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 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 9 10 10 10 9 8 8 7 7 8 8 7 7 6 6 6 7 8 9 11 11 10 9 8 7 7 7 8 8 9 9 10 10 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 10 10 11 12 12 11 11 11 11 11 10 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 10 10 11 10 8 7 7 7 7 7 6 6 7 7 8 11 12 11 10 10 9 9 10 10 11 11 10 10 9 8 6 4 nan
nan 10 10 11 11 11 10 9 8 8 8 9 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 9 8 8 9 9 9 10 10 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 7 6 5 5 5 6 9 11 11 9 7 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 9 7 6 7 7 8 8 9 9 10 9 9 9 9 10 11 12 12 12 12 11 9 8 8 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 11 11 10 8 8 8 8 9 8 7 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 8 5 nan
nan 11 11 12 12 11 10 9 9 8 9 9 10 10 10 11 11 10 10 9 8 7 7 7 7 8 8 8 9 8 8 8 8 9 10 10 10 9 9 8 8 9 10 11 10 10 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 9 7 6 5 5 5 5 8 10 10 8 7 6 6 6 6 7 7 8 8 8 8 8 9 9 10 10 9 7 7 7 8 8 8 9 10 11 10 9 8 8 9 10 12 12 12 12 11 10 9 9 8 8 7 8 8 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 9 8 8 9 10 11 10 9 8 8 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 10 10 10 10 9 7 nan
nan 13 13 13 12 11 11 10 9 9 9 10 10 10 10 11 11 10 10 9 8 8 7 7 8 8 8 9 9 8 8 8 8 9 10 11 10 9 8 8 8 9 10 11 11 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 7 7 7 8 9 10 10 11 11 11 11 10 9 8 7 6 5 5 5 6 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 11 12 11 10 8 8 10 11 12 12 11 12 11 10 9 9 9 9 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 6 7 8 9 8 8 8 9 9 9 9 8 7 8 9 10 10 10 9 9 10 11 11 10 9 9 8 8 8 9 9 9 9 10 10 10 10 8 nan
nan 15 16 15 14 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 10 9 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 7 7 6 6 6 7 8 9 10 11 11 11 11 11 10 8 7 7 6 6 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 11 9 8 9 10 11 12 12 11 11 11 11 10 10 10 10 9 9 10 10 10 9 8 7 8 9 10 10 10 11 11 10 9 7 6 6 6 6 6 7 7 8 8 8 8 7 7 8 8 8 7 7 8 9 10 10 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 9 10 10 11 11 10 nan
nan 16 17 17 16 14 12 12 12 12 12 12 11 11 10 10 10 10 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 9 8 7 7 6 6 5 6 7 8 9 10 10 11 11 11 10 10 9 8 7 7 6 6 6 6 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 9 8 8 8 9 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 8 7 7 9 10 10 10 10 10 10 10 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 8 8 8 8 9 10 9 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 11 nan
nan 16 17 18 18 17 16 15 15 15 15 14 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 9 8 7 6 6 6 6 6 7 7 8 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 11 12 13 12 11 11 12 12 12 11 10 10 10 11 10 10 8 7 7 9 10 10 9 8 9 10 10 10 9 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 8 7 7 8 9 9 10 11 10 10 9 9 8 8 8 7 8 8 8 8 9 10 10 nan
nan 14 15 16 17 18 18 18 18 18 17 16 14 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 11 11 10 10 9 9 8 7 7 6 6 6 6 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 6 5 5 5 7 9 11 11 11 11 12 13 13 12 11 10 10 10 11 11 10 9 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 10 9 9 8 7 7 7 8 9 10 10 11 10 10 10 9 8 7 7 8 8 8 9 10 10 nan
nan 13 13 14 14 15 16 17 18 18 18 17 15 14 13 12 12 11 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 10 10 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 10 10 11 11 11 11 11 10 9 6 5 4 4 6 7 9 9 9 9 11 13 13 13 12 11 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 9 8 8 7 7 8 9 9 10 10 11 11 9 8 8 8 8 9 9 10 10 nan
nan 11 11 12 12 12 13 13 14 15 16 16 16 15 15 14 13 12 11 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 10 7 5 4 4 5 6 7 7 8 8 9 11 12 13 12 12 11 10 10 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 9 8 8 9 10 10 11 10 10 9 9 9 10 10 10 9 9 9 11 11 10 9 8 7 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 nan
nan 10 10 10 11 11 11 11 11 11 12 14 15 16 16 15 13 12 12 11 11 10 9 9 9 8 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 11 8 7 6 5 5 6 6 6 6 7 8 9 11 11 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 9 11 12 11 10 9 9 8 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 nan
nan 10 10 10 10 10 10 9 10 10 11 12 13 15 15 15 13 12 12 12 11 11 10 10 9 9 9 9 9 9 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 13 14 14 13 11 10 9 8 7 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 10 11 12 11 10 9 8 8 8 8 8 9 9 9 9 9 10 9 9 8 7 8 9 11 11 11 10 9 9 9 9 8 8 8 8 7 7 8 9 10 10 10 10 9 9 nan
nan 10 10 9 9 9 9 9 9 10 10 11 12 14 15 14 13 12 12 12 12 11 11 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 10 10 11 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 14 14 14 13 12 11 10 9 9 9 8 8 8 7 6 7 7 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 7 8 9 10 11 10 9 9 9 10 10 10 10 9 8 8 7 8 8 9 9 10 10 9 9 nan
nan 10 10 9 9 9 9 9 9 9 10 11 12 13 14 14 14 13 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 7 7 7 6 7 7 8 8 8 8 9 9 9 9 10 10 10 9 10 10 11 12 14 15 15 13 12 11 11 10 10 10 10 10 9 8 7 6 6 7 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 nan
nan 10 9 9 9 9 9 8 8 9 9 10 11 12 13 13 14 15 14 14 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 7 7 8 9 10 10 10 10 10 9 9 9 10 10 12 13 15 15 13 12 12 11 11 11 11 11 11 11 9 8 7 6 8 8 7 7 7 8 8 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 10 9 8 7 7 7 7 7 8 8 9 9 nan
nan 9 9 9 9 8 8 8 8 8 8 9 10 11 12 13 15 16 17 16 15 14 14 13 13 12 11 10 10 10 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 5 5 6 7 8 8 9 9 10 10 10 10 10 9 9 10 11 12 14 14 14 13 13 12 12 11 10 10 10 10 9 8 7 7 9 9 8 7 7 7 8 10 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 9 9 10 11 11 10 9 8 7 7 7 8 8 8 8 8 8 nan
nan 9 9 9 8 8 8 8 8 8 9 9 10 11 12 13 15 17 17 16 15 15 15 14 13 12 11 10 10 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 6 5 5 5 6 6 7 8 9 10 10 10 10 10 10 10 10 10 12 13 14 14 14 13 13 11 10 9 7 7 6 6 6 6 8 9 9 9 8 8 7 8 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 8 nan
nan 9 9 8 8 8 7 8 8 8 9 10 10 10 11 12 14 15 15 15 15 15 15 15 13 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 8 7 6 5 4 4 5 6 7 8 9 10 10 10 10 10 10 10 10 10 11 11 12 13 14 13 12 11 9 8 6 5 4 5 7 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 10 10 10 10 10 9 8 8 8 7 7 9 10 11 10 10 8 8 9 10 10 11 10 10 10 9 nan
nan 9 8 8 8 7 7 8 9 9 9 10 10 10 10 10 11 12 13 13 14 15 15 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 11 11 10 10 9 9 9 11 12 13 13 10 8 8 9 10 10 10 10 10 10 10 10 9 9 8 7 5 5 4 4 5 6 7 8 9 10 10 10 10 10 10 9 8 7 7 9 12 14 15 15 15 14 13 10 7 6 7 8 7 6 6 8 10 11 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 9 8 8 9 9 10 9 9 9 10 10 10 10 9 9 9 8 9 9 10 10 9 8 7 7 8 8 8 8 9 11 11 11 9 8 8 9 10 11 11 11 11 10 9 nan
nan 8 8 8 7 7 8 9 9 10 10 10 10 10 10 9 10 10 11 12 13 14 15 15 14 13 13 12 12 12 11 11 10 10 10 10 9 9 9 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 10 12 14 13 10 7 6 7 8 10 11 11 11 11 11 10 10 9 9 8 7 5 5 4 4 5 6 7 8 9 9 10 10 10 10 8 6 5 5 7 12 15 16 17 18 18 18 15 11 10 9 8 7 6 6 8 11 12 11 11 9 8 7 8 9 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 9 8 7 7 8 9 9 10 11 12 11 10 8 8 8 9 10 11 11 11 10 10 10 nan
nan 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 14 15 15 14 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 13 13 13 10 7 6 5 6 8 9 10 11 11 11 11 10 10 9 9 8 6 5 4 4 4 5 6 7 8 9 9 10 10 10 9 7 7 7 10 13 15 16 17 18 19 19 17 15 12 11 9 8 7 8 10 12 12 12 10 7 6 6 8 9 9 9 9 9 8 8 8 8 8 7 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 9 8 8 8 9 10 10 11 12 11 11 9 8 8 8 9 10 11 11 11 11 10 11 nan
nan 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 13 14 14 14 14 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 11 10 10 9 8 8 8 9 9 9 10 9 9 9 8 8 7 7 8 8 9 10 11 13 13 13 13 11 8 6 5 5 6 7 9 10 11 10 10 10 10 10 9 9 7 6 5 5 4 4 5 6 7 8 8 9 9 10 10 9 10 11 12 14 15 14 15 16 18 18 18 16 14 12 10 10 10 10 12 13 12 11 9 7 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 10 10 9 8 8 9 10 11 11 11 11 11 11 11 nan
nan 8 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 13 13 13 14 14 15 15 14 14 13 13 13 12 11 11 10 9 9 9 9 9 10 10 10 11 11 10 9 9 8 8 8 9 9 10 10 10 10 9 9 8 7 6 6 7 8 10 12 14 14 14 13 12 10 8 7 5 5 6 7 9 10 10 10 10 10 10 9 9 8 8 7 6 5 5 5 6 6 7 7 8 8 9 10 10 11 12 13 13 12 11 10 12 14 16 16 16 14 12 11 11 11 12 12 12 12 11 9 8 8 8 6 5 6 8 9 9 8 8 8 7 7 7 7 8 8 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 14 15 16 16 16 15 14 13 13 12 11 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 9 8 6 6 5 6 7 9 12 13 14 14 13 12 11 10 8 7 5 5 7 8 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 11 12 12 12 11 10 8 8 9 11 13 15 15 15 13 12 11 11 11 12 12 11 10 10 10 10 9 7 5 6 8 9 9 8 8 8 8 8 7 7 6 6 7 9 10 10 10 10 9 9 9 10 11 11 10 8 8 8 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 12 12 11 11 10 10 10 10 nan
nan 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 13 15 17 17 18 17 16 14 13 12 11 11 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 10 11 10 10 9 9 8 7 6 6 6 6 8 10 11 13 13 13 12 11 11 10 8 6 5 6 8 9 10 10 10 10 10 9 9 8 9 9 8 8 8 8 7 7 7 7 7 7 9 10 11 12 12 11 11 10 9 9 10 11 12 14 15 15 14 13 12 10 10 11 11 11 10 10 10 11 10 9 8 8 9 8 7 6 7 8 9 9 8 7 6 6 6 7 8 9 9 9 8 8 9 10 10 10 9 7 7 7 8 8 8 9 9 9 9 9 9 10 11 11 11 11 12 12 11 10 10 9 9 9 9 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 12 14 16 17 18 18 17 16 14 13 12 11 10 10 10 10 10 10 11 10 10 9 9 8 8 9 9 9 10 10 10 11 10 9 9 8 8 7 7 7 7 6 7 7 9 11 12 13 12 12 12 11 10 7 6 5 6 8 10 10 11 10 10 9 9 9 9 9 8 9 8 8 8 7 7 7 7 7 8 9 10 11 11 10 10 10 11 11 12 13 13 13 14 14 14 14 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 8 7 6 6 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 10 10 10 9 8 7 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 12 14 16 17 17 16 15 14 13 13 12 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 12 12 12 12 12 12 10 8 6 5 5 7 10 11 11 10 9 9 9 10 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 9 11 13 13 13 12 12 13 13 13 12 10 9 9 9 9 9 10 10 11 11 11 11 12 12 11 10 9 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 9 9 8 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 nan
nan 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 13 13 13 12 12 12 12 12 13 13 13 12 11 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 11 11 12 12 12 12 12 11 9 7 6 5 8 11 13 12 10 9 10 10 11 10 10 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 6 5 5 7 10 12 12 12 11 11 11 11 10 9 8 8 8 9 8 8 8 9 10 10 10 11 12 13 13 13 12 12 10 8 7 6 7 9 10 10 10 9 9 8 8 9 10 10 9 8 8 10 12 13 12 12 11 9 8 7 7 6 6 6 7 8 9 9 8 8 7 6 6 6 7 7 7 7 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 12 12 13 14 14 14 14 14 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 9 7 6 8 10 12 12 10 10 11 12 12 11 10 9 9 9 10 10 11 10 10 9 8 8 7 7 7 6 5 5 6 7 9 11 12 12 11 11 10 9 8 7 7 7 9 9 8 7 6 7 8 8 9 10 11 13 14 14 14 14 13 12 10 8 7 7 8 10 11 10 9 9 9 10 11 9 8 7 7 10 13 13 13 12 11 10 8 8 7 6 6 6 7 8 9 9 9 8 7 6 6 6 7 8 9 8 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 10 10 10 10 10 10 10 11 12 14 16 17 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 11 11 11 11 11 12 12 12 12 11 10 7 6 6 7 9 9 9 10 11 13 13 12 10 9 9 8 9 10 10 10 10 9 9 9 8 8 7 6 6 6 7 9 10 11 12 12 12 11 10 9 7 6 6 8 9 9 8 8 7 6 7 7 8 9 10 12 13 13 13 13 13 13 12 10 7 6 6 8 10 10 10 10 10 11 11 10 8 7 7 10 12 13 13 12 11 10 9 8 8 8 8 8 8 10 11 11 11 10 9 8 8 7 8 9 10 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 9 9 10 10 10 10 10 10 10 10 12 14 16 17 17 16 14 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 9 9 11 13 14 14 13 11 11 11 11 11 12 12 12 11 8 5 3 4 5 8 9 9 10 11 12 14 13 12 10 9 8 9 9 10 10 10 10 9 9 9 8 8 7 7 8 9 10 11 12 13 13 13 11 10 9 8 7 7 8 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 12 12 11 10 8 6 6 7 9 10 10 10 10 11 11 10 9 8 8 9 10 11 12 12 11 11 10 9 9 9 10 10 11 12 13 14 14 14 13 12 11 10 9 10 10 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 11 12 14 15 16 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 9 11 13 14 14 12 11 11 11 12 12 13 13 11 7 3 3 4 6 8 10 10 10 11 12 14 14 13 11 10 9 9 9 10 10 10 10 9 9 9 8 8 7 7 9 10 11 11 12 14 14 12 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 10 10 9 10 10 12 14 14 14 14 14 14 14 12 11 10 10 10 10 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 11 11 12 12 13 14 14 14 14 14 13 13 12 12 12 12 11 10 10 11 11 11 11 11 11 11 10 9 8 8 7 7 7 8 10 12 13 13 12 12 12 12 13 13 12 9 5 3 4 7 8 8 8 9 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 10 11 11 11 12 13 12 10 7 6 7 8 9 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 7 6 5 6 7 7 8 8 8 8 9 9 9 9 8 7 7 8 9 9 10 10 10 9 10 10 10 9 9 10 11 12 12 12 12 12 12 11 10 9 9 9 10 9 9 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 11 9 8 7 7 8 8 10 11 11 11 11 12 12 12 12 13 13 14 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 9 8 8 7 7 8 8 9 11 13 13 13 13 12 13 13 13 11 7 4 4 6 9 10 9 8 8 9 10 12 12 11 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 9 10 11 11 11 12 12 10 9 7 6 6 7 8 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 8 6 6 5 5 5 4 4 4 5 6 7 6 5 5 5 6 7 7 8 7 7 6 7 9 9 9 8 8 8 8 8 9 11 10 9 9 9 9 10 10 9 9 9 nan
nan 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 10 9 8 8 7 7 8 9 10 10 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 9 8 8 8 8 8 10 11 13 14 14 14 14 13 14 14 13 10 6 2 3 7 10 11 9 8 8 10 11 12 11 10 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 12 12 11 10 8 7 6 7 8 10 10 10 10 10 10 10 11 11 10 9 10 10 11 12 13 15 16 16 14 12 10 8 7 6 5 3 2 2 3 3 3 3 3 4 5 5 5 5 5 4 4 5 7 8 9 8 7 6 6 6 9 11 10 10 9 9 9 9 9 9 9 8 nan
nan 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 10 10 10 11 11 12 12 13 14 14 14 13 12 12 11 11 10 10 9 9 9 8 8 8 10 12 14 16 16 16 15 15 15 15 13 10 5 2 4 7 10 10 9 9 10 11 12 12 11 10 9 9 10 11 11 12 11 11 10 10 10 9 8 8 8 9 10 11 11 10 11 12 13 14 13 11 9 7 6 6 7 9 10 10 10 10 10 10 10 9 8 9 9 9 10 12 15 18 19 18 17 16 15 15 14 13 12 11 9 7 6 6 5 5 5 6 6 6 5 5 4 4 4 4 6 7 7 6 5 5 5 6 9 10 10 10 9 8 9 9 10 10 10 9 nan
nan 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 11 12 14 15 15 16 15 14 13 12 12 11 10 10 9 9 8 8 8 9 11 13 16 17 18 17 17 17 16 14 10 6 4 6 8 9 8 8 9 10 11 12 11 11 10 10 11 11 11 11 11 12 11 11 10 9 8 7 7 8 9 10 11 10 10 11 13 14 15 13 10 8 6 4 4 6 9 10 10 10 9 9 9 8 8 8 9 9 9 9 10 12 15 15 14 14 14 15 17 18 19 20 20 19 17 15 14 13 12 12 12 12 12 11 10 9 7 6 6 6 6 4 3 3 4 4 6 7 9 10 10 9 8 8 9 10 10 10 10 nan
nan 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 11 11 12 13 14 15 16 17 17 17 15 14 12 11 11 10 9 8 7 8 8 9 12 15 18 20 20 20 19 18 16 12 7 6 7 8 9 9 9 10 10 11 11 11 11 11 12 13 13 12 12 12 12 12 12 11 10 9 7 7 7 9 10 11 10 10 11 13 15 15 12 10 7 4 3 3 6 8 10 10 9 9 9 8 8 8 9 9 8 7 7 7 9 10 11 10 9 9 10 13 15 17 20 22 23 22 22 21 20 19 19 18 18 18 18 17 15 13 11 9 8 6 3 2 2 3 4 6 8 10 11 10 9 8 8 8 9 10 10 11 nan
nan 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 8 8 7 8 8 9 10 11 11 11 11 10 9 10 10 11 11 12 12 11 12 14 16 18 19 19 19 17 16 14 14 12 11 9 9 9 9 10 11 15 19 22 23 23 22 21 19 14 9 7 7 9 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 14 14 13 12 12 11 10 9 9 9 10 11 10 10 12 14 16 15 13 10 8 4 2 3 5 8 9 10 10 9 9 8 8 9 9 9 8 6 6 6 8 9 9 8 7 7 7 8 10 12 15 17 18 19 20 21 21 21 21 20 19 19 19 19 18 17 15 14 11 8 4 2 2 4 5 7 9 10 10 9 8 7 7 8 8 9 10 10 nan
nan 7 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 10 8 7 7 7 9 9 10 11 12 12 12 11 11 11 12 12 12 12 11 12 13 15 17 19 19 20 20 19 18 17 15 14 12 13 13 13 12 13 16 20 25 27 27 26 24 22 16 11 8 7 9 10 10 10 10 9 9 9 10 10 11 11 12 12 13 14 15 15 14 14 14 14 14 14 14 13 12 11 11 10 11 14 16 17 16 14 11 8 5 3 4 5 8 10 11 11 10 9 8 8 8 9 9 8 7 7 7 8 7 7 7 7 7 7 7 8 8 10 11 12 13 14 16 16 17 17 17 17 17 17 17 17 18 18 18 17 13 8 5 4 5 7 8 9 10 9 8 7 7 7 8 8 8 9 9 nan
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nan 9 8 8 7 6 5 5 5 6 8 9 9 9 10 11 12 13 12 11 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 10 9 9 10 9 9 9 9 8 8 8 8 10 11 14 15 15 15 16 17 17 15 12 8 5 6 8 11 13 13 12 11 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 11 11 11 10 10 10 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 11 10 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 10 10 10 11 12 13 13 11 11 nan
nan 13 12 10 8 5 2 1 0 1 3 5 7 8 9 10 11 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 11 13 13 14 14 13 13 11 9 6 4 3 4 6 8 8 9 10 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 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 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 13 13 13 13 12 11 10 9 9 10 10 10 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 10 10 10 10 10 10 10 10 nan
nan 17 17 16 13 9 5 2 0 -1 0 3 5 7 9 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 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 12 12 12 11 10 9 7 5 4 4 5 6 7 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 18 21 22 21 17 11 8 5 4 4 5 6 7 8 9 10 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 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 9 8 6 6 5 5 6 7 8 9 9 10 10 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 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 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 nan
nan 15 19 23 25 22 16 12 9 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 10 10 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 10 10 9 8 7 6 6 6 7 7 8 8 9 10 10 10 11 11 10 10 9 9 9 9 10 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 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 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 11 11 10 10 10 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 nan
nan 13 16 21 23 21 17 12 9 7 8 8 9 10 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 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 7 6 5 5 7 8 9 9 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 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 10 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 11 11 10 10 10 9 9 9 10 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 11 12 12 nan
nan 12 14 17 18 18 16 13 10 8 7 8 9 10 11 11 11 10 10 10 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 13 13 13 12 11 8 5 3 2 3 6 9 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 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 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 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 nan
nan 12 13 15 16 17 18 18 16 13 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 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 11 11 12 14 15 16 15 12 8 4 -0 -2 -0 4 8 9 10 10 10 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 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 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 13 15 18 20 20 19 16 14 12 11 10 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 16 18 19 18 15 10 5 -0 -3 -2 2 6 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 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 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 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 13 15 17 17 17 15 14 13 12 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 10 10 10 10 10 10 11 11 13 16 19 21 21 19 14 10 3 -3 -2 1 5 9 10 10 10 10 10 10 10 11 11 11 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 10 10 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 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 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 15 18 21 23 22 19 14 6 1 1 2 6 9 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 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 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 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 nan
nan 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 13 17 20 23 24 21 16 10 6 5 6 8 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 12 11 11 11 11 11 11 11 11 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 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 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 10 10 10 10 10 10 11 12 14 17 19 20 19 16 12 10 9 9 10 11 11 11 11 11 11 11 11 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 10 11 11 11 11 11 11 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 11 11 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 9 9 10 10 10 nan
nan 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 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 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 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 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 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 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 9 9 8 8 8 9 10 10 10 9 9 8 8 8 8 nan
nan 13 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 13 14 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 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 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 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 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 10 10 11 11 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 12 12 12 12 12 nan
nan 13 13 13 13 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 12 12 12 12 12 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 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 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 13 13 13 13 11 11 11 10 11 11 11 11 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 11 11 12 12 12 12 12 12 nan
nan 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 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 11 11 11 11 11 12 12 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 11 11 11 10 11 11 11 11 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 9 10 11 nan
nan 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 11 11 12 12 12 12 12 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 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 11 10 10 10 10 10 9 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 13 13 13 12 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 9 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 10 11 11 12 12 12 13 14 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 13 14 15 13 12 11 10 8 7 7 7 7 8 9 9 10 10 10 10 11 11 11 12 13 13 11 10 9 7 6 6 6 7 9 11 11 11 12 13 14 13 12 11 11 11 11 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 13 14 14 14 13 12 11 8 7 6 6 7 7 8 9 10 10 10 10 11 11 12 14 15 14 13 10 8 6 3 2 1 3 6 8 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 12 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 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 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 13 13 13 13 14 14 12 10 8 7 7 7 8 8 9 10 10 10 10 11 13 16 17 16 15 12 10 6 3 0 -1 0 3 7 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 15 15 15 14 12 10 8 7 7 7 8 8 8 8 8 10 12 14 16 16 15 13 11 9 6 1 -2 -0 2 5 8 7 7 7 8 10 11 12 12 12 12 12 12 12 13 14 13 12 11 10 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 9 nan
nan 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 12 12 12 12 12 12 13 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 14 15 14 14 14 13 12 10 9 8 8 7 7 7 7 8 10 11 13 14 13 12 11 10 8 4 1 1 2 4 5 4 4 5 7 9 11 11 11 11 11 12 12 13 13 13 12 11 11 10 11 11 11 10 9 9 9 9 10 10 11 10 10 9 9 9 10 10 11 10 10 9 nan
nan 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 12 12 12 12 12 12 12 13 12 12 12 11 11 12 12 12 11 12 12 11 11 11 11 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 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 13 13 13 12 14 15 15 15 13 11 11 10 9 9 8 8 9 10 11 12 12 12 11 10 10 9 7 5 5 5 5 3 1 1 2 6 8 10 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 12 12 11 10 9 8 9 10 11 12 12 12 12 nan
nan 13 13 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 12 12 12 12 12 12 12 12 12 12 11 12 12 12 11 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 13 14 15 15 15 13 13 13 12 11 11 11 11 11 11 11 11 11 10 9 8 7 7 8 9 10 8 5 2 -1 -0 2 5 8 10 11 11 11 11 12 11 11 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 12 10 9 9 10 11 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
48 50 54 56 58 58 55 54 61 67 64 50 35 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 20 23 25 24 21 19 18 16 15 14 11 8 6 5 4 2 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 8 8 5 5 6 4 4 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 13 12 5 2 1 0 0 0 0 0 0 0 0 0 1 3 7 17 40 48 57 51 32 16 9 6 3 1 0 0 0 0 0 0 0 0 0 1 1 2 2
76 69 66 62 59 59 59 58 66 80 90 86 60 36 18 7 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 2 9 18 23 28 31 31 28 26 24 21 18 15 11 9 7 6 4 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 11 8 4 5 5 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 4 8 14 19 15 9 5 2 0 0 0 0 0 0 0 0 0 0 0 2 9 29 35 34 27 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2
126 110 101 90 75 64 60 59 64 78 99 115 94 69 43 22 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 23 28 31 31 30 29 26 19 16 13 10 8 5 1 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 2 9 8 3 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 4 8 14 22 23 20 14 6 1 1 0 0 0 0 0 0 0 0 0 0 1 7 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
109 108 105 100 91 78 67 63 63 69 87 116 117 96 66 36 14 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 2 7 13 17 21 23 25 26 25 23 21 17 13 10 8 4 4 4 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 4 7 10 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 20 26 28 25 15 8 5 2 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
43 55 64 71 76 77 76 73 69 68 75 99 121 117 89 54 27 12 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 1 3 5 7 11 14 17 20 22 24 24 22 18 14 12 11 8 5 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 1 3 9 20 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 24 29 30 24 16 10 4 0 0 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 1
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9 13 17 22 28 34 42 45 47 46 43 43 52 69 76 68 50 34 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 16 17 19 20 19 17 11 5 2 1 0 0 1 3 4 4 2 2 0 0 0 0 0 0 0 1 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 19 19 18 13 10 8 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
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