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 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 13 12 11 9 7 7 7 9 10 11 11 11 11 11 12 12 12 10 9 7 6 6 8 10 12 13 12 11 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 7 8 9 10 10 11 11 10 9 9 9 10 10 9 9 9 8 8 9 11 12 11 9 8 7 6 6 6 6 7 9 9 9 7 6 6 6 5 5 6 6 6 6 7 8 9 10 11 11 11 10 8 7 6 7 8 9 8 6 6 6 6 7 8 10 12 12 11 10 9 8 8 8 8 9 9 10 11 11 11 11 11 10 10 9 8 7 7 9 10 11 10 9 9 8 8 8 8 9 8 8 7 9 11 13 15 16 nan
nan 6 5 6 6 7 7 8 8 8 9 11 12 12 12 12 12 12 11 9 8 8 9 10 11 12 12 11 11 11 11 11 10 9 7 7 7 7 8 10 11 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 9 10 11 11 10 9 9 9 9 9 9 10 10 9 9 9 11 12 12 11 10 9 8 7 7 7 7 8 9 8 7 6 5 5 5 5 5 5 5 5 6 6 7 8 9 11 12 11 9 7 7 7 8 9 8 7 7 6 6 7 8 10 11 11 11 10 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 7 7 8 9 10 9 9 9 10 12 14 15 15 nan
nan 4 4 5 6 7 8 8 8 9 10 11 12 12 12 11 11 11 11 11 10 10 10 11 12 12 12 12 11 11 10 10 8 6 5 6 7 7 8 10 12 12 11 10 10 11 11 10 10 10 10 11 12 12 13 12 11 11 10 10 9 8 8 7 7 6 7 7 7 7 7 7 8 8 8 6 5 5 6 5 5 6 7 8 9 9 9 8 8 8 7 7 8 8 9 9 9 9 10 11 11 11 11 10 9 8 7 6 6 7 8 9 8 6 5 4 4 5 5 5 5 5 5 5 6 6 7 9 10 10 9 8 7 7 8 8 8 7 7 6 6 6 8 10 11 11 10 9 9 9 9 9 10 11 11 11 10 8 8 8 9 9 10 10 11 12 12 11 10 9 8 8 7 8 8 10 11 11 11 11 11 12 14 15 14 12 nan
nan 4 4 4 6 7 8 8 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 8 5 4 5 7 8 9 11 13 14 13 11 11 12 12 11 10 10 11 11 11 11 12 12 12 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 9 8 7 6 6 7 6 5 5 5 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 10 10 10 10 9 7 6 5 5 5 7 8 8 7 5 4 4 4 4 5 5 5 5 5 6 6 7 8 9 10 9 9 8 8 8 8 8 7 6 6 6 6 7 9 10 10 9 9 8 8 9 9 10 10 11 10 9 8 8 9 10 11 11 10 10 10 10 9 8 7 7 7 8 9 10 11 12 11 11 12 13 14 15 14 13 10 nan
nan 3 4 4 5 7 8 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 6 7 8 9 10 11 14 16 15 13 12 12 12 12 12 12 12 11 10 9 10 11 11 11 11 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 5 7 8 7 6 5 4 4 4 4 4 5 5 6 6 6 7 8 8 9 9 9 9 8 8 8 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 12 10 8 6 6 5 5 6 6 7 8 9 10 11 11 11 11 11 12 13 14 14 12 10 7 nan
nan 4 4 5 6 7 9 10 11 11 11 10 9 9 9 10 10 11 11 11 10 10 10 11 11 11 10 10 9 9 9 10 10 11 9 9 9 9 10 11 13 15 16 14 12 12 12 12 13 13 13 11 10 9 9 10 10 10 9 9 9 8 9 9 8 8 7 7 7 7 7 6 6 6 7 7 6 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 6 6 7 7 7 6 6 5 5 4 4 6 7 7 7 6 5 5 4 4 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 10 10 10 10 10 9 9 9 9 10 11 12 12 10 7 4 3 3 4 5 6 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 8 5 nan
nan 4 4 5 6 7 9 10 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 10 9 9 9 10 10 11 13 13 13 12 12 13 14 15 13 10 9 9 9 9 9 9 8 8 7 6 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 5 5 6 6 6 6 6 5 5 5 6 7 7 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 7 7 6 6 6 7 9 10 10 10 11 11 10 10 10 10 9 10 10 11 10 9 7 5 3 2 4 5 7 9 10 9 9 9 9 9 10 10 10 9 8 7 7 8 7 7 5 nan
nan 5 5 5 5 7 8 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 9 10 11 12 13 14 13 10 7 6 6 7 7 7 6 6 5 4 3 3 2 2 3 3 4 4 4 4 4 5 5 6 6 6 5 5 4 4 5 5 6 6 6 7 8 8 8 7 7 7 7 7 8 8 7 6 5 5 5 5 5 6 6 7 7 6 6 5 5 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 9 8 7 7 7 7 6 6 7 9 10 11 11 12 12 12 11 11 10 10 10 10 9 8 7 5 4 4 5 6 8 9 10 10 9 9 9 9 9 9 8 7 5 4 4 6 7 7 6 5 nan
nan 5 5 5 5 6 7 7 8 8 8 9 9 9 10 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 8 8 8 9 9 8 7 6 6 7 9 10 11 10 8 6 4 4 4 5 5 5 4 4 3 2 2 2 1 1 1 2 3 4 5 5 5 5 6 6 6 6 6 6 6 5 6 6 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 6 6 5 5 6 6 6 7 7 7 6 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 12 12 11 10 8 8 8 8 7 6 5 6 8 10 11 12 12 13 12 12 12 12 11 10 9 8 7 5 5 5 7 8 9 10 9 9 8 8 8 8 8 8 7 6 4 2 2 4 6 6 6 5 5 nan
nan 6 6 6 6 6 6 6 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 10 9 9 8 7 7 8 8 8 8 8 7 6 6 7 7 7 6 5 4 3 3 4 5 5 5 5 4 4 3 2 2 3 3 2 3 3 4 5 6 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 9 10 12 12 11 9 9 9 9 8 7 6 6 7 9 10 11 12 13 13 13 13 13 13 11 9 8 6 6 6 8 10 11 10 9 8 7 7 7 7 7 6 7 6 4 2 2 3 5 6 5 3 3 3 nan
nan 7 6 6 6 6 6 6 7 8 8 9 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 6 5 3 3 4 5 6 7 7 7 6 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 11 11 11 11 11 10 9 8 6 6 7 8 9 9 10 12 12 13 13 14 13 12 10 9 8 8 9 12 13 13 11 8 7 6 6 7 7 7 7 6 5 4 2 3 5 7 6 4 3 3 3 nan
nan 7 6 6 6 6 6 7 7 7 8 8 9 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 6 7 8 9 9 8 7 6 6 7 7 7 8 8 8 9 11 12 12 11 10 9 9 9 8 8 7 7 7 8 9 9 10 10 9 8 7 7 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 11 11 11 11 11 11 10 10 9 9 9 8 8 9 9 10 10 10 10 9 8 8 8 9 11 12 12 11 10 9 8 8 7 8 8 8 7 8 9 10 11 11 12 12 11 10 9 9 10 11 13 14 13 11 9 8 7 7 7 7 7 8 7 6 5 4 6 8 8 8 7 6 6 6 nan
nan 7 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 7 6 6 6 8 9 9 9 10 11 10 10 9 9 9 10 11 13 15 15 14 13 12 12 12 10 9 8 8 9 10 11 11 10 8 7 6 7 7 8 8 8 7 6 5 4 5 5 6 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 9 8 8 9 9 10 10 10 10 10 9 8 8 9 11 13 13 11 10 10 9 8 8 8 8 7 6 6 6 7 8 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 nan
nan 6 6 6 6 6 7 7 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 8 8 7 6 7 8 9 10 10 11 12 12 11 10 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 10 12 13 12 10 8 6 6 6 7 7 8 8 9 8 7 6 5 4 4 6 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 9 9 8 9 10 12 12 11 10 10 9 9 8 8 8 7 5 5 5 6 7 8 8 8 8 7 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 9 10 11 12 12 12 11 12 12 12 nan
nan 6 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 6 6 7 8 10 10 11 10 10 10 11 11 10 10 9 9 8 8 7 6 6 6 7 7 7 7 8 10 11 12 10 9 7 6 5 6 7 7 8 8 9 9 9 8 7 6 5 4 5 6 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 10 10 11 10 9 9 8 8 9 9 8 8 9 9 8 7 7 9 11 11 10 9 9 8 8 8 8 7 6 5 5 6 7 7 8 8 9 9 9 9 8 8 6 5 5 6 7 7 8 8 9 9 8 8 8 8 8 9 11 12 13 12 11 11 11 11 12 nan
nan 7 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 6 5 6 7 9 10 11 11 11 11 10 11 11 11 10 9 8 8 7 5 4 4 6 7 7 7 8 9 10 10 8 6 5 4 5 6 6 7 7 8 8 8 8 8 9 9 8 7 6 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 9 10 11 10 10 9 8 8 7 7 7 7 7 7 7 6 6 6 8 9 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 9 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 10 11 12 12 11 10 10 10 10 10 nan
nan 7 6 7 8 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 12 12 11 11 10 10 8 6 5 6 7 8 8 8 8 8 8 7 6 5 5 5 6 6 6 6 7 7 7 7 7 7 8 9 9 8 7 6 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 9 9 8 8 7 6 6 5 5 5 6 7 6 6 5 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 10 9 8 7 7 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 nan
nan 7 6 7 8 9 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 10 11 11 12 12 12 11 9 8 7 8 9 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 7 7 6 5 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 5 5 5 4 4 5 6 7 7 6 6 5 6 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 10 10 10 11 12 12 11 10 9 7 7 7 7 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 nan
nan 7 6 7 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 7 7 8 9 10 11 12 12 12 12 11 10 9 10 10 11 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 4 4 4 5 5 5 4 4 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 9 8 8 8 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 6 7 8 8 7 6 7 9 9 9 8 8 8 9 9 9 9 9 9 8 9 10 10 10 10 9 9 10 10 11 11 11 10 9 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 nan
nan 7 6 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 8 8 8 8 9 9 9 8 7 7 8 8 8 7 7 8 8 8 9 9 10 11 11 12 12 12 11 11 10 11 11 12 12 13 13 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 5 5 6 8 9 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 7 5 4 4 5 7 8 9 9 9 8 8 7 7 nan
nan 7 8 9 10 10 10 10 9 8 7 7 7 7 6 6 6 7 7 8 8 8 9 8 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 7 7 7 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 6 6 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 6 6 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 8 6 6 7 7 8 8 8 8 7 7 7 6 6 nan
nan 8 9 10 10 10 10 9 8 8 8 9 8 7 6 6 6 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 9 9 8 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 10 10 11 11 10 8 7 6 6 6 7 6 6 nan
nan 9 10 10 10 10 9 8 8 8 9 9 8 7 5 5 6 7 8 8 8 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 7 7 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 7 7 7 8 8 7 7 6 nan
nan 9 10 10 10 10 8 7 7 8 8 8 6 5 3 4 6 7 8 8 8 8 7 6 5 6 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 8 7 7 nan
nan 9 10 10 10 9 8 7 7 7 7 6 4 4 4 5 6 7 8 7 7 7 6 6 6 6 7 7 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 8 8 8 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 9 8 8 8 8 9 11 11 10 9 8 7 7 nan
nan 9 10 10 10 9 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 5 6 6 6 7 7 7 7 7 7 8 7 7 6 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 6 6 7 8 8 8 8 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 8 8 8 8 nan
nan 9 10 11 10 9 7 6 6 5 5 5 6 7 7 7 6 7 7 8 9 8 8 8 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 6 6 7 7 8 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 6 7 8 8 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 9 10 10 9 8 7 6 6 6 5 5 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 7 7 7 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 9 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 nan
nan 10 10 9 9 8 7 6 6 5 4 4 4 5 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 10 11 11 10 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 nan
nan 10 10 9 8 8 7 6 5 5 4 3 4 5 6 6 7 7 7 7 6 6 6 6 6 7 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 6 7 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 9 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 nan
nan 10 10 9 9 8 7 6 6 5 4 4 4 5 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 6 6 6 6 7 7 8 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 10 10 9 8 7 6 6 5 5 4 5 6 7 7 7 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 9 10 10 10 9 9 9 8 9 9 9 9 8 8 7 6 6 6 6 5 5 5 6 6 6 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 11 10 9 8 7 6 6 6 5 5 4 5 6 7 7 7 6 6 6 6 7 7 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 8 8 7 6 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 4 5 5 6 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 7 6 6 7 8 9 9 9 9 9 10 10 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 9 10 nan
nan 10 9 8 7 6 6 6 6 6 5 4 4 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 6 5 5 4 4 5 5 5 5 5 4 4 5 5 6 6 7 6 6 6 5 5 5 5 5 4 4 4 5 5 6 6 7 7 8 8 8 7 7 6 5 4 5 5 6 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 nan
nan 10 8 7 6 6 6 6 6 6 5 4 4 7 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 7 7 6 5 5 4 4 5 5 5 6 6 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 6 5 5 5 5 6 6 7 8 9 9 8 6 5 6 7 8 9 8 8 8 9 9 9 9 9 9 8 7 6 5 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 nan
nan 9 8 7 6 6 6 6 6 6 5 4 5 7 8 8 7 7 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 6 5 5 5 6 6 7 9 10 9 7 5 5 7 9 9 9 8 9 9 10 11 11 11 11 9 7 6 5 6 7 7 7 7 7 8 8 9 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 nan
nan 9 8 7 6 6 5 5 5 5 5 5 5 7 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 10 10 8 6 6 7 8 9 9 8 9 9 11 12 13 13 13 11 9 7 5 5 7 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 nan
nan 8 7 7 6 5 5 5 5 6 6 6 6 7 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 9 10 9 8 7 7 8 9 9 8 9 9 10 11 12 12 11 10 9 7 6 5 5 6 7 7 6 6 6 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 nan
nan 7 7 6 5 5 4 4 5 6 6 7 7 8 8 8 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 9 10 10 9 8 9 10 10 10 9 8 7 6 6 5 4 4 5 6 6 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 8 nan
nan 7 6 6 5 5 4 4 5 6 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 7 7 7 8 9 9 9 9 9 8 7 7 6 6 6 6 6 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 9 8 7 6 5 4 4 4 4 5 6 6 6 5 5 5 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 10 10 11 11 10 10 9 8 8 8 nan
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nan 8 8 8 8 8 8 9 9 9 10 11 12 12 13 13 13 12 11 10 9 8 7 7 6 7 7 7 7 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 14 15 16 16 17 18 18 18 17 17 16 16 15 14 12 12 11 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 11 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 13 13 12 11 11 10 9 8 7 7 6 6 7 9 12 15 16 15 12 9 7 7 9 10 11 11 12 12 13 13 12 11 11 11 10 9 8 8 9 10 11 11 11 11 11 10 10 10 10 11 11 10 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 nan
nan 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 14 15 16 17 17 18 18 18 17 17 16 15 14 12 11 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 10 10 9 8 7 5 5 7 11 15 18 17 13 9 7 7 8 10 12 13 13 13 13 12 12 11 11 11 11 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 10 9 9 9 9 10 10 11 12 12 12 13 13 13 12 11 11 10 10 9 9 nan
nan 8 8 8 8 8 8 7 7 8 9 10 11 12 12 12 11 10 10 9 8 7 7 7 7 7 7 7 7 7 8 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 15 16 16 17 17 17 17 16 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 12 13 13 12 12 11 10 9 9 8 6 6 8 12 16 17 15 12 10 9 10 11 12 14 15 15 14 12 12 12 13 14 14 12 12 12 13 13 14 14 12 11 11 10 9 8 8 8 9 9 9 9 9 9 10 11 12 12 13 13 14 14 13 12 11 10 10 9 9 9 nan
nan 9 9 9 9 8 8 7 8 8 9 10 10 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 16 16 16 16 16 16 15 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 8 8 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 13 12 12 11 11 10 9 8 7 8 9 12 16 16 14 13 12 12 11 12 12 13 14 14 13 12 13 15 16 15 14 13 13 14 15 16 17 16 14 12 10 9 8 7 8 9 9 10 9 10 10 11 11 12 12 13 13 13 13 13 12 11 10 10 10 9 9 9 nan
nan 11 11 11 10 9 8 8 8 9 9 9 10 10 10 11 10 10 9 9 8 8 8 8 7 7 7 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 13 14 15 15 16 16 16 15 15 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 9 10 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 11 12 12 12 12 12 11 10 9 9 8 9 11 13 15 14 14 13 13 12 12 12 12 12 13 12 12 13 14 16 15 14 13 12 13 14 15 17 19 19 17 15 12 10 9 9 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 11 10 10 10 10 9 9 9 10 nan
nan 11 11 11 11 10 9 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 15 16 16 15 14 14 13 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 7 6 6 7 9 11 11 10 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 10 11 12 12 12 11 11 10 9 9 9 10 11 12 12 12 12 12 12 11 11 12 12 12 13 12 12 12 13 14 13 12 12 12 12 13 15 17 19 20 19 18 16 14 13 12 12 11 10 10 10 10 10 10 10 10 11 12 13 13 12 10 9 9 9 9 8 8 9 10 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 11 11 11 11 10 10 10 10 10 11 12 13 14 15 15 15 15 15 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 6 6 7 8 8 8 7 6 7 9 10 10 10 8 7 7 8 8 9 8 8 8 8 8 9 10 10 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 12 14 14 13 12 12 12 12 11 11 11 12 13 15 16 18 18 18 18 17 16 15 14 13 13 11 10 10 10 10 11 11 11 11 11 12 12 12 10 9 9 8 8 8 7 8 9 10 nan
nan 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 11 12 14 15 15 15 15 15 14 13 12 12 11 11 11 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 9 10 10 10 11 11 11 11 11 10 9 9 10 12 13 13 12 11 11 11 13 14 13 13 12 11 11 11 11 11 12 13 15 15 16 16 15 14 14 13 14 14 13 13 12 11 11 10 11 11 12 13 13 13 12 11 10 10 9 9 9 9 8 8 7 7 8 11 nan
nan 7 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 12 11 11 11 10 10 10 10 11 11 13 14 15 16 16 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 7 7 8 10 10 11 12 12 12 12 11 10 9 9 12 15 16 16 14 12 12 12 12 12 11 11 11 11 11 11 11 12 13 13 14 14 14 13 12 11 11 11 11 11 12 12 11 11 11 11 11 12 13 14 14 14 12 10 9 9 10 10 9 9 9 8 7 7 9 12 nan
nan 7 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 9 9 10 10 11 11 11 12 12 12 11 11 10 10 10 10 11 12 13 15 16 16 16 15 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 6 6 7 8 8 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 9 9 10 11 11 9 8 9 11 12 12 12 12 13 12 11 10 8 9 13 16 18 17 14 13 13 12 11 10 10 10 10 10 10 11 12 12 12 12 13 13 12 12 11 11 10 9 9 10 11 11 11 10 10 11 12 13 14 14 14 13 12 10 10 12 13 12 11 8 7 7 7 10 13 16 nan
nan 8 7 7 7 7 6 7 7 7 8 9 10 9 9 9 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 11 12 12 11 11 11 10 10 10 11 12 14 15 16 17 17 16 15 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 6 5 5 6 7 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 11 11 10 9 9 10 12 13 12 10 10 12 12 12 12 12 12 12 11 10 8 10 13 16 16 13 11 11 10 9 8 8 9 10 10 10 11 11 12 12 12 13 12 12 11 10 10 10 10 9 9 9 10 10 10 10 10 11 13 13 14 14 14 13 12 12 13 14 15 14 11 8 6 7 10 15 18 20 nan
nan 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 12 12 11 11 11 11 10 10 10 11 12 14 16 17 17 17 16 15 14 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 7 7 7 6 6 5 4 5 5 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 10 8 8 9 12 15 13 11 10 11 11 11 11 11 11 11 11 10 9 11 12 13 11 8 7 6 6 6 8 11 12 11 10 11 11 12 12 13 13 13 12 11 10 10 10 10 9 8 8 8 9 9 9 10 11 12 13 13 13 14 14 15 15 15 15 14 13 11 9 8 9 12 16 20 21 21 nan
nan 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 10 11 12 14 16 17 17 18 17 16 14 13 12 11 10 10 9 9 9 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 8 8 7 7 7 7 6 6 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 11 12 13 13 13 12 10 8 7 7 8 11 13 13 12 11 10 10 11 11 10 9 9 10 10 10 11 11 10 8 6 5 4 4 7 12 15 15 13 13 13 14 14 13 13 13 12 11 10 11 11 12 11 8 7 6 6 7 8 10 11 12 12 13 13 13 13 15 17 19 19 16 12 9 8 9 11 15 19 22 23 22 20 nan
nan 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 12 14 15 17 17 17 17 16 14 13 12 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 12 13 13 12 11 9 7 7 6 7 10 11 11 11 11 11 11 11 10 8 6 7 9 10 11 11 11 11 9 7 6 5 6 12 17 18 17 15 15 16 16 15 14 13 12 11 10 10 10 10 10 8 5 4 4 6 8 10 11 12 12 12 12 12 13 14 16 17 18 17 13 10 8 8 11 15 20 24 26 26 24 20 nan
nan 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 12 12 11 11 10 10 10 10 11 12 14 15 16 17 17 16 15 14 13 12 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 6 7 9 11 12 11 10 9 9 9 10 9 8 7 7 8 9 10 11 13 13 12 11 10 8 8 7 8 9 11 11 10 11 11 10 9 7 5 5 7 9 11 12 12 12 11 10 9 7 7 11 16 18 17 16 15 16 16 15 14 13 12 11 10 8 7 7 6 4 2 1 1 4 7 10 12 13 13 13 13 13 13 15 16 15 13 11 8 6 6 8 11 15 19 23 26 27 26 23 19 nan
nan 7 7 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 10 11 12 13 15 16 16 16 16 15 14 13 12 11 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 8 10 11 12 12 10 9 9 10 10 10 8 7 7 8 9 10 11 12 12 11 11 10 9 8 8 8 10 11 11 10 11 10 9 7 5 5 7 9 10 11 12 12 12 11 10 9 9 10 13 15 15 15 16 16 15 13 12 11 10 10 8 6 4 3 3 2 2 1 2 5 8 11 13 13 14 13 14 15 16 19 20 20 17 12 7 5 4 6 11 16 19 23 25 26 25 23 19 16 nan
nan 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 11 13 14 15 16 16 15 14 13 13 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 8 7 7 8 10 11 12 11 10 10 9 10 10 9 8 8 8 9 9 10 11 11 10 10 10 9 9 8 8 9 10 10 10 10 10 10 9 7 5 7 10 11 12 12 13 13 12 11 9 10 10 12 13 13 14 15 17 17 15 13 11 9 8 6 5 3 1 1 2 4 6 8 10 12 14 14 14 15 15 16 17 19 22 24 26 25 21 16 13 11 12 14 17 21 23 25 26 25 22 20 17 15 nan
nan 9 10 10 11 11 11 10 10 10 9 9 10 10 10 10 11 11 12 12 12 12 13 13 12 12 11 10 10 9 9 9 10 10 11 12 14 15 15 15 15 14 13 12 11 11 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 9 9 9 8 8 9 10 10 11 10 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 7 7 9 11 13 14 14 15 14 12 10 10 11 12 14 13 13 13 15 18 18 15 13 9 7 5 4 2 2 2 4 7 11 14 16 16 16 15 15 16 18 19 20 21 22 23 25 26 25 23 21 18 17 17 19 22 24 25 26 24 22 19 17 15 14 nan
nan 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 12 12 13 13 13 12 12 11 10 10 10 10 11 12 12 13 14 15 15 15 14 13 12 11 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 8 8 8 8 7 7 7 7 7 7 8 9 10 11 10 10 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 10 11 12 14 15 17 16 13 11 10 12 13 14 14 13 12 13 15 16 16 14 11 8 5 5 5 6 7 9 13 16 19 20 20 18 16 17 19 21 22 22 22 22 21 19 19 19 19 18 17 17 17 18 20 22 24 25 24 21 18 16 14 14 13 nan
nan 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 12 11 11 11 11 11 12 13 13 14 15 15 15 14 13 12 11 10 10 10 9 8 8 7 7 7 7 7 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 9 10 11 12 11 10 10 9 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 13 14 14 13 11 11 13 16 17 17 15 14 13 14 16 17 18 17 13 9 9 10 12 14 16 19 21 23 23 22 19 17 17 18 19 20 20 20 19 17 15 13 13 13 13 13 12 13 15 18 19 21 22 21 19 17 15 13 12 12 12 nan
nan 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 13 13 12 12 12 12 12 13 13 14 14 14 15 15 14 13 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 11 11 10 12 16 19 19 18 15 15 16 18 20 22 22 20 16 14 14 15 18 20 21 22 22 22 20 18 16 14 13 13 13 14 15 15 13 12 10 10 11 13 15 15 15 15 17 18 18 18 18 17 15 14 13 13 12 12 12 nan
nan 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 9 9 10 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 12 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 10 10 10 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 14 17 18 17 16 14 15 17 19 20 21 20 18 16 15 16 16 18 19 19 19 18 16 14 13 12 12 11 11 12 13 14 14 14 13 14 15 16 18 19 19 18 18 17 16 16 15 15 14 13 13 13 13 13 13 13 nan
nan 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 9 9 10 10 10 10 11 12 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 12 13 14 14 14 13 12 13 15 16 16 15 13 12 12 13 13 14 14 14 14 15 15 14 13 13 12 13 14 15 17 18 19 19 19 19 20 21 21 20 18 17 16 15 14 14 13 13 12 12 12 12 13 13 13 13 14 nan
nan 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 12 13 13 13 13 14 14 14 14 14 14 14 14 14 13 12 11 11 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 10 10 10 9 10 11 12 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 12 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 13 13 13 14 14 14 15 16 17 18 19 20 21 21 22 21 20 18 16 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 nan
nan 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 9 10 10 11 12 12 13 13 13 13 14 14 14 15 15 14 14 14 13 12 12 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 10 11 11 10 11 11 11 10 9 9 11 13 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 11 12 12 11 11 11 10 10 10 10 11 11 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 6 6 7 9 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 13 13 13 13 14 14 15 15 15 16 16 17 18 18 18 17 15 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 nan
nan 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 8 9 10 10 11 11 12 12 11 10 10 11 12 14 14 14 13 12 11 11 11 10 10 10 10 9 10 11 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 5 3 1 0 2 4 7 8 9 10 11 11 12 11 11 10 10 9 9 9 8 6 6 6 8 10 11 12 13 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 15 15 14 13 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 10 9 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 14 14 14 14 14 14 13 13 12 11 11 11 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 10 11 11 10 9 8 8 9 10 10 11 12 11 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 11 12 13 13 12 12 11 10 10 10 11 12 12 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 6 3 -0 -2 -2 -0 3 6 7 8 8 8 9 9 9 9 8 7 7 8 7 6 4 2 2 5 9 13 14 13 12 12 12 12 12 12 12 12 12 11 12 12 13 13 14 14 14 15 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 11 12 13 13 13 13 13 13 14 14 14 14 14 13 13 12 11 11 11 11 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 10 10 11 11 10 9 8 7 8 9 10 10 10 10 10 11 12 12 12 12 13 13 12 12 11 10 10 10 10 9 10 12 13 13 11 10 10 10 9 8 7 7 9 11 11 11 11 11 11 10 11 11 11 11 11 10 10 9 9 8 7 4 1 -2 -4 -3 -0 4 8 10 11 11 10 9 9 8 7 4 3 3 5 5 5 3 -0 -1 3 9 15 18 16 12 10 11 11 12 12 12 12 12 11 11 11 12 12 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 9 8 8 8 8 9 10 9 10 10 10 11 12 12 12 12 13 14 13 11 9 8 6 6 6 8 9 10 10 9 8 8 9 8 7 6 4 4 6 7 8 8 8 9 9 10 11 11 11 11 10 9 7 6 4 2 -1 -3 -5 -3 1 6 10 11 12 12 13 13 13 12 10 8 5 5 5 7 7 5 2 -1 3 10 18 24 22 16 12 10 10 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 12 13 13 13 13 13 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 10 9 8 7 7 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 9 9 9 10 10 11 11 11 12 13 14 14 13 11 10 8 5 3 3 3 4 4 5 5 7 9 10 9 8 6 4 3 3 4 5 5 6 7 9 10 10 11 11 10 8 6 4 2 -1 -2 -3 -1 3 7 10 11 11 11 11 12 13 14 14 13 12 11 11 12 13 12 9 7 7 12 19 25 26 21 15 12 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 8 7 7 6 6 6 6 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 11 12 13 14 14 14 14 13 11 8 5 3 2 2 4 6 8 10 11 11 10 9 7 6 6 5 5 5 5 5 6 7 9 10 10 10 10 9 7 5 3 2 3 5 8 10 11 11 11 11 11 11 12 12 13 14 14 14 15 15 15 14 13 12 13 17 20 23 21 16 13 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 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
394 470 548 630 694 767 850 925 921 814 699 666 678 683 677 684 735 846 1003 1069 1049 995 933 875 835 847 859 819 778 747 740 764 807 844 841 809 757 689 620 584 641 697 729 730 723 725 735 742 740 721 700 668 627 581 526 446 375 306 236 170 109 51 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
413 503 574 636 691 754 808 825 782 697 631 634 651 662 673 704 779 915 1090 1153 1110 1015 894 782 714 713 725 685 650 628 629 656 696 726 729 711 669 634 610 587 594 644 683 700 700 697 700 704 710 682 659 630 589 539 477 409 342 276 205 136 73 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
460 536 586 617 635 655 679 679 648 609 591 594 614 647 686 741 828 947 1065 1100 1042 934 807 704 645 617 602 571 549 540 549 579 617 636 623 596 560 549 555 543 528 557 600 644 656 647 641 632 640 623 601 569 526 474 417 355 294 231 161 93 38 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13
471 523 552 555 538 514 515 529 533 528 529 529 554 614 705 776 821 856 890 891 834 747 660 594 550 515 489 475 469 471 487 513 536 535 503 471 449 443 447 456 472 477 498 556 576 557 539 518 510 506 487 456 415 370 323 267 218 160 102 52 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 26
415 459 476 458 428 418 434 459 466 462 463 472 505 582 665 709 712 695 676 652 610 556 504 462 433 414 402 399 400 407 420 436 444 426 387 361 349 345 346 357 378 398 406 453 469 451 424 388 372 363 347 322 290 253 218 174 134 91 52 23 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 29 36
352 392 411 398 369 351 359 387 398 396 400 422 473 537 570 571 555 540 528 498 465 430 397 368 346 336 335 337 336 337 341 344 341 321 293 276 270 270 272 279 293 319 339 355 356 339 311 277 257 243 225 203 175 143 117 89 62 38 19 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 22 36 40
323 357 375 366 333 290 268 284 302 323 353 396 454 489 479 450 426 430 451 417 390 360 330 303 285 277 276 275 267 258 253 250 242 229 216 208 205 206 210 217 233 246 272 271 260 242 216 188 169 154 135 111 84 56 37 24 15 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 23 31 30
313 339 353 344 312 267 232 236 259 302 360 419 462 459 414 376 358 370 391 369 342 310 281 258 239 227 220 209 193 178 167 157 148 152 155 151 151 157 164 171 185 186 194 188 177 166 151 127 106 88 67 44 25 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 13 13 10 6 3 1 0 0 0 0 2 2 1 0 0 1 1 4 9 15 19 20 16
310 333 353 345 305 260 231 233 259 313 381 435 451 428 342 283 271 302 336 322 291 256 225 200 182 168 158 137 119 102 90 82 79 90 100 98 103 110 116 121 125 128 126 114 105 107 107 82 55 37 20 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 2 4 8 14 19 20 16 12 9 7 5 4 4 6 9 9 8 6 5 5 4 6 8 12 15 16 14 12
320 336 366 363 319 272 237 230 242 277 319 351 365 373 328 266 253 271 279 259 222 185 153 127 109 97 86 69 56 46 39 38 44 52 51 51 52 58 65 68 66 67 65 57 53 59 64 46 21 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 2 2 3 4 5 6 10 16 22 25 23 18 14 14 14 14 14 14 16 18 15 12 10 9 10 11 11 11 13 14 14 14 15
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