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 9 9 8 9 9 9 9 8 8 8 8 8 8 7 7 8 9 10 10 11 11 10 9 8 7 7 7 7 7 6 7 7 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 10 8 8 7 7 8 9 9 10 10 10 10 10 10 9 10 10 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 13 13 13 13 14 14 15 16 17 18 19 19 18 16 14 12 11 10 10 10 10 10 10 9 9 8 6 5 6 6 7 7 9 9 10 10 11 12 11 9 7 6 6 8 9 10 9 9 9 9 9 8 8 8 8 10 10 10 10 11 11 11 10 10 11 11 11 11 11 10 10 nan
nan 10 9 9 8 8 9 9 10 9 9 8 9 9 9 9 9 9 9 9 8 9 9 10 10 9 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 13 13 14 14 13 11 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 11 10 10 10 9 10 10 10 10 11 12 13 13 13 13 13 13 13 13 14 13 13 13 13 14 15 16 16 17 18 18 17 16 14 13 11 11 11 11 11 10 9 9 8 8 7 7 7 6 7 8 9 10 11 11 12 12 10 8 6 6 8 9 10 10 9 9 9 9 8 7 7 9 10 10 11 10 10 9 10 11 11 11 11 11 11 11 10 9 nan
nan 9 9 9 9 10 11 11 10 10 9 8 8 8 9 9 9 10 10 10 9 8 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 12 11 10 10 9 8 7 7 8 8 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 11 13 13 13 13 12 12 13 14 14 14 13 13 13 14 14 15 15 15 15 16 16 17 17 16 14 12 11 12 12 12 11 9 8 8 9 9 9 8 6 6 7 9 10 11 11 11 11 10 8 6 6 8 9 10 11 10 9 9 8 7 6 7 8 10 10 10 10 9 9 10 11 11 11 11 11 12 11 10 9 nan
nan 9 9 10 10 11 11 11 11 10 9 8 8 8 8 9 9 10 11 11 10 9 7 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 11 11 11 11 11 12 12 12 11 11 11 10 9 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 12 12 12 13 14 14 14 13 12 12 13 14 15 15 14 13 14 14 15 16 17 17 16 14 12 12 13 14 13 11 9 8 9 10 10 9 6 5 7 9 11 10 10 10 10 9 8 7 7 8 10 11 11 10 9 9 8 7 7 8 9 9 10 10 11 10 10 10 10 11 11 11 12 12 12 11 10 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 12 12 12 11 12 12 13 14 14 13 11 11 12 13 14 14 13 12 12 13 14 16 18 18 18 18 16 14 13 14 14 13 10 8 8 10 11 10 7 6 7 9 10 10 10 10 9 9 8 8 8 9 11 12 11 10 9 9 8 8 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 nan
nan 9 9 8 8 8 10 10 11 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 11 11 11 11 11 12 12 13 13 13 11 11 11 11 12 13 11 11 11 12 13 16 17 18 19 20 20 18 16 15 16 16 13 9 8 9 11 10 8 7 8 9 10 10 10 10 9 9 8 8 9 10 11 11 10 9 8 8 8 9 10 11 11 11 11 12 12 12 11 9 9 9 9 10 10 11 12 12 13 nan
nan 9 9 8 8 8 9 10 11 11 10 10 11 11 11 11 11 10 9 8 8 7 8 10 10 10 11 11 11 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 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 11 11 12 11 11 11 10 9 9 8 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 10 11 11 11 11 12 13 13 13 11 10 9 10 12 12 11 11 11 11 13 15 16 17 18 20 22 21 19 19 19 19 16 12 10 10 11 11 10 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 9 10 11 12 13 13 13 13 11 9 7 6 6 6 8 9 9 10 11 11 nan
nan 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 9 9 10 10 11 10 10 10 10 9 8 7 7 7 7 8 8 7 7 8 8 9 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 8 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 10 10 11 11 12 13 13 11 9 9 10 12 12 12 11 11 11 12 14 15 16 17 19 21 21 22 22 22 21 18 15 12 12 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 11 12 13 13 11 9 8 6 5 4 5 6 7 8 8 8 8 nan
nan 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 10 10 10 11 11 10 9 8 7 7 7 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 9 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 10 10 10 11 12 12 11 9 9 11 12 12 12 11 10 11 12 14 15 16 18 19 21 22 23 24 23 21 19 17 15 14 15 15 15 14 11 10 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 9 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 11 12 12 12 11 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 13 12 10 9 9 8 7 6 6 6 7 8 9 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 12 12 12 12 11 11 11 12 14 15 16 17 19 20 21 24 26 25 23 21 19 17 17 17 17 15 13 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 10 9 8 7 7 7 6 5 5 5 6 6 8 9 9 8 7 6 4 5 5 5 nan
nan 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 11 12 13 13 12 11 11 10 10 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 13 12 11 10 9 8 7 7 7 7 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 11 12 13 14 15 16 17 18 20 23 25 25 24 23 21 19 19 19 17 14 12 12 12 12 13 14 14 13 13 12 12 10 10 10 10 10 11 11 10 9 9 8 8 7 6 5 4 3 3 4 6 7 8 8 7 6 6 5 5 5 nan
nan 9 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 9 10 11 12 12 12 12 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 12 13 13 13 13 13 12 11 10 8 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 17 19 20 21 21 20 19 19 20 19 16 13 12 12 13 13 14 15 15 14 13 12 11 10 9 9 9 9 11 11 11 10 9 9 8 8 7 6 5 4 3 4 4 5 6 7 7 8 8 7 6 5 nan
nan 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 12 12 11 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 14 14 13 11 9 9 9 10 10 10 9 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 13 14 15 15 15 16 16 16 15 16 15 12 11 11 12 13 13 13 13 13 13 13 12 10 9 9 9 8 8 10 11 12 11 10 9 9 8 7 6 6 5 5 4 5 5 6 7 8 9 8 8 6 5 nan
nan 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 10 11 11 11 10 10 9 9 8 8 8 7 7 8 8 9 9 10 10 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 13 11 10 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 11 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 10 11 11 12 11 10 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 7 6 6 5 6 7 7 8 8 8 9 9 8 7 nan
nan 11 10 9 8 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 7 7 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 9 9 9 8 8 9 9 10 10 11 12 10 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 11 10 11 11 10 10 9 9 9 10 9 9 10 10 10 9 9 10 11 11 11 10 9 8 7 7 7 8 9 9 10 9 9 9 9 9 8 8 9 9 9 8 9 10 10 9 10 10 11 9 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 10 10 10 nan
nan 9 8 7 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 9 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 12 10 9 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 11 11 11 12 12 11 11 10 10 9 10 11 12 13 14 14 15 16 15 14 13 13 13 12 10 9 9 9 8 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 nan
nan 8 7 7 7 7 7 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 12 14 14 13 12 12 12 12 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 11 12 12 12 11 11 11 11 12 14 15 17 18 19 20 20 19 18 18 17 17 16 14 12 10 8 8 8 8 8 8 9 9 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 8 7 7 6 6 7 8 8 9 10 9 9 8 8 9 8 8 7 7 7 8 9 nan
nan 7 7 8 9 9 8 7 8 9 10 10 11 11 11 11 11 10 10 11 11 11 10 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 10 10 11 11 11 12 13 13 13 14 14 13 12 12 14 15 16 16 16 15 14 13 12 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 11 10 9 9 10 13 15 17 18 18 18 18 18 18 19 19 20 21 20 19 18 14 11 9 9 8 8 8 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 7 7 8 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 8 nan
nan 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 14 14 14 13 13 13 13 14 15 16 17 18 18 17 15 13 12 11 11 10 10 10 10 11 11 11 12 12 11 11 10 9 9 9 8 8 9 9 10 11 10 8 6 4 6 9 13 16 16 16 15 14 14 15 15 17 18 20 21 23 23 22 19 16 14 12 10 10 10 10 9 10 10 10 10 9 9 8 9 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 nan
nan 10 11 11 12 11 11 10 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 10 9 9 8 9 9 10 10 9 8 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 10 10 9 9 8 8 9 9 10 11 12 13 14 13 13 12 12 12 12 13 12 12 14 17 19 21 20 17 15 13 12 11 11 11 11 11 11 12 12 12 12 11 10 9 9 8 8 8 8 9 9 10 9 7 4 2 3 6 10 13 14 13 13 12 12 12 13 13 13 15 18 21 24 26 26 25 23 21 18 15 13 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 6 6 6 6 6 nan
nan 10 11 11 11 11 10 9 8 8 8 8 8 8 9 10 11 11 12 12 12 12 11 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 9 9 9 9 10 10 9 9 8 9 9 10 11 12 13 13 12 11 10 10 10 10 11 9 8 10 13 17 21 22 21 18 15 13 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 10 10 8 6 4 4 6 9 10 10 10 9 9 10 11 11 10 10 11 13 15 19 22 25 27 28 28 27 24 20 17 14 12 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 11 10 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 nan
nan 9 10 10 9 9 9 8 8 9 9 9 9 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 9 9 8 9 9 10 9 9 9 9 10 10 11 12 12 12 11 10 9 7 7 9 10 9 8 8 10 13 17 21 22 20 16 13 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 9 9 8 7 5 5 6 8 8 8 7 7 8 9 11 13 16 19 23 25 27 28 27 24 20 16 13 11 10 11 11 11 10 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 9 8 7 7 6 6 7 8 9 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 6 6 6 6 7 nan
nan 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 8 8 8 9 9 9 10 10 9 10 10 11 12 12 11 11 10 8 6 7 9 11 11 9 8 8 10 13 17 20 20 17 12 10 10 10 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 11 10 9 9 7 4 3 3 3 3 4 4 5 5 6 8 10 12 15 18 21 23 25 26 25 22 19 15 12 10 9 8 8 7 8 8 8 8 8 8 9 10 11 11 11 10 9 8 7 7 8 8 7 7 7 9 10 11 11 11 11 11 11 10 9 8 7 7 6 7 8 8 8 7 7 7 7 nan
nan 10 9 8 8 8 8 8 9 9 10 11 12 12 11 10 9 9 8 8 8 8 9 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 8 8 8 8 9 10 10 10 9 9 10 10 11 11 10 10 9 7 5 7 10 12 12 10 8 7 7 9 13 18 19 17 13 10 9 9 10 11 11 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 12 12 11 12 12 13 13 14 13 9 5 1 -1 -1 -1 -0 1 2 4 6 8 9 10 12 14 16 19 23 25 25 23 20 16 11 9 7 6 6 7 8 8 9 9 10 11 12 11 11 10 9 8 8 8 9 9 10 9 9 9 10 10 11 11 12 12 12 11 11 9 9 8 9 9 10 11 11 10 9 9 9 8 nan
nan 10 9 8 9 9 9 9 8 8 9 11 11 12 11 11 10 9 9 8 8 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 9 8 5 5 7 10 13 13 10 7 6 6 7 11 16 19 18 14 10 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 13 15 18 17 14 10 5 1 -2 -4 -5 -4 -1 2 5 6 7 8 8 10 11 13 16 20 22 22 21 19 16 13 11 9 8 8 8 9 11 12 12 12 12 11 11 10 9 10 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 10 9 10 10 11 12 13 12 12 11 11 10 10 9 nan
nan 9 8 9 10 11 11 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 8 6 4 4 7 11 13 12 9 7 5 5 5 8 13 18 19 16 10 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 12 13 12 12 13 12 12 12 14 16 16 14 12 9 6 2 -2 -4 -6 -4 -0 2 4 5 5 6 6 7 8 9 12 16 18 19 19 19 19 18 16 14 13 11 11 12 13 13 13 12 11 11 11 11 12 13 13 13 12 12 10 10 9 10 10 10 11 11 11 10 9 8 8 9 11 13 13 12 11 10 10 10 11 11 10 nan
nan 8 8 8 9 11 12 12 11 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 12 13 13 12 11 10 9 8 8 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 10 9 9 8 8 8 8 8 7 5 2 2 6 10 13 12 10 8 7 5 5 6 10 15 18 17 12 7 7 8 9 9 8 7 7 8 9 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 11 11 12 12 11 10 9 9 8 6 4 1 -1 -2 -1 0 2 3 3 3 3 3 2 3 5 8 12 14 16 18 20 21 21 21 20 17 14 13 13 13 13 12 11 11 11 11 12 11 10 9 9 8 8 8 8 9 10 12 12 12 11 9 7 7 8 10 12 13 13 12 11 10 10 10 11 11 11 nan
nan 7 7 7 8 10 11 11 10 9 9 10 11 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 11 10 9 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 5 2 2 5 9 12 12 11 10 9 7 5 5 8 12 17 18 13 9 7 7 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 12 12 11 10 8 8 8 8 8 7 6 5 5 4 3 3 4 4 4 4 3 2 0 0 1 4 6 8 11 13 16 18 20 22 21 18 15 13 12 12 11 10 9 9 9 9 8 8 7 7 6 7 7 8 9 12 13 13 12 10 7 6 7 9 12 13 13 13 12 12 11 10 11 11 12 12 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 8 7 5 2 2 5 9 12 13 13 12 11 10 8 7 8 10 15 17 14 10 7 7 8 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 6 4 2 0 -0 1 2 4 5 6 9 13 15 17 16 15 14 12 11 9 8 8 8 9 10 10 9 9 9 9 9 9 9 11 13 14 13 12 9 7 8 10 12 13 12 12 11 11 11 11 11 11 11 12 11 nan
nan 11 10 9 8 7 6 6 7 7 8 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 7 4 0 1 5 9 12 13 13 13 13 12 11 10 9 10 13 15 14 12 8 7 7 9 10 11 11 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 11 12 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 10 9 7 5 4 3 3 4 4 4 4 6 8 11 12 13 13 12 11 9 8 8 9 10 11 12 13 12 12 11 11 10 11 12 13 14 13 12 11 11 12 13 13 12 11 10 10 10 10 10 11 11 10 10 10 nan
nan 12 12 10 9 8 6 6 6 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 10 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 3 -1 0 4 9 12 13 13 13 14 14 13 12 11 11 12 13 13 12 10 8 8 9 10 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 12 12 12 12 13 15 15 14 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 9 9 8 9 10 11 12 12 12 11 10 9 9 10 11 12 12 13 13 12 12 11 11 12 13 14 14 14 14 14 14 13 12 11 10 10 10 9 9 8 9 9 8 8 8 8 nan
nan 10 10 10 9 8 7 5 5 6 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 8 8 8 8 7 8 9 9 9 9 9 9 10 9 9 9 8 6 2 -0 1 4 9 12 13 13 13 14 14 14 14 13 13 12 11 11 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 11 12 14 17 18 17 15 13 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 13 15 17 18 17 15 14 14 13 12 12 12 11 10 10 11 12 12 13 13 13 12 12 12 12 13 13 14 15 16 16 14 12 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 nan
nan 9 9 9 9 8 6 4 4 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 9 9 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 8 9 10 9 9 9 9 9 9 8 7 4 0 -1 1 5 10 12 13 13 13 13 14 15 15 15 14 12 10 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 13 16 17 18 17 14 13 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 14 18 22 25 25 22 20 19 18 17 17 16 15 14 13 14 16 17 18 18 17 16 15 15 15 15 14 14 14 14 13 12 10 9 9 10 10 10 9 7 6 5 5 5 5 5 6 6 nan
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nan 8 8 7 5 4 4 6 7 7 7 7 8 9 9 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 8 8 8 7 3 -2 -5 -5 1 8 11 12 13 13 13 13 15 17 19 19 15 12 10 10 8 7 6 5 6 8 8 9 9 10 11 11 11 10 10 10 10 11 12 13 14 14 13 12 12 11 11 10 9 9 11 13 15 14 14 14 14 13 12 11 11 11 10 10 9 9 9 9 9 9 8 8 8 6 5 4 7 11 15 18 20 21 21 22 23 24 25 25 26 26 27 27 27 26 24 23 23 23 24 23 21 18 17 15 14 12 10 10 9 9 9 9 8 7 6 6 6 6 6 7 7 7 nan
nan 7 7 5 4 3 5 7 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 10 10 10 10 10 9 10 10 10 10 9 8 7 7 8 9 9 9 9 8 8 8 9 9 10 9 9 8 7 6 4 0 -4 -5 -1 5 9 11 12 13 13 14 15 17 19 18 15 12 11 11 10 9 8 6 7 8 8 9 9 10 11 11 11 10 9 8 8 9 11 14 17 17 15 14 12 12 11 9 8 8 10 13 14 15 15 15 15 14 13 11 11 10 10 9 9 9 9 9 8 8 8 8 8 6 3 -0 -1 0 3 7 11 14 14 15 16 18 20 21 22 23 23 24 24 23 22 21 20 20 21 21 21 20 19 17 14 10 8 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 nan
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nan 6 7 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 10 11 12 12 13 13 13 12 10 9 8 7 7 6 6 7 8 8 8 8 7 7 6 7 7 8 8 7 6 4 1 -3 -4 -1 4 7 9 10 12 13 15 18 21 21 18 14 10 8 8 7 7 7 9 9 10 9 8 8 8 9 11 11 10 7 3 1 2 7 12 20 24 24 20 17 14 10 7 6 8 10 13 15 17 17 16 13 11 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 4 2 0 -1 -1 -1 -1 -1 -1 -1 -0 2 3 5 5 5 5 5 5 5 5 6 5 4 2 -0 -1 1 6 10 12 12 11 10 8 7 8 9 9 9 8 8 8 8 8 nan
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nan 7 8 9 10 12 12 12 11 11 11 11 11 10 10 10 11 12 13 13 13 12 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 9 11 13 15 16 16 15 14 15 16 17 18 17 16 15 14 14 15 14 13 11 10 8 7 7 8 8 9 9 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 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 12 12 12 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 12 12 12 12 12 12 11 11 12 12 11 10 10 nan
nan 8 8 7 8 8 9 9 9 10 11 11 11 10 10 11 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 11 13 14 15 14 13 12 12 13 14 14 13 12 11 11 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 10 10 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 nan
nan 12 11 9 7 6 5 5 6 6 7 8 9 9 10 11 11 11 11 10 11 11 12 12 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 12 13 14 13 13 12 11 10 10 10 9 9 8 8 8 9 10 10 10 9 9 8 9 9 8 8 7 7 8 9 9 8 8 9 9 10 11 11 11 10 9 8 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 nan
nan 17 17 15 12 9 5 3 2 2 3 4 6 7 8 9 9 9 8 8 9 10 11 11 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 9 9 9 9 9 9 10 11 12 13 13 13 12 11 10 10 9 8 7 6 6 7 7 8 9 9 9 9 8 8 8 9 8 8 7 7 8 9 9 9 8 8 9 9 11 12 12 12 11 10 9 9 9 8 8 7 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 12 12 12 11 12 12 13 13 nan
nan 18 21 21 19 14 9 5 3 2 3 5 6 7 8 8 8 8 8 8 9 10 11 11 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 10 10 10 10 11 11 12 12 12 12 11 10 9 8 8 7 6 7 7 8 8 9 9 10 9 9 9 9 9 9 8 7 6 7 8 9 9 9 9 9 10 10 12 13 14 13 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 13 13 13 13 12 11 11 10 10 9 9 9 10 11 11 11 11 11 12 13 13 nan
nan 15 19 21 21 17 12 8 6 6 7 8 8 9 9 9 9 9 9 8 9 9 10 10 10 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 11 11 11 11 12 12 11 10 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 7 7 8 9 10 10 9 10 11 13 13 13 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 13 13 13 14 14 13 13 12 12 11 11 10 9 9 9 10 11 11 11 11 11 12 12 nan
nan 12 14 17 17 15 12 9 7 7 8 9 10 11 11 11 11 11 11 10 10 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 11 11 11 11 11 10 11 12 12 13 13 12 12 13 13 12 11 9 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 6 7 8 8 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 12 12 11 10 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 12 12 13 13 13 12 12 12 11 10 10 9 10 10 11 12 12 12 11 11 nan
nan 11 12 13 13 13 12 10 9 8 8 8 9 11 12 12 13 13 12 12 11 10 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 14 15 15 15 16 15 12 9 6 5 6 8 10 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 10 9 9 8 7 7 7 7 8 8 9 10 11 11 12 12 12 12 12 11 12 12 11 11 11 11 11 10 9 9 9 9 10 11 12 12 12 11 11 10 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 9 10 10 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 11 11 10 9 10 10 11 12 13 13 12 11 nan
nan 11 11 11 11 12 13 13 13 11 10 9 9 10 11 12 12 13 12 12 11 11 11 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 13 15 17 18 19 19 16 10 5 1 0 3 7 10 11 12 12 12 12 11 11 11 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 11 12 12 11 11 9 9 9 9 10 12 13 14 13 13 nan
nan 11 10 11 11 13 15 15 14 13 12 11 10 10 11 11 11 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 15 18 20 22 21 17 10 5 -1 -3 0 4 8 11 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 10 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 10 11 11 12 11 10 9 9 8 9 10 11 12 13 13 nan
nan 11 11 11 12 12 13 13 13 12 12 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 17 20 22 22 19 13 7 -0 -4 -1 2 7 10 11 12 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 10 11 11 12 12 11 11 10 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 13 14 14 13 12 12 11 11 10 10 10 10 10 9 8 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 9 10 11 12 12 11 11 10 8 8 9 9 10 11 11 nan
nan 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 12 15 18 22 23 22 17 10 2 -2 -1 2 6 9 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 8 9 10 11 13 13 13 12 11 10 9 9 9 10 10 10 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 13 12 12 11 11 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 13 17 20 23 22 19 12 5 2 2 4 7 9 10 11 11 11 11 11 11 11 11 11 10 10 10 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 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 11 10 10 10 10 10 10 nan
nan 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 12 12 12 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 12 14 17 19 19 17 12 8 6 5 7 9 10 10 11 11 11 11 11 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 13 13 12 12 12 12 12 12 12 12 11 10 9 10 10 11 11 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 10 10 11 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 10 10 10 11 11 12 12 13 14 14 13 11 10 9 8 9 10 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 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 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 13 12 13 14 14 14 14 12 11 10 10 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 11 10 10 10 11 12 12 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 8 8 8 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 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 13 13 13 13 13 12 11 10 10 11 11 12 12 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 10 10 11 11 12 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 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 12 12 12 12 12 12 11 10 10 10 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 11 11 11 nan
nan 10 10 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 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 12 13 13 13 12 12 11 10 10 10 10 11 11 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 11 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 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 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 12 12 11 11 10 10 10 10 11 11 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 13 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 11 11 12 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 13 13 12 11 11 11 12 12 12 12 13 13 12 12 11 11 11 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 9 10 11 11 11 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 11 12 12 12 13 13 14 13 13 12 11 11 11 11 12 13 13 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 12 12 12 11 11 12 11 11 12 12 12 12 12 13 13 14 13 12 11 10 11 12 12 13 13 13 13 12 11 11 11 11 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 11 12 12 12 12 12 12 11 11 12 12 13 13 12 11 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 14 12 10 9 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 10 11 11 11 11 11 11 12 12 12 12 13 13 12 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 11 11 10 10 10 10 10 11 11 11 11 10 10 11 11 12 13 13 13 13 12 12 12 13 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 12 11 10 9 10 10 10 10 10 11 11 11 12 12 12 11 12 12 14 16 17 18 17 15 14 12 10 8 7 8 10 12 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 12 nan
nan 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 11 12 12 13 13 13 13 13 14 17 19 20 19 17 14 12 9 7 6 6 9 11 13 14 12 10 10 11 12 12 12 11 11 11 11 12 13 13 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 12 12 nan
nan 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 9 10 11 11 12 13 13 13 13 13 16 19 21 22 20 16 13 10 8 6 4 5 9 12 14 13 11 8 7 9 11 12 12 12 11 11 12 12 13 13 13 12 11 11 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 nan
nan 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 11 12 12 12 12 13 16 19 21 21 18 15 12 10 8 6 4 5 8 11 12 10 8 6 6 8 10 11 11 11 10 11 11 12 13 13 13 12 12 12 13 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 nan
nan 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 12 12 13 13 13 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 12 12 12 12 13 13 14 13 13 12 11 11 11 11 10 10 9 10 10 11 11 12 13 15 18 19 20 19 17 14 12 10 8 6 5 6 8 10 9 7 6 5 6 9 10 11 11 10 10 10 10 12 13 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 11 11 11 nan
nan 13 13 13 13 13 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 13 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 11 11 12 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 15 14 14 12 11 11 11 11 10 9 8 9 9 11 12 13 15 17 19 19 19 17 15 13 11 9 7 6 6 7 9 10 9 8 6 5 6 7 9 10 11 10 10 10 9 10 11 11 11 11 12 13 13 13 12 11 11 11 12 12 12 12 12 12 11 11 10 9 9 10 11 11 11 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 3 12 29 53 86 81 66 48 28 14 3 1 1 0 1 1 1 1 1 1 1 1 2 2 2 2 3 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 2 19 62 135 207 288 356 392 391 379 358 339 319 302 295 290 287 284 277 266 255 254 255 261 273 287 276 221 166 121 93 86 85 87 86 87 90 94 94 96 94 88 82 78 75 69 56 41 28 27 25 20 12 6 6 5 6 9 14 20 18 16 12 10 11 12 12 9 6 3 1
10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 30 69 100 116 111 87 66 26 7 2 0 0 1 1 1 1 1 0 1 1 2 2 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 10 29 58 106 179 264 325 369 391 363 317 294 287 284 279 274 269 259 249 247 251 256 263 277 262 229 189 147 108 98 96 98 101 104 108 111 112 112 112 111 108 97 86 73 57 40 29 25 22 20 17 14 15 14 16 24 39 47 40 35 33 31 31 28 24 19 11 5 5
16 13 8 3 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 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 2 2 3 3 3 9 35 78 127 174 204 203 145 88 45 17 1 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 4 3 3 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 3 6 15 44 95 159 240 327 330 289 289 288 293 291 284 275 263 252 244 244 250 256 264 256 236 207 169 129 116 112 114 119 124 131 135 137 137 135 138 130 115 96 75 55 38 26 19 15 14 16 20 23 25 31 42 58 58 61 68 73 80 75 58 39 25 17 17 15
18 15 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 2 2 4 7 14 27 59 98 137 175 212 255 206 157 111 64 16 5 1 0 0 0 1 0 0 1 1 2 2 2 3 3 3 2 2 2 2 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 1 1 5 12 26 57 128 196 235 257 277 295 304 301 285 267 255 246 243 247 251 252 247 235 215 186 152 133 126 128 134 140 145 148 152 154 153 149 142 126 100 66 44 26 15 8 6 9 14 20 27 36 48 57 66 73 87 105 118 121 106 80 54 34 29 25 20
21 19 17 14 9 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 1 0 0 0 1 0 0 0 0 0 2 7 21 44 76 105 131 148 155 173 184 186 173 139 74 34 14 4 0 0 0 0 1 1 2 2 2 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2 1 1 1 0 12 37 69 113 166 212 250 279 282 261 247 236 231 235 240 241 238 229 215 193 172 153 141 139 140 147 151 154 155 156 159 156 148 130 95 52 26 10 4 5 9 12 17 28 42 55 65 79 95 115 137 151 141 122 99 77 55 37 28 21 14
26 23 21 18 13 8 6 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 7 19 41 66 90 110 121 117 115 126 143 160 167 132 88 49 19 2 0 0 0 0 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 2 3 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 2 34 76 121 169 217 223 215 209 205 204 213 223 229 226 213 192 181 167 151 143 142 150 158 164 164 160 155 148 139 120 76 38 13 3 1 3 8 13 26 46 73 93 113 131 147 158 166 149 120 94 76 66 49 32 20 12 6
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37 32 29 28 26 20 17 16 14 11 9 8 7 3 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 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 1 1 0 0 0 0 0 0 0 0 0 1 2 5 8 8 12 20 29 35 38 45 49 49 50 67 97 127 141 123 59 30 11 2 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 19 53 83 107 116 137 164 187 193 183 166 156 152 140 130 128 139 152 154 145 125 104 82 54 28 14 5 1 1 0 4 15 36 60 81 104 117 121 115 100 76 59 45 36 33 30 24 18 14 11 8 6
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