Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 12 12 12 11 11 11 12 13 14 14 15 15 15 15 14 13 12 12 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 13 13 14 13 13 13 13 12 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 7 7 8 8 9 10 11 12 13 14 14 13 13 13 13 12 12 12 12 14 15 15 14 13 11 10 10 11 11 12 12 13 14 15 14 13 11 10 9 9 10 10 10 10 10 9 9 8 8 7 6 8 9 10 10 7 7 7 8 8 8 7 8 8 9 10 11 12 12 12 12 12 11 10 9 9 9 8 8 8 8 7 5 nan
nan 8 7 7 7 6 6 6 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 12 11 11 11 11 11 12 13 14 15 16 16 16 16 16 15 14 13 13 12 12 12 11 10 9 9 9 9 9 9 8 8 8 9 10 11 13 13 14 15 15 15 14 13 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 6 5 5 5 5 7 8 9 10 12 12 13 13 12 12 12 12 12 11 11 11 11 11 12 13 13 12 11 11 11 11 11 12 12 13 13 14 14 14 13 12 10 9 10 10 10 10 10 9 8 8 8 7 6 6 8 9 11 10 7 6 6 7 8 8 8 8 8 9 10 11 12 13 13 14 13 11 10 9 9 9 9 9 9 9 8 6 nan
nan 9 8 8 7 6 6 6 7 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 14 15 16 17 17 17 17 17 16 15 15 14 14 13 13 12 11 11 11 11 11 11 12 12 12 13 14 15 15 15 15 16 15 15 15 14 13 12 11 11 10 9 8 7 6 5 5 5 6 6 6 6 5 4 4 4 5 5 4 4 4 3 3 2 3 6 8 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 10 11 11 12 12 13 13 13 13 13 13 12 10 10 10 10 10 10 9 9 8 8 8 7 6 6 7 8 10 10 8 6 5 6 8 8 8 9 9 9 10 10 11 12 13 14 14 12 11 10 9 9 9 9 9 10 9 8 nan
nan 11 10 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 11 10 11 11 12 13 14 15 16 17 17 17 17 17 16 16 15 15 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 14 14 13 13 12 12 12 12 11 11 10 9 7 6 6 7 7 7 7 6 5 4 5 6 6 7 7 6 5 5 5 6 7 8 10 11 12 13 13 12 11 10 10 10 11 10 10 9 9 10 10 10 10 10 9 9 9 10 10 11 12 12 13 13 13 13 13 13 13 12 11 10 9 9 9 9 9 9 8 8 8 7 7 6 6 7 8 9 8 7 6 6 8 8 9 9 9 10 10 10 10 11 13 14 14 13 12 10 9 8 9 9 10 10 11 10 nan
nan 12 12 11 10 9 9 8 8 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 12 13 13 14 14 15 15 15 15 15 15 15 15 15 15 16 17 17 17 16 16 15 15 15 14 13 13 12 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 11 9 8 8 8 9 9 9 8 7 6 7 8 9 11 11 10 10 9 9 10 10 10 10 11 11 11 10 10 9 10 10 11 11 10 10 9 10 10 10 10 9 9 8 8 9 10 11 12 11 12 12 13 14 13 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 7 7 7 8 9 8 9 9 10 10 10 10 11 12 13 13 13 12 10 9 8 8 9 9 11 12 12 nan
nan 13 12 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 14 16 17 19 19 18 17 15 13 12 11 10 9 9 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 11 9 8 8 10 11 11 11 9 8 8 9 10 12 13 14 13 13 12 11 11 10 10 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 12 12 12 11 11 11 11 11 10 9 8 7 7 7 8 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 8 8 8 9 10 10 10 11 11 12 12 12 13 12 10 9 8 8 8 9 10 12 12 nan
nan 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 7 7 8 10 13 15 17 18 18 16 13 10 9 7 7 6 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 12 11 10 9 8 9 10 11 12 11 10 9 10 11 12 13 13 13 13 12 11 11 10 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 9 8 9 10 10 10 9 9 9 10 11 10 10 10 10 10 11 11 10 9 9 10 11 11 10 9 8 7 7 7 7 6 7 7 8 8 8 8 7 7 7 8 9 9 9 8 7 7 8 9 10 10 11 12 12 12 12 12 12 10 9 8 8 8 9 10 10 10 nan
nan 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 7 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 8 8 7 6 7 9 10 12 13 13 11 9 7 6 6 6 6 7 7 8 8 8 8 9 10 11 12 13 13 13 13 13 12 11 9 9 9 10 11 12 11 11 10 11 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 11 11 12 11 11 10 10 10 11 11 11 9 8 8 10 11 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 9 10 10 11 11 10 9 8 8 7 6 6 7 8 8 9 9 9 8 8 8 8 9 10 10 9 8 8 8 8 9 10 11 12 13 13 12 12 12 11 10 9 10 10 10 9 9 8 nan
nan 9 10 10 10 9 9 10 10 10 9 8 8 8 8 8 7 7 8 8 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 10 10 10 10 11 11 12 12 13 12 12 11 11 10 10 10 10 11 11 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 11 11 12 12 11 10 10 10 11 12 11 10 9 9 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 11 10 10 9 8 6 5 5 6 7 8 9 10 9 9 8 8 9 9 9 9 9 10 10 10 9 9 10 10 11 11 12 12 13 13 13 12 11 10 10 9 8 7 7 nan
nan 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 10 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 5 5 5 5 5 5 6 7 8 8 9 10 10 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 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 11 11 10 10 10 11 11 10 10 10 12 12 12 12 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 10 9 7 6 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 9 10 11 12 14 14 13 11 9 8 7 7 6 6 nan
nan 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 10 12 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 5 4 4 5 5 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 11 11 10 9 10 10 10 10 11 12 12 11 11 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 10 12 13 13 12 10 7 6 6 7 7 6 nan
nan 9 9 9 8 8 9 8 8 7 7 7 8 8 8 8 8 9 9 10 10 12 12 12 12 11 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 9 10 11 11 11 10 10 10 10 10 9 9 10 11 11 11 10 8 6 5 6 7 7 6 nan
nan 9 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 8 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 10 10 10 10 9 9 8 8 8 7 8 8 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 10 11 10 10 9 10 10 10 9 9 9 9 9 8 8 7 7 8 8 7 6 5 nan
nan 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 10 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 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 9 9 10 11 11 10 10 10 11 12 11 10 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 10 11 10 10 9 9 8 8 8 8 9 10 10 10 9 8 6 nan
nan 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 14 13 12 12 12 12 12 10 9 8 9 9 10 10 11 12 11 10 11 12 12 11 10 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 11 10 10 10 9 9 9 9 10 11 11 11 11 10 10 9 nan
nan 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 14 16 17 18 19 19 18 16 15 15 14 12 10 9 9 9 10 11 12 12 11 11 11 12 12 11 10 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 9 9 9 10 12 12 11 10 10 11 11 nan
nan 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 13 13 13 13 12 10 9 9 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 13 15 16 17 18 19 20 21 22 23 23 21 20 19 18 15 12 10 8 9 11 12 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 12 12 11 10 10 9 10 11 11 10 9 8 9 9 nan
nan 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 12 12 12 12 14 16 18 18 15 12 10 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 10 9 9 9 9 9 9 9 8 9 9 11 14 16 17 16 15 15 15 17 19 20 22 23 24 24 23 21 18 14 11 10 11 11 12 12 12 12 11 10 10 10 9 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 12 14 13 12 10 9 10 10 11 10 10 8 7 6 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 10 10 10 11 11 11 11 13 17 22 23 21 18 15 12 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 10 9 9 10 12 13 15 17 20 23 25 25 24 21 18 16 14 13 12 12 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 10 9 9 8 7 7 8 9 8 8 8 8 9 9 9 9 12 15 16 13 11 9 8 9 10 10 10 9 8 6 6 6 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 10 10 9 8 6 6 7 8 8 9 9 9 10 10 11 11 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 10 10 11 11 10 10 10 10 9 9 10 13 17 21 24 23 22 19 16 12 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 9 9 9 9 9 8 6 5 4 3 4 5 4 4 5 6 8 9 11 12 15 18 21 24 25 25 24 22 20 18 16 14 13 13 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 7 6 6 7 9 9 8 8 8 10 10 10 10 11 14 17 15 12 9 7 8 9 10 10 8 7 6 6 5 5 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 8 8 9 9 8 6 6 6 7 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 10 11 10 9 9 8 7 7 10 14 17 19 20 21 22 21 19 16 13 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 4 1 -1 -2 -1 0 0 0 1 3 5 7 9 11 12 14 16 18 20 22 23 24 24 23 22 20 19 17 15 12 11 12 12 12 11 10 9 10 10 11 11 11 11 10 10 11 11 10 10 9 8 7 7 7 8 9 9 8 8 10 12 12 12 12 14 16 16 14 11 8 8 8 9 9 8 7 5 5 5 5 5 nan
nan 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 6 6 7 8 8 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 10 11 11 10 9 8 6 6 10 14 17 17 17 18 19 20 20 18 16 13 10 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 6 4 2 1 -0 -0 0 0 -0 -1 -1 2 4 7 9 10 11 12 13 14 16 17 19 21 22 23 24 23 22 20 17 15 13 13 12 11 10 10 11 12 12 12 12 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 12 12 12 13 14 16 17 16 13 10 8 8 8 9 9 8 6 5 5 5 5 6 nan
nan 7 6 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 11 11 11 10 8 6 7 11 15 16 16 15 14 15 16 18 18 16 13 10 8 8 8 9 9 9 9 8 8 7 7 7 6 6 5 6 7 8 8 8 8 8 7 6 6 6 5 5 5 5 5 3 1 0 1 2 4 6 7 9 10 11 12 12 13 15 17 18 20 22 23 23 22 20 18 15 12 11 10 10 11 13 13 13 12 11 11 11 11 11 10 9 8 8 9 10 11 11 11 12 12 12 12 11 11 12 14 16 17 17 14 10 8 8 8 8 8 8 7 7 6 6 7 7 nan
nan 8 7 6 6 5 6 7 8 9 9 9 9 10 10 11 11 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 10 11 11 11 11 9 8 9 13 15 16 15 13 12 13 14 16 17 16 13 10 9 8 8 8 8 9 9 9 9 10 9 8 8 7 7 7 7 8 8 9 8 8 7 8 8 8 8 8 9 10 11 11 8 4 2 -1 -1 -0 2 4 7 9 9 9 10 11 12 13 15 17 20 23 24 24 23 19 16 13 11 10 10 12 12 12 12 11 11 11 10 10 9 8 7 7 8 9 11 11 11 11 11 11 11 11 11 11 13 15 17 17 14 10 8 7 7 8 8 8 8 8 8 8 8 9 nan
nan 10 10 9 8 7 7 7 8 9 9 9 10 10 10 10 11 11 10 10 11 10 10 9 9 9 9 10 10 9 9 10 10 10 10 10 10 9 9 8 7 6 6 7 8 8 9 8 8 8 8 9 9 10 10 10 9 9 8 9 9 10 10 11 11 11 9 9 12 15 17 16 14 12 11 11 12 14 16 16 15 13 10 9 8 8 8 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 9 9 8 7 7 8 10 13 13 12 10 6 1 -2 -3 -2 -1 3 5 6 6 7 7 8 8 9 11 14 17 20 23 25 24 22 19 16 14 13 12 12 12 12 12 11 10 10 9 9 8 7 7 7 8 9 10 9 9 8 9 11 11 11 11 12 14 16 16 13 10 7 6 6 7 8 9 10 10 10 10 10 10 nan
nan 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 6 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 9 9 10 10 10 9 9 10 13 16 18 16 13 11 10 10 11 13 15 17 17 15 12 9 9 9 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 8 7 5 4 6 8 10 10 10 8 6 2 0 -2 -2 -2 -0 1 2 3 3 3 3 3 4 5 8 13 17 20 23 24 23 22 20 19 16 14 13 12 12 11 11 10 10 9 8 7 7 7 7 7 7 7 7 7 8 10 11 12 12 12 13 14 13 12 9 7 7 7 8 9 10 11 12 12 12 12 12 nan
nan 12 12 12 12 12 12 11 11 10 10 11 11 11 10 9 9 9 9 9 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 7 7 8 9 10 10 11 11 10 9 9 8 8 8 9 9 9 8 8 10 13 17 18 15 13 11 10 9 10 12 14 16 18 16 13 10 10 11 11 11 10 9 10 11 12 11 11 11 10 9 9 9 9 9 10 10 10 9 8 7 6 4 3 2 3 5 6 7 8 8 7 6 3 -0 -3 -3 -2 -1 -0 -0 -0 0 0 -1 -1 0 4 9 12 15 18 21 23 24 24 22 19 15 13 12 11 11 10 10 9 9 8 8 7 7 7 6 6 6 7 8 10 12 12 12 12 12 12 12 11 9 8 8 9 10 11 13 13 13 13 14 14 14 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 9 9 9 9 9 8 8 7 8 8 8 8 9 9 9 10 10 10 11 10 10 8 7 7 7 7 6 6 7 7 8 8 9 10 10 10 10 9 8 8 8 8 8 8 9 9 8 8 10 13 16 17 14 12 10 9 9 9 10 12 15 17 17 15 12 11 12 13 12 11 10 10 10 11 11 10 10 9 9 9 9 10 10 9 9 9 8 7 7 6 5 4 4 4 4 5 6 7 8 9 9 7 4 2 1 0 1 1 1 1 1 2 1 -1 -2 -1 1 4 7 9 11 14 18 20 21 21 18 15 12 11 10 9 9 9 9 9 10 9 8 8 7 6 6 7 8 10 12 12 12 11 11 11 11 11 10 9 10 11 12 14 15 14 14 14 16 16 15 nan
nan 11 11 10 9 9 10 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 7 7 8 9 10 10 11 11 11 11 11 10 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 11 15 16 16 13 11 9 8 8 8 9 10 12 15 16 14 12 11 11 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 7 9 10 10 10 8 7 7 8 8 7 7 6 6 6 6 6 4 2 -0 -1 0 2 2 3 4 7 10 14 16 17 15 13 11 10 9 8 8 8 10 11 11 10 9 7 7 7 7 8 10 12 11 11 10 10 10 11 11 11 10 10 10 12 14 14 14 15 16 17 17 15 nan
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nan 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 10 11 10 10 10 10 10 11 11 11 11 11 10 8 7 8 9 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 10 11 14 17 18 16 12 9 7 6 5 6 6 7 7 7 7 8 9 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 10 10 10 12 14 15 15 13 12 10 9 8 8 8 9 9 10 10 10 9 9 8 8 8 8 7 7 7 9 10 12 12 12 12 11 11 11 11 10 9 9 9 11 13 16 18 18 18 18 18 17 15 14 13 12 11 9 7 7 7 9 10 11 11 11 10 10 10 10 10 9 9 8 8 7 nan
nan 8 8 8 9 9 9 9 10 10 10 10 9 9 8 7 8 9 10 10 10 10 9 10 10 11 11 11 11 11 10 9 8 7 8 9 11 11 12 12 11 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 10 11 12 15 18 19 16 12 9 7 5 4 5 5 5 4 4 5 6 7 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 14 15 16 15 13 13 11 10 8 7 7 8 8 9 10 9 9 9 9 8 8 8 7 6 7 9 12 15 17 16 16 15 15 14 13 13 12 13 14 15 17 19 21 22 23 24 23 23 21 19 18 16 13 11 9 9 11 12 13 13 12 10 10 9 9 8 8 7 7 7 7 8 nan
nan 8 8 8 8 8 8 8 7 8 8 9 10 9 8 7 7 8 9 11 11 11 11 11 12 12 11 10 10 10 10 9 8 8 8 8 9 10 11 11 11 10 9 9 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 11 11 11 10 9 8 9 13 18 20 18 15 11 8 5 3 4 4 5 5 5 5 6 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 15 16 17 16 13 11 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 7 8 10 13 17 18 18 19 19 19 19 18 18 18 19 19 19 19 19 21 22 24 25 26 26 26 25 22 19 16 13 13 14 15 14 12 10 9 9 8 8 7 7 7 7 8 9 9 nan
nan 8 8 8 8 7 7 7 7 6 7 8 10 10 9 8 8 8 9 10 11 12 12 12 12 11 9 9 8 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 8 5 5 9 16 21 20 18 14 10 6 4 4 5 6 8 8 9 8 8 7 6 6 7 8 9 9 9 8 8 9 9 9 9 10 10 11 11 12 12 11 11 10 10 10 11 12 13 15 17 19 19 17 11 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 6 6 8 12 15 17 19 20 20 21 21 21 19 18 16 15 14 14 15 16 18 20 22 24 26 28 27 25 22 19 16 16 14 13 10 8 7 7 7 7 7 7 7 8 9 9 9 nan
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nan 7 7 8 10 11 11 10 9 8 9 10 11 12 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 10 10 10 9 9 10 10 11 11 10 11 11 12 12 12 13 14 15 14 13 12 14 16 17 17 15 14 13 13 13 12 12 12 11 10 10 9 9 9 9 10 10 11 10 10 10 9 8 8 9 10 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 11 11 12 11 10 11 11 11 11 11 11 11 11 12 13 13 12 12 12 11 11 10 9 9 8 8 9 10 10 11 11 11 11 11 11 11 10 10 11 11 10 10 9 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 12 13 13 13 12 12 12 11 10 nan
nan 8 8 9 10 12 12 11 10 9 9 10 11 12 12 12 12 12 12 11 11 10 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 12 13 15 16 17 15 13 14 14 14 14 12 12 12 11 11 10 9 9 9 9 11 12 13 12 11 10 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 10 9 8 8 8 8 8 9 10 11 11 11 11 10 10 10 11 11 11 11 10 9 9 10 11 12 12 12 12 11 11 12 13 13 13 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 nan
nan 9 10 10 11 12 12 11 10 9 9 10 11 12 12 12 12 12 12 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 12 14 15 16 15 13 12 12 13 13 13 12 11 10 9 9 9 9 8 8 8 11 13 13 13 11 11 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 10 11 11 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 11 11 10 10 10 9 9 9 10 11 11 11 11 10 9 10 11 11 11 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 11 11 10 11 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 10 11 11 11 11 10 9 8 8 9 10 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 8 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 10 11 12 13 15 15 14 12 11 10 11 11 11 10 9 7 7 7 8 9 8 8 8 10 11 12 12 11 11 10 10 10 10 10 10 10 9 8 7 7 7 8 8 7 7 7 7 8 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 12 12 12 11 11 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 11 11 10 10 11 11 11 11 10 10 11 11 11 11 11 12 nan
nan 11 11 11 11 10 8 7 6 7 8 9 11 12 12 12 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 9 9 10 10 11 11 12 13 13 13 12 12 12 12 12 11 11 10 9 9 9 10 11 13 14 14 14 13 12 11 10 9 9 8 8 7 6 6 6 7 8 9 9 9 10 10 11 11 11 10 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 12 12 13 13 13 12 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 12 13 13 13 12 9 7 6 5 6 8 10 11 12 12 12 12 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 12 13 14 14 13 13 12 12 11 9 8 7 7 7 7 7 7 8 9 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 9 8 8 8 8 8 9 10 11 11 12 12 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 12 12 12 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 10 10 11 11 12 12 12 12 13 14 15 15 14 12 10 10 11 11 11 11 11 10 9 9 9 8 8 nan
nan 14 15 16 16 14 12 9 7 5 5 7 8 10 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 12 11 11 10 9 8 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 9 8 8 8 9 11 11 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 12 12 12 13 14 15 14 12 11 11 11 12 13 12 11 10 10 9 9 8 7 nan
nan 13 15 17 17 15 13 11 9 7 6 7 8 9 10 11 11 11 12 12 13 13 13 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 9 10 10 10 10 11 11 11 12 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 8 8 9 10 11 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 12 13 13 12 12 12 12 13 13 12 12 11 12 12 11 10 9 nan
nan 12 15 16 15 13 12 12 12 11 9 8 8 9 10 10 10 10 11 11 12 12 13 13 13 12 12 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 14 14 14 13 11 9 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 9 9 9 10 11 11 11 11 11 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 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 10 10 9 9 9 9 9 8 7 7 8 9 10 11 12 12 12 12 12 12 12 12 13 14 15 15 15 13 nan
nan 12 14 14 14 13 12 13 12 10 8 8 8 9 9 9 9 9 9 10 11 12 12 13 13 13 12 12 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 14 15 16 17 17 13 10 7 5 7 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 12 11 10 9 9 9 9 10 10 11 11 10 9 9 9 10 11 11 11 11 11 11 10 9 8 7 6 6 7 8 10 11 12 12 11 11 10 11 12 13 14 15 15 15 14 nan
nan 12 14 14 14 14 13 13 11 9 8 8 9 10 10 9 9 9 9 10 10 11 12 12 13 13 12 12 11 10 10 10 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 14 17 19 20 20 17 11 7 3 1 4 8 10 11 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 12 13 13 12 11 10 9 9 9 9 10 11 11 10 9 9 9 10 12 12 13 13 13 12 12 11 10 8 7 7 8 9 10 11 12 11 11 11 10 10 11 12 12 13 13 13 13 nan
nan 11 12 13 14 14 14 12 11 9 9 10 11 11 11 10 10 9 10 10 10 11 12 12 13 13 12 12 11 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 16 20 23 24 22 17 11 5 -0 -2 2 6 10 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 10 10 10 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 11 11 10 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 10 11 12 13 13 12 12 11 10 9 8 9 9 10 11 11 10 10 11 12 12 13 13 13 13 13 13 12 11 9 9 9 9 11 11 11 11 10 11 11 11 10 10 10 11 11 12 12 12 nan
nan 10 11 12 13 13 13 12 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 12 12 13 12 12 12 11 11 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 12 15 20 24 26 25 20 13 6 -2 -4 0 4 9 11 12 12 12 11 11 12 12 12 12 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 8 8 8 9 9 10 10 10 11 12 13 14 15 14 14 13 13 13 12 11 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 11 12 12 nan
nan 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 12 17 23 27 27 23 17 8 -1 -4 -1 3 8 10 11 12 12 12 11 11 12 12 12 12 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 9 8 9 10 11 11 12 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 10 11 11 12 13 12 12 11 10 9 8 7 7 8 9 9 9 9 10 13 14 15 16 16 15 14 13 12 11 10 10 10 11 13 14 14 13 11 10 9 9 9 8 8 8 8 8 9 10 10 nan
nan 10 10 10 11 11 11 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 11 11 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 8 9 10 15 21 25 26 24 18 9 2 0 1 4 8 10 11 11 11 12 11 12 12 13 13 13 12 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 11 11 11 11 10 10 9 10 10 11 12 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 10 9 7 7 7 8 9 9 9 9 11 13 14 16 16 16 16 15 13 11 10 9 9 9 11 13 14 15 15 14 13 12 11 11 9 8 7 7 7 8 9 9 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 13 12 11 11 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 9 10 14 17 19 20 19 15 10 6 5 5 7 9 10 10 10 11 11 11 12 12 13 13 14 13 13 12 12 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 13 13 12 11 10 9 8 7 7 8 8 8 8 9 11 12 14 16 16 16 15 14 12 11 9 8 8 8 9 10 11 13 13 14 14 14 14 13 12 11 9 8 8 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 13 13 12 11 10 10 9 9 10 10 10 11 11 12 12 12 12 11 11 10 10 12 13 14 15 14 13 11 9 8 8 9 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 12 12 13 13 13 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 11 11 11 10 10 11 12 14 15 15 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 10 9 8 8 8 8 8 8 9 10 12 13 15 16 16 16 14 12 11 9 9 8 8 8 8 9 10 11 12 12 13 13 13 13 12 10 10 9 9 10 11 nan
nan 10 9 9 9 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 10 10 10 11 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 13 13 13 13 13 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 11 10 10 9 9 9 8 9 10 11 13 14 15 17 16 15 13 12 11 10 10 9 8 7 8 9 10 11 12 12 12 12 12 11 10 10 9 10 10 12 nan
nan 10 9 9 9 9 9 9 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 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 10 10 11 12 11 12 12 13 14 13 12 11 10 10 9 8 9 9 10 12 13 14 16 16 15 15 13 12 12 11 10 9 8 8 9 10 11 12 12 12 12 11 11 10 10 10 9 10 11 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 10 11 12 12 12 12 13 13 13 12 11 11 10 9 9 9 9 10 12 13 13 14 14 14 15 14 13 12 11 10 10 9 8 8 9 11 12 12 12 12 11 11 10 10 10 9 9 10 nan
nan 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 9 9 10 11 12 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 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 10 12 12 12 12 12 12 12 11 11 11 11 10 9 9 9 10 11 12 12 12 12 13 13 13 13 12 11 11 10 9 9 9 10 11 12 13 13 12 11 11 10 10 10 9 9 9 nan
nan 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 11 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 12 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 12 13 12 11 11 11 12 12 12 11 11 11 11 11 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 10 11 10 9 9 8 9 9 10 10 10 10 10 9 9 10 10 11 12 12 12 12 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 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 13 13 13 12 11 11 11 12 11 11 11 12 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 12 12 13 13 12 12 11 11 11 11 11 10 10 9 9 10 11 11 12 12 11 10 10 9 10 11 11 12 12 12 12 12 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 11 11 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 10 11 11 11 11 12 13 14 14 14 13 12 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 11 12 13 13 13 12 12 12 12 12 12 12 11 10 9 10 11 12 12 13 13 12 11 10 10 10 10 11 11 11 12 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 11 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 11 11 11 12 12 12 12 11 10 10 10 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 13 13 12 11 11 10 10 10 10 10 9 8 8 9 10 11 11 11 11 12 14 15 15 14 13 11 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 11 12 12 12 12 12 12 13 13 13 12 11 10 9 9 10 11 12 12 13 13 12 12 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 13 13 14 14 14 14 13 12 10 9 9 10 10 10 10 10 9 8 7 7 7 8 9 10 10 11 13 14 15 15 14 13 11 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 10 10 11 12 12 11 11 10 10 9 9 10 10 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 12 13 15 16 16 15 14 13 11 9 7 6 7 8 9 9 10 10 9 9 8 7 7 7 8 9 10 11 12 13 14 15 14 13 11 10 10 11 12 12 12 12 12 12 12 12 11 11 11 12 13 13 12 12 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 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 13 12 12 12 12 12 12 13 12 12 11 11 11 11 12 12 11 11 10 10 11 11 12 13 14 14 13 13 12 12 12 10 9 8 8 9 10 10 11 11 11 11 11 12 13 16 17 18 17 15 13 11 10 8 7 6 7 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 12 13 14 14 13 12 11 10 11 11 12 12 11 11 12 12 12 11 10 10 10 11 12 12 12 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 12 12 12 13 13 13 13 13 12 12 12 11 10 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 10 10 10 10 11 12 12 13 13 13 13 13 13 13 12 11 9 9 9 9 10 10 10 10 10 11 11 13 16 18 18 17 14 12 11 10 9 8 7 9 10 11 11 10 9 10 11 11 11 10 9 9 8 8 8 9 10 12 14 14 14 13 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 11 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 12 12 12 12 13 13 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 10 10 11 11 12 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 11 12 12 13 13 13 12 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 14 13 13 12 11 10 10 9 9 10 9 9 9 10 11 13 16 17 18 16 13 12 11 10 9 9 9 10 11 11 9 8 8 9 11 12 12 11 10 10 9 8 8 8 10 12 13 14 14 13 12 11 11 11 11 11 11 11 11 10 11 11 10 9 10 10 11 12 13 12 12 11 nan
nan 10 10 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 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 10 10 11 11 12 12 12 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 12 12 12 12 12 12 11 11 11 12 12 13 13 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 12 14 16 17 17 15 13 11 10 9 9 10 11 12 12 10 8 7 7 9 11 12 13 12 11 10 9 9 8 9 10 11 13 14 14 13 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 11 12 13 13 12 12 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 11 11 12 12 12 12 11 12 12 12 13 12 12 11 11 11 11 12 14 15 17 17 15 14 12 10 9 8 8 10 12 13 13 10 8 6 7 9 10 12 12 12 12 11 10 10 10 10 11 12 13 14 14 13 12 11 11 10 11 11 11 10 10 10 10 10 11 10 10 10 10 11 12 12 12 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
CAPE
49 20 5 0 0 0 1 2 3 3 3 3 4 3 3 3 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 3 15 38 69 102 128 144 156 174 203 260 334 408 458 471 462 449 401 348 314 302 270 210 141 78 29 5 2 1 1 2 6 23 34 32 34 52 98 154 178 186 191 205 239 257 255 230 182 118 55 25 9 3 1 1 1 1 1 1 0 0 0 0 0 1 2 3 6 9 13 17 24 44 114 177 215 227 213 186 182 185 189 187 179 174 168 164 161 157 155 157 166 180 199 234 270 296 318 340 369 398 405 395 382 371 354 329 322 328 332 314 249 176 121 85 66 60 40 30 18 8 8 18 24 34 49 63 68 61 57 54 53 54 56 56 72 71 64 60 66 72 78 83 89 97 103 100 90 75 52 30 22 21 26 33 48
126 66 25 6 1 0 0 0 0 1 1 1 2 3 3 3 2 1 0 0 0 1 0 1 1 0 0 0 0 0 0 4 16 35 60 85 100 108 114 122 135 166 219 297 382 450 467 455 407 355 329 335 295 233 165 99 43 9 5 5 4 3 6 12 20 29 44 82 161 230 262 266 257 256 294 296 275 231 169 97 28 9 3 2 1 1 1 1 1 0 0 0 0 0 1 1 1 1 2 3 6 13 24 82 125 158 186 205 183 140 116 111 117 119 98 98 102 108 116 121 118 114 109 102 92 79 83 148 215 250 280 300 304 310 326 338 341 335 316 298 284 261 204 156 114 81 62 53 40 25 12 4 2 9 14 21 30 38 44 44 40 34 32 37 48 53 56 55 52 55 68 83 95 100 99 106 124 129 120 105 77 46 25 15 16 27 51
213 151 88 41 14 4 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 5 15 29 46 65 72 76 78 79 79 87 114 176 270 376 440 451 424 388 375 404 377 322 250 171 98 42 31 23 20 23 36 66 105 145 191 245 296 320 323 321 321 324 359 361 339 293 227 145 61 23 7 1 0 1 1 0 0 0 0 0 0 0 1 2 3 4 5 4 3 5 23 89 142 181 205 212 147 93 61 49 48 55 52 61 71 77 82 87 85 81 73 59 38 15 8 33 75 108 136 157 178 213 261 293 304 292 266 239 222 201 175 149 120 90 73 55 35 18 7 2 1 4 9 15 19 18 24 28 29 25 21 28 38 42 39 35 36 47 66 88 111 134 165 166 157 152 149 146 115 71 31 9 5 16 49
246 244 194 125 64 28 12 4 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 15 26 37 47 50 50 47 42 35 34 42 73 134 215 291 349 387 402 397 427 439 436 408 348 255 167 155 143 123 116 154 226 281 327 369 401 390 369 347 346 369 393 421 437 441 432 394 269 157 79 31 9 1 1 1 1 1 0 0 0 1 2 2 3 5 8 12 18 25 32 69 129 170 178 159 129 87 59 41 31 32 37 42 47 49 50 55 61 63 61 55 46 40 30 27 32 43 58 73 93 130 183 231 253 261 251 223 184 172 166 155 144 128 100 84 66 40 17 6 1 0 2 6 10 13 15 17 21 23 22 16 22 27 29 29 29 29 42 62 88 117 145 169 171 169 173 175 182 151 99 45 8 4 17 48
226 262 257 208 136 73 37 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 13 18 27 33 35 35 31 24 17 10 9 10 19 40 76 121 167 214 253 275 304 332 364 410 458 457 384 370 370 369 364 354 372 364 351 345 344 325 299 288 302 338 377 401 423 443 459 459 401 277 164 88 48 10 6 7 10 10 8 3 3 10 23 40 53 43 67 86 86 86 95 128 144 129 94 66 50 50 53 50 35 32 31 33 35 36 36 41 48 54 56 54 52 53 52 52 57 60 70 76 86 108 144 176 184 183 171 151 133 138 155 159 150 135 113 92 70 42 17 6 1 0 0 2 3 4 6 10 13 14 16 13 14 14 16 17 22 30 44 65 92 120 142 159 174 193 203 208 204 171 116 53 12 10 29 59
185 226 252 241 195 128 63 22 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 16 20 26 28 27 24 19 12 7 4 4 4 5 7 14 25 38 51 65 92 122 153 184 232 311 401 435 457 466 457 426 365 307 252 204 169 149 148 150 164 187 212 232 253 275 298 319 337 309 248 172 102 55 21 21 34 47 51 40 33 35 62 122 203 273 321 303 248 185 150 136 110 78 50 32 23 25 36 48 50 36 31 29 31 34 34 34 38 45 52 58 62 63 63 71 84 95 86 92 97 104 118 140 143 135 122 106 93 93 118 154 175 169 151 127 95 57 26 13 4 1 0 0 2 7 6 3 2 5 8 9 6 4 7 15 23 31 39 54 76 105 136 166 197 231 262 239 237 225 189 133 73 44 41 58 81
158 177 190 189 171 134 67 29 9 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 5 10 14 17 20 22 25 25 23 18 14 11 6 4 3 4 4 4 4 7 9 9 9 16 28 44 65 91 123 186 255 304 320 300 251 191 141 101 71 51 40 42 50 62 76 87 93 108 122 136 154 171 176 165 129 77 42 38 59 88 110 112 88 84 108 167 249 316 322 299 260 210 154 109 75 47 30 21 12 8 10 17 23 26 35 38 39 41 44 38 33 32 36 46 58 61 71 79 90 105 124 114 111 113 121 136 145 135 115 93 73 64 77 111 153 183 187 168 138 99 60 30 12 5 2 0 1 6 10 8 4 3 7 9 8 5 7 14 24 32 39 50 66 86 114 144 180 219 250 268 271 268 251 213 160 117 88 76 78 88
92 96 94 87 73 49 25 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 3 8 17 22 24 26 27 25 24 20 15 11 7 4 3 3 3 4 4 10 15 19 21 21 20 17 21 31 40 59 93 129 147 134 100 68 48 34 24 17 13 12 14 19 24 29 37 43 51 60 66 66 71 81 81 62 52 61 87 115 132 130 133 162 213 253 252 226 190 151 114 82 61 49 33 23 18 13 3 2 3 7 16 31 45 54 53 46 45 36 27 21 23 34 48 53 64 79 93 106 118 119 121 127 134 147 155 143 117 91 69 59 73 105 142 171 182 168 135 96 62 35 19 11 7 6 6 8 8 6 4 7 11 9 8 8 14 28 33 37 44 56 74 93 115 142 175 211 251 273 282 277 258 210 159 124 105 96 88 81
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