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 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 6 6 6 5 5 6 6 7 7 8 11 15 18 18 15 11 8 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 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 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 5 6 6 6 6 7 9 12 16 19 18 13 9 7 7 7 7 7 8 8 7 7 6 6 7 7 7 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 6 6 6 5 5 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 7 9 13 18 20 16 12 8 7 7 7 7 8 8 7 7 6 6 6 7 7 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 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 nan
nan 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 7 6 6 6 6 6 6 7 8 11 16 20 19 15 11 8 7 7 7 8 8 8 7 7 6 6 7 7 7 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 5 6 6 5 5 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 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 6 6 6 6 7 8 10 14 18 20 20 16 11 8 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 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 5 6 6 6 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 nan
nan 9 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 7 7 7 6 6 7 7 9 11 15 19 22 21 17 12 9 8 8 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 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 nan
nan 9 8 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 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 7 7 6 6 6 7 8 9 11 15 19 22 22 18 14 11 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 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 nan
nan 9 9 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 9 8 8 7 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 7 6 6 6 6 7 7 8 10 14 19 22 23 20 17 14 13 11 10 10 10 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 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 nan
nan 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 7 7 7 6 5 6 7 7 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 8 9 13 17 20 22 22 20 19 16 13 11 10 10 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 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 nan
nan 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 5 6 6 7 7 7 7 6 6 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 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 7 7 6 6 6 6 7 7 8 11 14 17 20 22 23 21 18 14 12 10 10 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 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 nan
nan 8 7 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 7 7 7 7 6 6 7 7 7 8 9 11 14 18 22 24 23 19 16 12 11 10 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 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 nan
nan 7 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 9 8 8 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 10 13 17 21 24 24 22 17 13 11 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 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 nan
nan 7 7 6 7 7 6 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 7 7 8 8 8 8 7 8 8 7 6 6 6 6 6 6 7 8 9 12 16 20 25 26 24 19 15 12 10 10 10 10 10 10 9 9 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 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 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 7 6 6 7 7 7 8 8 8 8 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 9 9 9 8 7 6 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 7 7 8 10 14 19 24 27 25 21 17 13 11 10 10 10 10 10 10 9 9 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 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 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 6 6 6 7 8 9 12 17 23 27 26 22 17 13 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 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 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 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 6 7 7 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 11 16 22 26 25 21 16 13 12 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 8 8 9 9 9 8 8 7 7 7 7 6 7 7 6 7 7 10 15 21 25 23 20 16 14 13 12 11 11 12 11 11 11 11 10 10 9 9 9 8 8 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 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 nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 7 7 7 7 7 7 7 6 6 7 11 16 22 24 22 19 17 14 13 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 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 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 nan
nan 6 6 6 6 6 6 7 8 8 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 8 12 17 21 23 22 20 17 15 13 13 13 12 12 12 11 11 11 11 10 9 9 9 8 8 8 7 7 7 7 7 7 7 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 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 nan
nan 7 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 9 8 7 6 6 6 6 7 7 7 8 8 7 6 6 6 7 7 7 6 7 9 12 16 20 23 24 22 19 18 17 16 15 13 12 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 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 nan
nan 7 7 6 6 5 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 9 11 15 19 21 22 23 23 23 22 20 16 13 12 11 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 nan
nan 8 8 7 6 5 5 6 6 7 7 8 8 8 7 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 10 13 15 17 19 21 24 26 25 20 16 13 12 11 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 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 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 5 5 6 6 6 7 7 8 8 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 8 9 10 10 10 9 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 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 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 7 8 8 9 10 11 14 19 24 26 24 21 17 14 12 11 11 10 10 10 10 10 9 9 9 9 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 7 7 7 7 7 8 7 7 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 nan
nan 9 9 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 9 9 9 8 8 8 8 7 7 8 9 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 6 6 6 8 12 18 23 25 25 22 18 15 13 12 11 11 11 10 10 10 10 10 9 9 9 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 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 9 9 8 7 6 6 6 7 7 7 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 9 9 9 8 8 7 7 7 7 6 6 6 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 9 9 9 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 9 9 9 8 7 6 6 6 5 5 5 6 8 12 17 22 25 25 23 19 16 13 12 11 11 11 11 11 10 10 10 10 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 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 11 10 9 8 7 6 6 6 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 8 8 7 7 7 7 5 5 7 8 9 9 9 9 8 7 6 6 5 5 6 6 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 6 6 6 6 6 6 7 8 11 15 21 25 26 25 21 17 15 13 12 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 11 11 10 9 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 10 8 8 9 9 8 7 7 7 6 5 6 7 8 9 10 10 9 7 6 5 5 5 4 5 5 5 6 7 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 7 10 14 19 24 27 26 24 21 18 16 15 14 13 12 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 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 8 8 9 9 10 10 10 10 nan
nan 11 11 10 9 9 8 7 6 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 8 8 8 7 7 6 6 6 7 9 10 10 9 8 6 6 5 4 4 4 5 5 5 6 7 8 8 9 9 10 10 10 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 7 9 12 17 22 26 27 26 24 23 23 22 19 16 13 12 12 11 11 11 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 nan
nan 11 11 11 10 10 9 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 6 6 7 8 9 10 9 8 7 6 6 5 5 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 8 7 7 6 6 6 6 6 7 8 11 15 19 23 25 25 26 28 29 28 24 19 15 14 13 12 12 11 11 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 nan
nan 10 11 11 10 10 10 9 8 7 7 7 6 7 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 6 6 7 8 9 9 8 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 7 8 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 7 7 8 8 8 7 6 6 5 6 6 7 8 9 12 15 17 19 20 23 26 29 27 24 20 17 15 14 13 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 nan
nan 9 9 9 9 9 10 10 9 8 7 7 7 7 8 8 8 9 10 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 7 6 6 7 8 8 7 7 7 8 8 8 8 7 6 5 5 5 5 4 4 4 5 7 8 9 10 10 10 9 8 8 7 6 7 7 6 6 6 7 8 8 7 7 7 7 7 8 8 8 7 8 9 10 10 10 10 8 8 8 9 9 9 8 8 7 6 6 6 6 7 7 8 9 10 12 13 15 18 22 24 23 21 19 17 16 15 14 13 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 nan
nan 9 9 9 9 9 9 10 10 9 8 7 8 8 7 7 8 8 9 9 9 8 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 5 5 5 5 6 8 9 10 11 12 11 10 9 8 7 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 8 7 7 8 9 9 10 11 10 10 10 9 9 9 9 9 8 8 7 6 6 7 7 7 7 8 9 10 12 14 16 18 19 19 19 18 17 16 15 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 nan
nan 7 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 13 14 13 12 10 9 7 6 6 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 9 10 11 11 11 10 10 9 9 9 9 9 8 7 6 7 7 7 7 8 8 9 12 15 16 16 17 18 18 17 17 17 16 15 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 8 8 nan
nan 3 5 6 6 7 7 8 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 7 7 8 7 7 5 5 5 4 4 4 5 6 7 8 8 8 8 7 7 7 7 7 6 5 5 6 8 9 10 10 10 10 11 10 9 8 8 8 8 10 12 14 15 14 13 12 10 8 7 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 8 7 7 7 7 7 8 8 8 10 12 15 16 17 18 19 19 17 16 16 16 16 15 14 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 7 7 7 7 nan
nan 2 2 4 4 5 5 6 7 8 8 8 7 6 6 6 5 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 6 6 5 4 3 3 4 5 6 6 7 8 9 9 8 7 7 7 6 5 5 4 5 6 7 8 8 8 8 8 7 7 7 7 7 8 10 12 13 14 14 14 13 11 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 10 10 10 10 10 9 8 8 7 7 7 8 8 9 11 12 14 15 16 18 21 21 20 18 17 16 16 15 15 14 14 14 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 7 7 7 7 7 nan
nan 3 2 3 4 4 4 4 4 5 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 11 10 10 9 8 8 8 7 5 4 3 4 5 5 5 6 7 9 11 11 9 8 8 8 7 5 4 3 3 3 4 4 5 6 6 7 8 9 9 8 8 9 10 11 12 13 14 14 14 12 10 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 9 11 12 11 11 12 15 18 21 22 21 19 16 15 15 15 15 15 15 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 nan
nan 5 4 5 5 5 5 4 4 4 4 5 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 9 9 10 10 8 5 4 5 6 6 5 5 6 8 11 13 11 10 10 9 9 7 5 3 3 1 1 1 1 3 6 8 9 10 10 8 8 8 8 8 9 11 12 13 13 13 11 11 11 11 10 9 7 6 6 5 5 6 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 8 9 10 9 8 8 10 13 17 20 23 22 18 15 15 15 15 15 15 15 14 13 12 12 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 8 7 7 6 6 6 6 7 8 nan
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nan 12 11 10 9 9 9 9 8 7 6 5 5 5 6 6 7 7 7 7 7 7 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 7 5 4 4 4 6 8 10 12 13 12 10 9 8 7 5 4 4 3 2 1 0 1 1 2 2 2 1 1 1 2 3 5 8 10 12 14 15 15 14 13 13 13 13 12 11 10 9 8 7 6 6 7 7 8 8 8 8 8 9 9 9 10 10 11 10 9 8 8 7 6 7 8 8 8 8 8 8 8 7 5 3 5 8 12 14 15 15 14 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 5 5 6 7 10 12 15 nan
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nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 14 13 13 12 11 11 11 12 11 11 12 12 13 13 13 12 11 10 10 10 11 11 11 11 10 9 10 10 10 10 10 9 9 9 9 9 9 8 7 6 5 6 7 9 10 12 12 12 10 7 5 4 5 8 10 12 13 13 14 15 14 12 11 10 9 8 7 6 7 9 10 9 7 8 8 9 9 9 9 9 8 7 7 7 8 9 9 10 10 10 9 10 10 10 10 11 12 14 15 16 15 13 11 11 11 11 13 16 21 24 21 14 10 9 10 9 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 8 8 8 9 10 10 10 10 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 10 12 13 13 12 12 11 11 11 11 11 12 13 13 14 14 14 12 11 10 10 10 10 10 9 10 11 11 10 10 10 10 11 10 11 11 10 9 8 7 6 6 7 8 9 10 10 10 9 9 10 10 10 11 13 14 15 15 15 12 10 8 8 8 12 20 24 20 14 10 12 14 12 9 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 8 8 9 9 10 9 9 9 9 9 10 11 11 11 10 11 11 12 13 13 13 12 12 11 11 12 13 14 14 15 14 13 12 12 11 11 11 11 11 12 12 11 12 13 14 14 13 12 12 12 12 12 12 13 12 11 10 10 10 11 12 12 12 13 15 17 17 16 14 14 14 14 13 13 11 10 9 10 12 13 14 15 14 14 14 13 13 13 12 12 12 12 12 12 12 11 10 8 7 6 6 6 7 9 10 10 9 8 9 9 10 11 11 13 14 16 16 16 14 12 10 9 12 18 21 16 10 9 14 17 15 11 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 nan
nan 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 9 8 7 6 7 7 8 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 12 13 14 14 13 12 12 11 11 11 12 13 13 13 13 13 12 11 10 10 9 9 10 10 11 11 13 14 15 14 13 13 12 12 12 12 12 11 10 9 10 10 11 11 11 12 13 14 16 17 17 15 14 14 14 13 12 11 10 9 10 11 13 15 16 17 16 15 15 14 15 15 14 12 11 11 12 13 12 12 12 10 8 7 6 6 7 8 10 10 9 7 7 8 9 10 11 11 12 13 15 16 17 16 14 13 15 19 19 15 10 10 15 17 16 13 10 8 7 7 7 7 7 7 7 8 10 10 10 8 8 9 9 9 8 8 8 nan
nan 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 8 7 6 5 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 11 10 11 11 11 12 12 12 12 11 10 8 7 7 7 7 7 8 9 11 12 12 11 12 13 13 12 12 11 10 8 8 9 10 12 13 12 12 12 13 13 13 13 13 13 13 14 14 13 11 10 10 10 11 12 13 14 14 13 13 13 12 12 14 15 14 12 10 9 11 11 12 12 12 11 10 9 8 7 7 8 10 10 9 8 7 7 8 9 10 10 10 11 12 13 14 15 15 15 15 17 16 14 12 14 16 18 18 16 15 13 11 10 9 7 6 6 6 9 14 16 14 10 8 9 9 9 8 8 8 nan
nan 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 8 6 4 4 5 7 8 8 8 8 9 9 9 10 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 11 11 11 11 11 11 10 9 8 7 6 6 6 6 6 6 7 8 7 6 7 9 12 14 13 12 10 9 8 8 10 12 14 14 13 12 12 11 11 10 11 12 13 14 14 14 13 11 11 11 12 13 13 12 11 10 9 9 9 9 9 11 12 12 11 9 8 8 9 10 11 12 12 12 11 10 9 9 9 10 11 10 9 8 7 7 8 9 10 11 10 10 10 10 11 12 12 13 13 12 12 13 14 16 17 18 18 19 20 19 17 14 12 10 6 4 6 14 20 20 15 11 9 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 9 7 4 2 1 2 5 7 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 11 11 11 10 10 10 10 11 11 11 11 10 9 9 8 8 7 7 8 8 9 9 9 9 7 6 4 4 6 8 10 10 9 8 8 8 10 11 12 13 13 12 11 11 10 10 10 11 12 13 14 14 13 12 11 11 12 13 13 12 11 9 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 10 11 12 12 12 12 11 11 11 11 11 11 11 9 8 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 16 18 22 24 22 19 19 18 14 7 6 11 19 23 20 17 13 11 10 9 8 8 nan
nan 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 10 10 11 11 11 9 7 4 1 -1 -0 2 6 8 9 9 10 10 10 10 10 11 12 11 11 10 10 9 8 8 8 9 10 11 11 10 10 10 10 10 11 11 11 10 9 9 9 10 11 11 11 12 12 12 13 13 12 11 9 7 5 4 4 3 3 3 4 6 8 10 11 10 9 8 8 8 8 8 9 10 11 12 12 13 12 11 11 11 12 13 13 13 11 8 7 6 7 7 6 6 6 6 6 6 6 7 8 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 10 9 9 10 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 14 17 20 19 19 20 22 21 15 10 12 18 23 24 23 20 18 14 11 9 8 nan
nan 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 11 11 11 10 8 5 2 -1 -1 1 5 7 8 9 9 9 9 9 10 11 11 11 11 10 10 9 8 7 7 7 9 11 11 10 10 10 10 11 11 11 11 11 10 9 9 10 13 14 15 15 15 14 14 14 14 14 14 13 11 9 6 3 -1 -2 -1 0 3 7 9 9 8 6 5 4 4 5 6 7 9 9 10 11 11 11 10 10 11 12 13 13 11 9 6 5 5 6 8 8 7 6 6 5 5 5 6 8 10 10 9 9 9 10 10 10 10 11 11 12 12 12 11 10 10 11 10 10 11 12 13 12 11 11 10 10 9 9 9 10 10 9 9 10 10 10 10 10 11 12 14 14 14 16 19 20 17 14 14 17 19 22 23 23 21 18 14 11 9 nan
nan 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 7 3 0 -1 0 4 7 8 9 9 9 9 9 10 11 12 11 11 11 10 10 9 7 7 7 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 10 12 15 16 17 17 16 15 14 14 14 14 14 14 13 13 11 7 4 1 0 1 2 4 4 4 5 5 5 5 4 4 4 5 5 6 8 9 10 10 10 10 11 12 12 12 10 7 5 4 5 7 9 10 10 9 7 6 5 6 7 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 12 14 14 13 12 10 10 9 8 7 8 10 10 10 10 9 9 9 9 8 9 10 10 10 11 12 13 14 15 16 18 18 16 15 15 17 18 17 14 12 10 nan
nan 9 9 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 9 8 5 1 -1 -0 2 5 7 8 8 9 9 10 11 12 13 13 11 11 11 11 10 8 7 7 8 10 11 11 9 9 8 9 9 10 9 9 8 9 9 10 12 13 15 16 16 16 15 15 14 14 14 14 15 15 15 15 14 12 10 9 7 7 7 5 4 2 3 4 5 6 6 5 4 3 3 4 6 7 8 9 10 11 11 12 11 10 8 8 8 8 8 9 10 11 12 12 10 9 8 8 9 10 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 9 12 14 14 13 11 10 9 8 7 6 7 9 11 11 10 9 9 8 8 7 8 8 8 9 9 10 10 11 13 17 20 19 16 11 9 10 12 13 13 12 11 nan
nan 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 7 4 -0 -1 1 4 6 7 7 7 8 9 11 13 14 14 13 11 11 11 11 10 7 7 8 9 11 11 10 9 8 8 9 9 9 9 8 8 9 10 12 12 13 12 13 13 12 11 11 12 13 14 15 16 16 16 16 15 14 14 14 14 14 13 11 9 7 5 5 4 3 4 5 4 3 4 5 6 6 7 8 10 10 11 11 10 8 8 10 13 14 15 14 12 11 12 12 12 10 10 11 12 12 10 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 9 12 13 14 12 11 10 9 7 6 6 7 9 10 11 10 10 9 8 8 7 7 8 8 8 9 9 10 11 14 19 21 19 14 10 8 8 10 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 6 2 -1 -0 2 5 7 7 7 7 7 9 12 14 15 15 13 12 12 12 11 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 8 8 10 11 12 12 11 10 9 8 7 7 8 10 12 14 15 15 16 16 17 16 16 16 16 16 17 16 16 15 13 11 8 6 4 3 3 3 3 5 7 8 7 7 7 8 8 9 9 8 8 9 12 15 16 17 16 14 11 11 11 11 11 11 12 14 13 11 9 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 7 8 10 11 13 13 12 11 10 8 7 6 6 7 8 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 13 16 18 19 16 12 9 9 9 9 10 10 10 11 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 4 1 0 1 3 6 7 7 6 6 7 9 12 14 16 16 15 14 13 11 10 9 9 9 9 10 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 6 4 3 5 8 10 12 12 12 13 13 14 16 17 17 16 16 16 17 18 18 18 17 16 14 13 11 9 7 5 4 5 7 8 8 8 6 5 5 5 6 6 7 9 10 12 13 14 14 12 11 9 10 10 9 9 10 12 13 13 11 9 8 8 9 8 9 10 10 9 7 5 5 5 5 6 8 10 11 13 14 12 11 10 9 8 7 6 6 7 8 10 10 10 10 9 8 8 8 8 9 9 11 12 13 15 16 16 16 15 12 10 9 9 9 9 9 10 10 10 nan
nan 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 7 5 3 2 2 4 6 7 7 7 7 8 10 13 15 16 17 17 15 13 11 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 7 5 3 5 8 11 12 11 10 10 11 11 12 14 16 16 16 16 17 18 19 20 20 20 19 18 17 16 15 12 10 7 6 7 8 8 8 7 5 4 3 4 5 6 6 7 7 9 11 12 12 11 10 10 9 9 8 8 9 11 12 12 10 9 9 9 10 10 10 10 8 6 5 5 5 5 7 9 11 13 15 15 13 11 9 8 7 7 6 6 7 9 10 11 11 10 9 8 8 8 8 9 10 11 13 16 19 19 17 15 13 10 9 9 9 9 9 9 9 9 9 nan
nan 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 6 5 4 4 4 5 6 7 7 8 9 11 12 14 16 18 17 15 12 10 10 9 9 10 11 12 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 10 9 7 7 7 9 12 13 12 11 10 10 10 10 11 12 14 15 16 17 18 20 21 21 21 20 18 17 16 16 16 15 14 11 10 9 8 7 7 8 7 7 6 6 6 7 7 7 8 11 13 14 15 14 12 12 11 11 9 8 8 9 10 10 9 9 9 10 10 9 8 7 7 6 6 6 6 6 7 9 11 13 16 16 14 11 8 7 7 6 6 7 8 10 11 12 11 10 9 8 7 8 8 9 10 11 13 16 19 20 20 18 15 12 10 9 9 9 9 9 9 8 8 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 8 7 5 4 3 4 5 6 7 8 9 10 11 12 14 16 18 17 14 11 9 9 9 9 10 11 11 11 11 11 10 9 8 9 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 10 10 10 10 10 10 10 11 12 13 14 15 16 17 18 18 18 16 15 14 15 15 16 16 16 16 15 14 12 10 9 10 10 10 10 10 10 10 10 11 13 14 14 15 16 16 15 15 14 14 12 10 9 8 8 8 7 7 9 11 11 9 8 6 5 4 5 6 7 7 8 9 11 15 17 17 15 12 8 7 6 5 5 7 9 10 12 13 12 10 9 8 7 8 8 9 11 11 12 13 15 18 22 23 20 16 12 9 9 9 9 8 8 8 7 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 7 4 3 3 4 5 7 8 9 10 11 11 12 13 16 18 17 15 12 10 9 9 9 10 10 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 14 13 13 12 13 15 16 17 18 18 19 19 19 19 18 16 14 13 12 12 12 11 11 11 13 13 13 12 12 13 15 16 17 17 16 14 12 11 9 7 5 5 6 9 11 11 10 8 7 5 3 3 5 8 9 9 10 13 17 19 19 16 11 9 7 6 5 5 6 8 10 12 13 12 11 10 8 8 8 9 9 11 11 11 10 12 17 23 25 22 17 12 10 9 9 8 8 8 7 7 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 8 6 4 3 4 5 6 7 9 10 11 11 12 12 13 17 19 18 16 13 10 9 9 9 10 10 11 10 10 10 10 10 9 9 9 8 9 9 10 10 10 9 9 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 15 16 17 18 18 18 19 20 20 19 17 14 12 12 11 11 11 12 13 12 11 10 10 12 14 16 18 18 16 15 14 12 9 7 5 5 6 8 10 11 10 9 8 6 5 4 5 8 10 11 12 15 19 20 20 16 13 10 9 7 6 6 6 7 10 12 13 12 11 10 9 9 9 9 10 11 11 10 10 12 18 24 25 21 15 11 10 9 9 8 8 8 7 7 nan
nan 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 7 6 5 4 5 6 7 8 9 10 11 12 12 12 14 17 19 18 16 12 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 10 11 11 10 10 10 11 12 11 10 10 9 7 5 5 6 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 14 15 15 14 14 14 15 15 14 13 11 10 10 10 10 10 11 11 12 12 11 11 12 13 15 17 17 17 16 14 12 10 9 8 9 8 9 10 11 11 10 9 8 8 9 9 9 10 11 13 16 19 20 19 17 15 12 10 8 8 7 6 7 10 12 13 12 11 10 10 10 10 10 11 11 10 10 10 13 19 24 26 21 14 11 10 9 9 8 8 7 7 7 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 6 5 4 4 5 6 8 9 9 11 11 12 12 12 16 19 20 18 15 11 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 11 11 11 11 11 12 12 11 10 10 8 4 2 2 4 6 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 11 11 11 13 14 15 16 16 14 12 11 10 11 13 13 12 13 14 14 13 12 11 11 10 10 10 10 10 11 14 16 18 18 18 16 12 10 9 8 7 7 8 11 12 13 12 10 10 10 10 11 11 11 11 10 9 10 13 17 23 26 23 17 13 10 9 8 8 8 7 7 7 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 9 7 5 4 4 5 7 8 9 10 11 11 11 12 14 18 21 20 17 13 10 9 10 11 11 11 11 10 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 12 12 12 11 10 9 5 1 -0 0 2 5 6 8 10 11 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 10 8 6 4 3 4 5 5 5 6 7 6 6 6 6 7 7 7 7 7 7 7 7 9 10 11 13 13 13 13 12 11 11 13 16 16 17 17 17 16 15 14 12 10 9 8 8 9 10 11 13 15 17 17 15 12 9 9 9 8 8 10 11 12 13 11 10 10 11 11 11 12 11 11 10 9 9 11 14 21 27 26 22 16 10 8 8 8 7 7 7 7 nan
nan 10 10 10 11 10 10 11 11 11 10 11 11 10 10 10 9 9 9 10 9 8 7 6 6 7 8 9 9 10 11 11 10 12 15 20 20 17 14 11 10 11 12 13 12 11 10 10 10 11 11 10 10 9 9 9 9 10 10 11 10 10 10 11 11 10 10 9 8 4 1 0 1 2 5 7 9 12 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 10 9 8 7 7 6 6 6 6 6 6 5 4 4 3 2 3 3 2 2 1 2 3 4 5 5 6 7 8 9 11 12 11 11 13 15 17 18 18 17 17 15 14 12 9 7 6 7 7 8 10 11 13 15 16 14 11 9 8 8 8 9 10 12 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 12 18 24 27 27 20 12 9 8 7 7 7 7 8 nan
nan 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 8 8 8 9 9 10 10 10 9 9 11 15 18 17 13 11 11 12 13 13 13 11 10 10 10 11 11 11 10 9 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 7 3 1 -0 1 3 6 8 11 14 15 13 13 12 11 11 10 10 11 11 11 11 11 11 11 12 13 14 16 17 16 14 12 11 10 9 7 5 4 3 2 1 1 1 1 2 3 3 4 4 4 4 3 3 4 6 8 9 10 12 13 14 16 16 15 15 14 12 10 8 7 6 6 7 8 9 10 12 14 15 13 10 8 8 8 9 9 10 12 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 14 19 25 28 24 17 12 8 7 7 7 8 8 nan
nan 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 8 9 9 10 10 9 8 8 9 14 16 14 12 12 12 13 13 12 11 9 10 10 11 11 11 10 9 9 8 9 9 9 8 6 4 4 5 7 9 10 10 11 10 6 2 -0 -1 1 4 6 8 11 15 16 15 13 12 11 11 10 10 11 10 10 10 10 11 12 14 16 19 22 22 22 21 19 18 16 14 12 11 9 7 6 5 5 5 6 7 8 8 8 8 9 8 6 3 2 1 2 4 7 10 12 13 13 13 12 12 11 10 9 8 6 5 6 6 7 8 10 12 13 13 12 9 8 8 8 9 10 10 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 10 10 10 13 21 27 25 22 15 9 7 8 8 9 9 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 8 8 9 9 8 7 6 6 8 12 15 15 15 15 15 13 11 10 8 8 9 11 11 11 10 10 9 8 8 9 9 8 5 1 0 1 3 6 9 11 11 11 8 4 0 -2 -1 2 4 6 8 13 18 18 16 14 12 11 11 11 11 11 10 10 10 11 12 13 14 15 17 18 19 20 21 22 21 19 18 16 15 14 13 12 12 12 12 12 12 13 13 13 14 14 14 12 9 6 2 0 1 3 7 10 11 11 11 10 10 9 9 9 8 6 6 6 6 7 8 10 11 12 11 10 9 8 8 9 9 9 10 11 12 12 13 12 11 10 10 10 11 11 11 11 11 11 10 10 9 10 16 22 25 24 18 12 10 10 10 11 11 nan
nan 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 5 4 3 6 11 15 17 18 17 15 12 10 9 8 9 10 11 12 11 10 9 8 8 9 10 10 8 5 2 2 3 5 8 11 11 10 9 6 1 -2 -4 -1 2 4 6 9 15 19 19 17 14 12 11 11 11 12 11 11 11 12 12 13 13 13 13 13 12 13 15 17 19 20 20 20 19 18 18 18 18 18 18 18 18 17 18 19 20 20 20 19 18 16 13 8 3 1 1 4 7 9 10 10 9 8 9 9 9 8 7 6 6 7 7 8 10 11 11 11 10 9 9 10 10 9 9 9 11 12 13 13 12 11 10 10 10 10 11 11 10 10 10 10 10 9 9 12 16 22 24 21 17 15 15 16 16 15 nan
nan 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 11 11 10 10 9 8 8 7 6 4 3 2 1 4 10 15 19 20 18 14 11 10 9 9 11 12 12 12 11 10 9 9 10 11 11 11 10 8 8 8 8 8 10 10 9 7 4 0 -4 -6 -4 -1 3 4 6 10 16 18 18 17 14 12 12 12 12 12 12 12 12 13 13 13 13 13 12 10 9 8 9 11 14 16 18 19 19 19 20 21 22 22 23 24 24 25 26 27 27 26 26 25 24 22 19 14 8 3 2 3 6 8 9 9 8 8 8 9 9 8 7 6 6 7 8 10 11 11 11 10 9 9 11 11 9 8 7 9 10 12 13 13 11 10 10 10 10 9 9 9 9 8 8 9 10 9 9 10 12 17 21 21 20 20 21 23 23 21 nan
nan 10 10 10 9 9 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 11 11 10 9 8 7 5 4 2 1 0 0 3 9 16 22 23 18 14 12 10 10 10 11 11 12 11 10 9 9 10 12 12 12 11 10 11 12 12 10 9 9 7 5 2 -2 -5 -7 -5 -2 2 4 5 7 11 16 18 18 16 13 12 12 13 13 13 13 12 12 13 13 13 13 12 11 9 7 7 7 9 10 12 13 13 15 16 17 19 20 22 24 27 29 31 32 32 31 30 30 31 31 30 27 20 13 7 5 6 7 7 8 8 8 8 9 9 9 8 7 6 6 7 9 10 11 11 11 10 9 10 11 10 8 5 6 8 10 11 12 11 11 10 10 10 10 9 8 8 7 6 6 8 9 10 10 10 11 13 16 17 17 19 22 24 25 25 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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16 15 13 12 9 10 11 10 8 5 3 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 1 1 1 1 2 1 1 1 1 2 1 1 2 3 4 4 6 5 5 5 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 23 35 52 76 73 92 120 148 175 202 228 257 285 321 355 379 401 428 458 493 520 547 597 667 711 729 745 775 811 845 889 942 962 946 929 946 975 958 910 880 853 833 830 791 714 648 609 582 551 514 484
18 18 18 17 16 16 16 16 15 14 12 11 9 8 6 4 2 0 0 0 0 0 0 1 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 1 1 2 2 2 1 2 3 1 5 6 5 5 4 3 2 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 0 0 4 11 20 35 63 74 95 117 139 165 194 224 261 302 346 396 449 489 531 581 618 631 635 669 719 760 790 825 871 900 917 943 986 1000 966 926 925 958 953 908 844 795 797 808 745 660 595 559 527 486 451 434
19 20 21 20 19 18 17 18 18 19 19 18 17 16 14 13 11 8 3 1 0 1 1 2 2 3 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 2 1 1 1 1 2 1 2 1 3 3 3 2 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 0 0 0 0 0 0 0 1 3 8 22 43 67 91 110 124 147 174 211 262 316 376 449 520 567 617 673 709 717 718 735 763 802 846 895 946 975 981 990 1007 1012 981 928 925 942 934 894 834 782 796 781 703 605 535 499 466 434 411 404
15 18 19 19 19 18 18 18 19 21 23 25 26 27 27 26 24 26 19 11 7 7 7 5 5 7 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 1 0 0 1 0 0 1 2 1 1 1 2 1 1 1 1 2 1 2 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 0 0 1 5 14 30 54 82 106 130 153 172 196 236 298 376 459 541 613 679 730 751 764 779 795 821 858 904 949 994 1023 1025 1013 1004 997 973 933 929 930 913 875 834 805 783 735 651 546 474 441 416 399 390 391
5 9 13 15 17 17 17 17 18 21 26 30 33 34 35 36 37 40 39 37 36 32 25 16 14 14 13 11 10 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 3 1 0 0 0 0 0 1 1 2 2 1 1 1 1 2 3 5 6 8 7 5 4 3 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 3 11 25 46 71 99 135 162 179 198 234 298 384 463 542 634 729 776 785 799 819 846 884 927 964 994 1028 1048 1044 1016 983 966 941 926 923 921 901 858 819 781 732 665 582 482 422 392 377 375 380 378
0 1 3 8 12 13 12 10 12 17 19 27 32 35 37 39 41 45 47 48 49 49 48 40 32 23 20 18 17 14 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 5 4 2 1 0 0 0 0 0 1 1 1 1 0 1 1 2 3 5 6 6 7 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 1 4 17 42 65 96 128 162 185 193 223 302 396 473 545 633 735 790 808 832 860 893 936 986 1014 1027 1040 1047 1038 1002 951 919 909 912 922 931 897 850 800 741 668 586 504 424 375 353 349 361 371 372
0 0 0 0 3 4 3 2 3 6 8 15 23 30 34 38 41 45 49 53 56 58 59 57 49 40 33 28 25 20 20 17 13 9 6 2 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 6 4 4 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 3 14 35 63 95 128 163 198 210 223 276 362 451 532 625 714 774 824 867 903 934 973 1028 1044 1039 1030 1021 1007 966 926 901 898 913 929 932 894 839 774 700 615 526 446 381 343 333 337 351 359 358
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1 2 2 2 2 3 3 3 4 4 5 6 8 11 15 19 28 37 43 48 54 64 72 76 77 77 76 72 62 52 44 34 27 23 19 15 11 7 4 2 1 0 0 0 0 0 0 1 2 4 4 4 5 5 6 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 12 32 62 101 146 202 254 272 264 272 313 378 457 550 653 746 817 878 927 956 986 1010 1014 995 966 943 923 910 907 916 938 958 962 954 924 858 740 632 533 446 380 340 323 329 335 335 322 293
3 3 3 2 2 3 4 4 2 3 4 5 6 7 7 10 13 21 30 40 50 60 72 79 84 86 87 84 79 72 66 57 47 36 29 23 19 14 10 8 6 4 2 1 1 1 0 1 0 2 3 3 3 2 3 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 12 30 61 99 140 191 235 258 273 291 324 390 459 548 651 740 796 845 887 925 956 974 970 948 926 910 901 902 915 944 973 987 995 980 917 814 698 590 495 419 368 343 339 342 338 321 290 248
5 4 3 3 3 4 4 5 4 5 6 6 7 7 9 6 8 11 15 22 32 46 61 73 81 88 93 95 94 92 84 75 67 58 50 40 28 22 20 17 15 11 7 4 4 4 2 2 1 2 2 2 2 0 1 1 1 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 35 64 98 131 174 218 254 281 301 344 416 479 545 618 698 744 791 836 877 911 931 921 906 894 889 896 916 933 975 1011 1030 1026 986 891 771 657 552 466 403 364 350 345 340 324 292 249 196
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