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 6 7 7 7 7 7 7 8 7 7 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 11 11 11 10 10 9 8 8 9 9 9 8 7 6 6 9 9 9 10 13 16 19 18 15 11 9 9 9 8 7 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 5 5 6 7 7 7 7 6 6 6 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 nan
nan 6 7 7 7 7 7 8 9 8 7 8 9 8 8 7 8 8 8 7 6 6 7 8 8 7 7 6 6 7 7 7 6 7 7 8 8 9 9 9 8 9 9 8 8 8 7 7 8 8 8 8 8 7 8 9 10 11 11 10 10 10 9 9 9 8 8 8 7 7 6 6 7 8 8 9 11 13 15 17 16 12 10 8 8 9 9 8 8 8 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 7 6 6 6 6 7 8 8 9 9 9 8 8 7 6 7 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 7 8 8 8 7 9 10 8 8 8 8 8 8 8 9 8 7 7 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 8 8 8 8 8 8 9 10 10 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 8 8 6 8 12 15 16 14 11 9 8 9 10 10 10 9 8 9 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 7 8 8 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 7 6 6 7 7 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 7 7 8 8 8 10 9 8 8 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 9 8 7 8 8 8 8 8 7 8 9 8 8 9 8 8 7 8 9 9 8 8 8 8 9 9 9 8 8 7 7 8 7 7 6 6 8 9 8 6 7 8 11 15 16 14 11 9 9 9 10 11 10 10 9 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 6 6 7 7 8 8 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 6 7 7 8 9 9 10 9 7 7 7 8 8 7 7 8 7 6 5 6 6 6 7 7 7 8 8 7 7 8 7 8 8 8 8 8 10 8 7 8 8 8 8 8 8 8 8 7 8 8 7 7 8 10 10 8 8 8 7 8 9 8 7 7 8 8 8 7 6 7 7 8 9 11 10 9 7 6 8 13 17 18 15 11 9 9 10 11 11 10 9 9 8 9 10 10 11 11 11 11 11 10 10 10 10 9 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 9 9 9 9 7 7 7 8 8 7 7 8 8 7 6 5 5 5 6 6 7 8 9 8 8 8 8 8 9 9 8 9 9 8 8 8 8 7 8 8 7 8 7 7 8 7 7 8 9 10 10 9 8 7 8 8 8 7 7 8 9 8 7 6 7 8 8 9 9 10 10 9 8 8 9 12 16 20 20 16 12 10 10 10 10 11 10 9 9 9 9 10 11 12 12 11 11 11 10 10 10 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 8 7 7 nan
nan 6 7 7 8 9 9 9 8 7 7 8 8 7 7 8 9 8 6 6 5 5 5 6 8 10 10 10 10 9 8 8 8 9 9 10 10 10 9 8 8 8 8 9 9 8 8 8 7 8 8 8 8 7 8 9 8 8 9 9 8 8 8 8 9 9 8 6 7 9 9 8 8 8 7 8 9 10 10 11 12 15 20 24 23 18 14 11 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 8 8 8 7 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 6 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 8 7 8 nan
nan 6 7 8 9 10 10 9 8 8 8 8 8 7 8 9 8 6 5 5 6 7 8 9 11 11 11 10 9 8 7 7 8 9 10 10 10 10 10 8 8 9 9 10 10 10 9 9 9 9 9 9 7 6 9 9 9 10 10 10 9 8 8 8 8 8 7 8 10 10 9 8 8 7 7 8 9 10 12 13 13 13 17 23 26 25 20 15 11 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 9 9 8 8 8 8 7 6 6 6 5 5 6 6 7 7 8 7 7 7 7 6 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 7 5 4 6 8 9 10 11 11 10 10 9 7 7 6 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 9 9 9 10 10 9 8 8 8 7 7 8 10 10 9 8 9 8 6 8 8 9 10 11 12 13 12 12 16 22 27 27 21 14 11 9 8 8 8 9 9 10 11 12 12 12 12 12 11 11 10 9 9 9 8 7 7 7 7 7 6 5 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 10 11 10 8 8 9 9 8 7 8 8 8 7 5 6 8 9 10 10 9 9 9 8 8 7 7 7 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 9 7 8 8 9 9 9 9 10 11 11 9 11 16 23 27 26 19 13 10 8 8 8 8 9 10 11 12 12 12 12 12 11 11 10 10 10 9 8 8 7 7 7 7 7 6 5 5 5 6 7 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 8 7 7 7 7 7 7 6 nan
nan 9 10 9 10 10 9 8 9 9 8 8 7 8 9 7 5 5 7 9 11 10 9 8 9 8 8 8 7 7 8 9 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 7 8 7 8 8 8 8 7 6 6 7 7 6 6 8 8 7 8 9 9 9 9 8 8 8 8 9 10 13 15 19 23 25 19 12 9 7 8 8 8 9 10 11 12 12 12 12 12 11 10 10 10 9 9 8 8 7 7 7 6 6 5 5 5 5 6 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 5 5 5 6 6 7 7 7 7 8 8 7 7 7 7 7 6 nan
nan 9 10 10 10 10 9 9 9 9 8 7 7 9 8 5 3 6 9 11 11 9 8 8 9 8 9 8 8 7 8 9 8 8 8 9 9 9 9 9 8 8 8 8 9 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 9 8 6 6 7 8 8 8 10 11 9 8 9 9 9 9 8 7 6 6 7 9 10 10 9 9 19 29 25 18 13 9 7 6 7 8 10 11 11 12 13 13 12 11 11 10 10 10 9 9 9 9 8 7 7 6 6 5 5 5 6 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 5 4 5 5 5 5 6 7 7 7 7 7 7 7 7 8 7 7 7 nan
nan 9 10 11 11 10 9 9 9 9 8 7 8 8 7 3 4 9 11 11 10 8 8 8 9 10 9 8 7 7 8 8 8 8 9 10 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 8 8 8 9 9 8 9 8 7 8 9 8 8 10 10 9 8 7 7 9 9 9 6 6 6 6 6 7 8 8 8 8 13 19 24 25 22 16 9 6 6 7 9 10 10 12 13 12 12 11 11 10 10 10 9 9 9 9 9 8 8 7 6 6 5 5 5 6 7 8 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 7 6 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 7 7 7 nan
nan 8 9 12 12 10 9 9 9 8 8 8 7 7 5 4 7 10 11 10 9 8 8 9 9 10 9 8 7 7 8 9 8 8 9 9 8 8 8 7 6 7 8 8 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 8 9 9 9 9 10 8 8 8 7 6 5 6 7 8 7 7 6 7 7 5 5 6 7 6 6 7 8 10 15 23 27 25 16 9 6 6 7 9 9 10 11 11 11 11 10 10 11 10 10 10 10 9 9 9 8 8 7 7 6 6 6 6 7 8 9 9 10 9 9 9 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 6 6 6 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 nan
nan 8 9 11 12 10 8 9 8 8 8 7 7 6 4 6 9 10 9 9 9 9 9 8 9 9 8 7 7 7 8 9 8 7 8 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 10 10 10 7 5 4 5 7 8 8 7 6 7 8 8 7 7 8 8 6 6 6 7 8 9 13 20 26 24 18 12 7 6 7 8 9 10 11 10 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 7 7 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 5 6 6 6 7 8 8 8 8 8 7 8 7 7 nan
nan 8 9 12 12 9 8 9 8 7 7 7 7 6 6 7 8 8 9 9 8 8 8 8 9 8 7 7 7 7 8 8 7 6 7 8 9 8 7 7 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 8 9 9 10 9 9 10 11 11 11 12 11 9 7 7 7 8 8 8 8 8 10 11 10 8 8 10 8 8 7 7 7 7 8 8 12 19 24 24 19 13 8 7 7 8 9 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 11 10 10 9 8 8 8 7 7 7 8 7 8 8 8 8 8 8 7 7 6 6 6 5 6 6 7 7 8 8 8 8 7 7 7 7 nan
nan 8 9 11 11 9 8 8 8 7 7 7 6 6 6 6 7 8 10 9 8 7 7 8 8 7 7 7 7 7 8 8 7 7 8 8 8 8 9 8 8 8 8 8 8 7 7 8 9 9 9 9 8 9 9 8 9 9 9 10 9 9 9 10 10 11 11 10 9 9 9 9 8 7 7 9 11 11 12 11 9 9 9 9 9 9 9 9 10 9 10 12 14 18 23 24 20 13 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 7 7 8 9 9 10 10 11 10 10 9 8 8 8 8 7 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 7 8 7 8 8 7 7 7 7 nan
nan 8 9 11 10 9 8 8 7 7 7 6 6 6 6 7 8 9 10 9 8 7 8 8 8 7 7 8 8 8 8 8 7 7 7 8 7 8 9 8 7 7 7 8 8 7 7 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 11 10 10 9 9 10 10 10 8 8 10 10 10 9 10 10 9 10 9 9 9 10 11 12 12 10 11 13 13 14 17 21 24 21 17 13 11 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 9 9 10 9 8 8 7 7 7 8 9 9 10 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 nan
nan 7 8 10 10 9 8 8 7 7 7 6 8 7 6 7 9 9 9 8 7 7 8 9 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 8 7 7 8 8 9 10 9 9 9 10 10 10 10 10 10 9 9 8 9 10 10 10 10 11 11 9 8 8 8 8 8 9 8 9 10 11 13 15 14 12 13 13 14 14 15 15 19 24 26 24 20 14 11 9 10 10 10 11 10 10 11 11 11 10 10 10 9 9 9 9 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 7 nan
nan 7 8 9 10 9 8 8 7 7 6 7 9 7 5 8 10 10 8 7 7 7 8 9 8 8 8 7 7 6 6 7 7 7 7 8 7 8 7 7 8 7 7 8 8 8 8 8 7 7 7 8 9 9 10 10 9 9 10 9 8 9 11 10 9 9 8 9 9 10 10 11 12 12 11 9 8 8 8 7 8 8 8 9 11 13 16 14 12 14 15 14 13 14 15 15 14 17 25 31 31 25 17 12 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 7 7 7 nan
nan 7 8 8 8 8 8 8 7 7 6 6 6 5 6 8 9 9 8 7 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 8 9 7 7 8 9 10 10 10 10 9 9 9 8 8 8 9 10 9 8 8 9 10 10 10 11 11 12 13 12 11 11 11 9 9 10 10 9 10 12 15 14 8 7 10 12 12 11 13 13 12 12 13 17 27 33 33 30 23 15 12 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 nan
nan 7 8 8 9 9 8 8 7 7 6 5 5 6 7 8 9 8 8 8 8 8 7 8 8 7 5 4 6 8 9 9 9 9 9 8 8 8 9 10 10 9 8 8 8 8 8 7 8 10 10 10 9 9 9 9 9 9 9 9 10 10 9 8 9 10 11 11 10 11 13 13 13 13 12 13 13 13 11 11 12 12 12 13 15 14 8 4 5 6 7 8 10 12 11 9 11 12 14 19 24 30 34 34 28 22 16 13 10 9 10 10 9 9 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 6 6 7 8 8 8 9 8 8 8 nan
nan 8 8 9 9 9 9 8 7 7 6 5 6 7 8 8 8 9 8 7 8 7 7 7 7 6 4 5 7 8 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 8 8 8 9 11 11 9 9 8 8 9 9 10 11 11 11 10 9 9 10 11 11 10 11 13 14 13 12 11 11 12 13 12 12 12 12 13 15 16 14 7 4 5 7 7 8 9 11 11 11 11 11 11 13 14 15 19 25 31 34 31 27 21 17 14 12 10 9 9 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 8 8 7 7 7 7 8 7 7 7 8 8 8 8 8 8 nan
nan 7 8 9 9 8 8 8 7 7 6 6 7 7 7 7 8 9 8 7 8 7 6 6 6 6 6 7 8 8 8 8 8 9 9 7 7 8 9 9 8 8 8 6 6 8 9 9 10 10 9 9 8 9 9 10 11 12 12 11 11 10 9 9 10 10 10 11 13 12 11 11 10 9 9 8 8 8 10 11 11 13 15 15 10 4 5 7 8 9 9 10 11 11 12 11 9 10 10 11 12 13 14 18 25 29 30 30 29 26 22 18 14 12 13 12 11 10 10 11 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 9 9 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 nan
nan 6 7 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 6 7 7 8 8 8 8 9 8 8 10 9 7 8 9 9 9 9 7 6 5 6 8 10 10 10 8 6 7 8 9 10 11 11 12 11 10 11 9 9 10 11 10 11 12 12 10 8 8 7 5 5 6 6 7 7 8 10 12 14 13 10 8 8 9 9 9 8 9 10 12 11 8 6 7 6 7 7 6 8 11 14 19 24 27 32 35 35 31 26 21 18 16 14 13 13 13 12 12 11 11 10 9 9 9 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 6 7 8 8 8 7 7 7 6 6 7 7 8 7 7 8 8 8 8 7 6 6 7 8 8 8 8 8 8 9 8 8 10 10 8 9 9 9 9 8 5 5 5 5 8 11 10 7 4 4 6 8 9 10 10 11 12 10 10 11 10 11 12 12 11 10 10 9 8 8 7 5 4 5 7 7 7 6 6 8 11 13 12 11 11 11 10 8 7 6 7 9 9 6 4 4 3 2 2 1 3 5 8 9 12 15 18 21 25 29 30 30 30 27 24 20 17 15 15 15 14 14 13 12 11 10 9 9 9 9 9 9 9 8 9 8 8 9 9 9 10 10 10 10 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 7 8 9 9 9 8 7 6 6 7 8 8 8 8 8 7 8 8 8 7 7 8 8 9 8 9 9 9 9 9 8 9 9 8 8 9 8 9 9 7 6 6 6 6 7 9 7 4 4 5 7 8 9 9 9 9 10 9 10 11 12 14 13 11 9 9 8 7 7 7 7 6 6 7 8 8 7 6 6 8 8 9 11 11 10 9 9 8 6 5 7 6 4 2 1 1 1 1 1 1 4 5 6 6 8 10 11 12 12 10 11 18 26 30 31 29 24 19 17 16 16 16 15 14 13 11 10 9 9 8 8 8 8 8 8 8 8 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 9 8 7 7 6 6 8 8 8 8 9 8 7 8 8 8 7 8 8 9 9 8 9 9 9 8 9 9 9 9 8 7 7 8 9 9 8 7 7 7 6 7 8 7 5 5 8 10 10 10 10 8 7 7 8 9 11 11 12 10 8 7 7 8 8 8 7 8 7 8 9 9 8 7 7 9 9 8 8 8 6 5 6 6 5 5 5 5 4 1 -0 1 2 3 3 3 4 5 5 4 6 7 8 8 8 6 3 2 6 15 24 31 34 32 27 22 18 17 17 17 16 15 13 11 9 8 8 7 7 8 8 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 9 7 6 6 6 7 7 7 9 9 8 7 7 8 8 8 8 8 9 9 8 7 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 7 6 6 7 7 7 6 7 10 12 11 10 8 6 6 8 9 9 9 9 7 5 5 5 6 8 10 9 9 9 8 9 9 8 8 8 8 10 10 9 7 4 2 3 5 5 4 4 4 4 4 2 3 5 6 7 7 6 6 5 4 5 7 9 9 8 7 4 2 4 7 9 14 22 29 36 37 31 24 20 18 17 16 15 14 12 11 9 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 8 7 5 5 6 7 8 8 8 8 7 7 7 7 8 9 8 8 9 8 7 7 8 8 8 9 9 8 9 8 9 9 8 7 7 7 6 7 6 5 6 7 7 7 6 6 9 10 9 8 7 7 8 10 10 9 8 5 1 3 6 7 8 9 10 11 11 10 9 8 8 8 7 7 8 9 10 10 9 6 5 6 7 7 5 4 4 4 3 3 5 8 9 9 8 7 6 6 5 5 8 10 10 9 7 5 6 10 11 11 10 11 17 28 39 40 32 23 20 17 15 15 15 14 13 11 9 7 6 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 7 6 6 6 7 8 8 8 7 7 7 7 8 7 8 9 9 9 8 7 7 9 9 8 8 8 8 7 8 9 10 9 8 8 7 6 6 6 6 6 7 7 7 7 6 6 7 7 6 7 9 10 10 10 9 6 2 -1 1 7 10 9 9 10 11 12 12 10 8 8 8 8 7 7 8 8 10 12 11 8 7 8 8 7 6 7 8 6 3 2 5 7 8 6 5 5 7 7 6 7 8 8 8 7 7 7 10 11 11 11 10 9 8 12 22 33 35 28 23 20 18 17 15 15 14 13 12 10 7 5 4 3 4 6 8 10 11 12 11 10 10 10 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 8 nan
nan 9 8 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 8 9 10 9 8 8 8 8 7 7 8 8 8 8 9 10 9 8 7 7 7 6 7 7 6 7 8 7 8 8 7 7 7 6 6 6 7 9 9 8 6 4 3 1 3 9 12 11 9 9 10 10 8 7 7 7 9 9 8 9 9 10 12 12 10 8 8 8 7 5 5 8 10 7 4 5 6 6 6 5 5 6 7 7 8 8 6 5 5 6 6 8 8 9 9 10 10 10 8 5 4 10 20 27 27 26 24 22 19 17 15 14 14 13 11 8 5 3 2 4 6 8 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 9 7 7 8 9 8 7 7 7 6 6 6 7 7 7 8 8 9 10 10 9 8 7 7 7 7 7 8 9 9 9 9 10 9 8 8 7 6 7 8 7 7 8 8 8 9 9 9 8 7 7 6 6 5 4 4 4 5 6 6 5 5 11 12 10 8 7 7 6 5 6 8 9 9 9 9 9 10 11 11 9 9 8 9 9 7 4 5 7 8 7 7 8 7 6 6 6 6 5 6 7 8 8 6 4 5 6 7 8 9 8 9 9 9 9 8 4 -2 -3 5 16 24 29 29 27 24 20 17 16 16 15 13 11 8 6 4 3 4 6 8 10 12 12 12 12 11 10 9 8 8 8 8 8 8 9 8 8 8 7 7 8 8 7 7 nan
nan 8 7 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 9 8 8 8 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 7 6 5 7 9 9 9 9 9 8 8 7 4 3 3 3 3 4 5 5 8 12 10 7 5 6 7 8 8 8 10 11 9 8 8 8 9 9 8 8 8 8 9 8 7 6 6 6 4 5 8 9 8 7 6 6 6 6 6 7 9 9 8 8 7 7 7 6 4 4 4 4 5 5 2 -1 -2 -1 1 9 18 26 30 30 28 25 21 19 18 17 15 13 11 9 7 6 4 4 6 8 11 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 8 8 9 9 7 7 6 5 7 8 8 8 8 8 8 7 8 7 7 7 7 8 7 7 6 7 8 9 9 9 8 9 8 9 8 9 10 10 9 9 9 8 4 5 8 8 9 10 10 9 9 9 7 5 5 5 4 2 1 2 5 10 10 7 5 6 7 9 11 11 11 11 10 10 9 7 8 8 8 8 8 8 9 9 10 9 8 7 5 3 4 7 10 9 7 8 9 9 9 9 9 9 10 11 12 9 7 5 1 -1 -2 -6 -4 -2 -1 -2 -2 2 5 6 9 14 21 27 29 29 28 25 22 20 19 16 14 13 12 11 9 8 7 6 6 7 10 12 13 13 13 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 7 8 8 7 8 8 8 7 6 7 8 10 9 8 9 9 8 8 8 8 8 10 9 8 9 10 8 8 8 8 8 9 11 11 9 9 8 8 8 8 6 4 2 3 3 5 6 6 6 8 8 8 10 10 10 9 9 9 9 8 7 8 8 9 10 10 10 10 11 10 10 9 8 6 5 7 8 8 7 8 10 11 12 13 12 11 11 11 12 12 9 6 3 5 7 3 1 3 4 4 5 7 8 8 9 10 11 14 20 24 27 28 27 25 22 20 18 17 15 14 13 12 11 10 8 7 7 7 9 11 13 13 13 12 10 9 8 7 8 8 8 8 8 7 7 7 7 7 7 nan
nan 8 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 8 10 10 8 7 8 8 7 8 8 8 9 10 9 8 9 9 8 10 9 7 7 9 9 9 8 8 9 9 9 9 9 8 7 7 6 5 3 2 4 7 7 7 7 7 7 7 6 6 7 7 7 8 9 10 10 10 11 11 11 11 11 11 10 7 7 7 7 6 5 8 9 10 12 14 13 11 11 11 10 9 7 7 6 9 10 11 14 13 13 13 11 10 8 7 7 9 8 8 11 17 22 26 28 27 24 22 20 19 18 16 14 13 13 13 11 10 8 7 6 8 10 12 13 13 12 11 10 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 7 8 8 8 9 9 9 9 8 9 8 8 8 9 10 11 10 8 8 8 8 8 6 6 7 7 7 8 8 9 10 11 10 10 10 9 9 8 8 8 7 7 8 7 7 7 7 9 9 9 9 11 10 10 11 10 9 6 5 5 6 7 7 6 5 5 6 6 7 8 8 7 7 8 9 10 10 10 10 10 11 12 13 11 11 10 9 8 7 7 7 9 9 10 11 11 12 11 10 8 6 7 8 9 7 7 9 10 11 9 7 6 5 5 4 5 6 5 3 6 10 15 21 24 26 26 24 22 20 20 18 16 15 14 13 13 12 11 9 8 7 7 9 11 13 13 13 12 11 9 8 8 7 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 7 8 9 9 8 8 8 8 9 8 8 8 9 10 10 9 8 8 7 7 6 6 6 7 7 7 8 9 10 10 10 9 8 9 10 9 8 8 8 9 9 8 7 6 6 7 9 9 9 9 10 11 11 11 11 11 10 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 10 10 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 9 10 10 9 7 5 7 9 11 11 11 10 8 5 3 1 2 3 4 5 5 4 2 1 2 5 9 14 17 20 23 24 22 21 20 19 17 16 15 14 14 13 12 11 11 9 8 7 8 10 12 13 14 13 12 10 9 9 8 8 7 7 7 7 7 nan
nan 9 7 7 8 8 8 9 9 9 7 7 8 9 9 9 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 7 8 9 9 8 8 7 7 9 9 9 8 8 9 9 8 8 8 7 6 7 8 9 10 10 10 9 9 9 10 10 11 12 12 11 8 6 5 7 9 8 7 7 6 6 7 8 11 11 10 10 10 10 10 10 9 8 9 10 11 11 10 10 11 11 11 9 8 8 8 7 7 8 8 7 7 8 10 12 14 12 9 6 4 3 3 4 4 5 6 6 4 3 2 3 4 8 11 14 17 19 20 19 18 17 17 16 15 15 15 14 13 13 13 11 10 8 8 9 10 11 13 14 13 12 11 10 9 9 9 8 7 7 7 nan
nan 9 9 8 8 9 9 8 8 8 8 8 9 9 10 9 8 9 10 12 11 8 6 6 6 6 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 6 7 8 9 10 9 9 10 10 11 12 12 12 12 10 9 7 5 7 9 8 8 7 6 6 7 8 10 11 11 10 9 9 9 8 8 8 9 11 11 11 11 11 11 10 10 10 9 9 8 7 7 9 10 10 9 7 10 13 14 12 9 7 7 7 6 4 4 5 7 8 8 7 4 2 3 5 7 10 13 14 15 17 16 15 15 15 14 14 14 14 13 14 13 13 12 11 10 9 9 10 11 13 13 13 12 11 10 9 9 9 9 8 8 nan
nan 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 11 13 10 6 5 6 7 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 7 7 7 8 7 6 5 7 7 7 7 8 10 11 11 12 12 11 10 9 10 11 11 11 10 7 5 5 5 7 7 7 9 9 9 8 8 8 8 7 7 8 9 9 11 12 12 12 12 11 10 10 11 10 9 8 8 8 9 10 11 9 9 10 11 12 12 12 10 10 9 7 4 4 6 7 9 10 9 6 2 1 2 5 8 11 12 13 14 14 15 15 13 13 13 12 12 13 13 14 13 13 13 13 11 9 9 10 12 13 13 13 12 11 10 10 10 9 9 8 nan
nan 10 11 10 11 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 8 5 6 8 9 10 10 10 10 10 9 9 9 10 10 10 10 9 10 10 9 8 8 7 7 7 6 7 8 7 6 6 8 8 7 7 7 8 9 9 10 9 7 7 7 8 9 9 10 10 7 6 6 6 8 8 9 10 8 7 6 7 8 6 6 7 8 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 9 9 8 6 4 8 13 14 12 10 8 5 4 5 5 6 7 8 8 6 5 4 4 5 7 11 13 14 15 15 16 14 13 12 12 12 12 13 13 13 14 14 14 14 13 11 11 10 10 11 13 13 13 12 11 10 11 10 10 9 nan
nan 9 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 8 6 6 9 11 11 10 10 9 9 9 9 9 10 10 11 11 10 10 10 9 7 6 7 7 7 6 6 6 7 7 7 8 9 9 9 8 8 7 7 7 6 6 5 6 7 8 7 6 6 6 7 9 9 9 9 9 9 8 7 8 11 12 9 8 8 9 9 10 10 10 9 10 9 9 10 10 10 9 9 9 9 8 7 6 6 7 9 9 6 5 9 13 13 12 9 6 4 5 5 5 4 4 6 7 7 7 7 7 7 9 12 16 18 18 18 16 14 13 12 11 12 12 13 13 13 14 14 14 14 14 13 12 11 11 11 12 13 13 13 13 12 11 11 10 10 nan
nan 9 9 9 8 8 8 9 9 10 10 9 9 10 9 9 10 9 9 7 7 9 10 9 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 9 8 9 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 6 6 7 8 8 7 8 7 7 8 9 8 8 8 9 11 11 12 13 15 14 9 9 10 10 9 8 9 9 9 8 8 8 9 9 8 8 8 8 8 9 8 7 7 8 9 11 13 13 13 12 12 11 10 9 8 7 6 5 4 4 5 6 6 7 9 9 10 13 15 18 20 20 18 15 13 12 11 11 11 11 12 13 14 13 14 14 13 14 14 14 13 12 12 12 12 13 13 13 13 12 12 11 11 nan
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nan 12 12 12 11 9 9 9 9 9 8 9 11 11 12 11 10 9 9 9 11 14 15 13 11 8 7 7 8 8 9 9 10 10 10 13 17 19 17 12 6 3 3 4 6 8 8 9 10 9 9 11 12 11 11 11 12 11 10 10 10 11 11 13 14 13 9 8 11 12 12 12 11 10 10 11 11 10 10 11 11 11 12 13 13 14 13 10 7 5 3 4 4 5 5 5 6 7 8 8 9 11 11 9 8 8 7 6 4 3 3 5 6 8 9 11 13 15 17 18 18 16 16 15 13 11 12 12 12 13 14 13 13 13 10 6 6 8 10 10 10 11 11 9 9 8 10 12 14 14 12 12 14 14 11 7 8 12 15 20 24 26 27 27 25 nan
nan 10 10 9 9 9 10 11 10 9 9 10 11 12 12 11 10 9 9 9 11 15 16 14 12 9 9 9 9 9 9 10 10 12 15 18 18 17 13 8 4 3 4 5 7 8 8 9 9 8 9 12 12 10 10 11 11 10 11 10 11 11 13 16 16 15 12 10 9 9 10 11 11 10 10 10 10 10 11 12 12 11 11 12 12 13 13 11 9 5 1 -0 -0 0 0 -0 0 2 2 2 3 3 4 4 3 2 -0 -1 -0 1 4 6 8 9 11 12 13 13 14 15 15 16 15 13 10 9 9 10 11 11 11 12 13 13 11 8 7 8 10 11 13 13 13 11 9 8 9 11 13 14 13 13 13 13 11 7 4 6 11 14 18 21 23 24 24 nan
nan 10 9 9 9 11 11 11 10 10 11 12 13 13 13 13 11 10 10 9 11 15 17 17 15 11 10 10 10 10 10 9 9 11 15 15 14 13 10 7 4 4 5 6 8 8 9 10 11 11 11 11 10 9 10 10 10 9 10 11 12 13 15 17 17 16 15 13 11 9 9 11 11 9 9 9 9 10 10 10 9 9 9 9 10 14 16 16 16 13 11 7 4 3 3 3 3 3 3 3 2 2 1 2 1 0 -1 -0 0 -1 1 4 6 7 8 10 11 10 10 10 11 12 12 10 10 9 9 9 10 9 9 10 12 13 13 11 9 10 11 13 14 14 13 11 9 8 8 10 12 13 14 15 15 14 12 10 5 3 6 8 12 16 20 22 23 nan
nan 10 10 10 11 11 10 9 9 9 11 12 13 14 14 13 12 11 11 10 12 16 19 19 16 12 10 10 9 10 11 11 10 12 13 12 13 12 9 5 4 5 7 8 9 9 11 12 12 11 10 9 8 7 6 7 8 8 10 11 13 15 17 18 18 17 16 15 13 9 9 11 10 9 8 8 8 9 7 7 7 8 9 8 9 14 19 22 22 21 20 18 15 13 13 13 14 14 12 11 9 9 8 7 7 6 5 6 4 3 2 2 2 3 5 8 11 12 10 9 8 8 8 7 8 9 9 8 9 8 8 8 9 11 12 11 11 11 12 12 13 13 13 12 11 11 10 10 11 12 14 16 17 17 14 12 8 6 5 5 9 14 17 19 21 nan
nan 10 10 11 11 12 11 10 9 10 12 13 13 13 12 11 12 12 12 11 13 16 20 21 16 11 10 10 10 11 12 13 13 14 14 15 15 12 7 4 3 6 8 9 9 9 11 11 11 9 7 7 5 3 3 6 7 9 10 12 13 13 15 17 16 15 14 13 12 8 9 11 10 9 8 8 9 8 8 7 8 9 9 10 11 12 15 20 22 23 23 20 20 19 19 19 20 20 20 19 19 18 18 18 18 16 16 15 13 11 9 6 1 1 4 8 9 9 8 8 8 8 6 6 6 7 7 7 8 7 7 8 9 9 9 9 9 9 10 9 11 14 14 14 13 13 13 12 11 12 16 18 19 19 16 12 9 9 7 6 6 7 9 12 17 nan
nan 10 11 12 13 13 12 10 10 11 12 13 12 12 11 11 12 11 11 12 13 16 20 20 15 12 11 11 12 13 13 12 12 14 16 17 14 10 4 2 5 7 9 10 10 10 11 11 10 8 6 6 5 4 7 10 11 11 11 11 11 12 13 13 12 12 13 13 11 9 9 9 9 8 8 8 9 10 10 10 10 11 11 12 12 12 13 14 16 19 19 17 18 18 18 19 19 20 22 22 22 22 23 23 24 27 28 27 25 21 20 13 5 1 2 4 5 6 6 8 9 9 7 6 6 5 6 7 7 7 9 10 10 9 8 7 6 7 8 8 11 14 15 16 16 15 15 14 13 15 18 18 19 21 17 12 10 9 7 5 4 3 3 4 10 nan
nan 12 13 14 15 13 11 10 10 11 11 11 11 11 10 10 10 10 12 14 14 15 17 17 14 12 11 11 13 13 13 12 11 14 18 17 12 6 2 3 7 8 10 10 11 10 10 11 12 10 8 9 10 12 15 19 19 16 12 10 10 12 13 11 11 12 14 14 11 7 5 6 6 6 8 10 11 13 13 13 12 12 12 13 14 15 15 14 13 13 12 12 13 14 17 17 17 18 19 18 18 19 20 20 20 26 32 33 33 31 28 22 13 8 4 3 4 6 8 10 10 10 8 7 6 6 6 7 8 9 11 12 11 10 9 8 6 7 7 9 11 12 13 15 15 15 14 13 13 16 16 17 21 22 16 12 11 9 8 7 7 5 5 5 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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