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 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 6 7 7 6 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 7 7 7 9 11 14 15 15 11 8 7 7 6 7 7 7 7 6 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 5 5 5 5 5 5 6 6 7 7 9 11 14 19 23 24 21 17 12 9 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 7 7 7 8 7 8 9 10 12 15 16 14 10 8 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 6 9 13 19 25 28 25 20 15 11 8 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 nan
nan 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 7 7 7 7 6 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 10 13 17 16 12 9 8 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 3 3 3 3 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 5 9 16 23 26 25 22 18 14 11 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 6 6 6 6 5 5 6 nan
nan 7 7 7 8 8 7 7 7 7 7 6 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 4 4 4 4 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 9 9 9 8 8 7 7 6 6 7 7 8 9 12 16 17 14 11 9 8 8 7 7 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 2 5 11 18 22 24 23 21 17 14 11 9 8 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 6 5 6 nan
nan 7 7 7 7 7 6 6 6 7 6 6 6 6 6 5 5 6 7 8 8 7 6 6 6 7 7 7 8 8 7 7 6 6 5 4 4 3 3 3 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 10 9 8 8 8 7 6 6 7 7 7 8 10 14 16 16 14 12 10 8 8 7 7 8 8 8 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 7 6 5 4 2 3 7 12 17 21 23 22 19 17 15 13 11 9 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 6 nan
nan 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 6 6 7 6 7 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 7 8 7 7 8 9 10 9 9 9 8 7 7 7 6 6 7 8 9 11 13 15 16 16 13 11 9 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 5 4 4 5 8 12 16 19 20 19 19 17 16 15 13 12 10 9 8 7 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 4 4 5 6 6 6 6 6 nan
nan 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 9 8 7 7 7 7 8 9 9 9 8 9 9 9 9 9 9 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 8 9 10 9 9 8 7 7 8 8 8 8 8 8 8 10 10 10 9 9 8 8 7 7 6 6 7 7 7 8 10 12 16 17 16 15 12 10 9 8 8 9 9 9 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 6 5 5 5 8 10 13 15 16 17 18 19 19 19 17 15 13 10 8 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 6 6 6 6 nan
nan 7 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 8 7 6 6 6 6 7 8 9 9 9 8 8 7 7 7 8 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 6 7 7 7 7 8 9 12 15 17 17 16 13 11 10 9 9 9 9 9 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 6 7 9 11 13 16 19 22 24 23 21 17 13 10 7 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 6 6 6 6 nan
nan 8 7 7 6 7 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 8 8 8 7 6 5 5 6 8 10 9 8 7 6 7 8 9 9 9 8 8 9 8 8 7 8 8 9 10 10 10 9 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 9 11 14 15 16 16 15 13 12 10 10 9 9 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 5 8 11 17 22 25 26 24 21 17 12 9 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 nan
nan 7 6 6 6 6 7 8 9 9 8 7 7 7 7 6 6 5 5 6 6 6 7 8 8 8 7 6 5 5 5 6 7 8 8 7 7 7 7 7 6 5 5 5 7 9 9 9 8 7 7 8 9 9 9 8 8 8 9 9 9 8 8 9 10 11 10 9 8 7 8 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 10 11 13 15 16 16 15 13 11 10 9 8 8 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 5 5 6 6 7 7 6 5 4 4 3 4 7 12 18 23 25 25 23 18 15 11 8 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 nan
nan 5 5 5 6 7 7 7 8 8 7 6 6 5 5 5 5 6 6 7 7 6 6 7 8 8 7 6 6 5 5 5 6 7 7 7 7 7 7 7 6 5 5 6 7 9 9 8 7 7 6 7 7 7 7 7 7 7 8 9 9 8 9 10 10 10 10 8 7 6 7 7 8 8 8 9 9 9 8 8 8 8 7 6 7 7 7 7 7 8 10 12 14 17 17 16 14 11 10 9 8 8 7 8 8 8 8 8 8 8 7 7 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 4 4 4 7 12 17 21 23 22 19 16 13 10 8 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 5 nan
nan 5 5 5 7 8 8 8 8 8 7 7 6 6 5 6 7 8 9 9 8 7 7 8 8 9 8 8 7 7 6 6 7 7 7 7 6 6 7 6 6 6 6 7 8 9 9 8 7 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 9 9 8 7 8 8 8 7 7 8 8 9 11 14 16 17 17 15 12 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 5 4 5 7 11 16 18 19 19 17 15 13 11 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 5 nan
nan 7 6 7 8 9 9 9 8 8 8 8 7 6 6 7 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 13 15 18 18 17 14 12 10 9 9 9 9 9 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 7 10 13 15 17 17 17 15 14 12 11 9 8 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 nan
nan 8 8 8 9 9 9 8 8 7 7 7 6 5 6 7 8 8 8 7 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 7 6 5 5 5 6 7 8 9 9 9 9 8 7 6 6 6 7 7 9 9 9 9 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 9 9 8 7 7 8 8 9 9 9 9 9 8 8 10 12 16 18 19 19 16 14 11 10 10 10 9 9 9 9 9 9 9 8 7 7 6 6 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 5 5 4 4 5 6 8 10 13 15 16 16 16 15 14 13 12 10 8 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 nan
nan 9 9 9 9 9 8 7 7 6 6 6 6 7 8 9 9 8 8 7 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 9 8 7 5 5 5 6 7 8 9 9 10 10 9 8 8 8 7 7 8 9 9 9 9 8 7 7 6 6 7 6 6 7 8 8 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 8 8 9 8 8 8 9 10 12 15 18 20 20 17 14 12 11 11 11 11 11 11 10 10 11 10 10 9 8 7 6 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 4 5 6 8 10 13 14 15 16 16 16 15 13 12 10 9 7 7 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 12 12 12 11 9 8 7 6 5 6 7 9 10 11 11 10 9 8 7 7 8 8 9 9 8 8 8 8 8 9 9 10 10 10 10 9 7 6 6 6 7 7 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 6 7 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 9 9 9 11 14 17 20 20 17 14 12 11 11 11 12 12 12 12 13 13 12 11 10 8 8 7 7 6 6 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 4 5 6 8 10 12 14 16 17 17 17 15 13 12 10 9 8 7 7 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 13 14 14 12 10 8 7 7 6 6 7 9 10 11 11 9 8 7 7 7 8 9 10 10 11 10 9 8 8 8 9 8 8 9 9 8 7 7 7 7 7 8 8 8 7 7 8 9 10 10 9 8 8 8 7 7 8 8 9 9 9 8 8 8 8 7 8 8 9 8 7 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 9 10 14 18 20 19 16 13 12 11 11 12 12 13 13 14 14 14 13 12 10 9 8 7 7 6 6 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 8 10 13 15 17 17 17 16 14 13 12 11 9 8 8 8 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 12 13 14 13 11 10 9 9 8 8 8 8 8 8 8 7 6 6 7 8 9 9 10 11 11 11 10 9 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 8 9 9 10 10 10 9 7 6 6 7 8 8 7 8 8 8 6 5 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 8 9 9 9 12 16 20 19 17 14 12 12 11 11 11 12 12 13 13 14 13 12 11 10 9 8 7 7 6 6 5 5 5 5 5 6 6 6 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 7 9 11 14 15 16 16 15 15 14 13 12 11 10 9 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 10 12 13 13 12 12 11 11 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 5 6 7 9 10 10 10 10 10 11 11 11 9 8 7 6 5 5 5 5 6 6 7 8 8 9 10 10 9 8 6 6 6 6 7 7 8 9 9 8 7 7 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 11 14 18 19 18 16 14 13 12 12 12 11 11 11 12 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 9 9 8 7 6 6 6 7 9 11 13 14 14 15 15 15 14 13 12 11 10 9 9 8 7 7 6 6 6 7 7 6 6 5 5 5 4 4 5 nan
nan 9 11 12 13 13 12 12 11 12 12 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 8 6 5 5 5 6 8 9 10 9 9 9 10 11 12 11 9 8 7 6 6 5 5 5 5 5 6 7 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 9 9 10 10 10 10 9 9 9 10 11 11 12 11 11 10 10 9 9 8 8 9 9 10 12 14 17 18 18 16 14 13 13 12 12 11 10 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 14 14 14 14 13 13 13 12 12 11 11 11 10 10 10 10 9 9 8 7 6 6 6 6 8 10 11 13 14 15 16 15 14 13 12 11 10 9 9 8 7 7 7 7 8 8 7 6 6 5 5 5 5 nan
nan 9 10 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 10 9 9 8 8 7 7 7 7 8 9 10 10 10 8 7 7 6 6 7 8 9 9 9 9 9 10 11 11 10 9 8 7 6 6 6 7 7 7 6 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 6 7 8 9 10 10 11 11 11 10 10 10 11 11 12 13 12 11 11 10 10 10 9 9 9 10 10 10 11 14 16 17 15 14 14 14 13 13 11 10 10 11 12 12 13 13 13 14 14 15 16 16 17 18 18 19 19 18 18 18 17 17 16 16 15 15 15 14 14 13 13 13 12 11 10 10 10 10 10 9 8 7 6 5 5 6 8 10 12 14 15 15 15 14 13 13 12 11 10 9 8 8 8 8 8 8 8 7 6 6 5 5 5 nan
nan 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 9 8 7 6 6 6 7 8 8 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 7 6 5 5 6 8 9 9 10 11 12 11 10 10 10 11 12 12 12 11 10 10 10 10 10 9 10 11 11 10 10 11 12 13 12 12 12 13 13 14 12 10 10 10 11 12 13 15 16 17 18 19 20 21 22 22 22 22 22 21 20 20 19 18 18 17 17 16 15 15 14 14 14 14 13 12 11 10 11 11 11 11 10 9 8 7 6 6 6 7 9 11 13 14 15 15 15 14 13 13 12 11 10 9 8 8 8 8 8 8 7 6 5 5 5 nan
nan 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 12 11 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 6 6 6 7 8 9 11 13 14 14 13 12 10 8 6 5 4 5 6 7 7 7 6 6 6 6 7 7 8 9 10 11 12 11 11 10 11 11 11 10 10 9 9 9 9 9 9 11 12 12 11 10 10 10 10 10 10 10 11 12 13 12 11 10 10 12 13 15 17 19 21 22 23 24 24 24 24 23 23 22 21 20 19 19 18 17 17 16 15 15 14 14 14 14 13 13 12 11 11 10 11 11 11 12 12 11 10 9 8 7 7 7 9 10 12 14 15 15 16 16 15 14 13 12 11 10 9 9 9 8 8 7 6 6 5 5 nan
nan 9 9 9 10 10 10 9 9 8 8 8 8 9 10 12 12 12 11 10 10 9 9 9 9 10 10 10 10 11 10 9 9 9 10 10 10 10 10 10 10 11 10 10 10 9 8 7 6 6 6 6 7 7 9 10 13 16 17 16 13 11 9 6 5 4 4 4 5 6 7 7 7 8 8 8 8 7 7 8 9 11 11 11 10 10 10 10 10 9 8 8 8 8 7 7 8 10 12 12 11 10 10 9 9 8 9 9 10 11 11 11 11 10 11 12 15 17 19 21 23 24 24 24 23 23 22 21 20 20 19 18 17 16 16 15 15 14 14 13 13 13 13 13 13 12 12 11 11 10 10 10 11 11 12 12 13 12 11 10 8 8 7 8 10 11 13 15 16 17 17 16 16 14 13 11 10 10 9 9 8 8 7 6 6 6 nan
nan 9 9 9 9 10 10 9 9 8 8 8 8 10 11 12 12 11 11 11 10 9 9 9 9 9 9 9 9 11 10 10 10 10 10 10 10 11 11 10 11 11 11 10 10 9 8 8 7 7 7 6 7 7 9 12 15 17 17 15 12 10 7 6 6 7 8 8 8 7 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 12 15 18 20 21 22 22 22 21 20 19 18 18 17 16 16 15 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 11 12 12 12 11 10 9 8 7 7 8 10 12 14 16 17 18 17 16 15 14 13 11 10 10 9 8 7 7 6 6 nan
nan 9 9 9 9 9 10 9 9 8 8 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 8 7 8 9 9 9 10 10 10 10 10 11 11 11 12 12 11 11 10 9 8 8 8 8 7 7 7 7 10 13 15 16 14 12 10 8 8 8 9 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 8 8 8 9 9 9 9 11 15 17 17 17 17 16 15 14 14 14 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 10 10 9 8 7 7 7 9 10 12 15 16 17 17 17 17 15 14 13 12 11 10 8 8 7 7 nan
nan 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 10 11 11 11 12 13 13 12 11 9 8 7 7 7 7 7 7 7 9 12 14 14 13 10 8 7 7 9 10 12 13 12 11 11 10 9 8 8 8 9 9 10 10 10 10 11 11 10 9 9 8 8 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 10 10 10 9 7 7 8 8 8 7 6 7 8 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 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 10 12 13 14 16 17 17 16 15 14 13 12 10 9 9 8 nan
nan 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 8 9 10 11 11 11 10 9 8 8 8 8 8 8 9 9 8 8 10 11 11 11 12 12 13 13 12 10 8 7 7 7 6 6 7 8 10 12 14 14 12 9 7 6 5 6 7 10 12 12 12 11 11 11 10 10 10 10 9 9 10 10 9 10 11 11 10 9 8 9 9 10 9 8 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 10 7 4 1 -2 -4 -5 -5 -4 -1 2 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 8 9 10 12 14 16 16 16 16 16 15 13 12 11 10 nan
nan 8 9 9 8 8 8 8 9 9 8 8 8 8 7 7 7 9 10 10 10 10 9 7 7 7 8 8 8 9 9 8 8 8 10 11 10 10 10 10 10 10 9 8 7 8 8 8 7 8 9 11 12 13 13 12 9 6 4 3 3 4 6 8 10 10 10 11 11 11 10 11 12 11 11 10 10 10 10 11 11 11 10 8 8 9 10 11 10 9 8 8 8 8 8 8 7 7 8 9 9 10 11 11 11 11 12 12 12 12 12 12 12 12 11 9 4 -0 -5 -7 -7 -7 -7 -6 -3 2 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 7 9 10 12 14 15 16 17 17 16 14 13 12 nan
nan 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 10 10 9 8 7 7 8 9 9 8 8 8 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 10 10 11 12 13 12 11 9 7 6 4 3 2 3 5 7 9 8 8 9 9 10 11 12 13 13 12 12 11 11 12 13 13 12 11 10 9 9 9 10 9 9 9 9 9 9 9 8 8 7 7 8 9 11 12 13 12 12 12 12 12 12 12 12 12 12 12 11 10 7 4 1 -1 -1 -1 -1 -2 -1 2 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 7 7 7 9 10 12 14 15 16 17 16 15 14 nan
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nan 8 8 8 7 7 8 8 7 7 8 8 8 8 7 6 4 4 7 11 11 10 10 10 10 9 8 8 8 8 8 9 10 11 11 10 10 11 11 10 10 10 9 9 9 10 10 10 10 9 9 8 7 6 6 6 7 6 7 8 11 14 14 12 8 5 4 6 9 11 13 13 14 14 15 16 15 15 14 13 12 11 11 11 10 9 8 7 8 9 10 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 9 8 8 7 5 3 1 -1 -1 0 1 1 3 4 5 5 5 6 6 7 7 7 7 7 7 7 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 10 10 10 9 9 8 7 7 7 8 9 11 12 14 15 16 nan
nan 8 8 7 7 7 8 8 8 8 9 9 9 9 8 6 4 4 7 10 12 12 11 10 9 7 7 8 10 11 11 12 13 14 14 14 14 13 12 12 11 11 10 10 11 11 11 11 10 9 8 7 7 8 8 8 7 7 8 11 14 16 15 12 8 6 5 7 9 10 10 10 11 13 14 15 14 13 12 12 13 12 10 9 8 8 7 6 7 9 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 14 14 13 12 10 8 7 6 4 2 -2 -3 -3 -3 -3 -2 1 3 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 7 8 8 10 12 14 14 nan
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nan 7 7 6 6 6 7 8 8 9 9 9 10 10 11 11 10 11 11 11 11 10 9 8 8 7 7 8 9 8 7 7 8 8 8 8 9 8 7 6 6 7 8 9 10 10 8 7 8 9 9 9 9 10 10 10 10 9 9 10 11 12 12 11 11 9 8 7 6 7 9 9 8 6 4 3 3 3 4 4 5 5 5 6 6 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 8 7 6 6 5 4 4 5 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 6 4 3 3 3 3 1 2 4 7 9 9 10 10 10 10 10 11 11 11 10 10 11 11 12 13 14 16 17 18 20 21 21 21 21 21 21 21 20 20 20 21 21 21 22 23 23 23 23 24 24 25 25 25 25 25 25 25 24 22 20 17 14 nan
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nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 10 10 11 12 12 12 12 12 12 11 9 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 12 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 13 13 12 11 9 8 8 9 9 9 9 10 10 9 8 7 6 6 7 9 10 10 9 8 6 5 5 6 8 8 8 7 8 10 13 14 14 12 11 8 6 6 8 10 10 9 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 8 8 9 9 9 9 nan
nan 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 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 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 8 9 9 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 11 12 12 11 10 10 10 10 10 9 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 11 12 13 13 12 10 9 8 9 9 9 9 9 10 10 9 8 7 7 8 9 9 10 10 8 6 5 5 6 7 7 6 5 5 6 9 12 15 14 13 11 8 8 11 12 11 8 7 7 6 6 6 6 6 7 7 7 6 6 5 5 5 6 7 8 8 9 9 9 9 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 9 8 9 9 9 9 10 10 10 9 9 10 11 12 11 11 10 10 11 11 10 9 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 10 9 7 7 7 8 9 9 10 10 10 9 8 8 8 9 9 9 10 9 8 7 6 6 7 8 7 6 5 4 5 6 8 9 9 8 8 9 11 12 10 8 6 5 5 5 5 5 6 6 7 7 7 7 6 6 6 7 8 9 9 9 9 9 10 10 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 9 9 10 10 10 9 9 10 11 11 11 11 10 11 12 12 12 10 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 7 6 6 7 8 9 10 10 10 9 9 8 8 8 9 9 10 10 9 8 8 7 7 8 9 9 8 7 5 4 4 4 4 4 4 6 8 8 7 5 5 4 3 3 4 5 5 6 7 8 8 8 7 5 6 7 8 9 9 9 9 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 7 8 8 9 10 10 10 10 10 10 11 11 11 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 9 9 9 8 7 7 8 9 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 6 4 4 3 4 5 6 6 5 4 4 3 2 2 2 3 4 5 6 8 10 10 8 5 4 6 8 9 8 8 8 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 12 12 11 11 10 10 10 10 11 12 12 11 9 8 7 8 9 9 9 10 11 11 11 11 11 11 10 10 10 11 12 13 13 13 12 10 10 9 9 8 9 9 9 9 9 9 9 8 8 8 7 7 8 9 10 10 9 8 8 8 9 10 10 10 9 9 8 8 9 9 9 9 8 7 7 8 9 9 8 9 9 9 10 10 10 9 8 7 6 6 7 7 7 7 6 6 5 4 2 1 1 3 4 4 5 8 10 9 5 3 4 6 7 7 7 8 8 8 8 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 9 10 11 12 12 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 10 12 12 12 12 11 10 9 9 9 9 10 11 12 13 14 13 12 10 9 9 9 9 10 10 11 12 12 12 11 11 10 10 10 10 11 12 13 14 13 12 11 10 9 8 8 8 9 9 8 8 7 7 8 8 9 9 9 10 11 10 9 8 8 8 9 10 10 10 9 9 8 9 9 10 10 9 8 6 6 7 8 9 8 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 7 6 4 2 3 4 3 2 5 8 9 7 5 4 4 4 5 5 6 7 7 7 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 11 12 13 12 11 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 9 9 9 10 10 11 11 10 9 8 7 6 6 7 7 8 9 10 11 13 14 13 12 12 11 11 10 10 10 11 11 12 12 12 11 11 10 10 10 10 11 12 13 14 14 13 12 10 10 9 9 9 9 8 7 6 6 8 9 11 11 11 11 10 10 9 8 8 9 10 10 10 10 9 8 9 9 10 10 11 10 8 7 5 6 7 8 9 10 10 10 11 11 10 10 9 9 8 8 9 9 9 9 10 9 9 9 8 7 6 6 6 5 4 4 6 8 8 7 5 4 3 3 3 4 6 6 6 nan
nan 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 12 13 13 12 10 9 8 7 7 7 8 8 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 7 7 6 6 6 6 6 7 7 7 8 9 10 12 12 13 13 13 12 12 11 10 11 11 11 12 12 12 11 11 11 11 10 11 11 12 13 15 14 12 11 11 11 11 11 11 10 8 7 6 7 9 11 11 11 10 9 9 9 9 9 10 10 11 10 10 9 9 9 10 10 11 11 10 9 7 6 7 8 9 9 10 10 11 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 7 6 6 5 5 5 5 4 3 3 4 5 5 6 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 12 13 13 12 11 11 10 9 7 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 9 9 10 9 8 8 7 7 7 7 6 6 6 7 7 7 7 8 9 9 10 11 11 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 12 14 13 11 10 11 12 12 13 13 13 11 9 8 8 9 10 10 9 8 8 8 9 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 4 1 1 3 4 5 4 4 4 4 5 5 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 8 8 9 10 11 12 13 13 12 11 11 10 9 8 6 5 5 5 7 8 9 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 11 11 12 12 12 11 10 9 9 10 11 12 12 11 9 9 11 13 12 10 9 10 11 13 13 13 13 13 12 10 10 10 10 9 8 7 7 8 9 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 9 9 8 8 9 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 6 1 -1 -0 2 4 4 4 4 4 4 5 5 nan
nan 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 9 10 10 12 13 13 12 11 10 10 10 9 9 7 5 3 4 5 7 7 7 8 8 8 8 8 9 9 9 8 7 8 8 8 8 7 6 5 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 8 8 9 9 10 10 11 12 11 10 10 9 10 11 12 12 11 10 10 11 11 11 10 9 10 11 12 12 12 12 12 11 10 9 9 9 9 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 11 11 10 10 10 9 9 8 8 6 3 0 -0 2 4 4 4 4 5 5 5 5 5 nan
nan 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 11 13 13 12 11 10 9 9 9 9 8 7 5 4 3 4 6 7 7 7 7 8 8 9 10 11 11 10 10 10 10 10 9 9 8 7 6 6 7 8 9 9 10 10 10 10 9 9 10 10 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 9 8 8 9 10 11 11 11 10 9 9 9 10 10 10 11 11 11 10 10 10 9 8 6 3 1 0 1 2 5 6 6 5 5 5 5 6 6 6 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 12 13 13 11 10 9 9 9 8 8 7 7 5 4 4 5 7 8 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 9 8 7 7 7 8 9 9 9 10 10 9 8 8 8 9 10 12 12 12 11 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 8 9 9 10 10 10 10 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 11 10 8 8 8 9 10 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 10 8 4 -1 -2 -0 2 5 6 7 7 7 6 6 6 6 6 6 nan
nan 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 11 11 12 12 12 13 14 13 11 10 9 9 8 8 8 7 7 6 5 5 6 8 10 12 12 12 11 11 11 12 12 13 13 13 13 13 12 11 11 10 9 9 8 8 8 8 8 9 10 10 9 8 7 7 7 9 11 12 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 11 12 10 8 7 7 8 10 10 11 10 10 9 9 9 10 10 11 11 11 11 10 10 10 9 5 1 0 2 4 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 9 9 9 9 9 8 8 8 9 10 10 11 12 12 12 12 13 14 14 13 12 10 9 9 9 8 8 8 8 7 6 6 7 9 12 13 13 13 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 8 8 8 9 10 11 10 9 8 7 8 9 9 10 10 11 12 12 11 11 10 10 10 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 10 11 12 12 12 12 11 11 12 12 11 10 9 9 9 10 11 11 10 10 9 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 8 8 9 9 9 8 8 9 11 11 9 7 6 6 8 9 10 11 10 9 8 8 9 10 10 11 11 11 11 10 10 10 10 7 6 5 5 5 6 7 8 8 7 7 7 7 6 6 7 nan
nan 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 11 11 12 14 15 14 12 10 10 9 9 9 9 8 8 8 8 7 7 10 12 13 13 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 9 10 11 10 9 9 8 8 8 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 8 10 11 12 11 11 11 11 11 11 11 9 8 8 9 11 11 11 10 9 7 6 6 7 8 9 9 9 8 7 6 5 5 6 7 7 8 9 9 9 8 7 7 9 11 11 9 7 5 6 8 9 10 11 11 9 8 8 9 10 10 11 11 11 11 10 10 10 9 9 9 8 5 3 4 5 7 8 7 7 7 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 12 12 11 11 12 14 14 13 12 10 10 10 10 9 9 9 9 9 9 8 8 9 11 11 11 11 11 12 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 10 10 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 7 8 10 11 12 11 10 10 10 11 11 11 10 9 9 10 11 11 11 10 8 6 5 5 6 8 9 9 8 8 7 7 6 7 7 7 7 7 8 8 8 8 7 8 10 11 11 10 9 7 8 8 9 10 11 10 10 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 7 2 1 2 5 8 8 7 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 10 12 13 14 12 11 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 11 11 12 12 12 11 10 10 11 11 10 9 9 9 10 11 11 11 10 10 11 11 11 10 10 10 9 7 6 6 7 8 8 8 8 7 8 8 9 10 10 9 8 7 7 8 9 9 9 9 10 11 12 12 11 10 9 9 8 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 10 10 10 6 3 2 3 7 8 8 7 6 6 5 5 5 6 nan
nan 8 7 7 8 8 8 8 7 7 8 9 10 10 10 11 10 9 9 8 8 10 12 12 11 10 9 10 10 10 10 10 10 9 9 7 5 4 5 7 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 10 9 8 6 6 6 6 6 6 4 4 4 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 8 8 9 10 10 10 9 9 10 10 10 9 9 10 10 9 8 7 7 8 8 9 9 9 9 10 11 13 13 12 11 9 8 8 9 10 11 11 11 11 11 12 12 11 10 9 8 8 8 8 8 8 9 8 9 10 10 10 10 10 10 9 9 9 10 10 9 7 6 5 6 8 8 7 7 6 5 5 5 5 6 nan
nan 8 8 8 8 8 8 8 7 7 8 9 11 12 11 10 9 8 8 7 7 9 10 11 10 9 9 9 9 10 10 10 10 9 8 6 3 3 4 7 9 10 10 10 9 9 9 9 8 9 9 9 9 9 8 9 9 10 11 11 12 12 11 11 10 8 7 6 6 6 7 7 5 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 7 7 7 7 8 9 8 7 7 7 7 7 7 8 9 9 8 8 7 8 8 9 10 10 10 11 12 14 15 14 13 11 10 9 10 11 12 12 13 13 13 12 12 12 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 8 7 6 5 5 5 5 5 5 nan
nan 9 9 9 9 9 9 8 8 8 8 10 12 13 13 12 10 9 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 9 7 5 3 3 5 7 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 8 7 7 8 9 9 8 7 5 4 4 4 5 6 6 6 7 7 8 8 7 7 7 8 8 9 9 9 8 7 6 5 4 4 5 6 6 6 5 5 5 6 7 7 7 6 5 4 3 3 4 4 5 5 5 5 6 7 9 10 10 10 10 11 12 13 13 11 10 9 9 9 10 11 12 12 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 8 7 6 5 4 4 4 4 5 5 nan
nan 10 10 10 9 9 9 9 9 8 8 9 11 12 13 13 12 11 10 9 9 10 11 10 9 8 7 7 8 8 8 8 8 7 6 3 3 4 7 9 9 8 8 8 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 9 10 10 10 9 8 6 4 4 5 6 6 7 7 7 8 8 8 8 8 8 9 9 10 10 9 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 2 2 2 2 2 2 3 4 6 8 10 9 9 8 8 9 9 9 8 8 7 7 8 10 11 12 12 12 12 12 12 11 11 10 10 9 9 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 7 5 4 3 3 4 4 4 5 nan
nan 10 10 9 9 9 9 9 9 8 7 7 8 10 11 12 13 13 12 11 10 11 12 12 10 8 7 7 7 7 7 8 7 6 4 2 3 7 9 10 9 8 9 9 10 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 9 10 10 9 9 10 9 8 6 5 5 6 7 7 8 8 7 8 8 8 8 8 9 10 11 12 12 12 11 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 3 4 6 8 8 8 7 8 8 8 8 7 6 7 8 9 10 11 12 12 12 12 12 11 11 10 9 9 9 10 10 9 9 9 9 10 10 10 9 9 10 9 9 9 9 10 10 10 11 10 10 10 10 8 5 4 2 2 3 4 4 4 5 nan
nan 9 9 9 9 9 9 9 9 8 6 6 6 8 9 9 11 13 13 12 11 12 13 13 11 9 7 7 7 7 7 7 6 5 3 2 5 8 10 9 8 8 10 11 10 10 9 9 9 9 8 8 9 9 9 9 8 7 6 6 6 7 8 9 9 9 8 9 10 10 10 8 8 9 9 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 9 10 12 13 15 15 14 13 12 10 9 8 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 5 4 3 2 2 3 6 8 8 8 8 9 10 10 9 8 8 8 9 9 10 11 11 11 12 12 12 11 10 9 9 9 10 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 5 3 1 2 3 4 5 5 5 nan
nan 8 8 8 7 7 8 9 9 8 6 6 6 7 7 7 8 10 12 12 11 12 14 14 13 10 8 7 6 6 6 6 6 4 3 3 5 7 8 8 8 9 10 11 11 10 10 10 10 9 9 8 9 10 10 9 8 7 5 3 3 4 5 6 8 8 8 9 11 11 10 8 7 7 7 7 7 7 8 9 10 10 10 9 9 9 8 8 8 8 9 11 12 14 15 15 15 14 13 12 11 10 9 9 9 9 9 8 8 9 9 8 8 8 8 8 7 8 8 8 8 7 7 5 3 4 5 7 8 8 9 10 11 11 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 4 3 4 6 7 7 7 6 nan
nan 7 7 6 6 6 7 8 9 8 7 6 6 7 7 6 6 6 8 10 10 12 14 16 16 13 10 8 7 7 6 6 6 4 2 2 3 5 7 8 9 10 11 11 10 10 10 10 11 10 9 8 9 10 10 10 9 8 6 4 3 2 3 4 6 7 9 10 12 12 10 8 7 6 6 6 7 7 9 10 11 10 10 10 10 10 9 8 8 9 10 11 13 13 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 7 6 7 8 9 10 10 10 11 11 11 10 10 9 9 9 9 8 9 9 10 10 11 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 7 7 10 13 13 11 10 9 nan
nan 6 6 6 6 6 7 8 8 8 8 7 7 8 8 7 6 5 5 6 8 10 13 17 19 16 12 9 8 7 7 7 6 4 2 1 1 4 7 9 10 11 11 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 9 7 6 4 3 3 5 6 8 10 11 12 11 9 7 6 6 6 6 8 9 11 11 11 11 11 11 11 10 9 9 9 10 11 12 12 11 10 10 11 12 13 13 13 13 13 13 12 12 12 13 13 13 12 13 13 13 13 14 14 14 14 13 12 12 11 10 8 7 9 11 12 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 12 12 12 13 12 10 9 8 8 9 9 9 10 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 12 15 17 15 14 14 14 nan
nan 7 7 7 7 7 8 8 8 9 8 8 8 9 9 9 8 7 6 5 5 7 10 16 20 19 16 12 10 8 8 7 7 5 2 0 -1 2 7 9 10 10 11 10 10 9 9 10 11 12 12 11 10 9 10 10 12 13 13 12 10 7 5 3 3 4 5 7 9 10 10 9 8 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 9 10 10 11 11 10 10 9 10 10 11 11 11 11 13 14 13 13 12 13 14 15 15 15 15 16 16 16 16 16 16 16 15 14 13 13 12 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 11 10 9 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 8 10 12 13 14 13 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 1 0 0 0 0 0 2 5 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 25 46 74 105 133 146 132 129 131 139 135 140 175 238 332 427 523 587 587 571 537 511 560 615 546 481 424 372 332 303 278 260 262 237 197 155 132 131 156 234 332 389 439 420 338 268 265 308 367 373 270 170 108 73 52 41 35 26 20 15 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 5 7 9 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 4 5 4 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 34 50 71 108 138 144 149 138 145 145 138 144 164 202 250 362 458 520 560 564 539 596 601 521 434 353 283 236 213 190 211 230 238 224 186 147 124 111 124 196 272 328 329 284 255 288 397 536 617 515 354 216 128 89 67 58 49 36 24 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 4 4 6 7 10 14
0 0 0 0 0 0 0 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 2 3 4 3 1 1 1 0 1 1 1 1 1 2 2 2 3 2 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 1 7 15 26 40 55 83 125 144 151 146 147 148 141 142 142 147 169 226 286 348 413 463 451 487 466 415 352 282 213 158 140 139 147 189 234 245 225 194 159 140 138 150 181 225 244 234 245 306 470 617 731 701 543 359 215 148 120 103 83 59 39 27 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 4 4 6 8 9 13
0 0 0 0 0 0 0 0 0 0 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 3 4 3 2 2 3 4 3 2 2 2 2 2 2 4 5 5 3 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 3 9 17 27 39 59 101 127 137 139 141 141 135 131 139 138 155 167 179 210 259 311 334 346 341 323 288 240 189 138 114 115 148 208 252 254 233 199 162 146 130 131 147 164 173 179 211 275 407 541 642 679 644 565 387 282 218 182 147 110 80 55 34 21 10 4 2 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 4 5 6 7 9 11
6 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 1 1 0 0 1 1 1 1 0 0 0 1 0 1 3 6 6 5 5 6 6 7 7 6 5 4 3 3 2 3 3 4 6 6 5 4 4 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 1 4 10 18 35 47 76 104 122 132 136 141 124 134 141 143 145 140 136 156 180 200 229 248 257 251 227 195 161 127 111 111 129 182 235 235 212 177 154 151 151 147 138 131 126 126 161 224 319 418 503 581 676 738 598 461 365 305 260 218 170 118 69 39 21 13 8 5 2 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 4 5 7 9 10
31 12 3 0 1 1 0 0 1 1 2 3 3 4 4 4 4 4 5 5 4 2 0 0 0 0 1 2 1 0 1 2 2 5 7 7 6 6 8 10 11 11 10 7 6 5 6 6 6 5 5 5 6 6 7 8 7 6 4 3 2 1 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 17 34 56 82 109 129 140 149 138 151 146 126 116 120 121 135 135 142 166 185 196 191 159 133 116 114 118 115 120 155 199 206 183 153 138 142 144 128 111 107 106 100 125 183 258 332 398 463 597 690 654 577 505 441 392 358 320 262 160 78 47 33 18 11 8 6 3 2 2 3 2 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 2 4 5 8 9 9
77 42 17 6 10 9 6 7 6 5 4 5 6 6 5 5 6 6 6 6 5 3 2 1 0 0 1 1 0 0 2 3 3 6 8 9 9 8 8 8 9 10 9 7 5 5 9 9 10 10 10 9 9 8 7 7 7 7 6 5 4 3 3 5 5 3 1 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 21 37 61 91 116 136 166 185 162 135 119 98 93 97 106 104 104 116 123 118 109 96 83 82 88 109 131 143 156 164 162 138 117 111 116 119 116 108 100 96 92 107 149 211 272 321 362 446 522 564 575 563 526 486 462 466 449 352 213 119 63 32 21 16 12 9 5 2 2 2 1 1 0 0 1 2 2 4 4 4 3 2 2 3 1 0 1 1 1 1 1 2 3 5 6 7
115 91 67 46 45 35 27 26 22 17 12 9 8 6 5 5 6 6 6 6 5 4 3 3 1 0 0 0 0 0 1 1 1 2 6 11 13 11 11 11 10 10 10 10 9 8 11 10 9 10 11 11 10 11 11 9 8 7 5 4 3 4 5 6 5 3 1 0 2 4 4 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 21 39 65 85 113 156 196 182 167 168 107 68 77 84 82 79 81 84 80 74 67 62 68 89 124 152 158 143 123 119 104 94 96 104 111 123 117 111 108 102 100 121 167 215 253 276 313 372 433 462 468 481 491 503 555 602 560 397 214 110 66 44 30 21 15 11 7 5 3 2 1 0 0 0 2 3 5 5 4 3 3 4 8 6 3 2 1 0 0 0 1 2 3 5 5
125 121 118 114 108 91 79 72 62 49 36 30 23 13 8 10 12 13 11 9 8 8 5 3 2 1 1 1 1 1 1 2 3 3 5 8 11 12 13 14 14 14 15 15 15 14 12 10 8 6 5 5 7 8 8 8 6 5 5 6 6 8 8 8 8 6 3 1 3 5 4 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 30 47 85 126 196 226 201 205 148 72 69 68 58 53 58 62 57 50 52 57 67 86 113 139 150 122 101 93 87 85 90 101 110 117 120 126 138 147 139 136 149 170 186 194 212 253 306 338 375 424 474 521 592 672 683 546 328 197 126 83 55 37 28 22 19 14 9 5 3 1 0 0 0 1 2 2 2 4 3 5 10 11 9 7 4 1 0 0 1 1 3 5 4
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1 1 2 3 4 4 2 2 1 1 1 2 3 5 8 11 13 11 6 1 0 0 1 1 2 2 2 2 2 2 2 2 4 5 6 7 7 6 6 7 8 10 11 10 8 9 8 7 7 7 5 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 1 0 2 4 6 9 16 23 29 38 46 50 50 48 48 38 24 12 5 1 1 3 4 4 4 4 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 4 2 1 3 5 10 13 14 13 11 10 10 10 12 16 20 27 34 40 49 58 65 66 63 58 48 37 28 21 17 15 13 11 11 12 16 22 29 35 40 46 52 60 71 83 92 96 96 92 87 81 75 70 69 62 57 53 50 47 44
2 2 2 3 4 5 3 2 1 1 1 1 2 6 10 13 14 12 6 1 0 0 1 1 2 2 2 2 2 2 2 3 4 4 4 4 3 4 4 3 4 6 8 8 7 6 5 5 5 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 2 4 6 10 16 26 37 43 48 48 39 25 12 4 1 2 3 4 5 5 4 3 2 2 2 2 0 0 1 1 1 1 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 3 4 5 5 3 1 0 1 4 9 13 15 14 12 11 11 11 12 13 16 22 31 36 40 45 54 57 57 55 49 39 28 20 15 12 9 7 5 7 11 16 21 26 33 37 40 45 53 64 74 81 79 76 73 70 66 64 62 59 55 52 49 46 42
4 5 6 7 8 7 5 3 2 1 0 0 0 4 10 14 16 14 8 2 1 0 1 1 2 3 2 1 2 2 2 2 3 3 4 4 4 4 4 3 3 4 5 5 5 4 3 3 3 2 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 5 14 25 38 41 31 17 8 2 1 2 3 4 5 5 4 3 3 4 4 4 3 2 2 2 2 3 3 2 0 0 0 0 1 1 1 1 1 1 1 0 1 2 3 5 5 5 5 3 1 0 1 3 7 12 15 13 10 10 10 10 10 11 13 15 17 20 26 34 42 49 52 52 47 38 28 20 15 12 9 7 5 6 8 11 17 24 30 33 35 38 42 49 56 64 65 64 63 63 60 60 58 55 52 50 46 42 39
6 8 11 13 14 14 11 8 4 2 2 1 3 5 9 13 17 18 11 4 2 2 1 2 2 3 2 1 1 2 2 2 2 3 4 4 4 4 5 4 4 4 4 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 5 19 29 26 15 5 2 1 1 2 3 4 5 5 5 4 4 5 7 7 5 4 3 3 4 4 3 1 0 0 1 1 1 2 3 3 3 3 3 2 2 3 4 6 6 6 5 4 3 1 1 2 6 11 14 11 10 9 9 9 9 9 11 12 14 17 21 27 34 40 44 44 40 34 26 20 15 12 9 7 5 4 5 7 11 16 23 26 29 33 37 43 47 50 54 55 55 58 59 58 55 52 50 47 42 38 33
3 7 10 13 15 16 13 11 9 8 10 10 10 11 14 18 23 25 15 8 4 2 2 2 3 2 2 1 1 1 1 2 3 4 4 4 5 5 4 4 4 5 5 5 5 4 4 3 3 2 2 2 1 1 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 5 18 17 10 3 1 0 0 0 1 2 3 5 6 6 5 5 6 7 6 6 5 4 4 4 4 4 2 1 0 1 1 2 3 4 5 5 6 7 6 4 4 6 8 7 7 6 5 4 1 0 1 4 9 12 12 11 10 9 9 9 8 9 10 12 13 16 19 23 27 31 34 33 29 23 18 13 10 7 8 6 5 4 5 6 7 13 19 23 27 33 40 46 49 52 52 52 53 53 51 50 49 47 44 40 37 35
2 4 5 6 7 8 7 8 11 12 13 14 16 18 20 25 29 30 20 10 4 2 1 1 2 1 1 1 1 1 2 2 3 3 3 3 4 5 4 4 5 5 5 4 4 3 3 3 3 2 2 2 1 1 1 1 1 2 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 1 3 5 6 6 6 6 7 6 5 6 7 7 6 5 3 3 3 2 1 1 2 3 4 5 6 7 9 9 7 6 6 7 8 7 6 5 5 2 1 0 0 2 7 11 13 12 10 9 8 7 7 7 8 9 11 12 14 17 20 24 27 25 23 19 14 10 8 6 7 6 4 4 4 4 5 6 11 18 23 29 36 43 49 53 52 49 47 46 44 44 45 43 40 37 33 30
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