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 8 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 7 7 7 7 7 8 10 11 9 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 8 8 7 7 7 7 7 7 7 7 7 6 7 7 8 7 7 7 7 8 8 8 8 7 6 6 7 7 8 7 7 7 7 7 7 6 7 7 8 8 8 7 6 6 6 7 8 8 8 8 7 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 7 9 11 12 11 8 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 7 6 6 6 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 7 6 6 6 6 6 6 6 7 8 10 12 12 10 7 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 nan
nan 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 9 8 8 7 6 6 6 7 7 7 7 6 6 6 7 8 8 9 8 8 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 9 9 8 7 7 6 6 5 5 6 7 7 8 10 13 12 10 7 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 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 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 nan
nan 8 8 8 8 7 7 7 6 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 6 7 8 9 8 7 7 7 6 6 6 6 7 7 7 9 13 15 14 11 7 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 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 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 nan
nan 9 8 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 8 8 8 9 10 10 10 10 9 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 6 6 6 7 8 8 7 7 7 7 6 6 6 6 6 7 6 8 11 15 17 16 13 9 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 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 6 7 7 7 7 8 7 7 7 7 7 6 6 7 7 7 nan
nan 10 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 7 7 8 8 8 8 7 7 7 7 8 8 7 8 8 7 7 7 7 8 8 8 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 9 11 14 17 18 15 11 8 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 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 7 7 7 7 7 7 7 7 7 6 6 7 7 7 nan
nan 10 9 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 7 6 7 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 7 7 6 6 6 6 7 7 8 7 7 7 7 6 6 5 6 6 7 7 8 10 13 17 19 18 16 13 11 9 7 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 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 nan
nan 10 9 8 8 8 7 8 8 8 8 7 7 6 7 7 8 8 7 7 8 8 9 8 8 9 8 8 7 7 6 6 6 7 7 6 6 6 6 7 7 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 8 9 12 17 20 22 21 18 14 9 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 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 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 6 5 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 7 7 8 8 8 7 6 7 7 7 7 7 7 7 6 6 7 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 9 11 14 17 19 19 17 13 9 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 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 7 7 7 7 7 7 7 7 nan
nan 9 8 8 7 7 7 7 7 8 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 7 7 7 7 8 8 7 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 7 7 7 6 7 7 8 8 8 9 10 12 14 17 17 15 11 7 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 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 7 7 7 7 7 7 8 nan
nan 9 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 7 8 8 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 10 15 19 20 18 13 9 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 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 7 7 7 7 7 7 nan
nan 8 8 6 6 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 8 8 8 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 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 6 6 6 7 7 7 7 8 8 8 11 15 19 22 21 16 11 7 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 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 7 7 7 7 7 7 nan
nan 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 10 14 19 22 22 18 13 8 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 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 6 6 7 7 7 7 7 nan
nan 7 8 7 6 6 6 7 7 7 7 7 7 7 8 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 9 12 17 21 21 18 11 6 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 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 6 7 7 7 7 7 nan
nan 6 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 7 8 7 7 8 8 8 9 8 8 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 11 15 19 19 15 9 5 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 7 nan
nan 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 9 14 18 17 12 8 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 6 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 6 7 10 16 19 17 13 9 7 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 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 nan
nan 6 5 5 5 6 6 7 7 7 7 7 8 8 8 8 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 8 14 20 22 19 15 11 7 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 nan
nan 7 5 4 4 5 6 7 7 7 8 8 8 8 8 8 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 7 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 7 7 8 8 8 8 7 7 7 7 7 6 6 7 10 16 21 22 21 19 16 14 13 13 11 9 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 7 5 4 3 4 5 6 7 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 6 6 7 7 8 11 15 19 23 24 25 25 24 22 18 13 8 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 7 6 4 3 2 4 5 6 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 9 8 7 7 6 6 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 10 13 17 20 22 23 24 24 21 16 11 7 5 5 5 5 5 5 5 5 5 5 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 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 nan
nan 7 7 5 3 2 3 5 6 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 7 8 8 8 9 9 8 8 8 8 8 7 8 8 9 8 8 8 9 11 12 13 13 14 17 19 19 15 11 7 5 5 5 5 5 5 5 5 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 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 nan
nan 8 8 6 4 2 2 4 6 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 7 7 7 6 6 7 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 11 16 21 22 18 13 9 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 nan
nan 8 8 7 4 2 2 4 5 7 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 7 7 6 6 6 6 7 9 9 8 6 6 6 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 9 13 20 24 25 22 17 11 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 9 9 7 4 2 1 3 5 7 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 9 9 9 8 8 7 6 6 6 6 7 8 9 8 6 5 5 6 7 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 8 8 10 14 19 23 26 25 21 15 11 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 nan
nan 9 9 8 5 2 1 2 5 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 6 7 7 8 8 9 8 7 6 6 6 6 7 8 9 10 8 7 6 6 6 6 5 5 6 6 7 7 8 8 8 8 8 8 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 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 12 17 23 27 27 24 19 14 12 11 10 9 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 nan
nan 9 9 8 7 4 1 2 4 5 6 6 7 8 8 8 7 6 6 7 7 8 8 9 10 9 9 9 9 8 8 9 9 8 7 6 7 7 8 8 8 7 6 6 6 6 6 7 7 8 9 7 6 5 5 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 6 5 6 6 7 7 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 7 7 7 7 7 7 7 8 8 8 9 10 14 20 24 26 26 24 22 22 21 19 15 11 8 7 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 5 2 2 3 4 5 6 7 8 9 8 7 6 5 6 7 8 9 10 10 9 9 9 9 9 9 9 9 8 6 5 5 6 7 8 8 7 7 7 6 7 7 8 8 8 8 7 6 5 6 7 8 8 8 7 6 6 6 7 8 8 9 9 9 8 8 7 5 5 5 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 9 12 16 21 26 28 28 28 29 27 22 15 10 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 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 8 8 8 8 8 9 nan
nan 8 8 9 8 6 3 3 3 3 4 5 7 9 10 9 8 6 4 5 7 8 9 10 10 9 9 9 10 9 9 9 9 8 6 4 4 4 6 7 8 8 7 7 7 7 8 8 9 9 8 7 6 6 7 8 8 9 9 8 8 8 8 9 9 9 10 10 10 10 11 10 8 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 9 9 8 8 7 7 7 8 8 8 8 10 14 18 21 22 22 21 20 18 13 9 6 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 nan
nan 9 9 9 8 7 5 4 3 3 2 4 6 9 10 11 10 7 5 4 6 8 9 9 9 8 8 9 9 9 9 9 9 8 6 4 3 3 5 6 7 8 8 8 8 8 8 9 9 10 9 7 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 10 11 12 13 12 11 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 8 8 9 9 9 8 7 7 8 9 9 8 8 8 8 7 7 7 8 8 8 9 11 12 14 14 12 9 7 7 6 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 8 7 6 5 3 2 3 5 8 10 11 11 10 6 4 5 6 8 8 8 8 8 8 8 8 8 8 8 8 7 4 3 3 4 6 7 7 7 7 7 7 8 9 10 10 9 7 6 7 8 9 9 8 8 7 6 7 7 8 8 8 8 10 11 13 14 14 14 13 11 9 8 8 7 7 7 7 8 8 7 7 7 8 9 9 9 9 9 8 7 7 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 10 11 10 7 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 nan
nan 8 8 9 9 9 7 6 5 4 3 2 4 6 8 10 12 11 8 5 4 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 4 3 3 5 6 7 6 7 7 6 7 8 9 10 9 7 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 9 11 13 14 15 15 15 14 13 11 9 8 7 7 7 8 9 9 7 6 7 8 9 9 9 9 8 7 7 8 8 8 8 9 10 10 10 10 9 9 8 8 9 8 8 7 7 7 7 8 8 8 8 9 10 11 10 9 8 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 8 7 6 6 6 4 3 3 5 7 9 11 11 9 6 5 5 6 7 8 9 9 9 8 8 8 8 8 8 7 6 5 4 3 4 5 5 6 6 6 6 6 7 8 9 9 7 6 6 6 6 5 6 7 8 9 9 9 8 8 8 8 8 10 12 14 14 15 15 16 15 14 12 10 8 7 7 8 9 10 9 7 7 7 8 9 9 9 8 8 7 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 11 13 15 16 18 20 20 16 12 9 8 7 6 6 6 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 nan
nan 8 8 9 10 9 7 6 6 6 5 4 4 5 6 8 9 10 9 7 5 5 6 7 9 10 10 10 9 9 8 8 9 8 8 7 6 5 5 4 3 3 4 6 6 6 6 6 8 9 10 8 6 4 4 4 4 5 6 8 9 9 9 9 9 8 7 8 9 10 11 12 13 15 16 16 15 13 12 10 8 8 8 9 10 10 9 8 7 7 8 8 8 8 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 11 15 18 21 24 26 27 29 27 22 16 11 7 6 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 10 nan
nan 9 9 10 10 9 8 7 6 6 5 5 6 6 6 7 8 9 9 8 6 5 6 7 8 9 10 11 11 9 7 8 9 9 9 8 7 7 7 5 2 1 3 5 7 7 7 6 7 9 11 10 6 4 4 3 2 3 5 7 8 7 7 8 8 8 8 8 8 8 9 9 10 13 15 15 14 14 13 12 10 9 8 8 9 10 9 8 7 7 7 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 10 14 18 20 20 21 23 27 30 28 23 15 9 6 5 5 4 4 4 4 5 5 6 6 6 7 7 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 11 11 11 11 10 10 nan
nan 9 10 10 9 9 8 8 7 6 6 6 7 7 7 6 7 8 8 7 7 6 7 7 8 9 11 12 12 10 8 7 8 9 9 8 8 9 9 7 4 1 1 4 7 8 7 7 7 8 11 11 8 6 5 4 3 2 3 5 6 5 5 6 8 9 10 11 10 9 8 7 8 10 12 13 13 14 14 13 11 10 9 8 9 9 9 7 7 7 7 7 8 8 8 8 8 9 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 10 12 13 12 12 14 18 24 27 26 19 12 8 6 5 4 4 5 5 6 6 6 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 nan
nan 9 9 9 9 9 9 8 7 7 7 7 8 8 7 7 7 7 6 6 7 7 7 7 7 9 11 13 14 12 10 8 7 7 8 8 7 8 10 10 7 4 2 3 6 8 7 6 6 7 10 11 9 8 7 5 3 1 2 3 5 5 6 8 9 10 12 12 11 9 7 6 8 8 9 11 12 13 13 13 12 11 10 10 9 9 8 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 7 7 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 7 8 12 18 22 20 13 9 6 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 5 6 6 7 7 7 7 8 10 12 13 13 12 10 7 7 7 7 6 7 9 11 10 7 4 4 6 7 7 6 6 6 8 10 10 10 9 7 4 1 0 1 3 5 8 10 11 12 13 12 10 7 5 5 6 6 6 8 11 13 13 13 13 12 12 11 11 9 8 8 8 9 9 8 7 6 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 8 7 7 8 8 8 5 2 -1 -1 3 7 10 9 7 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 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 9 8 7 7 6 5 5 6 7 8 7 7 7 9 10 11 12 13 12 9 7 7 7 7 7 8 9 9 8 7 6 5 5 6 6 5 5 7 9 10 10 10 9 7 3 0 -0 1 3 6 10 12 13 12 10 8 5 3 4 4 4 4 5 8 10 11 12 13 13 13 13 13 11 9 8 9 9 9 8 7 6 5 5 5 5 6 7 7 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 8 7 7 8 8 8 8 8 8 6 2 -4 -8 -8 -5 -1 2 5 6 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 nan
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nan 9 10 10 10 11 11 10 10 10 10 10 9 9 10 10 11 11 12 12 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 6 6 5 4 4 4 5 8 9 10 10 9 9 9 8 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 10 12 11 10 11 10 10 10 9 8 8 8 8 9 9 9 10 10 11 10 10 10 11 12 13 13 13 14 15 16 17 15 11 8 6 7 9 13 16 19 19 18 19 20 20 18 15 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 6 7 8 9 10 11 11 11 10 10 9 7 6 7 7 8 8 9 9 9 9 8 8 9 9 9 8 8 9 10 11 11 11 10 10 11 11 10 9 9 8 8 7 6 7 8 9 10 10 10 10 11 12 13 14 14 13 13 13 15 16 15 11 5 -1 -4 -4 -4 -2 1 4 7 11 14 13 11 10 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 9 10 10 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 8 7 7 8 7 7 7 8 9 8 7 7 8 10 11 12 12 11 11 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 9 9 8 8 7 7 8 8 9 10 11 11 11 11 12 13 14 13 13 14 16 19 22 23 20 14 8 4 1 -0 1 4 5 6 6 8 10 10 10 10 10 10 9 9 9 8 8 9 11 12 11 11 11 11 11 11 10 10 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 9 8 7 7 9 10 9 8 7 8 8 8 8 9 10 9 7 6 7 9 11 12 13 12 12 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 7 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 10 12 13 13 13 14 17 21 25 28 30 28 24 22 22 22 23 22 20 18 20 21 21 20 18 17 15 14 13 12 12 15 19 22 21 18 15 13 13 12 11 11 11 10 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 8 7 6 7 7 7 5 6 8 10 9 9 8 8 9 9 9 10 10 9 7 6 6 8 10 12 12 12 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 7 7 6 6 6 7 9 10 11 11 11 10 10 9 9 10 10 10 10 9 8 8 9 11 12 11 11 11 13 17 22 27 30 31 31 32 34 35 35 33 34 34 35 34 35 33 30 26 24 21 20 20 23 26 27 25 21 17 15 14 13 12 12 11 11 nan
nan 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 10 10 9 9 9 10 9 9 9 8 8 8 7 4 1 -0 -0 1 1 0 0 3 6 8 9 10 9 10 10 10 10 9 8 7 6 6 7 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 7 7 8 9 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 10 11 13 16 19 22 23 24 25 26 26 27 29 31 33 34 37 38 37 34 33 33 31 28 25 22 21 21 20 20 18 17 16 15 14 13 12 nan
nan 10 10 10 10 10 10 10 10 10 11 10 10 11 11 12 13 13 13 12 12 11 11 11 11 11 10 9 7 6 7 8 9 11 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 10 10 10 9 7 7 6 6 5 3 -1 -4 -5 -5 -5 -6 -7 -7 -4 1 7 10 10 11 11 11 9 8 7 7 7 6 7 8 9 10 10 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 10 11 12 13 14 14 13 14 16 17 18 20 22 24 27 30 32 34 35 35 32 26 21 19 21 24 27 26 24 22 18 16 14 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 11 10 9 7 4 1 -0 1 3 6 9 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 11 12 11 9 7 6 6 6 6 5 3 0 -2 -3 -5 -8 -11 -13 -13 -9 -1 4 7 9 11 10 8 7 6 5 5 6 6 7 8 9 10 11 11 10 10 10 9 10 9 9 9 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 8 8 9 10 12 13 13 14 14 13 12 12 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 15 18 22 24 26 28 30 29 26 23 24 25 26 25 23 20 16 14 12 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 10 10 10 10 10 10 9 8 5 1 -2 -4 -4 -2 3 8 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 13 15 16 14 10 8 8 8 8 7 7 5 4 2 0 -3 -8 -13 -16 -15 -10 -5 -1 2 5 7 7 6 6 5 4 4 4 5 6 8 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 8 7 7 6 7 7 8 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 11 13 14 15 15 14 14 13 12 11 10 10 10 10 11 12 12 11 11 11 10 10 10 10 10 10 12 13 14 16 18 21 23 23 20 16 12 9 8 8 8 8 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 10 10 10 10 10 9 9 9 8 6 3 -1 -4 -6 -5 0 5 9 12 12 11 11 11 12 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 11 15 19 22 21 18 14 13 13 12 11 11 10 8 5 4 2 -2 -6 -11 -12 -12 -11 -8 -6 -4 -2 1 3 5 5 5 4 4 3 4 5 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 6 7 8 9 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 8 10 11 13 14 14 13 14 13 13 11 10 9 9 10 12 13 12 12 11 10 10 9 9 9 9 10 10 10 10 11 12 12 14 14 10 5 -0 -4 -4 -2 0 3 6 7 8 nan
nan 11 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 5 1 -4 -7 -5 -1 6 11 13 13 12 12 12 12 11 11 10 10 9 9 9 8 8 9 9 10 10 10 10 11 14 19 24 26 25 23 22 21 21 21 19 17 13 9 7 5 2 -0 -3 -5 -6 -8 -9 -8 -8 -7 -6 -4 -1 1 3 5 6 4 3 4 5 5 5 6 7 8 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 10 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 6 6 6 7 8 8 9 11 12 12 12 13 13 11 10 9 8 8 9 11 12 12 12 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 7 4 2 0 -0 -0 0 2 5 6 7 8 nan
nan 12 12 11 11 11 11 11 10 10 10 11 11 10 10 10 9 9 7 7 8 8 9 9 10 10 10 9 9 9 10 9 7 2 -3 -5 -4 2 8 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 13 16 20 23 24 24 24 23 25 27 28 26 22 18 13 9 6 4 3 1 -0 -2 -4 -5 -5 -6 -7 -8 -8 -6 -3 1 4 4 4 4 5 4 4 4 5 6 7 8 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 8 8 8 8 8 8 7 8 8 9 8 8 7 7 7 6 5 5 6 7 7 7 7 9 10 11 12 13 11 10 9 8 8 8 9 10 11 12 11 10 10 9 9 8 8 8 9 10 9 8 8 8 6 4 1 0 0 2 4 5 5 6 6 7 7 8 nan
nan 12 12 11 11 11 10 10 11 11 12 12 11 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 8 3 -2 -4 -1 5 10 12 13 13 13 13 12 12 11 11 11 11 10 10 10 10 11 10 10 10 10 10 11 12 14 16 17 18 18 17 17 20 25 29 30 27 23 18 13 8 6 5 4 3 1 0 -0 -0 -2 -5 -7 -8 -8 -5 -3 -1 0 2 4 5 4 3 3 3 5 7 8 8 9 9 9 10 11 11 11 10 8 7 6 6 7 7 7 9 11 12 11 10 8 8 8 7 7 7 6 6 5 4 4 4 5 6 6 7 9 10 11 12 12 10 9 8 8 8 9 9 9 10 11 9 9 8 8 8 8 8 8 9 9 9 9 8 6 2 -2 -4 -3 -1 2 4 6 7 7 7 7 8 9 nan
nan 12 12 11 10 10 10 10 11 12 12 12 11 10 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 8 8 9 10 10 7 2 -1 -1 4 9 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 12 13 14 15 14 10 7 8 11 19 26 29 29 27 23 17 12 9 7 6 4 3 3 3 2 1 -2 -4 -6 -7 -7 -7 -6 -5 -1 2 3 3 3 2 2 4 5 6 8 8 8 9 10 10 9 9 8 6 5 5 5 5 6 8 12 14 14 12 10 9 8 7 7 7 7 7 7 6 6 5 5 6 7 9 9 10 11 12 12 10 10 8 8 8 9 8 8 8 7 7 6 6 6 7 7 8 9 9 10 10 11 10 7 3 0 0 2 4 5 7 8 8 8 8 8 9 10 nan
nan 11 10 10 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 9 6 2 0 4 9 13 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 10 12 14 17 16 11 6 3 3 8 15 22 27 30 31 27 21 17 13 11 9 7 6 6 6 6 4 2 0 -2 -4 -6 -9 -10 -8 -5 -2 1 3 3 2 2 3 4 5 6 7 7 8 8 8 7 6 5 4 4 5 5 6 8 11 13 14 12 10 9 9 9 8 8 8 9 10 10 9 9 8 8 8 9 9 9 11 12 11 10 9 8 7 8 8 7 7 6 6 6 6 6 6 6 7 8 9 10 11 11 12 12 12 12 13 13 12 12 11 10 10 10 10 9 9 10 10 nan
nan 9 9 9 10 10 11 12 12 12 12 11 10 11 11 10 10 10 10 11 11 11 12 13 13 12 10 9 8 8 8 8 9 11 11 8 4 1 3 7 11 13 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 9 9 8 9 11 15 19 21 19 15 10 7 7 10 14 19 25 30 32 30 27 23 20 18 16 15 14 14 15 14 11 8 5 3 0 -4 -9 -11 -11 -10 -6 -1 2 3 4 4 4 5 5 6 7 8 8 8 7 7 6 7 8 9 11 12 12 12 12 11 10 9 9 9 9 9 8 7 7 7 9 9 10 9 8 8 7 7 8 10 10 10 9 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 12 12 13 16 20 23 22 19 16 14 12 11 11 10 10 10 10 10 nan
nan 7 8 10 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 14 16 16 15 12 10 9 9 9 9 10 11 11 10 7 4 2 4 8 11 12 12 12 13 14 13 13 12 12 11 11 11 11 11 11 11 10 10 10 9 8 8 10 14 18 21 22 20 17 13 11 11 12 14 17 22 27 30 30 29 28 26 25 24 23 22 24 25 23 18 13 10 7 4 -0 -5 -9 -12 -13 -9 -4 2 5 7 7 6 6 6 7 7 6 6 7 8 9 11 13 16 18 18 16 14 12 10 9 8 7 7 7 7 6 5 4 4 5 6 7 7 6 6 6 7 8 9 9 9 8 7 7 7 7 7 8 8 8 9 11 11 11 10 10 10 10 11 11 12 12 12 13 16 19 21 19 16 13 12 11 10 10 10 10 10 9 9 nan
nan 7 9 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 12 13 14 14 13 12 11 10 10 10 11 11 12 12 12 10 7 4 4 7 9 10 10 11 12 13 14 13 13 12 11 11 11 11 11 11 11 11 10 10 10 9 8 9 12 15 16 16 16 16 14 13 12 12 12 13 15 18 21 24 25 25 24 24 25 24 24 26 29 31 29 24 20 17 15 13 9 3 -2 -7 -9 -5 1 6 9 8 7 6 6 5 4 4 5 6 9 12 15 17 19 20 19 16 14 11 8 7 5 4 4 5 5 5 5 4 4 3 3 4 5 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 11 11 12 12 12 11 11 11 11 11 12 12 13 13 14 14 12 10 9 8 9 9 9 9 9 9 9 9 9 nan
nan 8 9 10 11 11 12 12 12 13 13 12 12 12 13 13 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 12 12 12 13 13 12 10 9 9 9 9 9 10 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 11 12 12 12 12 12 11 10 10 10 11 11 12 13 14 15 17 17 17 17 18 18 19 20 24 28 31 30 28 26 24 24 23 20 14 8 4 3 5 8 10 9 8 7 7 7 7 8 8 9 12 15 16 17 17 16 15 13 11 9 7 5 4 3 3 4 5 5 6 5 5 4 3 5 8 10 11 11 11 10 10 12 13 13 13 13 12 11 10 9 8 9 10 11 12 12 11 11 11 10 10 11 11 11 12 12 12 10 10 10 9 8 8 8 8 8 9 9 9 8 8 nan
nan 8 9 10 11 11 11 11 12 13 13 13 13 13 13 13 12 12 11 11 12 13 14 14 14 13 12 12 12 11 11 11 12 12 12 14 16 16 15 14 13 11 9 9 10 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 11 9 6 5 6 8 10 11 11 12 12 12 13 12 12 13 13 14 15 17 20 24 27 28 27 26 26 27 27 23 18 14 11 11 11 12 12 12 12 12 14 15 15 15 14 15 15 15 14 12 11 10 9 8 7 7 6 6 5 6 6 7 7 7 8 8 9 10 13 15 17 17 16 14 13 13 13 14 14 15 14 13 12 10 8 8 9 10 11 12 11 10 10 10 10 10 10 10 10 10 10 10 12 14 16 15 13 11 9 9 9 9 9 9 9 9 nan
nan 9 10 10 11 11 11 11 11 12 13 13 13 13 13 12 12 11 10 11 12 12 13 13 13 13 12 12 11 11 11 11 12 12 13 15 18 19 19 18 15 13 11 11 11 12 12 13 13 14 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 12 14 14 10 4 -0 -1 2 6 9 10 10 11 11 11 10 10 10 9 10 10 12 13 16 18 20 21 20 19 19 19 17 14 11 10 10 10 11 12 14 16 17 17 17 16 14 12 10 8 8 7 7 6 6 6 6 6 7 8 9 10 10 11 11 12 12 14 15 17 19 20 20 19 18 17 15 14 12 12 13 13 13 13 12 11 9 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 10 13 16 19 20 17 14 11 10 10 9 9 9 9 10 nan
nan 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 14 18 22 24 23 21 18 16 13 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 12 16 18 14 7 0 -5 -5 -1 3 7 9 10 10 10 10 9 8 7 7 7 7 7 8 9 11 13 11 8 5 2 2 1 1 0 2 3 4 5 7 11 12 11 8 5 2 -1 -3 -5 -6 -6 -5 -4 -2 0 3 6 8 9 10 13 15 17 18 19 20 21 21 21 21 19 17 15 13 12 11 10 9 10 11 11 12 11 10 9 9 8 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 10 11 14 18 20 20 17 14 12 11 10 10 10 10 11 nan
nan 10 10 10 10 10 10 11 11 11 12 13 13 12 12 11 10 10 10 11 11 13 13 14 13 12 11 11 10 10 10 10 11 12 14 19 22 23 22 20 19 18 16 15 14 13 14 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 12 16 19 17 12 5 -3 -7 -6 -3 3 8 10 10 10 10 10 9 7 6 6 5 5 4 5 7 7 6 4 -1 -6 -8 -8 -9 -9 -8 -8 -8 -8 -7 -5 -4 -4 -6 -8 -10 -13 -15 -17 -18 -19 -19 -17 -14 -9 -4 1 4 6 10 14 17 20 22 22 23 22 20 18 15 12 10 9 8 7 6 6 7 8 9 10 11 10 9 8 8 8 8 8 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 10 11 15 19 21 20 17 14 11 11 10 10 11 11 nan
nan 9 9 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 11 11 12 14 16 18 17 15 13 12 11 11 11 11 11 12 13 16 17 17 17 17 17 17 17 17 16 15 14 14 14 15 15 15 15 14 14 13 13 12 12 12 11 11 10 10 10 10 10 10 13 17 18 18 14 9 3 -3 -6 -6 -1 5 9 11 11 11 10 10 9 8 7 6 5 4 5 7 9 11 10 7 2 -2 -6 -8 -9 -10 -11 -13 -15 -16 -17 -16 -16 -15 -14 -13 -14 -15 -16 -17 -17 -17 -17 -17 -15 -13 -10 -5 1 8 13 16 17 18 18 17 15 12 10 9 7 6 6 5 5 5 6 7 8 9 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 12 17 20 21 19 17 14 12 12 11 11 11 nan
nan 9 10 10 10 10 10 11 11 11 12 11 11 11 10 10 11 11 11 11 12 14 16 18 18 16 14 13 12 12 11 11 11 11 13 13 13 12 13 14 15 15 15 16 16 15 15 15 15 15 16 16 15 15 15 14 13 12 10 9 9 9 9 10 10 10 10 11 14 17 18 16 14 12 8 3 -3 -6 -4 3 8 10 11 11 11 10 9 8 8 8 7 6 6 8 12 17 19 19 16 12 7 3 0 -1 -3 -5 -9 -11 -13 -13 -12 -11 -9 -7 -6 -5 -5 -5 -4 -4 -5 -8 -11 -14 -12 -7 0 7 11 12 11 11 10 9 7 6 6 6 6 6 6 6 6 7 8 8 9 9 10 9 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 11 15 18 21 22 20 17 15 14 13 13 12 nan
nan 10 11 11 12 12 11 12 12 12 12 12 11 11 10 11 11 12 12 12 12 13 15 16 17 16 15 14 13 12 11 10 10 10 12 12 12 12 12 12 12 12 13 13 14 15 15 15 16 16 16 15 15 15 16 15 14 13 9 5 3 3 5 7 9 10 10 11 14 17 18 15 13 12 10 7 1 -3 -2 3 7 10 11 11 11 11 10 9 9 8 8 7 7 9 11 16 21 23 24 23 20 15 12 10 8 6 4 2 1 -0 0 0 0 1 2 4 5 6 7 7 6 3 -0 -3 -2 1 5 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 8 9 10 9 9 9 9 9 10 10 11 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 13 17 21 24 23 21 19 19 18 16 15 nan
nan 12 13 13 14 13 12 12 12 12 12 12 11 11 11 12 12 12 12 11 12 13 14 15 16 16 15 14 13 11 10 9 9 9 11 10 10 12 13 12 12 11 12 12 13 14 15 16 17 17 16 15 14 15 16 16 17 17 13 6 1 -2 -2 2 6 9 10 12 15 17 17 15 13 12 11 9 3 -1 0 4 8 11 11 11 11 11 10 10 9 9 8 8 8 8 9 12 16 20 24 27 27 25 23 21 19 17 17 15 14 12 11 10 9 9 10 12 14 16 16 15 12 10 8 8 7 7 6 6 5 4 4 4 5 6 7 8 8 8 9 9 9 9 10 10 10 9 9 10 10 11 12 13 12 11 10 9 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 11 11 12 13 16 20 23 26 27 28 27 25 23 20 nan
nan 13 13 14 14 13 12 11 11 12 11 11 11 11 12 13 13 12 11 11 11 12 13 15 16 16 15 13 11 10 8 8 8 10 10 9 10 11 12 12 13 13 13 13 13 13 13 14 16 17 17 16 15 15 16 18 21 23 21 15 7 -1 -5 -4 1 5 8 11 15 17 16 14 12 12 11 8 3 -1 -0 4 8 11 12 12 11 11 11 10 10 9 9 9 9 9 10 10 12 14 18 22 26 28 29 29 28 28 28 27 26 24 22 21 19 19 21 23 24 25 23 21 17 14 13 12 11 9 7 5 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 13 15 15 13 12 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 12 12 13 14 16 20 25 29 31 30 29 28 28 nan
nan 13 13 13 12 11 11 11 10 10 11 11 11 12 13 13 13 12 11 11 11 12 13 15 16 16 15 13 10 8 7 7 9 11 11 11 11 11 12 13 13 13 14 14 13 12 11 12 14 16 17 17 15 15 16 17 22 26 27 25 20 9 -2 -5 -4 -1 3 7 11 13 14 13 12 12 11 7 2 -1 -1 3 8 11 12 12 12 11 11 10 10 9 9 10 10 11 11 11 10 10 12 15 19 22 25 28 29 29 29 30 31 30 29 29 29 30 30 30 28 27 25 24 22 20 18 16 16 15 14 13 12 12 12 12 13 13 12 11 11 10 10 10 10 11 10 9 9 9 10 11 12 14 15 15 13 11 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 12 12 12 13 16 19 21 22 23 25 28 30 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 2 2 1 2 2 2 3 4 5 5 6 7 7 8 8 9 10 10 10 12 13 14 15 15 16 17 18 17 17 19 21 23 25 28 30 32 34 34 35 37 39 39 39 38 38 38 38 39 41 46 50 53 55 55 55 53 51 49 50 50 51 52 53 54 57 64 69 77 83 85 86 88 89 89 91 94 98 100 102 102 101 101 97 94
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