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 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 8 8 9 9 9 8 8 8 9 10 11 12 12 11 10 9 8 8 7 7 7 6 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 9 10 12 13 13 12 10 9 9 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 7 7 8 9 10 11 11 11 11 11 11 12 12 12 12 11 10 11 12 12 12 11 10 9 10 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 8 8 8 8 9 11 12 11 11 10 10 nan
nan 7 6 6 6 6 5 5 5 5 6 6 7 7 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 5 5 6 7 7 7 7 7 6 6 6 7 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 11 11 12 11 11 10 9 9 10 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 11 11 10 10 10 9 8 8 7 7 7 8 9 10 11 11 11 10 10 10 11 12 12 12 11 10 10 11 12 13 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 8 7 8 10 11 11 10 10 10 nan
nan 7 7 6 6 6 6 5 5 5 5 6 7 8 8 7 7 7 7 6 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 6 5 5 5 6 6 7 7 7 7 7 8 9 9 10 10 11 10 10 10 9 9 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 11 12 12 12 11 11 11 11 11 10 9 9 9 10 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 10 10 9 9 10 9 9 9 9 9 10 10 10 11 10 9 9 9 9 9 8 8 8 9 10 10 9 8 9 nan
nan 9 8 7 7 7 6 6 6 5 5 6 7 8 8 8 8 7 7 7 7 7 8 8 9 9 10 9 9 8 7 6 7 7 7 7 7 5 5 6 8 10 11 12 11 10 7 6 5 5 6 6 7 7 7 8 9 10 11 11 11 11 11 10 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 11 12 12 12 11 10 10 10 10 9 9 9 9 10 11 12 12 11 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 9 9 8 8 9 10 9 9 8 8 nan
nan 11 8 7 7 7 7 7 6 6 6 7 9 11 12 12 11 10 9 8 7 7 7 8 9 10 10 9 9 7 6 6 7 8 8 8 6 5 6 9 12 15 17 17 16 13 10 7 6 6 6 6 7 7 8 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 12 12 12 11 10 10 10 10 9 9 9 10 10 11 12 12 11 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 10 11 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 nan
nan 12 9 7 7 7 8 8 8 8 9 11 14 17 18 18 17 14 12 9 8 7 7 8 9 9 9 9 7 6 6 6 7 7 7 6 4 5 9 14 19 21 22 20 18 14 11 8 6 6 6 7 8 8 9 9 10 10 11 11 11 10 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 10 11 12 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 7 6 7 8 8 nan
nan 12 9 7 7 7 8 8 9 11 14 18 21 23 24 23 21 17 14 11 9 8 8 8 8 8 8 7 7 6 6 5 5 5 4 3 3 7 13 20 23 24 22 19 15 12 10 8 7 7 8 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 10 9 8 9 9 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 8 8 7 7 8 10 10 9 8 8 9 9 10 10 9 7 6 6 7 8 nan
nan 11 8 7 6 6 7 8 11 14 18 22 23 22 21 20 18 17 14 12 11 10 9 8 8 7 7 7 7 7 7 6 5 3 1 0 2 7 14 19 21 21 18 14 11 9 8 7 6 7 8 10 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 12 12 12 12 11 10 9 8 8 8 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 10 11 11 10 10 10 10 9 10 10 10 11 11 12 11 11 11 11 11 10 9 9 8 8 8 8 9 9 8 7 7 8 9 10 10 8 7 7 8 9 10 9 8 6 6 6 9 nan
nan 10 7 6 5 5 6 8 12 16 20 21 19 16 13 12 12 13 13 12 11 11 10 9 8 8 8 8 9 9 9 8 6 4 1 1 2 6 11 14 15 15 13 10 8 7 6 6 6 7 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 10 10 11 11 11 11 11 10 11 11 12 12 12 12 11 10 9 8 8 8 9 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 8 8 9 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 9 10 10 9 7 6 7 9 10 10 9 7 6 6 8 nan
nan 8 6 6 5 6 8 11 14 18 21 19 15 10 7 7 8 9 11 11 11 11 11 10 9 8 8 9 10 11 10 9 8 6 4 3 3 4 6 9 10 10 9 8 7 6 6 6 6 7 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 9 9 10 10 11 10 10 9 9 10 10 9 7 6 7 8 9 10 10 9 7 7 8 nan
nan 6 5 5 7 9 12 16 19 21 20 17 13 9 7 6 7 9 10 11 12 12 12 11 10 9 9 9 10 10 10 10 9 8 7 5 5 4 5 6 7 8 8 8 7 7 6 6 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 11 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 8 nan
nan 5 4 5 7 10 14 19 22 21 18 14 11 10 8 8 8 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 10 11 12 12 11 11 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 10 11 11 11 10 10 10 10 9 8 8 7 7 7 6 6 7 7 8 nan
nan 5 4 4 5 8 12 17 20 19 15 13 11 10 9 9 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 11 12 12 12 11 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 8 9 10 11 11 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 10 11 11 10 9 9 8 7 7 7 7 7 8 nan
nan 6 5 5 5 6 9 13 16 15 14 12 10 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 11 12 12 10 9 9 8 7 6 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 10 11 12 12 12 11 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 8 7 6 7 8 8 9 10 11 11 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 11 11 10 9 8 8 9 10 11 11 11 10 10 11 11 11 11 10 9 9 8 8 8 8 8 nan
nan 9 8 8 7 7 8 10 12 12 12 11 9 9 8 8 8 8 7 7 8 8 9 8 8 7 7 8 11 14 16 16 14 12 10 8 7 7 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 8 9 8 8 8 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 8 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 10 11 12 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 nan
nan 11 11 11 11 10 11 11 13 14 14 13 12 11 11 11 11 10 9 8 7 8 8 8 7 7 6 7 10 14 18 20 18 15 13 10 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 10 10 11 12 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 nan
nan 10 11 11 12 13 14 16 19 20 20 19 18 17 17 16 15 13 11 9 8 8 9 9 9 9 8 8 10 13 17 19 19 17 15 12 10 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 8 9 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 10 9 10 11 11 12 13 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 10 10 11 11 11 10 9 9 9 nan
nan 8 9 10 11 14 16 20 24 26 26 24 22 20 19 18 16 14 12 10 9 9 10 11 11 11 10 10 11 14 17 18 19 17 15 13 11 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 6 5 5 6 7 9 12 15 14 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 6 6 7 9 12 15 19 22 25 26 24 21 19 18 16 15 14 12 11 10 10 10 11 12 11 11 10 12 15 18 20 21 19 17 14 12 10 9 9 9 10 10 10 9 9 8 8 8 8 8 7 5 4 4 6 8 12 16 17 16 13 11 10 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 10 11 11 12 12 12 nan
nan 4 4 5 7 9 11 14 17 21 23 21 18 16 15 13 13 12 12 11 10 10 10 11 11 10 9 9 12 17 22 24 24 22 18 14 12 10 9 9 9 9 10 10 9 9 9 9 9 9 8 6 4 3 4 6 10 15 18 19 17 14 12 11 10 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 9 9 9 9 9 10 10 11 11 11 10 9 9 8 9 9 9 10 11 12 13 13 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 13 12 12 11 11 11 10 9 9 9 9 10 10 11 12 nan
nan 5 5 6 7 7 8 10 14 18 21 21 18 15 13 12 11 11 11 11 11 10 10 10 9 8 7 8 13 20 27 29 29 25 19 15 12 11 10 9 9 9 10 10 9 9 9 9 9 9 7 5 3 2 3 6 11 17 20 19 16 14 12 11 11 11 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 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 12 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 9 8 8 8 9 10 10 nan
nan 8 8 8 8 8 7 9 13 17 21 21 18 15 12 11 10 10 10 11 11 11 10 9 8 6 5 8 15 24 31 33 31 25 19 15 13 11 10 9 9 9 10 10 9 9 9 9 9 8 7 5 3 3 4 7 12 19 21 19 16 13 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 11 11 10 10 10 9 9 8 8 8 9 9 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 6 6 7 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 10 nan
nan 10 10 9 9 9 9 10 14 18 20 20 17 14 12 10 10 9 10 10 10 10 10 8 6 4 4 9 16 23 29 30 27 23 18 15 13 11 10 9 9 9 10 10 10 10 10 9 9 7 6 5 4 4 5 8 14 19 22 20 17 14 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 6 7 8 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 8 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 nan
nan 10 10 9 9 10 11 13 17 19 19 18 16 13 12 11 10 9 9 9 9 9 9 7 5 4 5 10 15 18 21 21 19 18 17 15 13 11 10 9 8 9 9 10 10 10 10 9 8 7 6 5 5 6 8 11 15 18 20 19 17 14 12 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 9 10 11 13 14 15 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 8 8 8 9 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 nan
nan 9 9 9 9 10 12 15 18 19 18 16 15 13 12 11 10 9 8 8 8 8 7 5 4 5 8 11 13 13 12 12 13 14 14 14 13 11 10 9 8 9 9 10 10 10 10 9 8 6 6 6 8 10 12 14 15 16 17 16 15 13 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 13 14 15 14 12 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 7 8 10 11 11 11 11 11 10 11 11 10 10 10 10 9 9 9 9 9 nan
nan 9 9 9 10 10 12 14 17 18 17 15 14 13 12 11 10 9 8 6 5 3 2 1 3 7 11 13 12 9 7 7 10 12 13 13 12 11 10 9 9 8 9 9 10 10 10 9 8 7 6 8 10 13 15 15 14 13 13 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 12 13 14 14 14 12 11 10 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 9 10 11 12 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 10 11 11 12 11 11 10 9 9 9 9 9 9 8 8 9 10 10 11 11 11 10 10 11 11 11 10 10 10 10 10 10 11 11 nan
nan 9 10 11 12 12 12 14 15 15 14 14 13 12 11 10 9 8 6 4 1 -2 -3 -1 5 11 14 15 12 8 6 7 9 12 13 14 13 12 11 10 9 9 9 9 10 10 9 9 8 7 7 9 11 14 15 15 12 11 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 13 14 15 14 12 11 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 10 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 nan
nan 9 10 11 11 13 14 17 17 15 13 12 11 11 10 8 7 6 4 1 -3 -5 -5 2 10 15 16 15 12 9 7 8 10 12 14 14 14 13 11 10 10 9 9 10 10 10 9 8 8 8 8 10 12 13 13 12 10 9 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 11 13 14 15 15 14 12 11 10 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 11 15 21 22 19 15 12 9 9 7 5 4 3 2 -1 -5 -7 -4 5 13 15 15 13 11 10 10 10 12 13 14 15 15 13 12 11 10 10 10 10 10 10 9 9 9 8 9 10 11 12 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 11 12 14 15 15 14 13 12 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 11 12 12 11 10 10 10 10 10 9 10 11 12 13 12 11 10 9 9 10 10 9 9 10 10 10 10 nan
nan 10 9 9 9 11 16 23 26 25 21 15 11 8 5 2 1 1 1 -1 -5 -7 -3 3 9 11 11 10 10 11 11 12 12 13 14 14 14 14 12 11 10 10 10 11 11 10 10 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 9 9 9 9 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 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 12 14 15 15 15 14 12 11 10 11 11 11 11 10 10 10 9 9 9 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 9 8 8 8 9 9 9 9 11 12 13 12 11 11 11 11 10 10 11 12 13 14 13 11 10 9 9 9 9 9 9 10 10 10 10 nan
nan 10 10 11 12 14 18 24 27 27 25 19 13 7 3 -0 -1 1 2 2 -2 -5 -3 -0 4 6 7 8 9 11 12 13 13 13 13 14 14 14 13 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 12 14 15 15 15 15 13 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 11 12 13 12 11 11 11 11 10 10 11 12 13 14 13 11 10 10 9 9 9 9 10 10 10 10 10 nan
nan 8 10 13 17 19 21 23 25 25 23 19 13 6 2 -1 -0 2 4 5 2 -2 -2 -1 1 3 4 6 9 11 13 13 13 13 13 13 13 13 13 13 12 11 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 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 11 13 14 15 15 15 13 12 11 11 11 10 10 10 10 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 13 13 12 11 11 10 10 10 10 11 13 13 13 11 11 10 10 10 10 10 10 9 9 9 9 nan
nan 6 8 14 19 21 21 20 20 20 18 16 10 5 1 -0 0 3 6 7 6 3 1 1 1 2 4 5 7 9 11 12 13 13 13 12 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 12 13 14 15 14 13 11 11 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 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 12 13 13 13 13 12 11 10 10 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 nan
nan 5 7 11 15 17 17 16 16 15 14 12 9 5 2 0 0 2 6 8 8 7 5 4 4 4 5 5 6 7 9 10 12 13 13 12 12 12 12 12 13 13 12 11 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 9 11 13 14 14 13 12 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 10 11 13 14 14 13 12 11 11 11 11 10 10 11 11 10 10 9 10 10 10 9 9 9 10 10 nan
nan 5 5 7 10 12 12 12 12 12 11 10 8 6 3 2 1 2 5 7 9 9 8 7 6 6 6 6 6 7 8 9 11 12 12 12 12 11 11 12 13 13 13 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 9 8 7 7 8 9 10 12 13 13 12 10 9 9 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 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 7 7 7 8 8 10 12 13 13 12 12 12 11 11 10 10 10 10 11 11 10 9 9 10 10 10 9 9 9 10 nan
nan 7 7 8 8 9 9 9 10 10 10 9 9 8 6 4 4 4 5 7 9 9 9 9 8 7 7 7 7 7 8 9 10 11 12 12 11 11 11 12 13 13 13 12 11 10 10 9 9 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 9 11 13 13 12 10 8 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 7 7 7 7 6 6 6 6 6 7 8 10 11 11 11 10 11 11 10 9 9 9 10 11 11 10 9 9 9 9 9 10 10 10 10 nan
nan 13 14 13 12 11 10 9 9 10 10 10 10 9 8 7 6 6 6 7 8 9 10 10 9 8 8 7 7 7 8 9 10 11 11 11 11 11 11 12 13 13 13 13 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 9 11 12 12 11 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 8 9 9 9 9 10 11 10 9 8 9 9 10 11 11 10 9 8 8 9 9 10 10 10 nan
nan 17 20 20 18 15 13 11 11 11 12 12 12 12 11 9 8 7 7 7 7 8 8 9 9 9 8 8 7 7 8 9 10 10 11 11 11 11 11 11 12 13 13 13 13 12 11 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 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 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 7 6 6 7 7 8 9 10 11 11 11 10 9 9 9 10 10 11 11 10 9 8 8 9 9 9 9 nan
nan 15 18 20 19 18 16 14 13 13 13 14 13 13 12 11 10 9 8 8 7 7 8 8 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 13 13 13 13 12 11 10 10 9 9 10 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 10 10 9 9 10 10 10 9 8 7 7 7 8 9 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 nan
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nan 10 10 10 10 10 11 11 11 12 12 11 11 11 12 13 13 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 16 16 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 12 12 13 14 15 14 14 14 15 16 16 15 12 9 7 7 9 10 11 10 10 10 11 13 16 19 21 16 10 6 3 4 6 8 10 10 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 12 13 13 14 14 13 14 14 14 14 14 14 15 15 15 16 16 16 16 15 15 15 15 14 14 13 13 13 13 13 13 13 13 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 10 10 9 10 10 10 11 11 11 12 12 13 13 14 14 14 13 13 14 15 16 16 14 12 10 10 11 12 11 11 10 10 10 10 12 16 19 20 17 11 6 2 1 5 7 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 nan
nan 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 13 14 15 15 14 13 13 14 14 14 14 15 15 16 16 16 16 16 16 16 16 15 14 14 14 13 13 13 13 13 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 10 9 9 10 10 11 11 12 12 12 13 13 13 12 11 11 11 12 14 15 15 14 13 12 12 12 13 13 12 11 10 10 10 10 11 14 17 18 16 12 7 2 1 4 6 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 9 10 9 10 10 10 10 11 nan
nan 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 14 15 15 15 14 14 13 14 14 14 14 15 15 16 16 15 16 16 16 16 16 16 16 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 12 12 11 10 9 10 10 11 12 12 12 12 13 13 14 13 11 10 9 10 12 14 15 14 13 11 10 11 12 13 13 12 11 11 10 10 10 10 12 15 17 17 14 9 3 1 3 6 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 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 10 11 nan
nan 9 9 10 10 10 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 13 14 14 15 15 15 14 14 13 14 14 14 14 14 15 15 15 15 16 16 16 16 16 16 16 16 16 16 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 12 13 13 14 14 14 12 10 9 10 12 15 16 16 14 11 8 7 9 10 12 12 12 12 11 11 10 9 10 13 16 19 20 16 9 2 1 3 6 9 10 10 11 10 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 nan
nan 9 9 9 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 12 13 14 14 14 14 14 14 14 14 13 14 14 14 14 14 14 15 15 15 15 16 16 16 16 17 17 17 17 16 15 15 14 14 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 14 14 14 14 12 10 10 11 14 16 17 16 13 9 6 6 8 9 11 12 12 11 11 11 10 9 10 14 18 21 22 16 7 2 1 4 7 9 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 13 13 12 12 11 11 11 12 13 13 13 12 12 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 14 13 13 13 14 14 14 15 15 15 15 15 15 15 15 16 17 17 17 17 17 17 16 16 15 14 14 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 9 9 9 10 11 12 13 14 15 15 14 14 13 12 11 10 12 14 16 16 16 13 9 7 7 8 9 11 12 12 12 11 11 10 10 11 13 16 19 19 13 8 4 4 5 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 13 13 13 13 12 12 12 12 12 12 nan
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nan 9 8 8 9 9 9 9 9 9 10 10 11 11 11 11 12 12 13 12 12 12 12 12 13 13 13 13 14 14 15 15 15 16 17 17 17 17 16 16 16 16 17 17 17 18 18 18 18 18 17 17 16 15 14 14 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 12 12 13 14 15 16 16 15 14 13 13 14 13 12 11 12 13 13 13 12 12 12 11 10 11 11 12 11 11 12 13 14 15 15 12 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 13 13 13 13 12 12 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 nan
nan 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 11 12 12 11 11 11 12 12 13 13 14 14 15 15 15 16 16 16 16 16 16 17 17 17 17 17 17 18 18 19 19 18 18 18 17 17 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 12 12 12 13 15 16 17 16 14 12 11 12 11 11 10 10 11 13 13 13 13 12 12 11 11 11 12 12 12 13 14 17 18 16 13 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 12 12 12 13 13 13 13 13 13 13 12 13 13 13 13 12 12 12 11 11 11 11 12 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 nan
nan 8 8 8 7 7 7 7 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 13 13 13 13 14 14 14 15 16 16 17 17 17 17 18 18 18 18 19 19 19 20 19 18 17 16 15 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 13 13 14 16 17 17 15 13 10 9 10 11 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 12 15 17 20 19 14 8 5 5 6 9 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 12 12 12 12 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 12 12 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 7 7 7 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 10 10 10 10 11 12 12 13 14 15 15 16 16 17 17 17 17 17 18 19 19 20 20 20 19 18 17 16 15 14 14 13 13 13 13 13 13 14 14 14 13 13 13 13 13 14 14 14 14 13 12 11 11 12 12 12 13 15 17 18 17 15 11 8 8 9 11 11 11 11 11 11 11 11 11 12 13 13 14 13 12 11 13 17 19 20 15 8 4 2 4 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 10 9 9 8 8 7 8 9 10 11 11 12 13 14 14 15 15 15 16 16 16 17 18 19 20 20 20 20 20 19 18 16 16 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 13 13 13 12 12 11 12 15 18 19 19 15 9 7 7 9 10 11 11 11 11 11 11 11 11 13 14 15 16 14 13 12 15 18 20 17 10 4 2 2 5 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 13 11 11 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 nan
nan 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 10 9 9 8 7 7 7 8 9 10 11 11 12 12 13 13 14 14 14 15 15 15 16 17 18 19 20 20 20 20 19 18 17 16 15 15 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 13 13 14 13 14 14 13 12 11 13 17 18 19 15 10 8 7 8 10 11 11 10 11 11 11 12 13 14 16 17 18 16 14 14 15 17 17 13 6 3 2 3 6 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 13 12 12 12 12 13 13 13 12 12 11 11 12 12 13 13 13 12 12 nan
nan 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 8 9 9 10 10 11 11 12 12 12 13 13 13 14 14 14 14 15 15 16 17 18 19 20 20 20 19 19 18 16 15 14 14 13 13 13 14 14 14 14 13 13 13 12 12 12 12 13 13 14 14 15 14 13 12 12 14 15 17 16 13 11 9 9 9 10 11 11 11 11 11 13 14 16 18 19 19 16 14 14 14 14 12 8 4 2 2 4 7 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 13 13 14 13 12 12 11 11 12 12 13 13 13 13 nan
nan 7 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 13 13 14 14 14 14 15 15 16 18 19 20 20 20 20 18 17 16 15 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 14 14 15 15 15 14 13 12 12 12 15 16 15 13 11 9 9 10 11 11 11 12 13 15 17 19 19 19 17 15 14 13 13 11 7 4 2 1 3 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 13 13 12 11 12 12 12 13 13 13 nan
nan 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 14 14 14 14 15 15 16 18 19 20 20 20 19 18 17 17 16 15 14 14 14 14 14 13 13 13 13 12 12 12 12 13 14 15 16 16 16 15 14 12 11 12 14 15 15 13 11 8 9 10 11 12 12 14 16 19 20 20 19 16 15 14 13 13 11 7 4 2 1 3 5 8 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 11 11 12 12 13 13 14 14 14 15 15 15 16 16 17 18 19 20 21 21 20 20 19 18 17 16 15 15 15 14 14 13 13 13 13 13 13 13 14 15 16 17 17 16 15 13 13 14 15 15 13 11 9 8 10 10 11 12 14 16 19 21 22 20 17 15 14 13 13 11 8 4 2 1 2 5 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 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 13 13 13 13 13 13 13 13 13 13 13 13 12 12 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 15 15 16 17 18 20 22 23 23 23 22 21 20 18 18 17 16 15 15 14 14 13 13 13 13 13 13 15 17 18 18 17 16 15 16 17 16 14 11 8 8 9 10 11 12 13 15 17 20 21 21 19 16 15 14 13 12 9 5 2 0 -0 3 6 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 10 10 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 12 13 13 14 15 17 19 21 23 24 24 23 22 21 20 19 18 17 16 16 15 14 14 13 13 13 13 13 14 17 18 18 17 17 17 19 19 17 13 9 7 7 9 11 12 12 13 15 16 17 18 18 18 17 16 15 13 11 8 4 0 -1 -0 4 7 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 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 13 13 13 13 13 12 12 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 8 9 10 11 12 11 10 10 9 9 9 9 10 11 12 13 13 13 12 11 10 10 10 11 12 13 14 16 17 19 21 23 23 23 22 21 21 20 19 19 18 17 17 16 16 15 14 14 13 13 14 15 16 16 16 16 18 19 19 17 14 10 8 8 10 12 13 14 14 14 14 14 16 18 20 20 18 16 14 11 8 4 0 -1 1 4 7 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 11 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 9 10 11 11 11 10 10 9 8 8 9 10 12 14 14 13 12 10 9 7 8 8 10 11 12 13 14 16 17 20 21 22 22 22 21 21 20 20 20 19 19 19 19 18 17 17 16 15 15 15 14 14 13 14 15 17 19 19 18 15 12 10 10 11 13 15 17 16 15 14 13 15 20 21 21 19 17 14 11 7 4 0 -0 2 5 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 12 13 14 12 10 9 7 6 7 8 9 11 12 12 13 14 16 18 20 21 20 20 20 19 20 20 20 20 20 20 19 19 19 19 18 17 17 16 15 14 13 14 16 18 20 21 19 16 11 9 9 10 14 17 19 19 18 17 15 16 18 19 19 18 16 13 10 6 2 -0 1 3 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 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 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 15 15 16 16 15 14 12 11 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 8 8 8 9 11 13 12 11 9 8 7 7 8 9 10 11 12 13 13 14 14 16 17 17 17 16 16 17 18 19 19 19 19 18 18 19 19 19 19 18 18 17 17 16 17 18 20 22 22 21 16 12 9 8 8 10 14 17 19 20 20 20 18 18 18 18 18 17 15 12 7 3 -1 -1 2 5 8 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 11 11 11 11 11 12 12 12 12 13 13 13 14 15 16 16 16 17 17 15 14 12 11 11 11 12 13 12 11 10 10 10 10 11 11 12 11 10 9 8 8 8 9 10 11 10 10 9 8 8 9 9 10 11 12 13 13 13 13 13 13 14 14 14 14 14 14 15 16 17 17 17 17 17 17 18 18 19 19 19 19 19 19 20 22 23 23 22 18 12 9 7 7 9 11 13 15 17 19 21 22 22 20 19 18 18 17 14 10 4 0 -2 0 4 7 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 10 10 11 10 10 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 13 13 13 13 13 13 14 15 15 16 16 16 15 15 14 13 11 11 11 12 14 15 15 13 12 11 11 11 11 12 12 11 11 10 8 7 7 7 8 8 9 9 9 9 8 9 10 10 11 11 12 12 12 12 11 11 11 12 12 12 13 13 13 13 14 14 15 15 15 15 16 16 17 18 19 19 20 20 21 20 21 22 22 21 16 10 8 8 8 10 11 12 13 15 18 22 24 25 23 21 19 17 15 11 7 2 -0 0 3 7 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 12 nan
nan 11 12 13 14 14 15 14 14 13 13 13 14 15 14 14 13 13 12 12 11 11 11 12 14 15 15 15 13 13 12 11 11 11 11 11 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 14 14 15 15 16 18 19 19 20 20 21 21 20 20 21 21 20 16 12 10 9 10 11 11 11 12 14 17 21 24 25 24 21 18 14 10 7 5 3 3 5 7 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 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 12 12 12 11 11 12 12 13 13 12 11 9 9 10 11 11 12 nan
nan 13 13 14 14 14 13 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 12 12 12 13 13 13 14 14 14 16 17 18 19 20 21 21 21 20 20 21 21 19 16 13 12 11 11 12 12 12 12 12 15 17 19 19 19 18 16 12 8 6 4 5 7 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 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 12 12 12 12 12 11 11 12 13 13 13 13 11 10 9 10 10 11 12 nan
nan 13 13 12 12 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 13 13 13 13 15 16 16 17 19 20 21 21 21 21 20 19 17 15 14 13 13 13 13 12 12 11 12 13 13 14 14 14 14 14 13 10 8 7 8 9 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 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 12 12 12 12 12 12 12 11 11 12 13 13 13 12 11 11 10 10 11 11 nan
nan 11 11 10 9 8 8 9 9 9 9 9 10 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 12 12 13 13 13 13 13 14 14 14 15 15 17 19 20 21 22 21 20 17 16 15 15 14 14 14 13 13 12 12 11 11 11 12 12 12 13 13 13 12 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 12 12 12 11 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 13 12 12 12 11 11 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 nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 12 19 24 30 38 44 46 55 68 81 93 102 112 125 138 146 153 166 183 205 237 346 459 676 938 1118 1054 777 443 202 135 79 48 31 21 15 15 9 18 31 40 45 50 50 45 38 35 37 38 41 47 56 60 66 71 75 76 75 74 71 67 63 62 61 60 59 57 52 40 30 20 12 5 1 0 0 0 0 0 0 0 0 0 2 6 12 21 29 35 32 28 25 23 22 22 21 19 17 17 15 14 12 10
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