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 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 7 6 6 7 6 6 6 6 6 6 6 5 5 6 7 8 8 9 9 9 8 8 8 8 9 9 9 9 8 9 11 11 8 4 2 2 4 5 5 5 6 6 7 8 8 9 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 9 8 13 20 23 21 14 8 6 7 8 8 8 7 5 4 3 3 4 5 6 8 9 9 10 12 15 19 nan
nan 7 7 7 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 6 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 7 6 7 6 6 6 6 6 6 6 5 5 5 6 8 9 9 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 5 2 3 4 4 5 5 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 11 11 11 10 9 9 9 9 8 7 7 6 9 15 22 24 20 10 5 5 6 7 7 6 5 4 3 3 4 3 4 4 4 4 4 4 6 9 nan
nan 8 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 6 6 6 7 7 7 7 6 6 6 6 7 7 8 7 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 10 12 7 3 2 3 4 4 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 8 7 7 7 6 6 6 6 5 6 9 17 26 24 14 8 6 5 6 6 5 5 4 4 4 4 4 4 4 3 2 2 1 2 4 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 7 6 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 7 7 8 8 9 9 8 8 8 7 7 7 7 8 7 7 8 9 10 8 5 3 2 3 4 5 5 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 9 9 8 8 7 7 6 7 6 7 6 6 6 6 5 6 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 5 7 14 23 25 19 12 7 6 7 7 7 6 6 5 5 5 5 6 5 4 4 2 2 2 3 nan
nan 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 6 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 9 10 6 2 2 2 4 4 4 5 5 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 12 19 23 23 16 9 7 7 8 8 7 7 6 6 6 6 7 7 6 5 4 4 3 3 nan
nan 7 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 7 9 8 7 6 4 1 2 3 3 3 4 5 5 6 6 6 6 6 6 5 5 6 6 6 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 16 23 25 19 10 6 7 8 8 8 7 7 6 6 7 7 7 7 7 6 5 4 4 nan
nan 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 7 7 6 6 6 6 7 7 8 8 7 6 6 6 7 8 8 7 7 7 7 7 7 6 6 6 7 8 6 6 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 3 -0 0 1 2 2 3 3 4 4 5 5 5 5 5 5 4 4 4 5 5 6 7 8 8 7 7 8 7 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 13 20 23 19 10 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 6 5 5 nan
nan 6 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 8 7 7 6 6 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 7 7 7 7 7 6 6 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 7 4 2 2 5 3 0 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 7 10 15 19 17 11 7 5 6 6 6 5 6 6 7 7 7 8 7 7 7 7 6 6 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 8 7 8 7 7 7 7 8 9 9 9 9 9 9 8 7 8 8 7 7 7 8 7 6 5 4 6 10 8 3 2 2 2 3 3 2 3 3 3 4 4 4 4 4 4 3 4 4 5 5 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 11 15 15 11 8 6 5 5 5 4 4 5 6 6 7 7 7 7 7 6 6 6 nan
nan 5 6 6 6 5 6 6 6 6 6 6 7 7 6 7 6 5 5 6 8 9 9 9 8 8 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 6 6 6 6 7 8 7 8 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 6 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 7 10 11 11 11 10 7 4 4 3 3 4 5 5 5 5 6 6 6 5 6 5 nan
nan 5 5 6 6 6 6 6 6 6 6 7 7 6 6 7 5 5 6 7 8 9 8 8 7 7 8 8 8 7 8 8 8 8 8 7 8 8 8 8 7 7 7 7 6 6 6 6 6 5 6 6 7 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 8 7 5 2 1 1 1 2 2 3 3 4 4 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 7 8 10 12 13 11 7 4 3 4 4 4 5 4 4 4 4 5 5 5 5 nan
nan 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 8 9 8 8 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 8 8 8 9 8 8 7 8 8 8 9 9 10 10 9 9 9 8 7 8 8 8 7 7 6 6 6 6 7 7 6 5 7 9 4 -1 -0 1 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 6 5 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 8 10 12 12 11 8 6 5 5 5 5 4 3 3 3 3 4 4 4 nan
nan 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 9 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 8 9 9 10 10 10 9 8 7 7 8 8 7 6 5 5 6 6 6 6 7 7 6 7 9 8 5 3 2 2 3 3 3 4 4 5 5 6 5 5 4 4 4 4 5 6 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 8 10 11 12 10 7 6 5 5 4 3 3 3 3 3 3 3 nan
nan 4 5 4 4 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 9 8 7 7 7 7 6 6 7 7 7 7 7 7 6 6 7 6 7 9 8 8 8 8 8 9 8 8 8 8 8 9 9 9 10 9 8 7 6 7 7 7 6 6 5 5 6 6 6 7 8 7 6 7 7 8 11 9 4 2 3 3 2 3 4 4 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 7 9 11 13 11 9 7 6 5 4 3 3 3 3 3 3 nan
nan 4 4 4 4 6 6 6 7 7 7 8 8 8 8 7 7 8 8 9 8 8 8 9 9 8 8 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 7 7 7 7 6 6 8 9 8 9 9 8 9 9 9 8 8 8 8 9 10 10 10 9 7 6 7 7 7 7 7 6 6 6 7 7 7 8 7 7 7 7 7 8 10 11 6 2 1 1 1 2 3 4 4 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 5 6 9 11 12 12 10 8 5 4 3 3 3 3 2 2 nan
nan 5 4 4 5 6 7 7 7 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 7 6 6 7 7 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 6 7 7 7 8 8 4 1 0 1 2 3 4 4 5 5 5 4 3 2 3 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 7 9 11 12 10 6 4 3 3 2 2 2 2 nan
nan 5 4 5 5 6 7 8 8 8 8 8 9 8 7 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 9 9 10 10 10 9 8 9 9 9 9 9 9 10 9 9 9 9 9 8 7 6 7 8 8 8 8 6 6 7 7 7 7 8 7 7 7 6 6 8 6 5 4 4 5 5 5 6 6 6 5 4 2 2 3 4 5 5 6 6 6 7 7 7 8 7 7 7 6 6 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 7 7 7 7 8 7 6 5 6 7 10 12 11 8 5 3 2 1 2 2 3 nan
nan 5 5 4 5 6 7 8 8 8 8 9 9 8 7 8 8 8 9 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 7 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 9 10 10 9 9 10 10 8 8 8 9 9 8 8 7 8 8 7 7 7 6 7 8 8 7 7 8 8 9 8 7 6 5 6 9 11 11 11 11 10 11 12 10 7 4 2 2 3 4 4 5 5 5 6 6 7 8 8 9 9 8 8 8 7 7 7 7 8 7 7 8 8 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 7 6 6 6 7 9 11 10 7 4 2 1 2 2 2 nan
nan 6 6 4 4 5 7 7 8 8 9 9 9 8 7 7 8 8 8 8 7 7 8 7 7 7 7 7 7 6 6 7 7 7 8 7 8 8 8 7 7 7 7 8 8 7 7 8 7 7 7 8 9 9 9 9 8 8 9 10 11 10 10 10 10 9 8 7 8 8 8 8 8 8 7 6 6 7 6 6 7 8 8 8 8 8 9 9 8 7 7 5 5 7 10 12 13 15 17 17 16 14 9 5 3 3 3 4 5 5 5 5 5 5 6 7 8 10 10 10 10 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 6 6 6 8 9 10 9 7 4 2 1 1 2 nan
nan 7 7 5 5 5 6 7 7 8 9 9 8 7 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 7 7 8 8 8 8 7 7 7 8 8 8 7 8 7 7 7 8 9 10 10 9 9 9 10 10 11 11 11 10 9 8 7 7 7 8 8 8 8 7 8 7 6 6 7 7 6 7 8 7 7 8 9 9 9 8 7 7 6 5 6 8 9 10 11 13 14 13 11 9 5 3 4 4 5 5 5 6 5 4 5 5 6 8 9 10 11 11 10 8 7 7 8 9 9 10 10 10 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 7 6 7 8 9 10 9 7 5 3 3 2 nan
nan 7 7 6 5 5 7 7 7 8 9 9 7 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 10 10 11 10 9 10 10 11 11 11 10 10 10 9 8 7 7 8 8 8 8 8 7 7 7 7 7 8 7 7 7 8 8 8 9 10 9 8 8 7 7 6 5 6 8 7 7 7 7 7 6 5 4 3 4 5 6 8 8 8 8 6 5 5 5 6 7 8 9 11 10 9 7 6 7 8 9 10 11 11 11 11 10 10 9 9 8 8 8 7 6 6 6 6 6 7 8 8 8 8 8 9 8 8 7 7 7 7 9 10 10 9 7 5 5 nan
nan 7 8 7 6 6 7 8 8 9 9 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 9 10 9 9 8 7 8 8 8 7 8 10 11 10 9 9 9 10 11 11 12 11 10 10 9 9 9 8 8 8 8 8 9 8 7 7 6 7 8 8 7 8 8 7 7 9 10 11 9 8 7 6 6 5 6 6 6 6 6 6 7 6 5 4 4 5 6 7 8 10 11 11 10 9 8 7 7 8 7 8 9 10 9 7 6 5 6 7 9 10 11 12 12 11 11 11 10 10 9 9 8 7 7 7 7 7 6 7 8 8 8 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 9 nan
nan 8 8 7 7 7 7 9 9 9 9 9 8 8 7 6 6 7 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 9 10 10 9 9 8 7 8 8 8 9 10 11 10 9 9 9 9 10 12 12 12 12 10 10 10 10 10 10 9 9 8 9 8 7 6 6 7 7 8 8 7 7 7 7 8 9 10 9 7 8 7 5 5 6 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 11 12 13 13 13 12 11 11 11 11 10 10 10 9 7 5 5 6 7 8 10 11 11 11 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 7 8 7 8 9 11 12 nan
nan 9 8 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 8 8 9 8 9 10 10 9 9 9 7 7 9 10 10 10 10 10 9 8 9 10 11 12 12 12 11 10 11 11 11 11 10 9 8 9 7 6 5 5 6 6 7 7 7 7 7 7 7 8 9 9 7 7 7 6 5 5 6 7 7 8 7 6 6 6 7 8 8 9 11 11 12 12 12 13 13 13 14 14 13 12 11 11 10 9 9 7 6 5 6 6 7 8 8 9 10 10 11 11 11 11 11 12 11 10 10 10 10 9 8 8 7 7 8 8 9 9 10 10 10 9 8 8 8 7 7 7 6 7 9 10 nan
nan 10 9 7 7 8 8 7 7 7 8 8 8 7 7 7 8 8 8 9 8 8 7 7 6 6 6 6 6 7 7 8 8 9 9 8 9 9 10 10 9 9 9 8 8 9 11 10 10 9 7 8 8 9 11 12 12 12 11 10 11 12 12 13 12 11 9 8 8 6 5 5 5 6 6 7 7 7 7 7 7 8 9 9 8 8 8 7 7 6 6 6 8 8 7 6 5 4 5 6 6 6 6 8 10 11 12 12 14 14 13 11 9 9 8 7 7 7 8 7 6 6 6 7 8 8 7 7 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 9 9 10 11 10 9 8 7 7 7 7 7 7 7 7 nan
nan 9 8 7 7 7 8 8 7 7 7 7 7 8 7 7 9 9 9 8 8 8 7 6 6 6 6 6 6 7 7 8 9 10 10 9 9 9 9 10 9 8 8 8 8 9 11 9 9 7 7 7 8 9 10 11 11 11 10 11 12 13 15 16 14 11 8 7 6 4 5 6 6 7 8 8 8 7 6 6 7 9 10 9 9 9 8 8 8 7 7 7 7 7 5 4 4 4 5 6 5 6 7 8 9 10 11 11 12 11 9 4 2 3 5 5 6 6 7 7 7 7 9 10 9 7 6 6 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 11 11 10 9 8 7 7 7 7 7 6 6 nan
nan 8 7 7 7 7 8 7 7 8 8 8 8 8 7 7 8 9 9 9 9 9 8 7 6 6 6 6 7 7 7 8 9 10 9 9 8 9 9 10 9 8 7 8 8 9 10 8 7 6 7 8 9 10 10 10 10 9 10 12 13 15 17 17 13 9 6 4 4 4 5 7 8 9 10 9 8 7 6 6 7 8 9 10 10 9 8 8 8 8 8 7 7 5 3 3 3 5 6 6 6 7 9 8 8 8 8 8 8 6 1 -1 1 3 5 7 8 9 10 10 11 12 13 13 11 7 4 4 5 5 5 6 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 9 9 8 8 7 6 7 7 6 nan
nan 9 7 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 7 7 7 7 8 9 8 7 8 8 9 10 10 10 8 7 8 9 11 13 14 14 11 7 3 3 3 4 5 7 9 10 10 10 9 8 7 7 7 8 8 9 10 9 9 9 8 8 8 8 7 6 4 4 4 5 6 6 7 7 8 8 7 7 7 7 7 6 3 -0 1 4 6 8 9 11 14 15 17 19 21 21 19 14 7 4 4 3 3 3 4 6 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 6 6 6 6 nan
nan 8 7 6 6 7 8 8 9 9 10 9 8 8 9 9 8 7 8 9 10 9 9 9 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 9 8 7 6 6 6 8 9 8 7 8 9 10 10 10 8 6 7 8 9 9 11 10 8 5 2 2 3 5 7 8 9 10 10 9 9 8 7 8 8 9 9 9 10 9 9 8 9 9 8 8 7 6 5 5 5 6 7 8 8 8 7 7 6 6 7 7 8 8 7 3 1 5 7 9 10 10 12 16 21 26 30 33 31 25 15 7 4 3 2 1 1 2 4 6 6 6 7 6 6 6 7 7 8 9 9 9 9 10 10 10 11 11 10 11 11 11 11 10 9 9 8 7 6 6 6 nan
nan 7 6 6 6 7 8 8 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 8 7 8 8 7 7 7 7 7 8 8 8 8 7 8 7 6 6 7 7 8 8 7 8 10 9 8 8 8 7 8 10 10 9 8 4 1 3 5 4 5 8 10 11 11 10 9 8 7 8 8 8 9 10 10 10 10 9 8 8 9 9 9 8 7 7 5 6 7 8 9 9 9 8 7 6 6 6 7 8 9 8 6 4 7 12 12 12 11 11 12 15 21 29 38 41 37 26 13 7 4 2 1 0 0 1 2 3 4 5 5 5 5 6 6 6 7 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 9 10 9 8 6 5 5 nan
nan 7 6 6 6 7 8 8 8 9 9 9 9 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 7 7 7 7 6 6 7 7 7 7 7 8 8 7 7 8 9 9 9 9 9 7 4 1 2 6 9 8 8 10 12 12 11 9 8 7 8 8 9 8 9 10 10 11 10 9 7 8 8 9 9 9 10 9 7 7 9 9 9 8 8 7 7 7 7 7 7 8 7 7 5 7 13 16 15 14 13 13 12 12 18 30 40 40 32 21 13 7 5 3 1 1 -0 -0 0 1 1 3 3 4 4 5 6 6 6 7 7 8 8 8 9 10 10 10 11 11 12 12 11 10 10 10 10 9 8 7 5 nan
nan 7 7 6 6 7 7 8 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 7 8 7 7 7 8 8 8 8 7 7 8 9 9 8 6 4 4 2 3 9 11 11 10 10 10 9 9 7 7 8 9 9 9 9 9 10 11 10 8 7 7 7 7 7 9 10 10 9 8 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 5 7 10 11 12 13 14 13 12 12 20 32 37 30 22 16 12 8 5 3 2 1 0 -0 -0 0 1 1 2 3 4 4 5 5 5 6 7 8 9 9 9 10 10 11 10 11 11 12 12 11 11 11 10 10 10 8 7 nan
nan 6 7 7 7 6 6 7 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 8 7 8 9 8 8 7 6 5 5 5 5 6 4 5 10 12 11 9 8 7 6 6 7 8 10 11 10 9 9 10 10 10 9 7 7 7 7 7 7 8 9 8 6 8 8 8 8 7 8 8 7 8 8 9 8 8 8 9 8 7 8 9 8 8 10 11 10 11 14 20 27 27 19 13 11 11 9 6 3 2 1 0 0 1 1 1 1 2 2 3 3 3 4 4 5 6 7 8 9 10 10 10 11 11 11 11 12 12 12 12 11 10 10 11 10 9 nan
nan 6 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 7 6 6 7 8 8 8 7 7 6 6 8 8 7 8 8 8 9 9 8 7 6 4 4 3 4 5 5 7 11 10 7 5 5 7 8 9 9 10 11 11 9 9 9 10 9 8 7 7 7 7 7 6 6 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 6 6 6 7 6 6 7 9 12 17 17 12 8 7 8 7 5 3 2 1 1 2 3 2 2 2 2 2 2 3 2 2 3 4 5 6 7 9 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 7 6 7 7 7 6 6 6 6 7 7 7 6 8 8 8 7 7 6 5 7 8 8 8 9 9 9 9 9 7 6 6 6 5 4 3 3 6 9 9 7 5 5 6 9 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 8 8 8 8 9 9 9 9 9 9 9 9 9 11 9 8 7 4 4 3 1 2 2 3 5 6 10 14 14 11 8 7 7 6 3 2 1 1 2 3 4 4 3 3 3 3 3 3 2 2 2 2 4 5 6 8 9 9 10 10 10 11 11 10 10 11 11 12 12 12 11 11 11 nan
nan 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 7 6 6 6 6 6 6 6 6 8 7 7 7 7 6 6 9 8 8 9 10 10 9 8 8 7 7 8 7 6 5 5 5 6 6 6 6 7 7 8 9 9 10 9 10 10 10 9 9 8 9 9 9 8 8 8 8 8 8 8 8 6 6 7 8 9 9 9 9 9 10 10 10 9 9 10 10 10 8 6 5 6 8 7 5 6 7 10 14 16 16 15 15 15 13 11 9 7 4 1 2 3 4 5 5 5 5 4 4 4 4 4 4 3 2 1 2 4 5 7 8 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 nan
nan 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 7 7 6 7 8 6 5 6 6 6 6 6 6 7 7 6 6 7 7 7 8 9 8 8 9 10 9 8 8 8 8 9 9 9 9 8 8 8 6 5 4 5 7 7 7 7 7 7 8 8 7 8 8 8 9 9 10 9 8 9 9 9 9 9 9 9 8 7 8 7 7 8 8 9 10 10 10 9 9 9 10 9 8 7 7 7 10 10 11 13 15 16 16 17 18 18 16 17 19 19 14 10 9 6 4 3 4 5 5 6 5 5 5 5 5 5 5 4 3 2 2 1 2 3 5 6 8 8 9 9 9 10 10 10 10 10 9 10 11 12 12 13 nan
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nan 8 8 8 8 7 6 6 5 5 6 5 5 4 5 5 6 6 6 7 8 8 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 8 8 8 8 7 8 8 8 7 8 9 9 9 9 9 9 9 9 10 11 11 12 12 10 8 6 6 7 8 8 7 8 7 7 7 8 9 10 10 10 10 10 10 9 8 7 8 8 9 9 8 8 9 9 9 8 9 8 9 10 9 9 8 9 9 8 8 10 11 10 10 10 10 8 6 4 4 6 10 14 16 14 11 8 8 6 5 5 6 7 8 8 8 8 7 7 7 6 6 6 5 4 3 3 2 2 4 5 6 7 7 8 8 9 9 10 11 11 12 12 11 9 8 nan
nan 8 8 8 7 7 6 6 6 6 6 6 5 5 6 5 6 6 7 7 8 7 7 6 5 5 6 7 6 6 6 6 6 6 6 6 6 7 8 8 8 7 8 8 7 7 8 8 8 8 7 7 8 8 8 10 9 9 9 9 10 12 12 12 12 11 9 7 5 6 9 8 7 7 7 7 7 8 10 10 9 9 9 9 9 8 7 7 8 8 9 9 8 9 9 8 9 9 9 9 9 9 9 9 10 11 9 7 8 9 9 8 9 9 5 -1 -5 -7 -3 3 8 11 13 13 12 10 7 5 5 6 8 10 11 12 12 11 10 9 9 8 7 6 6 6 5 4 3 3 3 4 6 7 8 8 8 9 9 10 10 11 11 12 12 10 10 nan
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nan 9 9 9 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 11 14 13 8 5 4 5 6 6 6 6 6 7 11 15 17 16 13 11 11 10 10 10 9 8 8 8 9 10 10 11 11 11 12 11 10 9 9 7 6 7 8 9 11 12 8 6 9 13 12 10 10 11 11 11 12 14 14 13 14 14 13 13 13 14 15 15 12 9 8 8 7 8 8 8 8 8 7 7 6 5 6 6 4 1 2 2 2 1 4 8 11 12 12 12 13 14 13 12 12 13 11 11 13 15 16 15 15 15 16 16 15 14 14 13 12 9 8 9 7 6 6 8 11 11 11 10 9 9 9 10 11 10 9 8 10 13 14 16 16 18 20 21 21 21 20 nan
nan 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 11 7 5 4 4 6 5 6 6 6 8 15 20 21 16 12 12 11 10 10 10 9 8 8 8 9 10 11 11 11 12 12 10 10 10 8 7 7 7 8 7 8 0 -4 -1 5 9 11 11 11 12 13 14 14 14 13 13 14 13 13 12 13 14 14 13 11 10 10 9 8 7 6 4 3 3 3 -1 -2 -0 1 -1 -3 -0 2 2 0 -1 -1 4 11 13 14 14 14 14 14 14 13 12 11 12 13 13 12 10 10 12 12 12 11 12 13 13 13 10 9 8 7 7 7 8 11 11 10 9 8 9 10 12 11 11 10 10 11 10 11 12 13 15 16 17 18 19 20 nan
nan 8 8 9 9 9 8 8 10 10 10 9 9 9 9 8 8 9 11 12 12 10 6 4 4 4 5 5 5 5 6 10 16 18 17 13 11 12 12 11 9 9 9 9 9 9 10 11 12 12 12 11 10 10 10 10 9 8 8 9 8 8 3 -4 -5 -0 3 6 10 14 14 14 15 15 15 13 13 14 14 13 12 11 12 12 12 13 13 13 14 12 9 6 3 3 3 3 2 1 3 4 4 4 6 8 9 9 9 8 5 2 2 3 5 7 10 13 13 12 11 11 12 14 13 11 9 8 8 9 10 10 10 11 14 16 15 12 11 9 9 9 8 9 9 10 9 9 9 10 11 12 12 11 11 11 11 10 9 10 12 14 15 14 14 16 17 nan
nan 8 8 8 8 9 9 9 11 10 10 9 9 8 8 8 8 9 11 12 13 12 8 4 3 4 4 5 4 4 7 12 15 15 13 12 11 12 12 10 8 9 9 9 9 9 11 13 12 11 10 10 11 12 13 12 11 10 10 10 9 10 3 -2 -2 1 4 6 11 16 16 15 15 15 14 13 13 13 12 12 11 12 11 11 12 14 15 14 13 11 8 6 6 7 8 10 11 14 15 15 15 15 16 17 16 16 16 18 16 8 2 -2 -0 5 11 12 11 10 10 11 13 13 11 9 9 9 10 8 10 10 9 10 12 14 14 13 12 10 11 10 9 9 9 10 11 11 11 11 12 12 12 11 11 11 11 11 11 12 14 15 14 13 13 14 14 nan
nan 8 9 9 8 9 10 10 9 9 9 9 9 8 8 9 9 9 10 12 14 14 12 6 2 3 3 4 4 4 8 14 15 15 13 12 13 12 10 8 8 9 9 9 9 10 11 12 11 10 9 11 16 19 18 15 15 15 14 14 13 10 5 0 -0 2 5 8 12 16 16 14 14 14 13 13 12 12 13 13 13 13 12 11 11 12 12 12 11 9 7 9 13 15 16 16 18 19 20 21 21 20 19 19 19 20 22 23 22 20 16 13 12 13 13 11 10 8 9 12 14 14 11 9 9 10 10 9 9 9 8 10 11 11 12 13 13 13 12 10 10 11 11 12 13 13 12 12 13 13 13 13 13 13 12 12 12 13 14 14 14 14 15 15 14 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 12 14 16 14 8 2 2 3 4 4 4 7 12 14 13 12 13 13 11 9 7 8 9 9 10 10 10 11 11 10 10 10 14 21 25 22 17 17 18 18 18 15 11 7 3 1 4 6 8 12 15 15 14 14 14 13 12 12 13 15 16 14 13 11 10 9 10 10 10 9 7 10 16 19 20 20 20 22 23 24 23 21 20 21 22 25 28 29 28 27 26 26 25 20 16 13 10 8 7 9 13 14 13 11 10 9 8 7 7 7 8 10 12 13 12 11 12 14 15 14 11 11 12 12 12 13 14 14 13 15 15 13 13 12 12 12 11 11 11 12 13 13 13 14 15 15 nan
nan 8 8 8 8 9 9 8 9 8 8 8 8 8 8 8 8 9 9 12 14 16 16 11 4 2 3 4 3 3 5 9 13 13 12 13 12 10 8 8 9 9 9 10 10 9 9 11 12 11 10 14 20 24 22 18 16 16 17 17 15 10 6 2 2 5 6 8 11 14 15 14 14 13 12 12 14 16 18 17 13 11 9 7 7 9 10 10 10 8 11 15 17 18 20 22 23 24 23 21 20 21 22 24 25 26 26 23 22 21 22 22 18 15 11 8 7 9 12 13 12 11 10 9 9 8 7 7 9 12 15 15 13 11 10 12 15 15 13 12 11 11 10 10 12 13 13 12 13 14 12 12 11 9 10 9 9 10 10 10 10 10 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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