Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 10 11 10 8 7 6 6 7 7 7 8 8 7 7 6 6 6 6 7 8 7 6 6 7 8 9 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 9 8 7 7 8 9 10 10 10 9 8 7 7 7 7 7 8 9 9 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 9 11 12 12 11 10 9 9 9 10 12 13 12 10 8 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 9 10 11 10 8 7 6 6 7 7 8 8 8 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 6 7 7 7 7 7 8 8 9 11 12 11 10 9 8 8 8 9 10 12 12 10 8 6 6 6 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 9 8 7 7 7 9 10 10 9 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 9 9 10 10 9 8 6 5 6 6 7 8 8 8 7 8 8 9 9 8 9 9 10 9 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 10 9 9 9 8 8 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 8 8 8 9 10 11 11 10 8 7 6 6 7 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 8 9 8 7 6 7 9 10 10 9 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 9 8 8 8 8 8 8 9 9 10 10 9 8 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 10 11 11 11 10 8 8 8 9 10 11 10 9 8 8 8 8 9 8 8 8 8 8 7 7 8 10 10 9 8 9 9 9 8 8 8 7 8 9 9 9 8 8 8 8 7 7 7 8 8 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 10 9 8 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 9 11 10 8 7 6 6 7 6 6 6 6 6 7 8 8 7 6 6 7 9 10 10 9 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 7 7 8 8 7 6 7 8 9 9 10 10 10 10 10 11 11 12 12 11 11 10 9 9 9 10 10 10 10 9 9 8 9 10 9 9 8 9 8 8 8 8 10 9 8 9 9 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 8 10 11 12 11 10 9 8 8 7 7 6 6 7 7 7 8 9 9 10 10 11 11 11 11 10 9 8 8 9 9 9 10 10 9 9 9 8 6 5 5 6 7 6 6 5 5 6 6 7 7 7 7 7 7 8 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 9 9 8 7 6 7 9 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 10 9 9 9 10 10 9 9 9 9 8 8 9 10 10 9 10 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 6 6 7 7 7 7 8 8 8 9 10 10 10 10 10 11 9 8 7 6 6 6 7 7 7 8 9 10 10 11 12 13 11 10 8 8 8 8 9 10 10 10 9 7 5 3 3 4 5 7 7 7 6 5 5 5 6 6 6 7 7 7 7 7 8 9 9 9 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 7 6 6 8 10 12 12 11 11 11 11 11 10 10 10 10 10 10 12 12 12 11 10 10 10 10 9 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 9 10 12 12 11 9 8 7 7 7 7 7 7 8 9 10 11 11 11 12 11 10 9 8 9 9 9 10 10 9 6 4 2 1 3 5 8 9 9 8 7 6 6 6 6 6 6 7 7 6 6 6 7 9 9 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 7 6 6 8 10 11 12 11 10 9 8 8 8 7 7 8 8 8 9 10 11 10 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 10 10 10 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 6 7 7 8 9 9 9 10 12 13 11 10 9 9 9 8 7 7 7 7 9 10 11 11 10 10 10 10 10 11 11 11 11 10 9 7 5 3 3 4 7 9 11 11 10 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 7 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 10 11 10 9 9 9 8 7 6 8 10 12 11 10 8 7 5 5 4 5 5 5 6 6 6 6 7 7 7 6 6 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 9 10 10 9 8 8 8 8 9 9 9 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 7 7 7 7 8 8 9 8 9 10 11 11 10 10 10 9 8 7 6 6 7 8 9 10 10 10 10 10 10 11 12 12 12 11 9 8 7 5 5 6 8 10 11 11 9 8 8 9 9 10 10 9 8 7 6 6 5 6 6 7 6 6 6 nan
nan 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 8 8 8 10 11 11 10 10 9 10 9 7 7 9 11 11 10 8 6 5 4 5 6 6 6 5 5 4 3 3 3 4 4 5 5 5 5 6 6 5 4 4 4 5 6 6 6 6 7 7 8 8 8 9 10 10 10 9 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 8 10 11 11 11 10 10 8 7 7 7 7 6 7 8 9 9 10 11 11 11 11 11 10 9 8 7 6 6 7 8 10 11 10 8 7 6 7 8 9 10 10 9 9 8 7 6 6 6 6 6 5 5 6 nan
nan 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 9 8 8 8 10 11 11 11 10 10 11 10 8 7 9 10 11 9 6 5 4 5 7 9 10 9 7 5 3 2 1 2 3 5 5 5 4 5 5 6 6 6 5 5 5 5 5 6 6 7 7 8 8 9 10 11 11 10 8 7 8 9 9 9 9 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 8 8 8 8 8 7 7 7 7 6 5 6 8 10 11 11 11 10 9 9 8 8 7 6 6 7 7 8 9 9 10 9 9 9 9 8 8 7 7 7 8 9 10 10 9 7 6 6 7 8 8 9 10 10 9 8 8 8 7 7 6 5 5 5 6 nan
nan 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 9 8 8 8 8 10 11 11 11 11 11 12 10 8 7 9 11 11 9 5 3 4 6 8 11 11 10 7 4 2 1 2 3 5 6 6 5 5 5 5 7 8 9 8 6 5 5 5 6 7 7 7 8 8 8 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 7 7 7 7 7 8 8 8 7 6 7 7 8 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 9 9 10 9 8 6 6 7 7 8 9 9 10 9 9 9 9 9 8 7 7 6 7 7 nan
nan 10 9 9 8 8 7 8 8 9 9 10 9 9 9 9 9 10 9 9 9 9 9 10 11 12 12 13 12 11 9 8 8 8 8 9 11 12 12 11 10 10 9 8 8 9 11 11 8 4 3 4 6 8 10 11 10 7 4 2 2 5 7 7 7 7 6 6 7 8 10 11 11 9 6 4 5 7 7 8 8 8 8 7 7 7 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 9 9 9 9 8 7 6 6 6 6 7 7 8 9 10 10 8 7 6 7 9 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 nan
nan 11 11 10 10 9 8 8 8 9 9 10 10 10 9 10 10 10 10 10 9 9 10 11 11 12 12 13 13 11 9 9 8 8 8 9 11 12 12 11 9 9 9 9 9 10 11 10 7 3 2 4 6 8 9 11 10 8 5 3 4 7 9 8 7 7 8 9 11 13 13 12 10 7 5 6 7 8 9 9 10 9 8 7 6 7 8 10 11 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 8 7 6 6 7 7 7 7 8 10 11 11 10 9 7 7 7 9 10 10 9 8 8 8 8 9 10 10 9 8 8 9 9 9 9 8 8 8 8 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 8 8 9 10 10 10 10 9 9 9 9 9 nan
nan 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 10 10 11 11 11 11 12 12 13 13 11 10 9 8 8 8 9 11 11 11 10 10 9 10 10 10 11 11 10 6 3 2 4 6 8 10 12 11 9 5 3 4 5 7 6 5 6 9 12 14 14 12 9 7 6 6 8 9 10 10 11 10 9 7 7 7 7 8 9 11 12 12 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 10 10 10 9 7 7 7 7 9 10 10 9 8 8 8 8 9 9 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 10 10 10 10 9 9 9 9 10 nan
nan 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 12 12 12 12 11 10 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 6 3 3 5 7 9 11 13 12 7 4 2 3 4 5 5 5 7 11 13 14 11 8 6 5 6 7 8 9 10 11 11 10 8 8 8 8 8 9 9 10 11 11 11 10 10 9 10 10 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 7 8 9 9 9 8 8 8 9 10 10 nan
nan 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 12 13 13 13 12 12 12 12 12 12 11 10 10 11 12 13 11 9 9 10 10 10 10 10 10 10 9 8 6 5 5 6 9 11 14 15 10 4 2 2 4 4 4 6 7 9 11 12 11 9 7 6 6 7 8 8 9 10 10 9 8 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 7 7 7 7 8 8 9 9 8 8 8 9 10 10 9 8 8 8 8 8 7 7 8 9 9 9 9 9 9 10 9 9 8 8 9 9 8 8 8 9 8 7 6 5 5 5 5 5 6 7 7 6 6 6 7 8 9 10 10 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 12 12 11 11 12 14 14 12 10 9 9 9 9 9 10 10 10 9 8 7 6 7 9 11 12 14 13 7 2 1 3 5 6 5 6 8 9 10 10 10 9 9 8 8 8 8 9 9 10 9 8 7 7 7 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 7 8 8 9 9 9 9 8 8 8 9 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 9 9 9 8 8 9 8 6 5 5 5 4 5 5 5 5 5 5 5 5 7 8 9 9 9 nan
nan 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 10 10 11 12 13 14 14 14 14 14 13 13 12 12 11 12 13 15 15 12 10 9 8 8 9 9 10 10 9 9 8 7 7 8 10 12 13 13 10 5 2 2 5 7 8 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 7 5 4 5 5 6 6 6 6 6 6 7 8 9 9 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 9 8 7 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 nan
nan 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 11 12 13 15 15 15 14 14 13 13 12 12 11 11 12 14 15 14 12 10 8 8 8 9 9 9 9 9 8 8 7 7 8 11 12 13 12 8 4 3 4 7 9 10 9 9 9 9 9 9 8 8 9 10 10 9 9 8 8 9 9 8 6 4 4 4 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 13 14 15 15 14 13 13 12 11 11 11 10 11 12 14 15 14 11 9 8 8 8 9 9 9 9 9 9 8 7 7 8 10 12 12 11 8 5 5 6 9 10 10 9 9 8 8 8 8 8 8 9 10 10 9 8 8 9 9 8 7 5 4 4 5 6 6 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 7 7 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 5 5 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 12 11 11 11 11 10 10 9 10 12 14 15 14 10 8 7 7 8 8 9 10 10 10 10 9 8 7 7 9 10 11 10 8 6 6 7 9 10 9 9 8 7 7 6 7 8 9 10 11 11 9 8 10 11 10 8 6 5 4 5 6 7 7 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 7 7 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 nan
nan 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 11 13 14 14 10 7 7 7 7 8 9 10 11 11 11 10 9 8 7 8 9 10 9 7 6 7 8 9 9 9 9 9 8 7 7 9 10 11 12 12 11 9 9 11 12 10 7 5 4 4 6 6 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 nan
nan 9 9 9 10 10 10 10 10 9 8 8 7 8 7 7 8 9 10 10 10 9 8 7 6 6 7 8 8 8 8 9 10 12 14 14 10 8 7 7 7 8 9 10 11 11 10 10 9 8 8 9 9 10 9 7 6 8 9 10 9 9 9 9 9 8 9 10 11 11 12 12 10 9 9 10 9 7 4 2 2 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 8 9 9 8 8 8 8 9 9 9 8 8 7 6 6 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 nan
nan 9 9 9 10 10 10 11 10 9 8 8 7 7 7 7 8 9 9 10 9 9 7 6 5 5 6 6 7 8 8 9 10 11 13 13 11 8 7 6 7 8 9 11 11 11 10 9 8 8 9 9 10 10 8 7 7 9 10 11 10 8 7 8 9 10 10 10 11 11 11 10 8 7 7 6 4 2 1 0 2 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 8 9 9 8 8 8 8 7 7 7 8 8 9 8 8 8 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 8 8 7 7 7 7 7 8 8 8 8 8 8 7 nan
nan 8 9 9 10 10 11 11 11 10 9 8 8 7 7 7 8 8 9 9 9 8 7 6 6 6 6 6 7 8 9 9 9 10 12 12 10 8 7 6 7 8 9 11 11 10 9 8 8 7 8 10 10 10 8 7 8 10 11 12 10 7 5 7 9 10 11 11 10 9 9 9 8 7 5 2 -0 -1 -0 2 4 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 8 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 8 9 10 11 11 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 6 7 8 9 10 9 8 10 11 12 10 8 7 6 7 8 10 11 11 10 10 9 7 7 8 10 10 9 8 7 9 11 13 13 10 7 6 8 11 12 11 10 8 7 7 7 7 6 3 -1 -2 -0 2 5 7 8 8 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 8 8 8 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 nan
nan 9 10 11 12 12 12 11 10 10 9 9 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 9 10 11 9 9 10 11 11 10 8 7 6 7 9 10 11 11 11 11 10 7 6 8 9 9 8 7 7 9 11 13 13 11 9 9 11 12 12 11 8 6 4 6 8 9 6 2 -1 -0 3 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 8 9 9 9 8 8 8 8 8 9 9 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 nan
nan 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 11 12 11 10 10 10 10 9 8 7 7 8 10 11 11 11 11 11 10 7 6 8 9 8 7 6 7 9 12 14 13 12 11 11 12 11 9 8 6 5 5 7 10 11 7 1 1 3 6 7 8 9 9 8 7 6 7 7 7 7 7 7 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 10 10 9 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 8 7 7 8 9 9 9 9 9 nan
nan 11 12 12 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 11 10 10 10 9 8 8 8 10 11 11 11 10 11 11 10 7 7 8 8 7 5 5 6 9 12 13 13 13 12 11 9 7 5 6 6 6 7 9 11 11 6 2 4 6 8 9 9 10 10 9 8 7 7 8 8 7 7 8 9 8 8 9 9 10 10 9 8 9 9 9 9 10 9 9 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 10 10 10 9 8 8 9 9 9 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 8 7 8 8 9 9 9 9 9 nan
nan 13 13 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 10 11 12 12 11 10 10 11 10 9 8 9 11 12 12 10 10 11 11 10 9 9 10 8 6 4 3 5 9 11 13 13 13 12 9 6 4 5 7 8 8 9 9 10 8 5 5 8 10 11 10 11 11 11 10 9 8 8 8 8 8 8 9 9 8 9 9 10 10 10 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 10 11 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 nan
nan 13 12 12 11 11 11 11 11 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 10 9 9 10 10 11 11 11 11 10 11 11 10 9 9 10 11 12 12 11 10 11 10 10 10 11 10 8 5 3 3 6 9 11 13 13 13 11 7 5 4 6 8 9 9 9 9 8 7 7 9 12 13 13 11 11 11 10 10 10 10 9 8 8 8 9 9 9 9 10 11 11 10 9 8 7 8 8 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 9 10 10 9 9 9 9 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 8 8 8 7 7 8 8 8 8 nan
nan 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 12 11 11 11 11 11 12 12 10 7 5 4 5 7 10 12 14 13 12 9 6 5 6 7 9 9 9 9 9 9 9 10 12 14 14 13 11 9 8 9 9 10 9 7 7 8 9 9 9 9 10 11 12 11 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 8 8 8 8 8 8 9 10 11 10 9 9 8 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 9 9 10 10 9 9 9 8 7 7 8 8 7 7 nan
nan 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 9 10 11 11 11 11 11 11 12 13 14 12 11 11 11 12 12 13 11 8 7 6 6 7 8 10 13 14 14 11 9 7 7 8 9 10 10 9 9 10 10 11 12 14 15 14 12 10 8 7 7 8 8 7 6 8 10 11 10 9 9 11 12 11 10 9 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 9 8 8 9 9 9 8 8 7 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 8 8 8 7 7 6 nan
nan 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 11 12 12 12 12 11 11 10 11 11 11 11 10 10 10 11 12 12 12 12 12 12 13 14 14 13 11 11 12 13 13 12 9 7 7 8 8 9 9 11 12 13 13 11 9 8 8 9 10 10 10 10 11 11 12 12 13 14 14 13 11 9 8 7 8 8 7 7 8 11 12 11 10 9 10 11 11 10 9 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 9 9 9 8 8 8 10 11 11 10 9 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 9 9 9 9 9 8 8 7 7 6 nan
nan 6 5 6 6 6 7 7 8 8 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 11 11 12 12 13 14 14 14 14 14 14 13 13 12 11 11 12 13 13 10 7 7 8 9 10 10 10 10 12 12 12 11 10 9 10 10 10 10 11 12 12 12 13 13 13 13 13 11 10 9 8 9 9 9 9 9 10 11 11 10 9 9 11 11 10 9 9 9 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 8 8 8 10 11 11 10 9 9 9 9 9 8 7 8 8 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 nan
nan 5 5 5 5 6 7 7 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 15 15 14 13 12 11 11 11 11 12 12 11 8 7 7 9 10 10 10 9 10 11 11 12 11 11 11 11 11 10 10 11 12 12 13 13 13 13 12 11 9 9 9 8 8 9 10 11 11 11 10 9 9 10 11 12 11 10 9 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 9 11 11 10 9 9 9 10 10 9 8 7 8 8 9 9 8 8 8 8 9 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 nan
nan 4 5 5 5 6 7 7 8 8 8 9 9 9 10 10 11 11 12 12 13 13 13 13 14 13 12 12 11 12 13 14 15 15 15 16 15 15 14 13 12 11 10 10 11 12 11 9 8 8 8 9 9 9 9 9 9 10 10 11 12 12 13 12 11 10 10 11 12 12 13 13 13 12 11 9 8 8 9 8 8 10 11 12 12 11 11 11 11 12 12 12 11 10 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 8 10 11 10 9 9 9 10 10 10 9 8 7 7 8 8 9 9 8 8 8 8 9 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 8 9 9 9 9 9 10 10 10 10 9 9 8 nan
nan 4 5 5 5 5 6 7 8 9 9 9 9 9 10 11 11 12 12 12 13 13 14 15 15 15 13 12 11 11 12 13 14 15 15 15 15 15 14 14 13 12 11 11 12 11 10 9 8 8 9 9 9 9 8 8 8 9 10 10 11 12 13 12 11 10 10 11 11 12 13 13 13 11 9 8 7 8 9 10 11 12 13 14 13 11 11 12 13 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 10 10 9 9 9 10 10 10 9 9 8 7 7 7 8 8 9 8 8 8 8 8 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 8 8 9 9 9 9 10 10 10 10 10 9 nan
nan 4 4 4 4 5 6 7 8 8 8 9 9 9 10 11 12 12 12 12 12 12 13 15 16 16 15 13 12 12 12 13 14 14 15 15 15 14 14 13 13 13 12 12 11 10 9 9 8 8 9 9 8 8 7 7 8 8 9 10 11 12 13 12 11 10 10 11 12 12 13 13 12 10 8 6 6 7 10 12 13 14 14 14 12 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 nan
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nan 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 12 13 14 15 16 16 16 15 13 12 11 11 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 7 7 8 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 8 7 7 7 6 6 6 7 8 8 8 7 7 7 7 10 14 17 18 17 13 10 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 6 3 4 6 7 8 10 10 8 5 3 1 -1 0 3 6 7 7 7 9 13 14 14 14 13 15 15 13 11 8 6 5 4 5 7 10 13 nan
nan 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 11 12 13 14 15 15 16 15 14 13 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 8 8 7 6 6 7 7 8 8 8 7 7 8 10 13 17 19 17 12 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 8 9 8 8 10 8 5 2 -0 -2 -2 1 5 7 7 7 7 9 12 14 15 14 14 14 13 11 8 6 5 6 6 8 10 13 14 nan
nan 12 12 11 11 11 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 9 8 8 8 9 9 10 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 6 6 6 7 8 8 8 7 7 8 9 12 16 19 18 13 11 9 8 8 9 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 9 8 9 10 8 6 3 1 1 3 5 7 7 7 7 7 8 10 12 13 13 13 13 11 9 7 6 6 7 8 10 12 13 13 nan
nan 11 11 11 12 12 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 7 7 7 8 8 11 15 18 17 15 12 9 8 8 9 10 10 10 9 9 9 9 9 9 8 8 9 9 11 11 10 10 11 11 10 8 6 6 6 7 8 8 7 7 6 6 7 8 9 10 11 12 12 10 9 8 8 8 9 10 11 11 10 10 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 9 9 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 6 5 6 7 7 7 7 8 8 10 13 16 17 15 12 9 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 11 11 12 13 11 9 7 7 7 7 7 7 7 7 6 6 7 7 7 8 10 12 13 12 10 9 9 9 9 9 9 8 7 6 8 nan
nan 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 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 9 9 9 8 8 7 8 8 8 8 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 8 8 8 8 9 9 9 9 9 10 9 8 6 5 6 7 7 7 8 8 8 9 11 14 17 16 13 10 8 8 8 8 8 9 9 9 9 8 7 8 9 9 9 9 9 10 11 12 12 9 5 4 5 6 6 7 7 7 7 6 7 7 8 8 9 11 13 14 13 11 10 10 9 8 6 3 0 0 3 8 nan
nan 7 7 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 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 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 6 5 6 7 7 8 8 8 8 8 9 12 16 17 15 11 9 8 8 8 8 9 9 9 9 9 8 9 10 10 9 9 9 9 10 11 10 7 2 1 3 4 6 7 7 7 7 7 7 8 8 8 9 10 13 14 15 13 11 9 6 3 -0 -3 -4 -1 7 12 nan
nan 7 7 8 9 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 9 9 9 10 10 11 11 10 9 8 8 8 8 9 9 10 10 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 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 5 5 6 6 6 6 7 8 9 9 9 8 8 8 11 15 17 16 12 9 7 7 8 8 8 9 10 9 9 9 9 10 10 9 9 9 9 10 11 9 4 -0 -1 1 4 6 7 7 7 7 7 7 8 8 8 8 10 14 17 18 16 10 5 1 -1 -2 -1 2 9 16 18 nan
nan 8 8 9 9 10 10 10 9 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 10 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 7 4 2 3 5 6 7 7 8 9 9 9 9 8 8 8 10 14 15 15 11 7 6 6 6 7 8 9 9 9 9 9 9 9 10 10 10 9 8 9 10 7 2 -2 -2 1 5 7 7 7 7 7 8 8 8 9 9 10 12 16 20 21 15 6 1 -1 1 3 6 10 17 21 21 nan
nan 10 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 12 14 14 14 13 12 11 10 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 12 12 11 10 8 5 4 5 6 7 8 9 9 9 9 9 8 8 8 8 10 12 12 12 9 6 5 4 5 7 9 9 9 9 9 9 9 10 11 11 10 8 7 9 8 6 1 -2 -1 2 5 7 7 7 8 8 8 9 9 10 10 12 16 20 24 19 10 2 -1 2 6 9 11 13 17 19 21 nan
nan 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 13 14 15 15 14 13 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 9 9 9 9 9 10 11 12 13 13 13 13 13 12 11 10 9 8 7 6 5 5 8 11 11 10 8 7 8 8 8 9 9 10 10 9 8 6 5 4 7 10 12 11 10 10 11 11 10 10 10 10 9 7 8 9 8 6 1 -1 1 3 5 7 7 8 8 9 9 10 10 11 12 16 21 25 23 13 5 1 2 7 10 11 12 13 16 20 24 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 12 12 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 9 9 8 8 8 9 9 10 12 13 13 12 12 12 11 11 10 10 9 8 7 5 3 7 12 12 10 7 6 7 8 9 9 9 9 8 8 8 6 5 6 10 13 13 12 12 12 13 13 12 11 11 9 8 7 8 8 8 5 0 -1 0 3 5 7 8 9 9 10 10 11 11 12 15 19 23 24 15 6 2 3 7 10 11 11 12 14 19 25 28 nan
nan 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 8 8 7 8 8 9 9 11 12 12 12 11 11 11 10 10 9 10 9 8 6 4 7 10 11 9 6 6 7 9 9 9 9 8 8 7 7 6 6 7 10 12 12 12 12 13 13 13 12 12 11 10 8 7 6 4 2 -2 -4 -4 -1 3 7 8 9 10 10 11 11 12 13 14 17 19 19 14 5 1 2 6 10 11 11 12 13 17 23 28 29 nan
nan 11 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 10 10 10 10 10 9 9 9 10 10 8 7 7 8 8 7 7 8 9 9 9 9 8 7 7 6 6 6 6 8 9 9 10 12 13 13 12 12 12 12 11 9 7 4 0 -3 -5 -6 -6 -2 2 6 9 10 10 11 11 12 13 15 16 17 17 16 13 7 3 3 6 10 11 12 12 13 17 23 28 30 26 nan
nan 13 13 13 13 13 13 12 12 11 9 9 9 9 9 9 10 10 10 10 11 11 12 13 13 12 12 11 10 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 9 9 7 6 4 6 9 10 10 10 9 8 8 7 6 6 6 6 7 8 8 9 11 14 15 13 12 12 11 10 7 3 -0 -3 -5 -6 -4 -2 1 5 8 9 10 10 11 12 13 15 18 21 22 22 20 17 13 10 9 10 11 12 12 13 14 18 25 29 31 28 21 nan
nan 13 13 13 13 13 12 12 11 10 9 9 9 9 10 10 10 10 11 11 12 13 14 14 14 14 13 12 11 10 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 8 8 8 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 8 5 4 7 10 12 12 11 10 9 8 7 6 6 6 7 8 8 8 9 12 15 15 14 12 10 6 2 -2 -5 -6 -5 -4 -1 3 7 9 10 10 10 10 11 13 15 18 22 26 29 28 25 22 18 15 12 11 12 12 12 13 15 19 26 30 30 27 20 14 nan
nan 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 16 16 15 15 14 13 12 11 10 9 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 9 6 6 9 12 13 13 12 12 10 8 6 6 7 8 8 9 9 9 10 12 13 13 12 10 6 1 -2 -4 -4 -1 1 5 9 12 13 13 12 11 12 14 17 20 23 27 29 31 30 25 20 16 12 8 8 9 11 12 13 15 20 26 29 28 23 18 13 10 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 12 13 15 15 15 15 14 14 14 13 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 10 9 10 11 12 11 12 12 11 9 6 6 9 10 11 11 11 11 11 11 12 13 13 13 11 6 4 3 5 7 10 12 15 18 20 19 16 14 15 18 21 23 24 25 26 25 22 17 12 8 5 2 1 5 10 13 15 17 21 26 29 26 22 16 12 10 10 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 14 14 13 14 14 14 13 12 11 10 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 8 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 11 11 10 9 10 10 9 7 5 9 14 16 16 15 13 13 13 14 16 17 19 19 17 14 13 14 16 18 20 22 23 24 22 17 13 11 14 16 17 17 16 15 13 9 6 4 5 6 6 5 9 13 17 20 22 24 27 29 27 21 16 12 11 10 10 nan
nan 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 13 13 13 13 12 11 10 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 7 8 8 9 9 9 8 8 8 7 8 8 9 9 9 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 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 7 6 7 12 16 17 17 15 14 15 17 19 21 22 23 22 20 19 19 20 22 23 24 24 23 19 13 7 3 5 9 11 11 9 9 9 8 6 7 11 15 18 17 17 19 21 23 24 25 26 26 24 19 15 12 11 11 10 10 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 10 10 10 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 9 10 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 9 9 9 10 10 11 11 11 11 11 11 10 9 8 7 6 6 6 7 9 11 12 12 12 11 12 15 17 19 20 19 19 17 15 15 16 18 19 20 20 18 14 10 6 4 4 9 13 16 17 17 18 18 17 18 21 24 26 25 21 19 18 19 19 19 20 19 18 15 13 11 11 11 11 10 9 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 10 10 9 9 9 10 10 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 9 9 9 9 10 10 10 11 10 10 10 10 9 7 6 5 5 5 6 8 9 9 9 9 9 10 11 13 15 15 14 14 12 11 10 10 11 13 14 15 14 12 9 9 10 13 16 20 24 25 26 25 25 24 23 24 25 24 22 18 15 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 7 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 7 7 7 8 8 9 9 10 9 8 8 8 8 8 8 8 9 10 11 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 7 5 3 2 1 2 4 7 8 9 9 9 9 9 10 11 12 12 11 10 9 8 6 6 7 9 11 12 12 12 11 11 13 15 17 19 22 23 23 22 20 19 18 18 18 17 15 13 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 8 nan
nan 11 11 12 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 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 10 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 8 5 1 -1 -3 -4 -3 -0 3 6 7 7 8 8 9 10 10 10 10 10 9 9 7 4 1 2 5 8 11 13 13 12 11 11 11 12 13 14 15 15 15 14 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 nan
nan 12 13 13 13 12 12 12 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 8 9 9 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 9 9 8 7 7 7 8 8 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 9 9 8 4 -1 -5 -6 -6 -4 -1 2 4 5 5 5 6 7 7 7 6 5 6 7 8 7 4 -2 -4 -1 4 10 14 13 13 11 10 9 9 10 11 11 12 12 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 nan
nan 13 13 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 8 8 8 9 9 9 10 10 10 11 11 12 13 13 12 12 11 11 10 10 9 8 7 6 5 5 5 5 6 7 7 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 7 4 -1 -5 -7 -5 -1 2 5 6 7 6 6 5 5 5 4 2 0 0 2 5 5 4 -1 -6 -3 2 10 16 17 15 13 12 10 9 9 10 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 nan
nan 13 13 13 13 12 12 12 12 12 12 11 10 9 9 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 6 5 5 5 5 5 5 5 5 4 5 6 7 8 9 10 10 10 8 7 5 5 5 4 3 1 -1 -4 -5 -2 2 6 8 8 8 8 8 8 8 7 6 4 2 1 2 4 5 4 2 -2 -2 4 11 19 24 22 19 15 12 10 10 10 11 12 12 12 11 11 11 11 11 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 nan
nan 12 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 4 3 3 4 5 6 7 9 10 10 8 5 3 2 1 -1 -2 -2 -2 -2 1 4 7 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 7 4 3 7 14 21 27 28 24 20 15 12 10 10 11 12 12 12 12 11 11 11 11 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 nan
nan 11 11 11 11 11 12 12 12 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 7 7 6 6 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 7 8 10 10 8 6 4 3 3 2 2 2 3 5 7 8 8 8 9 9 9 10 10 10 11 11 11 10 10 11 11 11 10 10 9 10 14 20 25 27 24 20 17 13 11 11 11 12 13 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 27 89 201 377 624 916 1215 1478 1694 1873 1987 2023 2045 2048 1985 1825 1580 1309 1076 952 914 895 877 858 818 764 705 663 641 620 569 466 326 212 140 98 70 47 28 17 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 25 75 178 363 622 928 1227 1488 1701 1831 1891 1919 1921 1855 1690 1439 1172 940 848 808 809 819 807 763 697 638 592 543 474 381 273 170 102 62 39 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 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 18 63 183 391 685 999 1287 1525 1682 1754 1784 1779 1701 1534 1305 1065 859 764 718 720 737 728 682 619 578 535 461 360 248 143 75 40 21 10 5 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
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