Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 8 9 9 9 9 8 8 8 9 9 8 8 7 7 7 8 9 10 10 9 9 8 7 6 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 4 4 5 6 8 10 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 7 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 10 11 12 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 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 11 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 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 nan
nan 5 6 7 8 8 8 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 9 12 16 18 18 14 12 10 9 9 8 8 7 6 6 7 8 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 9 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 10 10 10 10 9 9 9 9 9 9 8 7 6 7 11 16 20 22 19 15 11 9 8 8 7 7 7 7 7 8 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 12 12 12 11 10 10 10 11 10 10 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 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 6 6 6 7 8 8 8 8 8 8 8 10 12 13 14 13 12 11 11 10 9 9 9 9 9 8 9 10 10 10 10 10 9 9 9 10 10 9 8 8 10 14 18 21 20 16 12 10 9 8 7 8 8 8 9 9 10 11 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 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 nan
nan 8 7 6 7 7 7 7 8 8 9 11 15 19 22 23 22 19 16 14 11 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 11 14 16 18 18 15 11 9 8 8 8 8 8 9 10 10 11 12 12 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 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 12 12 11 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 9 7 7 7 6 6 6 7 10 13 16 21 25 29 30 30 28 24 18 14 11 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 12 14 15 13 10 7 6 6 7 7 8 9 9 10 11 12 13 13 14 13 13 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 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 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 nan
nan 10 9 8 7 6 6 5 7 11 15 18 22 24 26 28 29 29 26 22 17 13 10 9 8 8 7 7 7 7 7 8 7 7 7 6 6 4 3 2 4 5 7 9 7 6 5 4 4 4 5 6 8 9 10 11 13 14 14 14 13 12 13 13 13 13 13 11 10 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 12 10 9 7 5 5 6 8 11 15 17 18 17 17 18 19 21 22 21 18 16 13 11 10 9 8 8 8 9 10 10 10 9 7 6 5 3 1 -1 -1 -1 1 3 4 4 4 3 3 4 5 6 8 9 11 12 13 14 14 13 13 12 12 12 13 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 nan
nan 14 11 8 5 3 4 6 9 13 16 16 15 13 11 10 11 13 15 17 18 18 17 15 13 11 10 9 10 11 13 14 14 13 10 8 6 4 2 0 -1 -1 0 2 3 4 5 5 5 5 6 8 9 11 12 13 13 13 13 13 12 11 11 11 11 13 14 14 13 11 10 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 10 9 8 8 8 9 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 12 9 6 3 2 4 7 12 16 17 16 15 12 10 9 9 10 12 14 16 17 18 17 15 13 12 11 12 13 14 15 16 15 13 11 9 7 5 3 3 3 4 5 6 7 7 7 7 8 9 10 12 13 13 13 13 12 12 12 12 11 10 10 10 11 13 14 14 13 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 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 10 10 10 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 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 nan
nan 8 5 3 2 3 5 8 13 17 18 16 14 12 11 10 10 10 12 13 15 16 17 17 16 15 13 13 12 12 13 14 14 15 14 13 12 10 9 7 7 7 8 9 10 10 10 11 11 11 12 12 13 12 12 11 10 10 10 11 11 11 10 10 9 10 12 13 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 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 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 4 2 2 2 3 5 7 10 13 14 14 12 11 11 10 10 10 11 12 13 14 14 14 14 13 13 12 13 13 13 13 13 14 14 13 13 12 11 10 10 11 12 13 13 14 14 13 14 13 13 13 12 11 10 9 8 8 9 9 10 10 10 9 9 10 11 12 13 13 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 9 9 8 8 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 nan
nan 3 2 2 2 3 5 6 7 8 9 11 11 11 10 9 9 10 10 11 12 12 12 11 10 10 10 12 14 16 18 18 16 15 14 13 13 12 12 12 12 14 15 16 16 16 16 15 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 nan
nan 5 5 5 5 5 6 7 7 9 11 14 14 13 11 10 9 10 11 11 12 12 12 11 10 10 11 12 15 17 19 20 18 16 15 13 13 12 12 13 14 15 16 17 17 16 15 14 13 12 11 10 8 7 6 7 8 10 11 12 11 9 7 7 8 9 10 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 11 15 18 21 20 17 13 11 10 10 11 12 13 14 15 15 15 15 16 16 15 13 12 13 14 15 15 14 13 13 13 14 16 17 17 16 15 13 12 11 10 10 9 8 7 6 5 7 9 12 15 17 15 10 7 6 7 9 9 10 10 11 12 12 13 13 13 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 8 8 8 8 7 8 nan
nan 11 11 11 11 11 11 11 15 19 23 24 22 18 13 10 8 8 9 11 13 15 17 17 17 18 18 17 14 10 7 7 11 14 15 16 15 15 16 18 19 18 17 14 12 9 8 8 8 9 9 8 7 5 5 7 10 14 17 19 17 12 8 7 7 8 9 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 9 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 13 12 12 11 10 10 9 10 10 10 11 11 12 11 11 10 10 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 nan
nan 12 11 11 11 11 12 13 16 19 22 22 20 14 9 7 6 6 7 9 11 13 15 15 14 14 13 13 12 11 12 13 15 16 16 16 16 17 19 20 20 18 15 12 9 7 7 7 8 8 9 8 6 5 5 7 10 13 16 18 17 13 10 8 7 8 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 9 10 10 11 11 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 6 6 6 6 6 6 7 7 8 7 7 6 nan
nan 10 9 9 9 10 10 11 13 16 19 20 18 13 9 6 6 6 6 7 9 10 11 11 10 9 8 7 10 15 19 21 20 17 15 14 15 17 18 18 18 16 13 10 8 7 7 7 8 8 8 7 5 4 4 5 8 11 14 16 16 14 11 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 11 11 12 12 12 12 11 11 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 6 6 6 6 6 6 6 6 7 9 10 10 10 10 nan
nan 6 6 7 7 7 7 8 10 14 18 20 19 15 11 8 7 7 6 7 7 8 9 9 8 7 6 7 11 17 20 19 15 11 10 11 13 14 15 16 15 13 11 9 8 7 7 7 8 8 9 7 5 4 4 4 6 9 12 14 16 15 13 11 9 8 8 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 10 10 11 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 9 10 12 13 14 14 nan
nan 5 4 4 5 5 5 6 9 13 18 21 19 15 12 10 9 9 8 7 7 8 8 8 8 8 9 11 15 17 14 9 4 1 3 8 10 12 13 13 12 11 9 8 7 7 6 7 8 9 9 8 6 4 4 4 5 8 11 14 16 16 15 13 11 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 11 12 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 6 5 4 5 6 7 8 9 10 11 11 10 10 11 12 13 13 14 nan
nan 6 5 5 5 5 5 6 9 13 18 20 18 15 13 11 10 10 9 8 8 8 7 7 7 8 11 14 16 15 10 4 -1 -3 0 5 8 9 10 11 11 10 8 7 7 6 6 7 8 9 10 9 8 6 4 4 5 7 11 15 17 17 16 14 12 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 7 6 6 5 6 7 8 9 11 13 13 11 10 10 10 11 11 11 11 nan
nan 8 8 7 7 8 8 8 10 13 17 18 17 15 13 12 11 10 9 9 9 8 8 7 6 7 9 12 14 13 10 5 1 -0 2 5 7 8 9 10 9 8 7 6 6 6 7 7 8 9 10 10 9 7 5 5 6 9 14 17 18 18 16 14 12 11 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 11 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 7 8 8 8 9 9 10 12 13 13 11 10 9 10 10 10 8 7 nan
nan 9 8 7 7 8 9 11 13 15 15 16 16 15 14 13 11 10 9 9 9 10 9 8 6 5 7 10 12 13 12 8 4 3 4 6 7 8 9 9 9 8 7 6 6 7 7 7 8 9 9 10 9 9 8 9 12 15 18 20 20 18 16 13 11 11 11 10 10 10 10 11 12 13 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 10 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 6 5 5 6 8 9 10 10 10 10 11 11 11 11 11 10 9 8 8 7 6 6 nan
nan 7 6 6 6 7 9 12 14 14 14 13 14 14 14 13 12 10 9 8 9 10 10 8 5 5 7 11 13 13 11 8 5 4 5 6 7 8 9 9 8 8 7 7 8 8 8 8 9 9 8 8 9 10 12 14 17 19 21 20 19 16 14 12 11 11 10 10 9 8 8 9 11 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 9 8 7 6 6 6 7 7 8 8 7 7 8 8 9 9 10 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 6 6 7 9 10 10 10 10 11 11 11 11 11 11 10 9 7 6 6 6 7 nan
nan 7 7 6 7 8 9 11 12 11 10 10 11 12 13 13 11 10 9 8 8 8 6 4 3 6 10 14 14 12 9 6 4 5 5 6 7 9 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 8 12 16 18 18 18 17 15 14 12 11 10 10 10 9 8 7 7 8 9 10 11 11 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 7 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 12 12 11 10 9 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 8 nan
nan 9 8 9 10 10 10 11 10 8 7 8 9 10 11 11 11 10 10 8 6 4 1 0 4 9 14 16 14 11 8 5 5 5 6 6 7 8 10 12 12 12 11 11 11 10 9 9 9 8 7 5 4 5 9 12 14 14 14 13 12 11 11 10 10 10 10 10 8 7 7 7 7 8 9 10 10 9 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 8 9 10 10 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 10 10 11 11 12 12 12 12 12 11 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 11 10 10 10 9 9 9 8 nan
nan 9 9 9 9 10 10 11 11 8 7 6 7 8 9 9 9 9 9 7 4 0 -2 2 10 14 16 16 14 11 9 7 7 7 7 7 6 8 10 12 13 13 12 12 11 10 9 9 9 8 8 6 5 6 7 9 11 11 10 10 10 10 10 9 9 9 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 9 10 11 11 11 10 10 10 10 9 9 8 8 9 9 10 11 11 11 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 9 8 nan
nan 9 8 7 6 6 7 11 14 13 11 8 6 6 6 7 7 8 8 6 2 -1 0 7 14 16 16 15 14 12 11 10 10 9 9 8 7 8 10 12 13 13 12 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 9 8 8 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 6 5 5 5 6 7 7 7 7 8 9 10 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 8 9 9 10 10 11 11 11 12 12 12 12 12 11 10 9 9 10 10 10 11 11 11 11 10 9 9 nan
nan 8 8 7 6 6 7 11 16 18 17 13 8 6 4 4 4 5 6 5 2 1 3 8 13 15 14 13 13 12 12 12 11 11 10 9 9 10 10 11 12 12 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 9 9 10 10 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 10 11 10 10 10 9 9 8 8 8 9 10 9 9 9 8 8 8 8 7 6 5 5 5 6 7 8 8 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 10 10 9 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 9 10 10 11 11 11 10 10 nan
nan 8 9 11 12 13 13 15 19 21 21 17 11 5 2 0 2 4 6 7 5 4 5 8 10 12 12 11 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 11 12 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 8 10 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 5 5 6 7 8 9 10 10 10 10 8 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 9 9 10 10 9 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 9 10 10 10 10 9 10 11 12 11 10 9 8 8 8 8 8 8 9 10 10 10 10 10 nan
nan 8 11 16 19 21 21 20 21 21 21 18 11 5 -0 -2 -0 4 8 11 11 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 10 10 10 9 9 9 10 10 11 12 13 13 12 11 10 10 9 9 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 11 11 10 9 8 7 7 8 8 8 8 7 8 8 9 9 9 9 8 8 7 6 5 5 5 6 7 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 6 10 17 23 23 22 20 20 19 18 15 10 4 -0 -2 -1 4 10 14 16 15 13 12 11 11 12 12 13 12 11 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 9 9 9 9 10 11 12 13 13 13 12 11 11 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 8 7 7 7 8 9 9 8 7 7 8 9 10 9 9 8 8 7 7 6 6 6 6 6 7 7 6 7 7 8 9 9 10 10 10 10 9 9 9 10 10 10 10 11 12 12 13 13 12 12 11 11 10 10 11 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 11 12 13 12 11 10 10 10 10 10 10 10 10 9 9 9 10 nan
nan 6 8 13 18 19 17 16 15 15 14 13 9 4 1 0 1 5 10 14 16 16 15 14 13 13 13 13 13 12 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 10 9 8 8 8 9 10 10 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 10 9 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 10 10 9 8 8 9 10 10 9 9 8 7 7 8 8 8 9 8 7 7 6 7 7 9 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 11 nan
nan 6 7 9 11 12 12 11 11 11 11 11 10 7 6 5 5 7 10 13 14 15 15 15 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 11 11 9 9 8 9 9 10 10 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 8 8 8 8 8 9 10 11 11 11 11 9 9 10 10 10 9 8 8 8 7 8 9 10 11 10 8 7 7 8 9 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 nan
nan 8 8 8 9 9 9 9 9 9 10 11 11 11 10 10 10 10 11 12 12 13 14 15 15 15 14 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 12 12 12 12 12 13 12 12 11 10 9 9 9 9 9 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 9 8 8 8 9 9 9 10 10 11 11 12 12 11 10 9 9 9 8 7 7 8 8 9 9 11 11 11 9 8 8 9 10 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 nan
nan 12 14 15 14 12 11 10 10 11 12 14 14 15 15 14 14 12 12 11 12 12 14 15 16 16 15 15 14 14 14 14 14 13 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 12 11 11 10 10 10 10 10 10 10 9 9 10 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 11 10 9 9 10 11 12 12 11 10 8 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 10 10 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 20 22 21 19 16 15 14 15 16 16 17 17 17 16 15 14 12 12 12 12 13 15 16 16 16 16 16 16 16 16 15 13 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 8 8 7 7 8 9 11 12 11 10 9 8 10 12 13 12 10 8 7 8 9 9 10 11 11 12 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 14 19 22 22 21 19 17 17 16 16 15 15 15 15 15 15 14 14 13 13 12 12 13 14 15 15 15 16 16 16 16 15 14 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 7 7 6 7 9 10 11 11 10 9 9 10 12 12 12 11 9 8 9 10 10 11 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 9 9 8 8 9 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
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nan 10 10 10 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 11 12 12 13 13 13 14 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 11 10 9 9 9 10 10 10 10 10 10 11 11 13 15 17 18 18 17 16 16 18 18 17 14 10 7 6 7 8 9 10 11 11 12 15 18 22 22 16 8 2 -3 -3 0 5 9 10 11 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 nan
nan 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 12 10 9 9 9 9 10 10 10 10 10 11 11 13 15 16 17 17 16 15 15 16 16 15 12 9 8 8 9 10 10 11 11 11 12 15 18 22 24 19 11 5 -3 -6 -2 3 8 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 13 13 13 12 11 11 11 11 12 12 12 13 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 14 13 13 13 12 11 10 9 9 9 10 11 11 11 11 12 12 13 13 13 13 13 14 15 15 15 14 12 10 9 9 10 11 11 11 11 12 12 12 14 16 20 22 21 15 9 -1 -6 -3 1 7 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 6 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 14 15 15 14 14 14 14 14 14 14 14 13 13 13 12 11 11 11 11 11 12 12 13 13 13 13 13 12 10 10 10 11 14 16 16 15 13 10 8 8 9 10 11 12 12 12 12 12 12 12 14 18 21 21 17 11 1 -4 -1 2 8 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 10 5 3 5 7 9 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 10 10 11 11 11 10 10 10 11 12 12 13 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 14 14 15 15 15 15 15 15 15 14 14 14 13 13 12 11 11 11 12 12 13 14 15 15 15 16 16 16 14 11 10 9 12 15 16 16 14 11 8 6 8 9 10 11 12 13 13 12 11 11 11 14 18 21 22 17 8 -0 -3 1 5 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 15 13 10 7 7 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 11 12 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 12 13 14 15 15 15 15 15 15 15 15 14 14 13 13 12 11 11 11 11 11 12 14 16 17 17 18 18 18 18 16 13 11 10 12 15 16 16 13 8 5 4 6 7 9 11 12 13 12 12 11 10 11 15 19 23 24 18 7 -1 -1 2 6 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 11 11 11 12 14 14 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 11 10 9 9 9 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 9 10 11 11 10 11 11 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 10 10 11 11 12 13 14 15 16 16 16 15 15 15 14 13 13 12 12 11 10 10 10 10 10 11 13 15 17 18 19 18 18 17 15 12 10 10 11 15 16 17 15 9 5 2 3 5 8 11 12 12 12 12 11 11 11 14 18 21 22 16 9 4 3 5 8 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 nan
nan 11 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 12 12 11 11 10 11 11 11 11 11 10 9 9 9 9 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 16 16 16 15 15 14 13 13 12 11 10 10 10 10 10 10 10 11 13 15 17 18 18 18 17 16 15 12 10 10 11 14 17 19 19 16 12 8 6 6 7 9 11 12 12 12 12 12 13 13 15 16 16 14 11 8 7 8 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 11 12 12 12 12 12 12 12 12 12 13 15 16 16 16 16 15 15 14 13 12 12 11 10 9 9 8 8 9 10 11 13 15 16 17 17 17 16 16 15 15 15 15 14 15 16 19 21 20 18 15 13 11 10 10 11 11 12 12 13 15 16 16 14 11 10 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 11 11 10 9 9 9 10 10 11 11 12 13 13 12 11 10 10 10 12 13 13 13 13 12 12 12 12 13 14 15 16 16 16 16 16 15 14 13 13 13 12 11 10 9 8 7 7 9 10 12 13 15 16 16 16 15 14 14 15 17 17 17 15 15 16 18 18 18 18 16 15 13 12 12 11 10 11 14 17 20 19 14 9 5 5 7 9 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 10 10 11 10 10 10 11 11 10 9 9 10 10 10 11 11 12 13 12 12 11 9 9 10 12 13 14 13 13 12 12 12 13 13 14 15 16 16 16 16 16 15 15 14 14 14 14 14 13 12 10 9 8 8 8 9 11 13 14 15 15 14 12 11 12 14 15 15 14 14 14 14 15 15 15 16 16 16 15 12 10 8 11 15 18 21 17 10 5 1 3 5 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 nan
nan 12 12 12 12 11 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 11 11 10 10 9 10 10 10 11 11 12 13 12 12 10 9 9 10 11 13 13 13 12 12 12 13 14 15 15 16 16 16 16 16 15 15 16 16 16 16 17 17 17 16 14 13 11 10 9 9 9 11 13 14 14 12 10 9 10 12 13 14 14 13 13 13 13 13 13 15 16 17 17 14 9 7 10 15 18 19 12 3 -1 -3 0 5 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 12 13 13 12 11 10 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 11 11 11 12 13 14 15 15 15 14 14 14 14 14 14 15 15 16 17 17 18 19 19 19 17 16 14 12 11 11 12 13 14 14 12 10 8 8 10 12 13 13 13 13 13 13 13 12 14 17 18 20 16 11 9 11 14 16 15 7 0 -3 -4 -0 6 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 12 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 9 9 10 10 10 11 11 11 12 11 11 11 10 10 10 11 11 11 10 10 11 12 13 14 14 13 13 12 12 12 12 13 13 13 13 13 14 15 17 18 20 20 20 19 17 15 14 13 13 15 16 17 15 11 9 7 8 10 12 13 13 13 13 12 12 12 14 17 19 21 18 14 12 12 13 13 11 5 0 -2 -2 2 6 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 12 12 11 11 11 11 12 12 12 12 11 11 12 12 14 15 17 18 19 18 18 16 14 13 13 15 16 19 18 15 11 8 7 8 10 12 12 12 12 12 12 13 14 17 19 21 19 16 14 12 11 10 7 3 1 0 2 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 8 9 11 12 13 13 12 11 10 10 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 12 13 14 15 15 14 13 13 13 13 14 16 18 17 15 12 9 9 10 12 12 12 12 12 13 14 16 18 20 21 20 17 15 13 10 8 5 2 1 3 6 9 9 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 12 13 14 14 13 12 12 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 14 14 12 11 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 13 14 15 15 14 13 12 12 12 12 12 12 13 14 15 17 19 20 21 20 18 16 13 9 5 3 2 3 7 10 11 11 10 11 12 12 12 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 12 13 14 14 13 13 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 11 12 13 14 15 15 15 16 16 17 16 15 13 12 10 9 9 9 9 8 7 6 5 6 8 10 11 11 10 10 11 13 13 13 13 13 13 13 13 13 14 15 16 17 17 18 19 19 18 17 15 12 7 4 2 2 6 10 11 12 12 11 11 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 12 12 11 11 11 11 11 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 11 11 11 10 9 9 10 12 13 14 14 14 14 14 15 17 18 18 17 16 14 12 11 10 10 10 9 8 6 6 7 9 11 12 11 10 11 12 13 14 14 14 13 13 13 13 14 15 17 18 18 18 17 17 16 16 15 13 9 5 2 1 4 8 10 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 11 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 12 12 12 12 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 10 11 12 13 14 14 14 14 13 12 11 10 9 10 10 11 12 12 12 12 12 12 13 15 17 18 18 17 15 13 12 11 11 11 11 9 9 10 12 14 16 16 14 14 15 16 17 16 15 14 14 13 12 13 13 15 16 18 19 19 19 17 16 15 14 12 8 3 0 -0 4 9 11 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 13 13 11 10 8 8 8 9 10 11 11 12 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 nan
nan 12 12 12 12 13 13 12 12 11 10 9 9 10 10 10 11 12 13 13 13 12 12 11 11 10 10 10 9 7 7 7 7 9 9 10 10 11 11 11 12 13 13 12 11 11 12 13 15 16 17 17 16 14 13 12 11 10 10 10 10 11 11 11 10 10 10 10 11 13 15 16 16 15 14 12 11 12 12 12 12 11 12 13 15 17 18 18 17 17 17 17 16 15 14 14 13 13 12 12 11 11 12 13 15 17 18 18 17 16 15 13 10 4 1 0 4 9 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 13 14 14 13 12 11 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 13 13 12 12 10 9 9 9 9 10 10 11 12 13 13 13 12 12 11 10 9 8 8 7 7 7 8 9 9 9 9 9 10 10 11 12 13 13 13 12 13 14 15 16 16 16 16 15 14 13 12 11 11 11 11 12 12 11 10 10 9 9 9 10 11 12 12 12 12 11 11 11 11 12 12 13 13 13 14 14 14 13 13 13 13 13 14 14 15 15 14 14 13 13 13 12 11 9 9 11 14 16 17 17 17 16 14 12 8 5 5 7 10 12 12 13 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 13 13 13 12 12 12 12 11 10 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 9 10 11 11 12 11 10 10 10 10 11 12 12 13 13 13 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 14 13 12 10 9 8 8 9 10 12 15 17 18 17 16 15 14 14 15 15 14 13 12 12 13 14 15 17 17 16 15 13 10 8 9 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 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 12 12 12 12 12 12 12 12 nan
nan 13 13 13 12 12 12 11 10 10 9 9 9 9 10 10 10 10 11 11 13 14 14 14 13 13 13 12 12 12 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 12 12 13 14 14 13 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 12 11 9 9 9 10 11 14 17 20 22 21 19 16 14 14 15 17 17 17 17 16 15 15 15 15 16 17 17 16 13 11 11 12 13 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 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 12 nan
nan 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 11 11 12 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 15 15 15 14 14 13 13 13 12 13 12 12 12 12 12 12 12 13 14 14 13 13 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 14 14 15 18 21 22 22 21 18 15 13 13 15 16 17 18 18 18 17 17 17 17 17 18 17 16 13 12 12 13 14 15 15 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 11 11 12 12 nan
nan 12 11 10 10 10 9 9 10 10 10 9 9 9 10 10 11 12 13 13 14 13 13 12 12 13 13 13 13 12 12 12 13 13 14 15 15 14 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 12 12 11 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 13 14 14 14 13 13 13 16 20 21 21 19 16 14 13 13 13 14 15 16 18 18 19 19 18 18 18 18 17 16 14 13 13 14 14 15 15 14 14 13 12 12 11 11 11 11 11 10 10 10 11 11 11 12 12 11 10 9 8 7 7 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 9 7 5 4 5 8 10 12 12 nan
nan 10 9 8 8 8 9 10 11 11 11 10 10 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 10 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 13 12 10 9 10 14 18 20 20 18 15 14 13 13 13 13 14 16 18 19 20 20 20 19 18 17 16 15 14 14 14 14 14 14 15 15 15 14 13 12 11 11 10 10 10 11 11 11 11 11 12 13 13 13 12 10 8 6 6 7 8 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 14 14 13 10 7 4 5 7 10 12 12 nan
nan 9 8 8 8 9 10 11 12 13 13 12 11 9 9 10 10 10 10 9 9 9 10 11 11 11 11 11 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 11 11 11 10 10 9 9 9 10 10 11 11 11 12 12 12 13 12 12 12 12 13 13 13 13 12 12 13 13 14 13 13 11 10 9 11 15 18 19 18 16 14 14 14 13 13 14 15 17 18 20 21 21 20 18 17 15 14 14 14 14 14 14 14 14 14 15 15 14 14 13 12 12 11 11 11 11 11 11 11 11 13 14 15 15 14 12 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 15 17 17 17 14 12 11 11 12 13 13 nan
nan 8 8 9 10 11 11 12 13 14 14 14 12 10 9 9 9 9 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 12 11 10 10 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 13 13 12 12 11 12 13 15 16 16 15 14 14 14 14 14 14 14 15 16 16 17 17 18 18 17 16 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 12 12 12 12 12 12 12 11 11 12 14 16 17 16 14 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 14 16 17 18 17 15 14 13 13 13 13 nan
nan 10 10 11 12 13 13 13 14 14 14 14 12 11 10 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 14 13 13 12 12 12 12 13 13 13 13 13 13 13 14 14 14 13 13 12 12 11 11 11 12 12 11 11 12 13 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 12 12 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 nan nan
CAPE
3 4 4 4 5 5 5 4 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 5 5 5 6 6 6 7 6 5 6 6 6 6 6 7 7 6 5 5 4 4 3 3 2 2 2 1 1 1 2 1 0 0 0 0 0 0 0 0 0 1 1 3
2 3 3 3 4 4 4 4 4 4 3 2 2 1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 3 4 4 4 3 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 5 5 5 6 6 6 5 6 6 6 6 6 7 7 7 6 4 3 2 1 1 2 2 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1
2 2 2 2 3 3 4 3 3 3 3 2 2 2 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 3 3 4 4 5 5 5 6 6 6 7 7 7 7 7 6 5 5 5 3 2 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
2 2 2 2 3 4 3 2 2 3 3 2 2 2 2 3 2 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 2 2 1 2 2 3 4 4 4 3 3 4 4 3 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 4 5 6 6 5 5 6 6 6 6 6 6 6 6 6 7 5 4 2 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
4 4 3 3 3 3 3 3 4 3 3 2 2 2 2 3 3 2 2 2 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 1 2 3 3 3 3 3 4 5 5 5 4 4 4 5 3 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 3 5 6 5 5 5 5 6 6 6 5 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1
10 6 4 3 3 3 2 3 4 4 3 3 2 3 3 3 3 3 3 2 1 1 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 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 2 1 0 0 0 0 1 2 3 3 3 3 4 4 4 4 5 5 4 4 5 3 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 2 2 3 4 5 5 5 6 6 5 5 5 5 6 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 2 2 2
18 6 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 2 2 1 0 0 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 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 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 2 2 4 5 6 6 6 7 6 6 5 5 5 5 6 5 4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 4 4
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