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 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 7 8 8 9 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 6 6 6 7 8 9 13 17 18 15 11 10 9 9 8 8 8 8 8 9 9 9 9 10 10 9 9 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 nan
nan 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 6 6 7 8 9 11 15 18 16 13 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 5 5 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 7 7 7 8 8 8 8 7 7 8 8 8 7 7 6 7 7 6 7 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 6 6 7 8 10 13 17 18 16 12 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 nan
nan 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 8 9 9 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 7 8 9 11 16 19 18 16 13 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 5 5 5 6 6 6 nan
nan 8 7 7 7 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 8 9 9 8 8 8 8 8 8 8 8 9 10 11 12 11 10 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 10 9 9 9 8 8 7 7 6 6 7 8 9 9 9 8 8 7 7 6 6 6 7 8 10 14 17 20 19 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 11 12 12 11 10 10 10 10 10 9 9 8 8 8 9 9 9 9 7 7 6 6 7 8 9 9 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 7 8 11 15 18 21 21 19 15 13 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 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 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 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 6 7 8 8 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 8 11 14 18 21 22 20 17 15 14 13 12 12 12 11 11 11 10 10 10 10 9 9 9 9 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 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 nan
nan 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 7 9 9 9 9 9 10 9 7 6 6 6 6 7 7 8 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 10 13 17 21 23 23 21 19 17 15 14 13 12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 6 6 nan
nan 7 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 10 9 8 8 7 6 6 5 4 3 4 7 8 7 6 7 7 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 9 8 8 8 8 8 7 7 6 6 7 7 8 9 12 15 20 23 24 24 23 20 17 15 13 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 7 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 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 nan
nan 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 9 10 10 10 9 8 7 6 5 5 4 4 3 3 4 5 5 4 4 5 6 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 11 13 16 19 22 24 23 21 18 15 13 12 12 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 5 5 5 4 4 4 4 5 5 6 7 8 8 8 7 7 6 7 7 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 9 9 9 9 8 8 9 9 9 8 8 7 7 7 8 8 7 7 7 8 8 8 9 10 12 15 19 23 23 21 18 15 13 12 12 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 9 8 8 7 7 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 6 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 7 8 8 9 9 8 8 7 7 7 8 8 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 7 7 7 7 7 8 8 9 10 14 18 22 24 23 19 16 14 13 12 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 7 6 5 6 7 7 7 7 7 7 7 7 7 8 9 10 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 6 6 6 7 7 8 8 9 10 13 18 22 25 24 21 17 15 13 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 5 5 6 7 7 7 7 7 7 7 8 9 10 11 11 10 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 8 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 7 8 7 7 7 7 8 8 7 7 7 6 6 7 6 7 7 8 8 8 9 12 17 22 25 25 23 19 15 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 8 8 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 6 5 5 6 7 7 7 7 7 8 9 10 12 13 11 8 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 9 9 8 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 8 8 7 7 7 7 8 7 7 7 7 7 8 8 9 11 15 21 25 25 22 18 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 6 5 5 6 7 7 7 8 8 8 9 11 13 13 9 7 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 8 8 8 8 7 8 8 8 8 7 6 6 6 6 7 7 7 8 10 14 20 23 24 20 16 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 9 9 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 7 6 6 6 7 7 7 8 8 10 12 12 10 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 6 5 5 6 6 6 6 7 7 8 10 14 20 22 21 18 15 14 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 11 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 8 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 nan
nan 9 9 8 7 6 6 6 6 7 7 8 8 10 11 11 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 7 7 7 7 8 9 9 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 7 8 7 6 6 5 6 6 5 5 6 6 7 8 11 16 21 22 20 17 15 14 13 13 13 13 12 12 12 12 12 12 11 11 12 12 12 12 11 10 9 8 7 7 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 7 8 9 9 9 9 9 9 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 7 7 7 nan
nan 9 9 8 8 7 6 6 7 7 7 7 8 9 10 9 8 7 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 6 7 8 9 9 9 9 8 8 7 6 6 6 5 6 6 7 8 9 8 7 6 6 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 8 8 8 8 8 8 7 7 6 6 5 5 5 6 6 8 12 18 22 23 21 19 16 14 14 14 14 13 13 12 12 12 12 12 11 11 12 12 12 12 11 10 9 8 8 7 7 6 6 6 5 5 6 6 6 6 5 5 5 5 6 6 7 8 8 9 10 10 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 6 7 7 nan
nan 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 6 6 7 8 8 9 9 8 8 7 7 6 6 6 6 7 8 8 9 7 6 6 5 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 6 5 5 5 6 8 12 18 21 23 23 21 19 19 19 18 16 14 13 12 12 12 12 11 11 11 11 12 12 12 12 11 10 9 8 7 7 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 10 9 9 8 7 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 6 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 6 5 6 6 5 7 10 15 20 22 23 24 24 24 24 22 18 15 13 13 12 11 11 11 11 11 12 12 12 13 12 11 10 9 9 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 7 7 8 8 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 nan
nan 10 9 9 7 6 6 6 7 7 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 7 8 7 6 6 6 9 13 16 18 20 22 24 26 25 21 17 15 14 13 12 12 11 11 11 12 12 12 12 12 12 11 11 10 9 8 7 7 6 6 5 5 5 6 6 7 7 7 7 6 5 4 4 5 5 5 6 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 nan
nan 10 9 9 8 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 6 6 5 5 5 6 7 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 9 8 7 8 9 9 8 7 6 6 8 10 11 12 14 18 23 25 24 21 18 16 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 8 8 7 6 6 5 5 5 5 6 6 7 7 7 6 5 4 4 4 4 4 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 7 7 7 8 8 8 8 9 9 8 7 6 6 6 6 6 5 6 6 6 6 6 6 7 8 7 7 7 7 7 6 5 5 5 5 6 7 7 8 8 9 10 10 10 10 9 8 7 7 8 8 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 8 8 8 8 9 10 10 10 9 7 6 6 6 7 7 8 12 17 23 25 25 22 19 16 15 14 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 8 7 6 6 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 6 6 7 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 nan
nan 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 6 7 8 8 8 8 8 8 8 7 7 6 5 5 4 5 6 8 9 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 6 6 6 6 7 7 9 13 18 23 26 26 23 20 17 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 7 6 6 5 5 5 5 5 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 nan
nan 9 9 8 7 7 6 6 7 8 9 10 10 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 10 9 8 8 9 10 9 8 7 5 4 4 6 7 8 10 11 12 12 10 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 7 6 7 7 8 8 10 12 17 22 26 27 26 22 19 17 15 14 13 13 13 12 13 13 13 13 12 12 12 11 11 10 10 9 8 7 7 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 9 8 8 7 7 7 6 7 8 9 9 9 8 7 7 8 8 7 7 7 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 9 10 10 10 9 7 5 5 6 6 7 9 12 14 12 10 7 7 6 6 5 6 6 7 7 8 8 9 9 10 11 11 11 10 9 7 6 6 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 11 11 11 10 10 9 9 9 9 8 7 7 7 7 7 7 8 11 15 21 26 28 27 25 22 20 18 17 16 15 14 13 13 13 13 13 13 12 12 11 11 10 10 9 8 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 nan
nan 8 8 7 7 8 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 8 7 8 8 8 8 8 8 7 8 9 10 10 9 7 6 6 6 7 9 11 12 10 8 6 6 5 5 5 5 5 6 6 6 7 8 9 9 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 9 9 10 11 11 10 10 10 10 10 9 8 8 8 7 7 7 7 7 8 10 13 18 23 27 28 28 26 26 26 24 22 19 16 14 14 13 13 13 13 13 12 12 11 10 10 9 8 8 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 nan
nan 8 8 8 8 8 7 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 8 7 7 7 7 7 6 5 6 7 8 9 9 8 7 7 7 7 8 9 8 7 5 5 5 5 5 6 6 7 7 6 6 6 7 8 8 8 9 9 10 10 10 9 9 8 9 9 10 10 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 6 6 6 7 8 11 15 20 24 27 27 28 30 32 30 26 21 17 16 15 14 14 14 13 13 12 11 11 10 10 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 8 8 8 7 7 6 5 4 4 5 6 7 7 8 8 9 9 9 9 8 7 5 4 3 3 5 6 7 8 8 8 8 8 8 8 7 7 7 8 9 10 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 7 8 8 8 9 9 10 11 11 10 9 8 7 8 9 9 8 7 7 6 6 6 6 7 8 9 12 15 18 20 21 23 26 29 27 24 20 18 16 15 15 14 14 13 13 12 12 11 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 8 8 8 8 9 10 9 9 9 10 10 10 9 9 7 5 4 4 4 5 5 6 7 8 9 11 11 11 10 9 7 4 3 4 5 7 7 8 8 8 8 9 9 9 8 7 7 7 8 9 11 13 14 13 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 11 11 11 9 8 8 9 9 9 8 8 7 7 6 6 6 7 7 8 9 10 12 13 14 16 19 21 21 20 19 17 16 15 15 14 14 13 13 12 11 11 10 9 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 7 7 8 8 8 7 6 6 7 7 8 8 9 9 10 9 9 8 8 7 7 8 8 9 9 10 11 11 11 10 9 7 6 5 5 5 5 5 5 6 8 9 10 11 12 12 10 8 6 6 6 7 7 7 7 8 9 9 10 9 8 7 7 7 8 9 10 12 13 14 14 13 12 11 11 10 10 10 10 9 9 10 11 11 11 10 9 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 9 8 7 6 6 7 7 8 8 8 9 10 12 13 14 16 17 18 17 17 16 16 16 15 15 14 14 13 12 11 11 10 9 9 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 9 9 9 8 8 7 8 8 7 8 8 9 9 10 9 9 8 8 7 7 7 8 9 10 10 10 10 10 10 9 9 8 6 5 5 5 5 6 6 7 8 10 11 11 11 10 9 8 7 7 6 6 7 8 9 10 10 10 9 9 8 8 8 8 9 10 11 13 14 14 14 13 11 10 10 9 10 10 10 11 11 12 11 11 10 10 10 9 9 8 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 9 8 7 6 6 7 7 8 8 8 10 13 15 16 16 17 17 17 16 16 16 16 16 15 15 15 14 13 13 12 11 10 9 8 8 8 7 7 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 nan
nan 9 8 8 8 8 9 9 10 10 10 9 8 7 7 7 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 7 6 5 5 5 6 6 7 8 9 9 10 11 11 10 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 12 13 13 13 12 11 10 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 9 10 11 11 11 11 10 9 9 9 9 8 7 6 6 6 7 7 7 8 10 13 17 19 20 21 22 20 18 16 16 16 16 16 15 15 14 14 13 13 12 11 10 9 8 8 8 8 7 7 7 6 6 6 5 5 6 6 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 nan
nan 9 9 8 8 8 9 10 10 11 11 10 9 8 8 8 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 7 6 5 5 5 6 7 7 8 9 10 12 12 11 9 8 7 6 5 5 5 6 6 6 6 7 7 8 8 7 7 7 7 8 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 8 7 7 6 6 7 7 8 10 13 17 19 21 23 25 25 23 20 17 15 15 15 15 15 14 14 13 13 12 11 10 10 9 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 10 10 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 12 12 11 10 10 10 7 5 5 5 5 6 7 7 7 9 10 12 12 11 10 10 9 8 5 4 3 3 3 3 4 5 6 6 6 6 5 5 5 6 7 6 7 8 10 11 12 11 10 10 10 11 11 9 8 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 9 10 10 11 10 10 9 9 9 9 8 7 6 6 6 7 9 11 13 14 15 16 19 22 26 26 24 20 16 14 14 14 14 14 13 13 12 12 12 11 10 9 9 9 8 8 8 8 8 7 7 7 6 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 11 11 12 12 13 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 11 11 9 6 4 5 6 7 7 7 7 8 9 11 11 11 11 11 10 9 6 4 4 3 2 2 2 3 3 4 4 4 4 4 5 7 6 6 6 8 9 10 11 11 11 11 11 12 11 10 8 7 7 7 7 7 8 9 9 9 9 10 10 11 10 10 10 9 10 10 10 10 9 9 9 9 9 8 7 6 7 7 8 9 10 10 10 10 12 15 20 24 26 23 18 15 14 14 14 13 13 13 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 nan
nan 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 12 11 9 6 6 7 7 8 8 7 7 8 9 10 11 12 12 12 9 7 6 6 5 4 3 3 3 4 4 4 5 6 7 7 7 7 7 7 8 9 9 9 10 10 11 12 12 12 10 9 9 8 7 6 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 7 8 12 16 23 23 20 16 15 14 13 13 13 12 12 11 11 11 10 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 12 13 13 13 13 12 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 9 10 11 12 12 10 9 9 8 8 7 7 7 8 8 9 11 13 14 13 10 8 7 7 7 6 5 5 5 6 6 6 7 7 7 8 7 7 6 7 7 7 8 8 9 10 11 12 12 12 11 11 11 10 8 7 7 7 6 6 6 6 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 8 8 9 9 8 8 7 7 6 4 3 4 7 13 18 18 16 15 14 13 12 12 12 11 11 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 11 11 10 10 10 9 9 8 8 9 11 12 13 13 13 12 12 11 10 8 8 9 11 13 13 12 11 10 9 8 8 8 9 10 10 11 12 14 14 12 10 9 8 7 6 5 5 5 6 6 6 6 5 6 7 7 7 7 6 6 6 7 7 8 8 10 11 12 12 11 11 12 11 10 9 9 8 7 6 6 6 6 7 8 8 9 9 10 11 11 11 12 12 11 11 10 10 10 9 8 8 8 9 9 9 8 8 7 5 2 -0 1 4 9 12 13 13 13 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
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nan 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 10 13 13 13 12 10 9 8 7 7 7 7 8 8 7 6 7 8 9 9 9 7 6 6 7 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 10 10 11 13 14 14 13 13 12 12 11 11 11 11 11 11 11 12 14 16 15 13 12 10 10 10 10 11 11 12 13 13 13 12 13 12 11 10 10 9 10 10 11 12 14 17 19 19 20 19 19 19 19 19 19 18 17 16 14 12 10 10 10 10 9 10 10 10 11 11 11 12 12 13 13 14 14 14 14 14 14 13 13 13 13 14 nan
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nan 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 13 12 11 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 8 9 9 9 8 7 7 6 6 7 10 12 14 13 12 10 9 9 12 13 13 13 12 11 10 10 9 9 10 10 10 11 11 10 9 10 12 14 15 14 13 12 12 11 10 9 8 8 8 8 9 10 11 12 12 12 11 10 9 9 10 10 11 12 12 13 13 11 10 9 9 11 13 15 18 20 21 21 20 19 18 15 13 12 11 11 11 11 11 11 11 11 12 13 13 14 14 14 14 14 15 15 15 16 nan
nan 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 12 12 13 13 13 13 12 11 11 11 12 12 11 11 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 7 7 7 8 9 10 10 10 9 8 8 9 11 14 15 15 13 11 10 11 14 16 15 13 11 10 10 10 9 9 9 9 10 10 11 11 10 9 11 14 17 19 17 15 14 13 12 11 10 10 9 8 8 8 9 9 10 11 12 11 11 11 10 10 11 11 12 13 13 14 14 13 9 5 3 3 3 6 10 12 15 17 19 19 17 16 14 13 12 11 11 10 10 11 11 12 12 13 14 14 14 14 15 15 16 16 17 nan
nan 8 8 8 9 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 10 9 9 10 10 8 7 7 8 9 10 11 12 11 10 8 8 11 13 14 14 13 11 11 12 14 17 16 14 11 10 10 10 9 9 8 8 9 9 9 10 10 10 10 12 16 20 20 17 14 13 13 13 12 12 12 11 10 9 8 8 7 8 8 10 10 11 11 11 11 11 12 13 14 15 17 19 19 17 13 9 6 5 5 7 9 10 11 14 17 17 17 15 14 13 12 12 11 11 11 12 12 13 14 14 14 15 15 15 16 16 16 16 nan
nan 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 14 13 13 12 11 11 10 10 10 11 10 9 8 8 7 7 7 6 6 6 8 8 8 9 10 10 8 7 8 9 10 10 11 11 9 8 7 8 11 13 14 13 12 12 13 14 15 15 13 12 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 13 15 17 16 13 12 12 12 12 12 12 12 12 10 9 8 7 6 6 7 8 9 10 11 11 11 11 12 12 13 14 15 17 19 22 22 21 19 18 18 19 19 18 17 18 19 20 20 19 17 16 15 13 12 11 12 13 15 17 18 17 16 16 16 16 16 16 16 16 nan
nan 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 5 5 6 8 10 11 11 12 11 11 11 11 11 12 12 12 12 12 13 13 12 13 13 13 13 13 12 12 11 10 9 10 10 10 10 9 8 7 6 5 4 3 3 4 5 6 7 7 8 8 7 8 9 10 10 10 10 8 7 6 7 9 12 14 15 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 10 9 9 10 10 10 11 12 12 11 10 9 8 6 5 6 7 8 9 11 12 12 11 11 11 11 12 12 12 13 14 17 21 23 24 24 25 27 28 27 26 26 26 26 26 26 25 23 21 19 16 14 13 14 17 21 24 23 20 18 18 18 17 17 16 15 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 7 4 2 1 2 5 9 10 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 10 10 9 8 6 5 3 2 2 2 2 3 3 3 2 3 4 6 8 10 11 11 9 9 8 6 6 7 9 12 14 15 14 13 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 8 9 10 11 11 10 9 8 7 7 7 8 8 9 10 11 11 12 12 12 11 11 11 11 11 11 11 12 14 17 19 20 21 21 22 22 22 23 24 25 26 28 30 30 29 27 26 24 20 16 16 21 27 29 26 22 20 19 19 18 17 16 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 7 3 -1 -5 -5 -1 5 9 11 12 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 10 10 10 9 8 6 4 3 3 3 4 4 4 4 2 1 -0 -0 2 6 9 11 11 8 6 6 6 6 6 8 11 13 14 13 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 7 6 6 6 7 8 9 10 10 9 8 8 8 7 8 9 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 14 15 16 17 18 19 21 24 27 29 30 32 32 28 21 18 20 27 31 30 27 24 22 21 19 18 18 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 7 4 -2 -8 -10 -8 -1 6 9 12 14 15 14 13 12 12 12 12 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 9 8 7 5 4 5 6 7 8 7 6 5 3 1 1 2 5 7 10 10 8 4 1 2 3 4 6 9 11 11 11 9 9 9 9 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 8 7 6 6 7 6 5 5 5 7 8 9 9 9 9 8 8 8 8 8 10 11 12 13 12 12 11 11 11 12 12 12 13 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 13 14 16 19 22 24 27 30 31 27 23 22 26 29 29 28 27 26 24 21 20 19 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 6 0 -6 -10 -10 -5 1 6 10 13 16 17 15 14 13 13 12 11 11 10 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 8 7 7 7 7 8 10 10 10 9 8 5 3 3 4 5 7 8 9 9 5 1 -0 0 2 4 6 8 9 8 7 7 7 7 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 9 7 6 5 5 5 6 6 6 5 6 8 9 9 9 8 8 8 8 9 9 9 10 11 12 12 12 12 11 10 10 11 12 12 14 14 14 12 12 11 10 10 10 10 10 12 13 14 14 13 12 11 11 11 11 11 13 14 16 18 20 24 27 27 25 23 24 25 26 27 28 28 26 23 20 19 nan
nan 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 7 4 -3 -9 -10 -6 -1 4 6 9 12 16 18 18 17 16 14 12 11 10 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 10 9 8 8 9 10 11 12 12 12 12 11 9 6 4 4 5 7 7 8 9 8 6 5 4 4 5 5 6 6 5 5 7 8 9 8 8 7 6 5 6 7 9 9 9 9 9 9 9 10 9 8 6 4 2 2 3 4 6 7 8 9 11 12 12 10 8 8 9 9 10 10 11 11 11 12 11 11 11 10 10 9 9 10 11 12 14 15 14 14 13 11 10 10 10 9 10 12 14 16 16 15 13 12 11 11 11 11 13 14 15 16 18 20 21 22 23 24 25 25 24 25 27 28 26 23 20 19 nan
nan 10 10 10 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 6 2 -5 -9 -7 -3 2 5 6 8 10 14 18 21 22 20 15 11 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 11 12 12 13 13 13 12 11 8 5 5 6 7 8 8 8 9 9 9 9 10 10 9 8 7 6 5 7 9 9 9 8 8 6 5 4 5 7 8 8 8 9 9 9 9 8 7 5 4 3 3 4 5 6 8 10 12 14 15 14 12 10 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 8 9 9 10 12 14 14 15 15 14 12 11 10 10 9 10 12 13 16 17 16 14 13 11 11 11 12 14 15 16 17 18 18 19 20 23 27 29 29 27 26 26 25 24 21 19 18 nan
nan 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 6 -1 -7 -8 -5 -1 3 5 7 8 9 12 18 23 25 22 15 11 10 10 9 8 7 8 8 9 9 9 8 8 9 9 9 9 10 9 9 9 10 11 12 12 11 11 11 10 9 8 6 6 8 10 10 9 8 8 8 9 9 10 11 11 11 10 9 9 9 10 9 8 6 5 6 6 5 6 6 7 7 8 8 9 9 9 8 6 5 4 5 7 9 10 10 10 11 13 14 14 14 12 11 10 9 9 9 9 9 8 8 8 8 7 6 6 5 5 6 7 7 7 8 11 13 14 15 16 14 12 11 10 10 9 11 11 13 15 16 15 15 14 12 12 12 13 13 14 15 16 17 17 17 20 25 30 32 31 29 27 25 23 22 20 18 17 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 4 -3 -7 -6 -3 0 3 5 7 8 9 11 16 21 24 22 17 13 11 10 9 8 7 8 8 9 9 9 9 9 9 8 8 9 9 10 9 9 11 12 12 11 10 9 7 4 4 5 7 9 12 12 10 8 8 8 8 9 9 10 11 11 11 11 11 11 12 11 10 7 5 4 5 5 6 7 7 7 8 8 8 8 7 7 6 6 6 7 9 11 12 11 10 10 11 12 12 10 9 9 9 9 9 8 8 7 5 5 4 4 4 4 3 4 4 4 5 5 6 7 8 11 13 15 17 16 13 11 10 10 10 11 11 11 12 14 14 14 15 14 13 12 11 11 11 11 12 13 13 14 17 22 28 31 32 30 28 26 24 22 20 19 17 16 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 7 2 -5 -6 -5 -2 1 4 5 7 8 9 10 13 19 23 23 20 16 13 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 10 9 9 6 3 -1 1 5 9 13 14 11 9 8 8 8 8 9 10 10 11 11 12 12 13 13 13 12 11 10 9 8 7 7 6 6 6 7 8 8 7 5 4 5 5 5 7 8 9 9 7 6 6 7 9 9 7 6 6 7 7 7 8 8 7 6 5 5 5 5 5 4 5 6 7 7 7 7 7 8 10 12 14 17 19 16 13 11 10 9 9 10 10 10 11 12 13 14 14 13 13 12 10 9 8 9 10 11 13 16 21 25 28 30 29 27 25 24 22 20 19 18 17 16 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 7 1 -3 -4 -3 -1 2 3 5 7 8 9 10 12 17 22 25 23 18 14 11 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 10 9 9 9 8 5 1 0 5 10 14 16 14 10 9 9 9 9 9 10 11 11 12 13 14 15 16 17 17 15 14 13 12 12 11 9 8 6 6 7 7 7 7 5 4 4 4 4 5 6 5 4 4 5 7 8 9 8 6 5 5 6 6 5 5 5 5 6 8 9 10 9 8 8 9 10 11 10 10 10 9 9 10 11 14 18 17 15 13 11 8 8 9 9 9 9 10 11 13 14 14 13 12 10 8 7 7 8 9 11 15 21 25 27 28 27 25 23 22 21 19 18 17 16 16 15 nan
nan 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 7 3 -1 -2 -2 -0 1 3 5 7 8 9 9 11 15 20 25 25 20 15 12 10 10 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 7 6 5 7 11 15 16 15 12 9 9 9 10 9 10 11 12 13 15 17 18 19 20 21 20 17 15 13 13 14 14 13 12 10 8 7 6 6 8 8 8 7 6 6 6 6 6 6 8 11 13 14 12 9 7 7 7 7 6 6 5 5 6 9 11 12 11 9 8 8 9 9 10 10 10 9 8 7 7 9 12 15 15 14 11 8 6 7 7 8 8 10 10 12 14 14 13 12 11 8 7 6 7 8 9 11 16 21 24 26 27 25 23 21 19 18 16 16 15 15 14 13 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 8 4 -0 -3 -3 -1 1 3 5 7 8 9 9 10 12 18 25 26 22 17 13 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 9 11 13 14 13 10 8 8 8 9 9 9 9 9 10 12 15 17 18 19 20 21 18 16 15 15 16 17 18 18 18 16 14 11 9 9 10 11 11 11 10 9 9 9 9 11 13 15 15 14 11 9 9 9 9 9 9 8 7 7 9 11 11 10 8 7 7 7 7 7 7 8 7 6 5 4 5 8 12 14 14 13 9 6 5 6 7 7 9 10 10 12 14 14 14 12 10 7 6 5 7 8 9 12 14 17 21 25 26 25 22 19 16 15 14 14 13 13 12 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 8 3 -2 -5 -4 -1 2 3 5 7 8 9 9 10 11 18 27 28 25 19 13 10 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 6 5 6 7 8 8 7 7 7 8 10 12 13 14 14 15 15 13 13 15 17 19 20 21 23 23 22 20 19 18 18 17 16 14 13 11 11 10 10 11 12 13 12 11 8 7 7 8 10 10 10 10 9 9 9 10 9 8 5 5 6 8 8 8 8 7 6 5 5 4 5 7 11 14 16 15 13 9 6 6 6 7 8 9 9 10 12 13 14 14 13 10 7 6 5 7 8 10 11 13 16 22 27 27 24 20 16 14 13 12 12 11 11 11 10 nan
nan 9 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 8 2 -3 -4 -3 -0 2 4 5 7 8 9 9 10 12 21 29 30 27 20 12 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 6 4 2 2 3 5 7 7 7 6 6 7 9 10 10 10 11 11 11 11 12 13 15 17 19 20 22 22 22 22 23 24 24 22 18 15 13 12 11 11 11 11 11 10 9 7 5 6 7 8 10 10 10 10 9 9 9 9 7 5 5 6 9 10 10 10 9 8 7 7 7 9 10 12 15 17 17 16 13 10 9 8 7 8 9 8 8 10 12 13 15 15 12 9 7 6 6 7 8 10 11 12 18 25 28 27 23 17 13 12 11 11 10 10 9 9 8 nan
nan 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 7 1 -2 -3 -2 1 3 4 5 7 8 9 9 11 16 25 31 31 26 17 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 7 5 0 -3 -2 0 4 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 12 12 14 15 16 16 16 16 17 19 20 19 18 15 14 13 12 11 11 11 10 10 10 8 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 11 11 11 11 11 12 14 15 16 18 18 17 16 15 14 13 12 10 9 9 9 8 9 11 12 14 15 15 12 9 7 6 7 8 9 9 10 13 19 25 27 27 20 14 12 11 10 9 9 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 9 5 0 -3 -4 -2 1 3 4 5 6 8 9 10 13 21 30 32 30 23 14 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 3 -3 -7 -5 -1 4 6 7 7 8 8 9 9 9 9 10 10 10 10 11 11 11 12 13 14 13 12 11 10 10 12 12 12 11 11 11 11 10 10 10 9 9 8 7 5 3 2 3 4 5 6 7 9 10 10 11 12 14 15 16 16 16 15 15 14 14 15 15 16 16 17 17 17 18 18 16 15 14 15 15 13 11 10 10 10 9 10 11 12 14 15 13 11 9 7 7 7 9 9 9 10 13 18 22 26 25 20 15 12 10 9 8 8 8 8 7 7 nan
nan 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 8 9 10 9 5 -0 -3 -4 -1 2 4 4 5 6 8 9 12 17 27 33 32 25 17 11 9 9 10 10 10 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 9 8 9 9 8 8 7 6 1 -6 -7 -5 -1 3 7 8 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 14 13 11 9 7 6 7 7 7 6 6 6 6 6 6 6 6 5 3 1 -1 -4 -5 -4 -3 -2 -1 1 4 7 9 11 14 15 16 17 18 18 18 17 17 17 17 17 17 16 15 14 14 14 15 15 14 13 14 15 15 14 12 11 10 10 10 10 11 12 14 14 13 11 8 7 7 8 9 10 10 10 12 15 18 24 25 22 18 13 10 9 8 8 8 8 8 8 nan
nan 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 8 5 2 -0 -1 2 3 4 4 5 6 7 9 14 22 31 33 27 19 13 10 10 11 11 11 10 9 9 9 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 7 5 -2 -6 -6 -4 -1 5 9 12 14 14 12 10 10 10 10 11 11 12 12 12 11 12 12 13 11 10 9 9 9 9 7 5 4 3 2 1 1 1 1 -1 -2 -4 -5 -6 -7 -6 -4 -3 -3 -4 -3 -1 2 6 9 12 14 14 15 15 16 16 16 16 16 16 16 15 13 12 11 11 12 12 12 11 12 14 15 15 14 12 11 10 9 10 9 10 12 13 14 13 10 8 7 8 9 10 10 10 10 11 12 16 21 24 23 21 15 10 9 9 9 8 8 8 8 nan
nan 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 2 1 3 4 4 4 5 6 7 10 15 24 31 28 20 14 11 11 11 11 11 10 9 9 10 11 12 12 12 12 12 11 11 10 9 8 7 5 5 5 6 7 7 8 8 3 -3 -6 -6 -3 2 7 10 14 17 16 13 11 11 11 11 11 11 12 12 11 11 11 12 13 13 14 15 16 16 14 11 8 6 5 3 2 2 1 0 -2 -3 -4 -3 -2 1 3 5 4 3 2 1 1 2 3 3 3 5 9 11 13 13 12 12 12 12 12 12 11 11 10 9 10 10 10 10 10 12 14 15 15 13 12 10 10 9 9 9 9 11 13 13 13 10 8 8 8 9 10 10 10 9 9 10 14 17 20 23 22 17 13 11 9 8 9 9 9 8 nan
nan 9 10 10 10 9 9 10 9 9 9 10 10 9 9 9 9 9 8 8 9 8 6 3 2 3 4 4 4 5 6 7 10 15 24 28 23 18 14 12 12 11 10 9 8 9 10 11 12 13 13 13 12 12 11 11 9 7 3 1 1 2 4 6 8 9 9 7 1 -4 -6 -6 -1 4 7 11 15 19 19 15 13 12 11 11 11 11 11 11 10 10 11 12 14 15 17 19 19 17 14 12 10 10 10 9 8 8 7 5 4 3 4 5 7 9 10 11 11 12 12 12 11 8 6 2 2 4 8 11 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 11 12 14 15 15 14 12 11 11 10 9 9 9 11 13 13 12 10 8 8 8 10 10 10 10 9 9 10 11 13 15 21 23 20 18 13 9 8 9 9 9 8 nan
nan 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 6 4 2 3 3 4 4 4 5 7 10 15 22 25 22 19 16 14 12 10 8 7 8 9 10 12 13 14 14 13 11 11 11 10 7 2 -4 -5 -3 0 5 8 9 9 9 6 -0 -5 -7 -4 2 5 8 11 17 22 21 17 14 12 12 12 12 12 12 11 11 11 12 13 14 15 16 16 14 13 12 12 12 13 14 14 13 13 13 12 11 10 11 11 12 13 14 15 16 18 20 20 18 15 12 10 11 13 14 13 11 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 12 13 14 15 14 14 13 12 11 10 9 9 9 11 12 13 12 10 9 9 9 10 10 10 10 9 9 9 9 10 13 19 21 21 20 14 9 8 8 8 8 8 nan
nan 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 8 6 3 2 3 4 3 4 5 6 9 14 21 23 22 20 17 14 11 9 8 8 9 10 12 13 14 14 14 12 11 11 11 9 6 -0 -4 -4 -1 3 8 10 10 9 8 3 -3 -7 -7 -2 3 6 9 12 19 23 20 17 14 12 12 13 13 13 13 13 13 13 14 14 15 14 13 11 9 9 10 11 13 15 16 17 18 18 18 18 17 16 15 16 16 17 19 22 24 26 26 24 21 19 17 17 18 18 16 12 9 8 8 8 9 11 11 11 11 10 10 11 11 10 10 12 12 12 13 13 14 15 15 14 12 10 9 8 9 10 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 12 15 17 19 18 12 7 6 7 8 8 8 nan
nan 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 4 3 3 3 2 3 4 6 9 13 19 21 23 22 18 14 12 10 9 9 10 12 13 14 14 13 12 11 11 11 11 10 7 3 1 2 3 5 8 9 7 5 2 -3 -7 -9 -5 1 5 8 9 13 19 21 20 17 14 12 13 13 14 14 14 14 14 14 15 15 14 12 10 8 7 7 8 10 12 14 16 17 19 21 21 21 20 19 20 21 23 25 28 29 31 31 28 24 21 19 19 21 22 22 19 14 11 10 10 11 13 14 13 13 12 12 12 12 12 11 12 11 11 11 11 12 14 16 18 16 13 10 8 7 8 10 11 11 11 10 10 10 9 8 8 7 7 7 8 9 10 11 11 12 14 15 13 8 5 5 7 8 7 7 nan
nan 10 10 10 9 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 8 5 3 2 1 1 2 4 7 9 12 16 21 25 24 18 14 12 10 10 10 11 12 13 13 12 11 11 12 13 12 11 10 8 6 7 6 5 5 6 5 3 0 -4 -8 -9 -6 -1 4 7 9 10 14 18 20 19 16 13 13 13 14 14 15 15 14 14 15 15 14 12 10 8 7 7 7 8 9 10 11 12 14 15 17 18 18 19 20 22 24 26 29 29 29 29 28 25 22 21 21 23 25 27 28 25 21 17 15 15 16 17 16 15 14 13 13 12 12 12 12 12 11 10 10 10 12 15 19 20 17 13 9 7 7 8 9 10 11 11 10 10 9 8 7 6 5 5 5 6 8 10 12 12 12 13 12 10 7 6 8 10 9 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 10 39 70 93 105 112 124 138 150 164 174 178 176 169 157 146 137 125 117 114 111 106 100 92 89 89 90 92 95 104 120 134 140 139 142 143 145 152 163 171 181 188 202 215 222 223 233 240 240 237 229 226 222 214 210 208 204 203 193 195 190 178 176 172 170 181 182 180 177 171 165 170 178 196 207 204 184 167 169 185 196 213 200
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