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 5 5 5 5 4 4 5 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 7 6 6 5 5 5 6 8 9 10 9 9 8 7 6 7 8 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 8 8 8 7 7 7 7 8 9 10 11 12 11 9 7 5 4 3 3 3 4 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 6 6 6 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 7 7 8 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 11 12 11 9 7 6 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 7 8 8 8 7 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 10 11 11 11 10 9 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 nan
nan 8 7 7 8 9 9 8 8 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 9 10 9 8 7 7 6 6 6 6 6 7 7 7 6 7 8 8 8 7 7 7 7 7 8 9 10 11 12 12 11 10 8 7 7 6 6 5 5 5 5 5 5 5 5 5 4 3 3 3 4 5 6 7 7 6 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 nan
nan 7 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 6 6 7 9 9 8 7 7 7 6 6 6 6 6 7 7 7 7 8 9 9 8 8 7 7 7 8 8 9 10 11 13 12 11 9 8 7 7 6 5 5 5 5 6 6 6 6 5 4 3 3 3 4 5 6 7 7 6 4 4 4 5 6 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 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 nan
nan 6 6 7 8 8 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 9 10 9 9 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 9 10 9 9 8 8 8 8 8 9 10 11 12 12 12 10 9 8 7 6 6 6 6 7 7 7 7 6 6 5 4 3 3 4 5 7 8 7 6 4 4 5 6 6 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 nan
nan 6 5 5 7 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 8 7 7 7 8 8 7 6 7 8 9 9 9 8 8 9 9 8 7 7 6 6 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 9 10 10 9 9 8 8 8 9 9 10 11 12 12 11 10 8 8 7 6 6 7 8 8 8 8 7 6 5 5 4 4 4 6 8 8 8 6 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 6 7 7 8 8 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 nan
nan 7 6 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 7 7 7 7 7 8 8 8 7 7 8 9 9 8 8 8 9 9 9 8 8 7 6 6 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 10 12 12 12 11 9 8 7 6 6 7 8 8 8 8 8 7 6 5 4 4 4 6 8 9 8 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 8 8 7 7 6 6 6 6 6 5 5 6 6 7 7 7 7 nan
nan 8 7 6 6 7 8 8 8 7 6 6 6 6 7 7 8 8 8 9 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 6 7 7 7 8 8 7 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 9 8 7 7 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 9 10 11 11 11 11 11 9 9 10 11 12 12 12 10 8 7 6 6 6 7 8 8 8 8 8 7 6 5 4 4 6 7 8 8 8 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 7 nan
nan 9 8 6 6 6 7 8 8 8 7 6 6 6 6 7 8 8 9 9 8 8 8 8 9 9 8 7 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 4 5 5 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 9 10 11 11 12 12 11 10 9 10 11 12 12 11 9 7 6 6 6 6 8 8 8 8 8 8 7 5 4 4 5 7 8 9 8 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 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 7 7 7 7 nan
nan 8 8 7 5 5 7 8 8 8 7 7 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 6 6 7 7 6 5 5 5 6 5 5 6 6 6 5 5 6 6 6 6 5 5 7 7 7 8 8 8 8 7 7 7 6 7 8 8 8 9 8 7 7 7 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 11 12 12 11 10 10 10 11 12 12 10 9 7 6 6 6 7 7 7 8 8 8 7 6 5 5 5 6 8 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 5 5 6 6 6 6 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 nan
nan 7 8 7 6 5 6 7 7 7 7 7 8 8 7 7 7 8 8 9 8 8 7 7 7 6 7 7 8 7 7 7 7 7 7 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 8 7 7 7 7 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 10 11 13 13 12 11 10 11 12 12 12 11 9 8 7 7 6 6 6 7 7 8 7 7 6 5 5 6 8 8 8 8 7 6 6 6 6 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 nan
nan 5 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 8 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 8 9 12 14 14 14 13 12 12 12 12 12 11 10 9 8 7 6 6 6 7 7 7 7 7 6 6 6 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 6 5 nan
nan 4 5 6 7 7 7 7 7 7 7 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 9 12 14 15 15 15 13 12 12 12 12 12 11 10 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 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 6 6 nan
nan 5 4 5 6 7 7 7 7 7 7 8 8 9 9 10 11 10 9 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 6 7 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 7 7 6 6 7 7 7 7 9 12 14 16 16 14 12 11 12 12 12 12 12 11 10 9 9 8 7 7 7 7 7 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 nan
nan 6 5 4 5 6 6 6 7 7 7 8 8 9 10 11 11 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 9 10 9 8 7 6 6 6 7 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 9 9 9 8 8 8 8 9 8 8 8 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 9 11 13 15 15 13 11 11 12 12 13 13 14 13 13 12 11 9 8 7 6 7 7 7 7 8 8 9 8 8 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 nan
nan 7 6 4 5 6 7 6 7 7 8 8 8 9 10 11 10 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 8 7 6 6 6 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 8 9 11 13 14 13 12 11 11 11 12 13 14 14 15 14 14 13 11 9 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 nan
nan 8 6 5 5 6 7 7 7 7 8 8 8 9 10 10 9 8 8 8 7 8 8 8 7 7 7 8 8 8 8 8 7 7 6 7 7 8 9 9 8 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 7 8 8 7 7 7 8 9 12 14 14 13 12 11 11 11 12 12 13 14 14 15 15 14 12 10 8 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 6 5 4 4 5 5 6 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 nan
nan 9 7 5 5 6 7 7 7 7 7 7 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 9 9 8 7 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 10 13 14 15 14 13 12 11 10 10 11 11 12 13 13 14 14 13 11 9 8 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 nan
nan 9 8 6 5 6 7 9 9 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 6 6 7 8 9 10 9 8 7 7 6 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 11 13 14 15 15 14 13 12 12 12 11 11 11 11 12 13 13 12 10 9 8 7 7 7 8 8 8 8 9 9 9 9 8 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 5 5 nan
nan 9 9 7 6 7 8 10 10 10 9 9 9 9 10 9 8 7 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 6 7 9 10 10 9 8 7 7 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 10 10 10 9 8 7 7 6 6 6 6 7 8 9 10 11 12 14 15 14 14 14 14 14 13 11 10 9 9 10 11 12 11 10 8 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 5 5 nan
nan 10 9 9 7 7 8 9 10 11 11 11 10 10 10 9 8 7 7 8 8 8 8 8 7 7 7 8 7 7 7 8 9 9 8 7 6 5 6 7 9 10 10 9 8 7 8 8 8 9 9 9 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 10 9 8 8 8 8 9 9 10 10 9 9 8 8 7 6 6 6 7 8 8 8 9 10 11 12 12 13 13 14 16 15 13 11 10 9 9 10 11 11 11 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 6 6 6 7 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 6 6 6 7 7 6 6 6 6 6 6 nan
nan 10 10 9 8 7 6 7 9 10 10 11 10 10 10 9 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 7 6 6 5 6 7 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 8 8 8 8 8 9 10 10 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 10 12 14 15 15 14 12 11 9 9 10 11 10 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 6 6 6 7 7 6 6 6 6 6 6 nan
nan 10 10 9 8 7 6 7 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 12 14 16 17 15 13 11 10 10 10 10 11 10 10 9 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 8 8 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 6 6 6 nan
nan 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 8 7 7 8 8 7 7 7 7 7 8 8 10 11 10 10 10 10 9 8 8 8 8 8 7 6 6 7 8 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 10 10 9 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 10 12 15 17 18 17 15 12 10 10 11 11 12 11 11 10 9 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 6 nan
nan 10 9 9 8 7 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 9 8 8 9 9 8 7 6 5 5 7 9 11 12 13 14 12 11 10 8 6 6 6 7 8 9 10 11 11 12 12 11 10 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 12 15 18 20 19 16 13 12 11 12 12 12 11 10 9 9 8 8 8 8 7 7 6 6 7 8 9 10 10 10 9 8 6 6 6 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 6 nan
nan 10 10 9 8 8 7 7 8 9 10 10 10 10 10 9 9 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 11 10 9 8 8 9 9 9 8 7 5 5 6 8 10 11 12 12 11 9 8 6 5 5 6 7 9 10 11 12 11 11 11 11 10 10 10 9 8 7 7 7 7 8 8 9 9 9 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 12 15 19 21 20 17 15 14 14 14 13 13 11 10 10 9 9 9 8 8 7 6 6 6 6 7 9 11 11 10 9 7 6 6 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 6 nan
nan 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 8 7 7 8 9 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 9 9 10 10 8 7 6 5 6 8 9 10 10 8 6 5 5 5 5 6 8 9 10 10 11 10 10 10 10 10 10 10 9 8 8 7 7 8 8 9 10 10 10 10 10 9 9 8 9 9 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 11 14 18 20 20 20 19 19 20 20 18 16 13 12 11 11 10 9 9 8 7 7 6 6 6 8 10 11 12 11 9 7 6 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 9 7 6 7 7 7 8 8 9 9 9 8 7 7 7 9 9 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 9 10 11 10 8 7 7 7 7 8 8 8 6 5 4 5 6 7 7 8 8 8 8 8 9 10 10 10 10 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 9 9 8 8 9 9 8 8 9 9 10 11 11 11 11 10 9 9 9 9 8 8 8 9 8 8 7 7 7 7 8 8 9 10 13 16 19 20 20 21 23 25 25 22 18 14 13 12 11 11 10 9 8 7 7 6 6 6 8 10 11 11 10 9 8 7 6 6 5 6 6 6 7 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 11 10 10 10 9 8 7 7 6 7 7 8 8 9 9 8 7 7 7 9 9 10 10 10 10 9 9 8 8 7 7 7 6 6 5 5 6 7 9 10 10 10 9 9 9 9 9 9 7 6 4 4 6 7 8 9 9 9 8 7 6 7 9 9 9 9 10 12 12 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 10 10 9 9 8 8 8 9 10 10 9 8 7 6 7 7 8 8 8 10 11 13 15 16 17 18 21 23 23 20 17 15 14 13 12 11 11 10 9 8 7 6 6 6 8 10 11 11 10 9 7 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 nan
nan 13 12 11 11 11 10 9 8 7 7 7 8 8 9 9 10 9 8 7 8 9 9 10 10 10 10 10 10 9 8 7 7 6 5 4 3 4 5 7 8 9 10 10 10 10 10 10 10 8 6 4 5 6 8 10 10 10 9 8 6 6 7 7 7 7 7 9 11 12 12 12 11 10 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 8 8 9 9 10 9 8 7 6 6 7 7 8 8 8 9 9 10 11 12 12 14 17 19 19 18 17 15 14 13 12 12 12 11 10 9 7 6 6 7 9 10 11 11 10 7 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 nan
nan 13 13 12 12 11 11 10 10 9 8 7 7 8 9 10 11 11 9 7 7 8 8 9 10 11 12 12 11 10 8 8 7 7 6 5 4 4 4 4 5 6 7 8 8 9 10 11 11 10 8 6 5 7 8 9 9 8 8 7 7 7 8 7 6 6 6 7 9 11 12 12 12 11 11 10 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 9 9 10 10 9 9 9 8 7 7 7 7 7 8 8 8 8 9 9 10 11 12 13 15 16 16 16 16 14 13 13 13 13 13 12 11 9 8 7 6 7 9 11 12 11 9 7 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 nan
nan 12 13 12 11 10 10 11 11 10 9 8 8 8 9 11 12 13 11 8 7 7 8 9 11 12 13 12 11 9 8 7 7 8 8 7 6 4 4 3 3 4 4 5 6 7 8 10 11 11 9 8 7 6 6 5 5 5 6 7 8 9 9 9 9 7 7 6 8 9 10 10 11 12 13 13 12 10 9 8 8 8 8 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 12 14 15 15 15 16 15 15 15 14 14 14 14 14 13 12 11 9 8 7 6 8 10 11 11 11 9 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 11 12 11 10 9 10 10 11 10 10 9 9 9 9 10 11 12 11 9 7 7 8 9 10 12 12 11 9 8 7 7 8 9 10 9 7 6 5 5 3 3 3 4 4 5 7 9 10 10 10 9 8 6 5 3 2 3 5 7 8 10 10 10 10 9 7 7 7 8 8 9 10 12 13 14 13 12 10 8 7 7 8 9 10 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 10 12 15 16 17 17 18 17 16 15 14 13 12 12 13 13 13 12 10 9 7 6 7 8 9 11 12 11 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 7 7 8 9 9 10 9 8 7 7 7 8 10 11 11 10 8 7 7 6 4 3 3 4 5 6 7 8 9 10 11 10 9 7 5 3 2 2 4 5 7 8 8 9 8 8 7 7 8 7 7 8 9 10 11 12 12 11 10 8 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 12 14 15 17 18 20 20 19 16 14 11 11 11 11 12 12 12 11 10 8 6 6 6 7 9 11 12 10 9 8 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 7 7 7 7 7 nan
nan 9 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 10 12 13 13 12 9 8 9 8 5 4 4 5 6 7 7 7 8 10 11 11 10 8 7 5 4 3 3 4 5 5 5 5 6 7 8 9 9 8 7 7 7 8 9 9 10 10 9 8 8 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 9 10 12 13 13 13 15 18 21 21 19 16 13 11 10 10 11 11 12 12 11 9 7 5 4 5 8 11 12 12 11 10 8 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 7 7 7 7 nan
nan 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 8 8 9 9 11 12 14 13 12 10 10 10 10 7 5 4 5 7 8 7 7 7 9 11 12 11 10 9 8 7 5 4 4 4 4 3 4 5 7 9 10 10 8 8 7 7 7 7 7 8 9 10 9 9 9 9 9 9 9 9 7 7 7 7 8 8 8 8 8 8 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 8 9 10 11 11 10 11 13 17 20 21 21 17 13 11 10 10 10 11 13 12 10 8 6 4 4 6 8 10 12 13 11 9 8 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 7 7 7 7 7 7 nan
nan 8 8 9 9 10 11 11 12 11 11 10 10 9 9 10 10 10 11 11 12 12 11 11 10 8 8 8 10 11 11 11 11 12 12 11 10 10 11 11 10 7 5 5 7 7 6 6 6 8 11 12 11 11 10 10 9 7 5 4 4 4 4 4 6 8 10 10 10 8 7 7 7 6 5 6 8 10 11 10 10 9 9 9 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 8 8 9 11 10 9 8 9 11 15 19 21 19 16 14 12 11 11 12 13 13 12 10 8 5 4 4 5 8 11 13 13 11 10 8 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 7 7 7 7 7 nan
nan 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 10 8 8 8 9 10 11 12 11 10 10 9 9 9 9 10 11 11 10 8 7 7 6 6 6 6 7 9 11 11 11 11 11 11 8 6 5 5 6 6 6 8 9 10 10 8 7 5 6 7 6 5 5 8 11 11 11 10 10 10 10 10 9 8 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 10 10 8 6 5 5 7 12 17 18 17 15 14 12 12 13 13 13 12 11 8 6 4 3 3 5 9 11 13 12 11 8 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 7 7 7 7 7 nan
nan 11 11 11 10 10 11 12 12 13 13 13 12 12 11 11 11 10 9 9 8 8 9 8 7 7 8 8 9 10 11 11 10 9 9 9 8 8 9 10 10 10 10 9 7 6 6 6 6 7 8 10 10 11 11 12 11 9 7 7 7 7 7 8 10 11 11 10 7 5 5 6 6 6 5 5 7 9 10 10 11 11 10 11 10 9 9 9 10 10 9 9 8 8 7 7 8 8 7 7 8 8 9 9 10 11 11 11 10 10 10 11 10 10 10 10 10 9 10 10 10 9 9 9 9 8 6 4 3 3 6 11 14 15 15 14 12 11 11 10 11 11 10 9 7 5 4 3 4 6 9 11 12 11 9 8 7 7 7 7 8 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 nan
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nan 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 10 10 11 10 9 9 9 10 11 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 10 10 10 9 10 11 11 11 11 11 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 nan
nan 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 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 7 8 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 10 11 12 12 12 12 13 13 12 11 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 11 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 11 11 12 12 13 12 12 13 13 12 13 14 14 14 13 13 13 13 13 12 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 12 13 14 14 14 14 13 12 11 10 9 9 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 11 11 10 9 9 10 11 13 14 14 13 13 13 13 14 14 14 13 13 13 13 13 13 14 14 13 13 13 12 12 12 12 11 10 10 9 8 8 8 9 9 10 9 9 10 10 10 10 10 10 10 nan
nan 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 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 9 9 9 8 8 8 8 8 8 8 9 11 12 13 14 16 16 16 16 16 15 13 11 10 10 10 10 8 7 7 8 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 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 10 9 9 9 9 10 10 11 12 12 11 11 10 10 11 13 13 13 12 12 12 13 12 11 10 10 10 10 9 9 10 11 10 9 9 10 10 10 10 10 10 10 9 8 8 9 10 12 13 12 11 11 10 10 11 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 11 12 14 16 18 20 21 23 24 22 18 15 14 14 13 10 8 7 7 8 9 9 10 11 12 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 9 7 7 7 7 7 7 7 8 8 7 7 8 9 9 10 10 10 10 10 10 10 11 13 15 15 13 12 12 11 11 11 11 11 10 10 nan
nan 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 11 12 12 12 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 12 13 15 16 17 18 20 24 26 26 25 23 21 20 18 15 12 9 7 8 9 9 10 10 11 10 10 9 9 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 10 10 10 9 9 8 9 10 10 11 11 10 10 10 10 9 8 7 7 7 7 7 8 8 8 7 7 8 9 10 11 11 11 12 13 14 13 13 14 14 13 12 12 13 13 13 12 12 12 11 11 nan
nan 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 11 14 16 17 16 13 11 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 9 9 9 11 14 15 15 15 14 14 16 19 21 23 24 24 24 24 22 19 15 12 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 10 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 10 10 10 11 14 16 16 16 15 15 14 14 14 15 16 16 16 15 14 13 13 12 nan
nan 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 13 15 18 19 19 18 15 13 11 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 8 6 5 7 9 11 12 12 12 11 11 12 13 14 16 19 21 23 25 26 25 22 20 18 17 16 14 11 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 7 9 10 11 11 10 10 9 9 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 11 13 14 14 14 16 17 17 16 15 15 15 15 15 15 14 13 13 13 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 15 17 18 19 19 17 15 12 10 9 8 8 9 9 9 9 9 8 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 6 3 1 0 2 5 7 8 9 10 10 10 10 10 10 11 13 16 20 23 25 27 27 26 25 23 20 17 15 14 13 13 13 13 13 12 11 11 11 11 11 11 10 10 10 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 11 11 10 10 10 10 10 10 9 8 7 6 5 7 9 10 11 10 10 10 9 9 9 8 9 9 9 8 8 8 8 8 9 9 9 9 10 11 11 10 10 11 13 15 15 12 9 7 6 8 9 10 11 12 13 13 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 13 14 16 18 19 18 16 13 10 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 6 2 -1 -3 -3 -1 -0 1 3 5 7 9 10 10 9 9 8 9 11 13 15 18 21 23 24 24 24 23 21 19 17 15 15 14 14 13 12 12 12 12 12 11 9 9 10 11 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 10 11 11 11 11 11 11 10 9 7 6 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 10 10 11 9 5 2 2 3 5 7 9 11 12 13 13 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 13 15 16 17 16 14 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 9 9 8 6 3 1 -0 -1 -2 -1 -1 -1 1 4 7 9 10 9 8 7 7 7 8 8 10 12 15 17 18 20 21 21 19 17 15 14 14 13 12 11 12 13 13 11 9 8 10 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 10 9 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 9 7 4 1 1 3 7 9 10 11 13 13 13 13 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 10 10 11 12 13 14 15 14 12 10 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 7 6 5 4 4 2 -0 -1 1 4 7 8 8 7 6 6 6 6 6 7 8 10 12 14 17 19 19 18 17 16 14 13 11 10 11 13 14 12 10 8 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 8 8 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 6 2 -1 -1 2 7 10 12 13 13 13 13 13 13 nan
nan 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 11 10 9 9 9 10 10 10 10 11 11 11 12 14 14 13 11 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 12 11 11 10 7 3 1 -0 1 3 4 5 5 5 6 6 6 6 7 8 9 11 13 15 17 18 18 18 17 15 13 10 10 11 13 12 11 9 9 10 9 9 9 9 9 9 9 8 9 10 10 10 10 10 10 9 9 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 7 7 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 1 -3 -3 0 5 9 12 13 13 13 13 13 13 13 nan
nan 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 12 11 10 9 9 9 10 10 10 10 10 10 11 11 13 15 14 12 9 8 7 8 8 8 8 8 8 7 7 7 6 6 7 8 8 9 9 9 8 7 8 9 10 10 10 10 10 11 13 14 14 11 7 3 -0 -1 -1 1 3 4 5 6 6 7 7 7 8 9 11 12 14 15 16 17 17 17 15 13 11 10 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 4 -0 -1 0 4 7 10 12 12 13 13 13 13 13 13 nan
nan 9 9 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 11 13 15 15 14 10 7 7 7 7 7 7 7 6 6 6 6 5 5 6 7 8 9 9 8 7 7 7 8 9 9 8 7 6 6 8 11 13 14 12 8 4 0 -2 -3 -1 1 3 5 5 5 5 6 6 7 8 10 11 12 12 13 14 16 16 16 14 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 9 8 8 8 8 8 8 9 10 12 12 11 10 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 7 7 7 8 10 11 12 12 13 13 13 13 13 nan
nan 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 8 6 6 7 8 9 9 9 9 9 9 10 10 11 14 16 15 12 9 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 6 4 2 1 3 5 8 10 12 11 9 6 1 -2 -4 -3 -1 1 2 2 2 3 4 4 4 6 8 10 10 10 11 13 14 16 16 16 14 13 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 9 10 11 11 9 9 9 8 8 9 10 10 11 10 9 10 10 9 10 10 10 10 10 10 10 11 12 13 10 8 7 8 10 11 12 13 13 13 13 13 nan
nan 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 9 8 6 4 4 6 7 8 8 8 8 9 9 9 9 10 12 15 15 13 10 8 7 7 8 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 8 7 5 3 2 1 1 2 4 6 8 10 11 11 10 7 3 0 -1 -2 -1 0 0 1 1 3 4 2 2 3 5 7 7 7 9 10 12 14 16 16 16 16 14 12 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 8 7 7 8 9 11 12 12 12 10 10 10 10 10 10 10 10 11 11 10 10 12 13 11 7 5 5 7 10 12 12 13 13 13 13 13 nan
nan 7 7 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 9 9 10 11 13 14 12 10 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 5 4 3 3 5 6 7 7 9 10 11 11 10 9 7 6 4 2 2 3 3 3 4 5 6 4 2 1 2 2 3 3 3 4 6 9 11 13 15 16 14 11 8 8 8 9 10 9 9 9 9 9 9 10 10 10 9 8 8 9 11 12 12 10 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 11 10 9 9 9 8 8 7 7 8 10 12 12 13 12 11 11 10 10 10 10 10 10 11 11 10 10 11 9 6 3 2 4 8 12 13 13 14 14 14 14 14 nan
nan 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 9 10 11 12 11 10 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 6 6 7 7 6 5 5 7 8 9 10 11 13 12 11 9 8 8 8 8 7 6 6 6 7 8 9 8 7 6 5 3 2 1 2 2 2 2 3 5 8 10 12 11 8 6 6 7 8 9 9 9 9 9 9 10 10 11 11 9 7 7 8 11 12 12 10 9 8 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 9 9 8 8 9 10 11 13 13 12 12 12 11 10 10 10 10 11 11 11 10 10 10 7 5 3 2 6 10 12 14 15 15 15 15 15 15 nan
nan 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 8 8 7 5 5 5 6 6 7 7 7 7 7 7 8 8 10 10 10 10 9 9 9 9 9 9 9 9 7 7 7 8 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 7 7 7 8 9 13 16 16 13 10 8 8 9 9 9 8 7 7 8 9 10 9 9 8 7 6 5 4 5 6 6 5 5 6 8 9 10 9 8 7 7 7 8 8 9 9 10 9 10 10 11 12 12 10 8 7 9 11 13 12 11 11 11 11 11 12 12 12 11 11 11 9 8 8 8 10 11 11 10 10 10 11 11 10 10 8 8 9 10 11 12 12 12 12 11 10 9 9 10 11 11 11 11 10 10 9 9 8 7 7 9 11 13 15 16 16 16 16 16 15 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 6 5 5 6 7 6 5 5 5 6 6 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 8 7 6 6 7 8 10 10 10 8 7 5 7 12 16 18 17 14 11 10 9 10 10 9 8 7 8 10 11 11 10 9 8 8 7 7 7 8 9 9 9 9 10 11 11 11 10 9 9 9 10 9 10 10 9 9 9 9 11 12 12 10 9 9 11 12 13 12 11 12 12 12 12 12 12 12 11 9 8 6 5 5 7 9 10 10 11 11 12 12 11 10 9 9 9 9 10 11 11 11 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 11 9 9 10 11 13 15 15 15 15 15 15 14 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 5 6 6 5 5 6 6 7 7 7 7 7 7 8 9 10 10 10 9 8 8 9 9 10 10 9 8 8 9 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 10 11 11 10 7 4 5 10 14 18 19 17 14 11 10 9 10 9 7 6 6 9 12 13 12 10 9 9 9 7 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 6 7 9 9 8 8 8 9 11 12 11 10 10 10 11 11 10 10 9 8 8 6 5 3 3 5 7 8 8 8 9 11 12 12 11 9 8 9 10 10 10 10 10 10 9 8 7 8 8 9 10 11 11 10 9 9 10 10 11 10 10 10 10 11 12 14 14 14 13 13 12 12 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 4 4 5 6 7 7 7 7 7 7 8 8 9 11 12 11 10 9 9 9 9 9 9 8 8 9 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 9 9 10 11 10 7 4 4 7 11 15 16 16 15 13 10 9 9 9 7 6 6 8 11 13 13 11 11 10 9 6 4 5 6 7 8 8 9 9 9 9 9 9 10 10 8 7 5 4 4 5 5 6 7 6 5 5 6 7 8 9 9 9 8 8 8 8 7 7 7 7 6 5 4 4 5 6 8 8 8 8 9 12 13 12 11 9 8 9 9 9 10 10 10 10 10 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 6 4 3 3 5 6 7 7 7 7 7 8 8 10 12 13 13 13 12 11 11 10 9 8 8 9 9 10 10 9 10 10 11 12 12 11 11 11 10 11 11 11 11 9 9 9 10 9 5 2 3 5 9 12 13 14 14 14 12 11 10 9 8 7 7 9 11 12 12 12 11 11 9 6 4 3 4 6 7 8 8 8 8 8 7 7 8 7 6 5 4 5 5 6 7 8 7 6 6 5 5 6 6 7 7 7 7 6 6 5 5 6 7 8 7 6 6 6 7 8 9 9 9 10 11 12 12 12 10 9 8 8 8 9 10 10 10 11 11 10 9 8 8 9 9 9 9 9 9 9 10 11 10 10 11 11 10 10 9 9 9 9 9 8 8 8 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 5 3 3 4 6 7 7 7 7 7 8 8 9 11 12 13 13 12 12 11 10 9 8 8 9 10 10 10 10 11 12 12 11 10 10 10 11 12 12 12 12 11 10 9 9 10 8 4 1 2 4 8 10 11 12 14 15 13 11 9 8 8 9 10 10 11 11 12 12 11 10 9 8 7 5 4 6 7 8 9 9 8 8 7 7 7 7 7 6 7 8 9 10 10 10 10 10 9 8 8 7 6 6 6 6 6 6 5 5 5 6 7 8 7 7 7 8 8 9 10 10 10 10 11 11 11 10 10 9 8 8 8 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 10 11 11 12 11 11 12 10 9 9 8 7 7 7 7 7 7 8 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 5 3 2 3 5 7 7 7 7 7 7 8 9 11 12 11 10 10 10 10 9 8 8 8 9 10 10 10 11 12 13 12 10 8 7 8 9 11 12 13 13 12 10 9 9 10 8 3 1 1 4 7 9 10 12 15 15 13 11 8 8 9 10 10 9 8 9 10 11 10 8 8 9 10 8 7 7 7 8 9 10 9 9 8 7 8 8 8 9 10 11 12 12 13 13 13 13 13 12 11 10 9 8 8 8 8 8 7 7 8 8 8 7 7 8 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 10 10 10 11 12 12 12 12 11 11 9 10 10 8 8 8 8 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 6 5 3 2 2 4 6 7 7 7 7 7 7 10 12 13 12 10 8 8 8 8 8 8 9 10 11 11 11 12 13 13 12 10 8 7 5 6 8 10 11 12 12 10 9 9 9 6 3 2 3 5 7 8 10 12 14 15 13 11 9 9 9 9 8 6 5 6 9 9 9 8 8 10 11 11 10 9 8 8 9 10 9 9 8 8 9 9 9 11 12 13 14 15 15 16 16 16 16 15 15 14 13 12 11 11 10 10 10 10 9 9 8 7 8 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 11 9 9 9 10 11 11 10 10 10 9 9 9 9 10 10 11 12 13 13 12 12 11 10 10 10 10 10 11 13 14 14 13 13 12 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 4 2 1 3 6 7 7 7 7 6 7 9 13 14 14 11 8 7 8 8 8 9 9 10 11 11 11 11 12 13 13 13 11 8 4 3 5 7 9 11 12 10 9 8 7 5 3 3 4 6 7 8 9 12 14 15 14 12 11 9 8 6 4 3 4 5 7 9 9 9 9 11 12 13 13 10 8 8 8 9 8 8 9 10 10 10 10 12 14 15 16 17 17 17 17 17 16 16 17 17 17 16 14 12 11 11 11 12 12 12 11 11 11 11 12 12 11 10 10 10 10 11 11 12 13 14 14 14 14 12 9 8 7 8 10 11 11 10 10 9 9 9 8 9 10 11 12 12 13 12 12 11 11 11 10 10 11 14 17 18 17 17 17 17 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 6 3 2 2 4 6 7 7 7 7 7 9 12 15 15 11 7 6 7 8 9 9 10 10 11 11 10 10 11 12 14 14 12 9 5 3 3 4 6 9 11 10 9 8 7 5 4 5 6 7 7 8 10 12 14 15 15 14 12 9 6 4 3 3 5 6 7 8 9 10 11 12 13 13 12 9 7 8 8 8 8 8 10 10 10 10 11 12 13 15 16 17 17 17 16 15 14 15 17 19 20 19 17 15 14 14 14 14 14 14 15 15 14 12 11 10 10 10 10 11 11 12 12 12 13 14 14 15 14 11 8 6 5 7 9 10 10 10 9 9 9 8 7 7 8 10 11 11 12 13 13 12 11 11 9 9 10 13 15 15 15 17 19 20 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
7 7 6 6 6 7 8 7 6 5 4 5 5 5 4 4 3 3 4 3 3 2 2 1 1 1 1 1 1 0 0 1 1 1 2 2 2 3 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 2 3 3 4 7 10 14 20 24 31 52 106 187 313 424 413 308 197 151 128 116 116 132 158 183 191 191 182 166 146 130 114 96 78 59 38 27 21 19 18 17 17 17 19 25 29 32 31 26 25 26 27 30 33 33 32 33 33 35 28 23 21 21 21 23 27 30 27 21 19 16 11 9 9 11 11 9 8 8 9 10 9 10 10 11 10 9 8 8 10 12 14 15 17 16 15 15 15 15 13 11 10 9 9 8 8 9 12 16 21
6 7 7 5 5 7 10 9 9 8 6 5 4 4 4 4 3 3 4 4 3 2 1 0 0 1 1 1 1 1 0 0 1 1 1 2 2 2 2 2 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 1 3 4 9 12 15 21 60 119 183 270 340 324 270 204 163 129 97 89 106 131 151 172 178 171 158 142 128 112 95 75 53 36 27 23 20 20 20 21 23 25 28 31 32 26 23 24 25 30 33 33 31 32 38 36 28 25 24 23 23 25 30 32 30 26 21 19 18 15 15 15 13 11 9 8 9 9 10 9 9 10 8 7 9 12 14 18 19 18 17 16 17 16 16 13 11 9 8 8 9 10 10 11 15 19 20
6 6 6 5 5 7 9 10 11 10 9 7 5 5 5 4 4 3 4 3 2 1 0 0 0 0 0 1 1 1 1 1 0 0 1 2 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 30 74 121 175 222 233 251 229 188 138 88 69 63 78 104 130 150 160 160 152 138 122 106 87 66 46 33 29 23 23 25 27 28 29 30 32 35 30 24 22 24 28 31 31 29 28 27 26 24 24 25 27 28 23 21 25 27 26 27 28 29 30 28 24 21 20 16 12 10 8 8 8 7 7 8 11 15 19 20 22 22 20 19 18 16 15 13 10 8 8 8 9 11 12 13 15 20 23 20
5 5 5 5 5 6 8 9 11 11 10 8 7 7 8 6 4 3 2 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 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 1 1 3 15 40 74 124 155 165 192 207 196 161 106 70 54 56 68 92 120 140 149 151 142 128 113 95 76 57 41 36 29 26 27 30 32 32 33 36 39 37 31 27 25 25 27 29 24 26 24 22 22 22 24 27 31 27 26 25 25 26 29 29 29 31 32 30 28 24 19 15 13 9 8 7 7 9 13 17 22 24 23 23 23 22 18 16 12 11 9 7 6 8 10 12 13 14 16 19 23 25 18
5 5 4 5 5 5 6 7 9 10 9 7 5 5 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 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 8 24 57 85 113 130 147 164 184 200 137 95 65 51 54 75 106 126 135 139 136 129 116 100 86 69 50 40 34 29 27 29 31 32 32 37 41 42 39 33 27 23 24 25 21 24 27 28 24 21 22 25 27 26 27 27 28 30 30 26 26 25 26 29 29 26 21 16 14 10 7 7 8 11 14 19 25 26 26 25 23 21 17 15 12 10 8 7 7 9 11 12 12 13 15 18 22 23 15
5 4 4 5 5 5 5 7 8 9 9 7 6 6 6 6 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 2 12 20 43 69 95 117 129 145 184 172 136 84 49 42 63 101 120 121 121 124 127 121 108 96 82 64 46 38 31 27 27 30 31 30 39 44 43 38 33 29 22 23 23 21 23 28 31 29 21 21 23 25 27 30 31 31 34 33 30 30 27 24 27 29 29 22 17 13 10 8 7 9 12 17 22 25 27 27 27 24 20 17 15 11 8 7 7 7 11 11 11 12 12 13 14 16 15 13
4 4 4 4 4 4 4 5 6 7 7 6 5 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 11 18 32 57 85 99 113 145 158 143 102 60 44 62 95 112 111 107 114 124 125 120 112 99 84 66 49 37 31 30 31 30 31 40 45 43 37 32 30 24 24 24 22 21 21 23 28 22 20 21 23 25 27 30 31 36 39 39 38 36 29 25 28 28 21 15 11 10 9 8 10 15 20 22 24 27 28 29 27 23 18 14 10 8 7 7 8 10 12 12 13 13 12 13 13 13 11
4 4 3 4 4 3 3 4 5 6 5 3 2 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 12 23 42 57 87 118 134 136 119 86 63 64 84 99 100 96 104 123 135 136 128 115 105 90 70 51 37 32 31 31 33 39 44 44 40 34 32 29 26 24 22 21 20 20 20 20 19 20 21 23 24 25 31 39 45 48 48 44 34 27 26 25 19 14 11 9 7 8 12 16 20 22 25 29 31 31 29 23 18 13 10 7 6 7 8 10 12 13 13 13 13 12 12 12 9
4 4 4 4 3 2 2 2 3 3 2 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10 23 51 84 99 105 109 97 78 74 76 85 89 93 106 127 144 147 140 132 125 113 95 73 44 37 34 34 38 44 49 49 44 39 35 32 29 25 21 22 21 19 18 18 19 18 20 21 22 25 32 40 47 52 54 53 40 33 29 25 19 12 7 7 9 11 15 19 21 24 28 31 33 31 28 25 19 15 11 8 6 6 7 10 13 14 14 14 14 13 13 13 9
4 4 4 3 3 2 2 1 0 0 0 0 0 0 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 0 0 6 19 46 73 90 100 99 91 88 78 73 71 72 85 114 150 163 161 156 151 141 127 108 66 47 37 36 42 54 60 60 52 46 40 35 31 28 25 24 22 19 17 17 18 18 18 19 20 21 24 34 46 54 54 57 47 39 35 32 25 12 9 10 13 16 20 25 24 24 29 32 31 27 24 22 19 16 13 9 7 7 9 12 14 15 17 21 22 19 16 14 9
4 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 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 1 6 24 50 69 81 90 97 94 80 63 53 53 56 92 139 168 181 186 182 175 169 149 105 67 44 36 43 60 70 69 62 54 45 39 35 32 31 30 24 19 16 16 17 17 17 19 19 19 22 30 43 55 56 58 54 47 40 39 30 18 13 15 19 23 28 32 32 34 33 30 25 21 18 17 15 14 12 9 7 7 10 12 15 16 19 25 28 22 18 13 10
4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 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 3 13 30 53 73 78 92 97 86 67 54 52 42 62 103 146 178 196 204 203 202 181 142 96 58 42 45 62 74 77 69 60 53 48 41 35 35 35 29 22 17 16 16 17 16 17 18 19 20 21 30 44 53 59 59 53 42 40 31 23 19 20 23 28 32 33 33 32 30 25 21 17 15 14 15 14 12 9 9 10 13 14 16 17 19 23 28 25 19 13 11
3 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 27 52 66 79 90 89 74 66 57 46 47 64 100 144 171 195 213 224 216 183 134 86 60 53 65 84 92 85 70 60 53 47 42 41 41 36 27 20 15 16 17 17 17 19 20 19 17 21 30 38 47 56 57 49 43 34 27 23 23 25 29 31 31 32 31 27 22 19 17 15 15 14 12 11 10 10 13 15 15 15 15 16 21 29 31 23 14 11
3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 23 42 60 74 87 92 73 62 58 49 41 54 96 128 160 190 215 226 217 182 133 95 73 75 89 99 96 87 73 61 53 49 49 48 43 34 25 18 16 15 15 17 19 21 18 19 20 22 25 32 44 52 54 51 44 37 32 29 31 31 31 32 32 31 28 23 19 18 18 17 13 11 11 11 12 14 15 14 14 14 16 20 24 24 19 13 10
3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 22 37 55 77 89 77 70 72 69 52 36 49 73 103 140 190 238 252 224 180 139 106 97 103 110 114 111 92 77 63 56 54 55 54 46 34 25 19 14 13 16 19 18 17 18 19 19 20 26 34 43 52 56 53 49 47 45 41 35 33 32 31 29 25 21 18 18 18 16 12 11 11 13 14 14 14 13 13 15 17 18 17 16 14 10 8
3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 1 2 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 1 2 6 15 34 56 71 78 79 79 79 72 49 34 38 60 93 136 188 226 226 202 174 149 134 130 131 133 133 117 99 82 70 64 61 65 59 47 36 26 19 13 15 16 16 15 16 17 18 18 21 27 35 47 56 59 58 54 47 40 34 32 31 31 29 24 20 18 17 16 13 11 12 13 14 14 13 12 12 14 16 16 14 13 14 12 9 8
4 4 2 2 3 3 2 1 0 0 1 1 1 1 2 4 6 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 1 5 15 28 44 62 75 79 83 88 73 52 39 42 60 85 119 151 175 185 183 177 172 167 156 157 158 148 129 109 95 82 76 75 69 60 49 38 27 21 18 18 16 15 15 15 15 16 18 23 30 38 47 51 57 60 51 42 38 35 30 29 27 23 20 17 16 15 14 14 13 13 14 14 13 13 13 15 15 14 13 13 15 13 11 9
8 5 2 2 6 8 7 5 8 11 14 9 5 8 10 9 6 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 1 3 9 20 36 52 65 77 94 92 85 72 58 52 62 83 87 114 135 152 174 201 211 197 198 194 184 166 147 129 113 102 92 82 72 61 50 37 29 24 21 18 16 15 15 14 15 16 20 27 33 35 34 44 49 48 47 47 40 31 28 24 21 20 16 14 15 15 14 14 14 14 14 13 14 15 17 17 14 13 15 17 15 13 11
7 4 1 1 5 9 12 14 16 17 15 10 7 11 13 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 15 28 40 50 65 81 92 95 94 88 58 64 79 90 98 110 132 177 212 215 213 216 216 208 194 177 163 142 119 99 83 69 58 47 39 32 25 22 19 18 16 16 16 17 20 26 29 29 28 31 33 35 37 38 34 28 23 20 22 25 19 16 17 16 14 14 16 15 14 13 14 18 21 18 13 15 17 16 15 14 14
3 1 0 0 1 5 13 19 23 29 27 22 13 9 9 7 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 1 4 10 16 24 36 50 63 75 89 136 102 79 75 81 89 89 92 135 177 211 236 250 253 249 244 244 237 207 166 133 102 78 61 48 41 35 29 25 23 22 18 16 17 18 19 19 21 25 28 30 32 31 31 28 26 24 21 22 27 30 23 19 16 13 14 17 18 14 13 14 16 19 21 17 14 16 17 16 15 15 16
7 1 1 0 0 3 10 15 18 25 26 25 21 14 8 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 4 7 14 21 30 43 52 92 108 108 96 84 86 85 78 94 137 203 265 293 288 278 276 295 314 301 247 189 134 96 69 52 43 37 32 27 27 25 22 18 16 17 20 19 19 21 23 26 31 32 32 31 32 29 23 21 32 30 24 19 16 15 18 22 21 17 16 17 18 19 18 15 15 17 17 16 15 16 18
10 5 5 4 4 7 10 11 24 13 6 13 18 16 8 3 0 0 1 3 3 1 0 0 0 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 1 2 5 9 18 28 52 77 100 112 98 88 83 73 70 93 155 242 296 315 307 297 318 362 381 343 265 186 131 94 68 53 43 34 29 28 27 25 21 17 16 18 19 19 20 20 21 23 25 28 31 33 32 24 19 25 27 23 19 18 21 24 24 23 21 20 18 17 18 17 16 17 18 17 15 16 18 19
10 10 10 9 9 6 2 3 30 12 3 7 13 14 11 10 1 1 5 10 9 3 0 0 0 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 1 5 14 29 46 69 101 104 96 88 77 70 77 107 175 252 308 316 310 325 370 417 419 363 281 205 143 97 67 49 39 33 29 28 27 24 18 17 18 19 20 20 20 20 21 21 23 25 25 24 21 22 26 27 23 18 19 23 23 22 22 23 22 18 16 18 18 18 19 20 17 18 19 20 20
13 13 12 11 6 4 10 2 10 9 10 12 14 12 7 10 2 4 11 15 11 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 1 4 12 25 42 73 91 104 103 84 65 69 82 114 176 249 292 297 302 338 403 465 472 423 334 230 145 90 66 51 41 34 29 29 28 24 21 19 19 20 22 21 21 21 20 21 21 21 22 23 25 30 31 25 19 18 19 20 21 23 25 26 21 20 19 19 18 19 19 21 23 22 21 20
9 10 12 8 2 0 0 0 1 2 5 12 16 12 5 3 1 5 10 12 8 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 1 4 11 24 45 72 99 93 56 36 46 70 84 124 190 243 258 258 282 380 456 513 539 502 367 240 157 104 72 53 43 35 33 29 25 22 21 19 20 21 22 23 23 22 21 22 22 23 26 29 32 33 28 21 19 19 20 24 30 39 33 25 21 19 19 19 18 18 20 20 19 19 20
5 7 10 7 2 1 1 1 1 0 1 7 14 11 6 2 0 2 3 4 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 2 5 13 27 51 77 80 56 44 55 83 89 104 137 175 212 212 218 258 334 436 546 608 506 394 281 182 108 70 56 46 40 33 27 24 23 21 21 21 22 23 23 23 23 23 23 24 27 31 34 34 29 24 20 18 19 24 36 48 44 31 21 19 19 20 19 21 22 22 20 24 21
18 7 4 4 3 2 3 2 1 0 0 1 4 5 3 1 0 0 0 1 3 3 2 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1 4 14 35 60 77 83 79 64 68 89 108 121 130 180 196 198 202 223 284 418 533 574 556 472 334 181 107 76 58 47 38 28 24 23 23 22 22 22 23 24 24 25 26 26 26 27 30 33 33 30 26 22 20 19 24 36 48 54 46 25 20 20 20 21 22 22 27 30 28 24
26 16 9 7 10 14 13 9 4 1 0 0 0 0 0 0 0 0 0 1 3 4 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 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 2 8 21 39 60 82 79 83 100 107 105 110 117 169 201 207 189 163 163 257 353 445 542 621 582 364 215 123 76 57 47 32 26 24 24 24 24 24 23 24 26 27 28 28 28 28 28 31 33 32 29 26 22 21 27 35 47 58 61 37 25 20 19 20 21 23 29 33 27 26
29 27 23 16 12 15 19 17 10 5 2 0 0 0 0 0 0 0 0 2 3 2 1 0 0 2 4 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 2 7 15 35 60 76 91 88 68 73 100 129 167 192 207 214 184 164 174 201 258 385 597 746 642 416 223 114 70 47 36 31 27 25 25 25 28 30 29 27 26 27 28 27 28 29 32 34 35 33 30 28 26 27 33 45 54 50 39 29 22 19 21 23 27 32 35 33 34
20 27 29 23 15 15 14 17 15 11 7 4 2 1 1 2 2 2 2 4 5 3 1 0 0 2 6 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 1 3 12 21 35 60 79 74 77 102 139 167 184 207 235 222 196 167 142 150 233 423 654 780 653 412 224 112 61 45 39 33 27 24 25 31 36 32 29 28 28 27 27 28 30 33 36 36 36 33 32 30 28 30 40 47 46 40 33 26 22 21 21 24 29 33 35 38
21 30 38 37 23 19 17 19 20 18 14 11 9 6 6 7 7 7 7 9 10 8 4 1 0 0 1 1 0 0 0 0 0 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 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 9 28 50 63 84 125 171 195 225 255 253 226 186 148 123 145 252 429 691 799 657 430 203 106 63 47 39 31 25 29 35 36 34 32 32 31 28 28 29 30 33 36 38 38 36 35 34 32 30 35 41 44 43 39 33 25 21 15 18 29 36 38 36
21 27 40 53 49 39 31 34 37 33 26 19 15 16 19 23 25 22 16 18 18 14 8 3 2 3 2 1 0 1 2 2 0 0 0 0 0 2 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 1 6 19 33 54 90 142 185 237 261 255 235 210 173 126 105 123 235 476 736 807 688 372 196 114 67 44 39 31 34 37 37 36 37 37 36 34 31 29 30 35 36 39 40 41 40 37 35 33 33 37 45 52 48 41 31 24 23 29 38 43 42 36
13 24 35 47 61 69 71 70 67 60 49 38 34 39 46 50 51 47 37 31 28 25 22 19 15 10 11 9 5 7 9 6 2 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 24 39 60 88 124 192 237 251 250 241 204 159 119 110 162 299 533 783 868 650 392 217 108 52 48 43 42 41 40 41 41 42 43 41 36 28 28 32 35 37 40 41 41 39 39 37 35 36 43 53 54 47 38 31 29 32 36 40 41 37
1 7 18 32 50 68 84 91 90 85 77 70 69 70 72 73 72 67 56 47 43 41 42 43 39 23 22 16 16 18 18 12 3 1 0 0 0 0 1 2 5 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 2 7 14 22 31 44 55 70 135 194 225 252 276 252 210 161 127 131 194 348 679 942 943 714 406 192 100 68 56 51 47 43 44 45 46 47 47 44 32 29 30 32 34 36 38 39 40 41 39 36 36 40 46 49 47 40 32 25 23 26 32 38 40
1 3 11 22 35 50 76 94 103 106 105 103 99 96 92 89 86 81 70 60 56 54 53 53 50 38 30 27 26 25 22 15 5 5 4 3 1 0 1 4 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 17 25 35 42 53 85 131 173 217 248 249 228 192 153 128 153 249 528 840 1040 1023 671 388 219 123 78 61 56 51 51 50 51 52 54 54 43 36 33 33 33 35 38 41 41 41 41 39 39 42 46 48 47 41 32 22 22 27 35 43 49
2 4 7 12 23 31 43 67 93 112 124 128 127 120 112 106 103 99 87 75 69 64 61 61 59 43 38 37 36 33 28 19 12 12 10 6 2 1 4 9 8 7 6 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 0 0 0 0 1 2 4 7 15 25 35 46 64 89 120 152 185 215 227 210 176 122 127 198 366 601 865 1163 935 672 424 234 130 82 69 63 59 58 58 58 58 54 48 42 38 35 34 34 36 36 37 39 41 42 41 43 46 48 49 46 39 37 37 39 45 50 54
1 1 2 5 14 21 31 48 69 91 113 129 134 132 130 127 125 123 117 106 92 79 70 62 46 41 51 57 57 54 43 25 18 15 11 6 3 6 11 9 6 6 8 11 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 22 32 43 55 77 100 130 166 195 196 201 162 140 160 229 352 587 886 986 922 716 430 243 140 92 73 67 67 67 65 63 59 55 50 45 41 38 36 36 35 35 38 42 44 44 45 46 49 53 51 46 43 42 44 50 55 56
1 2 2 3 6 12 21 31 42 57 77 104 122 135 143 148 153 158 159 145 123 100 83 73 68 70 75 73 67 56 37 23 18 14 8 4 5 15 17 13 6 4 8 14 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 19 36 48 62 76 93 127 186 183 192 176 145 126 147 219 414 673 927 1082 1027 724 468 264 137 87 78 75 74 72 71 68 64 59 55 50 44 42 40 37 36 40 43 45 46 46 46 50 54 52 49 46 43 44 51 54 54
1 1 2 2 3 6 12 19 27 35 46 69 94 118 140 158 174 189 191 180 151 116 89 79 78 79 81 77 70 60 43 24 18 13 7 4 9 17 18 15 10 6 7 16 18 19 18 13 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 2 7 25 40 54 66 77 90 110 123 149 153 138 131 133 176 288 477 743 1030 1174 1045 779 472 240 140 105 90 85 81 80 78 76 72 66 61 54 49 47 46 44 45 45 45 45 44 46 51 53 53 50 48 46 48 51 52 51
1 1 1 1 2 3 5 9 14 22 30 43 61 80 106 138 164 188 197 189 161 123 90 76 76 78 79 78 74 65 51 31 23 16 8 4 4 8 14 15 15 13 12 16 19 18 21 21 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 2 12 26 42 59 70 86 105 129 159 176 164 160 164 168 204 281 443 766 1067 1218 1050 717 432 258 162 119 103 98 95 90 84 79 76 74 71 68 66 57 52 51 50 47 46 47 49 53 56 57 54 52 51 50 51 52 55
1 1 1 1 1 1 3 5 8 14 23 34 45 58 80 110 138 164 182 185 167 135 103 89 86 86 86 84 80 72 60 49 35 22 12 7 4 5 9 14 17 17 15 17 17 12 16 22 20 9 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 1 6 17 33 51 66 93 132 173 208 227 182 186 219 188 131 139 219 458 809 1164 1213 917 619 385 248 167 129 117 113 107 100 94 88 84 80 77 73 64 59 56 52 46 46 47 53 58 62 63 60 57 55 53 52 53 54
0 0 1 1 1 1 3 5 8 16 30 43 55 65 77 93 113 134 156 175 178 161 136 120 112 107 102 95 88 81 72 66 49 29 15 11 13 15 14 16 18 16 14 14 14 10 11 16 17 11 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 1 4 14 26 41 59 85 115 151 193 209 177 183 185 149 99 84 114 225 503 889 1156 1081 809 540 361 252 184 142 128 125 118 109 101 94 88 82 76 72 67 62 53 52 52 55 59 64 65 65 63 62 62 60 58 56 54
0 0 0 1 3 5 9 15 21 30 45 59 70 77 82 90 100 113 135 166 188 188 172 157 146 136 124 112 102 94 88 77 58 35 17 12 16 18 18 16 13 9 7 9 10 11 11 12 12 7 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 3 13 24 35 49 67 92 128 163 166 174 181 171 136 93 78 90 117 272 573 921 1129 978 734 542 409 297 213 166 149 138 125 115 108 103 95 88 84 78 71 64 63 62 60 61 69 69 68 67 67 65 64 62 60 56
0 2 4 9 12 16 21 29 36 41 52 64 72 78 83 89 96 112 138 164 182 191 189 181 171 160 148 135 127 116 107 94 74 49 23 16 18 17 15 11 6 2 1 4 6 10 14 15 12 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 1 8 21 32 44 56 73 108 143 152 173 192 181 142 106 91 85 97 165 334 619 973 1046 941 775 603 461 352 267 207 168 144 132 126 120 114 109 103 94 84 76 70 67 67 69 74 72 72 71 68 65 65 64 62 59
1 4 10 17 19 20 24 29 31 35 43 51 57 65 74 84 95 109 122 136 152 166 173 175 172 168 162 152 142 133 126 114 99 78 50 33 21 15 11 8 7 5 5 3 4 7 10 12 10 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 5 16 28 41 56 70 85 113 129 150 180 189 160 138 125 118 119 138 210 474 815 1040 1071 935 741 608 497 397 301 216 176 166 155 143 132 127 122 113 101 92 85 78 76 77 75 73 72 73 67 67 67 66 65 63
2 5 10 14 15 14 14 16 14 16 21 28 35 43 55 70 78 83 85 87 96 116 131 136 135 133 129 123 118 113 112 110 105 95 76 52 31 21 16 12 12 9 4 2 3 4 4 4 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 1 3 11 22 33 49 70 82 101 117 127 146 164 178 184 187 188 184 179 202 394 701 966 1090 969 808 694 604 519 418 292 237 205 181 161 146 136 131 127 120 111 102 97 87 83 82 79 76 77 76 73 70 70 70 68
6 8 11 11 9 7 6 7 5 5 8 12 17 22 29 37 41 42 41 43 51 63 71 72 69 65 61 59 60 60 64 68 67 64 57 43 34 28 21 15 12 7 3 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 25 41 68 90 105 116 120 118 135 164 204 239 252 244 231 238 313 452 647 878 847 776 705 646 583 484 381 305 250 212 188 171 157 149 144 139 129 114 99 96 99 101 99 94 89 84 79 77 80 81 77
11 11 11 9 7 5 5 5 5 4 4 6 8 9 9 8 8 8 9 11 12 14 17 18 18 17 16 15 15 18 22 22 20 20 19 16 15 15 13 10 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 20 42 67 90 108 118 119 116 139 187 236 258 262 253 255 275 310 344 422 597 699 715 694 681 574 503 447 383 312 270 249 230 205 184 168 155 143 133 129 126 125 123 121 116 109 104 99 95 93 92 83
10 9 8 6 5 5 5 5 5 4 4 5 6 6 5 5 4 4 3 2 3 3 2 3 3 3 2 2 1 3 4 3 3 3 2 2 2 2 2 3 3 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 10 22 42 65 86 102 111 115 120 140 172 199 203 208 219 247 296 356 377 456 563 619 613 583 545 512 506 486 431 349 303 282 272 251 221 196 177 163 155 149 143 142 144 147 149 143 129 119 111 105 100 94
7 7 6 5 4 5 5 4 4 5 5 6 6 6 6 5 4 4 3 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 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 0 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 7 15 25 40 57 75 91 104 110 114 124 146 150 146 162 190 229 286 359 412 466 487 469 455 447 458 465 444 413 377 330 300 290 287 270 240 215 192 177 164 151 153 163 173 173 164 152 145 138 130 121 112 104
6 6 4 3 3 4 4 4 5 5 5 6 6 5 5 4 4 4 3 2 2 1 1 1 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 11 18 25 34 46 63 79 94 104 109 116 139 152 165 181 197 222 274 339 393 416 400 353 343 339 342 328 313 317 314 303 292 289 286 263 242 220 196 178 166 164 177 202 210 198 182 170 165 157 147 137 126 114
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