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 12 10 9 8 8 8 8 9 10 10 10 9 9 9 10 11 11 11 10 10 10 9 9 8 8 7 8 10 11 12 13 13 12 12 11 10 10 10 9 9 10 10 10 10 10 9 8 8 9 10 9 9 8 7 7 6 6 6 5 5 6 7 8 8 8 8 8 7 6 6 7 7 7 7 8 8 7 6 6 6 7 9 11 11 11 10 9 9 10 10 10 10 10 10 9 9 9 11 11 10 9 9 7 6 6 6 6 6 7 8 8 8 7 7 8 8 7 8 8 9 9 10 10 11 11 10 10 9 9 7 7 7 7 8 9 8 7 6 6 6 6 7 8 10 10 10 9 8 7 7 8 9 9 10 10 10 9 8 8 9 10 11 11 9 6 4 2 2 3 4 5 6 7 7 7 7 7 6 5 4 5 7 9 10 10 nan
nan 12 11 10 9 8 7 7 8 9 9 9 9 9 10 11 12 12 10 9 8 8 8 7 7 7 7 8 10 11 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 10 8 8 7 6 7 7 8 8 8 8 8 7 6 6 7 7 7 7 7 7 6 5 4 5 6 7 9 10 11 10 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 9 8 7 7 6 6 6 6 6 7 7 8 8 9 9 10 10 11 10 9 8 7 7 7 7 8 7 6 6 6 6 6 7 9 10 10 9 9 8 8 8 8 9 10 11 11 10 8 7 7 8 10 11 11 9 5 2 1 1 2 4 5 6 6 7 7 8 8 6 5 5 6 8 9 9 9 nan
nan 11 12 11 10 9 8 7 7 7 8 9 9 10 11 12 12 11 9 7 7 6 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 8 8 8 9 8 8 8 9 10 10 10 9 10 10 11 12 13 13 12 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 6 5 5 5 6 6 7 8 8 9 9 9 9 9 10 10 10 9 10 10 10 10 9 9 10 11 11 10 10 9 9 8 8 7 8 8 9 8 6 6 5 5 6 6 6 6 6 6 6 7 8 9 9 10 9 9 8 7 7 7 7 6 5 5 5 5 6 7 9 10 10 9 9 8 8 8 8 8 10 11 11 10 7 6 7 8 10 11 11 9 6 3 1 1 3 5 6 7 7 7 8 9 8 6 5 6 7 8 9 8 8 nan
nan 11 12 12 11 10 8 7 6 6 7 8 9 10 11 11 11 10 8 7 6 6 7 7 8 8 9 9 10 10 9 8 7 6 6 7 8 8 9 9 9 9 9 9 10 11 11 11 10 10 11 11 12 13 13 13 12 12 12 11 10 10 10 9 8 8 7 7 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 8 7 8 8 8 8 7 8 9 10 10 9 9 8 8 7 7 6 7 8 9 9 7 6 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 9 8 8 7 6 5 5 5 5 5 6 7 9 10 10 9 8 7 7 7 8 8 9 10 10 9 8 8 9 10 11 11 10 8 5 3 2 2 4 6 7 7 8 8 9 8 6 5 6 6 7 8 8 8 8 nan
nan 10 11 12 12 10 8 7 6 5 6 7 9 10 10 10 10 9 8 7 6 6 7 8 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 10 11 11 11 11 12 12 12 12 12 13 13 13 12 13 14 15 14 12 11 11 11 10 9 8 8 7 7 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 8 9 10 10 10 9 8 7 7 8 8 8 7 7 7 8 8 9 9 9 10 9 8 7 6 7 8 9 9 7 6 5 4 4 4 4 5 5 5 5 5 5 6 6 7 8 8 9 8 8 7 7 6 5 5 5 6 6 7 8 9 10 9 9 8 8 9 9 9 9 9 9 8 9 10 11 12 12 10 7 5 3 2 2 3 5 6 6 7 7 8 8 7 6 6 7 7 8 7 7 8 8 nan
nan 9 11 11 12 10 8 7 5 5 5 7 8 10 10 9 9 9 8 6 6 6 6 7 8 9 8 8 8 8 8 9 10 10 9 9 9 9 9 10 11 12 13 13 12 12 12 13 14 14 14 14 14 13 14 15 15 13 12 11 10 10 9 9 9 8 7 7 7 8 7 5 5 4 5 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 8 9 9 8 8 7 7 7 8 8 9 10 10 11 10 9 8 8 7 7 8 8 8 7 6 5 4 4 4 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 6 6 7 8 9 10 10 10 10 11 11 11 10 10 9 9 9 9 11 12 12 10 7 4 2 2 3 4 5 6 6 6 5 6 6 7 7 7 8 8 8 7 7 8 9 10 nan
nan 9 9 10 10 9 8 7 6 6 6 7 8 9 9 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 9 9 10 11 12 12 12 12 13 15 15 15 14 13 13 12 12 12 11 11 11 10 10 9 8 8 8 7 6 6 6 6 6 5 5 5 5 6 5 5 4 4 4 4 5 6 7 8 8 8 8 9 9 9 9 9 9 8 8 8 7 8 9 9 10 10 10 9 9 9 8 8 7 7 8 8 8 7 7 6 5 5 5 5 6 6 6 6 6 6 6 7 8 8 9 10 10 10 9 8 8 7 7 6 7 8 9 10 11 11 12 13 13 12 11 10 9 9 9 9 10 10 9 7 5 3 2 3 5 7 8 8 7 6 5 5 6 7 8 9 8 7 6 6 8 10 11 11 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 10 11 12 14 15 15 14 12 11 9 8 7 7 6 6 7 8 9 9 7 6 5 5 5 5 4 4 4 5 5 6 6 7 7 6 5 4 4 4 4 5 6 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 7 6 6 5 5 6 6 6 6 6 6 7 7 8 8 9 10 12 12 11 10 9 8 7 7 7 7 7 8 10 11 11 12 13 13 13 11 10 9 9 9 9 8 8 7 6 4 4 5 7 8 9 9 8 7 7 7 7 8 9 9 8 6 5 5 7 10 12 11 10 nan
nan 8 8 7 7 6 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 11 10 8 6 4 3 2 2 3 4 5 6 6 4 3 4 4 5 5 5 5 4 5 6 6 7 7 7 7 7 6 6 5 5 5 6 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 7 7 6 6 7 7 8 7 7 7 8 8 9 9 9 10 12 13 12 10 8 8 8 8 7 7 6 7 8 9 10 12 13 13 12 11 11 11 10 9 8 8 7 6 5 6 6 8 9 9 8 8 7 8 8 8 9 9 9 8 6 5 4 6 8 10 10 9 8 nan
nan 8 8 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 10 10 9 8 6 5 4 4 4 5 5 4 4 3 2 3 4 5 6 7 7 7 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 9 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 8 7 7 8 9 9 9 8 8 9 9 9 8 9 11 12 12 11 9 9 9 9 8 7 6 6 7 8 9 10 11 12 12 12 12 12 11 10 8 7 7 6 6 8 9 9 9 8 7 6 7 8 8 8 8 9 8 7 5 5 6 8 8 7 5 5 6 nan
nan 8 8 8 7 7 8 8 8 8 8 8 7 6 5 6 6 7 8 8 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 8 9 10 10 9 8 8 7 7 8 8 8 6 5 4 3 4 6 7 7 8 8 7 7 8 8 9 9 9 8 7 7 7 7 7 8 7 6 5 5 6 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 8 7 7 8 8 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 10 11 11 11 11 10 10 8 7 6 6 7 7 8 8 9 10 11 11 11 11 11 10 9 8 7 7 8 9 10 10 9 7 7 7 7 8 8 8 8 8 7 6 4 5 7 8 7 5 4 5 5 nan
nan 9 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 10 11 11 11 12 12 11 10 9 8 8 8 8 9 10 9 8 7 7 7 8 8 8 8 7 7 7 9 10 11 10 10 9 8 8 7 7 8 8 6 5 4 5 6 6 6 6 6 7 7 8 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 9 8 8 7 7 8 9 9 10 10 10 10 9 8 7 8 9 10 12 12 11 10 9 8 7 7 7 7 7 6 6 7 8 9 10 10 10 9 8 8 7 7 8 9 10 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 8 8 8 7 7 7 7 nan
nan 9 8 8 8 8 8 9 9 9 8 7 7 6 7 7 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 6 7 9 11 11 12 12 13 13 11 9 8 8 7 8 9 10 10 11 10 10 10 11 11 10 9 8 8 9 11 11 11 9 8 8 9 8 8 8 8 8 6 5 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 10 11 11 10 9 9 10 10 9 9 9 8 7 7 8 9 10 10 10 10 9 9 8 8 9 10 13 13 11 10 10 9 8 8 8 8 6 5 5 5 7 7 8 8 8 8 7 7 6 6 7 8 8 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 11 11 10 nan
nan 9 8 8 8 8 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 9 8 8 7 8 9 10 10 10 10 11 12 11 9 8 8 8 8 8 10 11 11 11 11 11 12 12 10 9 8 9 11 12 11 9 7 7 7 8 8 8 8 8 8 7 6 4 4 3 4 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 11 11 11 9 9 9 9 9 10 10 9 7 7 8 9 9 10 10 9 9 9 9 8 8 10 13 13 12 11 11 10 9 8 8 8 7 5 5 5 7 8 8 8 8 8 7 7 6 5 5 6 7 8 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 12 12 12 nan
nan 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 9 10 9 8 7 7 7 8 8 7 8 8 9 8 7 6 6 5 4 4 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 9 8 8 7 9 11 12 12 11 10 10 9 9 9 8 7 6 6 7 8 9 9 10 10 11 10 9 9 8 7 6 7 8 8 8 8 8 8 7 8 8 8 9 9 10 11 12 12 11 10 11 11 11 12 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 9 10 10 10 10 10 9 8 8 7 7 9 11 12 12 10 9 7 7 6 7 8 9 10 9 8 8 7 8 8 8 7 6 6 7 7 8 8 7 8 8 8 7 7 8 9 9 7 6 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 9 10 10 10 10 9 9 9 9 9 8 8 7 8 9 9 10 10 11 12 12 12 12 12 11 10 9 9 8 8 8 7 7 7 7 8 8 8 9 10 11 12 11 10 9 9 10 10 10 nan
nan 7 7 7 7 7 8 8 9 10 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 12 13 13 12 11 9 6 5 6 7 9 10 10 9 9 8 8 8 7 7 7 7 7 8 8 7 7 7 7 6 5 6 7 9 9 8 6 5 4 5 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 9 8 8 7 8 9 9 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 13 13 13 13 11 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 nan
nan 6 7 7 7 7 8 9 10 11 11 11 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 7 7 8 8 7 8 9 9 10 9 9 9 9 8 8 8 7 8 9 9 9 10 10 10 10 9 8 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 4 5 5 6 6 5 4 3 3 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 11 11 12 13 14 14 13 12 10 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 6 7 7 8 8 9 10 11 11 11 10 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 7 7 8 8 7 7 7 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 4 4 4 5 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 6 6 5 5 4 3 3 3 4 4 4 3 3 3 4 5 6 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 11 12 13 12 12 10 8 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 nan
nan 7 7 8 9 9 9 10 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 7 8 7 6 6 7 7 6 4 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 6 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 6 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 8 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 10 10 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 5 4 3 3 4 6 7 8 8 8 8 8 8 7 nan
nan 7 8 8 9 9 9 10 11 11 10 9 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 5 5 7 7 6 6 6 6 5 4 3 3 3 4 4 5 6 6 6 7 7 6 5 5 5 6 6 5 5 5 6 8 9 9 9 10 10 10 9 9 9 10 9 9 9 8 8 7 7 7 7 6 5 4 5 5 6 6 6 6 6 7 6 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 9 9 9 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 8 9 9 10 10 10 9 7 5 5 5 6 7 8 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 9 10 11 11 10 9 9 8 7 7 7 7 7 8 8 8 7 6 5 4 4 5 6 7 7 7 7 7 6 5 5 4 4 5 5 6 6 7 8 8 8 8 8 7 7 8 8 8 8 8 9 10 11 11 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 9 8 7 6 5 5 5 6 6 7 7 7 7 7 7 7 6 6 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 8 9 10 10 9 9 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 10 10 10 9 7 7 6 7 7 7 8 7 nan
nan 7 7 7 8 8 9 10 11 11 10 9 8 8 7 7 7 7 8 8 8 8 7 6 5 5 5 6 7 7 8 8 7 7 6 6 6 5 5 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 11 12 13 12 12 11 10 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 7 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 11 11 9 7 7 8 9 9 8 8 8 nan
nan 7 7 6 7 7 8 9 10 10 9 9 8 7 7 6 6 7 8 9 9 8 7 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 7 7 8 8 8 9 9 10 11 12 12 12 12 11 10 9 8 7 6 6 6 7 8 8 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 6 5 5 5 6 7 8 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 9 10 11 11 10 9 8 8 nan
nan 7 6 6 6 7 8 9 9 9 9 8 7 7 7 7 7 8 9 9 8 7 6 5 4 4 4 5 6 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 9 8 7 7 7 7 6 6 6 7 8 8 9 9 9 9 8 8 8 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 7 8 8 8 7 7 6 5 4 4 4 5 5 7 7 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 11 10 9 9 9 nan
nan 7 7 6 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 8 6 5 4 3 2 2 2 4 6 8 8 8 9 10 11 10 9 7 6 6 6 7 7 8 9 10 11 11 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 6 5 4 4 4 4 4 5 6 6 6 6 6 7 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 9 10 10 9 9 9 9 9 nan
nan 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 8 6 4 3 2 2 1 1 2 4 7 8 8 8 10 11 11 9 7 5 4 5 6 7 8 10 11 12 12 12 11 11 11 10 9 9 8 8 9 9 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 6 5 5 6 6 7 7 7 6 5 4 4 3 3 4 4 5 6 6 6 6 6 8 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 9 9 9 9 8 8 9 9 nan
nan 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 7 5 3 2 2 2 2 2 2 3 5 7 9 9 9 9 9 7 5 4 3 4 6 8 10 11 12 12 11 11 10 10 9 8 7 6 6 6 6 7 8 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 9 8 7 5 5 5 6 7 7 7 7 6 5 4 3 3 4 5 6 7 6 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 8 9 10 10 10 9 9 9 9 8 7 7 6 5 3 2 2 2 3 3 3 4 5 6 8 9 10 10 9 7 5 4 4 5 7 9 11 12 12 11 10 9 8 7 7 6 5 4 4 4 5 6 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 9 9 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 10 9 8 6 5 5 6 8 9 9 8 7 6 4 4 4 5 5 6 6 6 5 4 4 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 10 10 10 10 9 9 9 9 nan
nan 9 8 8 8 9 10 10 9 9 9 8 7 6 6 5 5 4 3 2 2 3 3 4 4 5 6 7 8 9 10 11 10 9 7 7 7 8 9 10 11 10 9 8 7 7 6 6 5 5 4 4 5 6 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 5 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 8 6 6 7 8 9 10 9 8 6 5 4 4 5 5 5 5 5 5 4 4 4 5 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 9 10 10 10 10 10 9 9 9 9 nan
nan 9 9 8 9 9 10 10 9 9 8 8 7 5 5 5 4 4 3 3 3 4 4 4 4 5 6 7 9 11 12 13 12 12 11 10 9 9 9 9 8 7 7 6 6 5 5 5 5 5 6 6 7 7 8 9 9 8 8 8 9 8 7 7 6 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 10 9 8 7 7 8 8 9 8 7 6 4 3 3 4 5 4 4 4 5 5 4 4 5 5 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 10 10 9 9 10 10 10 nan
nan 9 9 8 9 9 10 10 10 9 8 7 6 5 5 5 4 4 4 4 4 5 5 5 4 4 6 8 11 13 14 14 13 12 11 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 7 8 9 8 8 8 8 8 7 6 6 7 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 10 9 9 8 8 8 9 10 9 8 7 6 6 6 6 6 5 4 3 3 4 5 5 5 4 5 5 5 5 5 6 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 11 11 10 10 9 9 9 9 9 10 10 nan
nan 9 9 9 9 10 10 10 10 9 8 7 6 5 5 6 5 5 4 4 5 5 5 5 4 5 7 10 12 14 14 13 11 10 8 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 7 8 8 8 8 8 8 7 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 6 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 8 7 7 8 9 8 7 6 5 5 5 5 5 4 4 3 4 5 6 6 6 6 5 5 5 6 6 6 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 9 9 8 8 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 8 8 7 6 7 7 7 6 5 5 5 5 5 5 6 7 10 12 13 13 12 10 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 4 6 7 7 8 8 8 8 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 6 6 7 6 6 5 5 4 5 5 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 7 8 8 7 6 6 6 6 6 5 5 4 4 4 6 7 8 8 8 7 6 5 6 6 6 7 8 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 7 7 8 8 8 9 nan
nan 10 9 9 9 9 9 9 9 9 9 8 7 8 8 8 7 6 5 4 4 5 6 7 8 10 12 13 13 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 4 5 6 7 8 8 8 9 9 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 6 6 5 4 4 4 4 5 5 6 6 6 6 5 5 6 6 7 7 7 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 7 6 6 6 7 8 8 7 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 8 8 8 8 nan
nan 10 10 9 9 9 9 9 9 8 8 8 7 8 8 8 7 5 4 4 5 7 8 9 10 11 12 12 11 9 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 5 6 7 8 9 10 10 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 6 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 7 6 7 9 9 8 7 6 6 7 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 nan
nan 11 10 10 9 9 9 9 8 7 7 7 7 7 7 7 6 5 4 5 7 8 9 10 11 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 9 10 11 10 10 9 9 9 9 9 9 8 8 8 9 8 8 8 8 7 7 7 8 8 7 6 6 5 5 5 6 6 6 6 6 6 7 7 8 7 6 6 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 7 8 8 7 7 7 8 8 9 8 8 8 9 9 10 9 7 6 5 6 8 9 10 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 7 7 7 nan
nan 10 10 9 9 9 9 8 8 7 7 7 7 7 7 6 5 5 6 7 8 9 10 12 12 12 10 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 8 8 8 7 6 5 5 5 6 6 7 7 7 6 6 6 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 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 5 5 5 7 8 8 7 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 8 7 7 7 nan
nan 8 8 9 9 9 9 8 7 6 7 7 7 7 6 5 5 6 8 9 9 11 12 13 12 10 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 5 5 5 6 6 7 7 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 11 10 8 7 7 8 9 10 11 11 10 10 10 9 7 6 5 4 4 4 4 4 4 5 6 6 6 5 5 4 4 5 5 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 8 7 7 nan
nan 7 8 8 9 9 9 8 7 6 6 7 7 7 6 5 6 7 9 11 12 13 13 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 7 8 8 8 8 8 8 10 10 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 10 11 12 13 13 12 12 10 9 7 7 7 9 10 11 11 11 11 10 9 7 5 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 nan
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nan 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 8 9 11 12 13 13 13 11 10 9 9 9 10 11 12 12 12 13 13 13 13 13 14 14 15 16 17 18 19 20 20 20 19 18 17 15 13 12 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 7 7 6 5 5 8 12 17 19 16 13 11 10 10 11 12 14 15 15 15 14 14 15 15 15 14 13 12 13 13 13 14 14 13 11 10 9 8 8 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 nan
nan 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 11 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 10 12 13 13 12 11 10 9 9 9 10 11 11 12 12 12 12 13 13 13 14 15 16 17 17 18 19 19 19 19 19 18 16 15 13 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 12 12 11 11 10 9 8 8 7 7 7 9 12 17 17 15 13 12 12 11 12 13 14 15 15 14 14 14 16 17 15 14 12 13 14 15 16 17 16 14 12 10 8 7 7 7 9 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 nan
nan 11 11 11 10 9 9 9 10 10 10 10 9 9 10 10 10 10 9 8 7 6 7 7 8 8 9 9 8 8 7 7 8 10 11 13 13 12 11 10 9 9 9 10 11 11 12 12 12 13 13 14 14 15 16 16 17 18 18 18 19 19 18 18 17 16 14 13 11 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 7 7 7 8 9 10 10 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 10 11 12 12 12 11 10 9 9 8 8 9 10 13 16 15 14 13 13 12 12 12 12 13 14 13 13 13 14 15 15 13 11 11 12 13 15 17 19 19 18 16 13 11 9 9 10 10 11 11 11 11 11 11 10 10 10 11 12 13 14 14 13 13 13 12 12 12 12 11 nan
nan 12 12 12 11 10 9 9 10 10 9 8 7 7 8 8 9 8 7 7 6 7 7 8 8 9 9 9 8 8 8 8 9 11 12 13 13 12 10 9 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 18 18 18 17 17 16 15 14 12 11 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 6 7 8 10 11 9 8 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 9 10 11 12 13 12 12 13 13 12 12 12 12 12 13 13 13 12 13 13 12 11 10 11 12 14 15 18 20 21 21 19 17 15 14 13 13 12 12 11 11 11 11 10 10 9 10 11 13 14 14 14 13 12 12 11 11 10 10 10 nan
nan 11 11 10 10 9 9 9 9 9 8 7 6 6 6 7 7 6 6 6 7 7 8 9 9 9 9 8 8 8 8 9 10 11 12 13 12 11 10 9 9 10 11 12 12 12 13 14 15 15 16 16 17 17 17 17 17 17 17 17 16 16 15 14 13 12 11 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 6 6 8 10 10 9 8 7 8 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 12 11 10 10 10 10 10 10 10 11 12 12 11 11 11 12 13 14 14 13 12 12 11 10 10 11 13 14 15 16 17 18 18 18 17 16 16 15 14 13 12 11 10 10 10 10 10 10 10 11 12 13 14 14 13 13 12 11 10 9 9 9 9 nan
nan 9 9 8 8 8 8 8 8 8 6 5 5 6 6 6 6 5 5 6 7 8 9 9 10 9 9 8 7 7 8 9 11 12 12 12 11 10 9 9 10 11 11 12 13 13 14 15 16 16 16 17 16 16 16 16 16 15 15 15 15 15 14 13 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 9 9 9 9 8 7 7 8 9 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 10 12 12 12 11 10 10 9 9 10 11 12 12 11 10 10 11 13 14 14 13 12 11 11 11 11 11 13 14 15 15 14 14 13 13 13 13 13 13 12 12 11 10 9 9 9 10 11 11 12 13 13 13 14 14 14 13 13 12 11 10 9 8 7 8 nan
nan 8 7 7 7 7 7 7 7 6 6 6 6 7 6 5 5 5 5 7 8 8 9 9 9 9 8 7 7 7 8 10 12 12 12 11 10 9 9 10 11 11 12 13 14 15 16 16 16 16 16 16 15 15 15 15 15 14 14 14 14 13 12 11 10 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 10 10 9 8 8 9 9 10 12 13 12 11 10 9 9 10 11 13 15 15 13 12 12 13 13 12 11 11 11 11 11 11 11 12 12 13 13 12 11 11 10 10 10 9 9 10 10 9 9 8 8 9 9 10 11 12 14 15 14 14 14 15 15 14 13 12 11 10 9 8 8 10 nan
nan 8 8 8 7 7 7 7 6 6 6 6 6 6 5 4 4 5 7 8 9 9 9 9 8 8 7 7 7 8 10 12 12 12 11 10 9 9 10 10 11 12 13 14 15 16 16 16 16 15 15 15 14 14 14 14 14 13 13 13 12 11 11 10 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 8 9 9 10 9 9 9 9 10 10 11 12 12 11 10 10 10 11 11 11 11 11 11 11 9 8 9 10 10 11 12 13 12 11 10 10 9 10 13 16 17 15 13 13 14 13 11 10 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 7 6 7 8 8 7 7 8 9 11 12 13 14 16 17 17 17 17 18 18 16 14 11 10 9 9 9 11 13 nan
nan 9 9 8 8 8 7 7 6 6 6 6 5 4 4 4 5 7 8 9 10 10 9 9 8 8 7 7 8 9 11 13 13 12 11 10 9 9 10 11 12 13 15 16 16 16 16 15 15 14 14 13 13 13 13 13 13 13 12 11 11 10 9 8 7 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 7 7 8 8 7 7 6 7 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 12 11 10 10 11 12 12 11 10 10 11 11 11 11 12 12 11 10 9 8 10 14 16 15 13 11 11 11 10 8 8 9 10 9 9 10 11 11 11 11 11 11 10 9 9 9 8 7 6 5 6 7 7 7 8 9 11 13 14 14 15 17 19 20 21 20 20 19 17 14 11 9 9 10 12 15 17 nan
nan 9 9 9 8 8 8 7 7 7 6 5 4 3 4 5 7 9 10 10 10 10 9 9 8 8 8 8 9 11 13 13 12 11 10 9 10 10 11 12 13 15 16 16 16 16 15 14 14 13 13 13 13 12 12 12 12 11 11 10 9 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 12 10 9 9 10 12 14 13 12 11 11 10 10 11 12 12 11 10 9 9 11 13 13 12 8 7 7 7 7 8 11 11 11 10 10 11 11 11 11 11 11 10 9 8 8 8 8 6 4 5 5 6 6 8 9 11 13 14 15 15 17 20 22 24 24 21 19 16 14 12 11 12 13 14 17 18 20 nan
nan 9 9 8 8 8 8 8 7 6 4 3 3 4 6 8 9 10 11 11 10 10 9 9 8 8 8 9 11 12 13 13 12 11 10 10 10 11 12 13 15 16 16 16 15 15 14 13 13 13 12 12 12 12 12 11 11 10 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 10 9 7 8 9 12 14 13 13 12 11 10 11 11 11 10 9 9 9 10 12 13 12 9 7 5 5 5 8 12 15 15 13 13 13 12 12 11 11 11 11 10 8 9 9 10 8 5 3 3 4 6 7 10 12 14 15 15 16 16 19 23 26 27 25 19 15 12 11 12 14 16 19 21 22 22 21 nan
nan 9 9 8 8 7 7 7 6 4 3 3 4 6 8 10 11 11 11 11 10 10 9 9 9 9 9 10 12 13 13 12 11 10 10 10 11 12 13 15 16 16 15 15 14 14 13 13 12 12 12 12 12 12 11 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 9 10 10 10 9 8 8 8 9 9 9 9 9 9 10 11 13 13 13 12 11 10 8 8 8 10 12 13 13 12 13 12 12 12 10 8 6 7 9 10 12 13 13 13 11 9 7 6 7 12 17 18 16 15 15 15 14 13 13 12 11 10 9 8 9 9 8 5 2 1 2 5 8 10 12 14 15 15 16 16 18 21 23 24 23 19 15 12 11 13 17 20 24 26 27 27 24 21 nan
nan 10 9 8 7 6 5 4 3 3 3 4 6 8 10 11 11 11 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 10 12 13 14 15 16 15 14 13 13 13 12 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 7 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 6 7 9 10 12 11 9 8 7 9 10 10 9 9 9 10 11 12 13 13 13 12 11 10 10 10 9 10 12 13 13 13 14 14 13 11 8 5 5 7 9 12 13 13 13 13 12 11 9 9 12 16 17 17 16 15 15 15 14 13 13 12 11 9 7 6 5 4 2 -1 -2 -0 4 8 11 13 14 15 15 16 17 18 21 22 21 18 14 11 10 11 15 20 24 28 30 32 30 27 22 18 nan
nan 9 8 7 5 4 3 2 2 3 4 7 9 10 11 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 10 10 10 11 13 14 15 15 14 13 12 12 12 12 12 12 12 12 11 11 11 10 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 7 7 8 7 7 7 9 11 12 11 9 8 8 9 10 10 9 9 9 11 12 13 13 13 12 11 11 10 10 10 10 10 12 13 13 13 14 13 11 9 5 4 6 9 11 12 13 13 13 13 12 11 11 12 15 16 16 15 15 16 15 14 13 12 12 11 9 7 4 2 0 -1 -2 -2 0 4 9 12 14 14 14 15 17 19 21 23 24 23 19 14 10 10 11 16 21 26 28 30 31 29 26 21 17 14 nan
nan 7 6 4 3 2 2 2 3 5 7 9 10 11 11 10 9 9 9 9 10 10 11 12 13 13 12 12 11 11 11 11 10 10 11 12 13 15 15 14 13 12 11 11 11 11 11 11 12 11 11 11 10 9 8 8 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 8 9 11 12 11 10 9 9 9 10 10 9 10 10 11 12 12 12 11 10 9 9 10 10 10 10 11 11 12 11 12 12 12 10 6 4 6 9 11 12 12 14 14 14 12 11 11 11 13 15 15 15 16 18 18 16 14 13 11 9 7 4 2 -1 -2 -2 -0 3 6 10 13 15 15 15 15 16 18 21 23 26 27 26 23 19 15 12 13 16 21 24 26 26 26 24 21 18 16 14 13 nan
nan 5 4 3 3 2 3 4 6 7 9 10 10 10 10 9 9 8 9 10 11 12 13 14 14 13 13 12 11 11 12 11 11 11 12 13 14 15 14 13 12 11 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 11 11 11 12 12 11 9 6 5 8 11 12 13 15 16 15 13 11 11 12 13 14 14 13 13 16 20 20 18 15 11 7 4 1 -0 -1 -1 0 3 8 13 16 19 19 18 17 18 19 21 23 25 26 26 25 23 20 16 13 13 14 17 21 22 23 22 20 18 15 14 13 13 12 nan
nan 4 3 3 4 4 5 7 8 9 10 11 11 10 9 8 8 9 10 11 12 13 14 14 14 13 12 12 12 12 12 12 12 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 7 8 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 8 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 9 10 10 11 11 12 12 10 9 8 8 10 12 13 16 17 16 14 11 10 12 14 15 14 13 13 13 16 18 18 17 14 9 4 2 1 2 4 6 10 14 19 22 23 23 21 21 22 23 23 24 24 24 23 21 19 16 14 11 9 10 12 16 18 19 20 19 17 15 14 13 13 12 12 nan
nan 4 4 5 5 7 8 9 10 11 11 10 10 9 8 8 9 9 10 12 12 13 13 13 13 13 12 12 12 13 14 14 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 8 10 11 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 11 11 11 11 11 10 9 10 10 11 12 13 15 15 13 11 10 12 16 17 16 14 13 13 15 17 19 19 19 15 9 7 7 9 12 15 17 20 23 26 26 25 23 22 22 23 22 21 20 19 17 15 14 13 11 10 8 7 9 12 14 16 17 18 18 16 14 13 12 12 12 11 nan
nan 5 6 7 8 9 11 11 11 11 10 10 9 9 8 9 10 10 11 12 13 13 13 13 13 12 12 12 13 14 15 15 15 15 14 14 13 12 11 10 11 11 11 11 11 11 11 10 10 9 8 8 7 7 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 10 10 9 9 9 10 9 9 9 9 10 10 10 10 10 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 10 10 11 12 12 11 11 10 12 16 19 19 17 15 15 16 19 21 23 23 22 18 15 14 15 17 19 21 22 23 24 23 22 20 19 18 17 17 16 15 14 13 11 11 10 11 12 12 11 10 10 12 13 14 15 16 15 14 13 13 12 12 12 12 nan
nan 7 8 10 11 12 12 12 11 10 9 9 9 9 10 11 11 11 12 12 13 13 12 12 12 12 12 13 14 14 15 15 15 15 14 13 12 11 10 10 11 11 12 12 12 11 10 10 9 9 8 8 7 7 6 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 10 10 9 9 9 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 14 17 18 18 16 15 16 18 21 23 23 22 20 18 17 17 18 19 19 20 20 19 18 16 14 14 14 15 15 14 13 13 13 12 12 12 13 13 14 14 13 13 12 12 12 13 13 14 13 13 13 13 13 13 13 13 nan
nan 9 11 12 13 13 13 12 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 14 13 12 11 10 10 11 11 12 12 12 11 11 10 10 9 9 9 8 8 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 11 11 13 14 15 15 15 13 13 15 17 18 18 17 16 14 14 14 15 15 15 16 16 15 15 14 14 14 14 15 16 17 17 18 18 18 17 16 16 16 16 15 14 13 13 13 13 12 12 12 13 13 13 12 12 13 13 13 14 nan
nan 11 12 13 13 13 12 11 10 10 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 11 10 10 10 11 12 12 12 11 11 10 10 9 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 11 11 11 11 10 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 12 13 13 14 13 12 12 11 11 11 11 12 13 13 14 13 14 16 16 17 17 17 18 18 18 19 20 20 19 18 17 16 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 nan
nan 12 13 13 12 11 11 10 10 10 11 12 12 12 12 13 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 10 11 10 10 9 9 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 9 8 7 6 6 5 6 7 9 10 11 12 13 13 12 12 12 12 12 12 12 11 10 10 9 9 9 10 12 13 14 14 14 15 16 16 16 16 16 16 16 16 16 17 17 17 16 15 13 12 12 12 12 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 12 11 10 10 10 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 11 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 11 13 13 13 13 13 13 12 12 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 6 3 2 0 0 2 5 7 9 10 11 11 12 12 12 11 11 11 11 11 10 9 7 5 6 9 12 14 16 16 15 14 14 14 14 14 13 13 13 13 13 14 14 14 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 nan
nan 12 12 11 11 12 12 12 13 13 12 12 12 13 13 13 11 11 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 11 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 11 11 12 12 11 11 11 11 12 13 13 13 12 11 10 10 11 12 13 13 13 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 7 5 2 -2 -3 -3 -0 4 7 9 9 9 9 9 10 10 9 8 7 8 9 9 8 5 2 3 6 11 16 18 18 17 15 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 12 12 11 11 12 12 11 11 11 11 11 11 10 10 nan
nan 12 12 12 13 13 13 13 13 13 12 12 12 13 13 12 11 10 10 10 11 11 12 12 12 12 12 12 12 13 12 12 11 11 10 11 11 12 12 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 9 10 10 11 11 10 10 10 10 11 11 11 12 12 12 11 10 11 12 12 11 10 10 9 8 7 7 7 8 9 10 10 10 11 11 12 12 11 11 11 11 10 10 9 8 7 5 3 -0 -3 -5 -4 -0 5 9 11 12 12 11 11 10 9 7 5 4 4 6 7 7 5 1 1 5 11 17 21 20 18 15 14 13 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 nan
nan 13 13 14 14 14 14 13 12 12 12 12 13 13 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 12 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 8 7 7 7 7 7 8 8 8 9 10 10 11 10 10 9 10 10 10 10 9 9 9 9 9 9 9 10 9 8 7 7 8 7 7 5 3 3 4 6 7 8 8 10 11 11 11 11 11 12 11 9 7 5 3 1 -2 -4 -5 -3 1 6 11 12 12 12 13 14 15 14 12 10 7 6 7 9 9 7 5 3 6 14 21 25 23 18 16 14 13 12 12 12 12 11 12 12 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 14 14 14 14 13 13 12 11 11 12 13 13 13 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 11 11 10 9 9 8 7 6 5 5 5 5 6 6 8 9 9 9 8 5 4 3 4 4 5 5 7 8 9 10 11 12 12 11 10 7 5 2 -1 -2 -2 -1 3 8 11 12 12 12 12 13 15 16 16 16 14 13 13 14 14 13 11 9 11 17 24 29 27 20 16 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 nan
nan 13 13 13 13 12 12 11 11 12 13 14 14 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 11 12 12 12 12 11 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 5 4 3 4 6 8 9 10 10 9 8 8 8 8 8 8 7 6 6 6 6 7 9 11 12 12 12 11 8 6 4 3 4 6 9 11 12 12 12 12 12 12 14 15 16 16 16 16 16 16 15 14 13 14 17 23 27 28 23 17 13 11 10 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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
422 456 509 530 509 464 462 497 556 617 644 621 604 633 707 767 777 764 778 819 862 933 1037 1167 1305 1417 1435 1355 1276 1259 1336 1467 1553 1636 1706 1743 1715 1656 1636 1678 1661 1781 1814 1742 1679 1661 1643 1602 1601 1563 1495 1476 1457 1366 1204 1013 827 650 511 405 306 196 87 21 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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555 544 532 491 474 491 518 572 662 750 767 668 731 794 810 777 751 784 864 949 1006 1036 1099 1196 1279 1289 1183 1029 924 946 1088 1282 1445 1518 1588 1707 1698 1656 1641 1631 1657 1701 1736 1748 1750 1737 1709 1691 1689 1646 1627 1624 1597 1509 1348 1135 916 694 523 378 242 125 36 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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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 1 1 2 3 4 6 6 6 7 9 14 20 27 34 39 41 42 43 45 49 55 57 57 58 58 58 55 53 51 50 49 48 47 47 47 48 49 50 51 51 51 53 56 60 67 78 91 103 134 162 160 145 142 127 102 80 73 77 78 83 84 70 41 21 14 12 11 9 8 9 14 18 20 17 11 6 4 5 7 10 12 13 15 16 19 23 27 29 31 31 32 31 30 30 28 28 30 34 38 42 48 54 59 63 62 61 57 52 45 40 37
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1 1 1 1 1 1 1 1 0 0 0 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 2 4 7 10 14 18 21 23 23 24 25 27 33 40 44 47 49 52 56 60 61 60 58 55 58 70 80 83 75 61 49 44 39 34 30 27 25 23 22 21 22 23 26 29 33 42 59 85 111 133 155 172 180 172 159 153 154 155 153 146 121 106 103 105 106 97 79 63 52 43 33 25 22 24 25 25 25 23 20 17 15 13 12 10 9 10 11 11 12 13 15 17 20 24 31 37 41 45 49 52 54 48 48 47 44 40 41 44 47 52 57 63 67 64 61
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1 1 1 1 2 2 1 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 1 2 4 6 9 12 14 14 14 14 14 13 14 17 21 24 28 32 38 43 49 51 53 57 62 65 66 62 53 41 31 23 17 13 9 7 4 3 2 2 2 2 1 1 8 27 65 129 204 237 231 228 232 224 193 167 157 158 166 175 170 162 153 143 129 114 95 80 69 60 51 40 35 31 27 24 22 23 24 25 26 24 22 21 20 18 17 17 17 18 17 16 17 18 18 22 27 31 36 43 51 58 61 63 63 62 62 62 60 58 56 56 57 63 66 68
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2 1 1 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 6 6 8 12 16 18 20 23 29 40 46 48 48 45 41 32 25 19 14 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 6 26 73 164 205 214 213 217 219 209 199 202 211 208 192 170 153 142 134 125 116 111 108 103 94 83 71 65 56 41 24 16 23 31 36 37 36 32 29 28 28 28 28 28 28 28 28 29 30 31 32 33 34 34 36 41 46 51 58 65 68 71 72 72 71 70 69 68 68 69 71
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1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 1 5 10 11 8 1 0 0 0 0 1 3 6 9 10 11 13 14 16 14 16 17 16 15 11 6 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 1 1 3 4 5 5 6 7 9 10 10 10 11 12 12 13 12 12 12 11 10 10 11 12 12 11 9 7 5 6 3 1 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 6 7 8 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 2 1 0 0 2 3
2 2 3 3 2 2 2 2 2 1 0 0 0 0 0 1 3 6 11 13 10 5 1 0 0 0 1 5 11 15 16 16 17 18 18 17 12 14 17 18 15 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 1 3 3 4 6 7 8 8 10 10 11 11 11 12 12 12 12 12 11 10 10 8 8 9 10 10 8 7 5 4 4 3 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 1 0 0 0 1 2
3 3 4 3 3 2 2 1 1 1 1 1 0 0 0 2 6 8 9 7 3 1 0 0 1 4 7 11 15 18 19 20 21 20 18 16 15 20 23 20 12 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 1 2 3 5 6 6 7 8 9 10 11 12 12 12 13 13 12 12 11 9 8 8 8 8 7 7 7 7 7 4 2 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 2
4 4 4 4 3 2 1 1 1 1 2 2 1 0 2 3 4 4 2 1 0 0 0 0 2 5 10 14 16 19 21 23 22 20 18 17 22 26 24 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 7 8 8 9 10 12 13 13 13 13 13 13 12 11 9 8 7 6 7 6 6 6 6 5 5 4 2 1 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 1 3
4 4 4 4 4 2 1 1 1 1 1 2 2 2 3 2 2 1 0 1 1 2 2 2 3 6 11 14 18 21 24 25 23 20 21 24 30 28 19 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 6 7 8 8 8 9 10 12 14 14 14 13 13 13 13 12 11 9 9 8 7 7 7 6 5 5 4 4 3 3 2 1 0 1 4 4 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 2 2 2 3 3 3 2 2 2 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 6 3 0 0 0 0 0 0 0 0 0 2 11
4 4 4 4 4 3 2 1 1 1 2 3 3 3 2 1 0 1 2 4 6 7 7 7 7 9 12 16 21 25 27 26 21 21 25 29 30 21 9 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 1 1 1 2 3 4 4 6 7 8 9 10 9 10 11 13 14 14 13 12 13 13 12 11 10 8 9 10 9 8 6 5 4 4 3 3 3 3 4 2 1 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 2 2 2 2 2 2 3 3 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 9 9 5 0 0 0 0 0 0 0 2 6 17 30
5 5 5 5 4 3 2 2 2 2 2 3 3 1 0 1 3 6 10 13 13 12 10 10 10 11 15 20 25 28 28 26 22 25 28 28 22 8 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 1 2 2 3 4 5 6 6 8 9 11 12 13 12 12 13 14 14 14 14 14 14 13 13 12 11 10 10 10 10 9 7 5 5 3 3 4 4 4 6 4 3 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 1 1 3 6 7 3 1 3 2 0 0 0 0 0 0 0 3 6 13 23 32
6 7 6 5 3 2 2 2 2 3 2 2 1 0 1 4 10 16 21 24 24 22 19 15 14 15 18 23 28 31 29 25 24 27 27 22 12 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 1 2 1 2 3 5 5 6 6 7 8 9 11 13 15 15 15 15 16 16 14 14 15 16 15 14 14 13 11 10 11 11 11 11 9 7 6 4 4 4 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 1 4 9 14 19 18 10 5 2 1 0 0 0 0 0 1 4 9 15 20 25 29
7 6 4 2 2 2 1 1 1 1 0 0 1 4 8 13 19 26 32 35 35 31 26 19 18 19 21 26 31 35 33 29 29 29 23 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 1 2 3 3 4 5 5 6 7 7 8 8 9 11 14 15 16 17 17 17 16 14 15 16 16 16 15 15 14 12 11 12 13 13 13 10 8 6 6 5 5 5 4 5 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 5 13 26 33 33 27 17 9 4 1 0 0 0 0 1 3 6 11 18 24 26 28
4 3 2 2 2 1 0 1 1 0 0 3 8 14 19 23 29 35 39 41 38 34 30 26 24 24 26 29 33 37 38 35 33 25 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 6 7 7 8 8 9 11 14 15 16 16 16 17 19 18 18 19 19 17 15 14 14 13 12 13 14 15 12 10 9 8 7 7 6 5 5 5 5 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 3 8 16 28 50 57 53 41 25 13 6 3 1 1 0 1 2 5 10 16 20 22 24 26
2 2 1 1 1 0 0 0 0 1 4 10 16 21 25 32 38 42 44 44 38 35 33 32 32 33 33 34 35 39 40 38 30 19 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 6 7 8 9 9 11 13 15 16 17 18 17 20 21 21 22 21 18 15 14 15 14 12 12 14 13 11 10 10 10 9 8 8 7 6 6 7 7 7 5 5 5 5 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4 4 4 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 1 5 14 26 42 56 66 68 63 53 43 27 11 6 4 3 2 3 4 9 13 17 20 21 24 26
2 1 1 1 0 0 1 2 4 7 12 18 23 28 34 38 42 45 45 42 40 38 36 36 37 33 32 33 34 36 36 32 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 1 2 3 4 4 5 6 7 8 9 11 12 14 15 17 18 16 19 20 20 20 19 17 16 15 15 15 13 12 14 12 10 11 11 11 10 9 9 9 7 7 7 7 8 8 8 8 8 5 3 2 2 1 0 0 0 0 0 0 0 1 1 2 2 1 2 2 2 2 1 1 1 1 1 0 0 2 4 6 2 1 1 5 9 16 27 42 54 58 59 61 62 42 26 17 13 10 8 7 6 6 8 11 15 17 19 22 24 27
1 1 1 1 1 2 4 7 11 15 20 27 30 33 36 41 44 45 43 37 42 41 39 38 36 31 28 26 25 26 24 19 8 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 1 1 2 4 5 5 6 7 8 9 11 13 16 18 20 19 19 19 18 19 18 17 16 15 15 14 13 13 12 10 10 11 13 12 11 10 10 10 8 8 8 9 9 9 9 9 9 8 6 5 4 2 1 1 1 1 0 0 0 1 1 2 2 1 1 2 2 1 1 1 1 1 2 3 13 27 36 21 6 2 6 15 15 18 25 36 38 33 34 46 70 47 32 26 21 16 13 12 12 12 13 14 15 18 20 22 25 27
3 4 5 6 7 8 12 16 20 24 29 33 35 37 40 43 45 42 41 46 50 50 47 45 46 40 32 25 19 17 13 8 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 1 0 0 0 0 0 0 0 1 1 1 2 3 3 3 4 5 7 8 9 12 15 19 22 23 22 20 18 17 19 18 16 14 13 14 14 14 13 11 10 11 13 13 12 11 11 11 9 8 9 9 9 10 10 10 9 9 9 9 8 7 5 4 3 2 1 1 1 1 1 2 2 2 2 3 3 2 1 1 1 1 1 2 3 8 12 9 3 2 3 6 13 19 26 32 34 39 43 50 57 69 59 46 38 30 25 22 20 19 18 17 16 17 19 20 22 24 26
7 8 11 13 14 17 22 26 29 33 36 39 40 42 44 46 45 45 47 58 60 58 55 51 47 38 31 25 19 13 7 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 1 2 2 2 3 2 1 1 1 1 1 1 2 2 3 3 4 5 7 8 10 13 17 20 22 23 21 19 19 18 18 17 15 13 12 13 13 13 11 10 11 14 15 14 12 11 11 10 11 9 8 8 9 11 11 9 7 7 8 8 9 7 5 4 3 3 2 2 2 3 3 2 2 2 3 3 2 1 1 1 1 2 2 6 7 8 10 10 7 6 10 18 34 52 58 48 54 65 75 80 77 69 60 51 42 35 31 28 26 24 22 21 21 21 22 22 22 24 26
10 11 14 19 23 28 33 37 39 41 43 45 47 48 47 45 44 52 62 66 64 60 54 46 37 29 22 16 11 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 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2 3 4 5 7 10 12 15 19 21 22 23 22 20 19 18 18 16 14 12 12 12 11 10 10 11 13 14 14 13 12 12 12 11 10 9 8 8 8 9 8 7 5 6 5 6 7 6 4 3 2 2 2 1 1 1 1 1 1 2 2 2 1 1 1 2 2 2 2 19 27 30 30 31 24 22 28 39 54 70 79 80 86 90 89 85 77 69 61 53 45 40 37 35 33 32 30 28 28 26 26 26 26 26 27
13 16 19 29 36 40 43 45 47 48 50 52 53 53 50 47 56 63 68 68 64 55 46 36 26 20 14 10 5 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 11 14 16 18 20 21 22 21 19 18 17 17 17 14 11 12 11 11 10 11 12 14 15 14 12 11 11 11 11 10 9 9 9 7 6 5 4 3 3 2 2 4 3 3 2 2 2 1 1 1 1 0 0 1 1 1 1 0 1 2 4 7 12 10 22 34 41 40 39 37 37 40 48 58 68 75 79 81 83 85 84 78 70 63 56 50 46 44 43 43 43 42 40 38 35 34 34 33 33 32
21 28 36 43 46 49 50 52 56 59 60 62 61 58 57 60 67 69 69 65 58 47 36 26 17 12 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 10 13 15 16 18 19 18 17 15 14 14 15 17 16 13 13 13 12 12 11 11 12 12 11 11 10 9 9 9 9 10 10 8 6 3 1 1 1 0 0 0 1 1 1 1 2 1 1 1 0 0 0 0 0 1 1 1 0 1 3 6 11 21 31 40 43 40 38 39 40 41 44 52 60 66 71 73 74 77 82 82 78 73 66 60 55 52 50 50 50 50 50 50 47 44 42 41 40 38 37
36 45 50 51 50 50 53 61 66 69 70 71 70 69 70 72 72 69 64 57 47 37 26 17 10 6 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 11 10 10 13 15 13 9 8 9 11 12 14 14 13 12 12 11 10 10 10 10 9 8 8 7 7 7 7 7 8 7 5 3 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 28 37 41 42 41 42 44 46 48 50 54 58 62 67 67 69 74 79 81 80 76 72 66 60 57 54 55 55 55 55 55 52 50 47 46 44 43 42
46 53 55 54 53 53 58 70 76 79 80 78 74 80 82 78 72 65 56 44 31 23 15 9 4 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 1 1 2 4 6 8 7 5 4 4 3 2 2 3 4 8 9 10 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 5 4 3 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 12 24 31 35 40 44 47 48 49 50 50 51 52 54 55 57 61 63 67 73 78 81 81 79 75 71 66 61 59 58 58 58 58 58 56 54 52 50 49 48 47
56 56 57 59 61 64 69 76 81 81 76 68 63 76 81 76 68 58 46 33 20 12 7 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 2 4 6 8 8 6 3 2 2 2 2 2 1 2 3 5 5 5 5 7 6 4 4 5 5 4 4 3 3 3 3 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 13 26 35 37 41 45 49 54 54 53 50 52 55 56 56 54 57 62 67 73 79 82 83 81 78 74 71 67 64 62 61 61 60 60 58 56 55 54 53 53 52
56 58 61 66 67 69 72 77 79 75 67 62 73 74 72 66 58 48 35 22 12 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 1 2 3 4 3 1 1 1 1 2 1 1 1 1 0 0 0 1 2 2 2 3 4 4 3 2 0 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 6 15 25 29 35 39 43 50 55 56 55 54 56 59 60 60 57 59 63 68 74 79 82 83 82 80 77 74 70 67 64 63 64 62 60 59 57 56 56 56 55 53
56 60 64 67 68 68 70 72 71 65 58 53 64 65 62 56 49 37 25 14 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 1 1 1 1 1 0 0 0 0 0 1 1 2 3 2 1 0 1 1 0 0 0 0 0 0 0 0 1 2 3 3 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 1 8 18 27 25 29 35 42 49 52 54 56 60 63 66 67 67 64 63 65 69 75 78 81 82 83 81 78 75 72 68 64 62 64 62 60 57 56 55 56 56 55 52