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 10 11 11 11 11 10 9 9 9 10 11 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 8 8 7 7 8 9 9 8 7 7 6 5 5 6 7 7 7 8 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 10 9 8 7 7 8 9 9 8 8 8 9 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 9 8 6 6 6 7 8 9 9 9 8 6 4 4 4 5 6 7 7 7 7 7 7 7 8 9 9 9 8 8 9 9 9 8 9 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 7 9 10 nan
nan 9 9 8 8 9 10 10 9 9 9 10 11 10 10 11 11 10 9 8 9 9 10 11 10 8 8 9 9 9 10 10 10 10 9 7 6 5 6 7 8 8 6 6 7 8 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 8 7 8 9 9 8 8 7 8 9 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 9 8 7 7 8 9 10 9 8 8 8 8 9 10 10 9 7 6 5 6 7 8 9 8 7 5 5 5 5 5 5 5 6 7 7 7 8 8 8 9 10 11 11 10 10 10 10 9 8 8 8 8 8 7 7 6 6 8 10 nan
nan 8 7 6 5 6 8 9 9 8 8 9 10 9 9 11 11 11 10 9 9 10 11 12 11 9 9 10 10 11 11 12 12 10 9 7 6 6 7 8 9 8 6 5 6 7 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 10 10 9 9 8 8 9 9 10 10 11 11 11 11 10 9 9 8 8 8 7 6 6 6 6 8 9 10 10 10 10 10 10 11 10 9 7 6 6 7 9 11 11 9 6 4 3 5 6 5 4 3 4 5 6 6 6 6 7 9 11 11 11 10 9 9 9 9 8 7 8 8 8 8 7 6 6 8 10 nan
nan 6 5 4 4 5 6 8 8 8 8 9 9 9 9 10 11 12 11 11 11 11 12 12 12 11 11 11 12 13 13 13 12 10 9 8 7 7 8 9 9 8 6 5 5 7 9 9 8 8 7 7 7 8 9 9 9 9 10 10 10 9 8 8 9 10 10 10 9 9 9 9 8 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 8 8 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 7 6 6 6 6 7 8 9 10 10 10 11 11 11 11 9 7 6 6 7 9 11 11 9 6 4 4 6 8 7 6 4 4 4 5 4 4 5 6 8 10 10 10 9 9 9 9 8 7 7 8 8 9 9 7 6 7 9 10 nan
nan 5 4 4 4 4 6 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 11 10 10 9 9 9 9 10 8 6 5 6 7 8 8 8 7 7 8 8 8 9 10 10 10 10 10 10 10 9 8 9 10 11 11 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 11 10 9 9 9 9 9 8 8 7 7 8 8 7 8 8 9 9 9 8 8 8 9 9 9 10 10 10 9 8 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 8 8 8 10 11 11 10 8 6 6 7 8 9 9 9 8 8 8 9 10 10 9 7 7 6 5 4 4 5 6 6 7 8 9 9 9 9 8 8 8 7 8 9 9 9 8 7 9 10 11 nan
nan 4 4 4 4 5 6 7 8 9 9 10 9 9 8 8 8 8 9 11 12 11 10 10 11 12 13 13 13 12 12 12 13 13 13 13 12 11 10 10 10 9 8 7 7 8 8 8 8 8 8 9 10 10 10 11 11 10 10 10 11 11 10 9 9 10 11 12 12 12 11 10 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 9 11 11 10 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 4 4 5 5 7 8 10 11 10 9 8 7 7 6 6 7 8 9 11 11 11 11 11 10 10 9 8 7 6 5 6 6 5 6 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 11 11 11 nan
nan 4 4 4 4 5 6 7 7 8 9 9 9 8 7 6 6 6 8 9 10 10 9 9 10 11 12 12 11 11 11 11 12 13 14 14 14 13 12 12 11 10 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 10 10 11 12 11 10 10 10 11 12 13 12 11 10 9 8 8 7 8 8 9 9 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 7 8 8 8 9 9 8 8 7 6 5 6 8 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 4 5 6 6 8 9 11 11 10 10 9 8 6 5 4 6 8 10 10 9 9 9 9 9 9 8 7 6 7 7 6 6 6 7 8 9 8 8 7 8 9 10 10 9 8 8 9 10 12 12 11 nan
nan 4 4 4 4 4 5 6 6 7 8 9 9 9 7 6 5 6 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 12 13 13 14 13 13 13 12 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 10 11 12 11 10 9 9 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 9 10 11 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 8 8 7 7 7 7 7 6 5 6 6 6 7 8 10 12 12 12 11 10 9 7 6 7 8 8 6 5 5 6 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 10 11 10 9 8 8 9 10 11 11 10 nan
nan 5 4 4 4 4 5 5 6 6 7 8 9 9 8 7 6 7 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 11 12 13 13 13 13 12 11 10 10 12 13 15 15 14 11 9 8 8 8 7 6 6 6 6 6 7 7 7 8 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 7 7 8 8 8 8 9 10 10 10 9 9 9 10 10 9 8 8 9 8 7 6 6 6 7 7 6 7 8 10 12 13 13 13 12 11 11 11 11 8 5 3 3 4 6 7 8 8 8 8 7 7 7 7 7 7 7 8 7 7 8 10 11 10 10 9 9 9 10 11 11 10 10 nan
nan 6 5 5 5 5 5 5 6 6 7 8 9 9 9 8 8 8 7 8 7 7 6 6 6 7 9 10 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 11 13 14 15 14 13 11 10 9 8 7 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 8 8 8 7 7 6 6 7 7 7 7 7 9 10 11 10 9 9 10 10 10 9 8 8 9 9 8 7 7 8 9 9 7 6 6 8 10 11 12 12 13 15 16 16 13 9 5 3 2 4 6 8 9 9 8 8 8 7 7 7 6 7 7 8 7 7 8 9 10 9 9 8 9 10 11 11 11 11 10 nan
nan 8 8 8 8 8 7 6 6 6 6 7 8 9 9 8 8 8 8 8 7 7 7 7 8 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 9 9 8 7 6 5 5 5 5 5 5 5 5 6 7 7 7 7 8 8 8 8 7 7 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 8 9 10 9 9 8 8 9 9 9 8 8 9 10 10 10 10 11 12 11 8 6 5 5 6 8 9 10 12 14 16 16 13 10 7 5 4 4 5 7 9 8 7 6 7 8 8 7 6 7 8 9 8 8 8 8 8 7 7 8 9 10 11 10 10 10 10 nan
nan 10 11 11 10 9 8 7 6 6 6 6 7 7 8 8 7 8 8 8 7 7 7 8 10 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 11 11 11 11 12 14 15 14 13 12 12 12 11 11 10 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 8 8 8 8 10 11 11 10 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 7 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 10 11 11 12 13 13 11 8 6 5 5 5 5 7 8 10 11 12 12 11 10 8 6 4 4 5 6 6 4 2 2 5 7 8 7 6 6 7 9 9 9 8 8 6 6 7 9 10 10 9 9 8 9 10 nan
nan 10 11 11 11 10 8 7 6 6 6 5 6 6 7 7 7 8 8 8 8 7 8 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 10 10 11 11 12 14 15 15 13 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 12 12 12 11 11 10 10 10 10 9 10 10 11 11 11 11 10 9 8 8 8 8 9 10 10 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 9 9 8 8 9 9 9 10 11 11 11 11 12 11 9 8 7 6 5 5 5 6 8 9 10 10 10 11 10 9 8 7 7 8 8 7 3 1 1 4 7 8 7 6 6 6 7 8 8 9 8 7 6 7 10 10 10 8 7 7 8 9 nan
nan 8 9 9 10 9 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 10 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 11 12 13 14 14 13 12 12 12 12 12 11 11 10 11 12 12 12 11 11 11 11 11 11 12 13 12 12 11 12 12 12 11 12 12 11 9 9 9 10 10 11 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 10 8 9 10 11 11 10 10 10 11 10 10 10 11 11 12 11 10 9 9 8 8 7 6 5 6 8 9 10 11 11 11 10 10 9 10 10 12 13 12 10 9 9 9 9 8 7 6 6 6 6 6 7 8 8 7 7 8 9 10 9 8 6 6 7 7 nan
nan 7 7 7 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 11 12 13 13 13 13 12 12 12 12 12 11 10 9 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 11 10 9 9 9 10 11 12 11 11 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 11 10 9 10 12 13 12 12 12 12 12 11 10 9 9 11 12 11 10 10 10 9 8 8 7 6 6 7 9 11 12 13 12 11 10 9 9 10 12 14 16 18 19 17 13 10 7 6 5 6 6 5 5 5 5 6 6 6 7 8 8 8 7 6 6 7 7 nan
nan 9 7 7 7 6 6 7 8 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 11 12 12 13 13 13 13 13 12 12 11 11 10 8 8 8 9 9 10 10 11 11 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 10 12 12 12 11 11 12 13 13 13 12 12 12 13 12 10 8 8 9 10 11 10 10 10 9 8 8 8 7 6 6 7 9 11 12 12 11 11 9 8 7 8 10 13 17 19 17 13 9 7 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 7 7 nan
nan 12 9 8 7 6 6 8 9 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 9 10 10 10 9 9 8 8 7 7 7 8 9 9 10 11 12 12 12 12 13 13 13 13 12 11 10 9 8 7 8 8 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 10 10 10 10 9 9 9 10 10 11 10 10 10 9 9 9 8 7 7 8 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 13 13 12 12 11 11 11 12 13 13 12 11 10 10 10 10 11 11 11 10 9 9 9 8 7 7 7 8 9 10 10 11 10 9 8 6 7 8 10 12 14 14 12 10 9 8 6 5 5 6 6 6 5 3 3 3 4 5 6 6 6 6 7 8 8 nan
nan 16 12 9 8 7 8 9 10 10 9 9 9 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 12 12 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 8 8 9 9 10 10 10 10 10 9 9 8 9 10 10 11 11 11 12 12 12 12 11 11 10 10 11 12 13 14 13 12 11 11 11 12 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 10 11 12 12 12 12 11 10 8 8 7 7 7 6 5 4 4 4 5 5 5 5 7 9 10 10 nan
nan 18 15 11 9 9 9 10 10 10 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 8 7 7 7 7 8 9 9 10 11 11 10 10 11 11 12 12 13 12 11 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 13 13 12 12 11 11 11 11 11 11 12 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 10 10 11 12 13 13 12 12 12 12 12 11 11 11 10 9 9 8 8 7 7 7 7 8 8 8 9 9 10 11 12 12 12 12 11 10 10 9 8 7 6 5 5 5 6 5 5 6 9 11 12 11 nan
nan 17 16 12 11 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 8 8 8 7 7 8 8 9 10 10 11 11 11 11 11 11 11 12 13 13 12 12 12 12 12 11 10 10 10 11 10 9 9 9 9 9 9 9 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 11 12 13 14 14 14 14 13 12 12 11 12 11 11 10 10 10 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 7 6 6 6 6 7 7 8 8 8 8 9 10 11 11 12 12 12 11 10 9 7 7 6 6 7 7 6 7 8 10 12 12 11 nan
nan 16 15 13 11 10 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 7 7 8 8 9 10 10 11 11 11 11 11 11 12 13 13 13 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 9 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 7 8 8 8 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 6 5 5 6 6 6 7 7 7 7 8 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 10 10 9 nan
nan 13 12 11 10 9 9 10 10 10 10 9 9 8 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 8 8 8 9 10 10 10 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 9 8 8 8 9 9 10 10 11 11 10 9 8 7 8 9 9 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 8 7 7 8 10 11 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 10 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 nan
nan 10 9 9 8 8 9 9 9 9 9 8 8 7 6 6 6 6 7 8 8 9 9 10 10 10 9 9 10 10 10 10 9 9 9 8 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 10 9 9 8 9 9 10 10 11 11 11 11 9 8 7 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 nan
nan 8 7 7 8 8 8 8 8 8 7 7 6 6 5 5 5 6 6 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 10 9 9 9 9 10 10 11 11 11 11 10 8 8 9 9 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 7 7 8 10 11 12 12 11 11 11 11 11 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 10 10 9 10 9 9 8 7 8 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 10 11 12 11 11 9 9 9 8 8 8 nan
nan 7 7 7 8 8 7 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 10 10 9 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 10 11 11 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 9 8 8 9 9 8 8 nan
nan 7 7 8 8 8 7 7 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 9 8 8 8 9 10 10 10 9 9 8 8 9 9 9 9 9 8 9 9 10 10 9 8 8 7 7 7 7 7 8 8 8 8 7 6 6 7 9 10 10 10 9 9 9 8 8 7 6 6 6 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 10 10 10 11 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 nan
nan 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 8 7 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 7 6 6 7 9 10 10 10 9 8 8 8 8 8 8 7 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 10 9 9 9 10 10 11 11 12 12 12 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 10 11 11 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 11 11 11 11 10 9 9 9 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 12 11 10 10 10 10 10 9 9 8 8 9 9 10 11 12 12 13 12 12 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 nan
nan 8 8 8 9 9 9 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 10 8 7 7 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 9 8 8 8 9 10 11 12 12 12 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 9 9 9 8 8 8 nan
nan 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 8 8 9 9 10 11 12 12 13 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 8 9 9 9 8 8 9 10 10 11 12 11 11 11 11 11 12 12 11 12 12 12 12 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 7 7 8 9 9 9 9 9 8 nan
nan 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 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 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 9 9 10 12 14 14 13 12 12 12 12 12 12 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 8 9 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 9 7 7 8 8 9 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 10 10 9 10 10 9 9 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 10 11 13 13 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 7 7 9 10 11 11 11 10 10 11 11 12 11 11 10 9 9 9 9 10 10 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 8 8 8 8 9 9 9 8 nan
nan 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 12 12 13 12 11 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 10 9 8 8 9 10 11 11 11 10 10 10 10 10 9 9 8 7 7 7 8 9 10 10 11 11 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 9 8 8 8 nan
nan 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 11 12 13 13 12 11 10 10 10 10 10 10 11 10 10 10 10 10 9 9 8 8 8 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 9 9 8 8 9 10 10 10 11 10 10 10 10 10 9 8 7 6 7 8 9 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 nan
nan 8 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 12 12 13 12 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 8 7 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 nan
nan 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 10 9 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 nan
nan 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 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 6 7 7 8 9 9 9 8 8 8 8 8 8 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 9 9 9 8 9 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 9 8 7 7 8 9 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 10 11 12 12 11 10 9 9 9 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 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 10 10 10 9 10 10 10 10 9 8 8 8 9 9 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 9 8 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 11 12 12 11 10 10 10 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 9 9 10 10 10 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 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 9 10 10 10 10 10 9 10 10 10 10 10 8 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 9 9 9 10 11 11 11 10 10 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 nan
nan 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 10 9 8 7 7 7 7 7 9 10 10 11 11 11 11 11 11 11 10 10 11 11 10 10 9 9 9 10 10 11 11 11 10 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
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nan 12 14 15 17 17 17 17 17 17 18 17 16 15 15 15 14 13 12 11 11 10 10 10 11 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 10 9 9 8 8 8 9 9 9 8 7 7 6 5 5 7 9 11 13 14 14 13 11 10 10 10 10 9 9 8 8 8 8 9 10 12 13 13 11 10 10 9 10 10 11 10 10 10 10 10 10 9 6 2 1 3 7 10 10 10 10 12 13 14 13 12 11 10 9 8 7 7 7 7 8 8 9 11 nan
nan 10 10 12 14 16 17 16 16 16 17 17 16 16 16 15 14 13 12 11 11 10 10 11 11 12 12 11 11 10 10 9 9 9 8 9 9 9 9 9 9 8 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 8 8 7 6 5 5 4 5 7 9 13 14 14 13 11 9 10 10 10 9 9 9 9 9 8 8 9 10 12 12 11 9 8 7 7 9 11 12 12 13 13 12 10 9 6 3 2 5 8 9 10 10 11 13 15 16 15 14 12 10 9 8 8 7 7 7 8 8 9 12 nan
nan 11 9 10 12 13 14 14 14 14 15 15 15 15 15 15 14 12 11 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 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 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 7 6 6 7 8 9 10 10 10 10 10 11 11 10 10 10 9 8 8 8 8 8 8 7 6 6 5 5 5 6 7 10 12 13 12 10 9 9 9 9 8 8 8 9 9 9 8 8 9 11 12 11 10 8 6 5 8 10 12 14 16 15 13 11 9 6 4 4 6 8 9 9 10 11 14 16 16 16 14 12 11 10 9 9 8 8 8 8 8 9 12 nan
nan 12 11 11 12 12 12 12 12 13 13 13 13 14 14 14 13 12 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 11 11 10 10 10 9 9 8 7 6 7 8 9 9 10 10 9 10 10 10 11 10 10 10 9 8 8 7 7 8 8 7 6 6 6 6 6 6 6 8 10 11 11 10 9 9 8 8 7 7 8 9 10 10 9 8 8 10 11 12 11 9 6 5 6 7 9 13 15 14 13 11 9 6 5 5 7 8 8 9 9 11 14 15 16 16 14 12 11 11 10 10 9 8 7 7 8 10 12 nan
nan 13 12 13 14 13 13 12 12 12 12 13 13 14 13 12 12 11 10 9 9 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 10 11 11 12 11 10 10 9 9 8 8 7 7 8 8 8 9 9 9 8 8 9 9 10 10 10 9 8 8 7 7 7 8 8 7 6 6 6 6 6 6 6 7 8 10 10 10 9 9 9 8 7 7 8 9 10 11 10 9 9 10 10 11 10 9 8 7 6 5 6 10 13 13 13 12 10 8 8 8 8 8 8 8 8 10 12 13 14 14 13 13 13 12 11 10 8 7 7 7 9 11 12 nan
nan 12 12 14 15 15 15 13 12 11 11 12 13 12 11 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 9 9 9 9 10 11 11 11 11 10 9 8 8 8 8 8 8 9 9 8 8 8 7 6 7 7 8 9 9 9 8 8 8 8 8 7 8 7 7 6 5 5 5 6 6 6 7 8 9 9 10 10 10 9 9 8 7 8 8 10 11 10 10 9 9 9 9 9 9 9 9 8 6 6 8 9 11 12 13 13 12 11 10 9 8 8 7 8 8 8 9 10 12 13 14 14 12 10 9 8 7 7 9 11 12 12 nan
nan 12 13 15 16 16 16 14 13 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 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 10 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 6 6 6 6 7 7 8 9 10 10 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 9 13 13 13 12 11 10 9 8 8 7 7 7 7 9 11 13 13 13 11 9 8 7 7 9 10 10 10 9 nan
nan 12 13 15 15 15 14 13 13 12 12 11 10 9 9 9 10 10 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 10 11 10 9 8 7 6 5 5 6 7 8 8 8 9 9 9 8 7 7 7 8 8 7 6 6 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 7 7 7 6 6 6 6 7 8 8 8 9 10 11 10 9 7 5 4 6 10 12 13 12 11 10 9 9 8 8 7 7 8 9 11 12 12 11 9 8 7 6 7 7 5 4 3 4 nan
nan 13 13 14 14 13 12 12 11 12 12 12 11 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 9 10 10 10 9 9 9 10 11 11 10 10 9 7 6 5 5 6 7 9 9 10 10 11 11 10 9 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 8 9 9 8 7 6 5 5 4 4 5 6 6 7 7 8 8 9 10 10 10 9 7 4 2 4 8 10 12 12 11 10 9 9 8 8 8 8 8 9 10 11 11 10 9 7 5 4 4 3 0 -1 1 4 nan
nan 14 14 13 13 12 12 11 10 11 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 8 8 9 10 10 8 7 7 9 10 10 10 10 10 9 8 7 6 6 7 9 10 10 10 10 11 11 11 10 8 7 6 7 7 7 7 7 8 8 8 8 8 7 6 6 7 9 8 7 5 4 4 4 3 3 5 6 7 7 8 8 8 10 10 10 10 9 7 3 2 4 7 9 11 11 10 9 9 8 8 8 8 9 9 10 12 13 13 12 9 6 4 3 3 3 3 4 7 9 nan
nan 14 13 13 13 13 12 11 10 10 11 11 12 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 8 8 9 10 11 10 7 7 7 9 9 9 9 9 10 10 10 8 7 6 7 9 10 10 9 10 10 11 12 11 9 6 5 6 7 7 7 7 8 8 8 8 7 7 6 6 7 8 8 6 5 4 4 3 4 4 6 7 8 8 9 9 9 10 11 11 10 8 6 3 2 4 7 9 9 9 8 8 8 8 8 9 10 10 11 12 14 15 16 13 9 6 5 6 6 8 9 12 14 15 nan
nan 12 11 11 12 13 13 12 10 9 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 12 11 9 7 7 8 9 9 9 9 10 11 11 10 9 7 7 7 8 9 9 9 9 10 11 13 13 11 8 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 5 4 4 4 5 5 6 7 8 8 9 10 10 10 11 11 10 9 8 6 3 2 4 7 8 7 7 7 7 8 9 10 11 11 12 13 15 17 18 16 12 9 8 8 9 10 11 13 15 16 17 nan
nan 9 9 9 10 12 13 12 11 10 9 9 9 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 10 11 12 12 11 10 9 8 8 9 9 9 9 9 10 11 11 10 9 8 7 7 8 9 9 9 9 9 10 12 13 12 10 8 7 7 7 8 9 9 8 8 8 8 8 8 7 8 7 6 5 4 6 8 9 9 8 9 9 10 11 11 12 12 12 11 10 10 9 7 3 3 4 5 6 6 7 7 8 9 10 11 12 13 14 15 17 19 19 14 10 9 9 11 12 13 14 15 17 18 20 nan
nan 7 7 8 9 11 12 12 11 10 9 9 9 10 10 11 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 11 9 8 8 8 9 10 9 9 8 8 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 9 11 11 10 10 10 11 11 12 12 12 11 11 10 11 11 9 7 3 3 3 5 6 7 8 9 10 11 11 12 13 13 14 16 18 18 15 11 9 9 10 12 13 14 15 17 20 22 23 nan
nan 8 8 8 8 9 10 11 11 10 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 10 11 12 11 9 8 7 8 9 9 9 9 8 7 7 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 11 12 11 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 12 11 11 9 8 9 9 7 6 3 1 2 3 5 7 8 9 10 11 12 12 13 13 14 15 15 16 13 10 8 8 10 11 13 14 15 17 19 21 23 22 nan
nan 9 9 8 8 9 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 8 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 9 9 10 11 11 11 11 10 8 7 6 4 2 1 0 1 3 5 7 8 9 10 11 12 13 13 14 15 15 15 14 13 10 8 8 9 11 12 13 15 16 18 21 22 22 18 nan
nan 10 9 9 8 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 9 9 10 10 10 11 11 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 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 10 9 9 9 10 10 10 9 8 8 8 8 9 9 8 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 8 8 8 9 10 10 11 11 11 10 8 6 5 3 2 1 1 3 5 6 8 9 10 10 11 12 12 14 15 17 18 17 16 15 13 11 10 11 11 12 12 14 15 17 20 21 21 19 16 nan
nan 10 10 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 6 7 9 9 9 8 8 9 10 10 10 10 9 8 8 9 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 10 9 9 9 9 9 10 11 11 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 10 10 8 6 4 3 3 3 3 4 6 7 8 9 9 10 10 11 11 12 14 16 18 20 20 18 17 16 14 13 12 12 12 12 13 14 16 19 20 20 18 15 12 nan
nan 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 7 6 6 7 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 9 9 10 10 10 9 9 9 8 9 11 13 14 14 14 14 13 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 7 5 4 3 3 4 5 6 8 9 10 10 10 11 11 12 13 14 15 17 19 20 20 18 16 15 14 13 13 12 12 13 13 14 16 18 19 18 16 13 11 10 nan
nan 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 9 9 10 10 10 10 10 9 8 9 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 11 13 15 16 16 15 15 13 12 11 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 9 10 11 13 13 13 12 12 13 14 15 15 16 17 17 16 14 12 11 10 10 10 11 13 14 14 15 16 18 19 17 14 12 10 10 10 nan
nan 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 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 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 14 15 16 15 14 13 11 11 11 11 11 11 10 10 10 10 11 12 12 13 12 11 11 12 12 12 13 13 14 15 15 14 13 12 12 12 12 12 12 12 12 11 9 9 9 10 11 11 14 16 17 17 17 17 18 18 17 14 11 10 10 10 11 nan
nan 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 11 12 13 12 12 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 14 13 13 13 13 14 14 13 13 12 12 12 13 14 15 16 16 16 16 15 15 15 15 16 16 16 14 13 11 9 8 8 9 9 8 7 8 8 9 9 11 13 15 17 17 17 19 20 21 20 19 18 17 15 13 11 10 10 11 11 11 nan
nan 10 11 11 11 11 11 10 10 9 9 9 9 9 8 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 14 14 14 13 12 11 11 13 14 15 15 15 14 14 14 14 14 14 14 15 15 13 11 9 8 8 9 10 10 10 9 9 10 11 13 16 19 21 22 21 18 18 18 18 18 17 16 14 13 11 10 9 10 11 11 11 10 nan
nan 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 11 11 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 9 8 8 7 8 9 10 10 10 9 9 9 10 9 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 11 10 8 7 8 9 10 11 10 10 10 10 10 11 10 10 11 11 11 10 10 11 13 15 16 17 16 15 14 13 13 14 17 19 20 20 19 16 14 13 12 12 12 11 11 10 10 9 9 10 10 11 11 10 7 nan
nan 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 10 10 10 10 11 12 13 13 12 12 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 9 11 10 9 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 10 10 10 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 11 11 11 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 11 10 10 8 7 6 6 6 7 7 8 8 9 9 8 8 9 9 10 10 10 11 13 15 17 18 19 18 17 15 13 12 12 13 14 15 15 14 12 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 9 7 nan
nan 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 9 9 9 10 9 8 8 10 12 13 12 11 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 6 6 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 7 10 11 12 11 11 12 13 14 14 13 12 11 10 8 8 9 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 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 12 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 10 10 9 8 8 10 13 14 13 12 11 10 10 9 8 8 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 10 10 11 11 11 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 7 6 4 3 1 1 1 2 3 4 5 6 6 7 8 9 10 9 6 3 2 3 6 10 12 11 10 10 10 10 10 10 9 8 7 6 6 7 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 11 11 11 11 10 10 10 10 10 11 11 10 10 11 11 12 11 11 11 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 8 9 10 11 12 12 12 12 11 10 9 8 7 7 7 9 12 14 15 15 13 11 10 10 11 11 11 13 13 12 10 9 9 8 7 7 8 10 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 10 10 10 10 10 11 10 9 9 9 9 8 7 5 2 -0 -1 -1 -0 1 2 3 3 3 5 6 6 5 3 2 3 4 8 10 10 10 8 8 8 9 10 10 9 8 7 5 5 5 5 6 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 9 9 8 7 7 8 11 14 17 18 16 13 11 10 10 10 11 13 15 15 14 12 10 7 5 4 4 5 8 10 11 12 12 12 12 11 11 11 11 11 11 10 9 9 10 10 9 9 10 10 10 10 11 11 10 9 8 6 4 3 2 2 2 1 1 1 2 2 2 2 1 2 4 6 10 12 12 11 9 8 9 10 11 12 11 11 9 7 5 4 4 5 7 8 9 10 11 11 11 11 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 nan
nan 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 9 8 8 7 8 9 12 15 18 18 16 13 11 9 8 9 11 13 16 18 16 12 8 5 4 3 3 5 7 9 10 10 9 9 10 10 11 11 12 12 10 8 7 7 7 7 8 8 9 10 10 11 10 10 9 9 9 8 8 7 6 6 5 5 5 4 4 3 3 3 5 8 12 16 17 15 13 10 10 10 12 13 13 13 12 10 7 6 6 6 8 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 10 nan
nan 11 11 11 10 10 10 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 8 8 8 11 15 17 18 17 14 11 9 8 9 11 15 17 16 13 10 7 6 5 5 6 7 8 8 8 7 7 6 7 9 11 13 13 12 10 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 9 12 15 17 16 14 13 11 11 12 12 13 13 12 11 9 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 9 9 10 10 11 11 11 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
1186 1085 991 989 999 1040 1064 1089 1105 1091 1055 1006 950 892 810 751 740 740 709 643 621 597 566 544 540 535 554 538 555 554 544 541 515 481 453 425 397 375 356 333 291 261 246 233 234 248 258 251 235 220 203 199 203 207 216 218 215 209 208 207 203 202 197 190 176 160 145 130 115 99 82 74 67 58 50 44 40 41 41 39 34 27 19 11 5 2 2 2 1 1 1 0 0 0 0 0 0 1 2 2 3 3 4 5 6 5 3 5 6 8 6 3 2 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 0 0 0 0 0 0 0
1059 973 937 984 1029 1082 1112 1122 1113 1086 1045 1005 943 886 820 778 756 720 687 629 599 578 549 522 508 495 516 522 554 562 556 550 521 475 459 448 427 402 377 344 284 251 239 236 246 267 287 285 262 252 238 233 233 232 230 235 234 222 226 232 232 232 225 213 198 184 168 149 130 109 89 82 73 65 58 51 46 49 50 48 42 33 24 17 7 2 1 1 1 0 0 1 0 0 1 0 0 1 2 0 1 2 3 4 4 3 3 6 4 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
927 900 930 969 994 1023 1049 1072 1076 1038 952 863 780 723 688 676 670 653 637 611 587 560 529 503 488 481 495 509 532 544 545 533 493 439 439 455 444 414 380 337 270 244 245 247 252 265 287 300 264 256 250 251 255 258 254 251 249 241 251 261 258 250 233 213 198 191 183 170 153 134 115 102 86 73 64 57 53 54 55 53 47 37 29 20 10 2 0 0 0 0 0 2 2 3 3 3 2 2 3 1 1 1 2 2 2 2 1 4 3 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
865 897 944 976 1003 1025 1032 1032 1020 987 932 875 805 724 663 632 624 624 618 606 594 561 527 510 508 503 499 495 498 501 499 495 481 422 429 455 444 409 365 318 272 265 279 285 272 258 259 273 235 235 244 255 266 271 263 257 262 267 277 286 282 265 239 217 199 190 184 179 173 162 147 129 109 90 76 69 65 62 63 59 52 44 34 24 14 3 2 2 2 2 2 3 3 3 4 4 3 4 6 3 2 2 1 1 1 1 1 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
862 897 930 945 952 958 959 954 942 927 885 776 676 604 580 585 597 613 628 632 622 586 552 529 517 511 487 451 430 414 396 390 407 396 422 446 433 395 347 306 285 289 307 319 306 281 263 252 230 236 249 260 271 279 275 274 278 285 294 301 298 281 252 230 209 186 174 173 174 172 164 149 129 106 89 85 79 75 75 68 58 49 41 29 19 13 14 13 9 7 5 5 4 3 3 3 3 3 4 3 1 0 0 1 2 3 2 2 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
883 887 893 897 904 912 892 848 779 732 725 727 699 640 587 563 564 572 558 521 485 459 475 488 476 452 427 404 395 392 376 368 390 405 415 419 397 359 325 305 295 293 316 337 329 303 279 257 248 256 264 270 277 285 291 293 295 301 305 303 293 273 248 235 217 192 173 165 160 159 158 152 143 126 110 103 98 90 88 83 70 54 45 36 26 22 22 22 20 15 9 6 5 6 6 4 3 2 3 5 2 1 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
917 896 878 866 860 843 799 709 590 514 517 560 552 500 485 497 457 361 271 209 184 184 219 260 293 320 342 356 364 349 333 329 348 390 396 392 373 340 312 305 301 309 336 357 346 321 303 289 271 279 291 301 305 304 309 315 318 318 312 301 282 258 234 229 216 197 177 158 145 145 154 150 148 139 125 117 114 105 98 95 79 57 49 41 35 33 33 31 27 20 16 8 7 6 6 5 4 2 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
911 884 854 832 827 828 749 597 424 296 242 255 304 358 373 321 215 105 40 21 25 36 47 59 89 141 196 259 312 321 320 317 320 349 368 375 378 350 311 288 282 294 335 367 371 355 336 323 308 313 320 333 342 338 331 329 329 325 310 294 280 259 230 216 206 198 187 168 145 139 154 154 150 144 137 132 129 123 107 106 89 59 51 47 41 37 34 30 27 26 25 22 13 8 7 6 3 1 0 0 0 0 0 1 2 4 5 4 3 2 2 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 0 0 0 0 0 0 0 0 0
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