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 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 6 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 5 6 6 7 8 9 10 11 12 12 13 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 7 7 6 6 6 6 7 7 9 12 15 16 14 11 10 10 9 8 7 7 6 6 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 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 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 6 7 7 6 6 6 6 6 6 nan
nan 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 9 10 11 11 10 10 10 11 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 11 10 9 8 7 7 6 6 6 6 6 7 9 12 15 17 16 13 11 10 9 9 8 7 7 6 6 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 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 6 6 6 6 6 nan
nan 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 8 10 12 12 11 9 7 6 5 5 5 5 6 6 8 10 13 16 17 15 12 11 10 10 9 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 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 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 nan
nan 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 6 6 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 10 11 11 10 8 7 6 5 4 4 5 6 6 7 7 10 14 17 16 15 13 11 11 10 9 8 8 7 7 6 6 6 6 6 6 6 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 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 7 7 7 7 6 6 5 5 6 6 6 5 5 5 5 5 5 6 7 7 7 6 7 7 8 8 8 9 9 9 9 9 10 9 9 8 8 8 8 8 8 7 6 5 4 4 5 6 6 7 9 12 16 18 18 16 13 12 11 11 10 9 8 8 7 7 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 6 6 6 6 6 6 nan
nan 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 9 9 9 8 9 9 10 10 9 7 7 7 7 7 8 8 8 7 6 6 6 7 8 7 7 8 8 8 8 8 9 10 10 11 10 9 8 8 8 7 8 8 9 9 9 8 7 6 5 4 4 5 6 7 8 10 14 17 20 20 18 15 13 12 11 10 10 9 8 7 7 7 7 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 8 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 11 11 12 12 11 10 9 10 10 10 10 11 10 9 7 7 7 8 8 8 8 7 7 6 7 8 9 10 11 12 11 10 9 8 8 8 9 10 11 11 10 9 8 8 6 5 5 5 6 7 7 8 10 13 17 20 21 20 18 15 14 13 12 10 10 9 8 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 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 5 5 6 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 10 9 8 7 7 8 9 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 8 8 6 6 7 8 9 10 11 11 11 11 11 10 9 7 8 10 11 12 10 9 9 8 8 7 6 6 6 7 7 7 8 9 12 16 20 23 23 22 20 18 15 13 11 10 9 8 8 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 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 5 6 7 8 8 7 7 6 7 7 7 8 9 9 9 8 9 9 10 11 11 11 10 9 9 10 10 11 10 9 8 8 9 9 10 10 9 9 8 8 8 9 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 8 6 7 9 10 10 10 9 8 8 8 7 6 6 6 6 6 7 8 9 12 15 20 23 25 25 23 20 16 14 12 11 10 9 8 8 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 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 nan
nan 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 11 12 12 12 11 10 10 9 9 8 7 6 6 7 8 8 9 9 8 8 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 10 11 12 12 10 8 6 7 9 10 10 9 8 8 8 8 7 6 6 5 6 7 8 8 9 11 13 16 20 23 24 23 20 17 15 13 12 10 10 9 8 8 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 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 nan
nan 9 9 8 7 7 8 8 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 10 11 12 12 11 9 8 8 8 8 7 6 6 6 7 7 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 11 11 9 8 8 8 9 10 11 11 10 8 7 7 8 9 9 8 8 8 8 8 7 6 6 6 7 8 8 8 9 9 11 12 15 20 23 23 21 18 15 13 12 11 10 9 9 8 8 8 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 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 nan
nan 8 9 9 8 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 8 8 7 6 6 7 7 7 8 7 7 7 7 8 8 7 6 6 6 6 6 5 5 5 6 8 10 11 10 8 7 7 8 9 11 12 12 11 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 15 19 23 24 23 19 16 14 13 12 11 10 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 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 7 8 9 8 8 9 9 10 10 10 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 7 7 7 6 5 4 5 7 9 10 9 8 8 8 9 9 10 12 13 12 10 8 8 9 9 9 9 9 9 9 8 8 7 6 6 7 8 8 7 8 8 9 9 11 15 19 23 25 24 21 17 15 13 12 11 10 10 9 9 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 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 6 6 7 8 9 9 10 10 10 9 9 9 8 8 8 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 7 8 9 8 7 6 6 7 8 9 8 8 8 8 9 9 10 11 12 12 10 9 9 9 10 10 11 11 11 10 9 8 7 6 6 6 6 6 6 7 8 9 9 9 10 13 17 23 25 25 22 18 15 13 12 12 11 10 10 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 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 7 8 9 9 9 9 8 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 7 7 7 7 7 9 10 10 9 8 8 8 8 8 7 7 8 8 9 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 6 5 5 4 4 5 7 8 8 8 8 9 11 16 21 24 24 21 17 15 14 13 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 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 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 8 7 7 6 6 6 6 6 6 7 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 8 9 9 10 9 9 9 9 10 11 11 11 9 7 6 6 6 7 8 8 8 7 6 6 6 5 5 5 5 6 6 6 7 7 8 10 14 19 22 22 19 16 14 14 13 12 12 11 11 10 10 10 10 9 9 9 9 9 8 8 8 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 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 nan
nan 9 8 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 9 8 7 7 7 6 6 6 6 6 8 9 9 8 7 6 6 6 6 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 9 9 9 9 9 10 11 12 12 12 11 10 8 6 5 6 7 7 7 7 6 6 7 7 6 5 5 5 4 4 5 6 7 8 10 13 18 20 19 16 15 14 13 13 12 12 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 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 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 nan
nan 9 9 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 7 7 8 9 9 8 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 12 12 11 9 7 7 7 8 8 8 8 9 9 8 7 6 5 4 4 3 3 4 5 6 7 10 14 18 19 18 16 14 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 7 6 6 6 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 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 nan
nan 9 9 9 8 8 7 7 6 6 5 5 5 5 5 5 6 6 8 8 9 9 9 9 8 7 7 7 7 8 8 9 9 9 7 7 7 7 8 7 7 6 7 7 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 10 11 12 11 10 9 9 8 8 9 10 11 12 12 11 9 7 6 5 5 5 4 3 3 4 5 7 11 16 20 21 20 17 15 14 14 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 8 8 8 7 7 6 5 4 4 5 6 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 7 7 6 6 7 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 9 9 11 12 12 11 10 9 8 7 7 7 6 5 4 5 5 5 7 11 16 20 22 22 21 20 20 19 18 15 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 9 10 10 9 9 8 8 7 7 6 6 6 7 7 7 7 7 6 5 5 6 7 8 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 9 10 10 9 9 9 8 8 8 8 7 7 6 5 4 6 9 14 19 23 25 27 28 27 25 21 17 14 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 9 9 8 8 7 7 6 7 7 8 8 7 7 6 6 5 4 4 5 6 8 9 8 7 6 6 6 7 7 7 7 7 8 8 9 11 11 11 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 5 5 5 7 12 17 21 24 26 28 28 25 21 17 15 14 13 12 12 12 11 11 11 11 12 11 11 10 10 9 9 8 8 7 7 7 7 7 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 9 8 8 9 9 9 10 10 10 9 9 10 9 9 9 9 8 8 7 7 6 7 8 9 9 8 7 6 5 4 4 4 5 5 6 7 7 7 7 7 7 8 8 8 7 8 8 9 10 11 12 12 11 11 10 9 9 10 10 10 10 9 8 9 9 9 9 9 9 9 9 10 10 10 10 11 13 13 13 12 11 11 11 10 10 10 10 9 9 9 10 10 9 8 8 8 8 7 6 6 8 11 12 13 16 20 23 25 23 21 18 16 15 14 13 13 12 12 12 12 12 12 12 11 11 10 9 9 8 8 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 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 9 8 8 9 9 10 10 10 9 9 9 10 10 9 9 9 8 8 7 6 6 7 8 9 9 8 7 6 6 6 6 6 7 7 7 7 8 9 10 10 10 9 9 9 9 9 8 9 10 10 11 11 11 11 12 12 12 11 11 10 9 8 7 7 8 8 7 7 8 9 9 10 10 9 9 9 10 11 11 11 11 11 11 11 12 11 10 9 9 9 10 11 10 9 9 9 9 9 8 7 7 7 8 8 9 12 17 23 25 25 22 19 16 15 14 13 13 13 12 12 12 12 12 12 12 11 10 10 9 9 8 8 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 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 10 9 9 9 8 8 8 8 9 10 10 11 11 12 13 13 13 12 11 10 9 9 8 7 7 6 7 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 8 6 6 7 7 7 9 13 19 24 26 26 23 20 17 15 14 14 13 13 12 12 12 13 13 12 12 12 11 10 10 9 9 8 8 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 8 nan
nan 11 11 11 10 10 9 9 9 9 9 9 10 11 12 12 11 10 9 9 8 8 7 7 7 6 5 5 5 6 8 8 9 9 10 10 10 10 10 10 9 8 8 9 10 10 10 9 9 8 7 7 8 9 9 10 10 11 12 12 12 12 13 13 14 14 13 11 9 8 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 10 9 9 9 8 7 6 6 7 7 7 8 10 13 18 23 26 27 25 22 19 17 15 14 13 13 13 12 13 13 13 13 13 12 12 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 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 7 7 7 7 7 7 8 8 nan
nan 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 7 6 5 5 6 7 7 8 8 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 7 7 7 8 8 8 9 10 10 10 11 11 12 14 16 16 15 14 13 11 10 8 7 6 7 9 10 10 9 9 9 9 9 9 9 9 8 8 9 10 12 13 13 12 10 8 8 9 9 10 9 9 8 8 8 7 7 7 7 7 7 8 11 16 21 26 28 27 24 22 20 18 17 16 14 13 13 13 13 13 13 13 13 12 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 11 11 11 10 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 7 7 7 7 6 6 7 8 9 9 10 11 12 13 15 15 15 15 15 14 12 10 8 6 7 8 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 8 7 6 6 6 5 5 6 8 12 17 23 26 28 28 27 27 27 25 22 18 15 14 13 13 13 13 13 13 13 12 11 11 10 9 8 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 10 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 6 6 5 5 6 7 8 9 10 11 12 13 14 14 14 14 15 15 14 13 12 10 9 9 10 10 10 9 9 9 8 8 9 9 8 7 6 6 7 9 10 11 11 11 11 11 10 10 9 9 9 9 9 8 6 5 5 4 4 4 4 5 6 10 15 20 24 28 29 30 32 33 30 24 19 16 14 14 13 13 14 14 14 13 12 12 11 11 10 9 9 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 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 7 6 6 6 6 7 8 8 9 10 11 12 12 12 12 13 14 15 16 16 17 16 14 12 10 11 11 11 10 10 9 9 9 9 10 9 8 7 7 7 7 8 9 11 12 13 13 12 11 10 9 9 8 8 8 7 6 6 5 4 4 4 4 6 8 10 12 15 19 20 22 24 26 27 24 21 18 16 15 14 14 14 14 14 14 13 13 13 12 11 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 nan
nan 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 8 9 9 10 10 11 12 14 16 17 17 18 18 16 14 12 11 11 11 11 11 10 10 9 8 9 9 9 8 7 6 7 8 9 10 11 12 13 13 12 12 11 10 8 7 8 8 8 7 6 5 5 5 5 6 7 8 8 9 10 11 12 12 13 15 17 17 17 16 15 15 14 14 13 13 13 14 14 13 13 12 12 11 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 nan
nan 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 10 10 10 10 9 8 7 6 6 6 7 8 8 8 7 7 7 7 7 8 10 12 14 15 15 15 15 15 14 13 11 10 10 10 10 10 10 10 8 8 8 10 10 9 7 6 7 7 8 9 9 10 11 12 12 12 12 11 10 9 9 9 9 8 8 7 6 6 5 5 6 7 7 7 7 8 8 8 8 9 11 13 14 14 14 14 14 14 13 13 13 13 14 14 14 13 13 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 8 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 8 7 7 7 7 8 8 7 7 7 7 7 8 8 10 11 12 11 10 10 9 8 8 9 10 10 9 8 8 8 8 9 9 8 9 9 10 10 8 7 7 8 8 9 9 9 9 10 11 10 10 10 10 10 9 9 9 9 9 9 8 7 5 4 4 5 6 7 8 8 8 8 9 10 12 14 15 14 13 13 13 13 13 12 12 13 13 13 14 14 13 13 13 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 4 4 4 5 7 8 9 9 9 8 7 7 7 9 9 9 8 8 9 9 9 8 8 9 9 9 9 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 6 4 3 4 5 7 7 8 9 11 14 17 19 21 21 19 16 14 13 12 12 12 11 11 12 12 13 13 13 14 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 6 6 6 6 6 7 7 7 7 6 5 4 3 4 4 4 5 6 8 9 10 10 10 9 8 7 7 8 9 8 6 6 7 9 9 9 8 8 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 4 4 4 5 7 8 10 14 19 22 24 25 26 26 23 19 15 13 12 11 11 10 10 11 11 12 13 13 13 13 13 13 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 8 9 9 10 10 9 9 8 7 7 6 5 4 5 6 6 6 5 4 4 3 3 5 6 8 9 9 9 10 10 10 11 10 9 8 7 7 7 7 6 6 7 8 8 7 7 7 7 7 7 7 9 10 12 12 12 11 10 9 9 9 9 9 9 8 8 8 7 6 5 4 5 6 8 10 13 16 18 19 21 24 28 28 25 19 14 13 12 11 10 10 10 10 11 12 12 13 13 13 13 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 9 9 8 8 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 10 8 7 6 6 7 8 8 9 9 10 11 12 11 10 9 8 6 5 4 4 5 5 4 4 4 4 4 5 7 9 10 10 10 9 9 9 10 10 10 9 8 7 7 7 8 8 7 7 6 4 4 4 4 5 6 7 7 8 9 11 12 12 12 11 11 10 9 9 9 9 8 8 8 8 8 7 6 6 7 8 8 9 9 10 11 13 17 22 26 27 23 18 14 13 12 11 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 nan
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nan 7 7 7 8 8 8 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 9 9 9 9 10 10 10 10 11 10 9 8 7 7 7 7 7 8 9 10 11 12 12 13 12 11 9 8 7 7 6 5 5 4 5 5 6 8 9 9 7 7 7 8 9 10 10 11 12 12 11 9 9 9 10 9 9 8 7 6 5 4 4 4 4 3 4 5 6 8 9 10 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 5 4 1 -1 -1 3 9 14 14 14 13 13 12 12 11 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 6 6 6 6 7 9 10 10 9 9 10 10 9 8 7 8 9 10 10 10 8 8 7 7 7 7 8 9 9 10 11 13 13 12 10 9 8 7 6 5 4 4 4 4 4 5 6 6 6 6 7 8 9 9 9 11 12 12 12 12 12 11 11 11 11 12 12 11 10 10 9 8 7 5 5 5 6 7 8 9 10 11 11 11 11 12 12 11 11 10 9 9 10 10 10 9 9 9 10 9 7 5 1 -3 -6 -5 -1 4 8 9 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 13 12 12 11 11 12 12 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 8 6 5 5 6 8 9 10 11 11 11 10 8 6 5 5 7 9 10 10 10 9 9 10 10 10 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 13 13 13 13 13 13 12 11 11 11 12 12 12 13 13 14 14 12 9 6 5 6 9 12 15 17 17 16 18 20 21 19 17 16 15 15 15 14 13 13 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 nan
nan 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 13 13 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 12 13 13 13 13 13 12 11 11 10 9 8 8 9 10 11 12 12 11 10 9 8 7 8 9 9 9 9 9 9 9 10 11 11 12 11 11 10 10 12 13 13 12 10 9 9 9 9 9 9 10 10 10 11 11 12 12 13 12 12 11 11 12 13 14 14 13 12 12 13 13 13 11 7 2 1 0 0 1 4 7 10 14 16 15 15 15 15 15 14 14 13 13 13 14 14 14 15 16 16 15 15 16 16 17 18 18 18 nan
nan 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 11 11 12 12 13 13 14 13 13 13 13 13 14 14 13 11 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 12 13 14 14 14 14 14 14 14 13 13 13 12 10 9 8 9 10 11 11 12 13 13 12 10 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 11 12 13 13 13 11 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 11 12 13 14 14 13 13 15 18 21 22 21 17 13 10 7 6 7 9 10 10 10 12 13 14 14 14 14 14 14 14 14 15 15 16 17 19 19 20 21 23 25 27 28 28 28 nan
nan 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 12 12 12 13 13 12 10 9 8 9 9 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 7 8 9 9 10 11 13 14 14 14 14 14 14 14 13 13 12 11 11 10 9 9 9 10 11 12 13 13 12 11 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 10 11 12 13 13 15 17 19 23 27 29 28 26 24 23 23 23 22 20 19 20 21 21 20 18 17 16 16 16 16 17 19 22 24 24 24 23 25 28 31 34 36 37 37 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 10 10 9 10 10 11 12 12 12 11 11 11 12 11 10 9 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 5 3 2 1 1 4 5 6 6 7 9 11 13 14 14 14 13 13 12 11 11 12 11 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 11 10 10 10 10 10 11 11 10 9 8 9 10 11 12 12 12 13 16 20 24 28 29 29 30 30 31 30 28 29 29 29 29 29 28 25 23 21 20 20 20 23 26 28 27 24 21 21 24 26 29 32 36 38 nan
nan 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 12 11 10 8 6 6 8 9 10 10 11 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 10 8 6 3 1 -2 -4 -5 -6 -6 -5 -4 -4 -4 -3 -0 5 9 13 13 13 13 12 12 12 13 13 13 12 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 10 10 11 11 12 12 11 10 9 9 10 10 10 9 10 11 12 14 17 19 21 22 23 23 23 23 24 25 27 29 31 32 31 30 29 28 26 24 23 21 21 21 19 17 14 14 16 18 19 22 26 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 11 7 3 -1 -2 0 3 5 7 8 9 9 9 9 9 8 7 7 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 11 8 4 0 -2 -3 -3 -3 -3 -3 -4 -6 -8 -10 -11 -10 -8 -4 1 6 8 9 10 11 12 12 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 11 10 9 9 10 10 10 9 9 9 9 10 11 12 13 14 13 14 14 15 17 18 20 22 25 27 29 30 30 29 26 21 17 14 15 16 15 14 12 10 10 9 8 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 11 7 1 -4 -7 -7 -4 -2 0 3 5 7 7 8 8 8 7 7 8 9 9 9 9 10 10 11 11 11 11 11 10 10 11 12 12 13 13 12 9 5 2 -0 0 1 3 4 5 5 4 3 1 -2 -4 -6 -8 -9 -9 -7 -4 -1 2 5 8 9 10 11 10 10 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 7 8 8 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 11 12 12 13 14 14 16 18 21 22 23 23 22 20 17 14 13 13 12 11 10 8 5 4 3 2 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 11 12 13 13 12 8 2 -3 -5 -4 -2 -1 -0 0 2 3 5 7 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 12 10 9 7 7 7 9 10 11 11 11 12 11 11 10 9 7 4 -0 -5 -11 -14 -14 -12 -10 -6 -2 2 4 6 6 6 6 7 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 6 6 6 7 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 9 10 10 11 11 12 12 12 12 13 13 13 14 14 15 16 14 12 8 5 3 2 2 2 2 1 1 0 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 11 12 11 9 5 -1 -3 -2 1 4 5 5 4 4 4 5 7 9 11 10 10 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 11 12 14 16 18 19 20 20 20 19 18 17 15 14 13 12 11 8 4 -1 -5 -8 -10 -11 -11 -10 -8 -6 -3 0 3 5 6 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 10 9 8 7 6 7 9 10 10 9 8 8 8 8 8 8 9 10 11 12 12 11 11 10 10 10 10 10 10 10 9 10 11 12 13 14 14 13 13 13 13 13 13 12 11 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 7 3 -0 -3 -3 -2 -2 -1 -0 -0 -1 nan
nan 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 7 2 -1 -1 1 5 7 8 8 8 7 7 8 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 13 15 18 21 24 26 26 27 27 26 24 21 19 17 15 15 14 13 11 9 8 6 3 -0 -3 -6 -9 -10 -9 -5 -2 2 4 3 3 4 5 7 8 9 10 11 11 11 12 12 12 11 10 9 8 7 7 7 8 9 10 10 10 10 10 10 9 9 9 10 10 12 12 11 11 10 9 9 9 9 8 8 8 9 10 11 12 13 14 15 15 15 14 13 13 11 10 10 10 10 11 11 10 11 11 11 10 10 11 11 11 11 10 9 9 8 8 7 5 3 1 0 -0 -0 -0 0 0 -0 -0 nan
nan 10 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 4 -0 -1 0 3 6 8 9 10 10 10 11 12 13 12 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 15 17 19 21 22 23 22 22 23 23 23 23 21 19 18 16 14 14 13 13 13 12 10 7 4 1 -2 -4 -6 -6 -6 -5 -2 -1 1 3 5 6 7 8 10 11 12 12 12 12 11 11 10 11 11 11 10 9 9 10 11 11 10 10 10 11 11 11 10 10 11 11 11 10 10 9 9 8 7 7 7 8 8 9 9 11 12 14 16 18 17 15 13 12 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 10 9 8 7 7 5 4 4 4 4 4 3 3 3 3 3 2 2 nan
nan 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 6 2 -1 -1 1 4 7 9 10 10 11 11 12 13 13 12 10 10 11 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 14 13 11 10 11 15 20 24 24 23 21 19 16 14 13 13 13 13 13 12 11 10 8 4 -0 -5 -9 -11 -9 -7 -4 -0 3 4 5 6 7 9 11 12 12 12 12 12 12 13 13 13 13 11 10 9 10 10 9 9 10 12 13 13 12 11 11 11 10 10 9 8 8 7 6 5 5 6 7 7 8 9 11 13 16 17 16 14 13 11 10 10 10 11 12 12 11 11 11 11 11 11 10 10 10 10 10 9 8 6 4 2 2 3 4 6 6 6 5 5 5 5 5 6 nan
nan 10 10 9 9 8 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 7 4 0 -1 -0 3 6 9 10 11 11 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 9 5 2 2 4 9 14 18 21 22 22 21 18 16 14 13 13 13 13 13 13 13 12 10 7 3 -0 -4 -6 -7 -7 -5 -2 0 3 4 5 5 6 8 9 11 11 11 12 12 11 10 10 9 9 8 8 7 7 7 8 10 12 14 13 12 11 11 10 9 8 8 8 8 7 7 6 6 6 6 7 8 9 11 14 15 14 13 12 11 10 10 10 11 12 12 12 11 11 10 10 11 10 11 11 11 11 11 10 8 6 4 5 6 7 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 9 9 10 10 10 11 10 10 9 9 8 8 8 7 4 1 1 2 5 8 10 11 11 12 12 12 12 13 13 14 15 15 14 12 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 8 5 5 6 8 11 12 13 15 18 20 21 20 19 18 17 16 16 16 16 16 17 17 16 15 13 10 7 4 0 -3 -5 -5 -3 -1 2 2 2 3 4 5 7 8 8 7 7 7 8 8 9 8 8 7 7 6 6 6 8 10 12 13 12 11 11 10 10 9 9 9 10 10 10 9 8 7 7 7 7 8 10 11 12 12 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 12 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 8 6 4 4 5 7 9 10 11 11 12 12 12 12 12 13 14 15 14 12 11 11 12 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 11 14 17 17 16 14 12 13 14 16 18 21 22 23 22 23 23 23 23 23 25 25 24 22 19 16 14 12 9 5 1 -2 -4 -4 -2 1 2 3 3 4 4 5 5 6 6 7 9 10 11 11 10 9 9 8 7 7 8 9 10 11 11 11 11 11 10 9 9 8 9 9 10 10 9 8 7 7 6 7 9 10 10 11 11 10 10 9 9 10 10 10 11 11 11 10 10 9 9 10 10 10 11 12 12 13 16 19 20 19 16 14 12 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 7 6 5 6 8 9 10 11 11 12 12 12 12 12 13 14 14 12 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 13 16 18 18 16 13 12 11 11 12 14 17 20 22 24 25 26 27 28 28 28 28 27 25 23 21 20 19 18 15 12 7 2 -2 -2 0 3 5 6 6 6 5 6 6 7 8 9 11 11 12 11 11 11 10 10 10 10 10 10 10 9 9 9 10 9 9 8 7 6 6 7 8 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 13 16 18 19 17 14 12 11 11 11 11 11 11 12 12 12 nan
nan 8 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 7 5 4 5 7 9 10 11 11 12 12 12 12 12 13 15 15 13 12 12 12 12 11 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 7 8 9 10 11 12 11 11 10 10 11 11 11 12 13 14 17 19 21 22 22 23 23 22 21 21 23 25 25 25 25 26 26 24 21 17 12 9 8 8 9 9 9 8 7 7 7 7 7 8 8 8 9 10 10 11 11 11 12 12 12 11 9 7 6 7 8 8 9 8 8 7 6 6 6 8 8 8 8 8 9 10 11 11 9 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 11 12 13 14 14 14 14 13 12 10 9 10 10 11 11 11 11 12 12 12 nan
nan 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 9 7 4 4 5 7 9 10 11 11 12 12 13 13 13 16 18 18 17 16 14 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 8 7 6 7 8 10 11 11 12 12 13 14 15 15 16 15 15 14 14 15 17 20 22 24 26 27 28 29 29 28 26 23 19 15 13 12 10 9 9 9 9 8 8 7 6 6 7 8 9 10 10 11 12 13 13 11 9 7 5 6 7 8 9 9 10 9 8 7 7 9 10 10 9 9 9 9 11 11 10 9 8 7 8 9 9 9 10 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 12 12 12 10 9 9 10 10 10 10 11 11 12 12 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 7 5 5 5 7 8 10 11 11 12 12 13 13 14 18 21 21 20 16 14 13 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 8 6 3 2 2 5 8 10 11 11 12 12 13 13 13 12 12 11 11 11 12 12 14 16 18 20 21 22 24 25 26 25 23 19 16 14 12 12 11 10 10 10 11 10 9 7 7 8 9 10 10 10 11 12 12 12 12 11 10 9 8 9 9 10 10 11 11 11 10 11 12 13 13 12 11 10 10 10 11 11 10 9 8 8 8 8 8 10 11 11 11 10 9 9 9 10 11 12 12 11 11 11 11 13 15 17 15 12 11 10 10 11 11 11 11 12 13 nan
nan 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 7 4 3 3 4 7 9 10 11 12 12 12 12 13 17 22 24 23 20 15 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 10 9 5 2 0 -0 1 4 6 8 10 11 12 12 12 12 11 11 11 11 11 11 11 12 13 15 15 15 14 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 10 9 8 7 7 8 10 10 10 11 12 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 11 9 8 8 8 8 8 9 10 10 10 9 8 8 9 10 11 12 12 11 10 9 10 13 17 19 20 16 14 12 11 11 11 11 11 12 12 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 6 3 2 1 4 8 9 10 11 12 12 12 13 15 21 26 27 24 18 14 13 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 10 8 6 4 2 1 0 1 3 6 9 11 11 12 11 11 11 10 10 11 11 12 12 13 13 13 13 11 8 4 2 1 2 3 4 5 6 6 7 7 9 10 9 7 5 3 2 1 2 2 3 5 6 8 10 12 14 14 14 15 16 17 17 17 16 16 15 14 14 13 12 12 12 12 12 13 14 14 14 14 14 12 10 9 8 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 10 10 9 9 11 15 19 21 20 17 15 13 12 12 12 12 12 13 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 7 6 5 5 7 9 10 10 11 11 11 12 13 17 24 27 24 19 14 13 13 14 14 13 12 11 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 9 7 6 5 4 4 4 3 4 6 9 11 12 11 11 11 10 10 10 11 12 12 12 12 13 13 12 10 7 4 -0 -2 -3 -3 -3 -3 -3 -2 -2 -1 1 2 1 -0 -2 -3 -4 -5 -4 -5 -5 -5 -4 -1 3 7 11 13 14 15 16 17 17 17 16 15 14 14 13 12 11 10 10 10 11 12 13 15 15 15 14 12 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 10 9 9 9 9 10 12 17 21 23 21 18 15 14 13 13 13 13 13 nan
nan 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 8 9 9 10 10 11 11 12 14 18 22 21 16 12 11 13 15 16 15 13 12 11 11 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 8 6 4 4 5 7 8 8 8 9 10 11 12 11 11 10 10 10 10 11 12 12 12 12 12 13 14 15 16 15 11 7 3 -0 -2 -3 -4 -6 -6 -6 -6 -5 -5 -4 -3 -2 -2 -2 -3 -4 -5 -6 -7 -7 -5 -2 2 6 10 12 14 14 14 14 13 13 12 11 11 11 10 10 10 11 11 12 13 14 14 14 13 12 10 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 10 10 10 10 10 11 15 19 23 24 21 18 15 15 14 14 14 14 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 7 6 7 8 8 9 10 11 11 12 14 17 19 15 12 10 12 15 16 15 13 12 11 11 10 10 10 10 11 11 12 12 11 10 9 7 6 6 6 7 8 9 10 10 9 7 5 4 4 6 9 9 10 10 12 13 13 12 12 11 10 10 10 11 11 11 12 12 12 12 13 16 20 23 24 22 19 15 11 8 6 4 2 -0 -2 -3 -3 -2 -0 1 3 4 4 3 2 2 1 -1 -4 -6 -8 -7 -3 3 8 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 11 11 11 11 11 11 12 13 17 21 23 23 20 17 16 16 16 16 16 nan
nan 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 10 11 11 12 13 17 17 15 14 14 15 15 13 11 9 9 9 10 10 10 10 10 11 11 11 11 10 9 6 3 1 0 1 4 7 9 10 10 9 7 5 4 5 7 8 9 10 13 16 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 13 14 18 21 24 25 26 24 22 19 17 15 13 11 8 7 6 7 7 7 7 8 8 8 8 9 8 7 4 0 -3 -5 -4 -1 4 7 9 10 11 11 11 10 10 10 9 9 10 10 10 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 11 11 10 11 11 12 12 14 18 21 23 22 20 19 19 19 19 18 nan
nan 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 9 8 7 6 6 7 8 9 10 11 11 12 13 15 16 16 17 18 16 13 11 9 8 8 10 11 12 12 12 12 11 11 11 11 10 9 6 4 3 2 2 4 7 9 9 10 8 6 4 3 5 7 8 9 11 15 17 17 16 15 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 15 18 22 25 27 28 27 25 23 21 20 19 17 16 15 14 13 13 13 14 15 16 16 15 12 9 7 5 2 -0 -1 1 4 7 9 10 11 10 10 10 10 9 9 10 10 10 11 12 12 12 13 13 12 12 12 12 11 10 10 10 11 11 11 11 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 15 19 22 24 24 23 24 24 23 22 nan
nan 10 11 12 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 6 7 8 9 10 11 11 12 13 14 15 17 18 17 14 12 11 11 11 11 11 12 13 14 14 14 13 13 14 13 12 11 10 10 10 9 7 7 7 6 6 5 3 1 1 2 5 7 8 9 11 14 16 16 15 14 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 12 16 20 24 27 29 30 29 28 27 27 26 25 24 23 22 22 23 24 25 25 24 21 18 15 12 10 8 5 2 2 4 6 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 12 10 8 8 9 10 11 11 12 12 12 12 12 13 13 13 12 12 13 13 12 12 11 11 11 13 16 19 22 24 25 26 27 27 27 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 8 6 6 7 8 9 10 11 12 12 13 14 15 18 18 16 14 13 12 13 13 12 12 11 12 13 13 14 15 16 15 14 13 12 13 14 15 13 12 9 6 3 1 -1 -3 -3 -1 3 6 8 9 10 12 14 15 15 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 12 14 17 20 23 25 26 26 27 28 28 29 29 29 30 31 31 30 29 28 27 26 23 20 17 15 14 12 10 8 8 8 9 10 10 10 10 9 9 9 10 10 11 11 11 10 10 11 12 13 15 16 16 13 9 7 6 8 9 10 11 12 12 12 12 13 12 12 12 13 13 14 15 15 14 13 12 11 12 13 16 18 19 20 22 24 26 27 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
25 30 31 29 24 17 8 2 2 2 2 4 7 9 10 15 19 19 18 13 8 7 6 4 4 4 3 3 3 2 2 2 2 2 3 3 4 6 7 8 7 6 6 6 6 7 8 8 7 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 8 11 15 18 20 23 26 28 31 33 33 34 33 30 30 29 27 27 29 30 31 31 30 28 29 27 26 25 25 26 24 24 24 25 24 22 22 24 25 26 27 29 28 27 26 25 22 21 20 20 20 21 22 22 23 25 27 32 37 41 45 46 45 43 42 42
25 27 26 23 18 11 5 1 1 2 3 4 5 6 9 13 13 12 9 7 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 5 6 6 5 6 7 8 8 9 10 10 10 9 8 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 8 11 15 19 22 25 29 36 39 39 39 39 38 38 36 33 32 34 34 34 33 34 31 30 29 27 25 24 24 23 23 23 25 24 22 22 24 25 25 27 29 30 30 29 27 24 22 21 20 20 23 24 23 22 22 23 28 34 41 47 51 47 44 43 43
23 23 22 19 14 8 4 3 4 4 4 4 5 6 6 8 8 8 7 6 6 6 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 7 8 9 10 11 11 12 11 10 9 8 6 4 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 17 21 25 31 38 42 43 44 45 46 46 44 42 41 40 39 38 39 38 36 34 32 30 28 26 24 23 23 23 24 25 25 24 23 23 25 28 31 32 31 30 29 27 26 25 24 24 26 26 24 21 20 21 25 33 40 46 48 46 44 44 44
21 21 20 18 13 8 6 5 5 5 5 4 4 5 6 6 6 6 6 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 6 8 9 10 10 10 10 9 8 7 7 6 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 14 18 22 27 34 40 43 46 48 50 51 50 50 48 46 44 44 44 42 41 40 37 36 34 32 30 28 27 26 27 28 28 24 23 23 26 29 32 33 33 32 31 30 30 29 27 27 28 28 26 23 20 21 24 31 38 43 45 44 43 42 43
18 17 16 13 10 7 6 5 5 6 7 6 6 6 5 5 6 5 5 5 4 5 5 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 6 4 4 5 6 5 4 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 12 16 18 21 27 34 40 45 47 50 52 54 54 54 52 51 50 49 48 46 45 43 42 40 39 36 34 33 32 32 32 33 31 29 28 29 31 33 34 34 34 34 33 32 32 30 30 30 30 28 25 22 21 23 29 35 40 41 40 39 38 40
12 11 10 8 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 5 5 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 6 5 5 5 5 5 4 4 4 5 6 6 7 5 4 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 9 13 15 17 19 28 35 41 45 49 52 56 58 60 59 58 55 53 51 50 49 48 47 46 45 43 41 39 38 37 37 37 36 35 34 34 34 35 36 36 37 37 36 35 35 34 33 32 32 30 28 25 21 22 27 32 36 36 35 32 33 36
8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 7 7 7 6 6 6 6 7 8 8 8 7 6 6 7 7 7 7 7 7 7 6 5 6 6 5 4 5 5 5 4 4 4 4 4 5 5 6 6 7 7 6 6 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 13 15 16 23 30 37 43 48 55 61 64 67 68 67 65 60 56 55 53 50 49 49 49 48 46 45 44 43 42 41 41 40 38 37 37 37 37 38 39 39 39 38 38 37 36 35 34 33 31 28 24 24 27 31 33 34 29 26 27 31
6 6 5 5 7 8 8 8 8 8 8 7 7 9 9 9 9 9 8 8 8 7 7 8 9 8 8 7 6 6 6 6 5 4 3 2 2 2 3 3 3 3 2 2 3 3 2 2 2 1 1 2 3 4 6 7 7 8 8 8 6 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 12 14 18 23 29 38 45 53 60 67 72 75 75 73 72 69 65 62 58 56 54 52 51 50 48 47 46 45 45 44 44 42 41 40 40 40 40 41 41 41 41 41 41 40 38 37 35 34 31 29 28 29 31 33 33 29 25 24 27
7 7 6 6 8 9 9 9 9 9 9 9 9 9 8 9 10 10 9 8 8 8 8 8 9 8 8 7 7 6 5 5 3 2 2 1 1 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 3 5 6 8 8 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 15 18 22 33 40 48 57 66 72 76 80 82 81 78 75 72 69 66 63 60 57 54 52 50 48 48 48 47 47 46 45 44 43 43 43 43 43 43 43 43 42 41 41 40 38 37 35 33 31 30 31 33 32 30 26 23 23
8 8 8 8 9 9 9 10 9 9 10 11 10 10 9 10 10 10 10 9 9 8 7 7 8 8 9 9 9 7 5 4 3 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 6 10 13 15 17 25 34 42 51 62 70 76 81 85 86 86 83 80 77 73 69 67 65 63 59 56 52 50 50 50 49 48 48 47 46 45 45 45 46 46 46 46 45 43 43 42 42 41 39 37 35 33 32 33 33 32 28 24 22
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