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 10 10 10 10 11 11 11 11 10 10 9 9 8 7 8 9 10 10 9 8 8 8 9 9 9 8 7 6 6 8 10 12 11 10 8 7 7 8 9 10 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 6 6 6 7 8 9 8 7 6 5 6 6 7 8 8 8 8 9 10 11 11 11 10 8 7 6 6 7 8 8 7 6 6 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 8 9 9 10 11 11 11 10 10 10 10 9 8 8 8 9 9 9 10 9 7 6 5 6 6 7 8 8 8 7 5 4 4 5 5 6 5 5 5 6 7 8 9 9 9 10 10 11 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 nan
nan 10 10 8 8 8 8 9 9 9 10 9 9 8 8 8 9 10 10 9 8 7 7 8 9 10 10 9 7 7 8 10 12 13 11 8 7 8 9 11 12 11 9 8 7 8 8 9 9 8 8 8 8 8 9 9 9 8 8 7 6 5 6 7 9 9 9 7 5 5 6 7 7 8 8 8 8 9 10 10 10 9 9 7 6 7 8 8 8 7 6 6 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 9 8 8 8 9 10 11 11 12 12 12 11 10 10 10 9 9 8 8 7 7 7 8 9 9 8 7 7 7 8 9 10 9 8 6 5 5 5 6 7 8 7 6 5 5 6 7 8 7 7 8 9 10 10 10 9 9 8 9 10 10 10 9 9 9 9 8 8 8 9 9 8 8 7 7 8 9 nan
nan 9 8 7 6 6 7 8 8 9 8 9 9 8 8 9 10 11 11 10 8 7 7 8 8 9 10 10 9 8 9 10 12 13 12 10 9 9 10 12 12 12 10 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 5 6 8 10 11 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 7 7 6 6 7 7 8 9 10 10 10 9 8 9 10 11 11 11 11 11 11 10 10 9 9 8 8 8 7 6 5 5 6 7 9 9 9 9 9 10 10 11 11 9 7 6 5 6 8 10 10 10 10 8 7 5 6 6 6 5 5 6 8 9 9 9 9 9 10 11 11 10 10 10 9 9 7 7 8 9 9 9 8 7 7 8 9 nan
nan 8 6 5 4 4 6 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 11 10 10 11 11 12 12 11 9 8 9 10 9 8 8 8 8 9 10 11 10 9 9 10 11 10 9 7 6 8 10 11 11 10 9 9 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 6 6 6 7 9 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 8 8 9 9 8 7 6 5 5 5 6 7 8 9 9 9 10 10 11 11 10 8 6 5 6 8 9 10 11 11 10 8 7 7 6 5 4 3 3 4 6 7 7 8 10 11 11 11 11 10 10 9 8 7 7 8 9 10 9 8 7 8 9 9 nan
nan 6 5 4 4 4 5 7 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 10 9 9 9 10 11 11 11 10 11 12 12 12 11 11 11 11 11 12 12 12 11 11 12 11 10 9 9 9 10 11 12 13 12 11 12 13 13 12 10 8 8 10 12 12 12 11 10 10 10 10 10 9 9 10 10 10 10 10 9 9 8 8 8 9 8 8 7 7 7 8 8 7 7 7 8 8 8 7 7 6 7 7 8 9 10 10 10 10 9 9 9 8 8 7 8 8 8 8 8 8 8 9 8 7 7 7 6 6 6 6 6 7 7 7 8 9 10 11 10 8 7 6 6 6 6 7 8 8 8 9 9 9 9 7 6 4 3 3 3 4 5 7 8 10 11 11 11 10 10 9 9 8 9 9 10 10 10 9 8 8 9 9 nan
nan 6 5 4 4 3 5 6 8 9 8 8 8 8 8 8 8 8 8 10 10 9 8 8 9 9 9 9 10 10 10 9 10 12 12 12 11 11 11 11 11 12 13 13 12 13 13 13 12 11 11 11 12 12 13 14 13 13 13 14 15 15 13 11 11 11 12 13 13 13 12 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 6 6 6 7 8 10 10 9 9 8 8 8 8 7 8 9 8 8 8 8 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 6 9 11 11 9 8 7 7 5 3 3 3 5 6 8 10 11 11 10 8 7 5 4 3 4 4 5 7 8 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 nan
nan 6 5 5 4 4 5 6 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 8 8 8 9 9 9 8 8 9 10 11 12 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 12 12 12 12 12 12 12 14 15 15 14 13 12 12 12 13 13 13 11 10 9 9 9 9 9 8 8 9 9 9 10 9 10 10 11 11 10 9 9 9 9 8 8 8 7 8 8 9 8 8 8 7 6 6 6 7 8 9 10 9 9 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 8 7 6 6 6 5 4 4 3 3 5 8 10 11 11 10 9 8 7 4 2 2 2 4 5 7 8 10 10 9 8 7 6 5 5 5 6 6 7 8 9 9 9 8 9 10 11 11 10 9 9 9 9 9 9 9 9 nan
nan 6 5 5 5 4 5 5 6 6 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 10 11 11 11 11 10 9 9 9 10 11 12 13 13 13 12 11 10 10 10 9 9 9 9 10 11 12 12 11 11 10 10 11 11 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 10 11 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 5 4 3 3 3 5 7 9 11 12 12 11 10 9 7 5 4 3 2 1 1 2 4 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 11 12 12 11 10 8 8 8 8 8 8 8 nan
nan 6 5 5 5 5 5 5 5 6 6 7 8 9 9 9 8 8 7 6 6 7 7 7 7 7 7 7 8 9 9 8 8 9 10 10 11 11 11 10 9 8 8 9 10 11 12 12 12 11 10 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 11 11 11 10 10 9 9 9 8 8 9 10 10 9 9 10 10 9 9 9 9 10 10 9 9 8 8 7 6 6 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 6 5 5 4 4 4 5 6 9 12 13 12 12 11 10 8 6 4 3 2 -0 -1 1 3 6 9 10 10 9 8 8 7 7 6 7 7 7 8 8 10 12 12 12 11 9 8 7 7 7 8 8 8 nan
nan 7 6 6 6 6 6 6 6 6 6 7 8 8 9 9 8 7 6 6 6 7 7 6 6 6 7 7 8 8 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 10 10 10 11 10 10 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 10 10 9 9 10 10 9 9 8 7 7 6 6 6 6 7 7 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 5 3 2 3 5 8 11 12 12 12 12 10 7 3 3 3 2 1 2 4 7 11 11 10 8 7 6 7 7 6 6 6 7 7 8 10 11 11 10 9 9 8 7 7 8 9 9 8 nan
nan 9 8 8 8 8 8 7 7 6 7 7 7 8 9 9 8 7 6 7 7 7 7 6 6 7 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 10 10 9 8 8 7 7 5 5 6 7 7 7 7 7 7 7 9 9 10 10 9 9 9 9 9 9 8 8 9 9 10 10 11 10 7 4 2 2 3 5 7 9 11 13 14 14 10 7 5 6 6 5 6 7 10 12 11 8 5 3 4 6 6 5 5 6 7 7 8 9 9 8 8 8 8 8 8 9 10 10 9 8 nan
nan 11 10 10 10 10 9 8 7 7 7 7 7 8 9 9 7 7 6 7 7 7 6 6 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 9 8 8 10 10 10 9 9 9 10 10 10 10 9 8 7 7 7 8 7 7 8 8 9 9 9 10 10 11 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 9 10 10 9 8 8 7 7 6 5 6 7 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 12 10 7 5 4 3 3 5 7 10 13 15 17 15 13 12 12 12 12 12 13 14 13 9 5 2 2 5 6 5 4 4 5 7 7 8 9 8 7 6 6 8 9 10 10 10 9 9 8 nan
nan 12 11 11 11 10 8 7 7 7 7 7 7 8 8 8 7 6 7 7 7 7 7 7 8 9 10 11 11 11 11 10 10 10 11 10 10 10 10 10 9 8 8 9 10 10 10 10 11 11 10 9 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 9 9 9 8 8 8 9 10 10 9 9 9 9 10 10 10 11 12 13 14 13 12 10 8 6 5 4 4 4 7 10 13 15 16 16 15 16 17 18 18 18 17 15 11 6 4 6 8 7 6 4 4 4 5 6 8 9 9 7 5 6 8 10 11 10 9 8 8 8 nan
nan 12 11 11 10 9 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 7 7 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 11 12 13 13 13 11 10 9 8 9 10 10 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 9 10 10 10 10 10 10 9 8 8 9 9 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 9 10 10 11 11 11 11 11 11 11 12 13 15 16 15 13 11 9 7 6 5 4 3 4 7 9 11 13 13 14 14 15 17 18 18 18 17 14 11 10 10 9 8 7 6 6 5 4 5 6 8 9 7 6 7 9 10 11 10 9 8 8 8 nan
nan 11 10 9 9 8 8 8 8 8 7 7 7 8 8 7 8 9 9 9 8 8 8 9 10 11 10 10 9 8 7 7 7 8 8 9 9 9 9 9 10 9 9 9 10 12 13 15 15 15 14 12 10 9 9 9 10 11 10 10 9 9 10 10 9 9 10 11 11 10 9 9 8 8 8 9 9 10 10 10 10 9 8 7 7 8 8 9 10 9 9 8 8 7 7 6 6 6 6 7 7 7 7 6 7 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 11 11 12 13 13 14 13 12 11 11 12 14 15 14 13 11 9 7 7 7 6 5 5 5 7 8 9 10 10 10 10 10 12 13 13 14 14 15 14 13 11 10 9 9 8 7 5 4 5 6 8 7 7 7 8 9 10 9 9 8 8 8 nan
nan 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 9 10 10 10 9 8 8 7 6 6 6 7 8 8 9 8 8 8 8 9 9 9 10 11 13 14 15 15 15 14 13 11 10 10 10 10 9 9 8 8 9 9 9 10 11 11 10 9 8 7 7 7 8 8 8 9 10 9 8 7 6 7 7 7 7 8 9 9 9 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 11 12 13 12 12 12 13 13 13 12 13 13 14 14 14 13 11 10 10 10 11 11 11 9 8 7 8 9 9 8 7 7 7 7 7 8 8 8 7 7 7 8 9 10 11 12 13 14 13 13 11 10 9 8 7 6 5 5 5 6 7 7 6 6 7 8 7 7 7 8 nan
nan 10 11 11 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 8 8 7 7 8 9 9 10 11 12 13 13 14 14 15 14 13 13 12 10 9 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 7 8 9 9 9 8 7 6 6 7 8 8 8 9 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 14 15 15 14 15 15 15 14 13 12 12 12 13 13 13 13 12 11 10 10 11 11 11 11 10 10 11 11 11 10 9 9 8 7 7 8 8 8 7 7 7 7 8 8 9 10 12 13 14 13 11 10 9 9 8 7 5 5 5 6 5 5 4 5 5 6 7 7 8 nan
nan 12 13 13 11 9 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 10 11 12 12 12 12 13 13 14 14 13 11 9 9 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 7 6 6 8 9 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 11 12 12 11 11 11 11 12 13 14 14 14 14 14 14 14 13 12 11 11 11 11 12 13 14 13 12 12 13 14 15 15 15 14 12 12 12 12 12 12 10 9 7 7 7 8 8 8 8 8 8 7 7 7 8 9 11 13 13 12 11 10 9 8 7 6 6 5 5 4 3 3 3 4 6 7 8 8 nan
nan 14 15 14 12 10 8 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 7 7 7 7 7 8 9 10 10 10 11 11 11 11 11 12 13 13 12 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 9 9 8 8 7 6 6 7 9 10 10 10 9 9 10 11 12 11 11 11 11 12 13 13 13 12 12 13 13 13 12 12 13 13 13 12 12 11 11 10 10 11 12 13 12 12 12 12 11 11 11 11 11 10 10 11 11 11 12 12 12 12 13 14 15 15 15 14 12 11 11 11 11 11 9 8 7 6 6 6 7 7 7 7 8 7 6 6 6 7 9 10 12 12 12 11 10 8 7 7 7 6 5 4 3 2 3 5 7 9 9 8 nan
nan 16 16 14 11 9 8 7 8 9 9 9 9 8 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 7 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 11 12 12 12 12 13 13 13 12 11 10 10 10 10 10 9 8 9 9 10 10 9 9 8 8 7 6 6 7 8 10 11 11 11 10 10 11 12 12 13 13 12 12 13 14 15 15 15 15 15 15 14 13 12 12 12 12 11 11 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 8 8 7 7 6 5 5 5 5 6 6 6 6 6 5 6 6 7 9 10 11 11 11 10 9 8 7 7 7 6 6 5 4 5 6 8 9 10 9 nan
nan 16 16 13 10 9 8 8 9 9 9 8 8 7 7 6 6 7 7 8 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 6 6 6 7 7 8 9 9 9 10 10 9 9 10 11 12 12 12 12 12 13 13 12 11 10 10 10 11 10 10 9 10 10 10 10 8 7 7 8 8 8 9 9 10 11 11 11 10 10 10 11 11 12 12 12 12 11 12 13 14 15 15 15 15 14 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 7 8 8 8 8 7 7 6 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 14 13 11 9 8 8 9 9 9 8 8 8 7 7 6 6 6 7 8 9 9 10 11 11 11 10 10 10 10 10 10 9 9 8 8 7 7 7 6 7 7 7 8 8 9 9 10 10 9 9 9 10 11 12 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 12 12 11 9 7 7 9 10 11 11 11 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 13 13 12 12 12 12 11 11 11 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 9 9 9 9 8 7 8 8 9 9 9 8 8 7 7 7 6 6 6 6 7 7 8 8 9 8 8 9 9 9 9 8 8 9 9 9 10 10 11 11 11 10 8 8 7 7 nan
nan 11 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 9 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 9 8 9 10 11 12 12 12 13 13 13 11 9 9 10 11 11 11 12 12 11 9 9 9 9 9 9 9 9 10 10 10 10 9 9 11 12 13 13 13 12 12 13 13 12 12 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 8 8 8 9 9 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 11 12 13 13 12 10 9 8 7 7 nan
nan 8 7 7 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 6 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 9 8 8 8 9 10 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 10 9 9 9 8 9 10 10 10 11 11 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 8 8 8 8 7 7 8 9 10 11 12 12 11 10 9 9 8 8 nan
nan 7 6 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 9 8 8 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 12 12 12 12 11 10 10 10 10 10 9 8 8 9 10 11 11 11 10 9 9 9 9 9 nan
nan 6 6 6 6 5 4 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 9 9 8 8 8 8 9 9 8 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 10 10 9 8 8 8 9 9 10 9 9 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 7 7 9 10 9 8 7 6 7 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 10 9 10 11 12 12 10 9 8 8 8 9 9 nan
nan 6 6 6 5 5 4 4 4 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 8 9 9 10 10 9 9 9 8 7 6 6 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 8 8 8 9 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 7 6 6 7 9 9 9 8 7 7 8 9 10 10 9 9 8 8 8 9 10 10 10 9 9 9 10 10 11 11 10 10 9 9 10 11 11 11 12 12 12 12 11 11 11 11 11 10 10 9 9 9 10 10 11 11 10 10 10 11 11 11 12 12 12 11 11 12 12 12 11 10 10 10 11 11 11 9 8 7 7 8 9 9 nan
nan 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 6 6 7 7 7 7 7 8 8 8 9 10 10 11 11 10 9 8 6 6 5 6 6 8 9 9 8 7 7 7 8 8 7 7 7 7 8 8 9 9 9 8 9 9 9 8 8 7 7 8 10 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 11 10 10 9 10 10 10 10 9 9 9 9 10 11 12 13 13 13 12 12 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 6 6 6 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 11 11 10 9 7 6 6 6 7 8 9 10 10 9 8 7 7 7 7 6 7 7 8 9 9 9 9 8 8 9 9 9 8 7 7 8 9 9 9 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 8 9 9 10 10 11 10 10 9 9 10 10 9 8 8 9 9 10 11 12 12 12 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 8 7 8 8 8 9 8 8 8 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 7 8 9 11 11 10 9 8 7 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 8 8 7 8 8 9 9 8 8 9 9 9 10 11 12 13 12 12 12 11 11 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 9 9 9 9 9 9 10 11 11 11 11 10 10 10 11 11 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 11 11 10 9 7 6 7 7 8 9 8 8 8 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 10 8 7 7 8 8 8 8 9 10 11 11 11 12 12 11 11 10 10 10 9 8 8 8 9 9 8 8 8 8 9 10 11 13 14 13 13 12 12 11 11 11 10 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 9 8 8 8 9 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 11 12 11 9 7 5 6 6 7 8 9 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 8 8 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 8 8 8 9 10 12 13 13 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 8 8 9 10 11 11 10 10 11 11 12 12 11 10 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 10 8 7 6 6 6 7 8 8 8 nan
nan 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 10 11 11 12 12 12 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 11 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 10 9 9 8 7 7 7 7 8 8 nan
nan 8 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 13 14 14 13 11 11 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 10 10 10 10 9 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 8 9 9 10 10 10 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 12 11 11 10 10 10 9 9 8 8 7 7 nan
nan 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 10 9 9 9 8 8 9 9 10 10 11 11 12 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 10 9 10 10 10 9 9 8 8 9 9 10 10 10 10 10 9 9 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 8 7 7 nan
nan 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 10 10 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 10 11 11 10 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 8 7 nan
nan 7 8 8 8 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 9 8 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 nan
nan 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 7 8 8 8 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 9 9 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 11 10 10 nan
nan 7 8 8 8 7 7 6 6 7 7 7 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 9 8 8 8 8 8 8 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 nan
nan 7 7 7 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 7 7 7 8 8 9 9 9 10 10 10 9 8 8 8 7 7 6 6 6 6 6 7 8 9 9 10 10 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 9 8 8 8 7 7 7 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 nan
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nan 16 16 17 17 17 16 16 17 17 18 17 15 14 13 13 13 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 9 9 10 11 11 11 10 9 10 11 11 10 9 9 8 8 7 7 8 10 12 14 14 12 11 10 9 9 9 9 8 8 9 9 10 10 12 13 14 14 14 13 12 10 9 7 6 5 5 6 8 9 9 9 7 5 5 7 9 10 10 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 11 12 nan
nan 15 15 15 15 15 15 15 15 16 16 16 14 13 13 13 12 11 11 10 10 10 10 11 10 10 11 11 11 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 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 8 8 8 8 8 9 10 10 9 9 8 8 7 7 7 6 6 6 6 7 8 9 10 10 10 9 10 10 11 11 11 9 8 9 10 11 11 10 9 8 7 6 6 6 7 10 12 13 12 11 10 10 9 9 9 9 9 10 10 10 10 11 12 13 13 13 12 12 10 9 8 8 8 7 8 9 9 9 9 7 6 6 8 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 9 9 10 11 12 nan
nan 14 13 13 13 13 13 13 14 14 14 14 13 12 12 13 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 9 10 11 11 11 10 9 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 11 11 10 8 7 8 10 11 12 10 8 7 7 6 5 5 6 8 10 11 11 10 10 10 9 8 8 8 9 10 11 10 10 9 10 12 13 13 13 12 10 9 10 11 12 12 12 10 8 8 7 6 5 6 8 10 10 10 10 10 11 11 12 12 11 10 10 9 9 8 8 8 9 9 10 11 12 nan
nan 14 13 12 11 10 11 12 12 13 12 12 11 11 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 10 11 12 13 12 11 10 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 8 7 7 8 11 12 10 9 7 7 6 6 5 5 6 8 9 10 10 10 10 9 8 7 7 8 10 11 11 10 9 9 10 12 13 12 11 9 9 10 12 13 15 15 11 8 6 4 4 4 6 9 10 11 11 11 11 12 12 12 12 10 10 10 10 9 8 8 8 9 9 10 11 11 nan
nan 15 14 13 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 7 9 10 11 12 13 12 11 10 9 8 9 9 10 10 10 10 9 8 7 7 6 6 7 8 9 9 8 7 7 7 7 7 9 11 10 8 7 6 6 6 6 6 6 7 8 9 9 10 10 9 9 8 7 7 9 10 11 11 10 10 10 11 11 11 10 9 9 9 10 12 16 16 13 10 7 5 5 6 8 9 10 10 10 11 12 12 12 11 11 11 11 12 11 9 8 8 8 8 9 9 10 9 nan
nan 14 14 14 13 13 13 12 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 7 7 8 9 10 12 12 12 11 11 10 9 9 8 8 8 10 10 10 9 7 6 6 5 5 5 7 8 8 7 7 7 7 7 6 8 9 9 8 7 6 6 6 6 6 6 7 8 8 9 9 10 10 9 8 7 7 8 10 11 11 10 9 9 10 10 10 9 9 10 10 10 12 15 15 14 13 10 8 7 8 8 8 9 9 9 10 10 10 10 9 10 11 12 12 10 9 8 8 8 8 8 8 8 8 nan
nan 13 13 14 14 14 14 13 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 8 8 8 8 10 11 12 12 12 12 12 12 11 8 6 6 7 10 11 11 10 8 6 6 5 5 5 6 8 8 8 9 9 9 8 6 7 9 9 9 7 6 6 7 7 7 7 7 7 8 9 9 10 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 12 13 13 12 12 11 10 9 8 7 7 8 8 8 9 9 9 9 9 10 11 11 11 9 8 8 7 7 8 7 7 7 9 nan
nan 12 12 13 13 13 13 13 12 11 11 10 10 10 9 9 9 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 9 8 8 9 10 12 12 11 11 12 13 13 11 7 6 6 8 11 12 13 11 8 7 6 6 6 7 8 9 10 10 11 11 10 8 7 7 8 9 9 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 11 11 10 10 11 11 10 9 8 7 7 7 7 7 8 8 8 9 9 9 10 10 9 9 8 8 7 6 5 4 4 5 8 nan
nan 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 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 9 8 8 7 7 8 9 10 9 9 9 9 10 10 10 10 10 12 12 12 9 6 7 8 10 12 13 13 11 9 8 7 7 8 9 10 11 11 11 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 7 6 6 6 7 6 5 5 6 7 7 8 8 9 10 9 9 9 9 9 9 8 7 9 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 10 9 8 7 6 5 4 2 1 1 4 8 nan
nan 11 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 8 9 9 10 10 10 10 11 11 10 8 7 8 9 11 12 12 11 10 9 9 9 9 9 10 11 11 10 9 9 9 9 10 10 9 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 6 5 4 4 5 6 6 5 5 6 7 8 8 9 10 10 9 9 9 9 9 7 6 5 7 9 10 10 9 8 8 7 7 7 7 8 8 8 9 10 10 11 10 8 6 4 4 4 4 4 5 9 12 nan
nan 11 10 10 9 10 10 10 9 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 10 10 11 11 11 11 10 10 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 9 8 7 8 9 12 13 11 8 7 7 8 9 9 8 8 8 8 8 7 7 7 7 6 5 4 4 4 5 6 6 6 6 7 8 9 10 10 9 9 9 10 10 10 9 7 5 4 6 9 10 10 9 8 8 7 7 8 8 8 9 9 10 11 13 13 12 9 6 5 6 7 8 10 12 14 15 nan
nan 11 10 10 10 10 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 10 9 9 8 8 9 10 11 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 8 8 7 7 8 9 13 15 13 10 8 7 8 8 9 9 9 8 8 8 8 7 7 7 6 6 5 5 5 5 6 7 8 8 9 9 9 9 9 8 9 10 11 10 10 8 6 4 4 6 8 9 8 8 8 8 8 8 9 10 10 11 12 13 15 16 14 11 9 8 9 10 11 11 13 15 16 17 nan
nan 9 9 9 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 11 11 11 12 12 13 12 11 10 9 8 8 9 9 9 10 10 10 10 9 9 8 7 7 6 7 7 6 7 7 9 12 15 14 13 10 9 8 8 9 10 9 9 8 8 8 8 8 7 7 7 6 6 6 7 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 8 6 5 5 6 7 8 8 8 8 9 10 11 11 12 12 13 15 17 19 18 14 10 9 10 11 12 13 13 14 15 17 19 nan
nan 8 8 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 11 11 12 12 11 9 8 7 7 7 8 8 8 9 10 11 11 10 9 7 6 5 5 5 6 7 7 8 9 10 11 12 13 13 11 10 9 9 10 10 9 9 9 9 9 9 8 9 8 8 7 8 10 12 12 11 10 9 9 10 10 10 11 10 10 10 9 9 8 6 5 5 5 6 7 8 9 10 11 12 12 13 14 14 15 17 19 19 16 12 10 10 12 12 13 13 14 15 17 19 21 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 10 9 8 7 6 6 6 6 7 8 9 9 9 9 10 11 12 14 14 12 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 11 11 11 10 10 10 11 12 12 11 10 10 10 10 8 7 5 4 3 3 4 6 8 9 10 11 12 13 13 13 14 14 15 16 17 15 11 10 10 12 13 14 14 14 15 16 18 20 20 nan
nan 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 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 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 12 14 15 14 12 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 9 9 8 7 5 3 1 1 1 3 5 8 10 11 11 12 13 13 13 14 14 14 14 14 13 11 10 10 12 14 14 15 15 15 17 18 20 20 18 nan
nan 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 9 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 10 13 14 14 13 12 10 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 9 10 11 11 11 11 10 9 7 6 5 3 2 1 1 3 4 6 8 10 11 12 12 13 13 14 15 16 16 15 15 14 13 12 12 13 14 15 15 15 16 16 18 20 21 19 16 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 10 10 9 8 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 10 10 12 13 14 14 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 7 5 3 2 2 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 19 17 16 15 14 14 14 14 15 15 15 15 16 18 19 19 18 15 13 nan
nan 10 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 9 10 10 10 10 9 9 11 13 15 16 14 13 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 7 4 3 2 3 3 5 6 7 9 10 10 11 11 12 13 15 16 18 19 21 22 21 18 16 15 14 13 13 14 14 15 15 15 15 17 17 17 16 13 11 10 nan
nan 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 11 11 12 13 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 7 7 8 9 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 10 12 15 15 15 14 13 12 11 10 9 8 9 9 9 9 9 9 9 9 10 10 9 9 8 6 6 6 6 7 8 9 10 12 13 13 13 12 13 14 16 17 18 20 20 20 18 15 12 11 10 10 11 12 14 15 15 15 15 16 16 15 13 11 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 13 13 14 14 13 12 10 10 10 11 11 11 11 10 10 10 11 12 13 14 14 13 11 11 12 12 13 13 14 15 16 16 14 13 12 12 14 14 14 15 15 15 14 11 9 9 9 10 11 14 16 17 17 16 16 16 16 15 13 12 11 11 11 11 nan
nan 10 10 10 11 11 10 10 9 9 9 9 9 8 9 9 9 9 10 11 11 11 11 10 10 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 9 9 10 10 10 11 11 11 10 10 10 11 11 10 9 9 10 10 11 11 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 13 13 13 12 12 12 13 14 15 16 17 17 17 16 16 16 15 15 16 16 17 16 15 12 9 7 7 9 10 10 11 12 13 13 12 12 13 14 15 15 16 18 19 18 17 16 15 14 14 13 12 12 12 12 12 12 nan
nan 10 11 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 9 8 8 7 7 8 9 9 9 9 9 10 12 12 11 11 10 11 11 11 10 9 10 11 11 11 10 9 9 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 11 12 14 15 16 15 15 15 14 14 14 14 13 14 15 16 15 14 12 9 7 6 7 10 12 13 15 16 17 17 18 19 20 20 19 17 16 16 16 15 14 13 12 12 11 11 11 12 12 12 12 10 nan
nan 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 10 10 9 8 8 8 9 9 9 8 8 8 9 11 12 12 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 12 12 12 13 15 16 18 18 18 19 20 21 21 20 18 15 13 12 12 12 11 11 11 10 10 10 10 11 11 12 11 10 8 nan
nan 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 9 9 10 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 7 7 9 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 7 8 9 11 12 13 13 14 15 15 14 14 15 15 16 15 15 15 15 16 16 15 13 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 9 7 nan
nan 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 9 9 9 8 8 8 8 9 11 12 12 11 11 10 9 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 9 7 5 3 1 1 2 3 4 6 7 8 9 9 9 9 9 10 10 10 8 5 4 4 7 10 12 13 13 13 13 12 11 10 10 10 11 11 11 11 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 9 10 10 9 8 8 8 9 9 9 11 12 12 12 12 12 11 10 9 9 9 9 9 10 11 12 12 12 11 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 11 11 10 9 7 5 3 1 -0 -1 -1 0 2 4 6 7 7 7 7 8 9 10 10 8 3 1 1 3 7 11 13 13 12 11 10 8 7 6 7 7 8 8 9 10 10 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 11 11 11 11 10 10 10 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 10 10 10 10 8 8 8 9 10 10 10 10 11 11 12 12 12 11 10 9 9 8 7 8 9 12 14 15 15 13 11 10 10 11 11 12 13 13 12 10 9 9 8 7 7 8 10 11 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 8 7 6 6 5 4 4 3 2 2 3 3 4 4 3 3 2 3 5 5 5 3 -0 0 2 5 10 12 13 12 11 10 9 8 7 7 6 7 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 8 7 8 8 10 10 10 9 10 10 10 11 11 10 10 9 9 8 7 7 9 12 15 17 18 16 12 11 10 10 10 11 13 15 15 13 10 8 6 4 4 4 5 6 8 10 10 10 10 11 11 11 11 10 10 9 8 7 7 7 6 6 5 6 6 7 8 8 8 8 8 8 7 7 6 5 4 3 1 1 1 2 3 2 1 0 1 4 8 12 15 15 14 13 12 11 11 10 9 8 8 7 7 8 8 8 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 10 11 11 11 11 11 10 10 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 9 9 9 9 8 8 8 9 12 15 18 18 16 13 11 9 8 8 9 11 13 13 12 9 7 5 4 4 4 4 5 7 7 7 7 7 7 8 9 10 10 9 7 5 3 2 1 2 2 4 6 7 8 9 9 9 9 9 9 9 9 8 7 6 5 5 5 6 5 4 4 4 7 11 14 18 19 18 16 14 13 13 12 11 10 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 10 nan
nan 11 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 8 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 11 14 17 17 16 13 10 7 6 6 7 9 11 11 10 9 8 8 8 7 7 7 7 7 6 4 4 3 3 5 8 10 11 9 7 4 2 2 2 4 5 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 8 8 8 9 11 14 18 20 19 17 15 14 14 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 10 11 11 10 10 10 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
921 814 736 711 751 798 835 868 890 886 853 813 778 735 661 586 539 522 510 512 510 489 459 432 419 422 428 384 371 379 393 412 430 429 433 434 433 421 405 400 378 361 341 306 273 255 250 245 242 251 255 255 248 235 233 223 207 196 196 199 200 192 167 152 137 125 113 97 80 72 67 64 60 56 50 43 37 23 10 4 2 2 1 1 1 2 3 2 2 3 3 3 0 1 1 0 0 0 0 0 1 1 3 5 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
797 701 651 644 672 709 738 781 819 822 787 753 718 691 663 587 515 518 493 506 513 489 460 444 447 465 494 466 437 426 422 411 397 404 438 434 444 448 442 437 408 388 370 341 308 291 290 276 276 293 296 290 276 261 262 266 247 229 227 228 217 190 154 138 129 125 120 109 94 83 77 73 65 58 52 48 45 36 26 10 4 3 2 2 2 3 5 7 8 9 9 10 7 6 5 3 2 1 0 2 0 1 2 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
688 640 619 615 621 631 653 693 732 747 734 722 706 700 678 600 515 490 478 496 520 518 494 465 454 477 524 511 480 452 423 388 361 377 451 442 451 460 461 465 436 392 369 368 357 336 321 307 311 327 325 314 300 290 292 299 278 258 252 248 232 200 163 142 130 124 121 117 110 100 95 85 75 66 60 56 54 47 41 20 8 5 4 3 3 4 5 8 9 10 11 14 14 13 10 8 6 5 3 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
630 629 624 618 619 624 636 655 668 666 641 581 540 504 488 474 459 451 451 467 498 507 467 418 400 418 465 467 454 431 394 356 343 362 441 448 450 439 416 402 388 358 349 380 396 380 358 359 339 342 341 335 330 329 330 322 295 273 260 248 230 207 180 155 138 128 118 110 106 111 110 103 94 86 76 68 62 55 50 30 14 8 7 6 8 8 10 9 7 7 8 10 13 13 11 11 11 9 8 7 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
611 625 627 616 598 575 563 567 585 591 576 555 577 596 566 506 457 442 460 505 533 553 530 486 445 414 403 387 380 367 347 315 284 320 393 435 443 424 386 339 303 319 342 371 394 402 393 371 350 352 355 357 354 352 358 334 306 283 263 242 220 198 175 156 149 142 130 117 114 122 128 128 123 112 96 79 72 66 62 42 20 9 10 10 9 9 10 10 9 6 6 8 11 13 11 9 10 9 10 11 9 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
556 581 600 605 595 573 553 531 527 505 461 445 467 473 467 467 463 447 423 396 337 291 242 216 229 261 258 244 266 285 328 331 262 275 324 380 406 408 390 350 296 307 335 346 360 376 381 360 345 349 355 367 367 355 360 336 312 293 276 256 234 211 188 167 172 171 160 145 136 138 147 148 143 134 117 92 84 76 68 51 24 6 7 11 6 6 8 10 10 7 6 6 11 13 12 8 5 4 6 9 8 8 9 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
470 517 551 553 518 463 400 349 322 287 243 223 254 318 392 437 387 266 161 107 78 58 40 31 38 60 75 98 162 208 268 288 239 238 257 290 319 342 358 359 334 334 346 339 338 346 352 340 327 336 347 369 375 360 357 346 332 323 316 306 290 267 220 200 214 227 223 200 168 154 158 151 141 134 121 97 86 76 65 54 29 4 3 5 5 5 5 4 3 4 5 4 6 6 5 4 3 1 1 1 2 6 9 9 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
372 430 475 484 453 394 285 170 122 98 79 82 136 239 318 288 141 13 5 5 4 3 2 1 2 8 18 39 83 118 157 180 174 171 174 186 208 239 279 315 333 330 334 329 325 324 321 313 316 331 346 362 367 356 350 350 351 354 355 352 344 324 280 266 275 290 288 261 218 183 172 160 147 137 126 105 85 75 62 61 40 7 3 3 3 3 3 2 1 0 1 2 5 6 5 4 4 2 1 0 2 7 11 12 11 9 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
306 351 385 378 305 166 79 28 8 3 4 13 30 43 27 8 0 0 0 0 0 0 0 0 0 1 3 9 21 35 46 50 49 60 75 82 99 133 184 241 285 296 296 291 283 275 272 284 318 348 356 357 357 354 356 359 357 358 352 343 334 316 296 286 279 272 265 253 232 201 192 181 167 153 136 109 80 73 63 61 43 13 4 2 1 0 1 1 1 0 0 1 2 1 0 2 3 2 1 0 2 5 9 12 12 12 13 12 10 9 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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