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 6 6 7 6 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 7 7 7 7 6 6 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 6 7 7 7 7 8 11 13 12 8 5 4 4 5 5 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 7 7 7 7 6 5 4 5 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 6 7 7 7 7 6 6 6 6 5 6 6 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 7 9 11 14 14 10 6 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 7 7 7 7 7 6 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 5 6 8 10 12 14 12 9 6 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 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 nan
nan 7 7 7 7 7 7 6 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 7 7 6 5 5 5 6 7 8 10 13 15 13 9 6 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 7 7 8 8 8 7 7 7 7 6 6 5 6 6 7 8 8 8 8 7 6 6 6 6 6 7 7 8 13 17 18 15 11 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 7 7 6 6 7 7 7 6 6 6 6 6 7 7 8 8 7 7 6 6 7 7 8 7 7 8 9 9 10 9 9 9 10 10 10 9 9 8 8 8 8 9 8 8 7 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 7 7 7 7 7 6 6 6 8 11 15 19 20 17 13 9 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 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 4 4 4 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 nan
nan 9 9 9 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 8 8 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 8 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 7 7 7 7 6 5 5 6 7 8 11 14 18 20 19 15 11 8 8 7 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 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 8 8 7 7 7 7 7 7 7 6 6 nan
nan 8 9 9 8 8 8 9 9 8 8 7 7 7 8 8 7 7 7 8 8 9 9 10 10 10 9 8 8 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 7 8 8 9 9 8 7 7 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 5 6 6 7 7 9 13 17 20 21 19 16 14 11 9 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 7 6 nan
nan 8 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 7 7 7 7 7 6 7 7 8 8 7 8 8 8 7 7 6 6 6 6 7 8 8 7 7 6 7 8 7 7 8 8 8 7 7 7 7 7 7 8 8 7 6 6 7 7 8 8 7 7 7 7 6 6 6 7 7 8 9 12 16 21 23 23 21 17 12 8 6 6 6 6 6 6 6 7 7 7 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 5 5 5 5 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 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 7 7 7 7 nan
nan 8 8 8 8 7 7 8 8 9 9 8 7 7 7 7 8 8 8 9 8 9 9 10 9 9 8 7 6 5 6 6 6 5 5 6 7 6 5 5 6 6 6 5 5 5 5 5 6 6 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 11 14 17 20 21 19 16 12 8 6 5 5 5 6 6 6 6 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 nan
nan 7 7 7 7 6 6 6 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 7 7 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 6 6 7 7 6 6 6 6 6 7 7 8 7 7 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 12 14 17 18 17 14 10 6 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 8 8 8 7 7 7 nan
nan 4 5 6 6 6 6 5 5 6 6 6 6 6 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 13 18 21 20 16 12 8 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 3 4 4 5 6 6 5 5 5 5 6 6 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 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 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 7 7 6 6 6 6 6 7 7 7 8 10 14 18 22 22 19 14 10 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 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 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 3 3 3 4 5 6 5 5 5 5 6 6 7 7 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 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 8 7 7 7 8 9 9 8 7 7 7 6 6 6 7 7 7 7 7 6 7 7 6 6 7 7 8 8 10 13 17 22 23 21 16 11 7 6 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 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 8 8 nan
nan 4 3 3 3 4 5 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 6 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 11 16 21 23 20 15 9 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 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 8 8 nan
nan 6 4 3 3 4 5 5 6 6 6 6 7 8 9 10 10 9 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 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 7 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 10 14 18 20 17 12 8 6 5 5 5 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 5 5 6 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 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 5 4 3 3 4 5 5 6 6 7 7 8 9 10 10 8 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 7 6 6 7 8 13 17 18 15 11 8 6 6 5 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 5 5 6 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 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 10 8 6 4 3 3 4 5 5 6 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 8 8 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 8 8 7 6 6 7 8 8 8 7 7 7 6 6 6 7 7 6 6 6 6 9 15 19 19 15 12 9 7 6 6 6 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 nan
nan 11 10 8 6 5 4 4 4 5 5 6 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 8 9 9 8 7 6 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 12 18 22 21 18 14 10 8 8 9 8 8 7 8 8 8 8 8 7 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 6 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 nan
nan 10 10 9 8 6 5 5 5 5 6 6 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 9 8 8 7 6 7 7 8 8 8 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 5 6 8 14 19 22 22 21 18 17 16 15 14 11 9 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 6 6 6 6 7 7 7 7 6 6 7 6 7 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 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 6 6 6 6 6 7 8 8 8 7 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 8 7 7 8 8 8 8 9 9 9 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 6 9 13 17 21 24 26 27 26 24 21 16 12 9 8 8 8 8 8 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 6 6 7 7 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 7 7 7 7 7 7 nan
nan 8 8 8 7 6 6 6 6 6 6 7 8 8 7 7 6 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 7 7 6 6 8 11 15 19 21 23 25 25 23 19 14 10 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 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 7 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 9 9 8 9 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 9 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 7 9 11 12 12 13 16 19 20 17 13 10 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 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 nan
nan 9 8 8 7 6 6 6 6 7 6 6 7 8 9 8 7 7 7 6 7 7 7 7 7 7 7 7 7 8 10 10 9 9 9 8 8 7 8 8 7 7 8 9 10 9 9 8 9 10 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 7 7 7 7 10 15 20 22 20 16 12 9 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 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 6 6 6 6 6 7 7 7 7 7 nan
nan 10 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 6 7 7 7 7 7 6 6 6 6 7 8 10 10 9 8 8 7 7 7 8 8 7 6 6 7 8 8 8 9 10 11 10 9 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 8 9 9 8 8 7 6 6 6 6 7 7 7 8 12 18 23 25 23 19 14 10 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 nan
nan 10 10 8 7 6 5 5 6 7 8 9 9 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 8 9 10 9 8 8 8 7 6 7 7 7 5 5 6 7 8 8 9 10 11 10 8 7 6 6 6 6 6 7 7 8 8 9 9 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 9 8 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 9 12 17 22 26 26 22 17 13 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 nan
nan 11 10 9 7 6 5 5 6 7 7 8 8 8 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 8 9 8 7 7 7 7 6 5 6 7 8 8 9 10 11 9 7 6 5 5 5 5 6 6 7 7 8 8 9 9 10 10 9 9 7 6 6 5 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 9 9 8 9 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 11 15 21 26 27 25 21 17 14 13 12 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 nan
nan 11 10 9 8 7 6 5 6 6 6 6 6 6 6 6 7 8 8 7 7 7 8 8 9 9 10 10 9 9 10 11 11 10 9 9 9 9 8 7 7 7 7 7 6 7 8 8 8 9 8 8 7 5 5 4 5 5 6 6 6 7 7 8 9 10 10 10 10 10 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 13 18 23 26 26 24 23 23 22 20 17 13 11 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 11 10 10 9 8 6 6 6 6 5 5 5 6 8 7 8 8 8 7 7 7 8 9 10 10 10 11 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 10 11 11 11 11 10 8 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 9 9 10 11 11 10 9 8 8 7 6 6 7 7 7 7 7 7 6 6 7 7 8 10 15 20 24 27 27 27 28 28 24 17 13 10 9 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 9 8 7 6 5 5 4 5 7 8 8 8 8 8 7 7 7 8 9 10 9 9 10 10 9 9 8 8 7 7 7 6 6 6 6 7 7 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 10 12 13 13 12 9 8 7 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 9 10 11 11 10 10 9 7 6 6 7 8 8 7 7 6 6 6 6 7 7 7 9 12 16 19 20 20 20 20 19 15 11 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 nan
nan 9 9 9 9 9 8 8 7 6 4 4 5 6 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 6 8 8 9 10 10 10 11 11 9 8 6 6 7 8 7 7 6 6 6 6 7 6 5 5 5 6 7 9 13 15 15 13 11 9 9 8 8 8 8 8 7 7 7 8 9 9 8 6 6 7 8 8 8 9 9 10 11 11 10 9 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 8 9 11 12 12 11 9 8 8 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 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 nan
nan 8 8 8 8 8 9 9 8 7 5 4 4 5 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 4 5 6 8 8 9 10 10 11 10 8 7 6 6 7 7 7 7 7 7 7 7 6 4 3 3 3 4 7 11 14 16 16 15 12 10 9 8 8 8 8 8 7 7 8 9 9 8 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 9 8 8 7 7 7 7 6 5 5 6 7 7 7 8 9 10 9 7 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 nan
nan 7 7 7 7 8 9 9 9 8 6 5 4 5 6 7 8 8 9 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 6 6 5 4 3 3 4 5 6 7 8 9 10 10 9 8 7 6 5 5 5 7 8 8 8 9 8 7 6 4 3 4 6 9 13 16 18 18 16 14 11 9 8 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 6 5 5 6 6 7 7 7 8 9 10 10 9 9 10 10 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 6 nan
nan 7 7 7 7 8 8 8 9 8 7 6 4 4 5 6 7 8 8 8 8 7 7 7 7 8 9 8 8 8 8 8 8 8 8 9 8 7 6 5 4 3 2 2 3 4 6 7 8 9 10 11 10 9 7 5 4 3 5 6 8 9 9 10 10 9 7 6 5 6 7 10 13 17 18 18 17 14 12 10 8 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 7 6 6 6 6 7 7 8 8 10 12 14 16 17 19 19 16 12 10 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 7 8 8 8 8 7 6 5 6 6 7 8 9 9 8 8 7 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 7 6 5 3 2 2 2 3 5 6 7 9 11 12 12 11 8 6 4 2 2 2 3 5 6 7 8 8 7 7 7 7 7 7 9 12 16 17 17 16 14 13 10 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 6 7 8 10 13 17 20 22 24 25 26 25 21 16 12 9 8 7 7 7 7 7 6 7 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 9 8 9 8 6 3 2 3 3 3 4 4 6 8 11 13 13 12 10 8 6 3 1 -0 -0 -0 0 2 3 5 6 7 8 8 7 5 4 7 10 13 14 15 16 14 13 11 9 9 10 11 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 6 6 6 7 9 13 17 18 18 18 21 25 28 26 22 16 11 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 nan
nan 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 9 9 8 8 9 10 11 12 11 10 10 11 10 10 10 9 9 10 10 7 4 2 3 4 4 3 3 4 6 10 12 12 12 12 11 9 6 3 2 1 -0 -1 -0 1 3 5 6 7 7 6 3 2 3 5 7 10 13 15 15 14 12 10 10 11 11 11 9 8 8 8 7 7 7 8 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 9 12 12 11 10 12 16 22 25 24 19 12 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 nan
nan 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 7 6 5 5 6 7 8 8 8 9 10 11 12 11 10 10 10 10 9 9 8 9 10 11 10 7 4 4 5 5 4 2 2 4 8 10 11 12 13 13 12 9 6 5 4 3 2 1 2 3 4 5 5 5 4 2 2 1 1 2 6 10 13 14 14 13 12 11 11 12 11 10 9 9 8 8 7 7 8 8 8 8 8 9 10 10 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 7 6 7 7 7 8 9 8 7 7 8 12 17 21 19 13 9 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 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 nan
nan 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 6 5 5 5 6 7 8 8 8 9 10 11 11 11 11 11 10 9 9 8 8 10 13 13 11 9 8 7 6 5 3 2 3 5 8 9 11 13 14 13 10 8 7 6 5 4 4 4 5 6 6 6 5 4 3 3 1 -1 -1 1 5 7 11 13 13 13 12 12 12 11 10 10 10 10 8 7 7 7 7 7 6 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 6 2 -0 0 4 9 12 10 8 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 nan
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nan 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 7 6 6 6 6 6 7 9 10 10 10 10 10 10 10 10 9 9 9 11 11 11 10 9 9 8 8 8 8 8 7 8 8 10 12 12 10 8 7 9 10 11 11 10 10 11 11 11 11 11 11 11 11 10 9 9 10 10 11 11 11 12 14 16 16 15 12 9 8 10 13 16 20 23 24 22 20 20 19 17 15 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 9 9 9 10 9 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 10 10 11 12 12 12 12 10 8 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 11 14 13 11 9 7 8 9 10 10 10 10 10 9 9 9 10 11 11 12 11 10 10 10 10 11 11 11 11 11 13 15 16 15 10 4 -1 -2 -2 0 5 9 11 12 15 17 17 15 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 nan
nan 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 10 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 11 11 10 10 10 9 8 9 10 10 9 8 8 8 9 11 12 12 12 12 10 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 11 13 13 12 10 8 8 8 9 10 10 10 9 9 8 8 8 9 10 11 12 12 11 10 10 11 12 12 12 11 13 16 19 22 22 18 11 5 1 -0 -0 3 5 5 6 9 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 9 9 9 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 9 9 8 9 11 13 12 11 10 10 10 9 10 11 12 11 8 7 7 8 9 10 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 12 12 12 10 8 8 8 8 9 10 10 10 9 8 8 8 8 9 10 11 12 12 11 9 9 10 12 13 12 12 14 17 21 24 27 27 23 18 16 16 16 16 15 15 15 17 17 17 16 13 12 12 11 10 10 10 12 14 16 16 14 11 10 9 9 9 9 9 9 nan
nan 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 12 11 11 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 8 7 6 6 7 8 8 6 7 10 12 12 12 11 11 11 11 11 12 12 11 9 6 5 6 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 11 10 9 8 8 7 8 9 10 11 11 11 9 9 8 8 8 9 10 12 13 12 11 9 9 10 12 12 12 12 12 15 18 22 26 28 27 26 27 27 28 28 27 28 29 28 28 28 26 22 19 17 15 14 13 14 18 21 21 18 14 11 10 10 10 10 9 9 nan
nan 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 8 7 6 5 3 2 -0 -1 -0 2 2 1 1 4 7 10 12 13 13 13 13 13 12 11 10 8 6 5 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 9 10 11 12 12 11 10 9 8 8 8 9 11 13 13 13 11 11 11 11 11 11 11 10 11 12 14 17 19 22 22 23 22 23 24 25 27 29 30 31 33 34 33 30 27 26 24 19 16 15 16 19 19 17 14 12 11 11 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 7 5 2 0 -0 1 3 5 8 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 10 8 6 4 3 3 2 0 -2 -4 -4 -4 -5 -6 -7 -5 -2 4 10 14 15 15 15 14 12 9 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 9 9 8 8 7 7 7 7 7 8 9 10 11 12 12 11 11 9 9 9 9 9 9 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 12 13 14 15 14 13 14 15 16 18 20 22 25 28 30 32 32 32 32 28 21 15 15 19 22 23 22 20 17 14 12 10 10 nan
nan 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 7 4 -0 -4 -8 -9 -8 -6 -2 3 7 8 10 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 11 9 6 5 4 5 5 4 2 1 -1 -2 -4 -6 -9 -11 -11 -7 2 8 12 14 15 13 10 8 6 5 5 5 6 7 7 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 7 6 6 6 6 6 7 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 10 10 11 11 12 12 13 14 16 20 23 24 26 29 30 28 23 20 21 24 25 25 23 20 16 13 11 10 nan
nan 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 11 11 10 10 10 8 4 1 -2 -5 -8 -11 -12 -10 -6 -1 3 6 8 10 11 12 13 13 14 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 13 15 15 13 10 9 8 8 8 7 7 6 5 4 3 -0 -4 -9 -13 -13 -8 -3 1 5 8 8 7 7 6 5 4 4 4 5 5 7 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 11 10 8 7 6 6 5 6 7 8 8 9 9 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 10 9 9 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 11 12 13 14 16 19 22 25 24 21 17 14 13 12 12 12 12 11 10 9 nan
nan 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 6 2 -1 -2 -3 -5 -7 -8 -7 -4 -1 2 5 9 11 12 12 13 13 14 13 13 13 13 13 12 12 11 11 12 12 12 12 12 12 11 12 14 17 20 21 19 17 16 15 14 13 11 10 9 7 7 6 3 -1 -6 -9 -10 -9 -7 -5 -3 -1 1 3 5 6 5 5 4 3 3 5 6 7 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 10 9 8 7 6 7 7 7 7 7 8 9 10 10 10 10 11 11 10 10 9 9 9 10 11 11 11 12 12 12 11 10 9 8 8 8 8 9 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 12 14 16 17 15 11 6 1 -0 2 4 6 7 8 8 nan
nan 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 7 4 1 -0 -1 -2 -4 -4 -3 -1 2 4 6 9 12 13 12 12 13 13 13 13 13 13 14 13 13 12 12 12 12 12 11 12 12 13 12 12 15 18 22 25 26 25 25 25 25 23 20 17 14 11 10 9 8 6 3 0 -2 -5 -6 -7 -7 -7 -5 -3 -0 2 4 6 6 4 3 4 5 5 6 6 7 8 9 9 10 10 10 10 10 10 9 8 7 7 8 10 11 11 10 9 8 9 9 8 7 6 7 8 9 9 9 9 10 10 10 9 9 8 9 11 11 11 12 13 14 14 13 12 10 9 9 9 8 9 10 11 12 12 10 9 9 9 8 9 10 10 10 10 10 10 10 11 12 13 13 10 7 4 1 1 3 5 6 7 7 nan
nan 11 10 9 8 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 8 6 3 2 1 -1 -2 -4 -4 -0 3 7 10 12 14 15 13 13 13 13 13 13 13 14 14 14 15 14 13 13 12 12 12 11 12 12 13 13 13 14 16 19 22 24 25 26 26 27 28 28 26 23 19 16 14 12 10 9 7 5 3 1 -1 -2 -3 -5 -6 -6 -4 -1 2 4 4 3 4 5 5 4 4 5 6 7 9 10 10 10 10 10 10 11 10 10 9 8 9 10 10 11 10 10 11 12 11 8 6 6 7 8 8 8 8 9 10 9 9 8 7 8 10 10 11 12 14 15 16 16 14 11 11 10 9 9 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 10 9 7 6 6 6 7 7 7 7 nan
nan 11 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 7 4 2 1 0 -1 -3 -5 -3 1 5 9 13 15 16 16 14 14 13 13 13 13 14 14 15 15 15 15 14 13 13 12 12 12 12 12 12 12 12 13 13 15 17 18 18 19 17 17 20 24 28 30 29 25 21 17 13 11 10 9 8 7 5 4 3 2 -2 -5 -6 -6 -5 -3 -2 -1 1 3 5 5 4 3 3 5 8 9 10 10 10 10 11 11 12 12 11 9 8 8 9 10 10 10 11 12 12 10 8 7 7 8 8 8 8 9 9 9 8 6 6 6 7 9 10 12 13 15 17 16 14 13 12 11 10 10 10 10 11 12 12 11 11 10 10 9 9 9 9 10 10 10 10 9 7 6 7 8 8 8 7 7 7 8 8 8 8 8 nan
nan 10 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 6 3 1 0 -0 -2 -4 -4 -2 1 6 9 13 16 17 17 17 16 15 14 13 13 14 14 15 15 15 14 14 14 13 13 12 12 12 11 11 12 12 12 12 13 14 15 15 13 9 7 8 12 19 26 30 30 28 24 19 14 13 12 11 10 9 9 8 7 5 1 -1 -4 -6 -7 -8 -8 -6 -2 2 4 4 4 2 3 5 6 8 10 10 10 10 10 11 11 10 9 7 7 8 9 9 9 9 11 12 12 10 9 8 9 8 8 8 9 10 10 8 6 5 5 6 7 8 10 11 13 16 15 14 13 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 10 11 12 12 11 9 7 6 6 6 6 7 7 8 8 8 8 8 8 nan
nan 10 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 9 7 4 2 1 0 -1 -2 -2 -1 2 5 9 13 16 17 19 19 19 17 16 15 14 14 14 14 14 14 15 14 14 14 13 12 12 11 11 11 11 12 11 12 12 13 15 16 15 11 7 5 6 10 17 23 27 30 30 27 22 18 16 15 14 14 13 13 12 11 8 5 2 -1 -3 -6 -10 -11 -9 -5 -1 2 4 4 3 3 4 6 8 8 8 8 9 10 10 9 8 7 7 8 9 8 7 7 8 10 11 11 10 10 10 10 10 9 10 10 10 9 8 6 5 5 6 6 7 8 11 13 13 13 12 10 9 10 9 9 9 10 10 11 11 10 9 9 9 9 10 10 11 12 13 16 17 17 16 13 10 8 7 7 7 8 8 8 8 7 7 nan
nan 8 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 6 4 2 0 -1 -1 0 2 5 9 12 14 16 18 19 17 16 15 15 14 14 13 14 14 14 15 15 14 13 12 12 12 11 11 11 11 11 11 11 11 13 15 18 21 19 16 13 10 10 12 16 20 24 29 31 30 28 25 23 22 21 20 19 20 20 18 14 10 6 4 1 -5 -9 -11 -11 -9 -4 1 4 5 5 4 5 6 7 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 9 10 11 11 10 9 8 8 8 8 7 6 5 5 5 5 6 8 10 11 10 9 8 8 8 8 9 10 9 10 10 10 10 9 8 8 8 9 10 11 12 13 16 20 24 26 24 19 14 11 8 8 8 8 7 7 7 6 nan
nan 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 8 6 3 1 1 1 1 3 6 9 11 13 15 17 17 15 14 14 14 13 12 12 12 13 14 15 15 14 13 13 12 12 12 11 11 11 11 10 10 10 11 14 18 21 22 21 19 16 14 14 14 15 18 22 27 30 31 30 29 28 28 27 26 26 28 28 26 21 15 12 9 5 0 -5 -8 -11 -11 -7 -2 3 5 6 6 7 7 8 9 9 9 9 10 11 13 13 12 11 11 10 8 7 7 8 7 7 8 9 11 11 10 8 7 6 5 6 7 7 5 4 4 4 6 7 9 9 9 7 7 7 7 8 9 10 9 10 10 10 9 8 8 8 8 9 10 11 12 13 14 18 22 27 27 23 18 13 10 9 8 8 7 6 6 6 nan
nan 8 7 7 7 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 8 5 3 2 1 2 2 3 4 6 9 11 12 15 18 18 17 16 15 14 13 12 11 12 14 15 16 16 15 14 13 13 13 12 11 11 11 11 10 9 9 10 12 15 17 17 17 17 16 15 14 14 14 14 15 18 20 24 26 26 25 24 24 24 24 26 29 32 31 27 23 20 18 15 11 5 -1 -7 -9 -5 1 5 7 8 7 8 9 9 8 8 8 9 11 13 13 13 13 12 11 10 9 8 6 5 5 6 9 11 11 10 9 7 5 4 4 5 6 6 5 4 4 6 7 8 9 8 7 7 7 7 8 9 9 9 10 9 9 9 8 7 8 8 8 10 12 13 13 13 15 18 21 23 21 17 13 10 9 8 7 6 6 6 5 nan
nan 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 8 6 4 3 2 2 3 3 4 5 7 9 10 12 17 21 22 22 20 16 14 13 13 13 14 15 16 17 17 16 15 14 13 13 12 12 11 11 11 11 11 10 10 11 13 13 13 13 13 12 11 11 12 12 12 12 12 13 14 16 17 17 17 16 16 15 17 20 25 30 30 29 27 27 27 26 23 16 9 3 2 4 8 9 9 8 8 9 9 9 8 7 8 10 11 12 13 13 12 11 10 10 9 7 5 5 5 8 10 11 11 10 9 7 5 4 5 6 7 6 5 5 6 6 8 9 9 9 8 8 7 8 8 8 8 9 8 9 9 8 7 8 8 9 10 12 13 14 13 14 17 20 21 19 15 11 9 8 7 6 6 5 5 6 nan
nan 7 7 8 8 8 8 9 9 10 11 11 11 12 12 11 10 10 10 10 10 9 8 6 5 4 3 3 4 4 5 6 8 9 11 14 20 25 26 25 21 17 15 14 13 13 14 15 16 16 16 16 15 14 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 8 5 5 6 9 10 11 11 11 11 11 12 12 12 12 11 10 10 12 15 19 22 24 24 24 26 29 29 26 20 15 12 11 12 13 12 11 10 10 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 8 8 7 7 8 9 10 11 11 10 9 8 7 7 9 9 10 9 8 8 7 8 9 10 10 9 8 8 7 7 7 8 8 8 9 9 8 9 9 9 10 12 12 13 13 13 14 18 22 24 21 15 11 9 7 6 6 5 5 5 6 nan
nan 8 8 9 9 9 8 9 9 10 10 11 11 11 12 11 11 11 10 9 9 7 6 5 4 3 3 3 4 5 6 7 8 9 12 17 25 29 29 26 20 16 15 13 13 13 13 14 15 15 16 15 15 14 13 13 13 13 12 12 11 11 11 11 11 11 11 12 13 14 13 8 3 -0 -0 3 7 9 11 11 11 11 11 11 11 10 10 9 9 9 9 11 13 15 16 16 16 17 19 19 17 15 15 16 17 16 15 14 13 11 10 10 10 10 10 9 9 9 11 11 12 12 11 10 10 9 9 10 11 11 11 11 12 12 11 10 9 9 10 11 12 12 13 12 10 9 9 9 10 10 9 8 8 7 7 8 8 8 9 9 9 9 10 10 10 11 12 13 12 11 11 13 17 22 25 25 19 14 9 7 6 5 5 5 6 7 nan
nan 10 9 9 9 9 8 9 9 9 10 11 11 11 11 11 11 10 9 9 8 6 5 3 3 3 4 5 5 6 6 7 8 10 14 23 31 32 30 24 18 16 14 13 13 13 13 13 14 15 15 15 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 14 15 11 6 -0 -4 -3 1 5 9 11 11 11 11 11 11 10 10 9 9 9 8 8 9 10 10 8 5 1 0 2 4 5 7 10 13 15 16 16 15 14 12 10 8 8 7 6 5 6 7 8 8 9 10 10 10 10 10 11 13 13 13 13 13 12 11 11 10 10 10 11 11 12 12 12 11 10 10 10 10 9 8 7 7 7 7 8 8 9 9 10 10 10 11 11 11 12 12 12 11 10 10 10 13 18 24 25 23 18 12 9 7 6 6 6 7 7 nan
nan 10 9 9 8 8 8 9 9 9 10 11 11 11 11 11 10 9 8 8 8 8 8 8 7 6 6 6 6 6 6 6 8 11 17 26 31 30 24 19 16 15 15 14 14 13 13 13 14 14 15 14 14 14 14 14 14 13 13 13 12 12 11 11 11 11 11 11 12 14 16 14 10 4 -2 -5 -4 -0 6 10 11 11 11 11 11 10 10 10 10 10 9 8 9 9 9 8 5 -1 -6 -8 -8 -8 -6 -3 1 5 9 12 13 13 12 10 8 5 3 1 0 0 0 0 1 2 4 6 8 9 10 11 12 12 13 13 12 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 7 7 7 7 8 8 9 10 11 11 12 12 12 12 12 11 11 10 9 9 8 8 9 13 19 23 25 22 16 12 9 8 8 7 8 8 nan
nan 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 9 8 8 8 10 12 13 11 10 8 7 6 6 6 6 8 11 18 25 26 21 16 14 14 15 15 15 14 14 13 13 14 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 13 15 15 14 11 8 3 -1 -3 -3 2 8 10 11 11 11 11 11 10 10 11 10 10 8 9 11 13 15 14 11 5 -1 -6 -9 -10 -10 -9 -6 -2 3 7 10 12 11 9 7 4 1 -1 -2 -2 -4 -6 -6 -4 -2 3 6 7 9 10 10 11 11 11 10 9 9 9 9 9 8 9 9 9 9 9 9 10 11 11 11 9 8 8 8 9 9 10 12 13 13 13 13 12 12 11 10 10 9 9 8 8 7 7 9 14 19 23 24 20 16 12 9 9 8 8 9 nan
nan 8 8 8 8 8 9 10 10 11 11 12 12 11 11 10 9 9 9 9 9 11 13 13 12 10 8 7 6 5 5 6 8 11 18 23 20 16 13 13 14 15 15 14 14 13 13 14 14 15 14 14 13 13 13 13 13 13 11 11 10 10 10 11 11 11 11 12 13 15 15 14 11 10 8 4 -1 -3 -1 5 9 11 11 11 11 10 10 10 10 10 10 9 9 11 15 21 24 23 19 15 8 3 -2 -4 -6 -6 -5 -1 4 8 12 13 12 11 9 6 3 2 1 -1 -4 -7 -8 -7 -5 -2 2 5 8 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 10 11 12 13 14 13 12 12 11 11 11 11 12 13 13 14 14 13 12 11 10 9 9 9 9 8 8 8 7 8 10 15 20 23 23 19 15 11 10 10 10 9 nan
nan 8 8 9 9 9 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 9 8 6 6 5 5 5 7 11 18 20 18 16 15 15 14 14 13 12 12 13 13 14 14 14 14 14 13 13 14 14 13 12 9 6 5 5 6 8 10 11 11 12 14 15 15 13 12 11 10 7 3 -1 0 5 9 11 12 11 11 11 10 10 10 10 10 9 9 10 13 18 23 26 27 26 22 17 11 7 4 1 0 2 4 8 12 14 14 14 12 10 8 6 6 5 3 -0 -4 -7 -9 -8 -5 1 6 8 9 9 9 9 8 8 8 8 8 8 8 8 9 11 13 14 15 16 16 16 15 15 14 13 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 11 16 21 24 23 19 17 16 15 14 12 nan
nan 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 9 7 6 5 5 5 5 7 11 16 17 18 18 18 16 14 13 12 11 11 12 13 14 15 15 14 14 13 13 14 14 15 13 10 6 2 0 1 4 8 10 11 13 14 15 15 13 12 11 11 9 5 2 3 6 10 12 12 11 11 11 10 10 10 10 10 9 9 9 10 12 17 21 26 29 29 27 23 20 16 13 11 10 9 11 13 15 15 16 15 14 12 11 11 10 8 5 2 -4 -9 -11 -9 -3 3 6 8 9 9 8 8 8 8 8 8 8 9 10 12 13 15 16 16 17 16 16 17 17 15 13 11 10 11 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 10 14 19 23 26 27 26 26 24 22 19 nan
nan 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 9 8 7 5 5 5 5 7 10 13 16 18 19 18 16 14 13 13 12 12 13 13 14 15 15 15 14 13 14 14 15 17 17 16 12 8 2 -0 0 3 6 9 11 13 14 14 13 12 11 11 8 5 2 3 6 10 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 14 19 23 27 29 30 29 27 25 23 21 19 19 19 19 19 20 20 19 18 18 18 18 14 10 5 -1 -7 -11 -9 -5 1 4 6 8 8 7 7 7 8 8 9 9 10 12 14 14 14 14 14 14 14 15 17 16 14 11 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 12 15 20 25 29 31 31 31 31 30 nan
nan 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 12 11 10 10 9 9 8 7 6 6 6 6 7 9 12 15 19 20 17 15 14 14 13 13 13 13 12 13 13 14 15 15 15 14 14 15 18 20 22 20 17 11 4 0 -1 0 2 5 8 10 12 12 12 12 11 9 5 3 2 5 9 11 12 13 12 11 11 11 10 10 10 11 11 11 12 12 11 11 13 16 19 22 26 28 29 28 27 27 27 26 25 25 26 26 26 25 25 26 27 27 23 17 11 3 -4 -7 -6 -2 2 4 6 8 8 8 8 8 9 10 11 11 12 13 13 13 11 10 10 10 11 14 16 15 13 10 7 8 8 9 9 9 9 10 10 10 9 8 8 8 9 10 11 12 13 13 13 12 12 13 16 19 21 23 26 28 31 34 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 1 1 2 3 3 3 4 5 5 5 6 7 8 10 10 11 12 12 12 12 12 12 13 14 14 14 14 15 14 15 17 18 18 19 19 19 21 26 31 30 28 27 26 26 26 26 26 26 25 24 23 24 26 30 36 40 43 45 46 49 53 57 62 66 67 67 67 67 67 68 68 68 68 69 69 67 66 69 71 74 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 3 4 4 5 5 6 7 13 12 12 12 12 12 12 12 11 11 11 13 14 14 13 14 15 16 18 19 19 19 18 19 22 27 30 30 28 27 26 25 26 27 27 27 26 25 25 24 25 28 34 37 39 42 45 47 52 57 61 65 67 68 68 67 67 66 66 68 68 67 65 64 65 66 68 71 74
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 5 5 6 7 8 9 11 13 12 13 12 13 14 15 17 17 14 13 16 16 18 19 19 19 21 21 21 20 20 21 22 22 22 24 25 26 26 26 25 25 25 26 27 28 29 32 35 36 39 41 45 53 61 67 71 74 74 70 66 62 60 59 59 60 62 63 63 64 66
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