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 7 7 8 8 6 6 6 6 6 6 5 4 4 5 5 6 5 5 5 6 6 6 6 6 6 7 7 8 9 9 8 8 7 7 7 7 7 7 8 9 9 9 10 10 10 11 11 11 10 9 8 6 5 6 7 8 8 8 8 7 6 6 6 7 8 8 8 8 7 7 8 8 8 7 6 6 6 7 7 9 12 14 15 13 11 10 10 9 9 8 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 6 5 5 6 6 5 5 5 5 5 6 6 6 6 6 nan
nan 6 6 7 7 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 6 7 7 7 7 8 8 9 9 9 8 8 8 7 7 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 8 8 8 8 9 9 8 8 7 6 5 5 6 6 6 8 9 9 8 8 8 7 7 7 7 6 7 7 9 11 14 16 15 13 11 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 6 5 5 5 5 5 6 6 6 6 6 nan
nan 7 6 6 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 10 11 12 12 11 11 10 10 10 10 9 8 7 6 6 5 5 6 8 10 10 9 8 7 6 6 5 5 6 6 7 8 10 12 15 16 14 13 12 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 6 6 6 6 6 6 5 6 5 5 5 5 5 5 nan
nan 7 6 6 7 7 6 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 10 9 10 11 12 12 12 12 11 11 11 10 10 9 9 8 8 7 7 8 9 9 9 8 7 7 6 5 4 5 5 6 6 7 8 10 14 16 16 15 13 12 12 11 10 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
nan 6 5 5 6 6 6 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 7 8 8 9 9 9 10 10 10 11 10 10 9 9 10 10 10 9 9 8 8 8 7 6 6 7 8 7 7 6 5 5 5 6 7 7 9 12 16 18 19 17 15 13 12 11 10 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
nan 5 4 5 6 7 6 6 7 7 7 7 6 7 7 7 7 7 7 8 8 7 7 6 6 6 6 7 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 6 5 6 6 7 7 7 7 7 8 8 8 8 8 9 10 11 10 9 8 8 7 7 6 6 7 9 9 9 8 7 6 5 5 6 7 7 9 11 14 18 20 21 19 17 15 13 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 nan
nan 5 4 5 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 5 5 6 7 8 9 9 9 8 8 8 9 9 10 10 10 9 9 8 7 6 5 5 5 6 6 6 6 5 5 6 7 7 8 8 9 10 10 9 8 7 7 7 7 9 10 11 10 10 10 9 8 6 6 6 7 7 8 9 11 13 17 21 22 21 18 16 15 13 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 nan
nan 8 6 5 5 7 7 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 6 7 8 9 10 11 11 10 10 9 9 10 10 10 9 9 8 8 8 7 6 6 6 7 7 7 6 6 5 5 6 7 8 8 9 9 10 9 9 8 7 6 6 9 11 12 11 10 10 10 9 8 7 7 7 7 7 7 8 10 13 17 21 23 23 22 20 18 15 13 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 6 5 6 7 8 8 7 7 7 6 6 7 8 8 8 8 7 7 7 8 9 9 9 9 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 6 5 6 8 10 11 11 10 10 9 9 7 7 7 7 6 7 7 8 9 12 15 20 23 25 25 24 20 17 14 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 7 6 6 7 8 8 8 8 7 7 6 6 7 8 9 9 8 7 7 8 9 10 11 11 10 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 10 10 9 9 8 8 7 7 8 9 10 10 9 7 5 4 5 8 10 10 10 9 9 9 8 8 7 6 5 6 7 8 8 9 11 13 16 20 23 25 24 21 17 15 13 12 10 9 9 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 9 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 10 11 10 10 9 9 10 10 9 8 7 7 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 8 8 9 8 6 4 4 6 8 9 9 9 9 9 9 8 8 6 6 6 7 8 8 8 9 10 11 12 16 20 23 23 21 18 15 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 7 7 7 6 6 6 7 8 9 9 8 7 7 7 7 7 8 8 7 6 5 5 6 7 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 10 15 20 24 25 23 19 15 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 6 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 9 10 11 11 11 11 11 10 10 9 8 7 7 7 7 7 8 7 7 7 8 8 8 8 7 7 7 8 8 7 6 6 6 8 8 9 9 8 8 8 7 7 8 8 9 8 6 5 6 8 9 10 10 10 10 10 9 8 7 6 7 7 8 8 7 8 8 9 9 11 15 19 24 26 24 20 17 14 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 4 6 7 7 7 7 8 8 8 9 9 8 8 7 7 6 6 7 7 8 8 9 11 12 12 12 12 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 9 9 9 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 7 9 10 11 12 12 12 11 10 9 7 6 6 6 6 6 6 7 8 9 9 9 10 13 18 23 26 25 22 18 14 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 4 5 6 7 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 9 10 11 12 13 12 11 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 9 10 10 9 8 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 9 9 9 9 10 10 10 9 9 9 8 7 6 6 5 4 4 5 7 8 8 8 8 9 12 16 22 25 25 21 17 14 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 5 6 6 6 6 7 7 8 8 9 9 8 7 7 8 9 9 10 11 12 13 13 12 11 10 9 8 8 8 7 7 8 9 8 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 7 7 6 6 7 8 8 8 7 7 6 6 5 5 5 5 6 6 7 7 8 9 11 15 20 24 23 19 15 13 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 7 6 5 6 7 7 7 7 8 8 8 8 9 9 8 8 9 9 10 12 13 14 13 12 11 9 9 8 8 9 8 7 6 7 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 10 10 9 6 5 6 7 8 8 7 7 7 7 7 6 5 5 5 5 5 5 6 7 8 10 15 20 22 20 17 14 13 12 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 8 7 6 6 7 8 8 7 7 7 8 8 8 9 9 8 8 10 12 13 14 14 12 11 9 9 9 8 8 9 9 8 6 6 7 7 8 8 8 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 12 12 12 9 7 7 7 8 8 9 9 9 9 9 7 6 5 4 4 3 3 4 5 6 7 11 16 21 22 20 17 14 13 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 nan
nan 8 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 11 13 14 13 12 10 9 8 8 8 8 7 8 8 8 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 11 11 10 9 9 9 8 9 10 12 13 12 11 10 8 6 5 5 5 3 2 3 3 5 8 12 18 23 23 21 18 15 13 13 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 7 7 nan
nan 9 8 7 6 6 7 8 8 8 7 6 5 5 5 6 8 11 13 13 12 11 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 10 9 9 10 11 12 13 12 11 9 8 7 7 7 5 4 4 4 5 5 7 12 18 22 24 24 22 20 19 18 17 14 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 nan
nan 10 9 8 7 7 8 8 9 9 7 6 6 6 7 8 10 12 13 12 10 8 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 8 8 7 7 7 7 7 6 6 6 7 8 9 9 10 10 11 12 13 13 12 10 9 8 8 8 10 10 10 10 9 9 8 8 8 7 6 7 6 5 4 6 10 15 21 25 26 28 28 27 25 21 16 13 12 11 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 7 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 nan
nan 10 9 8 7 7 8 8 9 9 9 8 8 8 8 8 9 10 10 9 8 6 5 5 5 6 7 8 7 7 6 7 7 7 7 6 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 7 6 6 6 6 6 6 7 8 9 10 10 11 11 11 12 13 13 14 13 11 9 8 8 9 9 10 9 9 9 8 9 9 8 8 7 7 6 5 4 5 8 13 18 21 24 27 29 29 26 21 17 14 13 12 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 7 7 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 nan
nan 9 9 8 7 6 6 8 8 9 10 10 9 8 8 8 7 7 7 7 6 6 5 5 6 6 7 8 8 7 6 6 6 7 7 6 6 5 5 6 7 7 7 6 6 7 8 8 7 7 7 8 9 10 11 11 10 10 9 8 7 7 7 6 5 4 4 5 7 8 9 10 10 11 11 12 11 11 11 12 14 14 14 12 11 11 10 10 10 10 9 9 8 9 9 9 8 8 8 8 7 6 5 6 8 10 12 14 17 21 25 27 25 21 18 15 14 13 12 12 11 11 11 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 nan
nan 9 9 9 7 6 6 7 8 9 9 9 8 7 8 8 7 6 6 6 6 6 6 6 7 6 7 7 9 9 7 6 6 7 7 7 7 7 6 5 6 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 8 7 7 6 5 4 4 6 8 8 8 8 9 10 11 12 11 10 10 10 11 12 12 12 12 11 11 12 12 11 10 9 9 9 10 10 10 9 9 9 9 8 7 6 6 7 8 8 9 12 19 24 27 26 23 19 17 15 14 13 13 12 12 11 11 11 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 nan
nan 10 10 9 8 7 6 7 8 8 9 9 8 8 9 9 8 7 7 8 7 7 7 7 7 6 6 6 8 9 8 7 7 7 7 8 8 9 8 7 6 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 10 11 11 11 11 10 9 9 9 10 10 10 10 11 12 12 12 11 10 10 9 10 10 10 10 9 9 9 9 8 7 6 6 7 7 7 9 14 20 25 28 27 24 21 18 16 15 14 14 13 12 12 12 11 11 11 10 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 10 10 9 7 7 7 8 9 9 10 10 10 10 10 9 9 8 9 8 7 7 7 6 5 4 4 5 7 8 8 7 7 7 7 8 9 9 8 6 5 4 6 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 9 10 12 13 14 14 13 12 10 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 12 12 11 9 9 9 10 10 9 9 9 8 7 6 6 7 7 7 8 10 14 19 24 27 29 27 23 20 18 16 15 14 13 13 13 12 12 12 11 11 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 11 10 8 6 7 8 8 10 11 11 11 12 11 10 8 8 8 8 7 7 6 6 5 4 3 4 5 6 6 5 5 5 5 5 7 8 8 6 5 3 4 6 7 8 9 11 12 11 10 10 9 9 8 7 8 8 9 10 12 14 16 17 17 16 15 13 12 10 8 7 6 7 9 10 10 10 9 9 9 9 9 9 9 8 9 9 10 12 13 13 12 10 8 8 9 9 10 9 9 9 8 8 7 7 7 7 7 7 9 12 16 22 27 29 28 25 23 21 20 18 17 15 14 13 13 13 12 12 11 10 10 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 11 11 9 7 7 7 7 9 10 11 11 11 11 9 7 6 7 7 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 6 7 8 8 7 6 6 7 8 9 10 11 12 10 8 7 7 6 6 6 7 9 10 12 13 14 15 16 17 17 17 16 15 13 10 7 5 6 8 9 10 9 9 9 9 9 9 9 9 8 7 7 8 9 11 12 12 11 10 9 9 9 10 9 9 9 10 9 9 7 6 6 6 6 6 7 9 13 18 24 27 29 28 28 28 28 26 23 19 16 14 14 13 13 12 12 11 10 10 9 8 8 7 7 7 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 10 9 8 7 6 6 7 8 9 10 10 10 8 6 5 5 6 6 5 5 6 6 7 7 7 7 6 6 5 4 4 4 4 5 7 8 9 9 8 8 8 8 9 10 10 9 7 5 4 4 3 4 5 7 9 10 12 13 14 15 16 17 17 17 17 17 15 14 11 9 8 8 10 10 10 10 9 9 9 9 10 10 9 7 6 6 7 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 7 6 5 5 5 4 4 5 7 11 16 20 25 28 29 30 33 34 31 25 20 17 16 15 14 14 13 13 12 11 10 10 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 8 7 6 6 6 6 8 9 9 9 8 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 9 9 8 8 9 9 10 9 7 5 3 2 2 3 4 6 7 8 9 10 12 14 16 17 17 18 18 18 18 17 17 16 13 11 10 10 11 11 10 10 10 9 9 10 10 10 9 7 7 7 7 9 10 11 12 13 13 12 11 10 9 8 8 8 8 8 7 6 5 5 4 4 5 6 8 10 12 16 19 21 22 25 28 29 26 22 19 17 16 15 15 15 14 13 13 12 11 10 10 9 8 7 7 7 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 10 9 9 10 10 9 8 7 6 6 6 7 8 9 10 10 8 5 4 5 7 8 9 10 10 10 10 10 10 10 10 9 9 8 6 4 4 5 6 7 8 8 9 9 9 10 10 10 7 4 2 2 3 4 6 7 8 8 8 8 9 11 13 14 15 16 17 17 18 19 20 19 17 14 11 11 11 11 11 11 11 10 9 9 10 10 10 9 7 6 7 8 9 10 11 12 13 13 12 12 11 9 8 7 8 8 8 7 6 5 5 4 5 5 7 7 8 9 10 12 13 14 16 18 20 19 18 17 17 16 16 15 15 14 14 13 13 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 10 10 10 10 10 10 9 8 8 6 6 6 7 9 10 10 9 7 5 6 7 9 11 12 12 11 11 11 10 10 10 10 9 9 7 5 4 4 5 6 7 8 9 10 11 12 12 12 10 7 4 3 4 6 7 8 8 8 7 6 6 7 8 10 12 14 15 15 16 18 19 19 18 16 13 11 11 10 10 11 11 10 9 8 9 10 11 10 8 6 7 7 8 9 9 10 11 12 12 12 12 11 9 9 9 9 9 8 8 7 6 5 4 4 5 7 7 7 7 8 9 10 11 12 13 15 15 16 16 16 16 15 15 15 14 14 14 13 13 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 10 10 9 10 10 10 10 9 8 7 6 7 7 8 9 10 10 8 6 6 7 8 10 11 12 12 11 11 10 10 10 10 10 9 8 7 6 5 5 5 6 7 8 10 12 13 14 14 12 9 7 6 6 7 7 7 7 6 6 6 5 6 6 7 9 11 12 12 13 13 14 14 15 14 13 12 11 9 9 9 9 9 9 9 9 10 11 10 9 7 7 8 8 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 8 8 8 6 5 4 4 5 6 7 7 8 8 10 11 12 13 15 15 15 14 14 15 15 14 14 14 14 14 14 14 13 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 10 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 8 7 7 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 8 7 5 4 4 5 7 8 10 12 13 13 13 11 10 8 7 7 6 5 4 5 5 6 6 6 6 6 7 8 8 8 8 7 8 8 9 10 11 11 11 10 9 8 7 8 9 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 6 4 3 4 5 6 7 8 9 12 15 17 19 21 21 18 16 14 13 13 13 13 13 13 13 14 14 14 14 13 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 11 11 11 11 11 11 11 11 10 10 9 8 8 6 4 3 4 5 6 7 9 10 11 12 12 11 9 7 5 4 3 3 3 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 9 10 10 10 9 8 8 8 9 9 7 7 8 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 10 10 10 9 9 8 8 7 6 4 3 4 5 6 8 10 14 19 22 23 24 26 25 22 18 15 13 12 12 12 12 12 12 13 13 14 14 14 13 12 12 11 10 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 nan
nan 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 10 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 7 5 4 4 5 5 6 7 8 10 11 12 12 9 6 4 4 3 2 2 2 4 5 5 5 5 5 4 3 3 4 6 7 7 7 7 7 8 9 9 9 9 7 7 7 8 8 7 7 8 8 8 7 7 8 8 8 7 8 9 11 12 12 12 11 10 10 10 10 9 9 9 8 8 8 7 6 5 4 4 6 8 10 13 15 17 18 21 24 28 27 24 19 14 12 12 11 11 11 11 11 12 13 13 13 13 13 13 12 12 11 10 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 nan
nan 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 8 6 4 4 5 6 8 8 9 11 12 13 11 8 6 5 4 2 1 2 3 4 4 4 4 3 3 3 4 6 8 10 10 9 7 7 8 8 8 8 7 6 6 6 7 8 9 8 8 7 6 5 5 5 6 7 7 7 8 10 11 12 12 12 11 10 10 10 9 9 9 8 8 8 8 8 7 5 5 7 8 8 9 9 9 11 13 17 22 26 27 23 17 14 12 12 11 11 10 10 11 11 12 12 13 13 13 13 13 12 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 10 10 9 9 10 10 10 10 11 11 12 11 9 8 7 7 7 7 7 8 9 10 11 11 12 12 10 7 4 4 5 5 4 4 4 4 4 5 7 9 10 9 8 8 8 8 9 10 9 10 11 10 9 8 7 7 8 9 9 8 8 7 5 5 4 4 4 4 4 5 7 9 10 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 8 9 9 9 8 7 5 4 2 -0 -0 4 10 15 15 14 14 13 12 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 6 7 8 9 10 10 10 10 10 10 10 8 8 9 10 11 12 10 9 8 8 7 7 7 8 9 9 10 11 12 12 9 7 6 6 5 4 3 4 3 4 4 5 6 7 7 7 7 8 8 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 10 9 9 9 8 6 5 4 5 6 7 9 9 10 11 11 11 11 12 12 11 11 10 9 9 9 10 9 9 9 9 10 9 7 5 1 -3 -5 -4 -0 5 9 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 12 12 13 13 13 13 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 12 12 12 11 11 10 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 9 9 10 9 9 7 6 4 4 4 5 6 7 9 10 10 9 8 6 5 7 9 11 12 12 11 11 10 10 10 9 10 10 9 10 10 10 12 13 13 13 12 12 11 11 10 10 11 12 13 15 16 16 16 15 14 13 11 11 11 12 14 14 14 15 15 16 17 15 12 9 7 8 10 14 17 20 21 21 22 23 23 21 19 17 15 14 13 13 12 12 12 11 11 11 11 11 12 12 11 11 11 11 10 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 12 11 11 12 12 11 11 10 9 8 7 7 8 11 12 13 12 11 11 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 12 14 15 16 15 13 12 11 11 11 10 11 11 12 12 12 13 14 15 14 13 11 10 10 12 13 15 15 15 15 15 15 16 16 13 8 3 0 -0 1 3 6 9 12 16 19 19 17 16 15 15 14 13 13 12 12 12 11 11 11 12 12 12 11 11 11 11 11 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 11 12 13 13 12 13 13 13 13 13 13 13 12 10 10 10 11 12 12 12 12 13 15 16 15 13 12 11 11 11 11 11 10 10 11 11 12 12 12 11 12 14 15 16 15 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 11 13 14 15 15 15 17 20 23 24 23 17 12 8 6 5 6 8 9 10 11 14 14 15 14 14 14 13 13 13 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 nan
nan 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 8 8 7 8 9 9 9 11 12 13 13 13 13 13 13 13 13 13 12 12 12 11 10 11 11 11 12 14 15 16 16 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 15 14 13 12 13 13 13 12 12 12 11 11 10 10 10 9 10 11 11 10 9 8 8 9 11 13 14 14 16 18 22 26 30 31 29 26 24 23 23 23 21 19 18 19 20 20 19 17 16 15 14 13 13 13 14 17 19 19 17 14 13 13 12 12 12 11 10 nan
nan 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 9 8 6 4 3 2 2 4 5 6 6 7 8 11 12 13 13 12 12 11 11 10 11 12 12 12 11 11 11 12 13 14 14 13 12 12 12 11 11 12 12 12 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 13 13 12 12 12 11 10 10 10 9 9 9 10 10 10 10 9 8 7 8 10 12 12 12 13 16 19 23 27 30 31 31 32 32 33 31 30 30 30 30 30 29 28 25 22 20 18 16 16 17 21 24 24 22 18 15 13 13 13 12 12 11 nan
nan 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 10 8 5 3 0 -2 -3 -4 -5 -5 -4 -3 -3 -3 0 5 9 12 13 12 11 10 10 10 12 13 13 13 12 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 10 11 12 11 10 9 8 8 9 10 10 11 11 13 14 16 19 21 23 24 24 25 25 25 26 28 30 31 33 34 33 30 28 27 25 22 18 17 19 23 23 21 18 16 14 14 13 13 12 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 10 6 3 0 1 2 4 6 8 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 14 13 10 7 3 1 -0 -1 -1 -1 -2 -3 -5 -7 -9 -10 -10 -8 -4 1 6 9 9 10 10 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 11 11 10 10 10 10 12 12 12 11 9 8 8 9 10 10 10 10 10 11 11 12 13 14 14 14 15 16 17 18 20 22 24 26 28 30 30 31 32 28 22 17 17 21 26 27 25 22 19 17 15 14 14 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 10 6 0 -4 -7 -7 -6 -3 -0 4 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 10 7 4 2 2 3 5 6 7 6 5 3 1 -2 -4 -7 -8 -10 -9 -6 -3 0 3 6 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 13 13 14 16 18 21 23 25 27 29 27 23 21 23 26 27 27 26 23 20 18 16 15 nan
nan 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 12 10 6 2 -2 -4 -5 -6 -6 -5 -4 -1 2 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 9 9 8 7 7 8 10 11 12 12 12 11 10 9 8 6 3 -1 -7 -12 -14 -13 -11 -8 -4 0 3 5 6 6 5 6 6 7 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 9 9 8 8 7 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 13 12 12 12 11 10 9 9 9 10 11 11 11 10 10 10 10 11 11 11 11 11 12 13 14 16 18 22 24 23 21 18 17 16 17 18 18 18 17 15 14 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 11 7 3 0 -0 1 2 1 0 -1 -2 -2 -1 2 5 7 7 6 7 7 8 8 8 8 8 7 7 8 8 9 10 10 11 11 11 11 10 9 9 10 12 14 16 17 18 18 18 18 17 15 14 13 12 11 10 7 3 -2 -7 -10 -12 -12 -11 -9 -7 -5 -2 1 3 5 5 5 5 6 7 8 9 10 11 11 10 10 10 10 11 10 10 9 7 5 5 6 7 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 13 12 10 9 9 9 10 12 13 12 12 11 10 10 10 10 10 11 11 12 12 12 12 14 15 16 17 16 12 9 6 6 9 10 12 13 12 11 nan
nan 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 8 5 2 1 2 4 5 6 6 4 2 1 1 3 6 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 10 12 16 19 23 24 24 25 26 25 23 20 17 15 14 13 13 12 10 8 6 3 0 -3 -6 -8 -11 -11 -9 -6 -2 2 4 4 3 4 5 6 7 8 9 10 10 11 11 11 11 10 10 9 8 7 6 7 7 9 10 11 12 12 11 11 11 10 9 9 9 10 10 10 9 9 10 10 9 9 9 9 10 11 11 12 13 14 14 14 14 14 12 11 10 9 8 9 11 12 13 13 12 11 10 10 10 10 11 12 12 12 12 12 12 12 13 13 13 12 10 9 7 7 8 9 9 9 9 nan
nan 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 6 3 2 3 4 5 6 7 7 7 6 5 5 6 7 8 8 9 9 9 9 9 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 13 15 18 21 22 22 22 23 23 23 23 23 21 18 16 15 13 12 12 12 12 10 8 5 2 -1 -5 -8 -8 -8 -7 -5 -3 -1 1 3 4 4 4 6 8 10 11 11 11 11 10 10 11 12 13 13 12 10 10 11 13 14 13 12 12 12 11 9 8 8 8 9 9 9 9 9 9 8 8 7 8 9 9 10 10 11 12 13 14 15 14 12 11 10 9 9 9 10 12 12 12 11 11 10 10 10 10 11 11 12 12 11 10 10 10 9 10 11 12 13 12 12 10 10 9 9 9 8 nan
nan 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 10 9 8 7 6 4 2 2 3 4 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 15 15 14 12 11 13 16 21 24 24 23 20 18 15 13 13 13 13 13 12 12 11 9 6 2 -3 -8 -12 -14 -12 -9 -6 -2 1 1 2 3 4 6 8 10 10 11 11 12 13 15 15 15 14 13 11 11 12 13 12 11 12 13 13 12 10 9 8 9 9 8 8 8 8 7 6 5 5 6 7 8 8 9 10 11 13 15 14 13 12 11 10 9 10 10 11 12 11 11 11 10 10 9 9 10 10 11 11 11 9 8 6 5 6 8 11 12 13 12 12 11 11 11 10 10 nan
nan 10 10 10 9 9 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 5 2 1 2 3 5 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 8 4 3 5 9 14 19 22 23 23 22 18 16 14 13 13 13 13 13 13 13 12 10 6 2 -3 -8 -11 -11 -11 -8 -5 -2 -0 1 1 1 3 5 7 9 10 11 12 12 12 12 12 11 10 10 10 10 10 9 10 12 13 13 12 10 9 9 9 8 7 8 8 8 7 6 5 5 6 6 7 7 7 9 11 13 14 14 12 11 10 10 9 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 9 7 6 7 8 10 11 12 12 12 12 12 12 12 12 nan
nan 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 6 4 3 3 5 7 8 8 9 9 9 9 10 10 10 11 12 13 12 11 11 10 10 10 10 9 9 10 10 11 11 10 10 10 10 11 11 12 12 13 13 13 12 12 10 8 7 7 9 10 12 14 17 20 23 24 23 20 19 17 16 16 15 15 15 16 16 16 14 12 9 5 1 -3 -7 -9 -8 -6 -3 -1 -0 -0 0 1 3 5 6 7 7 8 8 9 10 10 10 10 9 9 9 8 7 8 10 11 11 10 10 10 10 9 9 9 9 10 10 9 8 7 6 6 6 5 5 7 9 10 12 12 11 10 10 9 9 9 10 10 10 11 10 10 9 9 10 10 11 11 12 13 14 14 15 14 14 13 12 12 12 12 12 12 13 13 14 14 nan
nan 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 6 7 8 8 9 9 9 9 10 10 10 10 10 12 13 12 12 11 11 11 10 10 9 9 9 10 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 11 12 14 16 18 18 17 15 14 15 17 19 22 25 26 25 24 24 23 23 22 22 23 24 23 21 18 16 14 11 8 3 -2 -5 -7 -7 -4 -1 1 2 2 2 3 4 4 5 6 8 10 12 13 13 12 12 11 10 9 8 7 7 8 9 9 10 10 11 11 10 9 9 9 10 10 9 8 7 6 5 5 5 7 8 9 10 11 10 9 9 9 9 9 9 10 11 11 10 10 9 9 9 10 10 11 12 13 14 17 20 23 22 19 16 14 12 12 12 13 13 14 14 15 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 12 11 10 9 10 10 10 9 9 9 10 11 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 10 11 12 16 19 20 20 17 15 14 14 14 14 17 20 23 26 27 27 27 28 28 27 27 27 27 26 24 22 20 19 17 14 10 5 -0 -4 -4 -1 3 5 6 5 5 5 5 6 8 10 11 13 14 15 15 14 13 13 12 11 9 8 8 8 8 9 10 11 11 10 9 7 7 7 8 8 8 7 6 5 5 6 8 9 10 10 9 9 9 9 9 10 10 9 10 11 10 10 10 9 9 9 9 10 12 12 12 13 16 19 22 22 20 17 15 14 13 13 13 13 14 14 15 nan
nan 9 9 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 9 7 6 7 8 9 9 9 9 10 10 10 10 10 12 13 13 12 11 11 11 11 10 10 10 12 13 13 13 13 13 13 13 14 13 12 12 11 11 11 10 9 9 10 11 13 14 14 14 13 12 12 12 11 11 12 14 16 18 21 22 23 23 23 23 21 21 22 24 26 26 26 25 25 25 23 19 15 11 8 8 9 9 9 9 8 7 7 7 8 8 8 9 10 12 13 14 14 14 13 13 12 10 9 7 7 7 8 10 10 10 10 8 7 6 6 7 7 7 7 6 6 7 9 10 10 10 9 9 9 9 9 10 9 9 10 10 10 10 10 9 9 9 10 10 11 12 12 13 13 15 17 17 16 15 15 14 14 14 13 14 14 14 15 nan
nan 8 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 9 7 6 6 7 9 9 9 9 10 10 10 10 11 14 17 17 17 16 14 13 13 12 12 14 14 15 14 14 13 13 12 12 12 12 12 12 11 11 11 10 9 9 10 11 11 11 10 9 8 7 7 7 8 9 10 10 11 12 14 15 15 15 15 14 13 14 15 18 21 24 25 26 27 28 28 28 27 25 23 19 16 13 12 11 10 9 9 8 7 7 6 6 8 9 11 13 14 13 13 13 12 11 10 8 7 6 7 9 10 10 10 10 9 7 6 7 8 9 9 8 8 8 8 10 10 10 10 10 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 12 12 13 14 16 17 16 15 14 14 14 14 14 14 14 14 14 nan
nan 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 10 10 10 10 10 8 7 7 7 7 8 9 9 9 10 10 10 11 13 18 21 22 21 18 15 14 14 14 15 15 15 15 14 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 9 7 3 1 1 2 5 7 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 17 19 20 21 21 22 24 25 24 22 19 16 14 12 12 11 10 10 10 9 9 8 7 8 10 11 12 13 13 13 13 12 11 10 10 9 8 9 10 10 10 10 10 10 10 9 10 11 12 12 11 10 9 9 9 9 11 11 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 15 18 21 20 17 15 14 14 14 14 14 14 14 14 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 6 5 4 5 7 8 9 9 10 10 11 11 12 17 23 26 25 22 17 15 14 14 15 15 16 15 14 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 2 -1 -2 -2 1 4 7 9 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 12 12 12 13 12 12 11 11 11 11 10 10 11 11 10 10 10 9 8 8 8 9 11 11 12 12 13 12 11 11 11 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 10 10 10 10 11 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 10 10 11 11 10 10 12 15 20 23 24 20 17 15 14 14 14 14 14 14 14 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 4 2 2 4 7 9 9 10 10 10 11 12 16 22 29 30 26 21 16 14 14 15 15 15 14 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 7 4 2 -0 -1 -1 1 4 8 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 9 6 2 0 0 1 1 2 4 5 5 5 6 8 9 8 6 5 3 2 1 1 2 3 4 6 7 9 11 12 12 12 13 16 16 16 16 15 15 14 14 13 13 12 12 12 12 13 13 13 12 11 11 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 10 11 13 18 22 24 23 19 16 15 14 14 14 14 14 13 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 9 8 7 5 5 7 9 9 10 10 10 11 11 13 19 26 30 27 21 16 14 15 16 16 15 14 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 8 7 7 6 4 3 1 2 4 7 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 9 6 2 -1 -3 -4 -4 -4 -4 -4 -4 -4 -2 -1 -0 -0 -2 -3 -4 -6 -6 -6 -7 -7 -6 -5 -3 1 5 9 11 11 13 15 16 17 17 16 15 14 13 12 11 10 10 10 10 10 11 12 13 13 12 11 10 10 10 9 9 8 8 8 9 9 9 9 9 8 9 9 10 10 11 10 11 10 11 12 14 19 23 25 23 19 16 15 14 14 14 13 13 nan
nan 11 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 10 11 10 10 9 9 8 8 8 9 9 10 10 10 11 12 14 20 25 23 18 13 12 15 17 18 17 15 14 13 12 12 12 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 7 7 7 7 8 7 5 4 5 7 8 10 11 11 11 12 12 12 12 12 12 12 11 11 12 14 16 16 16 12 7 3 0 -2 -4 -5 -7 -8 -8 -9 -8 -8 -7 -5 -5 -4 -5 -6 -7 -8 -9 -10 -10 -8 -5 -0 3 7 10 12 13 14 14 14 13 12 11 11 10 9 9 9 9 9 10 11 12 13 13 12 11 10 9 9 9 8 8 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 12 16 21 25 25 22 18 16 15 15 14 13 13 nan
nan 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 8 8 9 9 10 11 11 12 14 19 21 17 12 11 13 17 18 17 15 14 13 13 13 12 11 11 11 12 12 12 11 11 9 8 7 7 7 8 9 9 9 10 9 8 7 6 6 7 8 8 7 7 7 8 9 10 11 11 12 12 12 11 11 11 11 11 10 11 13 17 21 25 26 24 21 16 12 8 6 4 2 -0 -3 -4 -5 -4 -3 -1 1 2 2 1 0 -0 -1 -4 -7 -9 -11 -10 -6 -0 6 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 13 18 23 25 24 20 17 16 15 15 14 14 nan
nan 11 11 11 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 8 7 7 7 8 9 10 10 11 11 12 14 18 18 15 14 15 17 17 15 13 11 11 12 12 13 12 11 11 11 11 11 11 10 9 7 4 2 2 2 4 7 8 9 9 9 8 7 6 6 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 12 15 18 22 26 27 28 26 23 20 18 16 14 13 10 8 6 6 6 5 6 6 7 7 7 8 7 5 2 -2 -7 -9 -8 -5 1 6 9 10 11 11 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 10 10 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 14 19 23 25 23 20 18 17 17 16 15 nan
nan 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 11 11 12 12 14 16 16 16 18 19 17 15 12 11 10 11 12 13 13 13 13 12 11 11 11 11 11 10 8 6 4 3 2 4 6 7 8 9 8 7 6 5 6 7 8 8 9 11 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 16 19 23 27 28 29 29 28 26 25 24 22 20 18 16 14 13 12 12 13 15 16 17 16 13 11 7 3 -2 -5 -5 -2 2 7 9 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 11 11 12 12 12 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 15 20 24 25 24 23 23 23 21 19 nan
nan 11 12 13 13 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 7 8 9 10 11 12 12 12 13 14 15 17 19 18 15 14 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 12 12 12 11 10 8 7 6 6 6 5 5 3 3 4 6 7 8 8 9 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 13 16 20 24 28 31 32 33 33 33 32 30 28 26 24 23 22 23 24 26 26 26 24 21 17 14 11 6 1 -2 -1 3 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 13 12 10 9 9 10 10 11 12 12 13 13 13 14 13 13 13 12 12 11 11 11 10 10 10 12 15 20 23 25 26 27 27 27 26 nan
nan 11 11 11 11 11 10 11 10 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 7 7 8 9 10 11 12 12 12 12 13 15 17 18 16 14 14 14 14 14 14 13 12 12 13 14 15 15 16 15 14 14 13 14 16 17 16 13 10 6 3 1 -0 -2 -2 0 4 6 8 9 9 10 11 11 12 12 11 12 12 12 12 11 11 10 10 10 10 11 11 12 12 11 11 10 11 13 16 20 23 27 29 30 31 32 32 32 31 31 31 32 32 31 30 29 28 28 26 23 20 17 14 11 8 6 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 15 16 14 12 9 8 9 10 10 11 11 12 13 13 14 14 14 14 14 13 12 12 12 11 11 10 10 10 12 15 17 19 20 23 25 27 29 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
23 24 26 29 34 39 43 44 42 39 35 31 25 20 17 19 25 29 31 31 29 26 23 22 19 17 16 16 16 15 14 14 16 19 22 22 22 22 21 21 22 21 21 20 18 15 12 9 6 4 3 2 2 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 14 19 24 29 34 37 40 48 54 59 61 62 63 66 67 67 65 62 56 52 48 45 42 39 36 34 32 31 32 33 34 31 30 32 31 28 24 23 23 22 21 21 21 22 22 23 24 25 27 27 27 27 28 29 29 30 30 29 28 26 25 25 27 28 25 23 26
25 25 27 29 31 36 41 44 43 40 35 29 23 17 15 20 24 27 29 29 28 26 26 26 26 23 20 19 18 16 14 14 15 17 19 19 20 21 22 23 22 21 20 20 19 16 12 8 5 4 4 4 2 1 1 1 2 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 15 19 23 30 33 36 41 46 53 59 63 65 67 70 72 72 70 65 60 55 51 49 45 42 40 37 34 33 34 36 35 34 33 32 28 24 23 23 23 21 20 21 21 22 23 23 23 25 26 27 28 29 29 30 30 31 31 30 28 27 26 26 28 25 25 27
28 29 30 32 32 36 40 43 44 43 39 32 26 22 20 23 27 29 28 26 25 25 25 26 26 22 19 18 17 15 14 15 15 16 18 19 19 19 19 18 19 19 18 18 17 14 10 6 3 3 4 4 3 2 2 2 2 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 11 16 19 23 27 33 36 39 46 54 60 65 69 72 74 76 75 72 69 65 61 56 52 48 44 41 39 36 36 37 37 35 34 34 32 29 26 25 24 22 21 20 19 20 24 23 23 23 24 25 26 28 28 29 29 31 32 31 28 26 27 27 27 26 26 28
33 35 37 39 39 40 42 43 44 44 42 39 34 29 25 27 29 31 30 29 26 25 24 24 23 18 15 14 14 14 15 16 16 17 18 19 20 20 20 21 22 21 19 18 16 13 10 6 2 1 1 1 2 4 4 3 3 4 4 4 3 3 3 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 13 16 19 21 27 32 35 40 46 53 62 68 73 76 77 78 79 78 74 71 67 62 56 50 46 43 40 39 39 38 38 37 37 37 36 32 28 26 23 21 20 17 17 21 22 23 24 24 23 25 26 26 28 29 31 30 28 26 25 26 27 26 25 27 30
39 41 43 44 44 44 44 43 43 43 43 41 39 35 29 28 29 31 30 29 27 25 24 23 20 15 11 11 12 13 14 15 16 16 18 19 20 22 23 25 25 22 18 16 14 12 9 5 2 1 0 0 1 1 2 2 2 2 3 3 3 3 3 2 3 4 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 17 17 20 25 30 35 39 42 54 63 70 75 80 84 87 86 83 79 75 70 65 60 55 50 46 43 42 41 41 40 40 40 40 37 33 29 24 21 21 19 18 18 19 21 24 25 24 25 24 24 26 28 29 27 26 25 26 26 26 25 25 28 32
41 42 44 45 45 44 42 39 37 38 40 40 38 33 28 26 27 29 29 29 28 26 25 22 18 14 11 10 11 13 14 14 15 16 16 17 18 19 21 20 19 17 14 12 9 6 4 2 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 2 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 14 15 17 22 30 34 37 46 56 65 73 81 87 91 91 89 87 84 80 74 71 65 58 51 46 45 43 43 43 44 44 42 40 37 34 29 25 24 22 20 18 17 20 23 23 24 26 28 27 26 26 26 26 28 30 31 30 26 25 26 31 34
41 40 40 41 41 39 38 35 33 34 35 35 33 29 26 26 27 28 29 28 28 28 26 23 19 15 13 13 13 14 15 14 14 13 13 13 13 13 14 13 12 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 13 14 16 23 29 34 40 48 58 67 76 83 89 92 93 92 89 86 83 79 73 66 59 54 50 47 45 45 46 46 44 44 42 39 35 31 28 26 24 22 21 24 25 22 21 24 29 30 28 26 28 30 32 34 35 32 30 30 33 35 37
40 37 35 34 36 35 34 32 31 30 30 31 30 29 28 27 25 25 24 25 25 26 24 22 19 16 14 15 15 16 16 14 11 10 10 10 10 10 8 6 5 3 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 3 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 12 14 18 23 28 34 40 50 59 69 77 85 91 95 96 94 91 90 87 82 75 69 65 61 56 50 48 47 46 47 46 45 43 40 38 34 31 30 29 29 29 28 29 28 28 29 30 30 29 30 33 34 35 35 35 34 34 35 37 38
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