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 9 9 9 8 7 8 9 10 11 11 11 11 11 11 10 9 9 9 9 9 8 8 9 10 11 10 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 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 8 8 8 8 7 5 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 11 12 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 13 14 15 16 16 15 14 13 12 11 10 9 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 7 7 8 10 11 12 12 12 13 14 14 11 10 9 10 10 10 9 9 9 11 11 11 10 9 9 9 8 8 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 6 6 6 7 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 7 7 8 10 11 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 10 11 12 13 15 17 17 16 15 14 13 12 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 7 6 6 8 10 11 12 12 13 13 14 14 12 10 9 9 10 10 9 9 8 9 10 10 9 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 12 14 16 16 17 17 16 14 12 11 9 9 9 8 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 nan
nan 10 9 7 6 6 8 9 10 11 11 11 11 10 10 10 9 8 7 8 8 8 8 7 6 7 8 7 7 7 7 7 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 6 6 7 7 8 8 8 9 10 11 10 9 9 9 9 10 10 10 9 10 9 9 9 8 8 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 9 9 10 12 14 16 18 18 16 15 13 11 11 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 nan
nan 9 8 6 6 7 8 10 10 11 10 10 8 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 8 9 9 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 11 12 13 13 12 12 12 12 11 11 12 12 11 11 10 9 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 13 16 17 17 17 17 15 13 11 10 10 9 8 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 6 7 9 10 11 10 9 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 12 15 16 17 16 15 15 14 15 15 15 13 12 11 9 9 9 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 11 12 14 15 16 18 17 15 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 8 9 9 9 9 8 7 7 6 6 5 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 10 10 9 9 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 8 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 10 11 13 16 18 19 19 19 18 18 18 16 14 12 10 9 8 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 10 11 12 12 13 14 15 15 15 14 13 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 7 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 10 10 9 8 8 8 9 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 10 13 15 18 20 20 20 19 18 16 13 10 8 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 10 11 12 14 16 17 18 19 18 16 14 13 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 nan
nan 7 8 9 10 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 7 6 6 7 8 9 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 12 14 16 17 17 16 15 13 10 7 5 4 4 6 7 7 7 8 8 8 9 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 13 15 18 22 24 23 21 19 17 14 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 nan
nan 8 9 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 7 7 7 8 9 9 9 9 9 9 9 10 11 11 11 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 11 9 6 5 3 2 2 3 5 6 6 6 6 6 7 8 9 10 11 11 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 9 9 9 10 12 15 20 23 23 22 21 19 16 14 12 12 11 11 11 10 11 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 nan
nan 9 9 10 10 8 7 6 6 7 7 7 8 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 9 9 10 10 9 9 8 8 7 4 1 0 1 1 2 4 5 5 5 5 5 6 7 7 8 8 9 10 10 11 12 13 13 13 13 13 12 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 9 8 9 11 13 16 18 19 21 20 19 17 15 13 12 12 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 10 10 10 10 9 9 10 9 9 9 9 9 9 9 8 8 7 7 6 4 1 -0 0 2 4 5 6 6 5 5 6 7 7 7 7 8 8 8 9 10 10 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 10 9 8 8 8 10 13 16 19 20 21 21 19 16 14 13 12 11 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 10 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 6 5 3 2 3 4 6 6 5 5 6 6 7 7 7 7 7 8 8 8 9 9 10 10 11 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 7 7 9 12 15 17 19 20 20 19 17 15 14 13 12 12 11 11 12 13 14 14 14 14 12 11 10 9 8 8 8 8 8 8 8 8 7 7 nan
nan 11 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 11 12 12 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 6 5 4 5 4 4 5 5 6 7 7 6 6 7 8 8 8 8 9 9 9 9 10 10 11 12 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 9 8 8 9 10 11 14 15 16 17 17 16 15 14 14 13 12 12 12 13 13 14 14 15 14 13 12 11 10 10 10 9 9 8 8 8 7 7 nan
nan 12 12 11 11 10 10 9 8 7 7 6 6 6 7 7 9 10 12 12 11 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 6 5 5 6 7 7 7 7 7 8 8 7 7 5 3 3 4 6 7 7 6 6 6 7 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 9 9 9 9 10 10 11 11 11 12 12 11 10 9 9 8 8 9 10 11 13 14 14 14 14 14 13 12 12 12 12 12 12 13 14 13 13 14 14 14 13 13 12 11 10 9 8 8 8 nan
nan 12 12 11 10 9 9 8 8 7 7 6 6 6 7 8 9 11 12 11 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 6 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 9 8 7 6 6 6 6 7 6 6 6 6 7 7 7 7 8 8 8 8 8 6 3 3 4 6 7 7 6 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 12 12 12 12 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 12 11 11 10 9 9 8 8 9 10 11 12 12 12 12 12 12 13 13 13 12 12 13 12 12 13 14 15 17 17 16 15 13 12 10 9 8 8 nan
nan 12 11 10 8 8 8 8 8 8 7 7 7 7 8 9 10 11 10 9 9 8 7 7 7 7 7 7 7 8 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 11 11 9 8 7 6 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 6 4 3 4 6 7 6 6 7 9 10 10 9 8 8 7 6 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 13 14 16 17 17 16 16 15 13 11 10 10 nan
nan 11 11 9 8 7 7 7 8 8 8 8 7 7 8 9 10 11 10 9 9 8 7 7 7 7 7 7 7 8 7 7 8 9 9 8 8 8 8 8 7 7 8 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 6 7 7 8 8 9 9 9 9 9 9 10 10 10 9 8 6 5 5 5 6 6 6 7 7 7 7 7 8 8 8 7 7 8 8 8 7 6 4 5 6 7 6 7 9 11 11 10 9 7 6 5 4 6 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 12 13 13 13 13 14 14 13 13 13 12 12 12 14 14 14 15 16 16 15 15 14 nan
nan 11 11 10 8 7 7 7 7 7 7 7 7 7 8 9 11 11 10 9 8 8 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 7 8 8 9 9 9 9 8 8 9 9 9 9 8 7 6 5 5 5 6 6 6 7 7 8 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 9 12 13 12 10 8 6 5 3 3 5 6 6 6 7 7 7 7 8 8 8 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 14 14 13 13 12 11 11 10 11 13 15 18 19 20 20 nan
nan 12 12 11 9 8 7 7 7 7 7 7 7 8 9 10 11 11 10 9 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 7 7 6 7 7 7 7 7 8 8 9 9 8 8 7 6 6 6 7 8 8 9 9 9 9 8 8 8 9 9 9 8 6 5 6 6 6 5 5 6 7 7 8 9 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 9 12 15 14 12 9 7 5 3 2 3 4 5 6 6 6 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 11 9 9 10 13 16 19 22 22 nan
nan 13 13 12 10 9 8 7 7 7 7 7 8 8 9 11 11 11 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 8 9 9 9 8 8 7 6 6 6 7 8 8 9 9 9 9 8 7 7 8 9 10 9 7 5 5 6 6 5 5 6 7 8 8 9 9 9 8 8 8 8 8 7 6 6 8 9 8 7 7 7 8 10 13 14 13 10 7 4 3 2 2 3 4 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 13 13 13 12 11 9 9 9 10 14 18 18 nan
nan 12 12 11 10 8 8 7 7 7 7 7 7 8 10 11 11 10 9 8 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 9 9 9 9 8 7 6 6 6 7 8 9 9 9 9 9 8 7 7 7 9 10 11 8 5 4 5 5 5 4 5 7 8 8 8 8 9 8 8 8 8 8 7 7 6 8 9 9 8 7 7 7 8 9 11 11 10 8 4 2 1 2 2 3 4 6 7 7 8 8 9 10 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 13 12 12 11 10 9 9 10 10 11 12 13 13 13 13 11 11 10 9 10 12 12 nan
nan 10 11 11 10 8 8 7 7 7 7 7 7 7 9 11 11 9 8 8 8 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 7 6 6 6 7 8 9 10 10 9 8 7 6 7 8 8 9 9 9 9 9 8 7 6 6 8 10 11 10 7 4 4 5 5 4 5 6 8 9 8 8 9 9 9 8 8 8 7 7 7 7 8 9 8 8 8 8 7 7 8 9 9 8 6 3 2 2 3 4 5 5 6 7 7 8 9 9 10 10 11 11 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 15 17 18 18 18 17 17 16 14 12 11 11 11 11 12 12 13 14 14 14 14 12 11 10 10 9 nan
nan 9 10 11 11 9 8 7 7 6 6 6 7 7 9 11 10 9 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 10 10 10 10 8 7 6 6 6 7 9 10 10 10 9 8 7 7 8 9 9 9 9 9 9 8 7 6 6 7 9 11 11 8 5 4 4 4 5 5 6 8 9 8 8 8 8 9 9 8 8 8 7 6 6 8 9 9 8 7 8 8 7 7 7 8 8 7 6 5 5 5 5 6 6 7 7 7 8 8 9 9 10 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 7 8 8 9 9 10 11 11 11 11 11 10 11 11 12 12 13 13 14 14 16 19 22 23 23 22 21 20 19 18 16 15 15 13 13 13 14 15 16 16 16 15 14 12 11 10 nan
nan 8 9 11 11 10 9 8 7 6 6 6 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 10 10 10 10 8 7 6 6 7 8 9 10 10 10 8 7 7 8 9 10 10 10 10 10 8 7 6 6 7 9 11 12 10 7 4 3 3 4 5 6 7 8 9 8 8 8 8 9 9 8 8 7 7 6 7 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 11 11 11 12 13 14 15 15 14 13 13 14 16 19 20 21 22 23 23 24 23 21 20 18 16 15 16 16 17 17 17 16 16 15 14 13 12 nan
nan 9 9 10 11 10 9 8 7 7 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 10 9 8 7 8 9 10 10 11 11 11 9 7 6 6 7 9 11 12 11 9 5 3 3 3 4 5 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 9 9 10 10 9 9 8 9 9 10 10 10 9 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 12 13 14 13 10 9 8 8 9 10 12 14 16 19 22 23 24 23 21 19 18 18 18 18 17 16 15 15 15 15 16 16 16 nan
nan 8 9 10 11 10 10 9 8 7 7 7 8 8 8 9 10 9 9 7 7 6 6 7 7 7 7 8 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 8 9 10 11 11 11 11 10 9 7 6 7 9 11 11 11 9 7 4 3 2 3 4 7 8 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 6 6 6 7 7 8 8 8 9 10 10 10 10 9 9 10 11 12 12 11 10 7 5 5 5 6 6 7 7 8 8 8 8 9 9 9 10 10 10 10 10 11 12 13 13 12 11 10 10 10 10 9 8 6 4 3 2 2 2 3 5 8 10 13 16 18 19 19 18 18 17 17 16 14 13 13 14 16 17 19 20 20 nan
nan 9 9 10 10 10 10 10 9 8 7 8 7 7 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 7 7 8 9 9 9 8 7 7 8 8 10 11 11 11 11 11 9 8 7 7 9 11 12 11 9 7 6 4 3 3 4 6 8 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 10 9 9 9 8 8 8 7 6 5 6 7 7 8 8 8 8 9 9 10 9 9 10 10 12 15 16 15 12 8 4 2 4 5 6 7 8 8 8 8 8 9 9 9 10 10 11 11 11 11 12 14 14 14 14 12 10 9 8 8 6 5 5 4 3 3 2 1 -0 0 1 2 4 6 9 11 12 13 14 14 14 13 12 11 12 13 16 19 22 24 24 nan
nan 8 8 9 9 10 10 10 9 8 8 8 7 7 7 8 9 9 9 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 9 9 8 8 7 8 8 9 10 11 11 11 10 10 8 8 8 10 12 13 13 9 6 5 4 3 3 3 5 7 9 9 10 9 8 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 6 6 6 8 8 8 9 8 8 9 9 9 8 8 9 10 11 13 15 15 13 8 2 -2 0 4 6 7 8 8 8 8 9 9 10 10 10 11 11 11 12 12 13 14 16 17 16 15 14 12 10 9 8 7 8 8 8 8 7 6 5 3 2 2 1 1 1 3 4 5 7 9 10 11 11 10 8 8 9 12 16 21 24 26 nan
nan 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 7 7 8 9 9 9 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 10 10 11 10 9 9 8 8 8 10 12 15 15 12 7 3 2 2 2 3 5 7 9 10 10 9 8 7 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 10 6 -1 -7 -6 -0 4 7 8 9 9 9 9 9 10 11 11 12 12 12 13 13 14 15 16 18 19 19 18 16 14 13 11 9 10 10 10 10 10 10 10 9 8 7 6 5 4 4 3 3 3 4 5 6 7 8 8 6 4 3 5 9 14 18 22 nan
nan 9 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 9 7 7 7 7 7 7 6 7 8 8 7 7 7 7 8 9 9 9 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 9 12 14 16 14 9 3 0 -1 0 2 5 8 9 10 10 9 8 7 6 7 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 6 -0 -8 -11 -5 2 7 9 10 10 10 10 10 10 11 12 12 12 13 13 14 15 16 16 17 18 19 19 19 17 16 14 13 11 10 10 10 9 9 10 10 10 10 10 9 8 8 7 6 5 5 4 4 5 6 7 7 6 4 2 1 2 5 9 14 nan
nan 9 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 9 10 9 8 7 7 7 7 6 6 7 8 8 8 7 7 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 9 9 9 10 11 13 13 9 3 -1 -2 -1 2 5 8 10 10 10 9 8 7 7 7 8 8 9 10 10 9 8 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 9 9 10 9 9 9 8 7 7 7 7 7 8 8 7 3 -4 -9 -6 1 7 10 11 11 11 11 10 11 11 11 12 12 13 13 14 15 15 15 15 15 15 16 16 16 16 15 13 12 11 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 7 6 6 5 6 7 7 7 7 5 2 1 0 1 5 nan
nan 9 8 7 7 7 8 9 9 9 9 9 8 8 8 7 7 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 9 10 10 9 9 9 10 10 9 9 10 10 8 3 -0 -2 -0 3 6 10 12 12 10 8 7 7 7 7 7 8 8 9 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 8 7 5 1 -4 -5 2 10 14 14 12 11 11 11 11 10 11 11 12 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 10 10 9 8 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 6 7 7 8 8 8 7 5 3 1 2 nan
nan 9 8 8 7 7 8 8 9 9 9 9 8 8 8 7 7 8 9 9 10 10 9 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 9 10 9 10 10 10 9 9 8 8 6 4 1 -0 1 4 7 10 13 13 11 9 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 5 3 1 5 13 18 18 15 13 12 11 10 9 9 10 12 13 12 11 10 9 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 7 8 8 8 8 7 7 7 7 8 8 9 9 8 6 5 nan
nan 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 7 7 7 8 8 8 9 9 9 8 8 7 6 4 3 2 3 4 7 10 12 13 12 9 7 7 7 8 7 7 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 7 7 8 13 18 19 17 14 13 12 10 8 7 7 9 11 12 11 9 7 5 5 5 6 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 6 7 7 8 8 7 7 7 7 7 7 9 10 10 10 9 nan
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nan 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 7 7 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 5 5 6 6 6 6 5 5 5 5 6 7 9 10 10 9 8 7 8 10 13 16 16 15 14 12 10 8 7 7 7 7 7 7 6 5 5 6 9 11 12 11 11 12 13 14 15 15 15 15 13 11 9 8 8 8 8 7 7 7 9 10 13 16 18 18 17 15 15 16 19 22 25 26 26 23 18 15 14 15 15 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 6 6 7 8 9 9 10 10 10 9 9 9 9 10 10 9 9 9 10 10 9 8 7 6 6 6 7 8 8 7 5 4 4 5 7 9 12 14 15 13 11 9 8 10 13 15 16 16 14 12 10 8 7 7 7 8 8 8 8 7 6 7 10 12 13 12 11 11 11 12 12 12 12 12 11 10 9 9 9 9 8 7 7 8 9 10 11 12 12 12 11 9 6 4 2 3 5 7 10 11 9 9 12 17 20 18 16 14 13 14 13 13 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 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 9 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 10 10 9 9 8 7 7 7 7 7 7 8 9 10 11 11 10 9 7 6 8 11 14 16 17 16 14 12 11 12 14 15 15 14 13 11 9 7 6 6 7 8 9 10 10 9 9 9 11 13 14 14 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 10 11 12 13 13 12 12 11 11 11 9 5 1 -2 -3 -4 -5 -3 2 8 14 17 15 14 14 15 15 14 12 11 10 9 8 8 9 9 10 10 11 11 11 11 12 12 11 11 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 8 9 10 10 9 10 11 12 13 13 12 10 8 8 10 13 15 16 15 14 13 13 14 15 15 13 12 10 9 8 7 6 6 7 8 9 10 10 10 10 10 11 12 14 14 13 12 11 11 12 11 10 9 8 7 7 7 7 7 8 8 9 9 9 10 11 12 13 13 13 13 15 17 19 20 19 16 12 9 7 5 7 11 14 16 13 14 16 17 17 15 14 12 11 10 9 9 10 12 14 15 15 14 14 13 13 13 12 12 12 nan
nan 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 4 4 6 8 10 12 12 10 11 11 11 11 12 11 9 7 7 8 11 13 15 15 14 13 13 13 13 13 12 11 10 9 8 7 7 8 8 9 9 10 10 10 10 9 9 10 11 12 12 11 11 11 11 10 9 8 7 7 8 8 8 7 7 8 9 10 9 9 9 9 9 10 12 12 13 15 16 19 22 25 28 28 27 26 27 29 32 32 28 25 24 25 24 22 19 17 15 13 12 12 14 17 22 25 23 20 17 16 15 14 13 13 12 12 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 8 8 8 7 5 3 1 -1 -3 -3 -2 1 3 5 7 9 10 9 10 11 11 11 10 9 8 6 5 7 10 13 15 15 14 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 10 10 9 9 9 9 10 10 10 10 10 9 8 9 10 11 12 12 13 14 17 20 25 28 30 31 34 36 38 36 33 33 32 31 30 29 27 24 21 19 19 19 21 25 28 28 25 20 17 15 14 14 14 13 13 13 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 9 7 4 3 4 6 8 9 11 12 12 13 12 12 12 11 11 11 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 5 1 -2 -4 -6 -8 -8 -6 -2 1 2 2 2 3 4 6 9 11 11 10 9 7 6 5 6 9 13 15 15 14 12 10 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 11 12 12 12 13 14 15 17 19 21 23 24 24 24 23 23 23 24 25 26 27 28 27 27 28 29 29 28 26 23 20 19 18 19 17 16 16 15 14 14 14 nan
nan 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 11 11 11 10 9 7 2 -3 -7 -6 -1 4 7 10 12 14 14 13 13 13 13 12 11 11 10 9 9 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 3 -2 -6 -8 -8 -6 -4 -2 1 4 4 3 1 -0 1 3 5 8 9 7 5 5 4 5 5 8 11 13 14 13 11 10 9 8 8 8 9 9 10 11 11 12 12 12 11 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 11 11 12 12 13 13 13 13 13 13 13 14 14 13 12 11 12 12 12 13 14 16 18 19 22 26 29 32 32 30 25 21 18 19 22 25 25 23 20 17 15 14 13 nan
nan 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 6 1 -6 -12 -13 -8 -1 4 8 12 14 14 14 14 14 14 13 12 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 5 -1 -6 -8 -6 -1 2 5 7 8 9 8 7 5 4 5 5 6 5 3 -1 -3 -2 0 2 5 8 11 11 10 8 8 7 8 8 10 10 10 10 11 12 12 12 12 11 10 9 8 7 7 7 7 7 7 6 6 6 6 5 5 7 8 9 10 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 15 16 16 15 15 14 14 13 13 12 11 11 10 9 9 9 8 9 9 9 9 10 10 11 12 15 19 21 24 25 26 26 25 23 22 23 22 22 20 17 14 12 11 11 nan
nan 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 7 3 -4 -10 -12 -10 -3 3 7 11 14 15 14 13 14 15 15 14 13 12 11 10 9 8 7 7 6 6 7 7 8 8 8 7 7 7 8 7 4 -0 -2 -1 4 9 11 11 11 11 10 9 9 8 8 8 7 6 4 -0 -5 -6 -5 -3 -0 3 6 7 6 5 5 5 6 6 8 9 9 9 10 12 13 13 12 11 10 9 8 7 7 6 6 5 5 5 5 6 6 5 5 6 8 9 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 13 15 18 19 20 19 16 14 13 13 12 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 11 12 13 14 15 17 19 21 21 18 13 8 4 3 4 5 6 8 9 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 9 8 8 8 5 -1 -7 -10 -9 -4 2 6 9 12 14 15 15 16 17 17 15 14 13 13 12 11 9 8 7 7 6 6 6 7 7 7 7 7 7 8 9 8 6 5 6 10 14 17 17 17 16 14 12 10 9 8 9 9 8 7 5 3 0 -0 -1 -1 0 1 1 1 1 3 6 6 7 6 6 6 6 7 9 12 13 13 12 10 8 7 7 7 6 5 3 2 2 4 5 7 7 7 8 10 12 11 9 7 7 8 9 10 9 9 9 9 9 9 10 10 11 11 12 13 16 18 20 20 18 15 13 12 11 9 8 7 6 6 8 8 9 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 14 13 8 2 -4 -6 -6 -3 0 4 7 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 4 -3 -7 -8 -5 -1 4 8 10 12 13 16 19 21 21 18 15 14 13 13 12 11 9 8 7 7 6 6 6 7 7 7 7 7 8 9 9 9 9 10 12 15 18 19 20 19 18 15 11 9 9 9 9 9 9 8 7 7 7 7 6 5 4 2 -0 -1 1 3 5 6 6 6 5 4 5 7 9 11 11 11 10 8 7 6 6 6 5 4 3 4 5 6 7 8 9 11 12 14 14 11 8 6 7 8 8 9 9 9 9 9 10 10 10 11 11 12 12 13 14 15 16 16 13 12 11 10 9 7 6 5 5 7 8 9 10 11 11 11 11 11 11 11 12 12 13 13 12 11 11 10 9 5 1 -2 -3 -1 0 2 4 6 8 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 7 1 -5 -7 -7 -4 1 6 9 11 11 12 16 21 24 23 18 15 14 14 13 12 10 9 8 8 8 7 7 7 6 6 7 7 8 8 9 9 9 10 11 12 13 15 15 14 12 10 8 8 9 11 12 11 10 9 8 8 8 9 9 9 8 7 5 4 4 4 4 2 0 0 2 4 5 8 10 11 10 9 9 7 6 5 5 5 4 5 6 8 10 11 11 10 11 12 13 14 13 12 10 8 8 8 8 8 8 9 9 9 10 10 9 9 10 11 11 11 11 10 10 11 10 8 8 8 8 7 6 6 6 7 9 9 10 12 13 12 12 11 11 11 11 11 12 12 12 10 9 8 6 2 -2 -4 -3 0 4 5 6 7 8 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 -2 -6 -7 -6 -3 2 6 9 10 11 12 15 20 23 23 19 17 15 14 12 10 9 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 9 10 10 11 10 8 4 -0 -1 1 6 11 14 13 12 10 9 9 9 9 9 9 9 9 9 9 9 8 7 5 2 -1 -2 0 3 6 9 11 10 9 8 6 5 4 5 5 6 6 8 10 12 13 12 11 10 11 12 12 10 10 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 8 8 7 6 7 7 5 5 5 5 6 7 8 8 9 10 10 11 12 14 13 12 12 11 11 11 10 10 11 11 10 9 7 5 -0 -5 -7 -6 -3 2 5 6 7 8 8 9 9 10 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 8 3 -3 -6 -6 -4 -2 3 6 9 10 10 11 13 18 22 23 21 19 16 14 12 10 9 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 8 9 9 9 9 7 2 -5 -7 -4 2 9 13 14 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 10 9 7 6 6 7 8 8 8 7 7 5 4 2 3 4 5 6 8 9 10 10 8 6 6 7 9 9 8 6 7 7 8 9 10 11 11 11 10 10 10 10 10 9 9 10 10 9 7 6 5 5 5 5 4 4 4 4 6 8 10 10 11 11 11 12 13 14 13 12 11 10 10 10 10 10 11 10 10 10 9 5 0 -3 -2 0 4 7 8 9 9 9 10 10 10 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 8 2 -3 -5 -5 -3 -0 3 6 8 9 10 11 13 17 21 23 23 20 17 14 12 10 10 10 10 9 8 7 7 7 7 6 7 7 8 8 7 8 8 8 8 9 8 5 0 -3 -0 6 12 16 16 12 11 11 12 12 13 13 14 14 15 15 16 16 17 19 19 19 18 17 16 15 14 12 10 7 5 4 3 4 3 4 4 5 5 6 6 7 6 5 5 5 7 9 10 9 7 6 6 6 6 7 8 10 10 12 14 15 16 15 13 12 12 13 12 10 8 7 6 6 5 4 4 5 5 6 9 10 11 12 12 12 11 12 13 13 12 12 10 10 9 10 10 10 10 10 10 11 11 10 10 11 12 12 12 12 11 10 10 10 11 11 11 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 8 4 0 -2 -3 -2 -0 2 5 7 9 10 11 12 15 19 23 23 21 18 15 12 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 5 4 6 12 18 21 20 15 12 10 11 12 13 16 18 19 20 21 22 23 24 26 28 28 26 24 22 20 18 16 14 11 8 5 3 2 3 5 7 8 8 8 7 7 7 8 8 9 12 13 14 13 11 9 9 9 9 8 8 8 8 10 14 17 18 17 14 12 10 10 10 9 9 8 7 6 5 5 5 6 7 8 10 11 13 13 12 12 11 11 12 12 12 12 11 10 10 9 9 9 10 10 10 11 11 12 15 19 22 21 18 15 12 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 6 1 -2 -3 -2 -1 2 5 7 10 11 11 12 13 17 22 24 22 19 16 13 11 11 10 9 9 8 8 7 7 7 8 8 9 8 7 7 7 7 7 7 7 6 6 8 12 16 19 18 15 12 10 10 10 10 12 14 16 18 19 21 23 25 27 29 30 29 27 25 23 21 19 17 16 15 12 10 7 6 8 10 12 13 13 12 11 11 11 11 12 13 14 15 14 12 11 12 12 13 12 12 11 10 11 13 15 15 13 10 8 7 6 5 5 6 6 6 5 5 5 6 7 9 10 11 12 14 14 13 13 12 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 13 16 19 19 16 13 10 9 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 9 5 -1 -4 -4 -3 -0 2 5 8 10 11 11 11 12 17 25 28 26 23 17 13 12 11 9 9 8 8 8 7 7 8 8 9 8 7 7 7 7 7 7 7 6 7 7 9 11 12 12 10 8 7 7 8 8 8 9 9 11 12 13 15 17 20 22 23 23 22 21 22 22 20 19 19 20 21 19 17 17 18 20 20 19 17 15 13 12 11 11 11 11 11 10 10 9 9 10 12 14 14 13 13 12 11 11 12 11 9 6 4 5 6 6 5 5 6 6 6 6 6 8 10 12 13 13 14 15 14 14 13 12 11 11 11 11 10 11 10 10 10 10 9 9 9 9 10 10 11 12 13 14 13 10 7 6 6 8 10 10 10 10 11 11 11 11 nan
nan 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 8 2 -2 -4 -3 -2 0 2 5 8 10 11 11 12 13 21 29 31 30 25 17 13 11 10 9 8 9 9 9 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 10 9 7 5 3 2 3 5 6 7 7 7 8 9 10 12 14 16 17 17 16 16 15 15 15 15 17 19 20 21 21 21 23 26 27 25 21 16 13 11 9 9 9 9 8 7 7 6 7 8 10 12 12 12 11 11 10 9 9 9 8 6 4 5 6 7 8 8 9 9 8 8 10 11 13 15 15 14 14 15 15 14 13 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 10 11 12 12 12 10 9 8 8 9 10 11 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 8 9 9 10 10 10 11 11 11 10 10 10 9 9 9 6 2 -1 -2 -2 -0 1 3 5 8 10 11 11 12 16 25 32 34 31 22 14 12 10 9 9 9 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 5 0 -3 -4 -1 2 5 7 8 8 9 10 11 13 14 15 15 15 14 12 11 9 9 10 12 14 15 15 15 17 19 21 20 18 14 10 8 8 7 7 7 7 8 8 8 7 7 8 9 9 8 8 8 8 7 8 9 10 9 9 9 9 9 10 10 11 12 13 13 14 16 17 18 17 15 15 14 14 13 12 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 13 15 16 15 13 12 12 12 12 12 12 12 12 nan
nan 10 9 9 9 9 8 8 9 10 11 11 11 11 11 11 10 9 9 9 8 5 1 -1 -2 -2 0 2 3 5 7 9 11 12 14 21 30 35 34 28 18 13 11 10 9 9 10 10 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 3 -4 -7 -6 -3 1 5 7 8 10 11 12 13 14 14 14 14 13 12 10 9 8 9 10 11 11 9 8 7 7 8 9 9 8 6 6 6 6 7 8 8 8 8 7 6 4 3 4 4 4 4 4 6 6 7 9 11 13 14 13 14 13 13 13 14 14 15 16 18 18 18 17 16 16 15 14 13 12 11 11 11 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 13 16 18 19 18 15 13 13 13 12 12 12 12 12 nan
nan 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 8 8 9 8 5 1 -2 -3 -1 1 2 3 4 7 9 11 14 19 28 35 35 30 22 15 12 10 9 10 10 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 -0 -6 -7 -4 -1 3 5 7 10 12 13 14 15 15 14 13 13 11 10 9 9 9 10 11 11 8 5 1 -1 -2 0 1 2 2 1 1 2 3 5 7 6 5 2 -1 -3 -5 -5 -4 -3 -4 -2 0 4 6 9 12 14 15 16 16 16 16 16 17 17 17 17 17 17 15 14 13 12 12 12 12 11 11 10 10 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 13 15 17 19 19 17 16 14 13 13 12 13 13 12 nan
nan 10 10 10 10 9 9 10 10 10 10 11 11 11 11 10 9 8 8 9 8 6 4 1 0 1 2 2 3 4 7 10 12 16 23 32 35 31 23 16 13 11 11 11 11 10 8 7 7 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 4 -2 -5 -4 -1 2 6 8 10 13 15 15 15 15 15 14 13 12 10 9 9 9 10 11 12 10 7 4 1 0 1 1 1 1 0 -1 -2 -2 -0 2 1 -0 -3 -5 -7 -8 -7 -6 -5 -6 -7 -6 -3 1 4 7 10 12 14 15 16 17 17 16 16 16 16 16 14 13 11 9 9 10 10 11 11 10 10 10 11 11 12 11 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 15 19 21 20 18 16 14 14 14 14 14 14 nan
nan 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 7 4 2 2 2 2 3 4 7 10 13 18 26 33 31 24 17 13 12 12 12 12 11 8 6 6 8 11 12 12 11 11 11 10 10 9 8 7 6 6 6 6 6 6 6 6 2 -3 -4 -3 1 6 9 10 13 16 17 17 17 16 15 13 11 10 10 9 10 11 12 13 14 13 12 11 10 9 8 7 6 5 4 3 2 2 3 3 1 -2 -4 -4 -2 -1 1 2 2 0 -1 -1 0 2 3 3 3 6 11 14 16 15 14 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 11 12 12 12 11 11 11 10 10 11 11 11 11 12 11 11 11 11 11 11 12 15 18 20 21 20 18 16 15 15 15 15 16 nan
nan 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 8 7 7 8 9 8 5 3 2 2 2 3 5 7 10 13 18 26 31 27 21 16 13 12 11 11 10 8 6 6 7 10 12 12 12 10 10 11 10 9 6 3 1 1 2 4 5 6 6 7 6 2 -2 -3 -1 3 7 9 11 14 19 21 20 18 16 13 11 9 9 9 10 11 12 14 15 15 15 16 16 15 14 13 12 11 11 11 10 10 11 11 9 7 5 4 5 7 8 8 8 8 9 9 9 9 7 5 3 4 9 14 17 16 13 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 12 12 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 16 19 21 22 20 19 17 17 17 17 18 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 8 7 7 9 9 8 6 3 2 2 3 3 5 7 10 13 18 26 28 25 20 16 13 11 10 9 7 6 6 7 9 12 13 12 10 9 9 10 9 7 2 -3 -5 -3 -0 3 6 7 8 8 6 2 -1 -2 1 5 7 9 11 17 23 24 22 19 14 11 9 8 9 10 11 12 14 15 15 14 14 14 14 14 14 14 14 15 15 15 15 15 16 15 14 13 11 11 11 11 11 12 12 13 15 16 16 14 12 9 9 13 18 20 18 14 10 9 8 9 10 11 11 10 10 9 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 11 10 11 11 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 17 20 23 23 22 22 22 22 21 20 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 9 7 4 2 2 2 3 5 7 10 12 18 24 25 24 20 15 12 10 9 7 6 7 8 10 11 13 13 12 10 8 9 10 9 6 0 -3 -3 -1 2 6 9 9 8 8 5 1 -2 -2 2 6 7 9 12 19 25 24 21 17 12 10 9 10 11 12 13 14 15 15 14 12 11 11 10 12 13 14 14 16 17 18 18 19 20 19 18 16 15 14 14 14 16 17 19 22 23 22 19 16 14 12 14 17 19 19 15 11 9 8 8 9 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 11 10 9 10 11 11 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 16 18 21 25 28 30 30 29 27 25 nan
nan 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 8 4 2 2 2 3 5 8 10 12 17 21 23 23 21 16 12 11 9 8 7 8 9 10 12 13 12 11 9 10 11 12 11 8 4 4 4 5 7 9 9 7 6 4 1 -3 -4 -1 4 7 8 9 13 20 23 23 20 14 11 10 10 11 12 13 14 14 14 13 11 10 9 10 10 11 11 11 12 14 16 17 19 20 21 21 20 18 18 18 19 21 24 27 28 29 28 24 18 15 13 13 15 18 20 19 16 12 10 9 10 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 13 14 15 19 24 29 32 32 31 30 30 nan
nan 10 10 10 9 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 10 8 5 2 1 1 2 5 8 11 12 15 18 22 25 23 17 13 11 10 8 7 7 9 10 12 13 11 10 10 12 13 13 12 10 9 9 10 8 8 8 6 4 2 -1 -4 -5 -3 2 6 8 9 11 15 20 22 21 17 13 11 11 12 13 14 14 14 13 12 11 10 10 10 11 11 11 10 9 10 11 12 13 14 16 17 17 17 17 18 20 22 26 29 29 28 27 24 19 15 14 14 16 19 23 26 25 21 16 13 12 13 13 13 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 11 10 10 11 11 11 11 10 10 10 10 11 11 11 12 13 13 13 13 13 12 13 13 16 19 21 23 24 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
194 168 148 128 110 96 87 76 67 65 63 58 54 54 51 37 23 24 23 17 9 6 4 3 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 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 10 41 67 86 106 127 150 171 186 202 218 231 251 280 308 337 391 483 574 670 756 835 917 991 1094 1229 1360 1456 1532 1600 1675 1778 1803 1790 1796 1784 1711 1582 1423 1264 1152 1050 935 860 845 816 745 665 588 521 501 446 397 358 314 262 230 195 179 183 185 167 144 146 154 159 166 167 167 180 223 299 409 572 685 718 692 652 601 545 486 436 394 365 338 316 301 287 283 277 273 262
193 173 158 135 106 89 76 61 55 63 72 74 65 56 56 61 47 42 34 23 14 9 6 4 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 34 67 92 114 139 166 184 188 194 200 208 220 232 246 296 344 408 489 571 643 712 784 828 874 954 1055 1147 1223 1301 1379 1486 1574 1634 1697 1756 1792 1774 1718 1642 1538 1396 1247 1134 1058 991 916 850 753 681 632 583 535 494 462 412 357 293 253 245 242 220 182 164 163 160 164 169 175 183 197 220 279 407 526 618 683 705 690 667 621 557 490 445 409 374 345 318 311 307 309 308
204 189 169 139 108 88 75 68 70 81 93 98 96 91 66 69 63 54 36 19 10 7 6 3 2 2 2 1 1 0 0 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 0 0 0 0 1 3 5 11 36 70 98 121 142 179 198 191 177 173 180 196 202 211 249 290 338 392 446 498 545 586 622 644 674 725 780 820 885 943 1009 1037 1101 1188 1317 1497 1645 1772 1804 1779 1702 1585 1442 1309 1222 1138 1063 945 846 772 718 677 631 619 585 520 438 372 336 312 283 243 215 203 189 182 180 183 189 192 195 217 273 353 472 615 704 767 792 773 692 597 534 489 448 412 366 348 339 338 344
219 212 188 148 113 83 62 52 52 64 76 80 81 83 67 60 43 27 16 9 5 3 3 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 0 0 0 0 0 0 0 0 0 0 2 4 7 11 22 45 77 108 136 156 192 207 189 164 156 163 178 187 194 204 226 255 286 312 337 366 382 383 412 445 476 507 515 559 608 596 509 504 589 715 891 1135 1341 1557 1709 1769 1775 1725 1608 1489 1352 1230 1130 1040 968 916 835 731 708 706 668 601 527 463 403 348 307 289 265 236 209 191 189 198 199 199 203 221 264 346 492 631 738 809 821 770 682 609 552 509 477 441 407 384 377 370
222 215 191 145 98 63 42 32 36 45 51 50 41 29 17 12 8 4 2 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 17 27 45 76 117 149 179 208 209 177 143 141 149 164 176 182 185 190 200 215 229 242 257 267 282 304 327 352 369 372 394 413 401 367 336 325 346 389 539 737 1007 1258 1455 1682 1817 1775 1708 1617 1501 1368 1270 1179 1063 888 788 753 766 782 746 680 620 531 459 411 374 336 293 251 221 212 214 213 213 212 212 241 276 359 464 575 663 704 702 684 650 599 561 536 509 475 441 428 416
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