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 4 4 4 3 3 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 8 8 7 7 6 5 5 5 5 5 5 5 6 6 5 5 4 3 2 3 3 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 11 14 16 15 nan
nan 5 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 7 7 6 6 5 5 5 6 6 7 8 8 8 8 7 6 5 5 5 6 5 6 6 6 6 6 5 3 2 2 2 3 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 6 5 5 4 5 5 5 6 6 5 5 5 5 5 6 6 8 10 13 16 15 nan
nan 5 4 5 6 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 6 6 6 5 6 6 7 8 8 9 8 7 6 6 5 6 6 6 6 6 6 7 7 6 5 3 2 2 2 3 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 7 5 4 4 4 5 5 6 6 6 6 6 6 5 5 6 7 9 13 16 14 nan
nan 4 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 8 9 9 9 8 7 6 5 5 6 6 6 6 6 7 7 8 7 6 3 1 2 3 3 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 6 5 4 4 4 4 5 5 6 6 7 7 7 6 6 6 6 8 12 15 13 nan
nan 4 5 7 7 6 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 9 10 10 9 7 5 5 6 7 7 6 6 7 8 9 10 10 5 1 -0 2 3 4 4 4 5 5 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 6 5 5 4 4 4 4 5 6 6 7 7 8 8 8 8 7 8 11 13 9 nan
nan 5 7 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 6 7 7 8 9 11 12 12 10 5 3 5 9 9 7 5 6 8 10 11 12 9 2 -3 -1 2 4 4 4 5 5 5 5 4 4 5 5 6 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 6 5 5 4 4 4 4 5 5 6 7 8 8 10 11 12 10 9 10 9 6 nan
nan 7 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 8 7 6 6 6 6 6 7 8 10 13 15 14 11 8 3 3 8 11 9 5 4 8 11 11 9 7 3 -2 -3 -1 3 4 4 4 5 5 5 5 4 4 5 5 6 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 9 8 7 6 5 5 5 4 4 4 5 5 6 7 8 9 12 15 16 13 9 7 5 4 nan
nan 7 6 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 10 10 8 7 6 7 7 7 6 7 10 13 16 16 12 9 6 4 6 9 11 7 4 5 11 12 7 2 0 -1 -1 0 2 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 10 10 9 7 6 5 5 5 5 5 5 5 5 6 6 7 8 10 13 17 17 12 8 5 4 3 nan
nan 6 4 3 6 9 10 9 8 7 7 7 7 7 6 6 6 7 7 7 8 10 11 12 11 8 5 6 8 8 6 6 10 13 15 15 13 9 6 5 5 7 9 8 6 4 7 10 7 1 -2 -1 2 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 10 9 8 7 5 5 5 5 5 5 5 5 6 6 7 8 9 12 15 17 14 8 5 5 4 4 nan
nan 5 4 5 9 11 10 9 8 8 8 8 8 8 7 7 7 8 8 9 10 12 13 13 11 7 4 4 6 7 7 9 13 14 13 11 9 7 6 5 6 7 8 7 6 6 7 6 2 -1 0 3 5 6 5 5 5 5 5 6 6 6 6 5 5 5 5 6 7 7 7 7 6 6 6 6 7 6 7 7 7 8 8 8 9 9 9 10 9 7 4 4 4 5 4 4 4 5 6 7 8 9 11 14 15 14 9 5 5 5 5 5 nan
nan 6 7 8 10 10 9 7 7 8 8 8 8 9 8 8 9 10 11 11 12 12 13 11 9 7 4 2 4 7 10 12 13 12 9 8 7 6 6 6 7 7 7 6 6 6 5 4 2 2 4 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 6 6 6 7 7 6 6 7 7 8 8 8 8 9 10 12 12 8 4 3 3 4 4 4 4 5 6 7 9 11 14 15 13 10 6 4 5 6 6 6 nan
nan 7 7 8 9 8 7 6 7 7 7 7 9 9 9 9 10 11 11 10 10 10 9 8 7 7 6 4 5 8 11 12 11 8 7 7 7 7 7 7 7 7 7 6 5 5 5 4 2 2 4 5 4 4 5 6 6 6 7 7 7 7 7 6 6 5 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 9 10 13 15 13 9 5 3 3 3 2 3 3 5 6 8 10 14 16 15 10 6 5 4 4 5 6 7 nan
nan 7 7 8 7 7 7 7 7 7 7 8 9 9 8 8 8 9 9 8 7 6 6 6 6 6 6 6 6 8 9 9 8 7 8 7 6 6 6 7 7 6 5 3 2 2 3 1 -0 2 4 4 2 3 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 11 14 15 15 12 8 6 5 5 4 2 1 1 4 7 10 12 15 16 12 7 5 4 4 4 5 7 9 nan
nan 8 8 7 7 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 6 7 7 7 8 8 8 8 7 6 6 6 7 7 5 3 0 -2 -2 0 3 2 3 5 6 5 4 5 7 7 7 7 8 8 8 7 7 6 6 6 7 8 8 8 7 6 6 6 7 7 7 7 7 7 8 8 9 11 14 16 15 12 9 7 6 7 7 5 3 2 1 4 9 12 13 12 11 7 5 4 4 4 5 6 8 10 nan
nan 7 7 7 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 7 4 -0 -2 -2 1 5 8 10 11 12 11 8 7 7 7 7 7 8 8 8 8 7 7 7 6 7 8 9 9 9 7 6 6 7 8 8 7 7 7 8 10 11 12 15 16 14 12 9 7 6 6 7 7 7 6 4 4 6 10 11 10 8 6 4 4 4 4 5 7 8 9 10 nan
nan 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 8 8 7 4 2 4 6 9 12 15 16 16 14 11 9 8 8 8 9 10 11 11 11 10 9 8 7 7 10 12 12 11 10 7 5 6 9 10 9 8 7 8 11 14 14 14 14 13 11 9 8 7 7 6 7 7 7 6 6 6 7 7 7 6 6 4 3 4 4 5 7 8 9 9 9 nan
nan 7 7 6 7 7 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 8 8 7 6 6 7 8 8 7 6 7 9 11 13 15 16 15 12 10 9 8 8 8 9 11 13 15 15 13 12 11 8 6 10 15 16 14 12 9 6 5 9 13 12 10 8 7 10 14 17 15 11 9 8 7 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 6 7 8 9 8 7 nan
nan 7 7 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 8 6 6 5 6 7 8 8 8 8 8 9 10 11 12 12 10 9 7 7 7 8 8 9 12 14 15 13 11 11 10 6 6 13 18 17 13 10 7 4 5 11 15 13 9 7 7 10 14 15 11 8 6 6 6 7 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 4 5 7 7 8 8 8 8 7 nan
nan 7 6 6 7 7 7 7 7 7 7 6 6 6 6 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 10 11 10 9 7 8 6 4 8 15 17 13 9 8 7 4 6 11 12 10 8 7 7 9 10 10 8 7 6 6 6 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 7 8 8 8 7 7 7 nan
nan 6 6 6 7 7 7 7 6 7 7 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 5 6 10 14 13 10 7 7 7 6 7 9 9 8 7 7 7 7 8 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 6 6 5 5 5 5 6 7 8 8 7 6 6 6 nan
nan 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 8 9 9 9 9 9 9 9 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 10 10 9 7 7 7 6 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 7 8 7 6 6 7 7 nan
nan 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 6 5 4 5 7 8 9 9 9 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 5 4 4 5 6 7 7 6 7 7 7 nan
nan 7 7 7 8 8 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 5 4 5 6 8 9 10 10 8 8 7 8 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 7 7 6 6 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 6 nan
nan 7 7 7 8 7 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 6 5 5 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 7 7 6 6 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 6 6 7 7 7 8 8 8 7 6 5 nan
nan 6 7 8 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 6 5 6 7 8 9 8 7 6 6 7 7 7 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 6 7 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 6 5 5 nan
nan 6 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 6 5 6 6 nan
nan 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 7 7 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 7 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 7 nan
nan 8 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 6 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 6 7 7 6 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 nan
nan 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 6 6 7 8 8 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 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 8 nan
nan 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 nan
nan 6 5 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 7 7 6 6 6 7 7 7 7 7 8 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 8 8 nan
nan 7 6 6 6 7 6 6 6 7 8 8 7 8 7 7 7 7 7 7 7 8 8 7 7 7 8 7 7 6 6 6 7 8 8 7 7 7 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 7 6 6 7 6 6 7 7 8 8 7 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 7 6 6 7 7 7 7 7 6 7 7 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 nan
nan 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 8 7 7 6 6 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 7 8 7 7 7 8 7 7 7 8 9 9 9 8 8 7 6 6 6 6 6 6 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 nan
nan 7 7 7 7 7 7 8 8 8 8 9 9 7 7 7 8 8 7 7 8 8 8 8 8 8 8 10 10 10 9 8 7 7 6 7 7 7 7 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 nan
nan 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 8 8 7 7 7 6 6 7 7 8 9 9 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 8 8 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 7 7 7 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 10 10 10 10 9 8 8 7 7 7 7 8 8 7 7 7 8 9 7 7 7 7 7 7 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 nan
nan 6 7 7 6 7 7 7 7 7 7 8 8 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 7 7 7 8 7 7 6 7 8 8 7 7 7 8 8 8 8 8 7 8 8 7 6 6 6 7 7 7 7 8 8 7 7 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 nan
nan 7 7 7 6 7 7 8 7 7 7 8 9 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 8 8 7 7 8 8 8 7 6 6 6 7 7 7 7 8 8 8 7 8 8 8 7 6 6 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 nan
nan 6 7 7 7 7 7 8 7 7 7 8 9 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 6 5 5 6 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 nan
nan 7 7 7 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 7 6 5 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 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 7 7 7 7 7 7 7 7 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 9 9 8 8 9 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 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 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 nan
nan 7 7 8 9 8 8 7 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 10 9 8 7 8 9 9 8 8 8 8 8 7 6 6 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 8 8 8 8 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 10 9 8 7 8 9 9 9 8 8 8 8 7 6 6 7 7 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 10 9 7 6 8 9 10 9 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 9 9 9 nan
nan 8 9 9 8 8 9 9 9 8 8 8 8 8 7 7 8 8 7 7 8 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 8 9 10 9 8 8 8 8 7 6 6 6 7 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 7 7 8 8 8 9 9 9 9 nan
nan 8 9 9 8 7 8 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 9 9 7 6 6 7 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 nan
nan 8 8 8 7 7 7 8 8 7 7 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 8 9 8 8 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 9 9 10 10 10 9 9 8 9 9 9 10 9 9 9 9 9 9 nan
nan 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 6 6 7 8 9 9 9 9 9 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 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 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 9 9 9 9 9 9 8 7 6 7 8 9 9 9 9 8 8 8 7 7 6 6 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 10 9 9 9 9 8 6 6 7 8 9 9 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 7 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 8 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 10 10 10 10 11 11 10 10 10 nan
nan 6 6 6 6 6 7 7 7 7 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 9 8 8 7 7 7 8 9 9 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 13 12 12 11 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 8 7 7 8 8 8 7 7 7 8 7 7 7 7 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 12 13 14 15 14 14 13 12 nan
nan 8 8 8 7 7 8 9 10 10 9 8 8 8 9 9 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 8 8 8 8 7 8 8 8 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 13 15 16 15 15 15 15 14 nan
nan 9 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 8 7 8 8 8 8 7 7 8 8 8 7 7 7 8 7 7 7 7 8 8 8 8 8 8 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 8 8 7 7 8 8 9 9 9 8 8 7 7 8 8 8 7 7 7 8 8 8 8 8 9 10 11 13 14 15 15 16 17 17 15 nan
nan 9 9 10 9 8 8 9 10 11 11 11 10 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 9 10 10 12 14 17 19 18 16 nan
nan 9 9 9 9 9 8 9 9 10 10 10 10 9 10 10 11 11 11 11 10 10 11 11 11 10 10 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 7 8 8 8 9 13 17 19 17 14 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 8 8 8 7 7 7 7 8 7 7 7 7 8 8 11 13 14 11 8 nan
nan 8 8 8 8 9 9 8 8 9 9 9 8 8 9 9 10 11 11 10 9 9 8 8 9 9 9 8 8 8 8 8 9 9 10 9 8 7 7 8 8 8 7 7 7 8 8 9 9 9 8 8 7 7 6 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 5 2 nan
nan 9 8 8 9 10 10 9 8 8 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 7 7 8 8 8 9 10 10 9 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 7 7 7 8 9 9 9 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 7 5 3 2 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 10 11 11 10 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 8 7 7 7 7 8 8 8 8 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 7 6 4 4 5 nan
nan 8 8 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 9 10 11 11 11 10 9 8 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 9 8 9 9 9 9 8 7 7 7 7 6 6 5 4 4 4 6 nan
nan 8 7 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 10 10 11 11 11 10 10 9 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 8 8 9 8 7 7 7 7 8 9 9 9 10 10 10 9 8 8 8 8 7 6 5 5 4 4 5 7 nan
nan 8 8 8 9 8 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 10 10 11 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 5 4 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 7 6 5 5 5 5 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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