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 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 11 11 10 10 9 9 9 10 11 11 11 10 10 10 10 11 12 12 12 12 11 11 11 12 13 16 18 19 18 17 16 15 16 17 17 18 19 19 18 17 16 16 16 16 16 16 16 16 16 16 16 15 13 11 9 9 9 10 11 11 12 11 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 11 11 12 12 13 14 14 13 12 11 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 9 9 9 8 7 6 6 7 7 8 7 7 7 8 9 10 10 8 8 9 10 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 7 4 -1 nan
nan 10 11 11 10 9 8 7 8 8 8 8 8 9 9 10 10 10 11 12 12 11 11 11 10 10 9 10 10 10 10 10 9 9 8 8 9 9 8 8 8 9 10 10 11 11 12 11 11 11 11 11 11 12 13 13 13 13 12 13 14 15 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 14 12 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 8 9 9 10 9 9 8 8 8 9 10 11 11 11 11 11 12 12 12 11 11 11 13 15 16 16 15 13 11 10 10 10 11 11 12 12 12 13 13 12 12 11 12 12 12 12 12 11 10 10 9 9 8 7 7 7 8 9 8 7 7 8 9 11 11 9 9 9 9 11 12 12 12 11 10 8 8 9 9 10 10 10 10 10 9 6 1 nan
nan 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 11 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 12 12 12 13 13 14 14 14 14 15 15 13 12 11 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 7 8 9 10 10 10 9 9 9 10 11 11 11 11 10 10 11 11 11 11 10 10 11 13 15 16 17 16 15 13 12 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 13 14 13 11 10 10 9 8 7 7 7 8 9 8 7 7 7 8 10 10 10 9 9 9 11 12 12 11 10 9 8 8 9 9 9 10 10 10 10 10 8 4 nan
nan 8 9 9 10 9 9 8 8 9 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 7 7 8 9 9 10 10 10 9 9 8 8 8 9 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 10 11 11 11 11 11 11 12 12 11 11 10 10 11 11 12 13 13 15 15 14 14 14 13 12 12 12 13 13 13 13 14 14 14 13 12 11 11 12 13 12 11 10 9 8 8 7 7 7 8 9 8 8 7 7 8 9 9 9 9 9 10 11 12 11 10 9 8 9 9 9 8 9 9 10 11 11 10 9 6 nan
nan 8 8 8 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 7 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 9 10 11 11 10 10 11 11 12 12 12 11 10 11 11 11 11 11 10 11 11 11 12 13 13 12 12 12 12 13 12 12 12 13 13 13 11 9 9 9 10 10 10 9 8 8 8 8 7 7 8 8 9 8 8 8 9 10 10 9 9 10 11 11 11 11 10 8 8 9 9 8 8 8 9 10 10 10 10 9 8 nan
nan 8 8 8 9 10 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 9 9 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 12 11 10 9 9 9 10 11 11 10 10 9 9 10 11 11 10 11 12 12 10 8 7 7 8 9 9 8 7 7 7 8 8 7 7 7 8 8 9 9 10 10 9 8 9 11 12 12 12 11 11 10 9 9 8 7 7 7 8 8 8 8 8 9 9 nan
nan 9 8 8 9 9 9 10 10 11 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 7 6 6 5 5 6 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 9 8 8 7 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 8 9 9 10 11 11 10 10 10 10 11 12 12 11 10 10 12 13 12 10 9 8 9 9 10 10 9 9 8 8 9 10 10 10 10 10 11 10 9 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 8 7 9 10 12 12 13 13 13 12 10 9 7 6 6 6 7 7 6 6 7 7 8 nan
nan 9 9 9 9 8 8 9 10 10 10 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 6 6 6 7 7 7 8 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 11 12 12 11 9 10 12 13 13 12 11 10 9 9 10 10 9 9 8 9 9 10 10 9 9 10 10 10 9 9 8 8 8 7 7 6 7 8 8 9 10 9 9 8 8 9 10 10 10 9 8 9 10 11 12 13 13 13 12 10 8 7 7 7 6 6 6 6 5 6 6 7 nan
nan 9 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 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 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 10 9 10 11 12 12 11 9 10 11 13 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 11 10 10 10 10 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 8 8 7 6 6 5 4 5 6 6 nan
nan 9 9 9 10 10 9 8 7 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 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 9 10 10 11 11 11 11 11 10 9 9 9 10 11 11 10 10 10 11 13 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 10 9 7 6 6 7 7 8 8 9 9 9 8 8 9 9 10 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 7 6 4 4 4 6 6 nan
nan 8 8 8 8 9 9 8 8 8 9 9 10 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 9 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 7 9 10 11 10 9 8 9 8 8 7 7 7 7 7 6 6 6 6 5 5 5 6 6 5 nan
nan 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 10 9 8 8 8 8 9 10 11 11 10 9 8 8 7 7 6 6 9 11 12 11 10 9 9 9 9 8 7 7 6 6 5 4 4 4 5 6 7 6 5 4 nan
nan 9 9 8 8 9 9 8 7 7 8 9 9 9 9 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 9 8 8 7 6 7 10 12 13 13 12 11 11 10 9 8 8 8 7 6 5 5 5 6 7 8 7 6 5 3 nan
nan 10 9 9 9 10 10 9 8 7 7 8 9 9 8 8 8 9 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 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 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 9 9 9 9 10 9 9 10 10 10 9 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 9 11 12 13 13 13 13 12 11 10 9 9 8 8 7 7 7 7 8 8 8 8 7 6 5 nan
nan 10 10 10 10 10 10 9 8 8 8 8 8 9 8 8 8 9 10 10 11 11 10 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 11 10 10 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 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 14 13 12 13 12 12 10 9 9 9 9 9 9 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 11 10 11 11 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 7 8 8 9 8 nan
nan 10 10 10 10 10 10 9 8 8 7 8 8 8 9 8 8 9 9 10 11 11 10 10 10 10 9 9 9 8 8 7 7 7 8 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 14 15 17 18 19 20 19 17 16 15 14 12 10 9 9 9 9 10 11 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 11 11 11 11 11 11 11 10 8 8 8 9 10 11 10 10 9 9 8 8 7 7 8 9 10 nan
nan 10 10 10 10 9 9 9 8 8 7 6 7 8 8 9 8 8 9 10 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 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 9 8 8 8 8 8 8 9 10 12 14 15 16 18 19 21 22 24 24 24 23 21 20 17 14 11 9 8 8 10 11 11 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 11 11 11 11 10 10 10 11 11 11 11 11 10 8 7 7 8 11 12 12 12 11 10 9 9 8 8 7 7 7 9 nan
nan 10 10 10 9 8 8 8 9 9 8 7 7 7 8 8 9 9 9 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 11 10 10 11 13 15 15 13 11 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 9 11 14 15 16 16 16 18 19 22 24 25 26 26 24 22 19 16 13 10 10 10 10 10 11 11 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 11 10 9 8 8 9 11 12 13 12 12 11 10 9 9 9 8 7 6 6 7 nan
nan 9 9 9 8 8 8 9 9 10 10 9 8 7 7 7 8 9 9 9 10 10 10 10 9 10 10 10 11 11 11 12 12 12 11 10 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 11 12 11 11 10 10 12 15 18 20 18 16 13 11 9 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 7 6 6 8 10 11 12 12 12 13 14 16 18 19 21 23 24 24 23 22 20 17 15 14 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 12 11 9 8 8 8 9 10 10 10 10 10 10 10 9 9 10 12 13 12 12 11 10 10 9 9 9 8 8 7 7 6 6 nan
nan 9 8 8 8 8 8 9 10 11 11 11 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 10 10 11 13 15 18 19 18 17 15 12 10 10 11 12 12 13 12 11 9 9 8 8 9 8 8 7 7 7 7 7 8 9 10 10 9 7 5 3 3 4 6 7 8 8 9 10 12 13 14 15 17 19 21 22 24 24 24 23 21 19 17 14 13 12 11 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 8 9 10 11 10 9 7 7 7 8 9 9 9 9 10 10 11 11 11 11 13 13 13 11 10 9 9 9 9 8 8 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 9 9 10 11 10 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 11 11 13 15 17 19 19 17 13 10 9 8 9 10 10 9 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 9 8 6 4 1 0 1 2 3 3 3 4 5 8 9 11 12 13 14 15 17 19 21 24 25 26 25 24 21 19 17 14 11 10 11 11 11 10 9 9 9 9 10 10 9 9 8 8 9 10 10 9 8 7 7 8 9 9 10 9 9 10 11 12 12 13 14 14 13 12 10 10 9 9 8 8 7 6 6 6 6 7 7 7 nan
nan 8 8 8 9 9 9 8 8 8 9 9 9 9 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 10 10 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 11 11 10 8 8 9 10 10 10 11 12 15 19 21 20 15 10 6 4 5 6 6 6 6 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 7 5 3 1 1 2 2 2 1 -0 0 2 4 7 9 11 11 11 12 13 15 17 20 22 24 25 25 25 22 18 15 13 12 11 11 10 10 10 10 11 11 11 10 9 9 9 10 10 9 9 8 8 8 9 10 10 11 10 10 10 11 12 13 14 15 14 13 11 10 10 9 9 8 7 6 6 5 6 6 6 7 7 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 13 12 12 11 10 8 7 8 10 10 10 10 11 13 16 18 19 17 13 8 6 5 5 6 6 6 7 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 6 5 5 5 5 5 5 3 0 -1 -1 1 4 6 8 9 10 10 11 12 13 15 18 20 22 24 25 24 22 19 17 13 11 11 10 10 11 12 12 11 10 10 9 10 10 10 10 9 8 8 8 9 10 10 11 11 10 10 11 11 12 13 14 14 13 11 11 10 10 9 7 6 6 6 6 6 7 7 7 8 nan
nan 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 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 11 11 11 12 12 12 12 12 11 10 8 8 9 10 11 10 10 10 10 12 15 18 18 16 13 10 9 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 10 10 7 4 0 -2 -1 1 4 7 9 9 9 9 9 10 12 14 16 19 23 25 26 26 23 19 15 13 12 10 10 11 11 11 11 11 10 11 10 10 9 8 7 7 8 8 9 10 10 10 10 10 10 11 11 12 13 13 12 12 11 11 10 9 7 6 6 7 7 8 8 9 9 9 nan
nan 9 9 9 9 8 8 8 9 10 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 10 8 8 9 10 10 10 9 9 10 11 14 17 19 18 15 12 10 9 9 10 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 10 10 10 9 8 7 6 5 8 12 14 14 11 7 2 -1 -1 -1 1 5 6 6 6 7 7 8 9 10 13 16 20 24 26 26 24 22 19 17 14 12 11 11 11 12 12 12 11 10 9 8 7 7 7 7 7 8 9 10 10 10 10 11 11 12 12 13 12 12 11 11 11 10 8 7 7 7 8 9 9 9 10 10 10 nan
nan 9 10 11 11 9 8 8 9 10 10 10 10 10 9 9 9 9 8 7 7 8 10 10 11 10 9 9 10 10 9 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 8 9 9 10 9 9 9 9 10 11 13 16 18 19 16 12 10 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 4 3 5 9 12 14 14 12 8 4 1 -2 -3 -2 0 2 3 3 4 4 4 5 6 8 12 16 20 22 23 24 24 23 22 19 17 14 13 13 13 12 11 9 8 7 6 6 7 7 7 7 8 9 9 10 11 11 11 13 14 14 12 11 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 nan
nan 9 10 11 12 11 10 9 9 9 9 10 11 11 10 9 9 9 8 7 7 8 10 11 12 12 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 7 8 9 10 9 9 9 9 9 10 12 15 18 19 18 14 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 6 4 4 5 7 9 11 12 12 10 8 5 2 -1 -3 -3 -3 -1 -0 0 1 1 1 1 1 3 7 11 14 16 19 22 24 26 26 24 20 17 14 13 11 10 8 7 7 6 7 7 8 8 8 7 7 8 9 10 10 11 13 15 14 13 9 7 7 7 7 8 9 10 11 11 10 10 10 10 11 12 nan
nan 9 9 9 10 10 10 9 9 8 9 10 11 11 10 9 9 9 9 8 8 8 10 11 12 13 12 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 7 9 10 9 9 9 8 8 9 11 13 16 19 19 16 13 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 6 6 6 7 8 9 10 10 11 11 10 9 7 5 3 1 -0 -0 1 1 2 2 2 1 -1 -1 -0 2 5 7 9 12 16 20 23 24 23 20 16 13 11 9 8 8 8 8 8 9 10 9 8 7 7 8 9 9 10 11 13 14 14 11 8 6 6 6 8 10 11 13 14 13 12 11 11 12 13 13 nan
nan 8 8 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 11 12 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 8 8 9 10 9 9 8 8 8 8 9 11 13 16 16 15 13 11 10 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 10 10 11 11 12 11 11 10 10 9 8 7 6 5 6 6 7 6 5 3 2 0 -0 1 2 3 4 6 9 13 16 17 17 15 13 11 9 9 9 9 10 11 11 11 10 9 8 8 9 9 10 10 11 12 13 12 9 7 6 6 8 9 11 13 14 14 13 13 13 14 14 14 13 nan
nan 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 10 11 11 10 10 9 9 9 9 8 8 8 8 9 9 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 9 8 7 7 8 8 9 10 12 12 12 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 12 12 13 13 12 12 11 11 11 11 11 10 9 9 9 9 9 8 7 7 6 4 3 3 4 4 3 3 5 7 10 11 12 11 10 10 10 10 11 12 13 13 12 12 10 10 10 11 11 11 12 12 12 11 10 8 8 8 9 9 10 11 12 13 13 13 13 14 14 14 13 11 nan
nan 8 8 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 11 10 9 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 8 6 6 7 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 10 10 10 11 12 14 15 16 14 13 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 9 8 8 8 8 8 7 7 7 9 10 10 10 9 10 10 11 11 12 13 13 14 13 13 13 13 13 13 13 13 12 11 10 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 10 9 8 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 9 7 6 6 8 9 10 9 8 7 7 6 6 6 6 6 7 7 8 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 12 14 17 18 17 14 12 11 10 10 11 11 11 10 10 9 9 9 10 10 11 10 10 10 11 13 14 15 14 13 13 12 11 10 10 10 11 11 11 12 13 14 15 16 17 17 17 17 16 15 14 12 10 9 9 10 11 13 13 12 12 12 12 12 12 11 10 9 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 10 9 9 8 9 9 9 9 8 8 8 9 10 10 9 9 9 9 8 8 7 8 8 9 10 11 11 10 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 9 8 7 7 8 9 8 8 7 6 6 5 5 5 5 5 6 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 13 16 19 19 16 13 10 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 11 13 16 19 22 22 20 18 17 16 15 15 14 14 13 13 13 14 16 17 18 20 21 22 22 20 18 15 12 9 9 10 12 14 13 13 12 12 12 12 11 11 9 7 6 6 6 6 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 10 10 11 11 10 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 11 11 12 12 12 11 11 10 10 9 8 8 7 7 8 9 9 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 12 16 17 16 13 10 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 12 15 18 22 24 23 22 21 20 21 21 20 19 18 17 17 18 18 18 19 21 23 24 25 25 23 19 15 13 12 13 14 14 12 11 11 11 11 11 10 8 7 6 6 6 6 6 7 nan
nan 9 9 9 8 8 8 8 8 8 9 9 10 10 9 7 6 7 8 9 10 10 11 10 10 9 9 9 9 9 10 9 9 7 6 7 7 8 8 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 10 9 8 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 10 9 7 7 9 12 13 12 11 9 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 8 7 9 12 15 17 18 18 18 18 19 20 21 20 19 18 18 17 17 17 18 20 23 24 26 26 24 21 19 17 15 14 12 10 10 9 10 10 9 9 8 7 6 6 6 7 7 7 nan
nan 9 8 8 8 7 7 7 7 7 8 9 10 11 11 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 7 6 6 7 8 8 9 8 9 9 8 8 7 8 9 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 12 11 10 9 8 8 7 6 7 7 8 8 8 9 9 9 9 8 9 10 11 13 15 16 16 15 14 13 12 12 12 12 12 11 9 6 4 5 9 11 13 12 11 9 8 7 8 9 9 9 9 10 10 10 10 10 10 8 5 3 1 2 4 6 8 9 10 10 11 13 14 15 14 14 14 13 13 14 14 16 18 20 23 24 25 24 22 19 15 12 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 nan
nan 9 8 8 7 7 6 6 7 7 8 9 11 11 11 10 9 9 9 8 9 9 9 9 9 10 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 8 8 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 8 7 7 8 8 8 9 10 10 9 8 8 9 10 11 15 19 20 19 17 15 13 13 13 13 13 12 10 7 5 6 8 11 13 13 11 10 9 9 9 9 9 8 8 9 9 10 10 10 9 8 6 3 0 -2 -3 -3 -2 0 2 2 3 3 4 5 6 7 8 9 10 10 11 11 13 15 17 20 21 22 20 18 15 12 11 10 9 9 9 9 9 9 8 7 7 7 7 7 8 8 nan
nan 9 9 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 9 8 9 8 8 8 8 8 8 8 10 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 7 6 5 6 10 16 20 22 21 18 15 14 14 14 15 14 13 10 8 8 9 10 11 10 9 8 8 9 9 8 7 7 7 8 9 9 9 9 9 8 7 5 2 -1 -3 -5 -6 -5 -4 -4 -4 -5 -4 -3 -1 1 3 4 5 6 6 6 7 9 11 15 17 18 18 17 16 16 15 13 11 10 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 9 9 9 8 7 7 7 7 8 9 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 9 7 7 8 9 10 10 11 10 10 10 10 11 11 11 12 11 11 10 9 9 10 10 9 9 8 7 6 6 8 10 11 10 9 9 9 9 9 8 8 8 9 8 7 6 6 7 9 9 9 8 5 2 1 4 9 15 21 23 22 20 18 18 17 17 16 14 11 10 9 9 9 9 8 7 7 8 8 8 7 6 6 6 7 8 8 8 8 8 8 7 6 4 2 -0 -3 -4 -5 -5 -5 -5 -6 -6 -6 -5 -3 -1 -0 1 2 2 3 3 4 6 9 13 16 17 18 18 18 17 15 13 11 9 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 8 9 9 10 11 10 10 9 10 10 10 9 10 12 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 13 15 17 16 14 13 14 15 15 15 13 12 11 11 12 13 13 12 12 11 11 12 12 12 11 11 10 9 8 8 7 7 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 10 11 12 13 13 13 11 10 10 10 11 11 10 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 14 14 14 14 12 10 8 6 6 6 8 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 10 10 nan
nan 10 10 10 11 11 9 8 8 9 10 10 10 10 12 13 13 13 12 10 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 13 12 12 12 11 11 11 11 11 10 10 9 10 10 12 13 15 16 15 13 12 12 12 13 12 11 10 9 9 9 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 8 8 9 11 12 12 12 11 11 11 11 12 11 10 10 9 10 10 11 11 11 11 12 12 13 12 12 12 13 15 16 17 16 15 14 12 11 10 10 10 9 9 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 nan
nan 14 14 13 13 11 8 6 5 6 7 8 9 10 11 12 13 12 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 12 13 13 13 12 11 11 11 11 11 11 10 10 10 10 11 13 14 14 14 14 13 12 11 11 10 10 9 8 7 7 7 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 7 8 10 11 12 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 12 13 13 12 12 12 13 15 15 15 15 15 15 14 14 13 13 11 10 9 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 10 10 9 10 11 11 12 nan
nan 17 18 17 16 13 9 6 4 3 4 6 7 9 10 11 12 12 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 10 10 9 10 11 12 13 14 14 13 13 12 12 11 10 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 7 7 7 8 10 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 10 9 8 8 9 9 9 9 10 10 11 11 12 12 13 12 11 10 10 10 11 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 12 12 nan
nan 17 19 20 19 15 10 7 5 4 5 7 8 9 9 10 11 11 11 11 11 10 9 9 8 9 9 9 10 10 9 9 9 9 9 9 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 14 13 13 12 12 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 10 9 9 8 9 9 10 11 12 12 12 12 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 11 10 9 8 7 7 7 8 8 9 10 11 12 13 14 14 13 12 11 11 11 12 12 13 13 13 12 11 10 11 11 12 12 12 11 11 11 11 11 12 nan
nan 14 18 20 20 16 11 8 6 7 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 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 13 14 13 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 12 12 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 9 10 11 12 14 14 14 14 13 12 11 11 12 12 12 12 12 11 11 10 10 10 11 13 13 12 12 11 11 11 11 11 nan
nan 12 15 18 18 15 11 8 7 7 8 8 8 9 9 10 10 10 11 11 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 15 13 10 8 8 9 10 11 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 12 13 13 14 14 14 13 12 12 11 12 12 12 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 nan
nan 11 14 15 15 14 12 10 8 6 5 6 6 8 9 10 10 10 10 11 12 12 12 11 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 12 14 16 18 19 17 12 8 4 3 5 9 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 11 11 12 12 11 11 12 12 12 12 11 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 nan
nan 11 13 14 15 15 15 13 11 8 6 6 7 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 13 16 19 21 22 18 10 4 -1 -3 1 6 10 12 12 12 12 12 12 12 13 12 12 12 11 12 12 11 11 11 11 11 10 10 10 10 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 9 8 8 8 9 11 11 12 11 10 9 9 10 11 12 11 10 9 9 10 10 10 11 11 11 12 11 11 10 9 9 10 10 12 13 13 13 12 12 11 11 nan
nan 10 12 13 14 14 15 14 12 10 9 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 15 19 23 25 24 18 10 4 -4 -6 -2 3 8 11 12 11 11 11 12 12 12 13 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 11 10 9 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 9 8 8 9 10 12 12 11 10 9 9 10 11 12 12 12 11 11 11 10 10 10 10 10 11 11 11 10 9 10 10 11 11 12 13 13 13 12 12 11 nan
nan 9 10 11 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 14 19 24 27 26 21 14 7 -3 -7 -4 1 6 10 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 12 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 10 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 11 9 8 8 9 11 12 12 11 10 9 9 10 11 12 12 13 13 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 nan
nan 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 11 17 23 27 28 24 19 11 0 -5 -3 0 6 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 13 12 10 8 8 8 9 10 11 10 10 9 9 10 11 12 13 13 14 14 14 13 13 12 10 10 10 10 11 11 11 10 9 9 9 9 9 10 11 11 11 nan
nan 10 10 11 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 9 8 9 9 9 9 8 8 7 6 7 9 14 20 24 26 25 21 13 4 1 1 3 7 10 11 11 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 10 9 8 8 8 9 9 9 9 9 9 10 12 13 14 14 14 14 14 13 14 13 13 12 12 12 12 13 12 11 10 9 8 8 7 8 8 9 10 nan
nan 10 10 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 12 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 10 9 8 7 6 6 8 12 16 19 21 20 18 13 8 6 5 6 9 10 10 11 11 12 12 12 11 11 12 12 11 12 12 12 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 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 11 10 10 9 9 9 8 8 8 8 8 9 11 13 14 15 15 14 13 12 12 12 12 12 13 13 13 14 14 13 12 11 10 9 8 8 7 8 8 9 nan
nan 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 10 12 14 15 15 14 12 10 9 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 13 13 12 11 11 10 10 9 9 8 7 7 7 9 12 13 15 16 16 15 14 12 11 10 10 10 11 11 12 13 13 13 13 12 11 11 10 9 9 9 9 10 nan
nan 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 11 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 11 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 13 13 12 11 11 11 11 11 10 9 7 6 7 9 11 13 15 16 15 15 14 12 11 10 9 8 8 9 10 11 11 11 11 12 12 11 11 10 10 10 10 10 nan
nan 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 10 10 11 12 13 12 11 10 10 11 12 12 12 11 9 8 7 8 10 12 14 15 15 15 14 13 12 11 10 9 8 8 8 9 9 10 11 11 12 12 11 11 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 11 12 13 13 12 11 9 9 10 11 12 13 13 12 10 9 9 9 10 12 13 14 15 14 14 13 11 11 10 9 9 8 9 9 10 11 11 12 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 12 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 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 9 9 9 9 11 12 12 12 11 10 9 9 10 10 12 13 15 15 14 13 12 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 nan
nan 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 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 11 12 12 12 12 12 13 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 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 12 11 11 10 10 10 10 11 10 10 9 9 9 10 10 12 13 14 15 14 13 13 12 12 12 11 10 10 10 11 12 11 11 11 11 11 11 11 10 10 nan
nan 11 11 10 10 10 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 11 11 11 11 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 11 11 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 11 11 11 12 12 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 10 10 11 11 11 12 12 12 13 13 12 11 10 10 10 9 9 9 9 10 10 11 12 13 14 14 14 13 13 14 14 13 12 11 10 10 11 11 11 11 10 10 10 11 10 10 9 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 13 13 13 14 13 13 12 12 12 11 11 11 10 10 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 13 12 12 11 11 11 12 13 13 13 13 13 12 12 11 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 13 13 13 12 12 11 11 10 9 9 10 11 12 12 13 13 13 13 12 12 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 10 10 11 11 10 11 11 11 12 12 11 10 9 9 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 10 10 9 9 8 8 9 9 10 10 10 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 11 11 12 12 12 13 13 13 13 13 13 13 12 11 10 9 10 10 9 9 9 9 10 11 11 12 12 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 11 10 9 10 10 11 12 13 13 12 12 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 10 10 10 10 11 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 13 11 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 11 10 9 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 10 10 10 10 11 12 13 13 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 11 11 11 11 12 12 12 12 12 11 12 12 13 14 14 13 11 9 9 9 8 8 8 7 8 9 10 10 11 11 11 11 11 11 12 13 15 16 16 15 14 13 11 9 7 7 8 10 12 12 12 11 10 9 9 8 9 10 10 11 10 10 9 9 9 11 13 14 14 13 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 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 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 12 12 12 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 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 11 10 10 10 10 9 8 7 7 8 9 10 11 11 11 11 11 11 12 15 18 18 18 16 14 12 9 7 6 6 8 11 13 13 11 10 9 8 8 8 9 9 10 10 9 9 8 7 8 9 12 13 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 nan
nan 11 11 11 11 11 11 11 10 10 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 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 10 11 11 11 12 13 13 13 12 11 11 12 12 11 10 9 8 8 9 9 10 10 10 10 10 10 12 16 18 19 18 16 13 11 9 7 6 7 10 13 14 12 10 8 7 8 9 9 10 10 10 11 10 9 8 6 7 8 10 13 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 nan
nan 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 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 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 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 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 11 10 9 9 9 10 10 10 10 10 10 13 15 17 18 17 15 12 10 9 7 7 9 11 13 12 10 8 7 8 9 10 11 11 10 11 12 11 11 9 7 7 8 10 12 13 13 12 12 12 12 12 11 11 11 11 11 12 12 11 10 10 10 11 11 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 10 10 9 9 9 10 10 10 10 11 11 11 12 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 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 13 13 13 12 11 10 9 10 10 10 10 11 12 14 15 17 17 16 14 12 10 9 7 7 8 9 10 9 7 6 7 9 11 12 12 12 11 12 12 12 12 11 10 9 9 11 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 11 10 10 9 10 11 11 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 13 12 12 11 10 10 10 10 10 9 9 9 10 10 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 13 13 13 11 11 12 13 13 13 12 11 11 11 11 11 12 12 14 15 16 17 16 14 13 11 9 8 7 6 7 9 9 8 7 6 7 8 10 11 12 12 12 12 13 13 12 11 11 10 10 11 12 13 13 13 12 11 11 10 10 10 10 10 11 12 12 12 11 10 10 10 11 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
26 8 2 2 2 2 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 2 2 2 3 5 9 16 19 17 11 8 7 4 2 4 9 22 34 47 59 73 88 105 120 128 134 134 125 97 63 36 22 25 56 104 139 157 163 166 170 170 172 182 191 189 179 172 165 152 131 105 81 62 44 29 21 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 21 23 18 10 4 0 1 7 23 41 52 60 69 72 74 80 93 108 122 149 188 231 255 251 225 192 159 127 114 119 131 148 163 168 175 221 287 343 358 305 214 138 81 43 29 19 16 11 8 9 11 13 17 22 26 28 28 34 38 44 50 57 67 72 70 63 49 30 26 21 16 10 5 3 4 4 4 5 8 13 20 27 30 33
39 12 2 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 3 4 4 3 3 3 8 14 16 15 10 5 4 3 3 2 2 4 4 6 10 17 25 40 58 76 91 98 93 66 38 18 9 11 27 59 76 88 96 95 94 100 115 132 146 149 142 125 102 73 45 27 16 9 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 22 17 11 5 2 1 0 0 1 3 5 7 12 19 23 27 32 39 46 49 62 92 142 199 244 242 217 192 173 172 169 176 191 202 208 229 268 307 321 286 215 153 97 50 17 14 8 6 8 15 24 26 33 43 51 49 37 31 34 37 36 38 46 55 63 70 73 65 50 40 36 30 17 6 4 4 4 5 6 8 12 17 23 25 23
12 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 4 6 7 7 5 8 11 12 10 6 6 2 2 2 2 2 2 1 1 1 2 3 9 19 32 47 57 52 36 21 11 5 4 8 19 21 19 18 23 28 31 43 62 83 95 90 76 52 26 8 4 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 25 28 15 5 1 0 0 0 0 0 0 0 0 1 3 4 6 9 11 14 17 23 35 60 102 160 192 196 191 199 225 232 232 235 236 245 268 282 280 255 198 148 108 70 32 8 2 0 3 9 21 29 31 36 44 50 52 48 52 56 52 35 37 39 42 51 68 79 75 68 66 67 64 42 24 12 7 6 8 9 10 12 16 20 20 20
0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 17 20 16 13 11 9 7 4 2 2 2 1 1 1 1 1 1 0 0 0 2 5 11 20 26 23 18 12 8 7 6 7 9 9 8 7 11 14 19 29 40 49 58 59 53 37 17 8 6 4 3 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 9 17 16 10 5 2 0 0 1 1 0 0 0 0 0 0 0 0 1 3 2 3 8 13 17 16 22 41 67 91 114 134 174 196 196 202 205 212 221 222 207 177 138 102 70 41 15 5 2 1 4 12 22 23 19 20 27 38 47 57 67 72 72 59 51 48 56 75 90 89 95 100 102 101 93 63 35 19 14 12 14 15 14 14 14 15 16 16
0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 7 9 14 19 18 13 9 6 5 4 3 3 2 2 1 2 2 1 0 0 0 0 0 1 4 8 11 11 10 9 8 8 9 13 18 22 25 27 28 29 31 35 43 53 63 62 56 44 27 15 9 5 3 2 3 3 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 4 12 19 21 15 8 3 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 4 8 12 12 10 12 18 19 32 51 82 107 115 119 124 128 135 142 139 120 99 74 46 22 8 2 1 1 5 13 16 15 11 9 14 24 36 49 60 66 70 66 64 67 73 79 88 101 117 131 134 119 107 82 53 31 23 21 22 21 19 14 12 12 13 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 15 17 12 8 5 4 4 4 3 3 3 3 3 2 1 1 0 0 0 1 1 2 3 5 6 6 7 8 10 14 21 28 34 38 39 39 38 38 38 41 48 58 58 53 45 34 23 13 6 3 2 2 3 3 3 4 3 2 3 3 2 1 1 1 2 4 7 8 11 15 23 28 25 17 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 11 24 36 47 50 23 20 25 36 49 55 53 62 71 79 90 93 81 71 58 39 19 5 1 2 6 10 11 13 12 10 8 7 11 18 29 38 40 39 40 46 56 67 74 88 109 133 150 150 133 120 102 75 46 35 31 28 23 17 13 11 10 10 12
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 7 7 7 5 4 4 3 3 2 1 2 2 2 1 1 0 0 0 0 0 1 1 1 1 1 0 3 10 19 26 28 31 37 45 52 54 53 50 47 43 37 28 20 14 11 10 6 4 2 1 1 0 0 1 1 2 1 1 0 0 0 2 12 23 34 41 43 39 32 24 15 7 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 9 18 37 40 40 41 40 37 34 33 34 36 39 53 80 83 68 48 26 8 3 4 6 8 8 5 3 2 1 0 0 0 2 6 12 11 7 7 14 19 28 42 59 80 106 129 141 142 133 114 81 53 36 28 28 20 15 13 12 11 11 13
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