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 10 11 11 12 12 12 11 11 10 10 10 10 10 9 8 8 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 8 8 8 6 5 4 5 6 9 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 13 14 15 16 16 16 16 15 14 14 14 14 13 12 12 12 13 14 13 12 11 9 8 8 10 12 14 15 15 13 11 9 8 8 9 9 9 11 13 14 14 11 9 7 6 6 5 5 5 5 5 7 9 10 10 9 8 7 8 8 9 9 10 9 7 5 5 5 5 7 9 11 11 10 9 9 10 11 12 13 13 13 13 13 12 11 10 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 nan
nan 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 11 11 10 9 8 8 7 8 8 9 11 12 13 14 14 14 14 14 14 14 15 15 14 13 12 11 12 12 12 11 12 11 10 9 9 10 11 13 12 11 10 8 7 7 8 9 9 10 11 13 13 12 10 8 7 6 5 4 3 3 4 5 6 8 10 11 10 9 9 9 9 9 8 7 5 3 3 3 4 5 7 9 10 10 10 10 10 10 12 12 12 12 13 13 13 13 13 12 11 11 10 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 9 nan
nan 9 9 8 9 9 10 9 9 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 5 6 6 6 7 8 8 8 7 7 7 8 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 8 9 9 9 10 10 10 10 11 12 12 13 12 12 12 11 11 11 11 11 12 11 10 9 9 10 11 11 9 8 7 7 7 6 7 8 9 11 11 12 11 10 9 9 8 6 5 3 3 3 4 5 7 8 9 9 10 10 10 10 9 9 8 7 5 3 3 3 5 7 9 10 10 10 10 10 10 12 13 13 12 12 12 12 13 14 14 14 13 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 8 9 nan
nan 9 8 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 6 5 4 4 6 7 7 8 9 9 8 7 6 8 9 10 8 7 7 7 6 6 7 8 9 9 9 9 9 9 10 10 9 8 8 8 9 10 9 8 8 7 7 7 7 6 6 6 6 5 6 6 6 6 6 7 8 9 9 9 10 10 10 11 11 12 11 10 9 9 10 11 10 8 6 6 8 8 8 6 6 7 9 11 12 12 11 10 10 10 9 6 5 4 5 6 7 7 8 8 8 8 9 10 10 11 10 9 8 8 7 6 5 5 6 8 10 11 10 9 9 9 9 11 12 11 11 11 12 12 13 14 15 15 14 12 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 8 8 nan
nan 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 4 5 5 6 7 7 9 10 10 8 8 8 10 10 8 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 9 8 8 8 8 7 7 6 6 5 4 4 4 4 4 3 4 5 5 6 7 7 8 9 10 11 11 10 9 9 9 10 10 9 6 6 8 10 11 10 8 7 7 10 13 14 14 12 10 9 9 7 6 5 6 9 11 12 11 10 8 7 7 8 9 10 10 10 9 9 9 9 8 7 7 7 9 10 10 9 8 7 7 8 9 9 9 10 11 13 13 13 14 14 15 14 12 10 9 8 8 9 9 10 9 9 9 9 10 11 10 10 9 8 8 nan
nan 11 10 9 9 9 9 9 8 8 7 7 6 6 6 6 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 5 6 6 7 7 8 9 10 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 10 9 8 7 7 7 8 10 10 9 9 8 8 8 8 8 7 7 6 5 5 4 3 3 3 4 4 5 5 5 6 8 9 10 9 9 8 8 9 10 10 9 9 9 11 12 13 13 11 10 10 12 14 15 14 12 8 7 5 5 6 8 11 14 16 16 14 11 9 7 6 7 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 11 12 13 13 12 12 12 12 12 10 9 8 8 8 8 9 9 9 9 9 10 11 11 10 9 9 8 nan
nan 12 11 10 9 9 9 9 8 8 7 6 5 5 5 6 7 7 8 8 7 6 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 10 11 11 9 8 8 8 9 9 9 9 8 8 8 7 5 5 5 6 6 6 6 6 6 6 7 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 13 14 13 12 9 6 4 4 5 8 12 15 17 17 15 12 10 8 6 5 7 8 8 8 7 8 8 9 10 10 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 11 12 11 10 9 9 10 10 10 9 9 8 8 8 8 9 10 10 11 11 12 12 11 10 8 8 nan
nan 12 12 11 10 9 9 9 9 8 6 5 5 5 5 6 7 7 7 7 6 5 5 4 4 4 5 6 6 5 5 5 5 6 6 7 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 10 11 10 8 7 7 7 9 10 10 9 9 9 9 7 7 7 8 9 10 9 9 9 8 8 7 8 8 9 10 10 11 10 11 11 12 12 12 12 11 11 11 13 15 15 13 12 10 8 7 6 6 7 9 13 16 16 15 12 9 7 6 5 5 4 5 6 7 7 6 6 7 8 9 9 9 9 9 9 7 7 6 7 7 8 7 6 5 4 4 6 8 9 9 8 7 8 9 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 10 9 8 8 nan
nan 13 12 11 10 10 9 9 8 7 6 5 5 5 6 6 7 7 7 6 5 4 4 3 3 4 5 6 6 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 8 7 6 6 6 8 8 9 8 8 8 7 6 7 8 10 11 12 12 12 12 11 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 12 13 15 14 12 9 7 6 6 7 9 11 13 15 15 13 10 7 5 4 5 6 5 4 4 5 6 7 6 6 7 8 8 10 11 11 11 9 8 7 6 5 5 6 5 3 2 2 2 4 6 7 7 7 7 8 8 8 8 8 9 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 nan
nan 14 14 13 12 11 10 9 8 7 6 6 6 6 7 7 7 6 5 5 4 3 3 3 4 5 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 10 12 13 13 12 12 11 10 9 9 8 7 7 7 7 8 7 7 6 6 6 6 7 7 7 7 6 5 5 5 6 8 10 12 13 14 15 15 15 14 13 13 13 13 14 14 14 14 13 13 12 12 12 11 11 11 12 13 13 12 10 8 7 7 8 10 12 14 14 13 11 8 7 6 6 7 8 9 9 7 4 3 5 7 8 8 8 8 9 11 13 14 13 11 9 7 5 3 3 4 3 2 2 1 2 5 6 7 7 7 8 8 8 7 6 7 8 9 10 9 9 9 9 9 9 9 8 8 7 7 8 8 nan
nan 16 15 14 13 12 11 9 8 7 6 6 7 7 7 7 6 5 4 4 3 2 3 4 5 6 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 8 8 9 10 10 11 11 10 10 11 13 14 14 13 12 10 10 9 8 7 6 6 7 7 7 6 6 5 6 6 6 6 6 5 4 4 4 5 6 7 9 11 13 14 16 16 17 16 16 16 15 15 15 15 15 15 14 14 13 13 13 12 12 12 11 12 12 11 10 9 8 8 9 11 12 13 13 11 8 6 6 7 8 9 10 12 12 10 6 4 4 6 9 10 9 8 9 11 14 14 13 12 11 9 6 3 4 4 4 4 4 4 5 6 7 8 9 10 10 10 8 6 5 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 nan
nan 17 16 15 13 12 11 10 8 7 7 6 7 7 7 6 5 4 4 3 3 2 3 4 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 12 14 14 14 13 11 10 10 9 8 7 7 7 7 6 6 5 5 6 7 7 7 6 5 4 4 5 6 6 6 7 9 11 13 14 15 16 16 15 15 15 14 14 14 14 14 14 13 13 13 14 14 13 13 12 12 11 10 9 8 7 8 9 10 11 11 11 10 8 7 7 8 9 9 10 11 12 11 9 7 6 7 8 8 8 8 9 11 12 12 12 12 13 12 9 6 5 5 6 6 7 8 8 9 10 11 12 12 11 10 8 6 5 5 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 8 nan
nan 15 14 13 12 11 11 10 9 7 7 7 6 6 5 4 4 4 4 4 3 3 4 5 6 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 7 8 9 11 13 13 13 11 10 10 10 9 8 8 7 7 7 6 6 7 8 8 8 7 7 6 6 6 7 6 5 5 6 8 10 11 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 13 14 14 14 13 13 12 10 9 8 7 7 8 8 9 9 10 11 10 8 8 8 9 10 10 9 9 10 11 10 9 7 5 6 6 7 8 9 10 10 10 11 12 14 14 12 9 7 6 7 7 9 10 11 11 11 12 12 11 11 10 10 8 7 7 5 4 5 6 7 7 8 8 9 9 9 9 9 8 8 9 nan
nan 13 13 12 11 10 10 9 9 8 8 7 6 5 4 3 4 4 5 5 5 5 5 6 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 7 8 9 10 11 11 10 9 9 9 9 8 8 7 7 7 8 9 9 9 9 8 7 7 6 6 6 7 8 7 7 7 8 9 10 10 10 10 9 8 8 8 9 9 9 10 10 11 11 11 12 13 14 14 14 12 11 10 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 9 9 10 11 10 9 6 4 4 6 8 10 10 11 11 11 11 12 14 14 13 11 10 9 9 9 10 11 11 12 11 11 10 10 10 10 10 10 10 9 6 5 5 5 6 7 8 8 9 9 8 8 8 8 8 9 nan
nan 12 11 11 10 9 9 9 9 9 8 7 6 5 3 3 4 5 6 6 6 5 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 9 8 8 8 8 8 8 7 7 8 9 10 10 10 9 8 8 8 7 6 5 7 9 10 9 8 8 7 8 8 8 8 7 7 7 7 8 8 9 9 10 10 11 11 11 11 12 13 14 13 12 11 10 10 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 8 7 7 8 10 11 11 11 12 12 12 12 12 12 13 13 13 12 12 11 11 12 13 13 12 11 10 9 9 10 10 10 11 10 7 5 4 4 5 6 7 8 8 8 8 8 8 9 9 9 nan
nan 12 11 11 10 9 9 9 9 9 9 7 6 5 4 3 4 5 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 8 9 9 10 10 10 9 8 8 7 6 6 7 9 10 10 9 8 7 6 6 6 6 6 6 7 8 8 8 9 9 9 9 10 11 11 11 11 11 12 13 13 13 12 12 13 13 13 12 11 11 11 12 13 12 13 14 14 15 16 17 17 16 15 13 12 12 14 14 13 12 11 11 10 11 11 12 12 12 11 10 10 11 12 13 13 13 12 12 13 14 14 15 14 13 11 11 10 10 10 10 9 8 6 4 3 3 5 6 7 7 7 8 9 9 9 9 9 nan
nan 12 11 11 11 10 9 9 9 9 8 7 6 5 4 4 5 5 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 10 10 9 9 8 7 6 5 5 5 5 6 7 8 9 9 9 9 9 9 10 11 11 11 11 11 12 12 13 13 13 14 15 15 14 12 11 11 12 14 14 15 15 15 16 16 18 19 19 17 15 13 12 12 14 16 15 13 11 10 10 10 10 11 11 11 10 9 9 9 10 11 12 11 11 11 12 12 13 14 15 15 13 12 12 12 11 10 10 9 7 5 4 4 5 6 6 6 6 8 9 9 10 9 9 nan
nan 13 12 12 12 11 10 9 9 8 7 6 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 9 9 9 9 8 6 5 5 5 6 7 7 8 8 9 9 9 10 10 11 11 11 11 11 12 12 12 12 13 15 16 15 14 12 10 10 12 14 14 14 14 13 14 15 16 16 16 15 14 14 13 13 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 11 13 14 14 13 13 13 12 12 11 10 9 8 7 7 7 6 5 5 6 7 9 9 9 10 10 nan
nan 13 13 13 13 12 11 10 8 7 6 5 5 5 6 6 6 6 6 6 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 11 10 10 9 10 9 9 7 5 5 5 6 6 6 7 7 8 9 9 10 11 11 11 11 11 11 11 11 11 12 13 14 14 12 10 10 9 9 10 12 12 11 10 10 11 12 13 12 12 12 13 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 9 10 11 11 12 12 13 13 13 12 11 10 9 8 7 6 5 4 4 5 7 8 9 9 9 9 nan
nan 13 13 13 13 13 12 10 8 6 5 5 5 6 6 7 7 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 7 7 8 10 11 10 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 8 9 10 10 11 11 12 12 11 11 10 11 11 12 13 13 10 8 8 8 9 10 10 10 9 8 8 8 10 10 11 11 11 12 13 14 13 13 12 11 10 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 9 10 11 12 12 12 12 11 10 9 7 6 5 4 4 5 6 7 7 8 8 8 7 nan
nan 13 13 12 13 13 12 10 8 6 5 6 6 6 7 7 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 7 7 6 6 5 5 6 8 9 10 10 11 11 11 11 11 11 11 11 12 13 14 12 9 7 7 9 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 9 9 8 9 9 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 9 8 7 6 5 5 6 7 7 6 6 7 7 6 nan
nan 12 11 11 11 11 10 9 6 5 5 6 7 7 7 7 7 7 6 7 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 6 6 7 7 7 8 8 9 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 7 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 6 5 4 6 7 9 10 10 10 10 11 11 11 11 11 11 11 13 14 12 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 10 10 11 10 9 9 9 10 10 10 10 11 11 12 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 6 6 7 6 6 nan
nan 12 10 9 9 8 8 6 4 3 4 6 7 7 7 7 7 6 6 7 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 7 5 4 5 7 9 10 11 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 10 9 9 10 11 11 11 11 12 12 12 11 11 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 9 10 10 10 9 8 7 6 7 8 7 6 nan
nan 12 10 9 8 7 6 4 2 2 3 5 6 7 7 7 6 6 7 7 8 8 9 9 8 8 8 9 9 9 9 9 8 8 9 8 8 7 7 7 7 7 7 6 7 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 7 6 4 4 6 8 11 11 11 9 9 9 10 10 9 9 9 9 9 9 9 10 10 9 8 8 9 9 10 9 9 10 10 10 11 12 12 10 7 7 8 9 10 12 13 13 14 14 13 14 14 14 13 13 13 13 13 13 12 13 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 7 6 nan
nan 12 10 8 7 6 4 3 2 2 3 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 8 9 9 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 6 5 4 6 8 11 11 10 9 8 8 9 10 9 9 8 8 8 8 9 9 9 9 8 8 9 10 10 10 10 9 9 10 11 12 12 10 8 7 8 9 10 11 13 14 15 14 13 13 14 15 14 14 13 13 12 12 12 12 12 13 12 12 12 11 11 11 11 12 11 11 10 10 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 6 5 nan
nan 13 11 9 7 6 4 3 3 3 4 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 6 5 5 6 9 10 11 10 9 8 8 9 10 10 9 7 7 7 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 10 11 11 10 9 9 9 10 10 11 13 15 15 13 11 11 13 14 14 14 13 12 11 11 12 12 12 12 12 12 11 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 9 9 9 9 9 8 8 7 6 5 4 nan
nan 14 12 10 8 6 5 4 4 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 5 5 6 6 6 7 8 8 7 7 8 8 9 9 9 8 8 8 9 10 10 10 10 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 6 8 10 11 11 9 8 7 8 10 10 10 8 6 6 7 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 9 10 10 10 9 10 13 15 14 12 11 11 12 13 14 14 13 12 11 11 11 12 12 12 12 11 10 10 9 10 11 11 12 12 12 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 7 6 5 5 nan
nan 15 13 12 10 7 6 5 5 6 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 10 9 9 9 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 6 6 6 8 10 11 11 10 8 8 8 9 10 10 9 7 7 7 8 9 10 10 9 9 9 10 11 11 12 11 10 9 9 10 10 10 10 10 10 9 9 10 12 13 13 12 11 11 12 13 14 15 15 14 13 12 12 11 11 11 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 8 7 6 5 nan
nan 15 14 12 11 9 8 7 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 7 8 9 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 7 6 7 8 9 10 9 9 9 9 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 9 8 10 11 12 11 11 11 11 12 12 13 15 16 16 14 13 12 11 10 10 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 13 12 12 11 10 10 11 10 10 10 9 8 7 5 5 nan
nan 15 14 12 11 10 8 7 7 7 8 7 7 6 6 6 6 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 7 8 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 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 11 11 10 9 8 9 10 11 11 10 9 9 9 10 12 11 10 10 10 11 11 11 12 14 16 16 16 14 12 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 10 9 9 7 6 5 5 nan
nan 15 14 13 11 10 8 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 10 10 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 12 11 9 7 8 10 11 11 11 9 9 10 11 12 12 11 9 9 10 10 10 11 12 14 15 15 14 12 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 11 10 9 8 7 6 6 6 nan
nan 14 14 13 12 11 9 8 7 7 7 7 7 6 6 6 7 7 8 9 10 10 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 10 7 7 9 10 11 11 9 9 10 11 12 12 11 9 9 8 8 9 9 10 11 12 13 13 13 12 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 9 8 7 7 7 nan
nan 14 13 13 12 11 10 9 9 8 8 7 7 6 6 7 7 8 8 9 10 11 11 11 10 9 9 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 11 12 12 12 10 8 7 8 9 10 10 10 9 10 10 11 11 10 9 8 7 7 7 8 9 10 11 11 12 12 12 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 8 8 nan
nan 13 13 13 12 11 10 9 9 9 8 7 7 7 7 7 8 8 9 10 10 11 11 11 10 8 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 11 11 12 12 10 8 7 8 9 10 10 9 9 9 9 10 10 10 9 8 7 6 6 7 9 10 10 10 11 11 11 10 9 8 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 nan
nan 13 13 13 12 11 10 9 9 9 8 8 7 7 8 8 8 9 9 10 10 10 10 10 9 8 7 7 7 8 10 11 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 12 11 10 9 8 8 9 9 9 9 9 10 10 9 10 11 11 10 9 7 6 7 8 9 9 10 10 11 10 10 9 8 8 8 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 11 12 12 12 11 10 8 8 9 9 9 10 nan
nan 13 13 13 12 11 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 7 7 6 7 8 9 11 10 9 8 7 6 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 12 11 10 9 9 9 9 9 9 9 10 10 11 11 10 10 11 11 11 10 9 7 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 12 11 10 9 9 10 10 10 11 nan
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nan 14 13 13 12 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 9 8 7 7 8 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 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 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 12 10 8 7 7 7 7 8 9 11 12 13 13 13 13 12 12 11 11 11 11 11 11 10 9 9 10 11 11 12 12 11 10 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 12 13 14 14 14 13 12 nan
nan 13 12 12 11 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 12 11 9 7 7 7 7 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 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 9 9 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 13 12 10 8 7 7 7 7 7 9 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 10 9 9 10 10 11 12 11 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 12 12 13 13 13 12 12 nan
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nan 14 16 17 18 18 18 18 17 17 16 15 15 14 13 13 12 12 11 11 12 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 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 9 9 9 9 9 9 9 9 9 8 9 9 10 11 10 10 9 9 10 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 13 12 11 10 10 10 10 10 9 6 4 2 3 5 6 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 7 8 8 9 9 nan
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nan 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 9 8 8 8 7 7 7 7 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 10 12 13 12 10 9 9 9 7 5 3 2 3 6 7 7 7 6 6 6 5 5 6 6 7 8 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 12 11 9 8 8 8 8 8 9 9 10 11 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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