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 8 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 8 7 7 7 7 7 8 9 10 12 13 15 16 16 15 15 14 13 13 13 13 13 13 12 12 12 12 13 13 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 9 8 8 9 9 9 10 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 11 12 12 10 8 6 7 7 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 6 3 -1 nan
nan 8 10 10 10 10 9 9 9 9 9 9 9 8 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 7 8 8 8 9 10 11 12 13 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 12 12 13 13 12 11 10 10 10 10 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 10 12 13 13 10 8 8 9 10 9 9 8 8 8 8 8 9 9 9 8 7 7 7 8 9 10 10 10 9 8 6 2 nan
nan 8 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 8 8 8 9 9 9 10 11 12 13 13 14 13 13 13 14 14 14 14 15 14 14 13 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 9 9 10 10 11 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 15 15 14 13 12 11 12 13 14 14 12 11 10 11 12 12 13 13 13 13 12 10 9 9 8 8 8 7 7 7 7 9 12 13 11 9 8 9 11 11 10 10 9 8 7 7 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 5 nan
nan 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 12 12 13 13 13 13 14 14 15 15 15 16 16 15 14 13 12 11 11 10 10 10 9 9 9 8 7 7 7 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 14 16 17 17 17 15 13 11 11 13 14 15 14 12 12 12 13 14 14 14 13 12 11 10 9 8 8 8 7 6 5 5 5 6 8 10 9 9 7 8 9 9 10 10 10 9 9 9 8 8 7 8 8 9 9 9 9 10 10 11 11 11 10 7 nan
nan 9 9 10 10 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 13 14 14 14 15 15 15 15 14 13 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 10 9 9 9 11 12 13 14 15 16 16 16 16 14 12 11 12 13 14 14 13 12 13 15 16 16 14 12 11 9 8 8 7 7 7 7 6 6 5 5 5 6 7 7 7 6 6 6 6 8 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 nan
nan 9 9 9 9 10 9 9 9 9 8 9 9 11 11 11 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 12 12 12 12 12 12 12 11 9 8 7 7 7 7 8 8 9 9 9 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 10 11 11 10 9 9 10 11 13 14 13 13 13 13 13 13 12 11 11 12 12 12 12 12 13 15 16 16 14 12 9 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 4 4 5 7 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 9 9 9 10 10 9 nan
nan 9 9 9 9 9 10 10 9 9 9 9 9 10 11 11 10 9 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 6 7 8 9 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 10 9 10 12 14 14 13 11 10 10 10 10 11 11 11 11 12 12 13 13 13 13 14 15 14 12 9 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 6 7 8 8 7 6 6 7 8 9 9 9 8 7 7 6 7 8 8 8 8 8 8 nan
nan 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 12 14 14 13 12 10 9 9 9 10 10 10 10 11 12 13 14 13 11 11 11 11 10 8 7 7 7 7 6 6 7 8 8 8 9 9 9 8 8 7 7 7 7 8 8 7 6 6 5 6 7 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 nan
nan 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 10 10 11 11 11 10 11 12 13 14 13 13 12 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 7 7 8 9 10 10 10 10 10 10 10 9 9 9 8 7 6 6 6 6 6 7 8 9 9 8 8 8 7 8 8 7 7 6 6 6 nan
nan 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 12 13 13 13 13 13 14 14 13 12 12 11 11 11 11 10 10 10 11 10 10 9 8 8 8 8 7 6 6 6 7 8 8 9 10 11 11 11 11 11 11 10 10 10 10 9 8 8 7 6 6 6 6 7 7 7 8 8 9 9 8 7 6 5 5 5 nan
nan 9 9 8 8 8 8 8 8 8 9 10 10 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 14 14 14 14 14 13 13 12 12 12 11 11 10 11 11 11 11 11 10 9 7 6 7 7 8 8 8 9 9 10 11 11 11 11 11 10 10 11 11 11 11 10 9 8 7 6 6 5 4 5 6 7 8 8 7 6 6 6 5 5 nan
nan 9 10 9 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 11 10 9 9 10 10 12 12 12 10 9 8 8 8 9 8 8 8 8 9 9 10 11 11 10 10 9 10 12 13 14 13 12 10 9 8 8 6 5 4 4 4 5 5 6 6 7 7 6 5 5 nan
nan 9 10 10 10 10 9 8 8 8 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 9 8 7 8 9 10 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 11 13 14 15 14 12 10 9 8 7 7 6 6 5 5 5 5 6 6 7 7 7 6 5 nan
nan 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 10 10 9 9 10 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 11 11 13 14 14 15 13 11 9 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 7 nan
nan 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 14 14 14 14 13 12 11 11 11 10 9 8 8 9 9 8 8 9 9 10 10 11 10 10 9 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 12 11 10 8 6 6 7 7 8 8 7 7 7 7 7 7 7 8 9 10 9 nan
nan 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 10 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 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 10 10 11 12 14 15 16 17 18 19 19 19 17 16 14 13 12 10 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 8 7 7 8 9 10 9 8 7 7 8 8 8 8 8 8 9 10 nan
nan 9 9 9 9 9 9 9 8 8 7 8 9 9 10 10 9 9 9 8 9 9 10 10 11 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 9 9 9 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 11 12 12 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 12 14 17 18 20 21 23 23 24 24 23 22 21 20 18 15 12 10 8 7 8 9 10 10 10 9 8 7 7 7 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 9 10 11 11 10 9 8 8 8 8 8 7 7 6 7 8 nan
nan 9 8 8 7 7 8 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 12 15 17 16 14 12 10 9 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 12 15 18 19 20 20 20 21 22 23 23 24 24 24 23 21 18 15 12 9 9 9 10 10 9 8 7 7 7 8 8 9 9 9 9 10 10 10 10 11 10 10 9 9 9 10 11 11 10 9 9 8 8 8 8 9 10 10 10 10 10 10 9 10 11 12 12 11 9 9 8 8 8 8 8 8 7 6 6 7 nan
nan 8 8 7 6 6 7 8 9 10 9 8 8 9 9 9 10 10 11 10 10 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 13 16 20 21 19 17 14 12 9 8 9 9 9 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 9 9 10 12 13 14 14 14 14 15 16 17 18 19 20 22 24 24 24 23 20 17 14 13 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 10 9 8 8 8 8 8 9 10 10 10 10 10 11 11 11 12 13 12 11 10 9 8 8 8 8 8 8 8 8 7 7 6 nan
nan 8 8 8 7 7 6 7 9 10 10 10 10 9 9 9 9 10 11 11 11 9 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 8 7 7 7 7 8 9 11 14 16 19 20 21 20 18 14 11 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 8 6 5 5 6 7 7 8 8 10 11 13 14 14 15 17 20 22 25 26 26 25 23 20 17 15 13 12 12 11 10 10 10 10 9 9 8 7 8 8 8 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 12 12 13 13 12 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 nan
nan 7 7 8 9 8 8 7 8 9 10 11 11 10 9 9 9 9 10 10 11 10 8 8 8 9 9 8 8 9 10 10 10 10 10 9 8 8 9 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 8 7 7 7 7 8 10 10 11 13 16 19 21 21 18 13 10 8 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 7 4 2 -0 -0 1 2 2 2 3 5 8 10 11 13 13 15 17 20 22 24 25 25 25 23 22 20 18 16 14 12 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 10 10 11 11 11 12 13 13 13 11 10 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 nan
nan 6 7 8 9 10 10 9 9 9 10 11 11 10 9 9 9 9 9 10 10 10 9 8 8 8 9 9 8 9 9 10 10 10 10 9 8 8 9 9 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 9 8 7 6 7 8 9 9 10 12 14 17 19 18 14 11 8 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 7 5 2 0 -0 0 1 0 -1 -2 -1 2 5 7 9 11 12 13 14 16 17 19 21 23 25 26 25 24 21 18 14 12 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 9 10 10 11 11 10 10 10 10 10 10 10 11 12 13 13 12 10 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 nan
nan 6 6 7 9 10 10 9 9 8 9 10 11 11 10 10 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 10 9 10 10 10 11 11 11 10 10 10 10 11 11 11 10 11 11 11 11 11 12 12 11 10 8 7 6 7 8 9 9 9 10 12 14 16 17 15 12 10 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 7 6 4 4 4 5 4 4 2 -1 -2 -1 1 4 7 9 10 11 11 12 14 15 18 21 23 24 25 25 22 20 18 15 12 10 10 10 10 11 12 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 12 11 10 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 nan
nan 7 7 7 7 8 9 8 8 7 8 10 12 12 12 11 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 9 7 7 8 9 10 10 10 11 12 13 15 17 17 14 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 10 12 10 6 2 -2 -3 -2 1 4 6 8 9 10 10 12 13 15 17 19 22 24 25 25 24 22 18 15 13 11 10 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 9 10 10 10 10 11 11 12 12 11 11 11 10 10 10 9 8 7 7 8 8 8 8 8 8 9 9 9 nan
nan 7 7 7 7 7 8 7 6 6 7 9 11 12 12 12 11 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 11 11 11 11 10 8 8 9 9 10 10 11 12 12 13 15 16 17 15 13 10 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 8 11 15 15 12 9 4 -0 -3 -3 -2 0 4 6 7 8 8 9 10 11 13 15 18 22 24 26 26 25 22 20 17 14 11 10 10 11 12 12 11 10 9 8 8 9 8 8 9 9 9 10 10 11 10 11 11 11 12 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 10 nan
nan 8 8 8 9 9 8 7 6 6 6 7 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 11 12 12 12 14 16 17 17 14 11 8 7 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 8 6 6 7 11 12 12 12 9 5 2 -1 -3 -4 -2 1 3 4 4 5 5 6 7 8 9 13 17 21 23 25 25 25 24 21 18 16 13 13 13 12 11 9 8 8 8 8 9 9 9 9 9 10 10 11 11 10 11 11 12 13 12 12 11 10 9 8 7 7 8 9 9 8 8 9 9 10 11 11 nan
nan 8 8 9 10 11 10 9 8 7 6 6 8 8 8 8 8 9 10 10 9 10 10 10 10 9 8 8 8 9 10 10 10 9 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 7 6 6 7 9 10 10 10 10 11 11 11 12 15 17 18 16 13 9 8 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 10 9 7 5 5 6 8 9 10 10 9 7 4 1 -2 -3 -3 -2 -0 0 0 1 1 1 1 1 4 8 13 16 18 21 23 25 25 24 22 19 16 13 11 9 8 7 7 8 8 8 9 9 8 8 8 9 10 10 10 10 12 14 14 13 12 10 8 7 7 7 7 8 9 10 10 9 9 10 11 12 13 nan
nan 7 7 8 9 10 10 10 10 9 9 10 11 11 10 8 8 8 9 9 10 11 10 10 10 10 9 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 9 7 5 5 6 8 9 9 9 9 10 10 10 11 13 15 18 17 15 12 10 9 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 8 8 9 10 10 10 10 9 7 4 2 1 -0 -0 0 1 1 1 1 0 -1 -1 0 3 6 9 11 14 18 21 23 23 22 18 13 10 8 7 7 7 8 8 9 9 9 9 8 7 8 9 10 10 10 12 14 14 13 10 8 7 7 7 8 9 10 11 11 11 11 11 12 13 15 15 nan
nan 7 7 7 8 8 9 10 10 10 10 11 13 13 12 10 7 7 7 9 10 11 11 11 10 9 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 7 6 6 7 8 8 9 9 9 9 9 9 10 11 13 15 16 14 12 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 11 10 10 11 12 11 11 12 11 11 11 10 10 9 9 7 6 5 5 5 6 6 6 5 3 1 -1 -1 0 2 3 4 7 10 14 16 16 15 13 10 9 8 9 9 9 9 10 11 11 10 9 8 9 9 10 10 10 11 12 12 11 8 7 7 8 9 10 10 10 11 12 12 12 13 14 16 16 15 nan
nan 8 7 8 8 9 9 10 10 9 9 9 11 12 12 10 7 6 6 8 9 11 11 11 10 9 9 9 8 7 7 6 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 8 6 5 6 7 8 8 8 8 9 9 9 9 9 10 11 11 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 13 13 14 15 14 13 11 11 11 11 11 11 10 10 10 9 9 10 10 10 8 7 5 3 2 2 2 3 2 3 5 8 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 11 11 11 11 10 11 11 11 9 8 8 9 10 10 9 9 10 10 11 12 13 15 15 15 14 12 nan
nan 8 8 8 8 9 10 10 10 10 8 8 10 11 12 11 9 7 7 7 8 9 10 10 9 9 9 9 9 8 7 6 6 6 7 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 9 6 4 5 6 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 13 14 17 18 18 16 13 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 9 8 7 7 7 7 6 6 7 8 9 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 10 10 11 12 11 11 10 11 11 11 12 12 12 12 12 11 10 9 nan
nan 8 8 8 8 9 9 9 10 10 9 8 9 10 12 12 11 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 9 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 14 17 20 20 19 15 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 15 14 13 12 12 11 11 10 10 10 10 10 11 12 13 14 15 15 16 16 15 14 12 11 11 12 13 13 13 13 13 13 13 13 13 13 12 12 11 9 8 7 7 7 6 nan
nan 9 9 8 8 8 8 8 9 9 9 8 8 9 10 11 12 11 11 10 9 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 9 9 9 9 9 9 8 9 9 9 9 9 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 11 11 13 16 19 20 20 17 15 13 12 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 15 18 21 23 23 20 18 17 16 15 14 14 14 13 13 13 14 16 17 19 20 20 20 19 16 14 12 11 12 13 13 14 14 13 12 12 12 12 12 10 9 8 7 6 6 7 7 6 nan
nan 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 8 6 5 6 9 9 9 9 9 10 11 10 10 10 9 8 8 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 14 16 17 17 16 14 13 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 12 15 17 21 23 23 22 21 20 20 20 20 19 18 17 17 18 19 20 22 23 24 24 23 21 18 16 14 14 14 14 14 13 12 11 10 9 9 9 8 7 6 6 7 7 8 7 7 nan
nan 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 8 9 10 11 11 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 7 4 2 3 7 9 9 10 10 11 11 11 12 12 12 12 11 10 9 8 7 6 5 5 6 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 11 11 12 13 12 12 13 13 13 13 12 11 10 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 5 4 3 6 9 13 16 18 19 19 19 20 21 21 21 20 19 19 19 20 21 23 24 25 24 23 21 20 19 17 16 15 13 11 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 8 8 7 7 7 7 7 8 9 9 10 10 9 8 7 7 7 8 9 10 10 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 4 2 2 5 8 9 9 10 10 11 12 12 13 14 14 13 11 10 9 8 7 6 6 6 7 8 8 9 9 10 10 9 9 9 10 11 12 15 16 15 13 12 11 11 11 12 12 11 10 9 9 9 10 10 11 11 9 8 7 7 8 8 7 7 7 8 8 8 7 7 7 5 2 -1 -3 -3 -0 3 6 9 11 12 12 14 15 17 17 17 17 17 17 17 18 19 20 22 22 22 21 21 19 17 15 13 11 9 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 nan
nan 8 7 7 6 6 7 7 8 9 10 10 10 10 9 9 9 9 9 10 11 10 9 8 8 9 11 11 11 10 9 10 10 10 10 10 10 10 10 9 8 9 9 9 9 10 9 10 10 10 11 12 12 11 11 11 11 11 11 11 11 10 10 9 8 5 3 2 3 6 8 9 9 10 11 12 13 14 14 13 12 10 10 9 9 9 8 8 7 8 8 8 8 9 10 10 10 9 8 9 9 12 16 19 19 17 14 12 11 11 10 9 8 6 5 5 6 7 9 10 11 11 9 8 8 7 6 5 6 6 7 7 7 7 8 7 6 5 3 0 -2 -3 -3 -2 -1 2 3 4 6 7 9 10 12 13 14 14 14 14 13 14 15 16 17 17 17 16 14 11 10 8 8 8 8 9 9 10 9 8 8 7 7 8 8 8 8 9 nan
nan 9 8 7 6 6 6 7 8 9 10 10 10 10 10 10 11 11 11 12 12 11 10 9 8 9 11 11 11 10 10 10 10 10 9 9 10 10 9 8 7 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 6 4 2 2 5 8 9 9 10 11 12 13 15 15 13 11 10 9 9 9 9 9 9 9 9 8 8 7 8 9 10 10 9 8 7 6 8 13 18 21 21 18 14 12 11 10 8 5 3 3 3 5 6 7 10 12 12 11 9 7 5 4 5 6 6 7 7 7 7 8 8 8 7 6 5 2 -0 -3 -4 -5 -4 -3 -2 -1 -1 0 2 4 7 9 10 10 9 8 8 8 9 10 12 14 14 12 11 11 11 11 10 10 10 11 10 9 8 8 8 8 8 8 8 8 9 nan
nan 9 8 7 7 6 6 6 7 8 9 9 10 10 10 11 11 12 12 12 11 11 10 9 9 9 10 11 11 10 9 9 9 9 10 10 10 10 9 8 8 8 7 8 9 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 9 7 5 2 2 5 8 10 11 11 12 12 13 15 15 14 13 11 9 9 8 8 8 8 9 9 9 8 7 7 8 9 10 10 8 6 3 3 7 12 17 22 21 19 16 14 12 9 5 3 2 3 5 6 8 11 13 12 10 8 5 4 5 6 8 8 7 7 7 8 8 8 9 8 8 6 5 3 1 -1 -3 -3 -3 -3 -2 -3 -3 -3 -2 0 3 4 6 6 5 5 5 5 6 8 11 13 14 15 15 15 14 13 12 12 12 10 8 7 7 8 8 7 7 7 8 9 nan
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nan 8 8 9 10 11 10 9 9 10 10 10 10 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 10 13 15 17 18 16 15 16 18 18 17 15 14 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 11 11 11 12 11 11 11 11 12 12 11 11 12 12 12 12 12 11 10 11 11 12 12 13 13 13 13 11 11 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 10 10 10 10 11 12 12 12 11 10 11 11 11 11 10 9 nan
nan 10 9 9 9 9 8 7 7 8 10 11 11 10 10 10 10 11 11 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 11 12 12 11 11 10 9 9 10 11 13 15 16 15 14 13 13 14 15 15 14 12 11 10 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 13 14 15 15 16 15 14 13 11 10 9 8 7 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 9 9 9 nan
nan 14 13 12 11 9 6 4 4 5 7 9 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 11 12 13 14 15 14 13 12 12 11 12 11 11 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 14 15 17 17 16 14 11 9 7 6 6 7 8 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 10 11 12 12 12 11 10 9 9 9 9 9 nan
nan 18 18 17 15 12 8 6 4 3 4 7 8 10 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 9 10 10 11 12 14 14 14 13 12 12 11 11 10 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 13 13 11 9 9 10 13 15 15 14 12 10 8 7 7 7 8 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 12 11 11 11 10 9 9 8 nan
nan 18 21 22 20 16 11 8 6 5 6 7 8 10 11 11 11 10 10 10 10 9 9 9 10 10 10 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 13 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 11 11 12 12 11 11 11 11 11 11 12 12 10 8 7 8 10 13 14 14 14 13 12 10 9 8 8 7 7 6 6 6 7 8 9 10 10 10 10 11 11 12 12 12 11 11 10 9 9 9 10 10 11 12 12 12 12 12 11 10 9 9 nan
nan 16 20 23 23 18 12 8 6 7 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 10 10 10 11 11 10 9 8 8 9 11 13 14 14 14 14 12 11 9 9 8 8 8 7 7 7 8 9 9 10 10 10 11 12 13 13 12 12 11 11 10 9 9 10 11 12 13 13 13 12 12 12 12 12 11 nan
nan 13 17 21 21 18 12 8 7 7 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 8 8 7 8 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 13 13 12 10 8 7 8 9 10 10 10 11 11 12 12 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 12 12 13 13 12 11 11 10 10 10 11 10 10 9 9 9 9 10 10 11 11 13 13 13 13 13 12 12 11 11 12 13 13 12 12 12 12 12 13 12 13 13 14 nan
nan 13 16 18 18 17 14 11 9 7 6 6 7 9 10 11 11 11 10 10 9 9 9 10 10 11 11 11 11 10 9 9 8 7 8 8 8 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 13 14 16 16 16 14 11 7 4 3 5 8 10 12 12 12 12 13 13 13 13 13 12 12 12 11 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 12 12 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 11 11 11 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 12 12 13 13 13 13 12 13 13 13 14 14 14 13 12 11 11 12 13 13 13 13 13 14 nan
nan 13 14 16 17 17 16 14 11 7 6 6 7 9 10 10 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 10 9 8 7 7 7 8 10 10 11 12 12 12 12 11 10 10 10 10 10 10 11 11 13 15 18 20 21 20 16 9 4 -1 -2 1 7 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 14 14 14 14 13 13 12 12 12 13 13 14 14 13 12 11 10 10 12 13 13 13 12 12 11 nan
nan 12 13 14 15 16 16 14 11 9 7 7 8 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 11 10 9 8 8 8 9 10 11 12 12 12 12 11 10 9 9 9 9 10 10 11 14 17 22 25 26 23 17 10 4 -3 -5 -2 3 8 11 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 14 14 15 16 16 15 14 13 12 11 11 11 12 13 13 13 13 11 10 9 10 11 12 13 13 12 12 10 nan
nan 11 11 12 13 13 13 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 9 9 9 9 10 11 11 12 12 12 11 11 10 9 9 9 10 10 11 13 16 22 26 28 26 21 14 7 -2 -7 -5 -0 6 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 13 13 13 14 15 15 14 13 12 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 11 12 12 13 13 12 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 12 11 10 9 9 9 10 11 11 11 12 12 11 10 10 10 10 11 11 10 11 14 19 25 28 28 24 18 10 -0 -6 -4 -1 5 9 10 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 12 12 11 11 11 11 12 12 12 11 10 10 10 11 11 11 12 12 12 12 11 11 10 9 8 8 9 11 12 13 13 14 nan
nan 11 11 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 12 13 13 13 12 10 9 9 10 10 11 11 11 11 11 11 10 10 11 11 10 10 9 11 16 21 25 27 25 21 12 3 -1 -1 1 6 9 10 10 10 10 11 11 12 12 12 11 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 11 11 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 10 10 9 9 9 8 8 9 10 11 12 13 14 nan
nan 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 9 11 12 13 14 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 9 13 16 20 22 21 17 12 7 4 4 5 8 9 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 11 10 10 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 10 10 9 8 8 8 8 8 9 10 11 12 12 13 13 13 12 10 9 8 8 8 9 9 9 9 9 10 10 11 11 nan
nan 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 9 10 12 14 15 14 13 11 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 10 10 10 10 9 8 8 8 8 8 7 8 8 10 12 13 13 13 13 13 12 11 10 9 8 9 9 9 9 9 9 9 9 9 10 nan
nan 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 11 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 12 11 10 10 9 8 8 8 8 8 8 8 9 11 12 13 14 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 nan
nan 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 11 12 12 13 13 12 12 11 11 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 12 11 10 9 9 8 8 8 9 9 10 12 13 13 14 13 12 11 10 10 10 11 12 12 12 12 11 10 10 10 10 9 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 14 13 12 10 9 10 11 11 12 12 12 12 12 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 14 14 13 13 12 11 10 9 9 9 9 9 10 12 12 13 14 14 13 11 10 10 10 10 11 12 12 13 12 12 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 12 13 13 13 13 12 11 9 9 8 8 8 10 11 12 14 14 14 13 12 11 10 10 10 11 11 12 12 12 12 11 11 10 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 12 13 13 12 11 10 9 8 7 8 9 10 12 14 13 13 12 12 11 11 10 10 10 11 11 11 11 11 11 11 10 11 11 nan
nan 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 12 11 11 11 11 12 12 12 11 10 9 8 8 8 9 10 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 13 13 12 11 11 11 11 11 10 9 8 7 8 10 11 11 11 11 12 12 12 12 12 12 13 13 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 11 11 10 9 9 8 8 9 11 13 13 14 14 14 13 13 12 12 11 11 10 10 9 9 9 9 9 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 12 12 11 11 10 8 7 7 8 9 10 11 11 11 11 11 12 12 12 12 13 13 13 14 13 13 13 12 12 12 12 12 12 11 11 12 12 12 13 13 13 12 12 11 11 11 11 10 10 9 9 8 9 11 12 13 14 14 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 10 9 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 14 15 15 15 14 12 12 11 10 8 6 6 7 8 10 11 11 11 11 11 11 11 12 12 13 14 15 15 14 14 13 11 11 10 10 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 11 10 10 9 8 8 9 10 11 13 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 14 15 16 16 15 13 12 12 11 8 7 6 7 8 10 11 12 12 12 11 11 11 12 13 15 17 17 16 15 13 11 9 8 7 8 10 11 12 12 11 11 11 12 13 13 13 13 12 12 12 12 11 10 8 7 7 7 9 10 12 13 13 13 12 12 12 11 12 12 12 12 12 11 11 11 11 11 10 10 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 15 16 16 15 14 13 13 12 10 8 7 7 8 9 10 11 12 12 11 10 10 12 15 17 19 19 17 14 11 9 6 5 5 8 11 13 13 12 11 10 11 12 13 13 13 13 12 12 12 12 12 10 8 7 6 7 8 10 12 12 13 13 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 12 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 12 14 15 15 14 14 14 15 14 12 11 9 8 8 9 9 10 11 11 10 10 10 12 15 17 19 19 17 14 11 8 6 4 5 9 12 13 12 10 8 9 10 11 12 13 12 12 12 12 12 12 13 11 10 8 8 8 9 10 11 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 nan
nan 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 12 13 13 14 14 15 15 16 15 14 12 11 10 9 8 9 9 9 9 9 10 11 13 15 17 18 18 16 13 11 8 6 5 7 10 12 11 9 7 6 7 10 11 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 10 11 11 12 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 13 14 14 15 15 15 14 13 13 13 11 10 9 9 8 9 9 10 11 12 14 16 17 18 17 15 13 10 8 6 6 7 9 10 9 6 5 6 8 10 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 15 14 13 12 12 13 13 12 11 10 9 9 9 10 11 12 14 16 17 17 17 15 14 12 10 8 6 5 6 8 9 8 7 6 6 8 9 10 11 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 8 7 3 3 9 13 13 13 15 21 21 15 9 6 5 4 4 3 3 3 3 3 2 2 2 1 1 1 8 16 22 24 23 27 38 49 56 57 54 53 59 64 67 74 76 61 41 25 17 13 12 16 18 18 16 11 6 6 3 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 8 8 9 9 11 17 25 40 93 144 178 184 172 160 157 160 165 167 171 178 194 206 206 211 207 195 186 184 188 196 193 180 161 149 166 190 215 256 314 366 353 251 152 77 32 13 4 3 3 3 2 1 0 1 3 7 10 11 19 23 25 27 25 18 12 9 7 7 9 11 12 13 15 18 21 22 24 25 25 24 25 23 21 20 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 8 13 16 17 17 15 15 11 8 6 5 4 3 3 3 2 2 2 2 2 1 1 0 0 4 10 17 23 26 29 30 33 36 34 25 21 24 38 51 47 41 35 27 19 12 9 5 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 2 6 9 9 7 5 2 1 1 1 2 2 6 26 46 59 69 60 52 48 50 59 66 71 77 93 119 153 192 223 216 195 181 176 181 182 175 160 146 157 180 213 260 311 334 281 193 107 44 12 4 2 3 3 4 3 2 1 0 1 1 2 6 14 21 27 31 33 27 19 13 11 11 15 18 19 22 26 28 28 28 26 23 20 19 19 18 18 20 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 3 2 3 7 11 17 21 23 19 12 9 7 5 4 3 3 3 3 2 2 2 2 1 1 0 0 0 2 5 10 18 25 28 29 31 33 29 17 9 9 15 22 25 26 30 28 23 21 21 16 8 2 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 3 3 3 2 3 4 4 2 0 1 0 0 0 0 0 0 0 2 4 3 3 5 8 9 9 11 17 21 24 33 50 83 138 208 229 203 173 157 157 157 155 150 136 136 156 198 243 281 259 201 133 70 24 8 5 4 5 6 6 5 3 2 1 1 1 4 7 10 13 15 24 29 30 27 23 20 21 22 23 26 33 42 45 41 34 28 22 19 17 16 16 18 21 22
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 3 3 4 4 5 8 12 17 19 13 9 7 5 4 3 2 2 3 2 2 2 2 1 0 0 0 0 0 0 1 5 13 22 30 37 43 44 40 28 15 8 6 6 8 12 22 26 25 27 30 27 18 11 10 10 9 7 5 2 0 0 1 2 2 2 1 1 1 1 2 3 5 9 10 9 6 3 1 2 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 9 11 14 22 41 86 153 195 185 152 127 126 129 125 115 101 123 177 218 216 202 163 113 66 33 13 8 8 9 9 10 9 8 6 4 3 3 9 14 18 21 23 23 27 28 27 26 40 32 29 26 27 32 40 44 46 45 42 31 24 20 16 14 14 17 20 21
0 0 0 0 0 0 1 2 1 0 0 1 1 0 0 0 0 3 3 3 3 3 3 4 5 7 9 9 7 6 5 4 3 2 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 2 9 18 29 40 51 59 57 42 27 16 9 6 7 6 8 9 9 13 18 19 17 15 16 16 14 13 11 8 5 4 3 4 6 8 5 4 4 5 6 8 12 14 14 12 8 3 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 6 7 11 22 44 78 112 122 107 85 79 83 84 79 55 73 125 168 150 118 83 46 20 11 11 12 13 14 16 18 16 13 10 8 7 7 11 16 22 29 37 49 59 61 52 36 45 41 36 35 37 42 47 49 48 45 39 29 22 17 15 14 13 16 16 16
0 0 0 0 1 2 5 4 2 1 0 1 1 0 0 0 0 2 3 4 4 4 3 3 4 5 6 6 6 5 5 4 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 7 14 24 33 41 49 52 48 40 30 20 11 13 11 8 5 3 2 5 7 9 10 10 10 11 11 9 7 7 7 7 8 11 14 12 11 10 10 12 15 19 20 18 15 11 5 2 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 3 1 7 14 20 27 32 38 35 34 41 55 75 53 42 52 62 59 50 31 14 5 7 13 17 20 22 24 26 26 23 18 12 9 9 11 13 16 23 33 51 75 94 91 78 68 58 53 53 53 57 59 58 52 43 26 22 18 14 14 17 14 12 11 11
0 0 0 0 0 1 2 3 3 2 1 1 0 1 1 0 0 1 3 4 4 4 3 3 4 4 5 5 5 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 18 28 36 41 42 44 44 43 39 32 30 27 22 18 14 12 12 13 12 10 8 9 10 10 10 7 7 9 12 13 13 14 13 13 12 12 13 17 19 20 19 16 12 8 4 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 2 4 7 11 15 22 26 27 26 21 18 14 10 6 4 4 7 14 20 23 26 29 31 33 32 25 16 10 8 8 10 14 20 31 51 83 118 114 107 96 85 75 70 67 64 59 52 45 32 24 20 16 13 15 17 15 11 9 10
1 1 0 0 0 2 0 1 2 1 1 1 1 2 1 1 1 1 3 4 5 5 4 3 4 4 4 4 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 19 27 32 36 39 43 45 45 47 44 41 38 36 35 35 36 35 32 28 25 30 31 31 32 31 29 26 24 22 18 15 12 9 7 6 6 8 9 7 6 7 7 5 3 2 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 5 6 6 5 5 5 3 1 0 1 3 7 11 13 15 21 27 30 31 33 32 25 13 5 3 4 6 10 18 32 53 79 104 115 114 108 102 92 82 68 51 35 24 26 19 15 15 15 14 14 13 11 10 9 12
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