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 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 7 8 10 12 15 16 16 15 14 13 13 12 11 11 10 10 10 10 9 9 8 8 8 8 8 8 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 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 10 11 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 6 6 7 nan
nan 8 8 7 8 8 8 8 8 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 8 9 13 16 19 19 17 14 12 12 11 11 10 9 9 9 9 9 8 8 7 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 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 10 10 11 10 10 9 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 9 10 11 12 12 12 11 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 6 5 6 nan
nan 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 9 12 16 20 21 19 15 12 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 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 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 10 11 12 12 12 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 6 5 5 6 nan
nan 10 8 8 7 7 7 6 6 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 11 15 20 22 22 18 13 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 6 5 5 6 6 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 7 5 4 5 7 nan
nan 12 10 8 8 7 6 6 6 5 5 7 8 10 11 11 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 10 13 18 22 23 21 16 11 8 8 7 7 7 8 8 8 7 8 8 8 9 9 10 10 10 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 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 10 10 10 9 9 8 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 8 7 5 4 5 6 nan
nan 15 11 8 8 8 7 6 6 5 6 8 12 15 17 16 15 13 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 8 8 10 13 17 20 21 18 14 10 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 12 12 12 11 10 9 9 9 9 8 9 9 9 9 8 7 5 5 5 nan
nan 15 11 9 8 8 7 7 6 7 9 12 18 23 25 25 23 19 15 12 10 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 6 5 7 9 12 14 15 13 10 9 8 7 7 8 8 9 9 9 9 9 9 10 10 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 11 10 11 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 10 11 12 13 12 10 9 9 8 8 9 9 9 9 9 8 6 5 5 nan
nan 14 11 8 8 7 7 7 7 8 11 16 22 27 30 29 27 23 19 14 11 10 9 8 8 7 7 8 9 10 10 11 11 10 9 7 6 4 3 3 4 6 8 9 9 8 7 7 7 7 8 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 10 11 12 13 11 10 9 9 9 9 9 9 9 9 8 7 6 6 nan
nan 13 10 7 6 6 6 6 7 10 14 18 20 22 24 24 24 23 19 15 13 11 10 10 9 8 8 9 10 12 12 12 12 11 9 7 6 4 3 2 2 3 5 7 7 7 7 7 7 7 8 10 11 12 12 13 13 13 14 13 13 12 12 12 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 9 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 13 13 11 10 9 9 9 9 9 9 8 8 6 5 6 nan
nan 12 8 5 4 3 4 6 9 13 17 18 16 14 14 15 17 18 17 15 14 13 13 12 11 10 10 10 11 12 12 12 12 11 10 8 7 6 5 4 4 5 6 7 8 8 8 8 8 8 9 10 11 13 14 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 10 12 12 12 11 10 10 10 10 9 9 9 8 6 5 6 nan
nan 10 6 3 2 3 5 9 14 18 19 17 13 10 9 10 12 14 14 14 14 14 14 14 13 12 11 10 10 10 10 10 11 11 10 10 9 8 8 7 8 8 9 9 10 10 10 10 10 10 11 11 12 13 14 14 14 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 9 10 11 11 12 12 11 10 9 9 9 9 8 7 6 6 nan
nan 7 4 2 2 3 7 14 18 20 17 14 10 8 8 9 10 11 11 12 12 13 13 13 13 12 11 10 9 8 9 9 10 10 10 10 10 9 9 10 11 11 12 12 12 12 11 12 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 10 12 12 11 10 10 9 9 8 8 8 8 7 nan
nan 5 3 1 0 2 7 14 19 18 13 10 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 9 9 9 9 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 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 9 9 9 9 9 10 11 11 11 10 10 10 9 8 9 8 8 8 nan
nan 6 4 1 0 1 4 10 13 12 9 8 7 7 8 7 6 6 7 7 7 7 8 7 7 7 8 10 13 16 17 16 14 12 11 10 10 10 11 12 13 14 14 13 13 13 13 14 14 13 13 12 12 11 11 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 10 10 10 10 10 10 10 9 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 11 12 11 10 10 9 9 9 9 9 9 9 nan
nan 8 7 5 3 1 2 5 8 8 8 8 9 9 9 8 6 6 6 6 6 7 7 6 6 6 7 10 15 20 23 22 17 14 12 11 10 10 11 12 13 13 13 13 13 13 13 14 14 13 13 12 11 10 10 9 9 8 8 7 8 8 9 9 9 9 10 10 9 9 9 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 9 9 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 9 9 9 8 8 9 9 9 9 9 10 9 9 9 8 8 8 9 9 10 11 12 11 10 9 9 9 9 9 9 8 8 nan
nan 9 10 9 7 5 4 4 7 9 12 14 15 14 13 11 9 8 7 7 7 8 9 9 9 9 9 11 15 19 22 21 18 15 12 11 10 10 11 12 13 13 13 13 13 13 13 13 13 13 12 12 11 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 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 9 10 10 10 9 8 8 8 9 9 10 11 11 11 10 9 9 9 10 9 9 8 8 nan
nan 9 11 11 10 9 8 8 11 16 20 22 23 21 17 15 13 11 9 8 8 9 11 12 12 12 12 12 14 17 19 18 15 13 11 10 10 10 10 11 12 13 14 14 14 14 13 13 12 12 12 11 10 8 7 7 7 8 9 11 12 12 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 10 11 10 10 9 9 9 10 10 9 9 9 nan
nan 9 10 11 11 10 11 13 17 22 27 29 28 24 19 16 13 11 9 9 9 10 11 13 13 13 13 13 14 16 17 16 13 11 10 10 9 10 10 10 11 13 14 15 14 14 13 13 12 12 11 10 8 7 6 6 7 9 12 15 16 16 14 12 11 10 9 10 10 10 10 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 10 10 10 10 10 9 9 9 8 8 7 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 10 10 9 9 nan
nan 8 8 9 10 10 12 16 21 26 30 30 27 22 18 15 12 10 9 9 9 10 10 11 12 12 12 12 15 18 19 17 14 11 9 9 9 9 9 10 11 12 13 14 14 14 14 13 13 12 10 8 6 6 6 6 8 11 15 18 19 18 16 13 11 10 10 10 10 10 10 10 10 10 10 9 9 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 9 10 10 10 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 9 10 11 11 10 10 9 9 9 10 10 9 9 nan
nan 6 6 6 7 7 10 16 21 26 28 26 22 19 16 12 10 9 9 9 9 9 9 10 10 10 11 12 16 20 19 17 13 10 8 8 8 9 9 9 10 11 13 14 14 14 14 14 14 12 10 7 5 4 5 6 9 13 18 19 19 17 16 14 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 7 7 7 7 8 8 9 10 10 10 9 9 8 9 9 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 8 9 10 10 10 10 9 9 9 9 10 10 9 9 nan
nan 6 5 4 4 5 7 13 19 23 25 21 17 14 12 10 9 8 8 8 8 9 9 9 9 9 10 12 17 19 18 15 11 7 7 7 8 9 9 9 10 12 13 14 14 14 14 14 14 12 9 7 5 4 4 7 10 16 19 19 18 16 14 13 13 12 12 11 11 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 9 10 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 nan
nan 8 6 5 4 4 6 11 16 20 21 18 14 12 10 9 8 8 8 8 8 9 9 9 9 8 9 12 16 18 16 12 8 5 6 7 8 9 9 10 11 12 14 14 14 14 14 14 13 11 9 7 5 4 5 8 12 17 20 19 17 14 13 13 13 13 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 11 10 11 10 10 9 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 nan
nan 10 8 7 7 7 8 11 15 17 17 16 13 11 9 8 8 8 8 8 8 9 9 8 7 6 8 12 15 17 15 11 6 5 6 7 8 9 9 10 11 13 14 14 15 14 14 13 12 10 8 7 6 6 7 10 14 18 19 18 16 14 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 8 9 10 10 10 9 8 7 8 9 9 9 nan
nan 10 9 9 9 10 11 12 14 15 14 13 11 10 9 9 8 8 7 7 7 8 8 7 6 6 9 13 16 16 14 10 7 6 7 8 9 9 10 10 11 12 13 14 14 14 14 13 11 9 8 8 8 8 10 12 15 17 17 17 15 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 8 8 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 11 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 10 10 9 9 9 9 9 10 10 9 9 8 9 9 10 10 9 8 7 8 9 9 9 nan
nan 9 9 8 9 10 12 14 15 14 12 11 10 10 9 9 9 8 7 6 6 6 6 5 5 8 12 15 15 14 12 9 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 12 11 10 9 9 10 11 13 14 14 14 14 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 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 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 8 nan
nan 9 9 9 9 11 13 15 15 14 13 12 10 10 9 9 9 8 7 5 4 2 1 1 5 11 15 16 14 11 8 8 8 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 11 12 13 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 12 13 13 12 12 11 11 11 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 10 10 9 9 9 9 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 nan
nan 9 10 10 11 12 13 14 13 12 11 11 10 10 9 9 8 7 6 4 1 -1 -1 3 10 16 17 16 12 8 6 7 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 12 13 13 13 12 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 13 13 13 12 12 11 11 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 10 10 11 12 12 11 10 9 8 8 9 9 10 10 10 10 10 10 11 10 10 9 8 8 9 9 9 8 8 9 9 10 10 10 10 9 8 7 nan
nan 9 10 11 12 13 14 14 13 11 9 8 8 8 8 7 6 6 5 2 -0 -1 1 9 17 19 18 14 10 7 7 7 9 10 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 11 10 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 13 13 13 13 12 12 11 10 10 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 8 9 9 9 8 8 9 10 11 12 12 11 10 8 8 nan
nan 9 9 9 10 12 14 18 18 15 11 8 6 6 6 5 4 4 3 1 -1 1 6 15 20 19 16 13 10 8 8 9 10 10 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 10 10 10 9 9 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 12 12 13 13 12 12 12 11 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 9 8 8 8 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 9 9 9 10 11 12 12 13 12 11 10 9 nan
nan 9 8 8 9 11 17 23 25 22 17 12 7 5 4 3 2 2 3 3 2 4 9 15 17 16 13 11 10 9 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 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 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 13 13 13 13 12 11 9 nan
nan 10 9 10 12 15 21 26 28 26 22 16 9 5 2 -0 1 3 5 7 7 8 11 12 13 12 10 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 12 11 11 11 11 11 12 12 12 12 13 13 14 14 14 13 12 11 10 nan
nan 11 13 16 19 21 23 24 24 22 20 15 9 3 -0 -1 1 6 10 13 13 11 11 10 10 9 8 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 9 9 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 13 14 14 14 13 12 12 12 nan
nan 11 15 20 24 23 21 19 18 17 15 12 7 1 -1 -1 3 8 13 16 15 13 11 10 9 8 8 10 11 12 12 11 11 10 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 12 12 11 11 10 9 9 10 11 11 11 12 12 12 13 13 13 13 13 nan
nan 11 14 19 22 20 17 15 14 13 11 9 6 2 1 1 4 8 13 14 14 12 10 9 9 9 9 10 11 11 12 12 11 11 10 10 9 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 12 11 10 10 10 10 11 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 11 12 12 13 12 12 11 10 10 9 10 10 10 10 10 11 11 12 12 13 13 nan
nan 9 11 13 15 15 14 13 12 11 10 8 6 4 3 4 5 8 10 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 9 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 10 10 10 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 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 9 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 10 10 10 10 11 12 13 13 13 12 12 11 10 10 9 9 10 10 10 10 11 11 12 12 12 nan
nan 7 8 9 10 11 11 11 10 10 9 8 7 6 6 6 7 8 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 10 11 11 11 10 10 10 9 9 9 10 11 10 10 10 11 11 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 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 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 nan
nan 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 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 11 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 11 11 11 10 10 10 10 10 10 10 11 11 11 12 nan
nan 13 16 15 12 10 9 9 9 10 10 9 9 9 8 8 7 7 8 8 8 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 17 21 22 19 15 12 10 10 11 11 11 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
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nan 14 15 15 15 16 16 16 17 17 17 18 18 18 18 17 17 16 16 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 11 11 11 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 8 8 8 9 11 12 14 14 12 11 11 10 10 10 10 10 7 3 -0 -3 -0 7 13 20 23 21 16 12 10 10 10 11 11 11 11 11 11 11 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 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 nan
nan 14 15 15 16 16 17 17 17 18 18 18 18 18 18 17 16 15 15 15 15 15 14 14 13 13 12 12 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 9 9 8 7 8 10 11 13 13 13 12 11 10 10 10 10 10 10 9 6 2 -1 -0 5 10 17 22 20 17 12 10 10 10 11 11 11 11 11 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 11 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 15 15 15 16 17 17 17 18 18 18 18 18 17 17 16 15 14 14 14 14 15 15 15 14 13 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 10 10 10 9 8 7 7 9 11 13 14 14 13 12 11 10 9 9 10 10 10 10 8 4 1 1 4 9 16 21 19 16 12 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 nan
nan 15 15 15 16 16 17 17 17 17 17 17 17 16 15 14 13 13 13 14 15 15 15 15 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 9 7 6 7 10 12 15 16 14 13 12 10 9 9 9 10 10 11 10 9 5 3 2 5 11 17 20 17 15 12 10 10 10 11 11 11 11 11 11 10 10 10 10 10 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 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 16 16 16 16 16 17 17 17 17 16 16 15 14 14 13 13 13 13 14 15 15 15 15 14 14 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 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 9 8 7 7 7 8 8 9 9 9 9 10 10 10 9 9 10 10 9 8 6 6 7 9 12 15 15 14 12 11 10 10 9 9 10 10 10 10 8 5 3 3 7 14 19 19 16 13 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 nan
nan 16 16 16 16 16 16 16 16 16 15 14 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 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 10 10 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 7 8 10 12 13 13 12 11 11 10 10 10 9 10 10 9 8 6 4 4 8 14 17 17 15 13 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 10 10 10 10 10 nan
nan 16 16 15 15 15 15 15 15 14 14 13 13 12 12 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 7 8 8 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 7 7 8 9 10 11 11 11 11 10 10 10 10 10 9 9 8 7 7 6 8 11 13 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 nan
nan 15 15 15 15 14 14 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 12 12 12 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 10 10 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 7 5 5 6 8 11 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 15 15 14 14 13 13 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 10 10 9 9 8 8 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 9 8 7 7 7 8 8 8 9 10 10 10 7 4 2 2 5 11 15 16 15 13 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 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 10 10 nan
nan 15 15 15 14 14 13 12 12 11 11 11 11 11 11 12 12 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 14 14 14 13 12 10 9 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 7 7 7 8 9 10 8 5 2 -1 1 7 14 20 20 18 14 11 11 10 11 11 11 11 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 11 10 10 10 11 12 13 14 14 15 16 15 14 13 11 10 9 9 9 9 9 11 12 12 12 12 11 11 11 11 10 10 9 9 8 7 6 6 7 8 8 6 2 0 -1 4 12 18 22 21 18 14 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 14 14 14 14 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 13 13 14 13 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 9 9 8 7 8 9 10 11 11 12 14 15 15 15 14 13 11 10 9 8 8 9 11 13 13 13 12 11 11 11 10 10 10 9 9 8 7 6 5 5 6 6 4 2 1 2 9 16 19 21 19 16 13 11 11 11 11 11 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 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 10 10 10 10 10 10 10 10 nan
nan 15 15 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 12 12 13 13 14 14 14 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 9 8 7 6 6 6 7 7 7 8 9 11 12 13 13 13 12 11 10 9 9 9 10 11 12 13 12 12 11 11 10 10 10 9 9 9 8 6 5 4 4 4 4 3 3 4 7 13 18 20 20 17 14 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 15 15 15 14 14 14 14 13 13 12 12 12 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 7 8 8 9 9 10 9 8 7 7 7 7 7 6 6 6 6 7 8 9 9 10 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 8 7 5 4 3 3 4 4 4 6 11 16 19 20 19 16 13 11 11 11 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 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 10 nan
nan 15 15 15 15 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 12 12 13 12 12 11 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 8 7 7 7 9 10 11 11 11 10 10 10 10 9 8 6 5 4 3 4 4 4 6 9 13 18 20 20 17 13 12 11 11 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 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 10 nan
nan 15 15 15 15 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 10 9 9 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 11 11 10 9 8 8 7 9 11 12 12 11 11 11 11 10 9 7 5 4 4 4 4 4 5 7 11 15 18 19 18 14 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 nan
nan 16 15 15 15 15 15 15 15 14 14 13 12 12 13 13 13 14 14 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 10 9 9 10 11 12 14 13 13 12 11 11 10 10 10 10 11 11 11 10 10 9 9 10 12 12 12 12 12 12 11 10 8 6 4 3 3 4 4 5 6 9 13 15 18 17 15 13 11 11 11 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 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 10 10 10 nan
nan 16 16 16 15 15 15 15 15 15 14 13 13 13 13 14 14 15 14 14 14 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 12 11 11 11 11 11 11 13 14 16 17 17 17 16 14 13 12 12 12 12 12 12 11 11 10 9 10 11 12 13 13 12 12 12 10 8 6 4 3 3 4 4 4 5 7 10 13 15 16 15 13 12 12 11 11 10 10 10 10 10 10 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 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 15 15 15 15 15 15 15 15 15 14 13 13 14 14 15 15 15 14 13 13 12 11 11 10 10 10 10 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 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 13 15 16 18 18 18 17 16 14 13 12 13 14 14 14 12 11 10 9 8 9 11 12 12 12 12 11 10 9 7 5 4 4 4 4 4 5 5 8 10 12 14 14 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 nan
nan 15 15 15 14 14 15 15 15 16 16 15 14 14 14 14 14 14 14 13 13 12 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 14 14 15 15 15 15 13 11 10 10 11 12 12 12 10 9 8 7 8 9 10 11 11 12 11 10 8 7 5 5 4 4 4 4 5 5 6 8 10 12 13 13 12 12 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 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 10 10 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 16 16 16 16 16 17 17 18 18 18 17 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 10 11 12 12 11 11 10 10 10 11 11 11 12 13 13 12 12 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 12 12 12 11 9 8 8 8 8 9 8 8 8 7 7 8 9 10 10 11 10 9 7 6 4 4 4 4 4 4 5 5 6 7 9 11 12 13 13 12 11 11 11 11 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 18 18 18 18 18 18 19 19 19 19 19 18 18 17 16 15 13 12 12 11 11 10 10 10 10 10 11 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 11 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 8 7 7 7 9 10 11 11 9 7 5 4 3 4 4 5 5 6 6 7 9 10 12 14 14 13 12 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 10 10 10 11 11 11 11 11 11 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 11 11 11 11 11 10 nan
nan 19 19 19 18 18 18 17 17 17 18 18 19 19 19 18 17 15 13 12 11 10 10 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 9 10 10 9 9 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 10 10 9 9 9 10 11 12 14 14 15 14 12 9 6 6 6 8 10 12 12 11 9 8 7 6 6 6 6 7 7 8 9 10 12 13 14 13 13 12 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 10 10 10 10 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 19 18 17 17 16 15 14 14 14 15 16 16 17 17 17 16 14 13 12 10 10 11 12 13 13 12 12 11 11 11 11 12 12 12 11 11 11 12 12 12 11 10 9 8 9 10 11 12 13 13 13 12 10 9 8 9 9 10 10 10 10 10 9 10 10 10 11 12 12 12 12 12 11 10 10 9 9 10 10 10 10 11 12 13 15 16 16 16 13 10 6 5 5 6 8 11 12 13 13 13 11 10 9 9 8 8 8 9 9 10 12 13 13 13 13 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 10 10 10 11 11 11 11 11 11 11 11 11 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 nan
nan 17 16 15 14 13 12 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 13 13 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 10 11 11 12 12 11 10 9 8 8 10 10 10 11 11 11 10 9 8 8 9 10 12 14 15 16 16 14 13 11 10 10 10 10 10 10 11 11 12 13 13 13 12 9 5 4 4 5 7 9 11 12 13 14 14 13 12 11 10 10 10 10 10 11 12 13 13 13 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 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 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 nan
nan 15 14 13 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 10 10 9 9 8 9 11 11 11 11 11 11 10 9 8 7 8 10 12 13 15 16 17 15 14 13 11 11 11 10 10 10 10 10 10 11 12 12 12 8 4 3 3 5 8 10 10 11 12 13 14 14 13 12 11 11 11 12 12 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 10 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 12 12 12 11 11 11 11 10 10 9 9 10 10 10 10 11 11 11 nan
nan 14 12 11 10 9 9 9 9 9 9 8 7 7 8 9 9 10 10 11 13 13 12 11 10 9 9 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 11 11 12 12 11 11 10 9 8 8 8 10 11 12 13 14 15 14 14 13 12 11 11 11 10 10 9 9 10 12 14 15 14 10 6 5 4 6 9 10 10 11 11 12 13 14 14 14 14 14 14 14 14 14 13 13 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 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 12 12 12 11 12 11 11 11 10 10 10 11 12 12 11 11 11 11 11 nan
nan 14 12 11 10 10 9 10 11 11 10 9 8 7 7 8 9 10 11 12 13 13 12 12 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 9 9 11 12 13 14 14 11 8 7 6 7 9 10 10 11 11 12 13 14 15 15 16 16 16 16 15 13 12 11 11 11 11 11 10 10 10 10 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 11 11 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 12 13 14 14 13 12 11 11 11 nan
nan 14 13 12 11 11 11 12 12 13 12 11 9 8 8 9 10 10 12 13 13 13 13 13 13 12 12 12 12 11 11 10 10 10 11 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 12 11 10 8 8 8 9 10 10 10 11 11 12 12 13 13 14 14 15 15 15 14 13 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 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 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 13 13 12 12 11 11 11 nan
nan 15 14 14 14 13 13 13 13 14 14 14 12 10 9 10 10 11 12 13 14 14 14 14 14 13 13 12 12 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 7 8 10 11 12 16 20 22 24 26 26 26 25 24 23 29 31 30 27 24 23 21 20 19 18 14 9 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 7
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