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 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 5 5 6 6 5 7 7 8 9 9 9 8 7 8 8 8 8 8 8 7 7 10 10 8 6 4 4 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 6 6 7 13 19 18 12 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 10 11 12 nan
nan 8 7 7 7 8 7 6 6 6 7 7 7 7 7 7 7 7 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 7 7 6 6 5 5 6 7 8 9 8 8 8 8 8 8 7 7 8 8 7 7 8 8 9 8 7 6 5 4 4 4 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 6 5 5 6 6 5 7 12 17 18 14 9 6 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 10 nan
nan 8 8 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 7 7 7 7 7 7 8 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 7 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 7 8 8 8 8 5 2 3 3 4 4 5 5 6 6 7 7 6 6 6 5 5 5 5 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 5 5 5 5 6 5 5 6 10 15 17 16 10 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 9 nan
nan 8 8 7 7 6 7 6 7 7 7 7 8 7 7 7 7 7 7 6 7 7 7 7 6 6 7 6 6 7 6 6 6 6 7 7 6 6 6 7 7 6 6 6 7 7 7 8 7 7 7 7 6 6 6 7 8 7 7 8 8 8 8 8 7 7 6 7 7 7 7 7 8 9 9 7 4 3 3 2 3 3 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 6 6 5 5 7 11 15 16 11 6 4 5 6 6 6 5 5 5 4 4 5 4 4 4 5 5 5 5 5 6 6 7 8 nan
nan 8 7 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 8 8 7 7 7 8 8 8 8 7 8 7 7 7 7 7 7 7 8 8 8 6 9 8 3 2 2 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 8 11 14 13 9 7 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 nan
nan 7 6 6 6 7 6 7 7 7 7 6 6 7 7 7 7 7 7 7 6 5 6 6 5 6 6 6 6 6 6 7 7 7 7 6 6 7 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 12 7 3 3 3 1 2 2 2 3 3 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 8 11 13 13 10 7 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 nan
nan 7 7 6 6 7 6 6 7 6 6 6 7 6 6 7 7 6 6 6 6 5 5 5 6 7 7 8 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 8 8 7 7 8 8 8 8 9 8 8 8 7 7 8 8 8 9 9 8 9 8 6 6 5 1 -0 1 1 1 1 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 8 11 12 12 9 7 5 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 nan
nan 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 7 8 8 8 8 7 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 9 8 8 7 3 -1 -1 4 3 1 0 1 2 2 2 3 3 4 4 4 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 8 10 11 12 10 7 5 3 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 nan
nan 6 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 8 8 7 8 8 8 9 9 9 9 9 9 8 8 9 8 8 8 8 9 8 6 4 1 3 7 7 4 2 1 1 2 2 2 2 3 3 4 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 11 13 11 8 5 2 1 1 2 3 3 3 2 2 2 2 2 2 2 3 4 4 nan
nan 6 6 6 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 6 7 8 8 7 7 7 7 6 6 6 6 7 8 8 7 7 7 7 7 7 8 7 6 7 7 7 7 7 7 6 6 7 7 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 6 6 6 7 7 8 6 3 2 2 3 2 2 2 3 3 3 4 4 3 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 8 10 11 11 9 6 3 1 1 2 2 3 3 2 2 2 2 2 2 3 3 4 nan
nan 5 5 6 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 6 7 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 7 7 7 6 7 7 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 6 3 3 2 2 2 2 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 8 9 11 11 8 5 3 2 2 3 3 3 3 3 3 3 3 3 3 3 nan
nan 5 5 5 6 5 6 6 6 5 6 6 6 6 6 6 5 5 6 7 8 7 7 7 7 7 7 7 8 7 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 8 8 8 9 9 8 8 7 7 8 8 7 6 6 5 8 10 5 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 6 6 6 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 7 9 10 11 9 7 6 5 4 3 3 4 3 3 3 3 3 3 3 nan
nan 4 5 5 5 5 6 6 6 6 6 5 6 6 5 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 7 8 7 7 7 6 6 6 7 7 8 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 8 9 10 9 9 10 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 7 10 9 6 4 2 2 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 5 5 5 6 7 8 9 10 9 8 7 6 4 4 4 3 3 3 3 3 3 nan
nan 4 5 5 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 7 6 6 6 6 7 7 7 7 7 7 6 6 7 7 8 7 7 8 8 9 9 9 8 8 7 8 9 9 9 9 9 7 7 6 7 7 8 7 7 7 7 7 6 6 7 8 7 7 8 7 9 11 10 4 2 3 3 3 3 4 5 5 6 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 7 8 8 7 6 6 6 6 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 5 5 5 5 4 5 5 6 6 6 6 8 9 9 9 8 7 7 6 5 3 3 3 3 3 nan
nan 4 4 4 4 5 6 7 7 7 7 7 7 6 7 7 6 6 6 7 8 8 8 8 8 9 8 8 8 7 7 8 8 8 7 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 8 8 8 8 8 9 9 9 10 9 7 6 6 7 7 8 8 8 7 8 7 7 7 8 8 7 7 7 7 9 12 11 4 2 3 2 2 3 4 5 5 6 6 5 4 4 4 5 6 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 5 6 6 6 7 7 8 10 10 9 7 6 4 4 3 3 nan
nan 5 4 4 5 6 6 7 7 7 7 7 7 8 8 7 6 6 7 8 9 9 8 8 9 8 8 7 7 7 7 7 7 8 8 8 7 7 6 7 7 8 7 7 7 7 7 7 8 7 7 8 8 8 9 10 10 10 9 8 8 7 8 8 9 9 10 10 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 7 7 6 6 6 7 8 9 8 4 2 1 2 3 4 4 5 5 5 5 4 3 3 4 6 6 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 7 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 6 6 6 8 10 11 10 10 8 6 4 3 nan
nan 5 5 5 5 6 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 8 8 8 9 8 7 8 7 7 8 8 7 7 8 8 8 8 7 8 8 8 8 7 7 7 7 7 8 8 8 7 8 9 10 10 10 10 8 8 8 8 8 8 8 9 10 9 9 8 8 8 7 7 8 9 9 10 9 8 8 8 7 7 7 7 6 7 7 6 8 12 10 6 3 3 3 4 4 5 5 5 4 2 2 3 4 5 6 6 6 7 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 6 5 5 6 6 5 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 6 7 9 10 11 12 10 6 5 nan
nan 6 6 5 5 6 7 7 7 7 7 7 8 8 7 7 8 8 9 9 9 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 9 10 11 10 9 8 8 8 9 9 9 9 8 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 7 7 7 7 8 7 6 7 8 10 11 9 6 6 7 8 9 8 6 4 2 2 2 4 5 5 5 5 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 6 6 8 10 12 12 10 8 nan
nan 7 7 6 5 5 6 7 7 7 7 8 9 8 7 7 7 8 8 9 9 8 8 8 8 9 9 8 7 7 6 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 8 9 8 7 7 7 8 10 10 10 10 8 8 9 9 9 9 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 8 7 7 7 5 6 8 10 9 9 13 16 16 15 11 7 3 1 2 4 4 4 5 4 5 6 7 8 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 8 9 11 11 11 nan
nan 8 8 7 5 6 6 6 6 7 7 8 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 6 7 7 7 7 7 8 9 8 8 8 8 8 7 8 8 9 9 9 7 7 7 8 10 10 10 10 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 7 8 8 8 7 8 7 7 7 7 8 8 8 9 8 6 7 8 6 6 7 8 9 9 11 16 20 20 17 10 4 2 3 3 4 5 5 4 5 5 6 7 8 9 9 8 6 6 6 6 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 6 5 5 5 5 6 6 6 7 7 8 10 10 nan
nan 9 9 8 6 5 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 9 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 10 10 9 10 10 10 10 11 11 9 8 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 8 9 8 7 7 7 7 7 6 7 8 7 7 7 8 12 16 16 10 4 2 3 4 4 5 5 5 5 5 5 6 8 9 8 6 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 5 6 6 7 7 7 8 8 nan
nan 9 9 8 6 5 6 6 7 8 8 8 8 7 7 7 7 7 7 8 9 8 9 9 9 8 7 7 8 8 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 8 9 10 11 10 10 10 10 10 10 11 12 12 11 11 10 8 8 8 8 8 8 9 9 8 7 7 7 7 8 9 8 8 8 7 7 8 9 10 8 7 7 7 7 7 7 7 6 6 6 6 6 7 10 10 8 5 4 4 6 6 6 6 6 5 5 5 6 7 8 8 6 4 3 4 4 5 5 6 6 7 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 6 6 7 7 7 7 nan
nan 9 9 8 6 5 5 6 8 8 8 8 8 8 8 8 7 8 8 8 9 8 9 9 8 7 7 7 8 8 9 9 9 9 9 10 8 9 10 10 10 10 9 8 9 9 8 9 10 11 11 9 9 9 10 10 11 12 13 13 12 11 10 9 9 9 8 8 8 9 8 7 7 6 6 7 8 8 8 7 7 7 7 8 9 7 6 7 7 6 6 7 8 7 7 6 6 6 6 7 8 9 9 7 8 10 10 10 9 8 8 7 6 7 8 9 8 7 4 3 2 3 4 5 5 5 5 6 7 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 9 9 8 8 7 6 5 5 6 6 6 7 7 7 6 nan
nan 9 8 6 6 6 6 6 7 7 8 9 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 10 10 10 9 8 9 10 11 12 14 13 12 11 11 11 11 10 10 9 8 9 8 7 6 5 5 6 7 7 7 7 7 7 7 8 9 8 6 6 7 7 6 6 6 7 8 8 7 6 6 5 7 8 7 8 10 12 14 15 15 14 12 12 12 11 12 12 11 8 6 4 2 2 4 5 6 5 4 4 4 6 7 9 10 11 11 10 10 10 10 9 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 nan
nan 9 8 5 6 6 7 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 8 7 7 8 9 10 11 12 13 12 11 11 11 11 12 13 11 9 9 8 7 6 5 5 4 5 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 8 8 8 6 5 4 5 6 5 5 6 9 12 14 15 16 17 16 15 15 16 16 13 10 7 4 3 2 4 5 6 7 6 4 3 3 3 5 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 8 8 7 7 nan
nan 7 7 6 6 6 7 7 7 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 8 9 10 9 8 7 6 7 8 9 10 11 12 12 10 11 12 12 14 16 15 12 10 8 7 6 5 5 6 6 6 8 8 8 7 6 7 8 9 8 8 8 8 8 7 7 7 7 7 7 6 5 4 4 5 5 4 5 6 8 9 12 13 12 13 13 12 11 11 11 9 6 4 3 3 3 5 7 8 8 6 5 3 1 1 3 4 6 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 8 8 7 nan
nan 7 6 6 6 7 7 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 8 8 8 9 9 7 6 6 7 8 8 9 10 10 10 9 10 10 12 14 17 17 15 11 8 6 4 4 5 6 7 8 9 9 8 7 6 6 7 8 9 9 9 9 8 8 8 7 7 7 7 5 4 4 4 4 5 5 5 6 8 8 8 8 8 9 8 6 3 3 4 4 4 4 3 3 4 6 8 9 9 8 7 5 2 1 -0 0 2 3 5 6 7 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 10 10 8 7 nan
nan 7 6 6 6 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 8 7 7 7 8 9 7 7 7 8 9 10 11 10 8 7 8 9 10 12 14 14 12 9 6 4 4 3 4 6 8 9 10 11 10 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 5 4 4 5 5 6 6 6 7 7 7 7 7 7 8 7 5 2 3 4 5 5 5 6 7 9 11 12 11 10 9 8 5 3 1 -1 -0 0 2 3 4 5 6 6 7 7 8 8 8 9 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 nan
nan 8 6 5 6 7 8 8 8 9 9 9 8 9 8 8 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 8 7 6 6 6 7 9 9 7 8 9 10 10 9 8 6 7 9 9 10 11 10 8 5 4 3 3 5 6 7 8 10 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 5 5 6 7 8 8 8 7 6 6 6 6 7 8 8 8 6 4 6 8 8 8 9 11 13 16 18 18 16 12 9 8 6 3 2 0 -0 -0 1 2 2 3 4 5 6 6 6 7 8 8 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 8 nan
nan 7 6 5 6 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 7 8 8 8 8 7 6 6 6 7 7 8 7 8 9 9 8 8 7 7 8 10 10 9 8 5 2 3 5 4 5 7 9 11 11 10 9 9 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 8 7 6 6 6 7 8 9 9 9 8 7 6 5 5 6 7 8 8 7 7 10 14 14 13 13 12 13 17 21 24 24 20 14 10 8 6 4 3 1 0 0 1 2 2 2 3 4 4 4 5 6 6 7 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 11 12 11 9 nan
nan 7 6 6 6 7 7 7 7 7 8 8 8 8 7 8 8 7 8 8 8 8 9 8 8 9 9 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 7 8 8 7 8 9 9 8 9 9 6 4 1 2 7 9 8 8 10 11 12 12 9 8 8 8 9 8 9 9 9 10 11 10 9 8 8 9 10 10 10 10 9 7 7 8 9 9 9 9 8 8 7 6 6 7 7 7 7 6 9 15 17 17 17 16 14 13 16 23 29 28 23 17 12 9 7 5 3 1 0 0 2 2 3 3 3 3 2 3 3 4 5 6 6 8 9 10 10 11 12 11 11 10 10 10 9 8 8 8 9 10 11 12 12 11 nan
nan 7 7 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 7 8 8 7 7 8 7 6 7 7 7 7 7 7 6 7 8 8 8 7 8 7 7 7 7 6 8 8 9 8 6 5 4 3 4 9 11 10 10 10 10 10 8 7 7 8 9 10 9 10 10 10 10 10 9 8 8 8 8 9 10 11 11 10 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 6 8 10 12 13 15 16 15 13 15 22 30 32 26 20 16 12 8 5 2 1 0 1 3 4 5 5 4 2 2 2 3 3 4 5 6 7 7 9 9 10 11 11 11 11 10 9 8 8 8 9 9 9 9 10 12 13 nan
nan 7 8 7 6 5 5 6 6 6 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 6 7 6 7 7 6 7 8 8 8 8 7 8 7 7 8 7 7 7 6 5 5 5 6 6 5 5 10 11 10 8 8 8 7 6 7 9 10 10 10 9 10 10 10 10 8 8 8 7 8 8 7 8 10 10 9 9 9 9 8 8 9 8 8 8 8 8 8 8 7 8 9 8 8 8 9 9 10 13 13 14 16 19 27 30 26 22 19 14 9 4 1 0 1 2 3 5 5 6 5 4 3 2 3 4 4 4 6 6 7 8 9 10 10 11 11 10 10 9 8 8 8 9 9 9 8 7 11 14 nan
nan 7 7 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 7 8 8 8 8 8 7 6 5 3 3 4 5 4 7 10 9 7 6 6 8 8 9 9 10 11 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 7 7 8 9 9 8 8 9 8 8 8 8 8 9 8 8 9 9 10 9 7 6 7 6 7 7 8 9 10 16 21 20 19 17 14 9 4 1 -0 1 2 4 5 5 5 5 5 4 3 3 4 5 5 6 7 7 7 8 9 10 10 11 11 10 9 9 9 9 9 9 9 7 7 8 10 nan
nan 7 6 6 6 7 6 6 6 6 7 7 7 8 8 8 9 8 8 7 7 7 8 9 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 7 5 5 6 7 7 8 9 9 9 9 9 7 6 6 5 5 3 2 3 5 8 9 7 5 5 7 9 10 11 12 11 11 10 10 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 8 9 11 9 9 8 6 5 3 1 1 2 0 0 2 6 10 13 14 15 16 14 8 2 1 0 1 3 5 6 6 6 6 5 4 3 3 3 4 5 6 7 7 7 7 8 8 9 10 11 10 10 9 9 9 8 8 9 8 7 6 7 nan
nan 7 7 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 8 8 7 6 7 7 7 6 6 6 6 6 6 6 7 8 8 8 9 8 6 6 7 7 8 8 9 9 9 8 8 8 7 7 6 5 4 4 4 5 6 6 6 7 8 8 9 10 10 10 10 9 10 9 8 7 8 8 9 9 9 8 9 9 9 9 8 7 7 8 9 9 9 9 9 9 10 10 9 9 9 9 11 10 8 7 6 7 10 8 5 5 5 7 9 11 12 12 12 13 14 16 14 10 4 2 2 3 4 6 6 5 6 6 5 4 3 2 3 3 4 5 6 6 6 7 7 8 8 9 10 10 10 10 10 9 9 8 8 8 7 6 5 nan
nan 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 8 8 7 8 8 7 6 6 7 7 6 6 6 7 6 6 6 7 8 9 7 7 8 7 7 8 8 7 8 9 9 8 7 7 8 8 9 9 9 8 7 7 6 6 4 4 5 7 7 7 7 7 7 7 8 7 8 8 8 8 8 9 8 8 9 10 10 10 10 10 9 9 8 9 8 7 7 8 8 9 10 10 9 8 9 10 9 8 7 8 8 9 11 12 14 15 16 18 21 23 22 20 18 17 17 16 14 12 9 5 5 5 6 6 6 5 6 6 5 4 3 2 2 2 2 4 5 6 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 7 7 7 nan
nan 7 7 8 8 8 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 7 7 7 8 9 8 8 7 7 8 8 8 8 9 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 8 6 5 7 7 7 6 5 6 7 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 10 9 8 8 8 7 8 8 8 9 9 8 8 9 9 8 7 7 9 9 10 9 11 13 15 18 19 22 26 29 28 24 21 18 15 13 12 11 8 7 7 8 7 7 6 6 6 5 5 3 2 1 1 2 3 4 6 7 7 7 7 7 7 8 8 10 10 10 10 10 10 9 8 8 8 8 nan
nan 7 6 7 8 8 7 5 5 5 7 7 7 6 7 7 7 7 6 6 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 9 9 8 8 8 7 6 7 8 8 8 9 10 10 10 11 11 10 10 10 9 9 9 8 8 7 6 6 6 8 7 8 7 7 8 9 9 9 10 10 10 10 11 10 10 10 10 9 9 9 8 9 8 8 8 8 8 9 9 8 8 7 9 9 9 11 12 12 11 12 13 17 21 25 27 26 23 19 15 13 11 11 9 9 9 8 8 8 8 8 7 7 6 5 3 2 2 1 1 3 4 5 6 7 8 8 7 8 8 8 8 9 10 10 11 11 11 10 9 9 9 nan
nan 7 7 6 7 7 6 5 5 6 7 7 7 6 6 7 7 7 6 6 7 7 6 6 5 5 6 6 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 9 8 8 7 7 7 7 6 7 8 8 9 9 9 9 9 10 10 11 11 11 11 10 8 6 6 7 8 8 7 7 6 7 7 7 10 11 10 10 11 10 10 9 8 8 8 9 9 9 8 8 9 8 8 8 8 8 9 9 9 10 9 9 9 7 8 10 11 12 10 11 12 14 17 18 15 14 14 13 11 10 9 8 8 8 7 8 8 9 8 8 8 7 7 5 4 3 3 2 2 2 3 4 6 7 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 nan
nan 8 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 7 6 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 7 6 7 7 8 9 10 10 9 9 10 11 11 12 12 12 11 9 7 5 6 9 8 8 7 6 7 7 8 10 11 10 10 9 9 9 8 8 7 8 9 9 9 9 9 8 8 8 8 8 8 10 10 10 11 11 10 9 8 8 9 9 9 9 10 10 9 7 3 2 3 5 6 7 7 6 4 5 6 6 7 8 8 8 8 8 8 7 7 5 5 4 3 3 2 2 3 5 7 8 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 nan
nan 8 8 7 6 6 6 6 6 6 7 8 8 8 8 7 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 6 6 7 8 7 7 7 8 8 8 8 9 10 10 11 11 11 11 10 10 10 11 11 10 10 7 5 5 5 7 7 7 9 9 9 8 8 8 8 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 9 10 10 11 10 9 9 8 7 7 8 8 5 0 -4 -5 -1 2 4 5 5 5 4 3 3 4 6 7 8 9 10 10 10 10 9 8 7 6 5 4 3 3 3 4 5 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 nan
nan 8 9 8 6 6 7 6 6 6 7 8 8 8 7 7 8 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 9 8 8 9 9 8 6 6 6 6 6 7 8 8 8 8 7 8 9 8 8 8 8 9 10 10 9 8 8 8 9 10 10 10 10 8 6 6 6 7 8 9 9 8 7 7 7 8 7 7 8 9 10 9 8 8 9 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 10 9 7 6 5 4 4 1 -3 -6 -1 4 6 6 7 6 5 4 4 5 6 7 8 10 11 11 12 13 13 12 10 9 7 6 4 3 3 4 5 5 7 8 8 9 10 9 8 9 8 8 8 8 8 8 9 9 9 10 nan
nan 8 9 9 8 6 7 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 8 8 9 9 10 9 9 8 8 8 7 6 5 6 7 7 7 7 9 9 8 9 9 10 9 9 8 8 8 8 7 6 6 7 8 8 8 7 7 7 8 9 8 8 8 9 9 8 7 8 10 11 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 8 8 9 9 8 7 7 5 2 1 1 0 2 6 8 8 8 8 7 7 6 7 8 9 9 9 10 11 12 13 14 14 13 11 9 7 6 4 4 4 4 5 6 7 8 8 9 9 9 9 9 9 8 8 9 9 8 8 8 8 9 nan
nan 8 8 9 9 8 7 6 6 6 7 7 6 5 5 6 6 6 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 10 10 9 8 9 7 6 7 9 9 9 8 8 8 9 9 10 10 10 10 10 9 8 9 8 8 8 7 7 8 8 8 8 8 8 7 8 9 8 8 8 9 10 10 11 12 13 12 9 8 9 9 8 8 9 10 9 9 9 9 9 9 9 9 8 9 9 9 8 7 8 9 9 10 10 11 9 5 1 2 4 4 6 8 8 7 7 8 8 8 8 9 9 10 9 8 9 9 11 12 13 13 12 10 8 6 5 4 4 5 5 6 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 nan
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nan 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 9 9 9 8 6 4 2 3 4 4 4 5 6 11 20 22 17 13 12 13 13 11 9 8 8 8 8 8 9 11 12 12 12 11 10 9 10 11 10 8 8 8 9 8 5 -3 -5 -2 1 4 8 13 14 13 13 14 13 12 12 14 13 13 12 12 12 11 10 9 10 13 14 12 9 6 3 2 1 1 -2 -4 -1 -1 -2 -3 0 5 6 5 6 4 1 -1 -0 1 4 7 10 12 13 12 11 11 13 13 12 11 9 8 7 9 9 9 10 13 15 16 16 14 11 9 9 9 8 8 10 11 10 10 10 11 13 13 12 12 13 13 12 11 13 15 15 16 18 18 19 19 18 nan
nan 9 9 8 8 8 9 10 11 11 9 9 9 9 9 9 10 10 10 9 10 10 9 5 2 2 3 4 5 5 7 14 18 18 14 11 12 13 12 10 9 8 8 8 9 9 11 13 12 11 11 9 10 11 13 13 11 10 9 10 10 10 3 -2 -3 -1 1 4 9 15 16 14 13 13 12 13 14 14 13 11 11 11 10 10 11 12 13 16 16 13 9 7 7 8 9 10 10 13 14 13 13 14 16 16 17 16 17 18 17 9 2 -2 -0 6 12 13 12 11 11 12 13 12 10 9 8 8 9 7 9 10 11 12 14 14 14 13 10 8 9 8 8 7 8 9 10 11 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 12 14 16 16 nan
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nan 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 11 13 14 15 10 3 2 2 3 3 3 6 12 14 14 13 14 14 11 9 8 9 9 9 10 9 10 10 10 11 10 9 11 17 22 20 14 12 15 19 19 18 14 7 2 1 3 4 6 12 16 16 14 13 13 13 15 15 14 13 12 12 11 10 9 8 9 11 11 11 8 11 19 23 24 23 23 24 24 25 23 22 23 24 26 29 33 31 29 26 24 22 21 18 16 14 11 9 8 9 12 12 12 11 10 9 8 8 8 8 8 10 12 13 13 12 11 12 12 10 9 9 11 11 12 13 13 14 14 15 14 13 13 13 12 12 11 11 11 11 11 12 14 15 16 18 nan
nan 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 10 10 12 13 14 15 12 5 2 2 2 3 3 4 7 12 13 13 14 13 11 8 8 10 9 9 10 10 10 9 10 12 11 10 12 16 21 22 18 16 18 23 24 21 15 8 2 1 4 4 6 10 15 16 15 13 12 12 14 15 14 12 12 12 10 9 7 7 9 11 11 10 9 13 17 20 21 24 27 28 28 26 24 24 26 27 28 29 29 26 23 20 18 19 20 20 19 14 10 10 10 12 14 13 12 11 10 10 10 9 9 10 12 14 14 13 12 12 13 13 12 10 9 10 11 10 11 12 12 13 12 13 14 12 12 12 12 12 11 11 11 11 11 11 11 12 13 16 nan
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