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 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 10 12 13 13 13 12 11 10 8 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 6 4 5 8 10 10 9 9 9 9 10 11 9 6 3 1 3 6 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 6 7 8 8 7 7 7 6 6 nan
nan 13 14 14 13 11 10 10 9 9 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 10 12 12 12 12 12 10 9 8 8 8 9 10 9 9 8 9 9 9 9 9 9 9 9 7 5 3 3 6 9 9 9 9 9 9 9 9 8 7 5 2 1 3 6 7 7 7 7 6 6 6 7 7 7 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 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 nan
nan 15 16 15 12 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 9 10 11 12 11 11 9 8 8 9 10 11 10 10 9 9 10 9 9 8 7 7 8 7 6 4 4 7 9 9 9 9 9 9 8 7 7 8 7 3 -0 -1 2 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 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 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 nan
nan 16 15 14 11 9 8 8 8 8 9 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 8 8 7 7 8 9 10 11 11 10 10 9 9 10 10 11 10 10 9 10 10 10 9 8 7 7 7 8 8 7 6 8 9 9 8 9 9 8 6 4 6 9 9 5 0 -2 -1 2 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 8 7 7 6 6 5 5 5 5 5 6 6 nan
nan 15 14 12 10 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 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 7 7 8 8 7 5 5 6 7 8 9 9 8 5 3 4 7 9 7 2 -2 -3 -1 2 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 13 14 14 14 14 15 15 15 15 15 15 15 15 15 15 14 13 12 11 10 9 8 7 7 6 6 6 7 7 nan
nan 13 12 11 9 8 8 8 9 9 9 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 10 10 9 9 9 9 9 9 8 9 9 10 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 5 4 3 5 6 7 8 9 9 7 5 5 7 9 8 5 2 -1 -1 0 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 11 12 13 14 14 14 15 15 16 16 17 17 17 17 18 18 18 16 16 15 15 13 12 11 10 9 8 9 9 8 nan
nan 12 11 10 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 9 9 9 9 9 9 9 8 7 7 8 10 10 10 10 9 9 9 10 10 11 10 10 9 9 9 8 8 7 6 5 5 5 6 7 7 8 9 9 9 8 8 9 9 9 8 6 3 1 -0 1 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 13 13 14 15 15 15 16 17 17 18 17 17 17 16 16 14 13 12 11 11 11 10 10 nan
nan 11 11 10 10 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 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 7 7 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 8 9 9 8 8 8 9 9 10 10 10 10 9 9 9 7 4 1 1 3 5 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 12 12 12 13 14 14 14 15 15 15 15 14 13 12 12 11 11 10 9 nan
nan 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 11 10 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 7 7 8 9 9 10 9 9 8 8 9 10 10 10 10 10 9 9 9 7 3 2 3 5 7 8 8 7 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 9 9 9 10 10 10 11 11 11 12 12 11 12 11 10 10 10 9 8 7 nan
nan 10 10 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 8 7 7 7 8 9 9 10 10 10 10 9 9 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 10 10 10 10 10 9 8 6 3 3 4 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 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 9 9 9 9 9 9 9 9 9 8 8 7 7 6 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 11 11 12 12 12 11 9 8 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 9 9 8 8 8 8 9 8 9 9 9 9 9 9 8 5 4 4 6 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 11 12 13 13 13 13 13 12 12 10 8 7 8 9 9 8 8 8 8 7 8 9 9 10 9 9 9 9 9 9 8 8 7 8 9 9 9 8 8 8 7 7 7 8 8 8 8 9 10 10 9 7 4 4 6 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 nan
nan 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 11 12 13 14 14 13 13 13 13 11 8 7 8 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 7 6 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 10 11 11 11 11 11 12 13 13 13 13 13 13 12 9 8 8 9 8 8 7 8 8 8 8 9 9 9 10 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 6 7 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 nan
nan 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 12 11 11 11 12 11 11 12 13 13 12 10 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 8 7 7 7 7 8 8 8 9 10 11 12 13 12 11 10 9 9 9 9 10 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 7 7 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 13 12 11 11 11 11 11 11 12 13 12 11 11 10 8 7 7 7 8 9 9 10 10 10 9 9 9 9 8 8 7 6 6 6 7 7 8 8 9 8 7 8 8 8 7 8 8 8 9 9 10 11 11 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 nan
nan 11 11 11 11 11 11 12 11 11 11 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 12 10 8 7 6 7 8 9 9 10 10 10 10 10 10 10 9 9 7 6 5 5 6 6 7 7 8 8 8 8 8 9 8 9 9 9 9 9 9 8 7 5 5 5 5 5 5 5 6 7 8 9 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 12 12 12 12 13 13 13 12 9 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 9 8 7 6 5 4 4 3 4 4 4 4 4 4 4 5 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 13 13 13 11 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 7 6 6 6 7 7 7 6 7 8 9 8 7 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 11 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 13 12 12 11 11 11 11 12 14 14 14 13 11 11 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 8 9 9 9 10 11 13 14 14 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 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 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 12 13 12 11 10 10 10 11 12 13 13 12 11 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 7 6 6 6 7 9 10 9 9 8 7 7 8 8 9 9 9 9 9 10 12 13 14 15 15 15 14 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 nan
nan 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 9 10 10 11 11 11 11 12 12 11 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 9 9 8 7 6 6 7 8 9 10 9 9 8 8 8 8 9 9 9 8 7 6 5 6 8 10 11 12 12 11 11 12 13 12 12 11 11 10 10 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 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 9 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 8 8 9 9 9 9 8 8 7 8 9 9 9 8 6 4 2 2 3 5 5 5 6 6 8 9 10 10 10 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 nan
nan 11 11 11 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 10 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 8 8 9 9 9 9 9 9 8 7 7 7 8 9 11 11 10 9 8 7 7 8 8 9 9 9 9 8 7 8 8 9 9 9 8 6 4 3 3 3 3 3 3 3 4 5 5 5 6 6 6 7 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 7 7 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 6 6 7 9 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 6 6 5 5 6 6 5 5 4 4 3 3 3 4 5 6 6 6 6 7 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 9 9 9 8 7 7 6 5 4 2 2 3 4 4 4 5 7 7 7 7 6 7 7 7 7 6 6 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 9 9 nan
nan 8 9 9 10 10 11 11 11 11 10 10 10 11 10 10 10 9 9 8 8 8 7 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 10 10 9 9 9 10 10 10 9 9 9 8 7 5 4 5 5 4 2 3 5 7 7 7 7 7 6 6 6 6 6 6 6 6 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 9 10 nan
nan 8 8 9 10 12 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 9 8 8 9 10 10 11 10 10 10 9 9 9 10 10 11 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 8 9 9 9 10 10 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 6 5 5 7 9 10 11 10 8 7 6 6 6 6 6 6 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 7 8 9 9 nan
nan 8 9 9 11 12 13 14 14 13 12 11 11 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 11 9 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 10 10 10 11 11 10 9 8 9 9 9 9 8 8 8 8 8 9 9 9 10 11 11 11 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 9 9 9 9 8 8 9 10 11 12 12 10 9 7 7 7 7 7 7 7 7 7 7 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 nan
nan 8 9 10 10 11 12 13 13 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 12 11 10 9 8 8 8 9 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 11 11 10 9 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 10 11 10 9 8 9 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 12 12 11 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 nan
nan 8 9 9 10 10 11 12 11 11 12 13 14 15 16 16 16 14 14 13 13 13 13 14 14 14 15 15 15 15 14 13 12 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 7 7 7 7 7 8 8 9 10 9 9 9 10 10 11 10 10 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 9 9 9 10 10 10 10 11 12 15 16 17 17 16 15 14 14 14 13 13 13 13 13 14 14 15 15 16 16 16 15 13 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 10 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 9 9 9 9 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 8 8 8 8 8 8 8 8 8 7 nan
nan 8 9 9 10 10 10 10 10 11 13 15 16 16 16 14 13 13 14 13 13 12 12 12 12 13 13 14 15 16 17 17 17 16 15 14 13 12 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 9 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 9 10 10 10 11 11 12 12 11 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 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 10 10 10 10 10 11 12 12 13 13 12 12 11 12 12 12 11 10 10 9 10 10 11 12 13 14 15 16 16 16 16 16 15 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 9 9 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 11 11 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 9 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 10 8 6 5 5 5 6 6 8 9 11 12 14 14 15 16 16 17 17 16 15 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 10 10 9 9 8 8 8 9 10 10 10 11 10 9 9 9 10 10 10 11 11 12 11 9 9 9 9 10 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 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 9 9 9 9 8 7 7 7 8 8 10 11 11 11 11 10 8 5 4 3 2 3 3 4 5 7 9 10 10 11 13 14 15 16 17 17 16 14 11 8 7 8 8 9 9 10 10 10 10 10 9 8 8 9 11 13 13 13 12 11 10 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 10 11 11 11 10 10 9 8 8 9 10 10 10 9 9 8 9 10 10 10 10 11 10 10 9 10 10 11 10 10 11 11 10 9 8 8 9 10 10 10 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 5 5 5 5 5 6 8 9 8 7 6 7 9 11 12 13 15 16 15 13 10 8 7 8 9 10 11 11 11 11 10 8 7 7 9 12 14 14 14 13 12 10 9 9 9 8 8 8 9 9 9 9 10 10 10 9 9 10 11 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 11 11 11 10 9 9 10 10 10 10 10 11 10 9 8 8 10 11 11 10 10 9 9 9 9 9 9 9 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 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 9 11 13 14 13 12 11 10 10 11 11 11 11 12 12 11 10 9 8 10 13 14 15 14 12 11 10 10 9 8 8 9 9 10 11 10 10 9 10 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 9 8 9 10 12 12 11 11 10 10 10 9 9 9 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 8 8 8 7 7 7 7 nan
nan 8 8 8 9 9 9 9 8 8 9 10 10 11 12 11 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 10 11 12 13 13 13 13 13 13 12 12 12 13 13 12 11 10 10 12 13 14 14 13 12 11 10 10 10 9 9 9 11 11 11 11 10 10 10 10 9 9 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 9 10 11 11 9 8 8 9 9 10 10 10 10 10 9 8 8 9 12 13 12 12 11 10 10 10 10 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 8 8 8 8 8 8 7 7 nan
nan 9 9 9 10 10 9 9 8 8 8 9 9 10 10 9 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 14 14 14 15 15 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 9 8 8 8 8 9 10 11 12 12 11 10 9 9 9 8 9 10 10 10 10 10 11 11 10 8 8 8 9 10 10 10 10 11 11 10 9 8 9 11 13 14 13 13 12 11 11 10 10 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 8 8 8 8 8 8 8 nan
nan 10 10 10 10 10 9 9 9 9 8 8 8 8 8 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 13 14 15 17 17 17 17 17 16 15 14 13 12 12 13 14 15 16 16 16 15 14 13 12 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 9 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 8 9 10 10 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 11 10 10 9 9 10 12 14 16 15 14 13 12 11 11 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 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 8 7 5 4 4 3 3 3 5 8 9 9 9 9 9 9 9 8 9 9 10 10 11 13 15 14 13 12 13 15 17 18 18 19 19 19 18 17 16 17 18 20 21 21 21 20 19 17 16 15 13 11 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 9 9 8 8 9 10 10 10 10 10 10 10 11 10 10 9 9 11 15 18 18 17 15 14 13 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 nan
nan 10 10 10 9 9 9 10 9 9 9 8 9 9 7 5 4 4 3 2 2 3 7 10 10 9 9 9 9 8 8 8 9 9 10 12 13 14 13 12 10 9 10 12 14 16 17 18 18 19 19 19 20 21 22 21 21 20 20 19 18 17 16 14 12 11 10 11 11 11 10 10 9 9 9 10 9 9 9 8 8 8 8 8 9 10 10 11 11 11 12 11 11 10 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 11 15 19 20 20 18 16 15 15 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 9 8 8 9 10 10 10 9 9 9 9 9 8 6 6 6 5 3 2 1 4 8 9 9 8 8 8 8 7 7 8 9 10 10 11 11 10 10 10 9 9 9 10 11 12 12 13 13 14 15 16 16 16 15 15 15 15 15 15 15 14 13 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 11 11 11 10 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 10 13 17 20 19 18 17 16 16 16 16 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 11 9 7 6 6 7 9 9 9 9 9 10 10 9 8 8 8 7 6 3 1 2 5 7 8 7 7 7 7 7 7 7 8 9 9 9 8 9 10 11 10 10 9 9 8 8 8 9 9 9 10 10 11 10 11 11 11 11 10 10 10 11 11 11 11 10 8 6 5 6 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 10 10 10 11 12 12 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 11 13 14 14 14 14 14 15 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 13 nan
nan 14 11 8 5 4 4 6 7 8 9 10 11 11 9 9 9 9 9 8 4 1 3 5 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 11 11 11 11 10 8 7 7 6 6 6 7 7 8 8 9 9 9 9 10 9 8 8 9 9 9 8 7 4 2 3 6 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 7 6 5 6 7 8 8 9 10 12 12 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 14 15 nan
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