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 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 11 11 11 11 11 10 10 9 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 8 7 5 5 5 6 8 11 11 10 8 8 8 8 8 9 9 9 10 10 11 11 11 10 9 9 9 10 11 12 12 11 10 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 9 10 9 8 7 8 8 9 9 9 9 10 10 11 12 13 13 12 12 11 10 10 11 12 12 12 12 12 11 11 11 nan
nan 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 11 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 10 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 6 6 5 5 6 8 10 10 10 9 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 10 10 11 12 11 10 9 8 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 7 7 7 7 7 7 7 8 9 10 11 9 6 5 5 7 8 10 10 10 10 10 11 12 13 13 13 12 11 10 10 10 11 11 11 11 11 10 9 9 nan
nan 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 8 9 10 9 9 8 7 7 7 7 6 5 5 5 6 7 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 8 9 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 10 11 12 12 11 10 9 8 8 8 8 8 7 6 7 6 6 7 9 12 12 9 6 3 3 4 7 9 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 8 nan
nan 9 9 9 8 6 5 5 5 7 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 9 8 7 7 8 8 9 8 8 9 8 8 8 9 10 10 10 9 8 7 7 7 7 7 8 9 10 10 9 8 7 6 6 6 6 5 5 5 6 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 11 11 12 12 11 10 10 9 8 8 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 8 8 9 9 9 10 9 9 9 10 10 11 10 9 9 10 10 10 10 9 10 11 12 11 11 10 9 9 9 9 8 7 7 7 7 7 7 8 10 11 9 6 4 2 3 6 7 8 9 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 9 10 11 11 9 nan
nan 9 9 8 8 7 6 6 7 8 8 8 8 8 8 9 9 10 11 11 10 10 10 10 10 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 9 10 9 9 8 7 7 7 7 7 8 9 10 10 9 8 7 6 6 6 5 5 5 6 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 11 11 12 12 12 11 11 10 10 9 8 8 7 7 8 9 10 10 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 8 9 9 9 8 9 9 10 10 10 9 9 9 9 10 10 9 9 10 11 12 12 11 9 9 9 9 8 7 7 8 8 8 7 8 9 9 8 7 5 4 4 5 7 8 10 11 11 11 11 10 9 8 7 6 6 7 7 7 7 7 7 9 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 9 10 11 11 10 10 10 9 7 7 7 9 9 9 9 9 9 8 8 9 9 9 9 9 8 7 7 7 7 7 8 9 10 10 9 8 6 6 6 5 5 5 6 6 7 8 9 8 7 7 7 7 7 8 8 8 9 9 8 8 8 7 7 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 9 8 7 7 8 9 9 9 8 8 8 7 7 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 8 9 9 9 8 9 11 12 12 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 9 9 8 6 6 7 9 10 11 11 11 11 10 8 7 6 6 6 6 7 7 6 6 6 7 8 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 10 12 13 12 12 12 12 11 9 7 7 9 10 10 10 9 9 9 9 9 10 10 9 8 7 7 7 7 7 8 8 9 10 10 9 8 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 9 10 10 11 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 10 10 9 8 8 9 9 9 8 8 8 8 9 9 9 8 7 7 8 9 9 8 8 9 11 12 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 8 8 9 10 11 11 11 11 11 10 8 7 6 5 6 7 7 7 6 6 6 7 7 8 8 8 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 8 11 13 13 12 12 12 13 13 11 9 8 9 10 11 11 10 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 10 11 10 8 7 6 6 6 6 7 7 8 8 8 7 6 5 5 6 7 8 8 8 8 9 9 9 8 8 8 8 9 8 8 7 6 6 7 8 9 10 10 11 12 13 13 13 12 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 9 9 10 10 9 9 8 8 9 9 9 8 8 8 8 9 9 9 8 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 11 11 11 12 12 10 8 7 6 6 7 8 8 8 6 5 6 7 7 7 8 8 nan
nan 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 10 11 12 12 11 11 11 11 12 12 10 10 10 10 11 12 11 10 9 9 10 10 10 10 10 9 8 8 8 8 7 8 9 10 10 10 8 7 7 6 6 6 7 7 8 9 9 8 6 5 5 5 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 9 9 10 11 12 12 13 13 14 13 12 11 9 8 8 8 8 8 7 7 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 9 8 7 7 8 10 11 12 12 12 11 9 8 7 7 7 8 9 8 7 6 6 7 8 8 8 7 nan
nan 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 10 11 11 10 9 9 9 9 9 9 10 9 8 8 8 9 8 8 9 9 10 9 8 7 7 7 7 6 6 7 8 9 9 9 7 6 5 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 9 10 11 11 12 13 14 14 13 12 11 10 9 9 9 9 8 7 8 8 9 10 11 11 10 10 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 8 8 8 9 9 9 10 10 10 9 7 6 7 9 11 12 12 12 11 10 8 8 7 7 8 9 8 7 7 8 9 9 8 7 6 nan
nan 10 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 8 8 7 7 7 8 10 9 9 9 9 9 9 8 7 8 8 7 7 6 6 7 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 9 10 11 11 11 12 12 11 11 10 10 11 10 10 9 9 8 8 9 10 11 10 10 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 6 7 9 10 11 11 11 10 10 9 8 8 8 8 8 8 7 8 9 10 8 7 6 5 nan
nan 10 9 9 8 8 8 8 8 7 7 7 7 6 6 5 4 4 4 5 6 7 7 8 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 6 7 8 10 10 10 10 9 9 9 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 10 9 8 7 7 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 11 10 10 9 9 9 9 9 9 9 8 7 7 8 8 9 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 9 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 7 8 8 9 9 8 7 6 6 nan
nan 10 10 9 9 9 8 8 8 8 8 8 8 7 6 5 4 4 4 5 6 8 9 10 11 12 12 11 9 8 6 6 6 7 8 8 9 10 10 10 9 8 8 8 8 7 7 8 9 10 11 11 11 10 9 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 8 7 8 8 9 8 8 8 8 8 9 10 11 11 11 10 10 9 10 11 11 11 10 9 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 nan
nan 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 10 10 11 12 12 11 10 9 8 7 7 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 9 10 10 11 10 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 7 7 6 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 10 10 9 8 8 8 9 9 9 8 8 7 8 9 10 11 11 10 10 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 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 10 11 11 11 11 10 9 8 9 9 9 9 9 8 8 8 8 8 8 8 9 8 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 10 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 8 8 8 8 8 8 9 9 9 8 8 7 7 8 10 11 12 11 11 11 12 11 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 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 10 10 11 11 10 10 9 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 12 11 11 10 10 9 9 9 9 10 9 9 8 8 9 9 10 9 9 8 8 7 7 6 6 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 9 8 7 6 6 7 7 7 8 8 9 9 9 9 8 8 7 8 9 11 12 13 12 12 11 10 9 8 8 8 8 7 7 7 8 8 8 8 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 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 10 10 10 9 9 8 8 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 11 11 10 10 9 9 8 7 7 7 8 8 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 10 13 15 15 14 12 11 9 9 9 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 11 11 nan
nan 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 8 8 7 7 7 8 9 10 10 10 9 8 6 6 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 9 9 9 8 7 7 10 13 17 20 21 19 17 15 13 13 12 11 11 11 12 12 12 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 7 7 7 7 7 8 9 11 11 12 nan
nan 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 10 9 8 6 5 5 6 7 8 9 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 8 9 9 9 7 7 8 12 17 23 25 25 24 21 17 15 13 12 13 13 14 14 14 13 13 13 12 11 10 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 7 7 7 7 8 9 9 9 8 8 8 9 8 8 8 8 7 7 7 7 8 9 10 11 12 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 10 9 9 8 8 8 9 10 10 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 11 11 10 9 9 9 10 10 10 9 7 6 5 5 5 6 7 10 11 10 9 8 7 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 8 9 9 8 7 7 10 14 20 23 23 21 19 15 13 11 10 11 12 12 13 13 14 14 14 13 12 11 9 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 10 10 11 12 nan
nan 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 11 10 9 8 7 7 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 10 11 11 10 10 9 10 10 10 9 8 7 6 5 5 6 8 10 11 10 8 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 9 9 9 8 8 7 8 11 14 15 14 12 9 8 7 7 7 7 8 9 10 11 11 12 13 13 13 11 10 9 8 7 7 6 6 5 5 6 6 7 7 7 7 6 6 7 7 7 7 6 6 5 6 6 6 6 6 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 8 8 7 7 8 8 9 10 10 10 11 11 nan
nan 9 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 10 10 9 9 10 10 10 9 8 7 7 6 6 6 8 10 10 9 8 6 5 6 7 8 8 9 9 9 9 10 10 9 9 8 7 7 8 9 9 9 9 9 9 8 8 8 9 9 8 7 4 2 2 3 4 5 6 7 8 8 9 9 10 11 12 12 12 11 10 10 9 9 8 7 6 5 5 6 6 6 6 6 7 7 8 8 8 7 7 6 5 5 5 6 6 7 7 7 8 9 10 11 11 11 10 9 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 nan
nan 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 11 12 12 12 12 11 10 8 8 7 6 7 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 8 10 10 10 8 7 6 6 6 7 8 9 9 9 9 10 9 9 9 8 7 7 8 8 9 8 8 8 9 9 9 9 9 8 7 5 2 1 1 1 2 3 5 6 7 8 8 9 9 10 10 11 11 11 12 12 12 11 10 9 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 7 6 7 7 8 8 8 8 9 10 10 11 11 11 12 11 9 7 6 6 6 8 8 9 9 9 8 9 9 9 10 9 9 8 nan
nan 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 12 12 13 13 12 11 10 9 8 7 7 7 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 9 8 8 7 7 7 7 7 8 9 10 11 10 8 7 7 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 5 3 2 2 2 3 5 6 7 7 7 8 9 9 10 10 11 11 12 13 12 12 11 11 11 11 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 9 9 8 9 9 10 10 10 10 10 10 11 11 10 9 7 6 7 8 9 9 8 8 8 8 9 9 9 8 8 7 nan
nan 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 10 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 6 7 7 7 7 8 9 10 11 10 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 6 5 4 4 4 5 6 6 6 6 6 6 7 8 9 10 10 11 12 12 12 11 11 11 11 12 12 12 11 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 7 8 9 10 9 8 8 8 9 9 10 10 9 8 7 8 9 10 9 8 8 8 9 9 9 9 8 8 6 nan
nan 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 10 10 9 8 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 6 5 5 5 6 6 7 9 9 10 11 11 11 10 11 11 11 11 12 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 7 6 6 7 8 9 9 9 8 7 8 10 12 12 11 9 8 8 9 10 9 9 8 7 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 11 12 11 11 11 12 11 11 10 10 10 10 11 12 12 12 12 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 10 9 8 7 7 7 7 8 9 9 9 8 6 5 7 9 10 9 8 8 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 7 7 8 7 8 8 7 7 7 7 6 6 5 5 5 5 6 7 8 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 10 9 9 8 8 8 8 8 8 8 8 9 10 11 9 7 6 6 7 10 11 10 9 8 8 10 13 15 15 12 9 7 7 8 9 9 9 8 7 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 10 10 10 11 12 12 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 11 12 12 12 10 9 8 8 8 8 8 9 9 8 8 6 5 7 9 10 9 8 8 8 8 8 9 9 9 10 10 9 9 10 10 11 11 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 9 9 10 10 11 12 12 12 12 10 10 9 9 10 9 9 9 8 8 8 8 9 10 10 10 10 7 6 6 7 10 13 14 13 11 10 11 14 16 16 14 11 9 7 7 7 8 8 8 7 7 6 nan
nan 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 12 12 13 13 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 12 13 13 12 11 9 9 8 8 8 8 8 8 8 9 8 8 9 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 11 11 11 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 6 7 8 8 8 9 9 10 11 12 13 13 13 13 12 11 11 10 10 9 9 8 8 7 7 8 9 9 9 8 6 5 5 6 9 12 15 16 16 16 16 16 17 17 15 13 11 9 8 8 8 8 8 7 7 7 7 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 10 9 9 9 9 9 9 8 9 9 9 8 8 8 7 7 8 8 8 8 9 10 11 13 14 14 13 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 10 9 9 8 8 9 9 10 11 11 12 11 9 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 6 5 5 5 5 6 7 7 8 8 8 9 10 10 11 12 13 13 13 13 12 12 11 10 9 8 7 7 7 8 8 8 8 7 6 5 5 6 8 11 15 17 19 20 20 20 19 18 16 15 13 12 11 11 11 11 10 9 8 8 8 9 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 12 14 15 15 14 11 10 10 10 10 10 9 9 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 10 12 11 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 5 5 6 7 7 7 7 7 8 9 9 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 8 8 8 8 8 7 6 6 7 8 9 12 16 19 21 23 22 20 18 16 16 15 14 13 13 13 13 12 11 10 9 9 10 11 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 11 13 14 15 14 12 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 8 6 6 6 7 7 7 7 8 9 11 11 11 11 9 9 8 8 8 8 7 7 7 7 8 9 10 10 9 8 7 6 6 7 7 7 7 6 7 7 8 9 10 11 10 10 9 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 8 11 14 17 19 20 18 17 15 13 14 14 14 14 13 13 12 11 11 10 9 9 10 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 11 12 13 13 12 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 6 6 8 9 9 8 8 9 11 12 13 12 12 11 10 10 9 8 8 7 6 6 7 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 9 11 11 10 8 6 4 3 3 4 4 5 6 6 6 7 8 7 7 6 5 4 4 3 3 3 5 8 12 15 15 14 13 12 11 10 11 11 11 12 11 11 11 10 10 9 8 7 8 9 nan
nan 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 11 11 11 12 12 13 13 12 12 11 10 10 10 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 11 11 12 13 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 9 10 11 12 11 11 11 11 11 12 13 13 13 13 12 11 10 10 9 8 7 7 8 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 9 11 12 11 9 6 4 4 3 3 4 4 4 4 5 5 5 5 4 3 2 1 1 1 2 2 4 6 9 12 12 11 10 9 8 8 8 8 9 9 10 10 9 9 8 7 7 6 7 8 nan
nan 9 9 9 9 10 10 10 10 10 11 11 12 12 11 11 11 11 12 12 12 13 12 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 10 12 14 15 15 13 12 11 10 10 9 9 9 9 9 8 8 9 11 11 11 10 9 10 9 9 9 9 10 10 10 10 11 12 13 13 13 12 12 12 12 11 11 12 12 13 13 13 13 12 11 10 9 8 8 9 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 9 11 12 12 12 10 9 8 7 6 5 5 5 5 5 5 5 4 4 3 3 2 3 3 3 4 5 7 9 10 10 9 8 7 6 6 7 7 8 8 9 9 8 8 7 7 7 6 7 8 nan
nan 9 9 10 10 10 10 10 10 11 11 12 12 13 12 12 12 12 12 12 12 13 12 12 11 10 10 10 10 11 12 12 12 11 11 11 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 9 9 9 9 9 11 14 17 17 16 14 12 11 10 10 9 9 9 7 6 7 8 9 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 9 9 9 10 11 12 11 10 8 7 7 7 7 7 8 9 9 9 8 8 9 10 11 12 13 12 12 12 11 9 9 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 9 11 12 11 10 9 7 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 13 13 12 11 9 9 9 10 11 11 12 11 11 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 11 13 16 18 18 16 14 12 11 11 10 9 9 7 6 6 6 7 8 10 10 11 11 10 10 9 9 9 9 9 9 10 11 11 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 8 9 10 11 13 13 12 10 9 7 7 7 7 8 9 10 10 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 11 10 10 10 11 12 13 15 15 14 12 9 6 4 3 3 4 6 7 8 8 8 8 8 8 8 7 8 8 9 nan
nan 10 10 10 10 10 11 11 11 12 13 13 14 14 14 14 13 12 12 12 12 12 12 11 9 9 9 9 10 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 12 15 17 18 17 15 13 12 11 11 10 8 6 6 5 5 6 7 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 7 7 6 7 8 9 9 9 9 8 8 8 8 9 10 11 13 14 13 11 10 9 9 10 10 11 10 10 10 9 8 7 8 8 9 9 9 8 8 7 8 10 11 12 12 13 14 14 15 14 14 14 14 14 14 14 15 15 17 18 18 17 15 10 6 3 1 1 3 4 6 7 8 9 9 9 8 8 8 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 12 12 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 12 12 13 13 12 12 11 11 12 12 12 12 12 11 11 11 10 10 10 10 11 13 16 17 16 15 13 12 12 12 11 8 6 6 6 6 6 7 8 9 10 9 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 10 8 7 6 7 7 8 7 7 7 7 8 9 10 11 12 14 14 14 13 13 13 14 14 14 13 12 11 10 8 7 6 7 8 9 8 7 6 6 6 7 8 10 11 12 13 14 15 15 15 15 16 16 16 17 17 18 18 19 20 21 20 16 12 7 2 0 -0 1 2 4 7 8 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 11 10 10 11 11 11 11 12 12 13 13 12 12 12 12 11 11 10 10 9 9 10 10 10 10 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 10 10 10 10 11 12 14 16 15 14 13 13 13 13 12 10 8 7 6 6 6 7 8 9 9 9 8 7 7 8 9 11 12 13 13 13 12 12 12 12 13 13 13 11 8 6 5 5 5 4 4 5 7 10 11 13 14 14 15 15 15 15 16 17 17 17 15 13 12 10 9 7 6 6 7 8 8 7 6 5 5 5 6 7 8 9 10 10 11 11 12 12 13 15 16 17 17 17 17 17 19 21 21 21 19 14 9 5 2 1 1 2 5 7 9 9 10 9 9 9 9 9 10 10 nan
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nan 11 12 13 13 12 10 8 8 9 10 10 10 10 11 11 11 11 10 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 8 9 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 9 9 9 10 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 14 15 15 14 12 9 8 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 16 17 16 15 11 8 7 7 7 8 9 9 10 10 10 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 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 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 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 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 11 10 10 10 10 10 9 9 10 10 10 9 9 9 nan
nan 15 17 17 15 10 5 3 2 3 5 6 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 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 10 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 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 nan
nan 13 16 18 15 9 3 -0 -1 2 5 6 7 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 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 11 11 10 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 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 11 10 10 10 9 9 9 nan
nan 13 16 17 15 9 4 2 2 5 7 7 8 9 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 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 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 12 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 12 11 11 10 10 10 10 10 nan
nan 13 15 16 14 11 9 7 6 5 5 6 7 9 10 10 10 10 10 9 9 9 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 9 9 9 9 8 8 8 8 8 8 8 9 10 11 10 10 10 9 10 10 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 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 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 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 nan
nan 13 14 14 14 14 12 9 6 3 3 4 7 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 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 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 12 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 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 nan
nan 12 13 13 13 13 11 8 6 4 5 6 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 13 12 11 11 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 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 10 10 10 9 9 9 9 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 11 12 12 12 11 10 8 8 8 8 9 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 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 13 13 13 12 11 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 10 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 9 9 9 9 10 10 10 10 10 10 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 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 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 9 9 9 9 9 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 11 11 12 12 12 13 13 13 12 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 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 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 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 10 10 10 11 11 11 11 11 11 11 11 10 10 nan
nan 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 11 12 13 13 13 13 12 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 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 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 10 nan
nan 10 10 10 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 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 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 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 nan
nan 10 10 10 10 10 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 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 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 9 9 8 8 9 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 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 9 9 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 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 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 8 9 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 8 9 9 9 9 9 9 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 9 9 9 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 10 10 10 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 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 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 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 8 9 10 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 14 14 14 14 13 12 11 10 10 9 nan
nan 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 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 9 9 9 9 9 9 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 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 8 8 7 7 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 12 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 12 12 11 11 11 10 9 nan
nan 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 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 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 7 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 12 12 12 12 12 12 13 14 15 15 14 14 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 12 12 11 9 8 8 8 8 9 10 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 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 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 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 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 12 13 13 13 12 12 13 13 14 15 15 15 15 15 14 14 14 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 9 9 9 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 8 8 9 9 10 10 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 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 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 11 11 11 12 11 10 9 9 9 9 9 9 10 11 12 12 11 11 11 10 11 11 11 11 11 11 11 10 9 9 11 12 13 13 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 12 13 13 14 15 15 15 15 14 14 15 nan
nan 10 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 10 8 8 8 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 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 12 11 11 11 12 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 10 12 13 14 13 12 11 11 11 12 12 12 11 11 11 12 14 14 15 14 13 13 12 12 12 12 11 10 9 10 10 11 12 12 12 11 11 11 12 12 12 12 12 13 14 15 16 17 17 17 17 16 15 nan
nan 10 10 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 12 11 11 11 11 11 12 13 14 14 13 12 12 11 10 9 7 6 5 5 6 6 6 7 7 7 7 7 8 10 13 14 14 13 12 11 10 10 9 9 9 8 9 10 12 13 14 14 13 12 12 12 12 12 10 9 8 7 8 9 10 10 10 10 9 10 11 12 12 11 11 10 10 11 12 13 14 15 15 15 14 13 nan
nan 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 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 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 12 12 13 12 11 12 12 11 11 12 14 15 14 12 11 11 10 9 8 6 5 4 4 4 4 5 5 6 6 6 6 7 9 11 12 11 10 9 8 7 6 5 4 4 6 9 11 12 13 13 12 12 11 12 12 12 10 8 8 8 9 10 11 11 10 8 8 8 9 11 11 12 11 10 8 8 8 9 11 11 12 12 11 10 10 nan
nan 10 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 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 11 12 13 13 13 13 12 12 12 11 11 11 12 12 11 10 9 9 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 7 6 4 3 3 2 1 -0 -0 2 6 9 11 11 11 10 10 11 11 12 11 10 9 8 10 11 14 15 15 13 11 10 10 11 12 12 12 12 11 10 9 8 8 10 11 11 11 10 9 8 7 nan
nan 11 11 11 11 12 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 9 9 8 6 7 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 6 4 3 1 1 1 1 0 -1 1 3 6 8 8 8 8 9 10 11 12 11 11 10 10 12 14 16 17 16 16 15 14 15 16 16 16 15 14 13 12 12 11 10 10 10 11 11 11 10 9 9 8 nan
nan 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 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 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 10 9 8 7 7 7 7 6 5 6 7 8 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 9 7 6 5 4 4 4 4 4 3 3 4 5 6 6 6 7 9 12 13 13 13 12 11 11 13 15 17 17 16 15 15 15 16 17 18 18 16 15 14 13 13 13 12 11 10 9 10 12 13 14 14 14 13 nan
nan 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 11 11 11 11 11 11 10 9 7 6 5 5 5 5 5 5 6 8 10 11 11 12 13 14 15 14 14 13 13 13 13 12 12 11 10 8 7 6 6 6 6 6 5 5 6 7 7 7 7 8 10 12 15 16 15 14 13 13 13 14 15 15 15 15 14 13 13 13 14 15 15 14 14 13 13 13 14 15 14 13 11 10 10 12 14 15 16 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 2 2 1 0 0 0 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 1 2 3 4 12 15 12 7 4 3 2 2 2 4 6 11 13 16 15 10 3 3 3 6 12 13 3 2 3 3 4 4 4 4 4 4 6 11 18 25 32 26 13 8 5 4 3 3 3 6 14 22 24 23 24 25 30 39 40 34 38 89 87 80 69 50 30 24 29 35 40 49 72 136 195 210 193 180 170 190 163 127 128 135 125 120 129 159 209 259 303 314 298 254 159 269 248 230 282 425 603 614 528 412 287 124 41 20 13 9 7 4 4 6 12 28 59 91 133 129 118 127 140 181 151 126 142 198 281 338 395 440 476 531 570 599 631 668 719 797 855 906 947 877 727
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