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 11 9 8 9 9 9 9 8 7 7 7 7 8 8 8 7 7 5 4 2 1 1 2 5 7 9 11 11 12 13 14 15 15 14 14 13 13 13 14 12 11 11 12 12 12 12 10 9 9 8 8 7 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 11 13 14 14 13 12 11 11 10 10 9 8 8 8 8 7 6 6 5 5 5 6 7 8 7 6 4 3 2 2 3 3 4 4 4 4 4 5 6 7 7 7 6 6 5 5 5 6 7 8 9 9 9 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 6 nan
nan 10 8 7 7 8 9 8 8 7 7 7 6 7 7 6 6 5 5 4 3 3 5 6 8 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 11 12 12 12 12 12 11 10 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 12 12 12 13 13 12 11 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 9 10 11 13 13 12 11 11 11 11 10 10 9 9 8 8 8 8 7 6 5 5 5 7 8 8 6 4 3 2 2 3 4 5 6 6 4 3 3 4 4 5 6 7 7 7 6 6 5 5 6 6 8 9 8 8 7 7 7 7 7 8 8 8 7 6 6 7 8 9 9 7 6 nan
nan 9 7 6 6 7 7 8 8 8 7 6 6 5 5 4 4 5 6 7 8 9 9 10 11 11 11 12 12 12 11 10 10 9 10 11 12 13 13 12 12 11 11 10 11 11 12 11 11 10 9 9 9 10 12 12 12 13 13 14 13 12 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 8 8 8 9 9 10 10 10 10 9 9 10 11 12 11 11 11 10 10 9 9 8 7 7 8 8 8 7 7 7 7 8 8 9 7 5 3 3 3 3 5 7 8 8 7 5 4 3 3 3 4 5 6 6 7 6 6 6 5 5 6 7 8 8 8 8 7 7 7 7 7 8 8 6 5 5 5 7 8 8 7 6 nan
nan 7 6 5 5 6 7 8 8 8 8 7 6 5 5 4 5 7 9 12 12 12 12 11 11 11 11 11 11 10 9 9 9 8 8 10 11 11 12 11 11 10 10 10 10 11 12 11 10 10 10 10 10 11 12 13 14 15 16 16 16 14 11 10 9 8 8 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 9 9 8 8 8 8 9 10 11 11 10 8 8 9 10 10 11 10 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 9 8 6 4 3 4 5 6 7 8 8 7 6 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 5 6 7 8 9 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 nan
nan 7 6 5 5 6 8 10 10 10 10 9 8 7 6 7 8 9 11 13 13 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 11 11 11 10 10 11 11 12 12 13 14 16 17 17 17 16 15 13 12 10 9 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 8 8 9 10 11 12 10 8 7 7 7 8 9 9 9 9 8 8 9 9 10 11 10 9 7 7 8 8 8 7 6 4 3 3 6 7 8 8 7 6 5 5 5 6 6 7 6 5 5 5 5 5 5 6 6 6 5 5 5 6 7 8 8 7 7 6 6 6 6 7 8 8 8 8 6 5 4 6 7 nan
nan 8 7 6 7 8 10 12 13 13 12 11 10 9 9 9 10 10 10 11 11 11 10 10 11 11 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 10 12 11 10 10 10 11 11 11 12 13 13 13 14 16 17 17 17 16 15 14 13 13 12 11 10 10 10 10 10 9 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 9 8 7 7 7 7 8 8 8 8 9 9 10 11 11 10 8 7 7 8 8 8 7 5 3 3 4 7 9 9 8 7 5 4 4 5 6 7 7 7 6 6 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 7 8 7 6 6 7 6 6 7 9 10 nan
nan 10 9 9 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 11 11 10 10 9 8 8 7 7 7 8 10 10 10 9 10 11 12 12 12 13 13 13 12 13 14 14 13 12 11 10 10 11 11 11 10 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 10 10 9 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 8 7 7 7 7 8 8 9 10 11 10 9 8 7 7 8 8 7 7 6 5 4 4 5 8 9 10 9 8 6 5 4 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 6 6 6 8 8 7 6 6 7 8 9 11 12 12 nan
nan 11 10 10 11 12 12 12 11 10 9 9 9 10 10 11 11 10 10 10 10 10 10 11 11 12 13 13 12 12 12 11 11 11 10 10 9 9 7 6 6 6 7 8 9 9 10 12 14 13 11 10 9 8 7 8 8 8 8 8 7 6 5 6 7 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 5 6 6 7 8 9 9 10 10 9 9 9 10 10 11 11 10 9 9 9 10 10 10 10 10 10 11 10 10 9 8 8 9 9 10 9 9 8 8 7 7 7 8 9 9 10 10 9 8 8 8 9 8 7 6 6 6 5 5 5 6 8 9 10 10 10 9 7 7 7 8 8 7 7 7 7 6 6 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 7 7 8 8 7 7 8 9 11 12 13 12 11 nan
nan 11 10 10 10 10 10 10 8 8 8 8 10 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 7 9 11 12 14 14 13 10 8 6 5 4 5 6 6 5 5 5 4 4 4 6 6 6 6 5 5 5 6 6 7 6 6 7 7 6 6 6 6 7 7 8 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 8 9 9 9 9 9 8 7 8 9 10 10 10 10 9 9 8 8 9 8 7 7 7 7 7 7 6 6 7 7 8 9 10 11 11 11 10 10 9 9 8 7 6 6 7 7 8 8 8 8 8 8 9 10 10 10 9 8 8 9 10 10 9 9 8 9 9 11 12 13 13 12 11 9 nan
nan 10 9 9 9 9 9 8 8 8 8 9 10 11 11 12 12 11 10 10 9 9 10 10 11 11 12 12 12 12 13 13 14 13 13 12 11 10 9 8 8 7 7 9 10 12 13 13 14 12 10 8 7 7 7 9 10 9 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 9 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 9 9 9 9 9 8 9 10 11 11 11 10 9 8 8 8 8 8 7 7 8 9 9 8 7 6 6 6 7 8 10 11 12 12 12 12 12 11 9 7 7 7 8 9 9 10 9 9 8 8 9 11 11 10 10 9 9 10 11 11 11 11 10 11 11 13 14 14 13 11 10 9 nan
nan 10 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 12 12 13 14 14 15 15 15 14 12 11 10 10 10 11 12 12 12 11 12 12 12 11 10 9 9 9 10 12 14 13 12 11 9 8 8 9 9 9 10 10 10 9 8 8 8 8 9 10 9 8 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 9 9 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 11 10 9 7 6 6 6 7 8 9 10 11 11 12 13 14 13 11 10 10 10 11 12 11 11 10 8 7 7 9 11 11 11 10 10 10 10 11 11 11 11 11 11 13 14 13 12 11 11 11 10 nan
nan 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 10 11 11 11 12 13 14 14 15 16 16 15 14 12 12 11 12 12 13 13 13 12 12 11 10 8 7 7 7 7 8 10 12 13 12 11 10 9 10 11 10 10 10 10 11 11 9 8 8 10 12 13 12 10 9 8 8 7 7 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 10 9 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 8 7 7 7 7 7 7 8 9 9 10 10 12 13 13 13 13 13 14 14 15 14 11 9 7 6 7 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 9 9 9 9 nan
nan 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 10 10 10 11 11 11 12 13 15 16 17 18 17 15 14 13 12 12 11 11 12 13 13 12 11 8 5 4 4 4 4 5 7 8 9 9 9 10 10 11 11 10 8 8 9 11 11 9 8 9 11 13 13 13 12 11 10 9 8 6 5 5 6 7 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 10 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 7 7 7 8 8 9 10 11 12 12 11 9 8 8 7 7 8 8 8 7 7 7 8 8 8 9 9 10 11 12 13 14 15 16 17 17 15 12 8 6 5 7 7 8 9 9 9 8 8 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 nan
nan 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 12 13 15 17 18 19 18 16 15 14 13 11 10 10 11 12 12 11 9 6 4 3 3 3 4 5 5 5 5 6 6 7 8 8 8 7 6 7 8 9 8 7 8 9 10 11 11 12 12 12 11 10 9 8 6 5 5 5 6 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 10 11 11 12 11 10 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 12 10 9 8 7 7 7 8 8 7 7 6 7 7 7 7 8 9 9 9 11 12 13 14 16 17 17 15 12 9 7 7 8 8 8 8 8 7 6 6 7 7 8 9 8 7 8 8 8 7 6 6 6 6 5 nan
nan 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 8 9 9 9 9 10 10 10 10 10 10 11 11 12 13 14 16 17 17 17 15 14 13 13 12 11 12 12 12 11 9 7 4 3 3 3 4 4 5 6 5 4 3 3 4 4 4 4 4 5 6 7 5 3 5 7 9 9 9 8 9 10 10 9 10 11 11 10 8 6 4 5 7 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 10 11 11 11 9 8 8 8 9 11 11 11 10 10 10 10 11 12 13 12 11 10 9 9 8 9 9 9 9 8 7 6 7 7 7 7 8 9 9 10 10 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 8 7 6 6 6 6 8 8 7 7 7 8 8 8 7 7 6 6 5 nan
nan 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 9 9 9 9 9 9 10 10 10 10 11 11 12 13 13 14 14 14 14 14 13 13 12 12 12 12 11 10 9 8 6 4 4 4 5 5 6 7 7 5 2 1 1 2 3 2 3 4 5 6 5 2 1 4 7 8 8 7 7 7 6 5 6 8 11 13 13 12 9 7 6 7 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 10 11 11 10 9 8 8 9 10 12 12 12 12 11 11 10 11 11 11 10 10 10 10 10 10 11 11 11 10 9 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 12 11 10 9 8 7 7 6 6 7 7 6 6 7 8 8 8 8 7 7 7 7 nan
nan 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 13 13 13 13 13 12 12 11 10 10 9 8 8 7 7 7 7 8 8 9 10 8 3 -0 -1 1 3 4 4 4 5 5 5 3 2 3 6 8 8 7 7 7 6 5 4 5 7 9 11 13 13 11 9 7 6 6 7 8 8 8 9 9 9 9 9 9 10 11 12 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 11 12 13 13 13 12 12 11 11 11 10 10 11 11 12 12 12 12 12 11 11 10 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 10 11 12 12 12 11 10 10 9 8 7 7 7 6 5 6 7 8 8 7 7 7 7 7 7 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 9 6 1 -0 1 3 5 5 4 4 5 4 4 4 4 6 8 8 8 8 7 6 6 6 6 6 7 8 9 10 10 8 7 6 4 3 5 6 8 9 10 10 9 9 9 10 12 14 13 11 10 9 9 8 8 9 9 10 11 11 11 10 10 10 10 11 12 12 12 12 13 13 13 12 12 12 12 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 9 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 11 12 12 12 13 13 12 10 9 8 7 6 6 6 6 6 6 5 5 6 7 8 8 nan
nan 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 4 2 3 4 6 7 8 8 7 6 6 6 6 7 7 7 8 9 9 8 7 7 6 6 6 7 8 9 8 6 4 4 5 3 2 3 5 7 8 9 10 9 9 9 10 12 14 14 12 10 9 9 8 8 9 9 10 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 13 11 10 9 10 10 10 10 10 9 9 9 8 8 8 8 8 7 6 7 7 8 8 8 7 7 8 9 10 11 11 13 14 14 13 12 11 9 7 7 6 6 5 5 4 4 3 5 6 7 8 nan
nan 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 9 10 10 11 11 11 12 12 12 12 13 13 14 14 13 13 12 12 12 11 10 9 9 9 9 8 8 8 7 7 6 6 6 7 8 8 7 6 7 8 9 10 11 11 11 11 11 10 10 9 9 7 7 7 8 8 8 8 7 7 7 7 8 10 10 8 6 4 5 6 4 3 3 4 5 5 6 7 8 8 9 10 12 14 13 12 11 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 7 6 6 6 7 7 7 7 7 8 9 9 10 10 11 12 13 13 12 12 10 8 7 7 6 5 5 4 4 4 4 5 7 7 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 9 10 11 11 11 11 12 12 12 12 12 13 13 14 13 13 12 12 11 11 10 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 11 12 13 13 13 13 12 13 13 14 14 13 13 11 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 7 7 7 6 6 6 5 4 3 3 3 4 7 9 10 12 13 13 12 11 10 9 9 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 12 13 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 10 11 11 10 9 9 8 7 6 5 5 5 5 5 5 5 6 6 nan
nan 9 9 9 9 9 9 10 11 11 12 12 11 11 11 10 9 8 9 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 8 8 9 9 9 10 11 11 12 13 15 15 15 14 14 14 13 13 14 15 15 16 16 14 13 12 12 11 10 9 8 9 9 9 9 10 10 11 11 10 10 9 7 7 8 7 6 5 4 3 2 3 6 8 10 11 12 12 12 11 10 10 10 10 11 11 12 12 11 10 9 8 7 7 8 9 8 8 8 8 8 9 10 10 10 9 8 8 9 11 13 14 14 14 14 13 13 13 13 12 11 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 7 6 5 6 7 7 7 6 5 5 5 5 nan
nan 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 8 8 8 9 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 12 12 11 11 10 10 10 11 11 12 12 12 13 13 15 16 16 16 15 15 15 15 15 15 15 17 18 19 17 16 16 16 15 13 11 10 10 9 8 8 9 9 10 11 11 12 10 8 8 8 7 7 6 6 4 3 4 5 7 9 10 10 9 9 9 9 9 9 10 10 11 12 13 13 12 11 10 9 8 9 9 9 9 9 9 9 8 9 9 9 8 7 7 9 11 12 13 13 13 13 12 12 12 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 8 8 7 5 4 4 5 nan
nan 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 8 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 14 15 15 15 15 15 15 15 15 15 15 16 17 17 15 14 14 15 14 13 11 9 8 7 6 6 7 8 9 10 12 12 11 10 8 7 7 7 7 7 6 5 5 5 7 8 9 8 7 7 7 7 8 8 8 9 10 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 7 6 8 9 10 10 10 10 10 10 9 10 11 12 12 11 10 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 6 5 5 5 nan
nan 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 14 14 14 14 13 12 11 12 13 14 13 12 11 11 10 10 9 8 6 5 4 4 5 6 7 9 11 13 13 12 11 9 7 7 7 7 7 6 6 6 6 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 11 9 8 8 8 9 9 10 9 8 7 7 7 9 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 6 6 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 12 12 11 10 9 9 9 9 9 10 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 9 9 9 10 11 11 9 8 8 7 7 6 5 4 3 3 4 6 7 9 11 13 15 15 14 12 9 8 7 7 7 7 7 7 7 8 9 11 11 10 8 7 7 8 8 8 8 6 5 6 7 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 11 10 10 9 9 9 9 10 10 9 8 6 6 7 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 9 9 8 6 5 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 12 12 12 12 11 10 10 9 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 7 6 5 5 5 5 4 5 5 7 9 10 12 13 15 16 16 15 12 9 8 7 7 7 8 8 8 8 9 11 12 12 11 10 8 7 8 9 10 10 9 7 6 7 8 8 9 9 8 8 9 10 10 10 10 9 8 8 8 9 9 10 10 10 10 9 8 8 9 10 10 10 8 7 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 9 8 8 8 9 9 9 8 7 5 5 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 11 12 12 13 13 13 13 12 12 12 11 11 10 9 9 9 9 10 11 12 12 12 11 10 10 9 8 9 9 10 10 10 9 10 10 10 11 13 13 12 10 8 7 6 7 7 6 6 7 8 8 8 8 9 10 11 12 12 13 14 14 13 11 9 8 7 7 7 8 8 8 8 9 10 12 13 13 13 12 11 9 9 9 10 11 11 10 8 8 8 9 9 9 8 8 8 9 9 10 10 10 9 7 7 7 8 8 8 8 9 8 7 7 8 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 10 10 9 8 8 8 8 9 9 9 8 6 5 6 7 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 12 13 13 13 13 13 12 12 11 11 10 10 9 9 9 10 11 12 12 12 11 10 9 9 8 7 8 8 8 8 8 8 9 9 10 10 11 11 10 7 5 4 5 7 8 8 9 10 11 11 12 13 13 13 13 12 12 12 11 10 9 8 7 7 7 8 8 8 8 8 8 9 10 11 13 13 12 12 11 11 10 9 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 8 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 11 12 12 13 13 13 13 12 11 11 10 9 9 9 9 9 10 10 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 7 6 4 4 5 7 9 9 10 11 12 13 14 15 16 16 15 14 13 11 10 8 7 7 7 7 8 8 9 9 9 9 9 9 10 12 12 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 7 7 7 8 9 9 8 8 7 7 8 9 8 7 8 8 9 10 10 10 11 11 11 11 10 9 8 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 8 nan
nan 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 10 10 11 12 14 16 17 17 17 15 12 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 9 10 10 9 9 8 9 10 10 10 9 8 8 9 9 9 10 11 11 12 11 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 nan
nan 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 9 10 10 11 12 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 10 11 12 13 14 15 15 15 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 8 6 6 8 10 11 10 9 9 9 9 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 8 nan
nan 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 11 12 12 12 11 9 9 9 9 10 11 12 12 12 12 11 11 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 13 13 13 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 9 7 7 8 9 10 10 9 8 8 8 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 9 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 13 12 11 10 10 11 11 12 13 12 12 11 10 9 8 8 7 7 8 8 9 10 11 11 11 10 10 10 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 10 11 12 11 10 8 7 7 8 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 7 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 11 11 11 9 8 7 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 8 9 9 9 10 11 10 10 9 9 9 9 9 9 10 10 10 9 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 nan
nan 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 10 9 8 7 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 9 9 nan
nan 9 8 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 12 12 13 14 14 14 13 12 11 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 8 9 10 9 9 10 10 11 11 10 9 9 9 9 9 9 8 8 8 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 11 10 9 9 10 10 10 10 10 10 10 10 9 8 nan
nan 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 10 11 12 13 15 16 15 14 13 11 9 8 9 9 10 11 12 12 12 10 9 9 9 9 8 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 10 9 9 9 10 10 10 10 9 9 9 9 9 10 11 12 12 11 10 9 9 10 12 13 13 13 12 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 9 7 7 8 9 9 9 9 10 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 10 9 9 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 10 9 9 10 11 11 10 10 10 10 10 9 8 8 nan
nan 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 10 10 11 12 14 15 16 16 14 12 10 8 8 8 9 10 12 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 7 6 7 8 8 9 9 10 10 9 10 10 10 10 10 9 9 10 10 10 11 11 12 13 12 12 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 11 9 7 6 6 7 7 7 8 10 11 12 13 12 11 11 10 9 9 9 10 10 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 9 8 7 nan
nan 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 11 12 13 14 15 16 16 14 11 9 8 8 8 8 9 11 12 12 12 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 8 9 9 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 12 11 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 9 8 7 7 6 5 5 7 9 11 11 12 11 11 11 11 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 8 8 9 10 10 9 8 7 7 nan
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nan 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 11 12 12 12 12 12 12 12 11 10 9 8 8 8 9 9 10 9 9 8 8 8 9 9 9 10 11 12 13 14 14 15 15 15 15 15 14 12 12 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 14 13 13 12 11 11 10 9 9 8 7 6 5 6 7 9 9 10 10 10 12 15 17 16 15 12 8 7 7 7 7 7 7 9 11 12 12 11 11 11 12 12 13 13 12 12 11 10 10 10 9 9 9 9 9 10 10 9 8 7 6 6 7 7 7 8 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 10 11 12 12 12 11 11 10 9 8 8 7 8 9 9 10 10 9 9 8 9 9 10 11 11 12 14 15 15 15 15 15 15 14 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 11 11 11 11 12 13 13 13 14 14 14 14 13 12 11 11 12 13 13 12 12 11 10 9 9 8 7 6 5 5 6 8 9 9 10 10 11 14 16 16 15 12 9 8 8 8 8 7 7 8 10 11 11 11 11 12 13 13 13 12 12 13 14 15 15 15 12 10 9 8 8 7 7 7 7 6 6 7 8 8 9 10 12 13 13 13 12 12 12 11 11 11 11 11 11 10 10 nan
nan 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 7 6 6 7 8 9 10 12 12 11 10 9 8 8 8 8 8 9 10 10 11 10 9 9 10 10 11 11 12 13 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 13 12 11 10 10 11 12 12 12 12 11 10 9 9 8 8 6 5 5 6 7 8 9 10 10 11 12 13 14 15 13 10 9 8 8 7 7 7 8 9 10 10 10 11 12 13 12 11 11 11 13 14 16 17 18 16 14 12 9 8 7 7 6 6 6 6 7 8 9 10 11 12 13 14 13 13 13 12 11 11 10 10 10 10 10 9 nan
nan 11 11 11 10 10 9 9 8 8 9 9 10 10 10 9 8 7 6 5 5 6 7 8 9 10 12 12 11 10 9 8 8 8 9 9 10 11 11 11 10 10 10 10 11 11 12 13 14 15 15 15 14 14 14 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 11 11 12 12 12 12 12 11 10 9 9 8 7 6 5 5 6 8 9 9 10 10 10 10 12 13 13 11 10 8 7 6 6 7 8 10 10 10 10 10 11 11 11 10 10 11 12 13 15 17 18 18 17 15 12 9 8 8 7 6 6 6 7 8 10 11 12 13 14 14 14 14 12 11 10 10 9 9 9 9 9 8 nan
nan 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 7 6 5 5 6 7 8 9 11 12 12 12 11 10 9 9 9 9 10 11 11 12 11 11 10 10 9 10 11 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 12 13 13 13 12 11 10 10 10 11 12 13 13 12 12 12 12 11 11 10 9 8 7 6 5 5 6 7 8 9 9 9 9 9 11 12 13 12 10 7 6 6 7 9 10 11 11 10 10 10 10 10 10 10 10 12 12 13 15 16 16 17 17 15 12 10 9 7 6 6 6 7 8 10 12 14 15 15 15 15 15 14 12 11 10 9 8 8 7 7 7 7 nan
nan 10 9 9 9 9 9 10 10 11 11 11 10 9 8 7 6 6 6 7 8 8 9 11 12 12 13 12 11 11 10 9 10 10 11 11 12 12 11 10 10 9 10 10 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 12 13 12 11 11 11 11 12 13 13 14 14 13 12 12 12 11 10 9 8 8 7 6 5 5 7 8 8 9 9 10 10 12 13 13 12 9 7 7 8 9 10 10 10 11 10 10 10 10 9 10 10 11 12 13 13 13 12 13 13 14 12 10 9 7 6 5 5 6 7 9 12 15 17 17 17 16 15 14 13 12 11 10 8 7 7 6 5 5 5 nan
nan 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 8 9 9 10 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 11 10 9 9 9 10 11 13 14 14 14 13 13 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 12 12 12 12 12 13 14 14 15 14 13 12 11 11 10 9 9 8 8 7 6 6 6 7 8 9 10 11 12 13 14 12 10 8 7 8 8 9 9 9 10 10 10 10 10 9 9 10 10 11 12 11 11 10 10 10 10 11 9 8 7 5 4 4 5 7 9 12 14 16 18 18 17 16 14 14 13 12 11 9 7 7 6 5 4 4 6 nan
nan 10 9 9 9 10 10 11 11 10 10 9 8 8 7 6 7 8 9 9 9 10 10 12 12 13 13 12 11 10 9 10 10 10 10 10 10 9 8 8 9 9 10 12 13 14 14 14 13 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 13 14 15 15 14 12 10 9 9 9 9 9 9 7 7 7 7 8 8 8 9 10 12 13 13 10 8 7 8 9 9 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 7 6 4 4 4 5 6 8 11 14 15 16 17 17 16 15 14 14 14 13 10 8 6 6 6 6 6 7 9 nan
nan 10 10 10 10 11 11 11 10 9 8 8 7 6 6 6 6 7 8 9 9 10 11 12 13 13 13 12 11 10 9 9 9 10 9 9 8 7 7 7 8 9 10 12 13 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 10 10 11 11 12 12 11 11 11 12 13 13 13 11 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 10 12 11 8 5 5 7 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 6 4 3 3 4 5 7 9 12 14 15 15 15 15 15 15 15 15 14 13 10 7 5 5 6 8 10 11 13 nan
nan 9 9 10 10 11 11 10 9 8 7 7 6 5 5 6 7 7 8 8 9 9 10 11 12 13 13 12 10 9 9 9 9 9 9 8 7 6 6 7 8 10 11 12 13 14 14 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 8 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 9 11 10 7 5 5 7 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 8 8 7 5 3 3 3 4 6 8 10 12 13 13 13 13 14 15 16 16 14 11 10 8 7 6 7 9 11 12 13 14 nan
nan 7 8 8 10 11 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 9 10 11 12 12 12 11 10 10 10 9 10 9 9 8 7 7 7 8 10 12 13 13 13 14 14 14 13 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 9 10 9 9 8 7 6 6 6 7 7 8 9 10 11 12 12 12 11 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 9 9 9 8 7 6 6 6 8 10 9 8 7 7 7 6 6 6 8 8 8 8 8 9 9 8 8 8 9 9 10 9 8 8 9 9 9 6 4 2 2 3 5 7 10 12 12 12 12 11 12 13 15 17 16 12 8 6 6 6 7 9 12 13 14 14 14 nan
nan 6 6 7 9 10 10 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 12 13 14 14 14 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 8 8 7 7 6 6 6 7 8 9 9 10 11 11 12 12 12 11 9 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 10 10 9 8 8 8 8 7 6 5 5 6 7 9 9 10 10 10 8 5 4 5 7 8 8 9 9 10 10 9 8 9 9 9 9 8 8 9 9 9 7 4 2 1 2 5 7 10 11 12 13 12 11 10 11 12 13 14 13 9 6 4 4 6 8 11 14 16 16 16 15 nan
nan 6 6 7 9 10 10 9 9 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 11 11 10 10 9 9 10 10 11 12 13 14 15 15 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 11 11 12 11 10 9 9 9 9 9 8 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 7 5 4 4 4 6 7 9 9 10 11 11 9 7 6 8 9 10 10 9 9 10 9 9 8 9 9 9 9 8 7 7 6 4 1 -1 -1 1 4 8 10 12 13 13 13 12 11 11 11 10 9 7 6 4 4 4 6 8 10 12 15 18 18 16 15 nan
nan 7 8 9 9 10 10 10 10 9 8 7 8 8 9 9 9 10 10 11 11 11 11 10 10 9 8 9 10 11 11 10 9 9 9 10 11 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 8 8 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 5 4 4 5 7 9 9 10 11 11 10 9 9 10 12 13 13 12 10 9 8 8 8 8 8 8 8 7 6 5 3 2 0 -1 -1 1 5 8 11 12 13 13 13 13 14 15 15 14 11 7 4 3 2 3 6 8 10 12 14 18 20 19 16 13 nan
nan 8 8 9 10 10 11 11 11 10 8 8 7 7 8 8 9 10 11 11 11 11 10 10 10 9 9 9 10 10 11 10 10 9 10 11 12 13 13 12 12 12 11 11 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 8 8 7 8 9 10 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 8 7 6 6 7 8 9 10 11 11 11 10 9 9 10 11 13 14 14 13 11 9 9 9 8 7 7 6 5 3 2 1 1 1 1 3 6 8 11 12 12 12 13 13 14 16 18 20 21 19 16 12 9 7 7 8 9 10 12 14 18 21 21 18 15 12 nan
nan 8 8 9 10 10 11 11 11 10 10 9 8 7 7 8 9 10 11 11 11 10 10 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 10 10 10 11 11 11 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 9 8 8 7 8 9 9 10 10 9 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 10 11 12 12 13 13 13 12 10 9 9 10 12 13 13 13 13 12 11 10 10 8 6 3 2 0 -0 -0 1 3 5 8 11 13 14 14 14 14 14 15 16 18 19 21 21 21 20 19 17 15 13 12 11 11 13 15 17 20 21 19 16 12 10 nan
nan 9 9 10 10 10 11 11 11 11 10 10 9 8 8 8 9 10 10 10 10 10 11 11 12 12 11 9 8 7 7 7 7 7 7 8 9 10 10 11 11 11 10 9 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 10 11 11 12 12 11 10 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 8 8 9 11 12 13 14 15 15 15 13 11 10 10 11 12 13 13 13 13 13 12 11 10 9 7 4 2 1 1 2 4 7 11 14 17 18 18 18 17 17 18 18 19 20 20 19 18 16 16 16 16 16 15 13 12 12 13 15 17 19 19 18 15 13 11 10 nan
nan 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 10 10 11 12 12 12 11 9 7 6 6 5 5 4 4 6 7 9 10 10 10 10 10 9 8 8 8 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 10 11 12 12 12 11 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 13 14 13 13 12 12 14 15 16 15 14 13 14 14 14 14 13 10 7 6 6 7 9 12 14 17 20 22 22 21 20 19 19 19 19 19 18 17 15 14 11 10 10 11 11 11 12 13 14 15 17 18 18 17 16 14 13 12 12 12 nan
nan 10 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 8 8 8 9 9 10 11 11 11 11 9 8 7 6 5 4 3 4 6 8 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 9 9 10 11 12 12 12 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 14 16 18 18 16 15 15 16 18 19 20 18 14 12 12 14 16 18 20 21 22 23 22 21 18 16 14 14 14 14 13 11 10 9 8 8 9 10 11 12 13 14 16 17 18 18 18 17 15 14 12 12 12 12 12 nan
nan 10 10 10 10 11 11 10 10 10 10 9 9 8 9 9 8 8 7 7 8 8 9 9 10 10 10 10 9 9 8 7 6 6 7 9 11 11 11 11 11 11 10 9 7 6 6 7 7 8 8 8 8 8 7 6 7 7 8 9 10 10 10 9 9 8 8 8 9 10 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 8 9 9 10 10 11 13 14 16 16 16 16 15 16 17 19 19 19 18 16 15 16 17 18 19 20 20 19 18 16 13 11 9 9 10 10 10 9 8 8 8 9 11 12 13 13 14 15 17 17 17 17 17 16 14 13 12 12 12 13 12 12 nan
nan 10 10 11 11 11 11 10 10 10 9 9 9 9 8 7 7 6 6 7 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 12 12 11 9 8 7 7 8 8 9 9 9 9 9 8 8 9 9 10 11 10 10 9 8 8 8 8 9 9 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 12 13 13 12 13 13 14 15 15 15 14 13 13 13 14 14 15 15 15 15 14 13 12 11 10 11 11 13 14 14 14 14 13 14 15 16 16 15 13 13 14 14 15 14 14 14 13 12 12 11 12 12 13 13 12 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 9 8 7 6 6 7 8 8 8 8 9 9 10 10 10 10 11 11 12 13 13 14 14 14 13 12 11 11 11 12 12 11 10 9 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 8 8 8 8 9 10 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 12 12 12 14 15 16 16 17 17 17 18 18 18 18 18 18 17 16 14 12 12 11 12 12 12 12 11 11 11 11 11 12 12 13 13 13 nan
nan 11 11 11 11 11 11 10 10 9 9 9 8 8 7 6 6 7 7 8 9 9 9 9 9 10 10 11 11 12 13 14 15 15 15 14 14 12 10 10 9 10 10 11 10 9 9 8 8 8 9 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 11 11 11 11 11 10 10 8 6 5 6 7 8 8 7 7 7 9 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 12 13 13 13 13 14 15 15 16 16 16 16 16 16 15 15 15 16 15 14 13 12 12 12 11 11 11 11 11 10 10 11 11 11 12 13 13 14 14 nan
nan 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 7 8 9 9 10 10 9 9 10 10 11 12 13 14 15 16 16 15 14 12 11 10 9 9 9 9 8 8 7 7 7 8 8 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 11 11 10 9 7 5 4 5 6 7 6 4 4 5 7 8 10 11 11 11 10 10 10 10 10 9 8 7 7 7 9 12 13 14 14 13 13 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 12 13 13 13 13 13 nan
nan 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 14 14 14 15 14 14 13 12 11 10 10 9 9 8 7 7 6 6 7 8 9 10 10 10 9 8 8 10 10 11 11 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 9 8 6 4 4 4 5 6 5 3 2 2 3 5 6 7 8 8 7 7 9 9 9 8 6 4 5 7 11 13 14 14 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 10 11 12 12 13 12 12 11 11 nan
nan 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 11 11 11 10 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 10 11 11 11 12 12 12 11 10 9 8 7 7 7 7 7 6 5 4 3 3 3 5 6 6 5 4 3 2 2 2 3 2 2 3 4 6 7 7 5 3 3 6 10 14 14 13 12 11 11 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 11 11 12 12 12 11 10 9 9 nan
nan 10 10 10 12 12 13 13 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 9 10 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 10 11 11 10 9 8 7 7 7 7 8 8 9 9 9 8 7 6 5 5 5 6 8 9 10 10 11 11 11 12 11 11 11 9 6 4 3 2 3 3 3 2 2 2 3 4 6 8 9 9 9 8 6 5 4 3 2 2 3 5 6 6 4 2 2 6 11 16 17 14 12 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 9 10 10 10 11 11 11 11 10 9 8 9 nan
nan 9 9 10 11 12 13 12 11 11 11 11 10 10 9 9 9 10 11 12 13 13 12 12 12 12 12 12 11 10 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 8 8 8 9 11 11 11 10 10 9 7 6 6 6 6 8 10 11 10 9 8 6 5 5 6 7 9 9 9 9 10 10 11 11 11 11 10 7 4 1 0 1 1 1 0 1 3 4 6 7 9 10 10 11 12 11 11 9 8 8 8 9 10 10 8 6 5 8 12 17 20 18 14 11 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 nan
nan 9 8 9 10 11 12 12 11 11 11 11 11 10 9 9 10 11 12 13 14 14 13 13 12 12 11 10 10 9 9 10 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 8 8 9 10 11 12 13 13 12 10 8 6 5 7 9 11 12 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 8 5 4 3 2 2 3 4 5 7 8 9 9 10 11 12 12 13 13 13 13 13 14 14 14 14 12 11 11 13 16 19 19 15 12 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1623 1577 1525 1464 1445 1401 1338 1267 1202 1150 1107 1071 1030 983 934 891 867 866 862 857 855 859 855 830 784 742 714 703 643 595 570 550 528 504 499 534 630 823 1130 1529 1922 2206 2306 2330 2328 2315 2296 2281 2292 2320 2355 2391 2423 2451 2478 2511 2525 2514 2493 2473 2450 2375 2132 1588 1070 686 432 267 149 68 22 8 2 0 0 0 0 0 0 0 1 3 8 17 31 48 67 98 141 194 256 320 392 553 621 734 922 1132 1243 1120 937 712 557 403 257 183 167 155 152 170 236 309 377 516 668 688 498 290 155 79 28 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 3 3 2 2 1 1 1 0 1 1 1 1 1 2 2 1 0 0 0 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0
1601 1548 1496 1449 1417 1377 1315 1245 1179 1124 1085 1057 1018 970 926 894 878 878 880 872 859 839 798 722 624 549 526 538 506 493 510 534 551 547 536 540 591 735 1002 1382 1828 2173 2324 2384 2412 2432 2434 2406 2398 2404 2417 2437 2462 2489 2520 2549 2563 2562 2565 2556 2507 2362 1997 1387 858 495 271 132 46 9 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 32 54 84 120 164 209 267 329 405 517 649 707 569 487 350 242 169 121 102 100 98 95 91 113 138 148 180 192 120 49 14 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 4 3 2 1 0 0 1 1 1 1 1 2 2 2 2 1 0 0 0 1 1 2 1 1 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0
1540 1489 1450 1422 1379 1330 1278 1222 1164 1107 1058 1022 983 935 892 863 848 843 839 825 801 758 675 549 413 325 303 310 301 299 326 385 459 517 538 551 595 722 961 1315 1745 2075 2260 2368 2436 2497 2539 2511 2491 2477 2471 2477 2494 2519 2547 2574 2589 2603 2620 2596 2476 2203 1694 1079 607 316 150 58 14 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 5 14 29 46 69 95 120 147 186 246 303 308 283 237 178 132 107 93 84 77 67 60 56 55 52 46 43 37 23 8 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 5 2 1 1 1 1 1 1 1 1 2 3 3 2 1 1 1 1 1 2 2 2 2 3 2 3 3 3 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0
1450 1421 1406 1388 1345 1287 1231 1179 1125 1071 1020 982 953 904 866 838 810 777 738 696 653 593 498 377 263 193 162 142 124 123 156 225 323 432 495 534 597 728 951 1261 1626 1943 2168 2318 2407 2485 2562 2564 2552 2532 2521 2522 2534 2552 2574 2599 2611 2628 2613 2497 2227 1792 1220 709 371 175 72 24 7 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 5 11 19 30 44 59 75 94 111 105 109 105 97 92 90 86 74 64 52 44 38 32 26 22 16 10 6 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 6 7 6 3 1 1 1 1 1 1 1 1 2 2 2 3 1 2 2 2 2 2 3 3 3 4 4 3 3 4 4 3 3 2 1 1 2 2 2 2 1 1 0 0 0 0 0 0
1327 1297 1311 1310 1266 1200 1135 1089 1049 1007 965 932 906 877 847 800 736 662 581 499 419 341 264 193 138 104 77 57 47 55 84 140 224 337 435 510 608 758 972 1245 1561 1875 2115 2252 2349 2450 2544 2577 2572 2561 2556 2558 2566 2578 2591 2598 2575 2522 2386 2105 1673 1162 703 389 190 78 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 12 26 37 39 40 47 55 60 65 70 69 58 48 40 33 25 18 11 10 7 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2 3 3 4 4 3 4 5 5 5 5 5 5 4 4 3 2 2 3 2 2 2 1 1 1 0 0 0 0 0
1130 1120 1146 1158 1130 1100 1051 989 955 913 865 845 806 772 722 651 571 488 391 299 217 162 125 97 75 59 44 34 33 40 56 86 143 236 351 477 635 825 1048 1309 1601 1891 2088 2199 2317 2444 2536 2568 2570 2578 2582 2583 2577 2567 2549 2455 2259 1999 1686 1326 944 585 313 163 72 25 7 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 3 8 13 17 16 16 24 34 40 41 37 32 26 21 15 9 4 6 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 7 5 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 2 3 4 5 4 5 5 5 6 7 7 5 5 4 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0
1026 1026 1025 1016 988 943 914 778 746 711 651 630 581 529 482 420 361 297 217 156 108 89 81 76 72 72 71 68 66 62 61 64 80 130 225 413 655 897 1142 1412 1699 1947 2096 2200 2329 2467 2561 2585 2578 2586 2565 2496 2361 2179 1987 1724 1388 1047 746 502 314 174 78 35 14 5 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 1 5 10 15 17 16 15 13 12 10 8 6 6 5 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 3 5 6 7 8 7 4 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 4 4 5 6 5 5 5 5 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0
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