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 8 8 8 7 7 8 8 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 5 4 4 6 7 9 10 11 11 10 8 7 6 6 6 7 7 7 8 8 7 6 5 4 3 3 3 3 2 1 1 2 2 3 4 5 5 5 6 7 7 7 7 9 11 13 12 10 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 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 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 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 7 7 7 7 7 6 6 7 6 6 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 11 11 10 10 9 8 7 5 4 4 6 8 10 11 10 9 7 5 5 5 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 5 6 7 7 8 11 13 13 11 10 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 6 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 6 6 6 5 5 5 4 3 3 5 6 6 6 6 7 7 6 6 6 7 7 8 8 9 9 9 10 10 11 12 11 10 10 10 9 7 6 6 7 9 10 10 9 8 7 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 7 6 5 4 3 3 3 4 5 6 7 8 10 12 13 13 11 10 9 9 8 8 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 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 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 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 5 5 6 6 6 5 5 5 4 4 3 4 5 5 5 5 5 5 6 6 6 7 8 8 8 9 9 9 9 10 10 11 10 10 10 10 11 11 9 9 9 10 10 9 9 8 7 6 6 7 7 7 7 6 6 7 7 8 8 8 8 9 8 8 9 9 10 10 9 8 7 6 4 4 4 4 5 5 6 7 8 11 14 16 14 12 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 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 7 8 7 7 7 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 10 11 12 11 10 10 9 9 8 8 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 7 7 7 8 8 7 7 8 8 8 8 7 6 6 5 4 4 5 6 7 8 11 16 19 19 17 13 11 10 9 9 9 9 9 9 9 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 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 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 5 5 5 6 6 6 6 6 6 6 6 6 5 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 11 11 10 10 9 8 7 7 7 6 6 6 6 6 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 6 6 7 8 8 8 8 7 6 5 4 4 6 7 7 8 11 15 19 21 21 19 15 12 11 10 10 10 10 10 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 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 7 7 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 nan
nan 5 5 5 6 6 6 6 6 6 7 7 8 7 6 6 7 9 10 11 11 10 10 9 9 8 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 9 8 7 6 6 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 7 8 8 9 10 11 14 19 22 23 21 17 15 13 12 11 11 10 10 10 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 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 7 7 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 nan
nan 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 8 9 10 11 11 10 10 10 9 8 7 7 8 9 9 9 8 8 7 6 6 6 7 8 8 8 7 6 5 5 5 4 4 3 4 5 5 6 6 6 7 7 7 6 6 7 7 8 8 7 6 6 6 8 9 10 9 9 8 7 7 7 8 8 9 9 9 9 9 11 14 18 22 25 25 23 20 18 15 13 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 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 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 6 6 6 6 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 9 9 10 10 9 8 7 7 8 8 8 8 7 6 5 5 5 5 6 7 7 6 5 4 4 5 5 5 5 5 6 7 8 9 9 8 8 8 7 7 7 8 9 8 8 7 6 5 6 8 9 9 8 7 7 7 8 9 9 10 10 9 9 9 9 10 13 17 22 26 28 27 24 20 16 13 12 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 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 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 nan
nan 7 7 7 7 8 8 8 8 8 7 7 7 8 7 7 8 8 9 9 8 8 9 9 9 9 8 7 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 10 10 9 9 9 8 8 7 7 8 8 8 8 7 6 5 6 8 8 8 7 6 7 8 9 10 10 9 8 8 8 9 9 10 12 14 18 22 25 25 23 20 16 13 12 11 10 10 10 9 9 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 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 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 7 7 7 6 7 7 8 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 7 7 7 7 8 9 9 9 8 6 6 6 7 7 7 6 7 8 9 9 9 9 8 8 8 9 9 9 9 9 11 13 16 20 23 23 21 17 13 12 11 11 10 10 9 9 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 6 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 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 7 7 6 6 7 8 9 9 9 9 9 9 10 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 9 9 10 10 9 6 6 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 10 15 20 24 25 23 18 15 12 11 11 10 10 9 9 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 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 7 9 9 10 10 11 10 9 8 9 10 11 11 11 9 8 7 7 7 7 7 8 9 9 9 9 9 9 7 6 5 5 6 6 5 5 5 5 6 6 7 7 7 8 8 7 7 8 8 7 6 6 7 7 8 8 8 7 7 8 8 8 9 10 11 10 8 6 6 6 6 6 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 11 15 20 25 27 25 21 16 13 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 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 7 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 nan
nan 7 7 7 8 10 11 10 10 10 10 9 8 8 9 10 11 10 8 7 6 7 7 7 7 7 8 8 9 8 8 8 7 7 6 6 6 6 6 5 5 6 6 6 7 7 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 9 10 10 9 7 6 7 7 7 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 9 11 14 19 25 27 26 22 17 13 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 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 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 10 10 9 9 9 9 10 9 9 10 11 11 9 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 12 17 23 26 25 21 16 13 11 11 10 10 9 9 9 9 9 8 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 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 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 7 8 9 9 9 8 8 8 8 9 9 10 11 11 10 8 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 6 5 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 11 15 20 23 22 18 14 12 11 10 10 10 10 10 9 9 9 9 9 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 6 nan
nan 7 7 7 8 9 8 7 7 8 8 8 9 10 11 10 9 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 7 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 10 14 19 21 20 16 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 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 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 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 7 7 8 8 7 7 7 8 8 9 10 11 10 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 10 11 12 11 9 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 10 15 20 21 19 16 14 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 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 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 10 8 7 6 7 7 7 7 7 8 8 9 10 10 10 8 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 11 12 11 11 10 9 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 8 7 7 9 12 18 22 23 21 18 15 13 13 14 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 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 8 8 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 10 8 6 6 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 5 5 6 7 7 7 7 7 7 6 5 5 5 6 8 8 9 9 10 11 11 12 12 12 11 10 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 8 10 14 19 23 25 25 24 23 22 21 19 16 14 13 12 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 9 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 8 9 9 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 nan
nan 9 8 6 6 6 7 8 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 6 5 5 6 6 6 7 7 7 7 6 5 5 6 7 8 9 9 9 10 11 12 13 14 14 14 12 10 9 8 8 8 8 8 8 8 9 9 8 9 9 8 8 8 8 8 10 13 18 22 26 28 30 30 28 26 22 18 15 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 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 6 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 6 7 7 6 6 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 8 8 7 7 6 6 7 7 7 7 7 6 6 7 8 9 9 9 9 10 11 12 13 13 14 15 15 14 11 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 8 8 9 12 15 19 21 24 26 27 26 23 20 17 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 6 6 7 8 9 10 10 10 9 9 9 8 7 7 7 8 8 8 7 7 6 6 6 5 6 6 6 6 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 7 7 7 7 7 9 9 9 9 9 10 10 11 12 13 13 13 13 14 14 13 12 11 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 10 11 12 13 14 17 20 22 21 19 16 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 11 10 9 8 7 7 8 9 9 10 10 9 8 8 7 6 6 7 7 7 7 6 6 6 6 5 5 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 11 11 11 12 12 11 11 12 12 12 11 11 11 11 11 11 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 11 15 21 23 23 20 17 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 nan
nan 11 11 11 10 10 9 9 8 8 8 8 9 8 8 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 8 7 7 6 6 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 12 17 22 24 24 22 18 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 11 11 11 11 11 10 9 8 7 7 7 8 9 8 7 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 7 7 8 8 8 9 9 8 8 7 5 5 5 7 8 8 9 10 11 11 11 11 11 10 9 8 9 10 11 12 14 15 15 15 14 14 12 11 10 9 9 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 12 16 21 25 26 25 21 18 15 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 nan
nan 10 11 11 11 11 10 9 9 8 7 8 8 9 9 8 7 6 6 6 7 7 6 6 6 5 5 4 4 4 5 6 7 7 8 8 8 8 8 7 7 6 4 5 6 7 8 9 11 13 13 12 12 11 9 8 7 8 11 12 14 15 15 16 16 16 15 14 14 12 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 11 15 20 25 27 27 24 21 19 18 17 16 15 14 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 8 7 7 7 nan
nan 9 10 10 10 10 9 10 10 10 9 9 8 8 9 8 7 6 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 7 6 6 7 7 8 10 12 13 12 10 9 8 7 6 6 8 10 11 12 13 14 15 16 16 16 15 15 14 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 10 13 17 22 26 27 27 27 27 27 26 23 19 15 14 13 13 12 12 11 11 10 11 11 11 12 12 12 13 13 12 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 7 8 8 9 9 9 8 8 7 7 7 7 nan
nan 8 8 8 8 8 8 9 10 10 9 9 8 7 7 7 7 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 7 8 9 8 8 7 7 8 10 12 12 10 8 6 6 5 5 5 6 7 9 10 11 12 13 15 16 16 16 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 9 9 9 11 15 19 24 27 29 30 31 31 28 22 18 15 14 13 12 12 12 11 11 10 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 8 7 7 7 7 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 5 5 5 5 5 6 7 8 8 8 8 9 9 9 9 8 7 6 5 5 5 6 7 8 8 8 8 8 10 12 13 11 7 4 3 3 3 4 5 6 7 8 8 9 10 12 14 16 16 16 16 16 15 15 15 14 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 9 9 9 8 8 8 9 9 8 8 10 12 15 19 21 21 21 21 20 18 16 14 13 13 12 12 12 12 11 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 9 8 8 7 7 nan
nan 8 8 7 7 8 8 7 7 7 6 7 7 8 8 7 6 6 6 6 6 6 6 7 8 9 9 9 10 10 10 10 10 9 8 6 5 5 6 6 6 7 8 9 10 12 13 12 9 6 3 2 2 4 5 6 7 7 7 7 7 9 10 11 12 13 15 16 17 17 17 17 16 14 13 11 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 9 9 8 8 7 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 11 12 12 10 8 7 9 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 nan
nan 8 7 7 8 9 9 9 8 7 6 6 7 8 9 9 9 9 9 8 8 8 8 8 9 10 11 12 11 11 11 12 12 12 11 9 7 6 6 6 6 6 7 9 11 12 12 12 10 8 5 4 4 6 7 7 7 7 7 7 7 8 8 8 8 10 13 15 16 17 18 18 17 16 14 13 12 11 11 10 11 10 10 10 10 10 10 9 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 7 5 4 5 7 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 nan
nan 8 7 7 8 9 9 9 8 8 7 6 6 8 9 11 12 12 11 10 10 10 10 11 11 12 13 13 13 13 13 13 13 13 13 11 9 7 6 6 7 7 7 7 9 10 12 12 12 11 9 8 8 8 8 7 7 7 8 8 9 8 8 8 8 9 11 12 12 12 13 13 13 14 13 13 12 11 11 11 11 11 11 12 11 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 10 12 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 8 7 7 8 9 9 8 8 7 7 6 7 8 9 11 12 12 11 10 9 10 11 11 12 13 13 13 13 13 12 12 12 12 12 12 10 9 9 9 8 7 6 6 8 9 11 12 13 12 12 12 11 10 8 6 5 6 7 8 8 8 8 8 8 8 8 8 7 6 5 6 7 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 10 13 17 20 22 22 19 16 13 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 7 7 8 8 8 8 8 7 7 7 7 8 8 9 10 10 9 8 8 8 9 10 11 11 12 12 11 11 11 10 11 11 11 11 10 10 11 11 9 7 7 7 8 9 9 10 11 12 13 13 12 11 8 5 3 3 3 5 6 7 7 7 7 6 5 4 3 2 2 2 4 5 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 12 15 20 23 26 27 28 27 24 19 15 12 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 13 13 14 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 nan
nan 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 8 9 9 10 10 10 10 10 9 9 10 10 10 10 9 10 11 11 9 8 8 9 9 9 9 9 10 12 13 13 12 10 8 6 4 2 1 2 3 4 5 5 4 4 4 3 3 3 4 5 6 7 8 8 8 7 7 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 12 15 18 18 19 21 24 27 27 23 18 13 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 9 9 9 9 10 11 10 9 8 8 9 9 9 9 9 9 11 12 12 11 10 9 8 7 6 3 1 2 2 3 3 3 3 3 4 4 5 6 8 9 9 8 8 8 8 8 7 7 6 6 5 6 7 8 8 7 8 8 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 8 7 7 9 11 12 11 10 12 15 20 23 23 20 15 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 11 11 10 8 8 8 9 8 8 8 8 9 11 11 11 10 10 10 10 8 5 3 3 3 3 3 3 4 4 4 5 5 7 8 9 8 7 7 8 9 9 9 9 8 7 7 7 8 7 7 7 8 8 8 7 8 9 9 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 8 7 6 7 9 14 18 17 15 12 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 11 11 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 11 10 10 9 9 8 7 7 7 7 8 9 10 10 11 11 11 11 8 6 6 6 6 5 5 5 6 6 5 5 5 6 7 7 6 6 6 7 8 9 9 10 10 9 9 9 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 8 8 8 7 8 8 7 5 2 -1 -2 0 4 8 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 7 8 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 8 9 9 10 10 11 10 8 7 7 7 7 7 8 8 9 10 11 12 12 10 8 8 8 8 8 8 8 8 8 7 6 5 6 6 6 5 5 5 7 7 8 9 10 10 9 9 9 9 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 7 6 2 -3 -6 -7 -5 -1 2 4 5 6 6 7 7 7 7 8 8 9 9 9 10 10 9 9 9 10 10 10 11 11 12 13 13 13 14 14 13 13 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 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 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 10 9 8 7 7 6 5 4 5 7 8 10 10 10 9 7 6 7 8 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 11 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 11 12 12 11 10 10 10 12 13 13 13 14 15 16 16 14 11 8 6 6 9 12 16 18 18 17 17 19 20 18 15 13 12 11 11 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 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 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 8 8 9 9 10 10 10 11 10 9 8 7 6 5 6 7 10 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 12 13 14 14 13 12 10 10 10 10 10 9 9 9 9 9 9 10 12 12 12 11 10 11 11 13 14 14 14 14 14 14 15 14 11 6 1 -2 -3 -2 -1 2 4 8 12 14 13 12 11 10 10 10 11 11 11 12 13 13 13 14 14 14 14 14 14 14 14 14 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 8 8 8 8 9 10 11 12 12 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 11 13 14 14 14 13 12 12 12 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 13 14 14 13 14 15 18 21 22 21 15 10 6 3 2 4 6 7 8 8 10 11 11 11 11 11 11 11 11 11 12 12 13 15 15 15 14 14 14 14 14 14 14 13 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 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 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 12 12 12 12 13 14 14 14 13 12 11 11 11 10 10 10 11 11 11 10 10 9 10 12 13 13 13 14 17 20 23 27 29 27 25 23 23 24 25 24 21 19 20 21 21 20 17 16 14 13 12 12 13 15 18 20 20 17 15 14 14 13 13 13 13 13 nan
nan 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 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 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 7 5 3 1 -0 0 2 3 3 3 4 6 8 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 10 11 12 12 11 9 9 10 11 12 12 11 12 13 16 20 25 28 29 30 32 33 35 35 33 33 33 33 32 32 30 26 23 20 18 17 17 19 22 23 22 19 16 14 13 13 13 12 12 12 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 10 9 10 10 10 9 9 9 9 8 8 7 7 8 9 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 7 4 2 -1 -5 -7 -9 -10 -10 -9 -8 -7 -6 -2 2 7 9 10 9 8 8 9 9 10 11 11 11 10 10 10 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 11 12 12 12 12 11 11 11 10 10 10 11 12 13 13 12 11 11 10 11 11 10 10 10 10 12 14 17 20 21 23 24 26 27 28 29 31 32 33 34 35 33 30 29 28 26 23 21 19 18 18 18 18 16 14 14 13 13 12 12 nan
nan 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 6 3 0 -2 -1 0 2 5 8 11 12 12 12 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 8 5 1 -1 -3 -5 -7 -8 -9 -10 -11 -12 -13 -13 -12 -9 -5 -0 5 7 8 8 9 9 10 10 11 11 10 10 10 10 11 11 11 11 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 11 11 11 11 10 11 11 11 11 11 12 13 13 13 13 12 11 11 11 10 10 9 9 9 9 10 11 12 13 14 14 16 17 18 20 21 23 24 26 28 30 30 31 30 28 23 18 16 18 21 23 22 21 18 16 14 13 13 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 6 3 -2 -6 -10 -11 -11 -8 -4 1 6 8 9 11 13 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 6 2 -0 -2 -2 -3 -3 -2 -2 -1 -2 -2 -3 -5 -6 -8 -9 -8 -6 -2 1 3 6 8 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 10 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 12 12 12 11 11 10 10 9 9 9 9 10 11 12 12 12 13 13 13 13 14 14 16 18 21 23 23 24 26 25 22 20 20 22 22 22 20 18 16 14 13 13 nan
nan 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 7 7 8 7 4 0 -3 -6 -9 -11 -12 -12 -9 -4 -1 3 6 9 11 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 10 11 11 11 10 10 9 7 5 5 4 3 3 4 6 7 7 8 8 7 4 0 -4 -9 -12 -12 -10 -7 -3 0 2 4 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 11 12 13 14 14 13 12 12 11 10 9 9 10 10 11 12 12 12 12 11 11 11 11 10 10 11 12 13 13 14 16 18 20 20 17 14 11 9 9 9 10 11 12 12 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 8 7 8 8 8 5 2 -1 -2 -3 -3 -5 -6 -6 -6 -5 -3 1 5 8 9 10 11 12 13 13 12 12 11 11 10 9 8 8 8 8 9 10 11 12 11 11 12 13 15 16 17 16 15 15 15 15 15 14 13 12 12 12 11 9 5 -0 -5 -8 -10 -10 -10 -9 -8 -6 -3 -0 3 5 6 5 6 6 7 8 9 9 9 10 10 10 10 11 11 11 10 9 8 6 6 7 8 10 10 10 9 9 9 10 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 11 12 13 15 15 14 13 13 11 10 10 10 10 10 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 10 6 2 -0 -0 2 4 7 10 11 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 4 1 -0 -1 -1 -0 0 0 0 0 -0 1 5 8 10 9 9 10 11 12 11 10 10 9 8 8 7 7 7 8 9 10 10 11 11 10 11 12 14 18 21 24 25 25 26 28 28 25 22 19 17 15 14 14 13 11 9 8 6 2 -1 -5 -8 -11 -12 -10 -6 -2 2 5 4 3 4 5 6 6 7 8 8 9 10 10 11 11 11 10 9 9 8 8 8 9 10 11 12 12 12 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 10 11 12 14 14 14 14 14 12 11 10 9 9 10 12 12 13 13 12 11 10 10 9 10 10 10 10 10 9 9 9 9 10 9 7 6 4 4 4 5 7 9 10 11 12 nan
nan 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 8 8 8 9 8 6 3 1 1 1 1 1 2 3 4 5 6 8 10 11 10 10 10 10 11 10 9 8 8 7 7 7 6 7 8 9 10 9 9 9 9 8 8 10 11 14 16 19 21 23 23 24 25 25 25 25 23 21 18 16 14 14 13 13 13 12 9 6 3 -1 -5 -7 -8 -8 -7 -4 -2 -1 1 3 4 4 4 5 7 8 10 10 10 10 10 10 10 12 13 13 12 11 11 12 13 13 12 12 12 12 11 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 8 9 10 12 13 14 15 14 12 11 10 9 9 11 12 12 13 13 11 11 10 10 9 9 9 10 10 10 9 9 9 8 6 5 5 6 7 8 9 9 10 11 11 12 12 nan
nan 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 4 2 1 1 1 2 2 3 5 6 7 9 11 12 12 10 11 11 10 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 9 7 6 9 14 20 25 26 25 22 20 17 15 14 14 14 14 13 12 11 9 7 2 -3 -7 -11 -13 -11 -9 -6 -2 1 2 3 4 5 6 7 8 8 9 9 9 11 12 13 14 13 12 11 11 11 11 11 10 11 12 12 11 10 9 8 9 9 9 8 8 7 6 6 5 5 6 7 7 8 9 10 12 13 13 12 11 11 10 10 10 11 12 13 13 12 11 11 10 10 10 9 9 10 10 10 10 9 7 5 3 2 3 5 6 8 8 9 10 11 11 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 3 2 1 2 3 3 4 5 6 7 8 10 12 13 13 13 12 11 10 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 7 4 -1 -4 -4 -1 5 12 17 22 24 25 24 21 18 16 15 14 14 14 13 14 13 12 10 6 2 -3 -7 -10 -11 -10 -7 -4 -1 1 3 3 3 4 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 12 11 10 9 9 9 9 8 8 8 8 7 6 6 6 6 7 8 8 9 10 11 11 11 11 11 10 11 11 11 11 12 12 11 12 11 10 10 10 10 10 10 10 11 11 11 9 6 4 3 4 5 6 7 8 8 9 10 10 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 4 3 3 3 4 4 4 6 7 8 10 11 12 13 14 15 14 12 10 9 9 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 7 5 2 2 4 6 9 11 13 16 20 23 25 25 23 21 19 18 17 17 16 17 17 17 16 15 13 9 6 1 -3 -7 -9 -8 -6 -3 -0 1 1 2 2 3 4 4 3 3 4 4 5 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 11 10 9 9 10 11 10 10 9 8 7 7 7 7 8 9 10 10 10 10 9 10 10 10 10 10 11 10 11 11 11 10 10 10 10 10 10 11 12 12 13 14 13 13 12 10 9 8 7 8 8 9 9 9 10 11 nan
nan 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 4 4 5 6 7 9 10 11 12 13 15 15 13 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 9 10 12 16 19 20 18 15 13 14 15 18 21 25 26 27 26 25 25 25 25 25 26 26 25 22 19 16 14 11 8 2 -2 -6 -8 -8 -5 -1 1 3 3 3 4 4 3 4 4 5 7 8 9 9 9 8 9 9 9 8 7 8 8 9 9 10 11 11 11 10 9 9 10 10 10 10 9 7 7 6 7 8 9 10 10 9 8 8 9 10 10 10 11 10 10 11 11 10 10 10 9 9 10 10 11 11 11 13 16 19 22 20 17 13 11 9 9 9 9 9 9 9 10 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 4 3 3 4 6 8 10 11 11 11 12 15 15 12 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 13 17 21 23 22 19 15 14 13 13 13 16 20 24 27 28 29 30 30 31 31 31 30 29 28 25 23 21 19 17 14 10 5 -1 -5 -5 -2 2 5 6 6 6 6 6 6 7 8 9 10 10 10 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 8 8 7 6 6 7 9 10 10 10 9 9 9 10 10 10 11 11 10 10 11 10 10 10 9 9 9 9 10 11 11 11 12 15 18 21 21 18 15 12 10 10 9 9 9 9 9 10 nan
nan 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 8 5 3 1 1 2 3 5 7 9 10 11 11 11 13 16 17 15 14 13 12 12 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 12 14 16 16 15 13 12 12 12 12 12 13 15 17 19 22 23 24 25 25 25 24 24 24 26 28 28 27 27 26 26 23 20 15 10 8 7 8 8 9 9 8 8 7 7 7 8 7 7 7 7 7 8 9 10 10 11 11 10 10 9 7 6 7 8 9 9 8 7 6 5 4 5 7 7 8 8 8 9 10 11 11 10 10 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 10 11 11 11 12 13 14 16 16 14 12 11 10 9 9 9 9 9 10 10 nan
nan 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 8 5 2 1 0 1 2 4 6 8 9 10 11 11 12 16 20 21 21 19 15 13 12 11 11 11 12 11 11 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 11 12 11 10 9 7 6 7 8 10 11 11 12 13 13 15 16 16 16 16 16 15 15 16 18 22 25 26 28 29 29 29 28 26 25 22 19 15 12 11 10 9 8 8 8 7 7 6 5 5 5 6 7 8 9 9 10 10 11 10 8 6 5 6 7 8 9 9 8 7 6 5 6 8 9 10 10 10 10 10 12 12 12 12 11 11 10 10 9 9 10 11 11 11 11 10 10 9 9 9 10 10 11 11 11 12 14 15 16 15 12 10 9 9 9 9 9 10 10 10 nan
nan 8 9 9 9 9 9 8 8 9 10 10 10 10 10 10 9 9 9 9 8 6 4 3 2 2 2 3 5 7 8 10 10 11 11 13 19 23 25 23 19 15 13 12 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 10 9 6 2 0 1 3 7 9 10 11 12 12 12 12 12 12 12 11 11 11 11 12 14 17 19 20 20 20 21 23 24 24 22 19 15 12 11 10 9 8 8 8 9 8 8 7 7 7 8 8 9 9 9 10 10 11 11 11 11 9 9 10 10 10 9 9 9 9 9 10 11 12 13 13 12 11 11 12 13 13 12 11 9 9 9 9 9 10 11 11 11 11 10 10 9 9 10 10 10 11 11 11 12 15 19 22 19 15 11 9 9 8 9 9 9 10 10 nan
nan 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 6 4 3 2 2 3 5 6 8 9 10 11 11 12 17 24 28 27 23 16 13 12 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 12 11 11 11 10 10 10 10 10 10 9 5 1 -1 -2 -0 2 5 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 10 10 10 11 12 11 11 10 10 10 9 9 10 9 9 9 9 8 7 7 7 7 9 9 9 9 10 10 11 12 14 15 16 15 14 14 13 12 12 12 12 12 13 14 14 14 14 14 13 12 13 13 13 12 10 9 8 8 8 9 10 10 11 11 10 10 9 9 9 10 10 11 10 10 10 11 15 20 23 24 19 15 11 9 9 8 8 9 10 11 nan
nan 11 11 10 10 10 9 10 10 11 10 10 10 10 10 9 9 8 8 9 9 7 5 3 2 3 4 6 7 8 9 10 11 12 15 23 30 31 27 19 13 11 11 12 12 12 11 11 11 12 13 14 14 15 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 8 6 4 2 1 -0 -0 1 5 8 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 7 4 0 -1 -1 0 1 2 4 5 5 5 6 8 9 8 6 4 2 1 -0 -0 -0 1 2 3 5 7 10 12 13 14 16 18 19 19 18 17 16 16 15 14 13 12 12 12 12 13 13 12 13 13 15 15 13 11 9 8 8 8 9 9 10 11 10 10 10 10 10 10 10 10 10 10 10 9 10 12 17 22 24 23 18 14 10 9 9 9 9 10 11 nan
nan 11 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 10 9 8 7 6 5 5 6 7 8 9 10 10 11 13 18 26 30 27 20 14 12 12 13 14 13 12 11 11 11 13 13 14 14 14 14 13 12 12 11 11 10 10 10 10 10 10 10 11 10 8 7 6 5 4 3 2 3 5 8 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 8 5 1 -2 -4 -5 -5 -4 -4 -4 -4 -3 -2 -1 0 -1 -2 -4 -6 -7 -8 -8 -8 -9 -9 -8 -6 -2 3 7 10 11 13 15 17 18 18 18 17 17 16 14 13 11 10 10 10 10 11 11 12 14 16 16 14 12 10 9 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 10 12 18 23 25 22 17 13 11 9 9 10 10 11 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 8 6 6 7 8 9 10 11 11 14 19 25 24 18 12 10 12 15 16 16 14 12 11 11 12 13 13 13 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 9 7 6 6 6 7 7 6 5 6 8 9 10 11 11 11 11 11 11 11 12 12 11 11 11 12 13 15 15 14 10 6 2 -0 -2 -3 -5 -7 -7 -8 -8 -8 -8 -7 -6 -5 -5 -5 -7 -8 -9 -11 -12 -12 -11 -9 -6 -2 3 8 11 13 13 15 15 15 14 13 12 11 10 9 9 9 10 10 11 12 14 16 16 15 14 12 10 9 9 8 9 9 10 11 11 11 10 10 9 10 10 10 10 10 10 9 9 10 14 20 24 25 21 17 13 11 11 10 11 11 nan
nan 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 11 10 9 7 6 6 7 8 10 10 11 12 14 19 22 17 13 10 12 15 16 15 13 12 11 11 12 13 13 12 12 12 12 11 11 10 9 6 5 5 5 7 8 9 10 10 10 8 6 5 5 6 8 9 8 8 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 13 16 21 24 25 24 21 16 12 9 6 4 3 -0 -3 -4 -4 -4 -3 -1 1 2 2 1 -0 -1 -2 -4 -7 -10 -13 -13 -10 -3 3 7 9 10 11 13 13 12 11 11 10 9 9 9 9 10 10 11 12 14 15 15 15 14 13 12 10 9 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 10 12 16 22 25 25 21 16 13 12 11 11 11 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 9 7 5 5 6 7 9 9 10 11 13 18 19 16 14 14 15 15 13 11 9 9 10 12 13 13 13 12 12 11 11 10 9 8 6 2 -1 -1 -0 3 6 8 9 9 9 7 6 5 5 7 8 9 10 11 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 15 19 23 26 28 28 26 23 20 17 15 13 12 9 8 7 7 6 6 7 7 7 7 8 9 9 8 4 1 -3 -5 -4 -2 1 4 6 8 10 12 12 12 11 11 10 9 9 9 9 10 11 11 12 13 14 14 14 14 14 13 11 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 13 19 24 27 25 20 17 15 14 13 12 nan
nan 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 11 9 6 4 4 5 6 7 8 9 11 13 16 17 17 17 18 16 13 11 9 9 10 12 13 14 14 14 13 12 11 11 10 10 9 6 3 1 -0 -0 2 5 7 8 9 8 7 5 4 5 7 8 9 10 13 15 15 15 14 13 13 13 13 12 12 11 11 11 10 10 11 11 12 13 16 19 23 26 27 27 27 25 23 23 22 21 19 18 16 15 14 14 14 15 17 18 19 18 16 14 12 10 7 5 2 1 2 4 7 9 11 12 12 12 11 10 9 9 9 9 9 10 10 11 12 12 13 14 15 15 14 12 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 12 16 21 26 28 27 24 23 21 19 17 nan
nan 10 10 10 11 12 12 12 11 11 10 10 11 11 11 11 12 12 12 13 13 12 11 9 5 3 2 3 4 6 8 10 11 13 15 16 17 19 18 14 12 11 10 11 12 13 14 15 15 15 15 14 14 13 13 12 12 10 10 10 9 6 6 5 5 5 5 4 2 2 3 6 7 8 9 10 12 13 13 14 13 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 12 13 15 19 22 25 27 29 29 30 30 30 28 27 26 25 25 25 26 27 28 29 27 25 22 20 18 17 15 12 8 5 4 5 7 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 14 16 16 14 11 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 12 12 13 13 13 12 12 13 17 22 26 29 29 27 27 26 25 nan
nan 9 10 10 11 11 12 12 11 11 11 11 12 12 12 12 12 13 12 12 12 11 10 8 4 1 1 1 4 7 9 11 12 13 14 16 18 19 16 13 12 11 12 12 13 13 13 13 14 15 16 16 16 15 13 13 13 14 17 18 17 13 9 5 1 -0 -2 -4 -4 -1 3 6 8 9 10 11 12 13 13 12 12 12 12 12 12 11 11 11 11 10 10 11 11 12 14 13 12 11 11 12 14 17 20 23 26 27 28 30 30 31 31 31 32 33 33 32 31 30 28 27 25 23 22 21 21 20 17 13 11 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 15 17 16 13 10 8 8 9 9 10 11 11 11 11 10 10 9 9 10 11 13 14 15 15 15 14 13 13 14 17 20 22 23 24 26 28 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
24 20 16 14 12 13 14 14 13 13 15 16 16 15 13 11 12 13 13 12 11 9 6 2 0 0 0 0 0 0 0 0 0 1 2 4 7 9 9 9 8 8 7 8 8 8 8 7 7 5 3 2 1 2 3 3 4 6 7 8 8 8 8 7 7 7 6 7 5 2 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 9 12 14 18 24 31 36 41 46 48 50 51 50 50 48 46 43 40 38 34 29 28 26 25 24 24 26 24 24 22 22 23 24 24 25 26 26 26 26 27 27 27 27 27 28 29 31 34 36 38 38 38 38 37 38 37
19 15 11 8 7 10 12 14 14 14 15 15 15 14 12 10 9 9 10 9 8 7 5 2 1 0 0 0 0 0 0 0 0 1 1 3 5 6 7 8 11 11 10 9 8 8 7 5 4 2 1 1 1 1 1 2 2 4 4 5 6 5 6 6 5 4 4 2 2 2 2 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 0 0 0 0 0 0 1 4 5 7 8 11 14 18 22 29 36 41 46 50 53 52 52 51 49 47 45 42 39 36 34 31 28 26 26 28 27 25 23 23 23 23 24 24 25 24 25 24 24 25 26 26 26 26 28 30 34 36 36 36 35 36 35 36 37
16 12 7 4 5 8 11 13 14 15 16 15 14 11 11 9 8 8 9 8 8 7 6 4 3 2 2 1 1 1 0 0 0 1 1 1 2 3 3 4 7 10 10 9 8 7 6 4 2 1 2 1 1 0 0 1 1 3 2 3 3 4 4 4 4 4 4 5 5 5 5 5 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 0 0 0 0 2 4 5 6 8 11 14 17 22 29 35 42 47 50 53 55 55 54 52 49 46 43 40 38 36 33 32 31 30 28 26 24 23 23 23 23 24 24 24 23 23 22 22 24 24 24 26 27 29 31 33 34 39 41 36 33 35 38
14 10 6 5 7 9 10 12 13 15 17 17 15 13 13 11 9 8 8 8 7 6 5 4 4 4 5 4 3 2 0 0 0 0 0 0 1 1 2 3 5 7 8 7 6 4 3 4 4 3 4 2 1 1 1 1 0 1 1 2 3 3 3 3 3 4 5 6 6 6 6 7 7 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 10 14 18 22 27 35 42 48 53 56 59 61 58 55 51 47 44 42 40 37 35 35 34 33 29 27 24 22 22 22 23 23 24 24 23 22 21 21 21 22 23 25 26 27 27 30 39 39 33 31 35 41
13 11 9 9 9 10 10 11 12 15 17 19 18 17 16 15 14 13 12 8 6 5 5 3 4 5 6 5 4 2 0 0 0 0 0 0 0 0 1 3 3 4 5 6 5 4 2 3 4 3 4 3 2 2 1 1 0 1 2 4 4 4 3 3 3 4 4 5 6 6 6 7 8 8 8 6 5 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 0 0 1 3 5 6 7 10 15 18 21 28 35 42 48 54 61 68 68 65 58 52 49 46 43 40 38 37 37 35 33 31 28 22 21 21 22 22 23 24 25 24 22 21 20 20 21 22 24 25 25 28 34 36 34 32 36 41
16 13 11 11 11 11 11 11 12 14 17 19 20 19 19 20 19 17 13 8 6 6 5 5 5 6 6 4 3 2 0 0 0 0 0 0 0 0 1 0 2 4 5 6 5 3 1 1 2 2 3 3 2 1 1 1 2 4 5 6 7 7 7 7 6 7 6 6 6 6 7 7 7 7 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 12 14 18 22 26 33 42 50 58 69 75 75 70 64 58 55 50 45 41 40 39 38 36 35 33 29 26 25 24 23 24 24 25 24 23 21 21 21 22 24 25 26 25 26 29 32 32 32 38 39
19 17 14 13 13 12 13 15 17 18 18 18 18 17 19 19 18 15 12 9 7 7 7 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 3 5 6 5 3 1 0 0 0 1 1 1 1 0 1 3 5 7 9 9 10 10 10 10 10 9 8 7 7 8 8 7 7 7 7 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 7 10 14 18 21 25 35 44 52 62 70 75 76 75 71 67 62 56 50 45 41 39 38 37 37 35 34 32 31 29 27 26 24 22 22 23 23 24 23 27 27 26 24 25 27 28 30 36 40 37
20 20 19 19 17 16 16 18 18 18 18 17 16 16 18 18 17 15 12 10 9 9 8 8 8 8 7 5 3 1 0 1 0 0 0 0 0 0 0 2 3 4 3 2 1 0 0 0 0 0 0 0 1 2 4 7 8 10 11 11 10 10 10 10 9 9 8 7 8 9 9 8 8 7 7 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 14 17 21 28 36 44 52 63 73 80 84 81 79 74 67 60 53 48 43 40 39 39 38 38 37 36 36 33 31 30 27 26 25 25 25 25 27 27 25 24 25 24 27 31 36 38 34
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