Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 5 5 5 6 8 9 10 9 9 10 10 11 11 11 10 10 10 10 11 11 11 10 9 8 8 8 9 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 9 9 10 11 12 13 13 13 12 10 9 8 8 9 9 9 9 9 9 8 6 6 7 8 9 10 8 7 7 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 6 4 nan
nan 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 9 9 10 10 11 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 5 5 5 7 8 10 10 10 10 10 10 9 9 10 10 9 9 10 10 11 10 10 9 8 8 9 10 10 10 10 9 8 8 7 8 8 8 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 12 11 10 9 8 8 9 9 10 10 9 8 7 7 8 9 9 7 6 6 6 8 9 10 10 10 10 10 10 11 11 11 10 9 9 8 9 9 9 10 10 10 9 7 5 nan
nan 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 5 5 6 7 9 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 11 10 10 10 9 8 8 7 7 7 8 8 9 10 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 9 9 10 9 9 10 11 13 13 13 12 11 10 9 8 8 9 9 10 10 10 9 8 7 7 7 7 6 6 6 6 7 8 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 9 10 10 10 9 6 nan
nan 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 5 5 6 7 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 8 7 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 10 11 12 13 12 11 10 9 8 9 9 9 10 10 10 10 9 8 6 6 6 6 6 6 7 8 8 8 8 10 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 10 10 9 7 nan
nan 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 10 11 12 12 11 11 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 5 5 5 6 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 7 7 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 10 10 10 9 8 8 9 10 10 9 9 11 12 13 13 11 10 9 9 9 9 9 9 10 10 10 9 8 7 6 5 6 6 6 7 8 9 8 9 11 12 12 12 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 nan
nan 8 8 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 7 7 7 8 8 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 7 6 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 10 9 9 9 8 9 9 9 8 8 8 8 9 9 9 9 8 7 7 8 9 9 9 10 12 13 13 12 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 9 9 10 11 12 12 13 12 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 10 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 9 9 9 9 9 8 8 8 9 9 8 8 7 7 8 8 9 9 9 10 12 12 12 10 9 9 9 9 8 8 8 8 9 9 9 10 9 8 7 6 6 7 8 9 10 10 11 12 13 13 12 11 10 9 9 9 9 9 8 8 7 7 7 8 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 9 10 10 10 10 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 9 9 8 7 7 7 7 8 9 9 10 10 10 8 7 7 7 7 9 10 11 11 12 12 13 12 12 11 10 9 9 9 9 8 8 7 7 7 7 7 7 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 5 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 7 8 8 8 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 9 10 10 10 9 8 7 6 6 8 10 12 12 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 6 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 8 7 5 5 7 10 12 12 11 11 11 11 11 11 10 11 11 11 10 9 8 9 9 9 9 9 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 7 7 6 5 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 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 8 8 9 9 10 9 8 6 5 5 7 10 12 12 11 10 10 10 10 10 10 11 12 12 10 9 8 9 9 9 9 8 8 nan
nan 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 7 6 5 5 5 6 7 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 5 6 8 10 11 11 10 10 10 10 9 10 10 12 12 12 10 9 8 8 8 8 8 7 7 nan
nan 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 10 9 9 10 11 11 12 11 10 9 8 8 7 7 7 7 8 nan
nan 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 5 6 7 8 9 10 10 11 11 10 10 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 10 10 10 10 9 9 10 10 11 11 10 10 9 9 8 7 7 7 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 5 6 6 7 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 9 8 8 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 8 7 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 5 5 6 7 8 10 10 11 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 7 8 9 10 11 11 11 11 11 11 10 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 7 7 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 9 9 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 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 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 8 8 7 7 6 6 5 5 6 7 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 7 8 10 11 12 13 13 13 13 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 8 8 8 8 8 8 7 7 6 6 6 7 8 9 11 11 12 11 10 10 9 10 10 10 10 10 10 10 10 9 9 7 7 8 10 13 16 17 16 15 14 13 13 12 12 12 12 12 12 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 10 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 7 7 7 7 8 8 8 7 7 6 6 6 7 8 9 11 11 12 11 10 10 9 9 9 9 9 9 10 10 10 9 7 7 8 10 15 20 21 21 19 16 14 13 12 12 13 14 14 14 14 13 13 12 10 9 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 9 10 11 12 nan
nan 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 10 8 7 6 5 5 6 7 7 8 8 8 7 7 7 7 7 8 9 10 11 12 11 10 10 9 8 8 8 8 9 9 10 9 8 7 7 10 15 20 22 23 21 17 14 12 10 10 11 12 12 13 13 14 14 13 12 10 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 7 7 8 9 10 12 nan
nan 8 8 9 9 9 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 12 13 13 12 10 8 6 5 4 4 4 5 6 8 9 9 8 7 7 7 6 7 7 9 10 11 11 11 10 10 9 8 8 8 9 9 10 10 9 8 7 9 12 15 17 17 16 13 11 9 7 7 8 9 10 10 10 11 12 13 13 11 10 9 8 7 7 6 6 6 5 5 6 6 7 7 6 6 6 6 6 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 7 6 7 8 10 12 nan
nan 8 8 9 9 9 9 10 9 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 11 13 14 14 12 10 8 7 6 4 4 4 4 5 7 9 9 8 8 7 7 6 6 7 8 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 11 10 9 7 6 6 5 5 5 7 8 9 9 8 8 9 11 12 11 11 10 10 9 8 8 8 7 7 6 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 8 8 8 9 10 10 11 11 11 10 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 8 10 11 nan
nan 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 11 13 14 13 11 9 8 7 7 6 5 4 4 5 7 8 9 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 9 8 5 3 2 2 2 2 4 6 7 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 9 9 9 10 10 9 7 6 6 7 7 8 9 8 7 7 6 6 7 7 8 8 8 9 10 10 11 11 11 11 10 9 7 6 6 7 7 7 7 8 8 8 7 7 7 7 8 9 10 nan
nan 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 11 12 13 12 10 9 7 7 7 7 6 5 4 5 6 7 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 7 5 2 1 -0 0 2 4 6 7 7 7 7 8 9 9 10 10 10 10 9 8 7 7 9 10 11 11 11 10 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 10 10 9 8 7 7 7 7 8 8 9 8 8 7 7 7 8 8 8 nan
nan 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 8 10 11 12 11 10 8 7 7 7 7 6 5 4 5 6 7 8 9 8 7 6 7 7 7 7 8 8 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 7 5 3 2 2 3 4 5 5 5 6 6 7 8 8 9 10 10 10 10 9 9 8 9 10 10 10 10 10 9 9 9 9 8 9 9 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 10 9 9 9 8 7 7 7 7 nan
nan 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 11 11 10 8 7 7 7 7 6 5 5 4 5 7 8 9 9 8 7 7 8 8 7 7 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 8 7 6 5 5 5 6 6 5 5 5 5 5 6 7 8 9 10 10 11 10 10 9 9 10 10 9 9 8 8 9 9 8 8 8 8 9 9 8 7 6 5 5 6 7 8 9 8 8 8 9 9 8 8 9 9 9 10 10 11 12 12 11 11 11 10 10 9 8 8 7 6 nan
nan 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 11 11 11 11 9 8 8 7 7 7 6 6 5 5 4 5 7 8 9 8 8 8 8 8 7 7 7 7 7 9 10 10 10 10 10 9 10 9 9 9 9 9 8 7 6 6 8 8 8 8 7 7 7 7 7 6 6 5 5 5 5 6 7 8 9 10 11 10 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 9 8 8 6 5 5 6 8 9 10 10 9 9 9 9 9 9 9 9 9 10 12 13 13 14 13 13 11 10 10 9 9 9 8 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 12 12 12 13 13 12 12 12 12 12 13 13 13 12 12 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 12 12 12 11 10 9 8 8 7 7 7 7 6 5 4 4 5 6 8 8 8 8 8 7 7 7 6 6 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 5 6 6 7 8 9 10 10 10 10 10 10 11 11 10 10 9 8 7 7 8 8 8 8 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 10 10 11 11 12 13 14 14 14 14 14 13 11 9 8 8 8 8 7 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 13 15 15 14 12 11 10 9 8 8 8 8 7 6 4 3 4 5 7 8 8 7 7 7 7 7 7 6 6 6 7 7 8 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 12 11 10 10 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 10 11 12 13 13 14 15 15 14 14 15 14 13 11 9 8 8 8 8 8 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 13 13 12 12 11 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 12 15 17 18 16 14 12 11 10 9 9 9 8 8 7 6 5 5 6 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 8 8 9 10 11 12 12 13 14 14 14 14 13 12 11 9 8 6 6 5 6 6 7 7 7 6 6 6 7 7 8 9 9 11 12 13 14 15 16 16 15 15 14 13 12 10 9 9 8 9 9 9 10 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 11 13 16 18 19 17 14 12 11 10 10 10 9 9 9 8 7 7 7 8 8 9 9 9 9 9 8 8 7 6 6 6 6 7 8 8 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 6 6 6 6 6 6 7 7 8 8 9 10 11 12 13 13 14 14 13 12 11 10 9 8 7 6 6 6 7 8 8 8 7 7 7 7 8 8 8 9 10 11 12 14 15 15 15 15 13 12 11 10 10 10 10 10 11 11 12 12 13 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 12 12 11 11 11 11 12 12 12 13 13 13 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 11 13 15 18 19 16 14 12 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 6 6 7 8 8 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 7 6 6 5 6 6 7 7 8 8 8 9 10 12 13 13 13 12 11 10 9 9 8 7 7 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 10 11 13 14 15 14 12 11 9 9 8 10 11 12 13 13 12 12 13 14 nan
nan 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 12 12 12 12 12 13 12 12 12 11 11 11 11 12 11 11 11 10 10 10 9 9 9 9 10 12 15 18 18 16 14 12 11 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 10 11 11 11 10 10 9 9 9 9 9 10 9 8 8 8 9 9 9 8 8 7 6 6 6 7 7 7 8 8 8 8 11 13 14 15 14 11 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 5 6 5 4 4 6 7 8 9 10 12 13 13 12 10 9 9 8 9 11 13 14 14 13 12 11 11 13 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 10 9 9 9 10 11 14 17 16 14 13 11 10 10 10 10 10 9 9 9 10 12 13 13 12 11 10 9 7 7 7 7 7 8 8 9 9 9 10 9 9 8 8 8 8 9 11 12 11 11 10 9 9 9 10 11 10 9 9 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 9 12 14 16 16 12 8 6 5 4 4 3 3 4 4 4 3 2 1 0 0 1 2 3 4 3 3 4 5 7 8 9 10 11 12 11 10 9 9 9 10 11 12 13 12 11 10 10 10 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 13 15 15 13 12 11 10 10 10 10 9 8 6 6 8 9 11 12 12 11 10 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 10 11 12 12 12 11 10 10 11 13 13 11 11 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 12 14 15 15 11 7 5 4 3 3 2 2 3 4 4 2 1 -0 -0 1 2 3 4 5 5 4 5 5 6 6 6 7 8 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 12 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 13 14 14 13 11 10 9 10 10 10 9 6 3 3 4 6 9 11 12 11 11 10 9 9 8 8 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 13 11 11 11 13 13 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 9 11 12 13 12 11 10 9 7 6 5 5 4 4 5 5 5 4 3 4 5 6 7 7 8 8 8 8 7 7 6 5 6 8 9 10 10 9 8 7 7 7 6 6 6 7 8 8 9 9 nan
nan 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 9 10 10 12 14 16 15 12 10 10 9 10 9 8 4 3 3 4 6 8 10 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 9 11 12 11 11 10 9 9 10 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 9 8 7 7 7 8 10 11 12 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 10 11 11 11 10 9 9 8 9 10 10 9 8 8 7 6 6 6 5 6 7 7 7 7 8 8 nan
nan 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 14 14 15 14 14 14 14 13 13 13 12 11 11 11 11 10 10 10 10 12 15 17 16 14 12 10 10 10 9 7 3 2 3 5 8 9 10 10 11 11 11 12 12 12 13 13 12 11 10 9 9 9 10 13 13 13 11 9 7 7 8 9 10 10 10 9 8 8 8 8 9 10 11 11 11 10 10 11 12 12 12 11 10 9 9 9 9 10 11 11 11 11 11 12 12 11 10 9 9 9 8 9 9 10 11 11 11 11 11 10 11 11 12 13 13 13 12 11 11 12 12 11 9 7 6 5 4 4 5 6 7 7 8 7 7 7 7 7 nan
nan 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 15 14 14 13 13 12 12 11 11 11 11 13 16 18 18 16 13 12 11 11 10 7 4 3 3 4 8 10 11 11 12 12 11 11 11 12 14 15 15 13 12 11 11 12 13 15 16 14 12 9 6 5 6 7 8 9 9 8 8 7 7 8 8 10 11 11 11 10 9 10 11 12 12 12 12 12 11 11 11 12 12 11 10 9 9 9 9 9 8 8 8 9 10 10 12 12 13 13 13 12 12 11 12 13 13 13 14 14 13 12 12 13 12 11 9 6 4 3 3 4 6 8 8 9 9 8 8 8 8 8 nan
nan 8 8 9 9 10 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 12 12 13 13 14 14 14 14 13 13 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 15 15 15 15 15 16 16 16 15 15 14 12 11 10 11 11 13 14 17 19 19 17 15 13 13 12 11 8 6 3 2 4 7 9 11 12 13 13 11 10 9 10 12 14 15 15 14 14 14 15 16 17 17 17 15 11 6 5 4 5 5 7 7 8 7 7 7 8 10 11 12 12 11 9 9 10 11 12 13 13 13 13 12 11 11 11 11 10 9 8 7 7 7 6 6 7 7 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 11 9 6 4 5 7 8 9 10 9 9 9 9 9 8 9 nan
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nan 7 10 11 12 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 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 9 8 8 9 9 9 10 10 11 11 10 9 8 7 6 7 7 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 nan
nan 8 10 12 13 13 11 9 8 8 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 nan
nan 9 11 13 14 13 10 9 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 11 10 10 9 nan
nan 10 13 15 15 13 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 9 nan
nan 13 15 16 17 14 11 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 9 9 9 9 nan
nan 14 16 17 17 13 9 7 6 6 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 nan
nan 13 16 17 16 11 6 4 3 5 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 nan
nan 13 16 16 14 10 6 4 4 6 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 11 10 10 10 10 nan
nan 13 14 15 14 11 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 nan
nan 12 13 13 13 13 12 10 8 6 5 6 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 12 12 12 11 9 7 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 11 12 11 10 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 11 11 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 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 9 10 10 11 11 11 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 13 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 13 13 13 13 12 11 12 13 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 13 13 14 13 13 12 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 8 7 7 8 8 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 13 13 12 12 12 13 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 10 10 10 10 10 10 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 7 7 7 8 8 8 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 8 7 6 5 6 7 8 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 11 12 11 11 10 10 11 11 10 10 9 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 8 10 11 nan
nan 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 11 10 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 10 12 12 12 10 9 9 9 10 10 9 9 7 7 8 9 10 10 10 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 14 15 15 15 15 15 15 14 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 13 14 14 12 10 9 9 9 10 10 9 8 7 7 8 9 10 11 11 10 10 10 11 11 11 10 10 9 10 11 12 12 13 12 11 11 11 11 11 12 12 12 12 13 15 17 18 18 18 18 17 15 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 12 12 12 13 14 14 14 14 13 12 11 10 9 8 8 7 7 7 7 6 6 6 7 8 10 12 14 15 15 13 10 9 8 9 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 12 12 11 11 11 12 12 12 11 11 11 11 11 12 14 15 16 16 15 14 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 11 12 12 14 14 14 13 13 12 11 10 9 7 6 6 5 5 5 4 4 4 4 5 7 9 12 14 15 14 12 10 8 7 8 9 9 8 8 8 9 10 11 12 12 12 12 13 13 13 11 9 9 10 11 12 13 13 11 10 10 10 11 12 12 12 11 10 9 9 10 11 12 13 13 13 12 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 11 12 12 11 10 10 10 10 9 8 7 7 7 6 6 6 6 6 6 7 9 10 12 14 14 14 12 9 7 5 5 6 6 6 5 6 7 9 10 11 12 12 13 14 14 13 12 10 10 11 13 15 16 16 14 12 11 11 12 13 13 13 13 12 11 10 10 10 11 12 12 12 10 9 8 7 nan
nan 10 10 10 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 9 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 11 11 13 14 14 14 13 11 9 6 4 3 2 2 2 2 2 3 4 6 7 8 10 11 12 13 13 12 11 10 10 12 14 16 16 16 15 14 14 14 15 16 15 15 14 13 13 12 11 11 11 11 11 12 11 10 9 8 8 nan
nan 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 11 11 10 9 8 7 7 7 7 6 6 6 6 7 8 8 9 10 11 11 11 12 12 12 13 14 16 17 16 14 11 8 5 3 1 -0 -1 -1 -0 0 1 2 3 4 4 6 8 11 13 14 14 12 11 11 11 12 14 16 17 16 15 14 14 15 16 16 16 15 14 13 13 13 13 12 11 10 9 10 11 12 13 13 13 12 nan
nan 10 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 11 11 11 11 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 8 7 6 6 5 5 5 5 6 7 8 9 11 13 14 15 15 14 14 15 15 16 17 17 15 13 9 6 2 -0 -2 -2 -2 -1 -0 1 2 4 5 6 7 8 10 13 15 16 15 14 13 12 13 13 14 15 15 15 14 13 13 13 14 14 14 13 13 13 12 13 13 14 14 12 11 9 10 11 13 14 15 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 3 3 4 2 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 2 2 3 4 4 5 5 4 4 5 6 8 9 9 8 9 12 14 14 16 18 19 17 16 17 19 20 18 14 6 2 6 13 19 26 35 42 42 46 52 58 65 70 61 62 64 48 39 49 69 68 46 41 43 49 47 46 56 60 74 83 90 99 124 166 171 163 144 119 96 82 77 79 77 69 78 106 131 122 92 75 85 138 152 155 180 181 170 180 214 270 334 354 413 449 457 466 539 665 739 752 717 682 813 757 584 387 202 43 36 27 18 10 5 5 6 8 19 45 96 176 219 234 253 279 281 250 224 231 272 318 361 397 454 506 543 586 628 653 659 680 755 836 824 765 740 711 516
1 1 0 0 1 2 1 0 0 0 0 0 0 1 2 2 3 3 3 3 4 4 1 1 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 2 2 3 5 6 7 7 6 6 7 9 12 14 15 18 19 17 13 12 12 13 13 11 6 2 2 4 12 24 35 41 43 44 47 53 59 64 63 62 66 64 59 61 74 79 59 44 47 50 49 50 64 65 63 54 46 50 72 94 105 104 97 89 86 88 92 90 79 66 86 104 116 112 90 69 87 115 107 89 107 127 134 151 178 209 250 276 301 312 310 312 312 422 561 669 733 703 756 746 687 574 398 193 118 83 59 32 15 11 5 1 2 8 18 49 81 122 185 279 309 319 342 367 367 351 347 369 401 427 444 503 510 521 546 574 634 688 683 666 667 639 494
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 5 5 5 4 5 6 8 10 14 14 16 16 14 12 10 10 10 10 9 5 2 1 1 5 16 25 34 38 40 42 49 53 50 50 57 69 79 83 87 95 100 87 74 65 59 57 61 74 75 65 54 50 56 61 73 81 85 81 64 71 78 86 90 86 69 78 88 97 95 73 59 68 74 68 59 66 81 97 133 174 197 231 260 274 278 281 283 277 284 316 415 587 590 613 682 735 683 495 330 224 167 137 95 77 54 26 7 3 0 1 5 15 33 67 187 268 345 410 440 457 449 433 427 419 383 328 290 312 343 356 358 370 402 438 465 494 504 408
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 3 3 3 3 3 2 3 5 7 10 12 14 14 14 15 15 13 11 9 8 8 8 6 4 2 0 2 5 13 22 28 30 31 50 51 45 42 47 63 83 94 101 105 106 100 84 74 72 75 83 88 80 64 54 58 73 85 93 95 89 80 72 77 79 83 88 96 99 81 75 81 87 79 67 66 63 51 39 47 56 72 93 122 168 213 254 274 276 271 256 257 257 268 313 389 388 389 495 665 677 513 333 221 187 210 172 148 114 78 42 10 3 2 0 1 2 3 72 156 253 346 392 482 505 495 465 439 415 362 302 244 199 181 168 170 195 231 270 315 344 296
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 3 2 2 4 6 8 9 11 13 14 14 13 13 11 9 7 7 7 7 6 6 4 1 0 0 4 9 16 20 18 31 38 40 42 49 71 83 93 100 102 97 87 77 74 74 75 75 72 66 58 56 67 86 109 124 118 92 76 79 80 72 65 73 93 100 97 96 102 119 112 95 81 68 52 40 46 51 53 56 71 118 170 223 270 301 291 230 205 200 213 281 367 390 386 421 493 532 480 340 201 129 186 169 156 162 165 123 75 42 19 5 1 0 0 16 48 105 206 318 438 511 524 485 474 463 406 320 229 161 123 102 93 91 101 159 187 193 167
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 2 2 2 4 7 10 9 10 12 13 11 10 10 9 7 6 5 5 5 7 8 6 3 2 2 2 2 6 13 14 18 25 33 41 48 62 74 85 92 96 92 83 75 72 72 71 65 69 66 61 61 69 93 123 139 130 98 76 65 58 51 59 111 128 131 128 119 109 115 112 105 96 77 40 28 33 43 48 47 44 78 124 177 232 281 298 231 172 145 144 232 419 492 483 451 386 388 408 404 338 198 161 149 173 203 191 166 136 104 68 25 8 2 0 1 4 16 127 252 397 524 574 543 539 490 399 296 207 162 121 90 71 59 51 99 123 119 94
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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 5 8 9 10 11 10 9 8 7 6 5 4 3 3 3 6 7 7 7 8 8 3 1 2 5 8 13 16 22 30 38 49 61 71 81 89 88 84 79 76 73 72 69 66 63 61 58 64 88 109 121 122 107 85 71 72 79 84 117 141 156 152 132 116 108 103 104 108 104 56 39 37 40 45 52 43 63 95 134 181 239 295 260 183 133 115 189 353 451 460 431 395 391 362 357 393 327 257 216 221 250 216 169 159 169 156 82 38 11 1 0 0 0 33 115 260 430 541 563 542 474 397 352 287 225 161 110 88 74 68 79 89 90 72
1 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 8 8 8 7 6 3 2 2 2 2 2 2 4 6 8 10 13 13 7 4 3 2 3 4 7 12 19 25 32 42 54 65 74 78 78 77 75 70 69 68 66 64 60 56 64 81 92 99 105 100 89 76 70 77 94 116 138 154 155 138 129 117 107 107 119 123 105 86 62 40 42 60 61 65 79 102 123 144 163 167 150 116 90 117 195 279 322 306 271 270 300 341 390 394 360 302 246 201 121 84 102 144 172 123 52 14 2 0 0 0 2 19 86 240 406 481 492 468 437 418 375 314 237 167 156 147 126 91 61 46 34
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 2 3 3 4 5 6 5 3 2 2 2 2 3 4 4 4 5 7 11 15 17 18 16 9 2 2 1 4 10 14 19 22 29 38 46 55 62 65 66 66 65 70 72 74 75 72 65 71 78 82 85 88 83 86 89 93 101 108 121 136 140 132 123 126 123 109 100 116 119 134 138 117 81 70 79 79 73 69 72 70 73 83 91 85 66 52 57 90 140 173 178 194 223 245 265 297 369 365 303 238 171 98 61 58 74 99 77 41 14 3 0 0 0 0 2 20 118 226 310 378 433 455 445 410 359 306 264 234 195 147 94 45 16 7
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