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 5 6 8 10 13 17 20 20 20 17 15 13 10 6 0 -2 -2 -1 1 1 2 4 7 11 15 17 17 17 16 15 15 14 12 11 10 11 11 11 10 8 7 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 7 6 7 9 10 10 9 8 8 7 6 6 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 11 11 10 10 9 8 7 6 6 7 8 10 10 11 11 11 12 13 14 14 13 12 12 13 12 11 11 9 8 7 7 7 6 5 5 5 5 6 7 7 7 7 7 8 9 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 10 9 8 9 10 nan
nan 5 5 6 7 9 12 15 17 19 18 18 20 21 18 12 7 4 3 2 2 2 3 5 8 12 15 17 18 18 18 17 16 15 14 12 11 11 11 10 9 7 6 6 6 7 8 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 10 9 8 8 7 6 7 7 7 6 6 7 7 8 8 7 6 6 6 6 7 8 9 10 9 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 10 9 7 6 6 7 9 10 10 10 10 10 12 14 14 14 12 12 11 12 11 11 10 9 7 7 7 7 6 5 5 5 6 7 8 8 7 8 8 9 9 9 8 8 8 7 6 6 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 9 10 11 11 9 8 7 8 9 nan
nan 5 5 6 6 7 8 11 13 15 15 17 19 22 22 21 17 12 9 6 5 5 5 6 8 10 13 16 18 20 20 20 18 17 16 14 12 12 11 10 9 7 6 5 6 7 8 8 7 8 7 7 7 8 9 10 11 12 13 13 12 11 10 9 8 7 7 7 8 7 7 7 6 7 7 7 6 5 6 6 6 6 7 8 10 10 10 9 9 9 9 8 8 9 10 11 11 11 11 12 13 13 12 10 8 7 7 7 7 8 9 10 10 10 10 12 13 13 13 12 12 11 10 10 10 9 7 6 7 8 7 6 6 6 6 7 8 9 9 8 8 9 9 9 9 9 9 9 8 7 6 7 8 9 10 11 11 11 10 10 9 10 10 10 11 10 9 8 8 9 9 9 8 8 8 8 9 10 11 11 10 8 7 7 8 8 nan
nan 5 5 5 6 6 8 9 10 11 12 13 14 15 16 17 16 15 12 10 9 8 8 9 9 9 11 14 17 20 21 20 19 18 17 15 14 13 12 11 9 6 5 5 6 7 7 7 7 7 7 7 7 8 9 12 14 15 15 14 12 10 9 8 7 7 6 7 8 8 8 8 8 8 9 8 6 6 6 7 7 7 8 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 12 13 13 12 11 9 8 7 7 6 7 7 9 10 11 10 10 10 11 11 12 12 11 10 10 9 9 8 7 7 8 8 8 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 9 8 8 7 7 7 7 8 10 11 11 11 10 10 10 10 11 13 13 12 11 10 9 9 10 10 10 9 9 9 9 10 11 11 10 8 6 6 7 8 nan
nan 5 4 5 6 7 9 10 9 9 9 9 10 11 11 11 11 11 11 11 10 10 11 10 10 10 10 12 14 16 18 19 19 18 18 18 17 15 13 11 9 6 5 6 7 7 7 7 7 8 8 8 8 9 11 15 16 15 14 12 11 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 9 9 10 11 11 11 10 9 9 10 10 11 11 11 11 10 10 10 9 9 8 7 6 6 7 8 10 11 11 10 10 9 9 10 10 10 10 9 9 8 7 7 8 9 10 9 8 7 7 7 7 8 8 8 7 8 8 9 10 10 10 9 8 7 7 8 8 8 8 8 9 10 10 10 9 9 10 11 12 13 13 12 11 10 9 9 9 9 10 10 10 9 10 10 10 10 8 7 7 7 8 nan
nan 5 5 5 7 8 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 12 14 15 16 18 19 20 20 18 15 12 9 7 6 7 7 7 7 7 8 9 10 10 10 11 12 15 14 13 11 10 9 8 9 10 9 8 7 8 8 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 11 11 11 10 9 9 10 11 11 12 11 10 9 9 10 9 9 8 7 6 6 7 8 10 11 11 11 10 9 8 9 9 10 9 9 8 8 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 7 6 7 7 8 8 8 8 9 9 9 9 8 8 8 9 10 11 12 12 12 11 10 9 9 8 9 9 10 10 9 9 10 10 9 8 8 8 8 nan
nan 6 5 5 6 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 9 10 11 12 13 15 18 20 22 21 18 14 10 8 7 7 7 7 7 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 9 9 9 8 7 8 9 9 8 7 7 7 8 7 7 7 7 7 7 8 8 9 10 11 12 12 11 11 10 10 10 11 12 13 13 11 10 9 9 9 9 8 7 7 7 7 8 8 9 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 7 7 7 8 8 8 8 8 9 8 8 7 6 6 6 7 9 11 11 12 12 11 10 10 9 8 9 9 10 10 10 10 10 9 8 8 8 8 nan
nan 4 4 4 5 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 9 8 8 7 7 8 9 11 11 12 14 17 20 23 23 20 16 11 8 7 6 6 7 9 11 12 10 8 7 6 5 4 4 4 4 5 5 6 5 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 10 11 13 14 14 14 13 12 13 13 14 15 15 14 11 10 9 9 8 8 7 8 8 8 8 8 8 9 10 11 11 10 10 10 10 9 9 9 9 9 8 8 9 8 8 8 8 9 8 7 7 7 7 7 7 7 8 8 8 8 9 10 11 11 10 9 9 8 8 7 7 7 8 8 8 7 6 6 6 7 9 9 9 10 11 11 11 11 9 8 8 9 9 10 10 9 8 7 7 8 8 8 nan
nan 4 3 4 5 6 6 6 6 7 7 7 8 8 8 8 9 8 8 8 8 9 10 10 9 9 8 8 9 10 11 12 13 15 17 21 24 25 23 18 13 9 7 7 7 9 11 12 10 7 5 3 1 1 0 1 2 2 3 3 4 4 4 4 5 6 5 5 6 6 5 5 6 6 7 7 7 7 8 8 8 8 8 9 10 12 13 14 15 15 14 14 15 15 16 16 15 13 11 10 9 9 9 8 8 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 11 11 11 11 11 11 9 7 7 7 7 8 8 8 7 7 8 9 9 8 7 8 9 10 11 11 10 9 8 9 9 9 9 8 7 7 7 8 8 8 nan
nan 6 5 5 6 6 6 6 6 7 7 7 7 8 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 11 13 14 15 17 19 22 24 25 24 20 15 11 9 9 9 11 12 11 8 5 3 2 2 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 8 8 9 10 11 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 9 9 9 9 8 8 7 6 6 8 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 8 8 9 11 12 12 10 8 7 7 7 7 7 7 7 8 9 10 10 11 12 12 11 10 9 9 9 10 9 8 8 8 9 10 10 8 6 6 8 9 10 11 10 10 9 9 9 9 9 8 7 7 7 8 7 7 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 10 11 11 11 11 11 12 13 14 16 17 18 20 21 23 25 24 22 19 14 12 12 13 14 13 10 7 4 3 5 6 8 9 9 8 6 5 4 3 3 4 5 5 5 5 6 6 6 7 8 9 10 10 10 10 10 9 9 9 8 7 6 6 7 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 9 8 8 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 7 8 11 13 13 12 9 8 7 7 7 7 7 7 8 8 8 9 9 11 11 11 11 11 12 12 12 11 9 8 8 9 10 10 9 7 6 7 8 9 9 10 9 9 9 8 8 9 9 9 8 8 8 7 7 nan
nan 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 12 12 12 13 15 16 17 17 18 20 21 22 23 22 20 16 14 15 16 16 15 12 7 4 5 7 8 9 9 10 9 8 6 5 4 5 6 6 6 6 6 6 7 8 9 10 10 11 11 11 10 10 10 9 9 7 5 4 4 6 7 9 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 11 11 11 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 8 8 8 8 9 10 10 11 11 12 13 14 13 11 9 8 8 8 10 10 10 8 7 7 7 7 8 8 8 7 7 6 7 8 9 9 9 9 9 8 7 nan
nan 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 11 12 12 12 11 11 13 15 16 16 16 17 17 18 19 19 18 16 15 16 17 17 17 15 11 8 8 8 7 7 8 10 10 9 7 5 6 7 8 7 6 6 6 7 8 10 11 11 11 11 10 10 10 10 9 9 9 8 6 5 5 6 7 8 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 10 11 11 11 11 11 10 10 10 9 8 7 6 6 7 8 9 9 10 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 11 12 13 14 13 12 10 9 9 9 9 10 10 9 8 7 7 6 6 6 6 6 5 5 6 8 9 10 11 11 10 9 8 nan
nan 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 12 12 12 11 10 10 12 13 14 14 13 13 13 13 14 14 15 15 15 16 17 17 17 17 16 16 14 11 9 8 9 11 10 8 6 5 6 7 8 7 6 6 6 8 9 11 10 10 10 10 9 9 9 9 9 9 9 9 9 7 6 6 6 7 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 8 8 8 9 10 11 12 11 10 9 9 9 9 8 8 7 6 6 7 8 9 10 11 12 12 11 10 9 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 11 12 12 12 12 12 11 10 10 9 9 9 9 9 8 8 6 6 6 7 6 5 6 7 9 10 11 11 11 10 10 10 nan
nan 7 7 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 11 12 12 12 11 10 10 11 11 12 12 11 11 11 10 10 11 12 14 14 15 15 15 15 15 18 20 18 14 12 12 11 10 9 6 4 4 5 7 7 6 5 6 7 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 11 11 10 10 9 8 8 8 8 9 9 9 8 8 9 9 10 11 12 11 10 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 9 9 9 8 7 7 7 8 8 8 8 8 10 11 11 11 11 11 10 10 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 11 10 10 10 11 11 11 11 11 11 10 10 10 11 12 13 13 13 13 13 12 15 17 17 15 15 15 15 13 8 5 3 4 5 7 7 7 7 7 8 8 8 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 11 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 12 12 11 11 12 13 14 15 17 18 15 10 7 6 7 8 8 9 9 9 9 9 8 7 6 7 8 8 8 8 8 8 7 7 7 8 8 9 11 11 11 9 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 9 9 9 8 8 9 9 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 9 9 9 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 12 13 15 17 17 15 13 12 12 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 7 7 7 9 9 8 6 4 4 5 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 12 11 11 11 12 12 11 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 9 10 9 8 7 6 6 5 6 6 7 8 8 8 8 9 9 8 7 6 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 13 15 16 17 17 17 17 17 17 17 15 14 14 14 13 12 10 9 9 8 8 8 8 9 9 8 8 7 6 7 7 8 7 6 5 6 7 7 6 4 3 4 5 6 7 8 9 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 12 12 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 9 9 10 9 8 7 6 5 5 6 7 7 7 7 8 8 8 8 6 5 4 5 nan
nan 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 14 15 17 18 18 18 19 19 18 16 15 14 14 14 13 12 10 9 9 8 8 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 6 5 4 4 5 5 7 8 9 10 10 10 11 12 12 12 12 12 11 11 10 10 11 11 12 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 11 10 11 11 11 10 10 10 10 11 11 12 12 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 6 5 5 6 nan
nan 8 8 9 9 8 9 9 9 10 10 10 11 11 10 10 9 9 9 10 11 11 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 11 10 10 11 13 14 15 16 16 16 15 15 13 12 12 11 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 9 10 10 11 11 11 12 12 11 11 11 11 11 11 12 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 9 9 8 7 8 8 8 9 9 10 10 9 9 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 6 7 8 8 nan
nan 7 8 8 8 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 13 12 11 9 8 8 8 9 9 9 9 8 8 8 7 7 6 6 6 7 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 10 9 8 8 9 9 9 9 9 8 8 8 9 8 8 8 9 9 10 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 6 7 7 8 9 10 10 9 9 9 10 10 9 9 9 9 8 8 8 8 7 8 8 8 8 9 9 9 nan
nan 7 7 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 10 11 11 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 13 13 13 13 12 12 12 11 11 12 13 12 11 9 8 8 8 9 9 9 9 9 9 9 8 8 7 6 7 8 9 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 10 9 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 7 6 5 6 6 6 7 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 7 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 10 9 8 9 10 11 11 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 10 11 10 10 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 8 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 6 6 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 10 8 8 8 10 12 11 10 10 9 9 10 10 9 8 7 6 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 10 11 11 10 9 9 9 9 9 8 8 8 9 10 10 11 11 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 6 6 7 nan
nan 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 11 9 7 7 9 11 11 10 9 7 7 7 8 9 8 7 7 7 7 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 7 8 10 10 10 9 8 7 8 9 9 8 7 6 7 8 9 10 11 11 11 10 10 11 11 11 10 9 8 8 9 10 11 11 11 10 9 9 9 10 10 11 11 10 9 9 9 11 12 12 12 11 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 7 6 6 6 7 8 8 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 11 12 13 12 9 8 9 10 11 11 9 7 5 6 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 11 11 9 8 7 8 9 10 10 9 7 7 7 9 10 11 11 11 10 10 10 11 11 11 10 8 8 9 10 11 11 11 11 11 11 10 11 12 13 13 12 10 9 10 12 13 13 13 12 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 8 7 7 7 8 8 9 9 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 11 10 8 8 9 10 10 8 7 7 9 10 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 12 12 11 10 9 9 10 11 12 12 11 9 8 9 10 11 11 10 10 9 9 9 10 10 10 9 8 8 9 10 9 9 9 10 10 9 9 11 12 12 11 9 8 8 9 10 11 12 11 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 9 9 8 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 7 6 7 9 10 9 9 9 10 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 11 11 11 11 10 9 9 10 10 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 7 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 8 8 9 9 9 9 10 9 9 nan
nan 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 7 6 6 8 9 9 8 8 9 10 11 12 13 13 12 11 10 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 7 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 nan
nan 9 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 10 8 7 7 9 9 8 7 7 7 8 9 11 12 14 14 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 4 5 6 7 7 8 7 7 7 8 8 8 7 6 6 6 6 6 7 8 8 9 9 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 7 7 8 8 9 9 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 8 9 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 10 10 10 10 11 12 12 10 9 8 9 9 9 8 8 8 8 8 9 10 12 12 12 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 6 7 8 8 8 8 7 7 8 8 8 7 7 7 7 6 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 6 6 6 7 8 8 9 nan
nan 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 12 13 14 13 11 10 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 8 7 6 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 8 8 7 8 9 9 9 9 8 8 8 8 9 9 10 9 7 6 6 6 6 6 7 8 8 8 nan
nan 10 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 13 14 14 14 12 12 11 11 11 11 11 11 10 9 9 8 7 8 8 7 7 8 9 10 10 11 11 10 10 9 9 9 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 7 6 7 8 8 8 8 8 8 7 7 6 6 6 5 5 5 6 6 6 6 7 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 nan
nan 11 11 11 10 10 10 10 11 10 10 9 9 8 8 8 9 10 10 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 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 14 14 14 14 13 12 12 12 12 12 11 10 9 8 8 8 8 8 7 7 8 9 10 10 11 11 10 10 9 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 6 7 7 7 7 6 7 7 8 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 7 5 6 8 8 8 8 nan
nan 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 11 10 10 10 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 9 9 8 8 8 9 8 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 8 9 9 8 8 nan
nan 11 10 10 9 9 8 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 9 8 8 7 7 7 7 8 8 7 7 8 9 9 10 10 10 10 8 7 6 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 9 8 8 nan
nan 10 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 8 8 8 9 10 10 11 11 11 10 9 9 10 10 10 10 9 9 9 8 7 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 9 9 8 8 9 9 10 10 10 10 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 9 8 7 nan
nan 9 9 9 9 10 10 9 8 8 7 7 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 6 7 7 8 8 8 7 6 6 5 6 7 8 9 9 9 9 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 10 11 11 10 10 10 11 10 10 11 11 12 12 12 12 10 8 7 nan
nan 10 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 8 7 6 6 6 6 7 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 8 8 nan
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nan 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 8 10 12 14 15 15 15 15 14 14 14 14 13 12 11 10 10 11 11 12 12 13 13 14 15 15 14 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 12 13 14 15 15 15 14 13 12 11 10 9 7 6 5 4 4 4 5 4 4 7 12 14 14 12 9 9 9 9 9 9 9 9 9 10 11 12 11 11 10 10 10 9 8 8 8 8 8 10 11 13 15 16 17 18 18 15 9 4 1 0 1 2 1 2 3 4 6 8 8 7 7 7 8 8 9 9 10 11 11 nan
nan 9 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 6 7 8 11 15 16 16 16 16 15 14 14 13 12 11 10 10 10 11 11 11 11 12 12 12 12 13 13 13 11 11 10 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 10 11 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 14 15 15 14 14 13 12 12 10 9 8 6 5 3 3 4 4 4 4 5 9 13 15 13 9 8 8 9 9 9 9 8 8 9 10 11 11 11 11 10 10 9 9 9 9 8 8 9 12 14 15 15 15 15 14 11 7 4 3 3 3 1 -0 -1 0 3 6 7 7 8 8 8 8 9 9 10 11 11 11 nan
nan 9 9 9 8 7 7 7 7 7 8 8 9 9 8 7 6 6 7 9 13 16 17 17 17 17 16 14 13 12 11 10 9 9 9 9 10 10 10 9 9 9 10 10 11 11 10 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 12 13 13 14 14 14 13 13 12 12 11 10 8 7 5 3 2 3 3 4 4 5 8 12 15 14 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 9 10 11 11 9 8 10 13 15 16 16 14 13 11 9 7 5 5 5 4 2 -0 -1 0 3 6 7 8 9 9 9 9 9 10 10 11 11 11 nan
nan 9 9 8 8 7 6 6 6 7 8 9 9 8 7 6 6 7 9 11 13 16 17 17 17 17 16 14 13 12 11 10 9 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 12 12 11 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 10 11 12 13 13 12 12 12 12 12 12 11 10 9 8 6 4 2 2 2 3 3 4 7 10 13 13 11 9 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 12 11 10 9 11 13 15 18 17 15 12 9 8 7 6 6 6 5 3 2 1 2 4 6 8 9 10 9 9 9 9 10 10 10 10 10 nan
nan 9 8 8 7 7 6 6 6 7 9 10 9 7 6 7 8 10 11 13 14 14 15 16 16 16 15 14 13 12 11 10 9 8 7 7 7 7 6 6 6 6 7 8 9 9 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 12 13 14 14 14 13 12 11 10 10 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 10 9 7 5 3 2 2 2 3 3 5 8 10 12 11 9 8 7 7 7 8 9 9 9 9 8 8 9 9 10 9 9 10 11 10 10 10 11 12 13 15 15 13 11 9 8 7 7 7 7 7 6 5 4 3 3 6 8 10 10 9 8 8 8 9 9 9 9 9 nan
nan 8 8 8 7 7 7 7 7 8 9 8 7 7 7 9 12 13 13 13 13 13 14 14 14 13 13 13 13 12 12 11 10 9 8 7 7 6 6 5 5 5 7 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 13 13 12 12 11 10 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 12 12 12 11 10 10 9 9 10 11 11 11 11 10 9 6 4 3 2 2 2 3 3 5 7 9 10 9 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 8 9 9 6 3 2 4 7 9 10 9 9 9 8 8 6 5 5 7 nan
nan 9 9 8 8 7 7 7 8 8 8 7 7 8 9 11 13 14 13 13 12 12 12 12 11 11 11 12 13 13 12 11 10 9 8 8 7 7 6 5 5 6 7 8 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 9 8 9 9 10 10 11 10 10 9 9 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 11 12 13 13 12 10 9 9 9 9 10 11 11 12 12 12 11 8 6 4 2 2 3 3 3 3 5 7 9 9 8 8 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 9 8 6 6 7 7 8 8 8 8 7 8 9 11 10 8 5 4 6 8 10 11 10 9 8 7 6 3 1 2 4 nan
nan 9 9 8 7 7 7 7 8 8 8 8 9 10 11 12 12 12 11 11 11 11 11 10 10 10 11 12 13 13 13 12 10 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 10 10 11 12 12 12 13 12 12 11 9 8 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 8 8 8 7 8 8 9 10 10 10 10 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 14 15 15 13 11 10 9 9 10 10 11 12 13 14 14 13 10 8 5 3 3 3 3 3 3 5 7 8 9 9 8 8 8 8 8 8 8 7 7 8 9 9 10 10 9 9 8 9 10 10 10 8 6 5 4 5 6 7 7 7 7 8 9 10 12 13 13 12 10 9 10 12 13 11 8 6 4 4 3 2 3 5 nan
nan 9 8 7 7 6 6 6 7 8 9 10 11 12 12 12 11 10 10 10 10 9 9 9 9 10 11 13 14 14 13 11 10 9 9 9 11 11 11 10 9 8 8 9 9 9 9 9 9 10 11 12 12 12 12 12 11 10 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 13 15 16 15 14 12 11 11 10 10 10 11 13 14 15 15 14 12 10 7 4 4 4 4 4 5 6 7 8 8 8 8 8 8 8 9 9 8 7 7 8 9 9 10 9 9 8 9 9 10 10 8 7 5 4 4 5 5 6 6 7 8 9 10 12 14 16 18 18 15 13 12 14 15 13 9 5 3 3 4 5 6 8 nan
nan 8 7 7 6 6 6 6 7 9 11 12 13 13 13 12 11 10 10 9 9 8 8 8 8 9 10 12 13 13 13 11 10 10 10 11 13 13 12 11 9 8 8 8 9 9 9 9 9 10 10 11 11 12 12 12 11 10 9 8 8 8 8 8 7 6 5 5 4 5 6 8 9 9 9 9 9 9 8 8 9 9 11 12 12 13 13 12 12 13 13 13 13 13 12 12 11 10 9 8 7 9 12 15 16 16 14 13 13 13 13 12 11 10 9 10 12 13 14 14 13 11 9 7 6 6 5 6 7 8 7 7 6 6 7 8 8 9 9 10 9 8 8 8 9 9 9 8 8 9 9 10 9 8 7 6 5 4 4 4 5 5 6 7 9 11 12 14 16 19 22 21 19 16 13 13 13 13 10 8 6 6 7 8 8 10 nan
nan 8 8 7 7 7 7 7 9 11 12 14 14 14 13 13 12 11 10 9 9 8 9 9 8 9 10 11 12 12 12 11 11 10 11 13 13 13 12 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 11 11 10 9 8 8 8 8 7 6 5 4 4 5 7 8 9 9 9 9 9 9 8 9 9 10 12 13 14 14 14 14 14 14 14 15 14 14 13 13 11 8 7 6 7 10 14 15 15 14 12 12 13 14 14 13 12 10 8 9 10 11 13 12 11 11 11 11 10 9 8 8 9 9 8 7 6 6 7 7 8 9 10 11 10 10 9 9 9 9 9 8 8 9 9 9 8 8 8 7 6 4 4 4 4 5 7 9 11 13 14 15 17 20 22 22 21 17 14 12 11 10 10 10 10 10 11 11 11 11 nan
nan 8 9 9 10 9 9 9 10 12 13 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 12 13 12 11 10 9 9 9 9 10 10 10 10 11 10 10 9 9 10 11 12 12 12 12 12 11 9 8 8 7 6 5 4 4 5 7 8 9 9 9 9 9 9 9 8 9 9 11 13 14 14 14 13 13 14 14 15 14 14 14 14 12 10 8 6 6 8 13 16 17 16 14 12 12 13 14 14 13 13 11 10 10 11 13 13 10 8 9 11 12 12 11 10 10 10 10 10 9 9 9 8 7 7 9 11 11 11 10 9 10 10 9 9 9 9 9 9 8 8 8 7 6 4 2 2 4 6 8 10 12 13 14 14 16 18 20 20 19 18 16 14 12 11 10 11 12 13 14 15 15 14 13 nan
nan 10 11 11 12 11 11 11 11 12 13 14 13 13 12 11 10 10 9 9 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 11 10 10 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 10 9 7 6 5 5 5 7 9 9 10 9 9 9 9 9 9 9 9 10 12 13 14 13 12 11 11 12 13 13 12 11 12 12 11 9 7 6 7 10 14 17 18 18 16 14 14 13 12 11 11 11 10 10 11 12 13 11 8 7 8 10 11 12 12 12 12 12 12 12 13 12 12 11 10 10 11 11 10 9 9 9 9 9 8 8 8 9 9 8 8 6 4 3 2 0 1 3 6 9 11 13 14 14 15 15 17 18 19 17 13 10 9 9 10 11 11 12 13 15 17 18 17 16 14 nan
nan 12 12 12 12 12 12 12 12 12 13 12 11 10 9 9 9 9 9 10 10 10 11 11 11 11 12 13 13 13 13 12 12 11 11 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 11 10 8 7 7 8 9 10 11 11 10 10 10 10 10 10 10 10 11 12 13 14 13 11 9 8 10 11 12 11 9 8 9 9 10 9 7 7 8 11 13 14 15 16 17 17 16 14 12 9 8 7 8 9 11 11 11 9 8 7 7 8 10 10 11 12 12 12 13 13 13 13 13 14 15 16 15 13 11 9 7 8 8 8 8 8 8 8 8 6 4 2 0 0 0 1 4 7 11 13 14 14 15 15 16 18 20 21 19 15 10 5 4 4 6 9 11 12 14 16 19 20 18 17 15 nan
nan 12 12 12 11 11 11 12 12 12 12 11 9 9 8 8 9 9 10 11 11 12 12 12 12 12 13 13 13 13 13 13 12 11 10 9 9 9 10 10 12 13 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 13 13 12 11 10 9 8 9 10 11 12 13 12 11 10 10 10 10 11 11 11 12 13 14 15 14 12 8 6 7 8 10 10 10 8 7 7 8 9 10 9 9 11 12 12 13 13 14 16 18 17 16 12 10 8 8 9 10 11 11 10 9 8 8 7 7 8 8 9 10 12 12 12 12 11 12 13 14 16 18 17 16 14 11 8 8 8 8 8 7 6 5 4 2 0 -0 1 3 5 8 10 12 14 15 15 16 17 18 20 22 24 25 23 19 13 9 7 7 8 10 11 13 15 17 19 19 18 16 13 nan
nan 12 11 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 11 12 12 13 13 13 13 12 12 12 13 13 14 13 12 11 10 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 11 12 13 13 12 11 10 10 10 10 10 11 11 12 12 13 14 14 13 10 7 5 6 7 8 9 8 7 7 7 8 9 10 11 12 13 12 12 12 13 14 16 17 17 16 14 12 12 13 14 14 13 12 11 9 8 8 7 6 6 6 7 9 11 11 10 9 9 10 12 14 15 15 16 16 16 13 11 10 9 8 6 4 2 1 0 -0 1 3 7 10 13 14 15 15 16 17 18 19 20 22 23 24 24 24 24 21 18 16 14 13 14 14 15 16 18 19 19 17 15 13 11 nan
nan 10 9 9 9 9 9 9 10 9 9 9 9 10 11 11 11 11 12 13 13 14 14 14 13 12 12 12 12 14 14 13 12 11 10 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 9 9 8 8 8 9 11 12 12 11 10 10 9 9 10 10 11 10 10 10 11 12 12 13 12 11 9 8 7 7 7 7 7 7 7 8 9 9 10 11 13 13 11 11 11 12 13 14 15 15 14 13 13 14 15 15 14 13 11 10 9 8 7 6 5 4 5 6 8 10 9 7 7 8 10 12 13 12 12 12 13 14 13 12 11 10 6 3 1 0 1 2 4 7 12 16 18 19 18 18 18 20 21 22 22 23 23 22 20 19 18 17 16 16 15 15 16 17 18 20 21 21 19 16 13 11 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 13 13 13 14 13 13 12 12 12 12 13 13 13 12 11 10 9 9 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 11 11 11 11 10 9 9 9 9 10 11 11 10 9 9 9 9 10 11 12 12 11 11 9 8 7 7 7 8 9 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 10 9 8 7 6 6 6 6 6 7 9 9 7 6 7 9 11 12 12 11 10 9 10 11 12 12 13 10 6 4 3 4 5 8 12 16 20 22 22 20 18 18 20 21 22 21 20 19 18 16 14 13 12 11 10 10 13 15 17 19 21 23 24 20 15 12 9 10 11 12 nan
nan 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 13 12 12 11 9 8 7 7 7 8 8 7 8 8 8 9 10 11 12 11 10 9 8 8 9 10 11 11 10 10 9 8 8 8 9 10 11 11 12 12 10 8 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 7 6 6 6 7 8 8 9 9 8 8 7 9 11 13 13 12 10 9 10 10 12 13 14 15 13 10 9 9 10 12 15 18 21 22 21 18 15 14 14 15 16 15 14 13 12 11 10 10 10 10 10 10 12 14 16 18 19 20 21 20 15 11 9 9 12 13 14 nan
nan 10 9 9 9 9 10 10 10 11 11 11 12 12 13 13 12 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 10 10 9 8 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 7 7 7 8 10 12 11 10 9 9 9 8 8 8 9 9 10 11 12 11 9 9 9 10 11 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 10 9 7 7 7 7 7 8 8 9 9 9 8 8 9 10 12 12 12 11 10 10 11 12 13 14 14 14 13 12 12 12 13 14 16 18 18 17 14 11 9 10 11 12 12 11 10 10 10 10 10 11 12 12 12 13 15 16 17 17 17 17 16 14 11 10 10 11 12 13 14 nan
nan 10 10 9 9 10 10 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 10 11 11 11 12 12 12 11 11 11 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 8 6 6 6 8 10 11 12 10 9 8 8 8 8 8 7 8 8 9 10 12 11 11 10 10 10 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 13 13 13 12 12 12 12 13 15 15 15 15 14 14 13 13 14 15 15 14 13 13 14 14 14 14 14 13 13 12 11 10 10 11 11 12 12 nan
nan 10 9 9 10 10 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 9 7 5 5 7 9 11 12 11 9 8 8 7 8 7 7 7 7 8 9 11 13 13 12 12 11 10 10 11 11 12 12 12 12 12 11 11 10 9 10 10 10 10 11 11 12 12 12 12 11 10 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 12 12 13 14 16 17 18 19 18 18 17 16 16 15 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 nan
nan 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 11 12 12 12 11 8 7 7 9 11 12 11 10 8 8 7 8 8 8 7 6 6 7 10 12 14 15 14 13 11 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 12 12 13 14 15 16 16 16 16 15 15 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 10 10 10 nan
nan 9 9 10 11 12 13 13 12 11 11 11 11 12 12 11 10 9 8 8 8 9 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 12 13 14 14 14 12 11 10 9 10 11 12 10 9 8 7 8 8 8 8 8 7 7 8 11 13 16 16 15 12 11 10 11 11 11 10 10 11 11 12 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 8 7 6 6 7 7 8 9 10 9 9 9 8 8 9 10 10 9 7 6 6 7 9 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 12 13 13 12 11 10 10 10 11 12 12 12 11 10 8 8 8 8 9 10 10 11 11 11 10 10 11 12 12 13 12 12 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 12 14 15 15 14 12 11 10 9 10 11 11 10 9 8 7 8 9 9 9 9 9 9 10 12 14 15 15 12 10 10 12 13 14 13 12 11 11 11 11 11 10 9 9 9 10 11 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 8 6 5 5 5 5 5 6 7 8 7 6 6 6 7 8 8 7 3 1 3 7 11 14 14 13 13 12 12 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 nan
nan 10 11 12 12 12 11 9 9 10 11 12 13 13 13 11 10 9 8 8 8 9 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 10 9 8 8 7 7 8 8 8 8 9 9 9 10 11 11 11 10 11 13 14 14 13 12 10 9 9 10 11 10 9 8 8 8 9 10 10 10 11 11 11 12 13 14 15 13 11 9 10 12 15 16 15 14 14 13 13 12 11 10 9 9 9 10 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 9 8 8 8 6 4 2 3 3 4 3 2 2 3 5 5 5 2 -1 0 5 11 16 16 14 13 12 11 11 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 10 10 11 11 10 11 12 13 14 nan
nan 10 11 11 11 10 9 9 9 11 12 14 14 14 13 11 10 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 13 14 15 13 11 9 9 8 8 9 10 10 9 9 9 9 10 11 12 12 11 12 13 14 14 13 12 10 9 9 10 11 11 10 8 8 10 11 11 10 9 9 10 12 13 14 15 15 14 12 11 11 12 13 13 14 14 14 15 15 14 12 11 9 9 10 11 12 12 12 12 13 13 12 11 11 10 10 9 9 8 8 8 9 9 10 11 11 12 10 7 4 3 2 2 2 2 3 4 5 4 3 1 1 6 12 18 20 17 14 12 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 12 13 nan
nan 9 10 10 10 10 9 10 11 13 14 14 14 14 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 14 15 15 13 11 10 10 11 12 12 11 10 10 9 10 10 11 12 12 12 13 14 15 14 14 12 11 10 10 11 11 11 10 9 9 10 11 10 8 6 6 7 9 11 12 14 16 17 17 17 15 12 10 9 10 11 12 13 14 13 12 11 10 10 10 11 11 11 11 12 12 12 12 12 12 11 9 8 7 6 6 7 8 9 11 12 13 13 12 9 7 6 5 6 6 7 8 8 8 8 7 6 10 15 20 22 20 16 13 11 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 11 12 nan
nan 9 10 10 11 11 11 12 13 13 14 14 14 13 12 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 11 13 14 14 13 12 12 12 13 13 13 13 12 11 10 11 11 11 11 12 13 14 16 16 16 15 13 12 11 12 12 12 11 10 9 9 10 10 10 8 6 5 5 6 7 7 9 13 17 20 20 17 13 9 7 6 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 10 7 6 5 5 6 7 8 9 10 11 12 11 10 8 8 8 9 9 9 10 10 10 11 11 12 14 17 20 22 20 17 14 12 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 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
CAPE
0 0 2 8 15 27 77 116 100 38 0 0 0 1 3 15 44 79 95 107 123 156 250 511 1064 1943 2947 3653 3883 3807 3661 3574 3509 3442 3428 3457 3489 3514 3531 3538 3547 3549 3520 3465 3408 3360 3319 3288 3275 3265 3236 3172 3077 2963 2840 2708 2621 2553 2484 2385 2182 1776 1124 573 267 112 44 17 5 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 25 55 138 261 459 688 859 905 843 677 451 291 201 148 126 144 132 86 42 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 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 1 0 0 0 0 0 0 0 0 0 2 11 32 56 72 81 86 94 147 337 806 1786 2834 3540 3859 3909 3833 3718 3608 3556 3571 3613 3647 3664 3665 3623 3585 3538 3485 3434 3392 3358 3331 3305 3266 3205 3124 3027 2917 2802 2694 2622 2568 2462 2256 1893 1344 708 344 152 60 21 6 0 0 0 0 0 1 3 5 5 4 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 1 9 43 95 186 308 424 489 497 425 337 265 197 140 137 117 54 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 1 1 1 1 2 2 3 3 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 18 41 33 13 14 26 36 42 46 52 65 113 283 839 1713 2622 3376 3845 3992 3885 3716 3642 3690 3770 3814 3810 3775 3699 3628 3569 3511 3458 3415 3382 3355 3307 3238 3149 3051 2947 2841 2736 2648 2586 2510 2316 1940 1402 819 373 166 74 34 14 4 0 0 0 0 0 2 7 12 13 14 4 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 1 2 8 25 58 102 148 182 193 165 130 80 37 30 30 12 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 2 2 0 1 0 0 0 0 1 2 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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