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 nan
nan 6 7 9 11 13 13 12 10 8 7 6 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 13 14 14 12 10 7 6 6 7 9 12 15 16 15 14 12 11 11 10 10 10 10 11 12 13 13 13 13 12 11 10 9 8 8 8 8 8 7 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 8 8 8 9 10 10 12 13 14 15 14 13 12 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 6 6 6 5 5 5 6 7 8 8 9 10 10 10 10 10 11 11 11 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 12 12 9 8 8 9 10 10 10 9 7 4 5 7 10 nan
nan 3 5 7 10 13 13 13 11 10 8 7 6 6 7 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 13 13 13 12 9 7 7 7 8 10 13 15 16 15 13 12 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 8 7 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 9 10 12 14 15 16 16 15 13 12 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 9 8 7 6 5 5 5 5 6 7 8 8 9 10 10 10 11 11 11 11 11 11 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 8 8 8 8 8 11 12 11 9 8 8 8 8 8 8 8 7 7 8 10 nan
nan 3 5 7 10 12 14 14 13 12 10 9 8 8 9 9 10 10 11 11 10 10 9 8 8 8 8 8 9 9 10 10 9 9 9 10 11 12 12 11 9 7 7 7 9 11 14 16 16 15 14 14 13 13 14 13 13 12 12 12 11 11 10 9 8 7 7 7 8 8 9 9 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 12 14 16 16 16 15 13 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 8 7 6 6 6 6 6 7 8 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 8 7 7 9 11 11 10 8 7 6 5 5 7 9 9 10 10 10 nan
nan 4 6 8 10 13 15 16 15 14 12 10 9 9 9 9 9 10 10 11 10 9 8 7 7 7 7 8 8 9 9 8 8 8 8 9 10 11 10 9 7 7 8 10 12 14 15 16 16 16 16 15 15 14 14 13 12 12 11 10 10 9 8 7 7 6 6 7 8 9 10 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 10 11 13 14 15 15 14 13 12 11 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 8 7 8 11 11 11 9 7 4 3 4 6 8 10 10 10 10 nan
nan 5 6 9 12 16 18 17 15 13 11 10 9 10 10 10 10 11 11 12 11 10 8 8 7 7 7 8 9 10 9 8 8 8 9 9 9 9 7 6 6 7 9 11 13 15 16 16 16 16 16 15 14 13 13 12 11 11 10 9 8 8 7 7 6 6 7 8 9 10 10 10 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 11 12 13 14 13 13 12 12 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 7 8 10 12 11 9 6 4 4 5 6 8 9 9 9 9 nan
nan 6 7 10 15 18 19 17 13 10 7 7 10 12 13 14 14 14 14 13 12 10 9 8 9 9 9 9 10 11 10 9 9 10 11 10 8 5 4 5 6 7 7 9 11 13 15 16 16 15 14 13 12 11 11 10 10 9 9 8 8 7 7 7 7 7 8 8 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 13 13 12 11 10 9 9 9 8 8 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 8 9 9 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 9 9 9 9 8 8 9 11 12 12 10 7 5 5 6 7 8 8 8 9 9 nan
nan 6 7 12 16 18 17 14 11 7 6 7 11 15 18 20 21 19 17 14 12 9 9 9 10 10 10 10 10 10 10 10 10 11 11 9 5 2 2 4 6 8 8 8 10 13 14 15 15 13 12 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 13 12 11 10 9 9 9 9 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 8 9 9 9 8 8 9 10 12 13 12 10 8 6 6 6 7 8 8 9 9 9 nan
nan 7 8 12 15 15 14 12 9 8 8 10 13 16 20 23 24 23 19 15 12 10 9 10 10 10 10 9 9 9 9 9 10 10 9 7 4 2 2 4 6 9 11 13 14 15 15 15 13 12 10 9 8 8 8 8 8 7 7 7 8 8 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 12 14 14 13 13 11 10 9 9 9 9 9 10 11 11 11 10 8 8 8 8 9 10 10 10 11 11 10 10 9 8 7 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 8 9 9 9 8 9 10 11 12 13 13 11 9 7 6 6 6 7 8 9 9 8 nan
nan 9 11 12 13 12 12 11 11 11 11 11 12 13 16 20 22 22 19 15 13 12 11 11 11 10 9 8 8 8 9 9 9 9 8 6 4 4 4 5 7 10 13 16 17 16 15 13 11 10 9 9 8 8 8 8 7 7 7 7 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 14 15 14 13 13 12 11 11 10 10 10 10 10 11 11 11 10 9 9 8 9 9 10 11 11 11 11 10 9 8 7 7 7 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 12 12 10 8 7 6 5 7 8 9 9 8 nan
nan 11 12 12 10 8 8 10 13 14 12 10 8 8 10 14 18 19 17 15 14 14 13 12 12 11 9 8 8 8 9 10 10 9 8 6 6 6 7 7 9 11 14 16 16 15 13 11 10 9 9 9 8 8 8 8 8 7 7 7 8 9 9 10 11 12 12 12 11 11 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 9 9 9 10 11 12 13 14 14 14 13 13 12 12 12 11 11 11 11 11 12 12 11 10 9 9 9 9 10 11 11 11 12 11 10 9 7 6 7 7 8 8 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 10 10 11 11 11 10 8 7 6 6 7 9 9 8 8 nan
nan 10 11 10 8 4 4 7 11 14 12 7 4 3 4 9 14 16 16 15 16 16 16 15 13 12 10 9 9 8 9 10 11 11 9 9 9 9 9 10 10 12 14 14 14 13 11 10 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 11 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 10 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 8 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 10 9 7 6 6 7 9 9 8 8 nan
nan 8 8 7 5 3 2 4 9 12 10 5 3 3 4 8 13 17 18 18 18 17 17 16 14 12 10 9 8 8 9 11 12 12 12 12 11 11 10 10 10 11 12 12 12 11 10 9 8 8 9 9 9 8 8 8 7 7 8 9 10 10 11 11 12 13 13 14 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 7 7 8 8 9 10 11 11 10 10 10 10 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 11 11 12 10 9 8 7 6 7 8 8 8 8 nan
nan 7 7 6 4 3 2 2 4 6 6 4 4 6 8 11 15 18 19 18 17 16 15 14 13 10 8 6 6 6 8 11 13 13 13 13 12 11 10 9 9 10 11 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 10 9 9 9 9 10 11 12 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 10 9 8 7 7 7 7 8 8 nan
nan 8 7 6 5 3 3 4 4 4 3 4 7 9 11 13 15 16 16 14 12 11 10 10 10 8 6 5 4 5 7 10 13 14 14 13 12 11 10 9 9 10 10 11 11 10 10 9 9 8 8 8 9 10 11 12 13 12 12 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 10 9 8 7 7 8 9 11 12 13 14 14 13 13 13 12 12 11 11 11 11 11 12 12 11 11 10 10 10 10 10 9 8 8 7 7 8 8 9 10 10 11 11 11 10 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 13 13 12 10 9 8 8 8 7 7 8 nan
nan 8 8 7 6 5 7 10 10 9 8 8 9 11 12 13 14 14 13 11 8 6 6 7 7 7 7 5 5 4 6 9 13 15 15 14 12 11 10 9 10 10 10 10 10 10 10 9 9 8 9 10 12 14 16 16 16 14 13 11 11 11 12 12 12 11 11 11 11 11 10 9 9 9 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 11 9 8 7 6 7 8 9 11 13 14 16 17 17 16 15 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 8 7 7 7 7 8 9 10 10 11 11 11 11 9 8 7 7 8 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 11 11 12 12 13 14 13 11 10 9 8 8 7 7 7 nan
nan 8 9 8 7 8 11 14 14 13 11 10 12 14 14 14 14 13 12 10 8 6 6 7 8 9 9 7 5 4 5 8 12 15 16 15 13 11 10 10 10 10 10 10 9 10 10 9 9 9 10 12 15 17 18 17 15 13 12 11 11 11 10 10 11 11 11 11 10 10 9 8 8 9 11 11 11 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 8 7 6 6 7 8 10 11 13 14 17 20 21 20 18 15 13 13 13 13 13 12 11 10 10 9 9 9 9 10 9 9 8 7 7 7 7 8 9 9 9 9 10 11 11 10 8 7 7 8 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 10 10 9 9 10 10 11 11 12 13 13 13 12 10 9 8 8 7 7 7 nan
nan 10 10 10 10 11 13 14 13 12 11 13 16 19 19 17 15 13 12 11 10 10 9 10 11 12 11 10 6 4 5 8 11 15 17 17 15 12 11 11 11 11 10 9 9 9 9 9 9 10 11 13 16 16 16 14 11 10 10 10 10 9 8 9 9 10 11 11 11 10 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 11 11 11 12 12 12 10 9 7 6 6 6 7 8 10 11 13 15 17 21 23 22 20 16 14 13 13 13 12 11 10 9 9 8 9 9 9 9 9 9 8 7 7 7 8 8 9 9 8 7 8 10 11 11 9 7 6 7 8 9 9 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 9 9 10 10 10 11 12 13 13 12 11 10 9 8 8 7 7 nan
nan 12 12 11 11 12 12 11 9 9 11 13 18 22 21 18 16 14 14 14 14 13 13 13 14 15 14 12 9 6 6 8 12 15 18 18 16 13 11 11 11 11 10 9 9 9 8 9 9 10 11 13 14 14 12 9 7 6 6 8 9 8 9 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 11 9 8 6 6 6 7 8 9 10 12 13 15 17 20 21 20 19 16 14 13 13 12 12 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 9 8 7 8 9 11 11 9 8 7 7 8 8 8 8 7 7 8 8 8 9 9 10 10 11 12 12 11 10 10 10 10 10 11 12 13 13 13 13 11 10 10 9 9 8 8 nan
nan 15 13 11 9 8 8 7 7 7 9 11 13 14 14 14 15 15 16 17 17 16 15 14 15 15 14 12 10 9 9 10 13 16 18 19 18 14 12 11 11 11 11 10 9 9 8 8 9 9 11 12 13 12 10 7 4 3 4 6 8 9 11 12 13 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 10 9 7 6 5 6 7 8 10 11 12 13 15 16 17 17 17 16 15 14 13 12 11 11 11 10 10 9 8 8 8 9 9 9 9 8 8 7 8 8 10 10 10 8 8 8 9 11 11 9 8 7 7 8 8 7 7 7 7 7 8 8 8 8 9 10 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 10 9 8 nan
nan 15 13 8 4 3 4 6 7 7 7 6 5 6 7 9 12 16 19 21 20 17 14 13 12 12 11 9 8 9 11 12 15 17 20 21 19 15 13 12 11 12 12 11 10 9 9 8 9 9 10 11 12 12 9 7 4 3 4 6 8 9 11 13 14 14 13 12 12 12 11 11 11 10 10 10 10 9 9 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 8 7 6 6 6 7 9 10 11 12 13 14 14 14 14 14 13 13 13 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 10 11 10 8 7 7 9 11 11 9 8 7 7 7 7 7 7 7 7 8 8 8 8 9 10 11 11 10 10 11 11 12 12 13 13 13 12 12 12 13 13 12 11 11 10 10 10 9 nan
nan 12 9 5 2 1 3 6 8 8 7 5 4 4 6 8 11 14 18 20 19 16 13 11 9 8 5 4 5 7 11 14 17 20 23 22 20 16 13 12 11 11 12 12 11 10 9 9 9 10 10 10 10 9 7 6 4 4 6 7 8 9 10 12 14 14 14 12 12 11 11 11 11 10 10 10 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 7 6 6 7 8 9 10 11 12 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 8 7 7 8 8 9 9 9 9 9 9 8 8 9 9 10 10 9 7 7 8 10 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 11 11 12 11 12 14 14 14 12 12 13 14 14 13 12 11 10 10 11 11 nan
nan 8 6 4 4 4 5 6 8 9 9 8 7 8 8 9 10 13 15 17 16 14 12 9 6 4 2 1 2 5 9 14 18 22 24 23 20 17 14 12 11 11 12 12 11 10 10 10 10 11 11 9 8 6 5 4 4 5 7 8 10 11 13 14 15 15 14 13 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 11 10 9 8 7 7 7 7 8 9 9 10 11 12 12 12 12 12 11 11 12 12 11 11 10 10 9 8 8 8 7 8 8 9 9 10 10 10 10 10 9 8 8 9 9 10 9 9 9 9 10 10 10 9 8 7 7 6 6 7 7 8 8 9 9 10 11 12 12 12 12 12 12 11 10 11 13 13 13 12 12 13 14 14 13 12 11 11 11 11 11 nan
nan 5 4 3 5 6 7 8 9 11 12 12 11 11 11 11 11 12 14 15 15 14 11 8 5 3 3 2 4 6 9 13 16 20 23 22 19 16 14 12 11 11 12 12 11 11 11 11 11 11 10 8 6 4 4 4 4 6 7 8 10 13 16 18 18 17 15 14 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 7 7 7 8 9 9 10 10 10 11 11 11 11 10 11 11 11 11 11 10 10 9 8 8 7 7 8 8 9 9 10 10 11 11 11 11 10 8 8 8 9 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 8 8 9 9 10 11 11 11 12 12 12 12 12 11 11 11 11 11 10 11 12 13 13 13 12 12 11 11 11 11 11 nan
nan 3 3 3 4 6 7 9 12 15 16 15 13 12 12 12 13 13 14 15 16 15 13 9 6 4 5 6 7 9 11 13 15 18 20 19 17 15 13 12 11 11 12 12 12 12 12 12 11 9 7 5 3 2 2 3 4 5 5 5 7 11 16 20 20 18 16 14 12 10 10 10 10 10 11 10 10 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 9 9 8 7 7 7 8 9 10 10 11 11 11 12 12 12 11 10 8 7 7 8 9 10 10 10 10 10 10 10 9 8 7 6 6 6 7 8 9 10 10 11 11 10 10 11 11 11 11 11 11 11 11 10 9 8 9 10 11 11 11 11 11 11 11 11 11 11 nan
nan 6 6 5 4 5 6 9 14 18 18 17 15 14 15 15 16 15 14 15 15 15 13 8 4 3 5 8 9 11 12 13 16 17 17 16 15 14 13 12 11 11 12 13 13 13 13 12 10 8 6 4 3 2 2 3 3 3 3 4 5 10 16 20 20 18 16 13 11 9 9 9 9 10 11 11 10 9 9 10 10 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 8 8 9 10 11 11 12 12 12 12 12 11 11 9 8 7 7 8 9 10 10 10 10 10 10 9 9 8 7 7 6 7 8 9 9 10 11 11 10 10 10 11 11 10 10 10 10 11 10 9 8 8 9 9 10 10 11 10 11 11 11 12 11 11 nan
nan 11 11 9 7 5 6 8 12 15 15 16 16 16 18 19 19 17 15 14 12 10 8 3 1 1 4 7 9 10 11 12 15 16 15 14 13 13 12 12 11 11 11 12 13 14 14 12 10 6 4 3 4 4 5 5 5 5 5 6 8 12 16 19 18 16 14 12 9 8 8 9 9 10 11 12 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 9 9 9 9 8 8 9 10 10 11 10 8 8 8 8 8 9 10 11 12 12 12 12 12 11 11 11 10 9 7 6 6 7 9 10 11 11 11 11 10 10 9 8 8 7 7 7 8 9 9 10 10 10 10 10 11 11 11 10 9 10 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 nan
nan 17 15 12 9 7 7 8 10 10 11 13 15 18 20 21 21 20 17 13 9 4 1 -1 -0 2 6 8 9 9 10 12 14 14 13 12 12 12 12 11 11 11 11 12 13 14 14 12 9 6 3 1 2 4 7 8 9 10 10 11 13 15 16 16 15 14 12 11 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 10 9 9 9 8 8 7 8 9 10 10 10 9 8 8 9 10 11 11 12 12 12 12 12 11 11 10 10 9 8 7 6 6 8 9 11 11 11 11 11 10 10 9 9 8 7 7 8 8 8 8 9 10 10 10 11 11 12 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 19 16 12 8 7 7 8 9 10 12 15 17 19 20 19 19 18 16 11 5 -1 -4 -3 2 5 8 9 9 9 10 11 12 13 12 12 11 11 11 11 11 10 11 12 13 14 14 12 9 6 3 1 1 4 7 10 12 14 14 15 16 15 14 13 12 12 11 10 10 10 10 11 11 11 12 12 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 11 10 10 9 9 8 8 7 7 7 8 9 10 9 9 9 9 10 11 12 12 12 12 11 11 11 10 10 10 9 9 8 6 6 6 8 10 11 10 9 9 9 10 9 9 8 8 8 8 8 7 7 8 9 10 10 11 12 12 12 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 15 13 10 6 3 3 6 10 15 18 20 21 19 16 13 13 12 10 7 1 -4 -5 -2 2 5 7 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 11 12 13 13 13 11 9 7 4 3 4 7 10 12 14 15 15 15 14 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 10 10 9 9 8 8 8 7 7 7 8 8 9 9 9 10 12 12 12 12 11 11 11 11 11 10 10 9 9 8 7 6 5 7 9 11 11 10 8 8 8 8 9 8 8 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 10 10 11 10 10 10 10 9 9 9 9 nan
nan 8 9 7 4 2 1 4 10 16 21 22 20 17 11 8 7 6 5 3 -1 -4 -5 -1 3 5 7 8 9 9 9 10 11 12 13 13 13 12 11 10 10 10 11 12 13 13 12 11 9 7 5 5 7 10 12 13 14 13 13 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 10 10 9 9 8 8 8 7 7 6 7 7 8 9 10 11 13 13 12 12 11 11 10 10 10 10 10 9 9 8 6 5 6 7 9 11 12 11 9 8 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 11 11 11 10 10 9 9 9 nan
nan 3 5 7 7 7 4 3 6 11 15 17 16 13 8 4 3 3 3 3 0 -1 0 3 6 9 10 10 9 8 8 9 11 13 14 14 13 12 11 10 10 10 11 13 13 13 13 11 10 8 7 7 9 11 12 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 10 9 9 9 9 8 8 7 7 7 7 8 10 11 13 14 14 13 12 11 10 10 10 10 10 10 9 8 7 6 5 6 7 9 11 12 12 11 10 8 8 7 7 7 7 7 8 8 9 9 10 11 11 11 10 9 9 10 11 11 11 10 10 11 12 12 12 11 10 11 11 12 12 12 11 11 11 11 11 10 nan
nan 3 6 11 14 14 10 6 5 6 9 12 13 11 6 3 2 3 4 5 5 5 7 9 12 13 13 11 8 7 7 9 11 13 14 14 14 13 12 11 10 10 11 13 14 14 13 12 11 9 8 9 10 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 8 7 7 8 8 9 10 12 13 14 14 13 12 11 10 10 10 10 10 9 9 8 7 6 5 5 6 8 10 12 13 12 11 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 10 11 12 13 12 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 5 8 12 16 16 15 11 8 8 10 12 13 11 7 4 3 4 5 7 8 9 12 14 15 15 14 10 8 6 6 8 10 12 13 14 14 13 12 11 10 10 11 12 14 14 14 14 12 11 10 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 10 10 9 9 9 8 8 9 9 10 11 12 12 12 12 11 10 10 10 10 10 9 9 8 8 8 9 9 10 11 13 13 14 13 12 11 10 10 10 10 10 9 9 8 8 8 7 6 6 6 7 9 11 12 13 13 11 10 9 9 10 10 11 11 11 10 10 10 10 10 8 8 8 9 11 11 11 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 11 10 10 10 nan
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nan 4 5 4 6 10 13 14 13 11 12 13 13 11 8 7 6 7 8 9 10 11 13 14 13 12 9 7 6 5 5 6 8 10 13 14 13 13 12 11 10 11 12 13 14 15 15 15 14 12 11 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 9 9 10 12 13 13 12 11 11 11 11 11 10 9 8 8 8 8 10 11 12 13 13 12 12 12 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 11 11 12 12 11 11 11 11 11 10 7 6 6 7 10 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 nan
nan 8 8 7 7 9 11 12 12 12 12 13 13 12 9 8 7 7 8 8 9 10 12 13 13 11 9 7 6 6 5 6 8 11 13 14 14 13 12 11 11 12 12 13 14 14 15 15 14 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 9 9 10 11 13 13 13 12 11 11 11 11 10 9 8 8 8 9 11 12 12 13 12 12 11 11 11 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 7 8 9 10 10 11 11 11 10 10 10 10 9 8 7 7 7 8 10 11 11 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 nan
nan 12 13 13 13 13 13 13 12 12 12 13 13 12 10 8 7 7 7 8 9 10 11 12 13 12 10 9 7 6 6 6 8 11 13 14 14 13 12 11 12 12 13 13 14 14 15 14 13 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 12 11 11 10 10 9 8 8 8 8 8 9 10 11 13 13 13 12 11 11 10 10 9 9 8 8 9 10 11 12 13 13 12 12 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 8 6 6 6 7 8 9 10 11 11 11 11 10 10 9 9 8 9 9 10 10 11 10 10 10 11 11 12 12 12 11 11 11 11 10 8 8 8 9 10 10 10 10 10 10 nan
nan 12 13 15 16 16 15 14 13 12 12 13 13 13 12 9 8 7 7 7 8 9 10 12 13 12 11 10 9 8 8 7 9 10 12 13 13 13 12 12 12 13 13 13 14 15 15 14 14 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 12 12 11 11 10 9 8 8 8 8 8 8 8 9 11 12 13 13 13 12 11 10 9 9 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 8 8 9 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 11 12 12 12 11 10 10 10 11 11 12 12 11 11 11 10 9 8 7 8 8 9 9 9 10 10 10 10 nan
nan 7 8 10 12 13 14 14 13 13 12 13 14 14 13 11 9 7 6 6 7 8 10 11 12 12 12 11 10 10 9 9 10 11 12 12 13 12 12 12 13 13 13 13 14 14 15 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 10 11 12 13 13 12 11 10 9 8 8 9 9 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 8 8 9 9 9 9 8 8 8 8 9 8 8 8 7 7 8 8 9 9 10 11 11 11 12 12 12 11 11 12 13 13 12 11 10 9 9 9 10 11 11 10 10 10 10 9 8 7 7 8 8 8 8 9 9 9 10 nan
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nan 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 11 12 12 11 11 11 11 11 11 11 12 13 14 15 16 17 18 20 20 21 21 20 19 17 17 16 15 15 15 15 14 13 12 11 8 7 7 7 7 8 9 9 9 10 11 13 15 17 17 17 16 16 16 18 19 19 17 13 9 8 8 9 9 10 11 11 11 14 17 20 22 19 11 6 1 0 2 6 9 10 11 11 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 10 10 10 10 10 10 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 nan
nan 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 11 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 8 9 9 9 9 10 10 11 11 11 11 12 11 11 11 10 9 9 9 10 10 10 11 12 14 15 17 19 20 21 21 20 19 18 17 17 17 16 16 15 13 11 8 7 7 8 9 10 11 11 11 12 13 14 16 17 17 16 15 15 16 17 17 17 15 12 11 10 11 11 11 11 11 11 12 13 17 21 24 22 15 9 2 -1 1 4 8 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 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 nan
nan 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 10 9 8 8 8 9 10 10 10 11 12 12 12 11 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 13 15 17 19 21 21 21 20 20 20 19 18 18 16 14 11 10 9 9 10 11 12 12 12 12 12 13 14 15 14 14 14 14 15 15 15 15 14 13 12 13 13 12 11 11 11 12 12 12 12 14 19 22 22 18 13 5 0 1 4 7 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 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 11 nan
nan 8 8 9 9 9 9 9 10 11 11 11 12 12 12 11 11 10 9 9 10 10 9 8 8 8 9 10 10 11 11 12 11 10 10 10 10 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 11 12 13 16 17 19 20 22 22 23 22 22 21 19 17 15 13 11 11 11 12 13 13 13 12 12 13 14 14 13 12 11 11 13 15 16 15 14 12 10 11 11 12 12 11 11 12 12 12 11 11 12 15 19 21 19 15 7 2 3 4 8 10 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 13 15 16 17 19 21 23 24 24 23 22 20 17 15 13 13 12 13 14 15 15 15 15 15 15 15 14 12 11 9 11 14 16 17 15 12 9 6 7 8 10 11 11 12 12 13 12 11 10 11 15 18 21 19 14 8 4 4 6 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 10 10 11 11 11 10 10 10 9 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 14 14 15 16 18 20 23 24 24 23 22 19 16 14 13 13 13 13 15 16 17 18 18 18 18 18 16 13 11 10 12 15 18 18 15 11 6 4 5 7 9 11 11 11 11 12 12 11 11 12 15 18 20 18 13 8 5 6 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 11 11 10 11 11 11 10 10 11 12 12 11 10 9 9 9 9 9 10 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 14 15 16 19 22 23 23 21 19 17 15 14 14 14 13 14 15 17 18 19 20 21 21 19 17 14 12 11 13 17 19 20 16 11 7 6 7 8 10 12 12 12 11 12 12 11 11 12 14 16 18 16 12 9 8 8 9 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 10 9 9 9 9 10 10 11 10 10 9 10 10 11 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 13 13 13 12 12 12 12 13 15 18 20 21 21 19 16 15 14 14 14 14 14 14 15 17 18 19 20 20 20 19 18 16 15 14 15 16 17 18 16 12 10 9 9 10 10 11 12 12 12 12 12 12 12 12 12 13 13 13 12 11 10 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 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 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 12 11 10 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 10 11 12 12 13 13 12 11 11 11 11 12 14 16 18 19 20 19 17 15 14 13 13 13 13 14 15 16 17 18 18 19 19 18 18 18 18 18 16 15 14 14 14 14 13 12 11 11 10 10 11 12 12 12 12 13 14 14 13 11 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 nan
nan 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 11 11 11 11 11 10 11 12 13 13 13 12 12 11 10 9 9 9 9 9 10 10 11 11 10 10 10 9 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 12 12 13 12 11 10 10 10 10 11 12 14 16 18 21 22 21 19 17 14 12 11 12 12 13 14 15 17 18 19 18 17 17 17 18 17 16 14 13 13 13 14 13 13 12 12 11 10 11 11 10 10 12 14 17 17 14 10 7 7 8 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 12 nan
nan 10 9 10 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 12 13 14 13 13 11 11 10 9 9 9 10 10 10 10 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 10 11 12 12 13 12 11 10 10 10 10 11 11 12 14 16 19 23 24 24 22 19 15 12 11 10 10 11 13 16 17 18 18 17 16 16 16 16 15 14 13 13 13 13 13 12 13 13 13 12 11 10 8 9 12 15 19 18 13 8 4 4 6 9 12 12 12 11 11 11 11 10 10 10 11 11 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 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 12 12 13 14 14 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 9 9 10 11 12 13 13 13 12 11 10 10 11 11 12 12 13 14 16 19 21 23 23 21 17 13 11 10 10 10 11 12 14 17 19 20 20 19 17 16 15 14 13 13 13 13 13 12 13 14 15 15 13 10 8 9 13 16 19 16 9 5 2 3 6 9 11 12 12 12 12 11 11 11 11 10 10 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 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 9 9 8 9 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 12 13 14 13 13 11 10 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 9 10 11 13 14 14 13 12 11 10 10 11 12 12 12 13 13 13 14 15 16 16 15 13 11 9 9 10 9 8 8 10 13 19 23 24 23 21 19 17 15 15 15 14 14 13 13 14 16 17 18 15 12 9 10 13 16 17 12 6 3 1 3 7 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 9 10 11 13 14 13 12 11 10 10 10 10 11 11 12 12 12 12 12 11 10 9 7 5 5 5 7 9 9 7 6 6 9 15 20 23 24 23 22 20 19 18 17 16 15 14 14 15 16 18 19 18 14 12 12 13 15 13 8 4 2 2 5 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 11 11 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 14 14 13 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 10 12 12 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 10 9 6 4 3 3 4 7 9 9 8 6 5 4 6 11 16 21 25 26 24 22 20 19 18 16 15 15 15 16 18 19 19 17 16 15 14 12 9 5 2 2 4 8 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 nan
nan 9 9 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 11 12 13 14 14 14 13 12 10 9 8 8 9 9 9 8 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 10 9 9 9 7 6 6 6 6 7 8 9 9 8 4 0 0 5 11 19 25 26 25 23 21 20 19 18 16 15 15 16 17 19 19 18 18 17 14 11 7 3 1 2 6 10 11 11 12 12 12 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 11 11 11 11 11 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 12 13 13 14 14 13 12 11 9 8 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 10 10 11 11 12 12 11 11 10 10 9 9 10 10 10 11 12 12 13 13 14 14 14 13 12 11 10 9 9 9 8 8 8 8 8 8 7 6 6 6 7 9 10 8 3 -1 -1 4 10 18 23 23 22 20 19 19 18 17 17 16 16 18 19 19 19 19 19 17 14 9 5 2 2 5 8 11 12 12 12 12 12 12 12 12 12 12 12 12 12 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 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 14 14 14 13 13 12 11 11 10 8 7 6 7 7 8 9 9 8 8 9 10 10 10 10 10 10 10 11 12 12 12 11 11 10 9 9 9 10 10 10 11 12 13 14 15 15 15 15 15 14 13 12 10 9 8 8 7 8 9 9 9 7 5 4 5 7 9 10 6 1 -1 1 7 14 20 22 19 18 17 16 16 16 17 18 19 21 23 23 22 20 19 19 17 12 8 5 3 4 8 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 13 12 12 11 11 11 10 9 7 7 7 8 9 10 10 9 9 9 9 10 10 10 10 10 11 12 13 13 12 12 11 10 9 9 9 9 10 10 12 13 14 14 15 15 15 15 15 15 15 13 12 10 9 8 9 9 10 10 9 6 4 4 6 9 10 11 6 3 4 7 14 20 22 20 17 15 13 12 12 14 17 20 23 26 28 26 25 23 21 20 16 11 7 5 5 7 10 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 9 9 10 10 10 11 11 11 11 11 12 12 13 14 14 14 13 12 11 10 10 10 9 9 9 8 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 11 12 13 13 13 12 11 10 10 9 9 9 9 10 10 11 12 13 13 12 13 13 13 14 14 14 13 12 11 9 9 9 10 10 10 9 7 6 7 8 11 13 13 10 8 10 12 18 22 22 19 15 12 8 6 7 9 13 18 22 25 27 27 27 27 26 22 17 12 8 5 6 9 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 13 14 13 13 12 11 10 9 8 8 8 7 7 7 7 7 8 9 10 11 11 12 12 11 11 10 10 10 11 12 13 14 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 13 13 12 11 10 8 8 9 10 10 10 10 9 9 10 10 12 12 11 9 7 8 10 16 20 21 18 13 8 2 -0 1 4 8 13 16 20 24 28 30 32 31 27 22 16 11 7 8 10 11 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 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 12 12 12 nan
nan 8 8 8 9 9 10 10 10 10 10 11 11 12 12 13 13 13 12 12 11 10 9 9 9 8 8 8 8 7 7 8 8 9 10 10 10 10 10 11 10 10 10 11 11 12 13 13 12 12 11 11 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 10 11 12 11 10 9 8 8 9 10 11 11 10 11 11 10 8 7 5 3 2 2 4 11 19 24 24 20 13 5 -1 -3 -2 1 6 11 14 19 25 31 35 38 37 34 29 22 15 11 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 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 nan
nan 7 7 8 8 9 9 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 12 13 13 12 10 9 8 8 8 9 10 10 10 10 9 9 9 10 10 11 11 10 9 7 5 2 0 -0 0 3 9 19 27 29 27 22 13 6 1 -2 -2 -1 2 8 12 18 25 32 38 42 43 41 37 29 20 17 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 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 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 7 7 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 9 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 8 6 5 3 2 3 5 10 19 26 30 28 24 19 13 8 5 1 -2 -4 -1 3 8 12 19 28 37 44 48 47 43 34 25 21 17 15 14 14 13 13 13 13 13 13 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 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 nan
nan 8 8 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 11 12 12 13 12 11 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 8 8 7 7 6 7 14 22 26 26 23 19 15 12 11 8 3 -2 -5 -3 2 7 11 17 25 35 43 49 48 44 35 27 23 19 16 15 15 14 14 14 14 13 13 13 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 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 nan
nan 10 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 11 10 7 5 5 11 19 22 23 20 16 13 12 11 9 4 -1 -2 0 5 10 14 19 26 33 39 43 42 38 32 26 23 20 17 16 16 15 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 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 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 10 11 12 12 nan
nan 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 8 9 9 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 12 12 13 12 12 11 11 11 11 11 11 10 10 9 10 10 10 11 11 12 12 11 9 6 4 5 11 18 20 20 17 13 12 12 11 10 6 4 4 7 12 15 17 20 23 26 29 32 32 30 27 25 23 21 19 17 16 16 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 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 12 12 12 12 12 12 12 12 13 13 13 13 12 10 10 10 11 12 12 nan
nan 10 10 11 11 11 11 10 10 11 10 9 8 7 7 7 7 8 8 8 8 9 10 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 10 9 7 7 9 13 17 17 17 14 12 11 12 12 11 10 9 11 13 15 17 16 16 17 19 20 22 23 23 23 23 23 22 20 19 18 17 16 15 15 15 15 14 14 13 13 13 13 13 13 14 14 14 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 14 14 12 11 11 11 11 12 12 nan
nan 10 10 10 11 11 10 9 9 10 11 11 10 8 7 6 7 7 8 8 9 10 10 11 10 10 9 10 10 10 8 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 13 14 14 12 11 11 11 11 11 12 11 12 13 14 14 14 13 12 13 13 15 16 17 18 19 21 22 22 21 20 19 18 17 16 16 16 15 15 14 14 14 14 13 13 13 14 15 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 12 12 nan
nan 9 9 9 10 10 10 8 8 9 11 12 12 11 10 9 8 8 8 9 9 10 11 11 11 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 11 10 9 9 10 12 13 15 16 19 21 22 22 22 21 20 19 18 17 16 16 15 15 14 14 14 14 13 13 14 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 0 0 1 3 3 8 31 55 89 128 166 189 181 147 104 65 38 25 17 14 16 22 25 22 17 12 8 7 11 12 11 10 8 8 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 4 3 3 2 0 0 0 0 0 1 2 2 1
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