Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 11 10 9 9 8 8 8 8 8 8 8 7 6 5 6 7 9 12 14 15 15 14 13 14 16 17 17 15 13 13 12 12 11 11 10 11 11 12 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 7 7 7 8 8 7 7 7 8 8 9 11 12 13 14 15 16 15 14 12 12 12 11 10 9 8 8 8 9 9 9 8 8 7 6 6 6 7 7 6 6 7 8 8 7 6 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 10 10 9 8 8 7 8 9 9 9 10 10 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 7 6 7 8 9 9 9 8 8 8 9 9 8 9 10 10 9 8 7 7 6 nan
nan 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 12 15 17 19 19 17 15 15 15 15 13 12 11 11 11 10 9 9 10 10 11 12 12 12 12 12 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 11 9 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 9 10 11 12 14 15 15 13 12 11 12 12 11 10 10 9 9 9 9 9 8 8 7 7 6 7 8 7 7 7 7 8 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 9 9 8 7 7 8 9 10 10 10 10 9 9 8 8 9 10 12 12 11 9 8 8 8 9 9 9 8 8 7 7 7 8 9 9 8 7 7 8 8 8 7 8 9 9 9 8 8 7 7 nan
nan 10 11 11 10 9 9 8 8 8 7 8 8 9 10 10 11 12 13 15 17 20 23 23 21 18 15 14 12 10 9 9 9 8 7 7 8 9 9 10 11 11 11 11 11 11 11 10 9 8 8 8 9 10 11 11 12 12 12 11 11 12 12 11 9 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 11 13 14 13 12 11 11 11 11 10 10 11 10 10 9 8 8 8 8 8 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 6 7 8 10 10 10 10 9 8 8 8 9 10 12 12 11 8 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 8 7 nan
nan 9 10 10 10 9 9 8 7 7 7 8 9 10 10 11 11 13 14 16 18 20 23 23 21 18 14 12 10 8 8 8 8 7 5 5 6 7 8 9 10 11 11 10 10 10 11 10 9 8 8 8 8 8 9 11 11 11 11 11 11 12 12 11 9 8 7 8 9 9 9 9 9 9 9 9 7 7 7 7 7 7 8 9 10 12 12 13 12 11 11 10 10 9 10 10 10 9 9 9 9 9 8 8 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 8 9 10 10 10 9 9 9 9 9 9 10 11 11 9 7 6 5 6 7 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 nan
nan 7 9 10 10 9 9 8 7 7 8 8 9 9 9 9 10 11 12 14 15 16 17 17 15 13 11 9 8 7 7 7 8 7 4 4 5 6 7 8 9 11 12 11 10 9 10 10 10 9 9 8 8 8 8 10 10 10 10 10 10 11 11 11 9 8 7 7 8 9 9 9 8 9 9 9 9 8 7 7 6 7 8 9 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 9 8 7 6 6 7 7 7 8 8 8 7 7 7 8 8 8 7 nan
nan 6 7 8 9 9 9 8 7 7 8 8 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 6 6 6 7 7 5 5 5 6 7 8 9 11 12 11 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 7 8 8 8 8 9 10 11 12 11 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 8 6 6 7 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 11 11 12 12 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 9 10 10 10 8 7 6 6 7 7 8 9 9 8 7 7 8 8 8 7 7 nan
nan 6 6 7 7 8 8 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 6 6 6 6 7 8 8 8 9 10 10 9 9 9 10 11 11 10 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 6 7 8 8 7 8 9 10 11 11 10 10 9 9 10 10 10 10 10 10 9 9 8 8 7 7 8 9 9 10 9 7 6 6 7 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 9 10 11 12 13 13 12 11 10 9 9 8 8 9 9 10 9 8 8 8 8 9 9 10 10 9 8 8 7 7 8 8 9 9 9 8 8 7 7 7 7 7 nan
nan 8 6 6 7 7 8 7 7 7 7 6 6 6 5 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 6 5 5 5 6 7 8 9 9 9 9 8 8 8 9 9 10 11 12 11 10 8 7 7 6 5 5 5 6 6 5 5 5 5 5 6 6 6 5 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 10 9 9 9 10 11 11 11 10 10 9 9 8 8 7 8 9 9 10 10 9 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 8 7 6 6 7 7 8 9 10 11 12 13 12 11 11 10 10 10 9 8 8 7 6 6 5 6 8 9 10 10 9 9 9 9 8 7 7 8 9 9 10 10 9 7 6 6 7 7 nan
nan 9 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 5 6 6 7 7 7 7 7 8 8 7 6 6 6 7 8 9 10 11 11 10 9 8 8 9 9 10 11 12 12 10 8 7 5 4 4 4 5 5 4 4 4 3 3 4 4 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 7 8 9 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 8 7 8 9 10 9 7 6 6 7 7 7 8 8 9 11 12 12 13 12 12 13 12 10 8 7 5 4 5 6 8 10 11 11 9 9 9 9 9 8 7 6 7 8 9 10 9 8 7 6 7 8 8 nan
nan 10 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 6 6 7 7 7 6 6 7 8 9 10 10 11 11 11 11 10 9 9 8 9 10 12 12 12 10 9 7 7 6 6 6 6 5 4 4 4 4 4 5 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 7 8 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 9 8 8 8 9 11 10 9 7 7 7 7 6 6 7 8 9 10 12 13 14 14 14 13 11 9 7 5 5 6 8 10 11 11 10 9 8 8 9 9 9 7 7 7 8 8 9 8 8 7 8 9 9 9 nan
nan 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 10 10 10 10 10 11 11 11 10 8 8 10 12 12 12 12 11 11 10 10 9 9 8 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 10 9 8 7 7 6 6 6 7 7 8 10 11 13 14 14 14 13 11 9 7 7 8 10 11 11 10 9 9 9 9 10 9 8 7 7 7 8 9 8 7 7 8 9 9 9 9 nan
nan 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 7 7 8 8 9 9 9 10 11 10 9 8 8 8 8 8 8 8 8 7 7 7 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 6 7 7 7 7 9 10 11 12 13 13 12 11 10 10 10 10 10 10 9 8 8 9 10 10 9 7 6 6 6 7 7 6 5 6 7 7 8 8 7 nan
nan 6 6 6 6 6 5 5 5 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 10 9 9 9 10 10 10 10 11 11 11 10 10 10 11 11 11 12 12 11 11 10 11 10 9 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 7 6 6 7 9 11 12 13 13 12 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 9 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 7 8 8 9 9 10 11 12 11 11 10 10 9 8 8 8 8 8 8 9 9 8 7 7 6 5 4 4 3 4 4 5 5 5 5 6 nan
nan 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 7 6 6 6 5 6 6 7 7 8 8 9 10 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 10 11 12 13 13 12 12 12 12 10 9 9 10 11 12 12 11 11 9 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 9 12 13 14 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 9 10 10 9 9 8 8 7 8 8 8 7 7 8 8 8 8 7 6 5 4 4 4 5 5 4 3 3 3 5 nan
nan 8 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 6 5 5 6 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 10 12 12 11 10 10 10 11 12 13 13 13 13 13 12 11 10 10 11 12 12 11 9 8 8 8 9 9 10 9 9 9 9 10 10 9 8 7 6 6 8 10 12 13 14 13 12 12 10 9 9 9 9 9 8 8 8 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 9 10 10 9 8 8 9 9 10 10 10 9 8 7 7 6 6 7 7 7 6 5 6 7 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 5 4 4 4 6 nan
nan 14 12 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 11 12 12 11 11 10 11 12 12 12 12 12 13 13 12 12 12 12 12 11 9 8 7 8 9 9 9 9 9 9 8 9 9 10 10 9 8 7 6 7 8 10 12 13 13 13 13 11 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 8 8 8 8 8 8 9 10 10 9 8 8 8 9 11 11 11 10 9 9 8 7 6 6 6 6 5 4 3 5 7 8 9 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 9 9 8 8 8 8 7 7 8 8 nan
nan 18 17 15 15 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 8 8 8 8 9 9 9 8 8 9 10 11 11 12 12 11 10 10 10 10 11 11 12 13 13 13 13 13 12 11 10 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 8 6 6 7 9 10 11 12 13 13 12 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 11 11 11 11 10 10 9 8 7 7 6 6 5 4 4 4 6 8 10 10 10 9 8 7 6 6 6 6 5 5 5 6 7 9 9 9 8 7 8 9 9 9 10 10 nan
nan 17 16 16 16 16 16 14 13 11 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 7 6 6 6 7 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 10 11 11 11 11 11 10 10 9 9 9 8 8 7 6 5 5 6 8 9 11 11 11 10 9 8 7 6 5 5 4 4 5 6 7 7 6 5 5 6 7 8 9 9 9 nan
nan 13 13 13 13 14 13 13 12 10 10 9 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 10 9 8 8 7 7 6 7 7 8 9 8 8 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 8 7 7 6 7 7 6 5 6 6 7 6 6 6 6 6 7 8 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 9 8 7 6 6 6 8 9 11 12 12 12 12 11 9 7 6 4 3 3 4 3 3 3 3 3 4 5 7 7 8 8 8 nan
nan 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 11 11 11 10 9 9 8 7 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 6 6 7 7 7 7 6 6 6 6 6 8 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 7 7 8 9 10 10 11 11 11 11 10 9 7 6 5 4 4 3 2 1 2 3 5 7 8 8 8 8 7 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 8 8 8 9 10 11 11 11 10 10 10 9 8 8 8 8 8 8 8 9 10 11 10 10 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 6 7 8 7 7 7 7 7 7 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 8 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 8 9 9 9 9 8 8 nan
nan 7 7 7 7 7 8 8 9 9 9 10 10 10 9 8 8 8 8 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 9 9 9 8 8 9 9 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 7 7 7 8 8 8 8 8 7 7 8 9 9 9 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 nan
nan 7 6 6 6 7 8 8 9 9 10 10 10 9 9 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 7 8 9 9 8 8 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 10 9 9 9 9 nan
nan 7 7 6 6 7 8 9 9 10 9 9 9 9 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 9 9 9 9 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 9 8 8 8 9 9 nan
nan 8 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 9 8 8 8 8 8 9 9 8 8 7 7 6 6 7 7 7 6 6 7 8 nan
nan 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 10 11 9 8 7 7 8 9 9 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 6 5 4 4 5 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 9 9 9 8 7 7 8 9 10 10 10 9 8 8 8 9 9 8 8 7 7 6 6 7 7 6 6 6 6 7 nan
nan 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 10 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 10 10 9 8 8 7 8 8 8 7 6 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 10 11 11 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 nan
nan 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 10 9 8 7 7 8 10 10 9 6 5 6 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 7 8 8 9 9 9 8 6 6 7 7 8 8 8 7 7 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 9 9 9 9 10 10 10 10 9 9 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 nan
nan 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 10 10 11 12 11 10 9 9 8 7 8 10 11 12 10 7 7 8 9 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 9 10 11 11 9 7 8 8 9 9 9 9 8 8 8 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 10 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 nan
nan 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 8 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 10 12 12 10 9 8 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 12 13 12 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 8 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 nan
nan 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 10 9 9 10 10 9 9 9 10 9 8 8 8 9 9 9 9 10 11 11 11 12 12 13 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 10 10 10 9 9 10 10 11 11 10 10 9 10 10 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 9 8 8 7 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 11 12 13 12 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 9 9 8 9 9 9 8 8 8 9 9 10 10 11 11 12 13 13 14 13 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 8 8 7 7 7 8 10 10 10 10 9 10 10 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 9 10 11 11 11 11 10 10 10 11 12 13 12 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 9 9 10 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 13 13 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 7 6 6 7 9 10 10 10 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 12 11 11 10 10 11 11 12 11 nan
nan 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 11 11 11 10 10 9 9 9 8 8 9 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 7 6 7 9 10 10 10 9 9 9 9 9 8 8 7 7 8 8 8 8 9 10 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 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 8 8 8 9 9 9 9 10 10 11 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 9 10 10 11 12 11 11 11 10 10 10 11 12 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 10 9 8 7 8 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 11 11 10 11 nan
nan 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 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 10 10 10 10 10 10 11 11 11 12 11 11 10 10 11 12 12 12 11 10 10 10 10 10 10 11 11 11 10 9 9 9 11 11 11 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 10 9 9 8 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 12 11 10 10 10 nan
nan 6 6 6 6 6 6 6 6 5 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 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 10 9 9 8 9 9 9 9 10 10 10 10 10 10 12 13 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 9 9 8 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 9 9 8 8 9 9 8 7 7 7 8 9 9 9 9 9 9 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 10 11 11 11 11 10 9 9 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 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 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 12 13 13 12 11 10 10 10 11 11 10 10 9 9 9 10 10 10 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 8 9 8 8 8 9 9 9 9 9 8 8 8 9 10 10 9 9 9 10 10 9 8 8 7 7 8 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 nan
nan 6 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 11 12 12 13 13 12 11 10 10 10 10 10 9 9 10 10 11 11 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 9 9 10 11 10 10 9 8 8 8 8 9 9 10 10 8 8 7 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 nan
nan 6 5 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 13 14 14 13 12 11 10 10 10 9 9 10 10 11 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 6 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 8 8 9 10 10 10 11 11 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 nan
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nan 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 7 6 5 4 4 4 5 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 8 8 8 9 8 8 8 9 10 10 10 10 9 7 5 4 4 4 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 11 12 14 16 17 15 14 13 12 12 12 13 13 12 10 7 6 7 8 10 12 13 14 14 14 13 11 10 10 10 11 11 12 11 11 10 10 10 10 9 9 9 9 10 10 9 9 11 14 17 17 15 9 5 1 -2 -4 -4 -1 4 6 7 8 10 11 11 10 9 9 10 11 11 12 nan
nan 9 9 10 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 6 5 5 5 5 6 6 6 7 7 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 10 11 10 9 8 7 5 4 4 4 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 16 16 15 14 13 13 13 13 13 12 10 7 6 7 8 9 10 11 13 14 14 13 12 11 10 10 10 11 12 12 12 12 12 12 10 8 7 6 7 8 9 9 9 11 15 17 17 12 7 5 3 1 -1 -2 1 4 7 8 8 9 10 11 10 10 9 10 10 11 11 nan
nan 9 9 9 9 8 7 7 6 5 5 4 4 4 5 6 6 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 11 11 10 9 8 7 6 5 5 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 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 12 14 15 16 15 14 13 13 13 13 13 12 9 6 6 7 9 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 13 14 15 16 13 8 5 2 2 4 7 8 9 12 16 17 16 11 7 6 5 4 2 1 3 6 8 8 8 8 8 9 10 9 9 10 10 10 11 nan
nan 10 9 9 8 7 6 5 4 4 4 3 3 4 6 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 10 11 13 13 12 11 9 8 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 12 13 15 15 15 14 13 13 13 13 13 12 8 6 5 6 8 10 11 12 13 13 13 12 12 12 13 13 13 12 11 12 13 16 19 21 18 13 7 1 -2 -1 3 5 8 12 16 17 15 11 9 8 8 6 3 2 4 7 9 9 8 7 7 8 9 9 9 10 10 10 10 nan
nan 10 10 9 8 7 5 4 4 3 4 5 6 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 10 11 13 14 14 13 12 10 8 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 12 13 14 15 15 14 13 13 13 13 13 13 10 7 5 6 8 10 12 13 14 14 13 11 10 10 12 13 14 13 12 12 13 15 20 23 22 19 14 5 -3 -4 -2 1 5 10 13 14 13 11 10 10 10 7 4 2 4 7 10 10 9 8 8 8 9 9 9 9 9 10 10 nan
nan 9 9 8 8 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 8 8 8 9 9 10 10 11 13 13 12 11 11 13 14 13 12 11 10 8 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 13 14 14 13 13 12 12 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 12 13 15 15 14 13 13 13 13 13 13 11 8 5 5 7 10 12 13 14 14 13 12 10 9 10 11 12 12 12 12 13 15 18 21 23 23 21 13 5 0 -2 -1 2 6 9 10 11 10 10 10 10 8 4 2 3 6 9 10 10 9 9 10 10 10 9 8 8 9 10 nan
nan 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 11 12 14 15 14 12 10 11 12 12 10 9 9 10 10 10 10 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 12 12 13 14 14 14 13 13 12 11 11 11 10 10 9 10 10 11 11 12 12 13 13 12 12 12 11 11 11 11 13 14 15 14 14 13 13 13 13 13 12 9 5 3 5 8 10 12 13 14 14 13 11 9 9 10 11 11 11 12 12 14 15 17 19 23 24 21 16 11 5 2 2 5 7 8 9 9 10 11 11 9 5 1 0 3 6 8 9 8 8 10 11 10 9 8 9 10 11 nan
nan 4 4 4 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 10 10 10 9 9 9 8 8 8 9 11 11 11 10 9 9 9 10 11 12 13 14 15 14 12 10 9 9 10 10 10 10 11 12 12 12 12 12 11 10 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 12 12 11 11 10 9 9 8 8 10 11 11 12 12 12 12 12 13 13 12 12 11 11 11 12 13 14 15 14 14 13 13 13 14 13 10 5 2 2 4 7 9 11 13 14 14 12 10 9 9 9 10 11 11 12 12 13 14 15 19 22 24 24 22 16 9 7 6 7 7 8 8 9 10 11 10 7 3 -1 -1 2 6 8 8 8 9 10 10 10 10 10 11 12 nan
nan 4 4 5 6 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 11 12 12 11 9 8 9 11 12 13 13 14 14 13 11 9 8 8 9 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 9 10 10 11 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 11 12 12 12 11 10 10 10 10 10 9 8 8 8 8 10 11 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 14 15 14 14 13 13 13 14 14 12 8 3 1 3 5 7 9 11 12 13 12 11 10 10 10 10 10 10 11 11 11 12 12 14 17 21 26 28 25 17 12 9 7 7 7 8 8 9 11 12 10 6 1 -2 -1 3 6 7 7 8 10 10 10 11 11 11 11 nan
nan 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 12 14 14 12 11 9 9 11 12 13 13 13 12 11 10 9 8 9 9 11 12 12 12 11 11 11 11 11 11 10 10 9 8 7 7 8 9 11 12 13 13 12 11 11 11 11 10 10 11 11 12 12 12 11 10 9 11 12 11 11 10 9 9 9 9 9 9 8 8 9 9 11 12 13 13 12 12 12 13 14 15 14 13 13 13 13 13 13 14 14 14 14 13 14 14 14 14 14 11 7 4 5 7 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 13 17 24 29 28 22 16 11 8 7 7 7 8 9 11 12 11 9 3 -1 -2 -0 4 6 7 8 8 9 9 8 7 4 5 nan
nan 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 12 10 9 9 11 12 13 12 11 10 10 9 9 9 10 11 12 12 11 11 11 11 10 10 11 10 10 10 9 9 8 8 8 10 11 13 13 13 12 12 11 11 10 10 10 11 12 13 13 11 9 9 9 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 13 14 16 16 15 14 12 11 10 9 10 11 13 14 14 14 14 14 14 15 15 13 10 8 8 9 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 15 21 26 27 24 18 13 9 8 7 7 7 8 10 11 12 10 5 -1 -3 -2 2 6 7 7 7 8 8 5 -0 -4 -1 nan
nan 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 13 13 13 12 12 12 12 12 12 13 14 14 13 12 12 11 10 9 9 10 10 11 12 11 11 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 9 10 12 13 13 12 9 7 7 8 9 9 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 14 15 17 18 17 16 14 12 9 6 5 6 8 11 14 16 16 15 15 15 15 15 15 12 9 7 8 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 15 19 24 26 23 18 14 11 9 8 8 8 9 9 10 11 11 7 1 -3 -3 3 8 9 7 6 6 7 4 -2 -6 -5 nan
nan 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 13 14 14 14 14 13 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 10 11 11 11 8 5 5 6 7 7 7 7 8 9 9 10 10 10 12 12 12 12 12 11 11 11 11 13 14 16 17 18 18 18 17 15 14 13 11 10 8 7 9 12 16 17 16 15 15 15 16 16 12 7 3 2 3 6 8 9 9 9 9 9 8 8 8 8 9 10 10 11 11 12 12 12 15 19 24 24 22 18 14 12 10 9 8 8 9 9 9 11 11 8 3 -2 -1 5 10 12 9 6 6 6 5 -0 -4 -5 nan
nan 9 10 10 10 10 9 9 9 10 10 11 12 13 13 14 14 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 6 5 5 6 7 9 9 9 9 9 9 10 10 10 11 11 10 8 6 6 7 7 7 7 8 8 9 10 11 11 11 12 12 13 13 13 12 11 11 11 12 14 15 16 16 17 17 17 16 16 15 16 17 16 14 11 10 12 14 16 16 15 15 15 16 16 13 8 2 -2 -2 -0 3 5 6 8 10 11 10 8 8 8 8 9 10 11 12 13 13 14 16 21 24 23 20 17 14 12 11 10 9 9 9 9 9 10 9 8 5 3 4 8 11 12 10 8 8 8 6 2 -2 -4 nan
nan 9 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 8 8 8 8 7 6 5 5 6 8 10 10 10 9 9 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 11 12 12 12 12 12 13 14 14 14 13 12 11 12 12 14 14 14 14 14 15 15 15 15 14 15 16 16 16 15 13 12 12 12 12 12 13 14 15 15 14 12 8 3 1 -1 -1 0 2 5 9 11 11 10 9 9 9 9 10 11 12 13 13 14 18 23 25 23 19 16 13 12 11 10 10 9 9 9 9 8 7 5 6 9 12 13 12 10 9 9 9 9 7 3 -1 -3 nan
nan 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 7 9 10 10 10 10 10 11 11 12 12 11 11 10 10 10 11 11 12 11 10 11 12 13 14 13 12 12 13 15 15 15 14 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 15 17 18 15 12 8 6 6 8 9 11 12 13 14 15 14 11 8 5 2 -0 -0 2 5 8 10 11 11 11 10 10 10 11 12 12 12 13 17 23 24 23 19 15 13 11 10 10 10 10 10 10 9 6 4 1 4 12 16 17 13 10 9 9 9 9 7 2 -2 -2 nan
nan 11 12 13 13 12 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 11 11 11 12 13 13 11 11 12 13 14 14 13 13 13 13 14 14 15 15 14 13 12 12 11 11 11 12 11 12 12 14 18 20 18 13 7 3 4 5 7 10 11 12 13 15 16 16 15 13 10 5 1 -1 0 3 7 9 11 11 11 11 11 12 13 13 12 12 15 20 21 21 18 14 12 11 10 10 10 10 11 11 10 7 2 -1 2 9 13 16 13 10 9 9 9 8 5 1 -2 -1 nan
nan 12 13 13 13 12 11 10 10 9 9 10 10 10 11 11 12 12 12 12 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 10 10 11 10 10 10 11 11 12 12 12 12 11 11 11 12 13 13 12 12 11 12 12 12 11 10 10 11 11 11 11 11 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 12 13 16 18 17 15 10 8 8 9 10 11 12 13 14 14 15 16 17 18 16 11 6 1 -1 -0 4 8 10 11 12 12 12 13 14 15 14 13 13 16 17 18 16 14 12 11 10 10 10 11 12 14 15 12 7 3 3 6 10 12 12 10 10 9 8 6 3 1 1 3 nan
nan 12 13 12 12 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 14 13 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 14 15 15 15 15 16 16 16 16 16 16 16 16 16 16 18 20 20 17 13 7 1 -0 2 6 9 11 10 10 11 12 14 15 15 14 13 13 14 14 14 13 11 10 10 10 10 11 14 18 21 21 18 13 10 9 9 10 10 10 9 7 5 3 3 3 5 8 nan
nan 11 12 12 12 11 11 10 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 11 11 10 9 9 10 10 11 11 12 12 12 11 12 13 14 14 14 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 13 15 18 21 23 24 24 24 23 22 19 18 17 17 18 20 21 20 19 12 4 -0 -1 2 6 9 9 10 10 11 13 14 14 13 12 12 12 12 12 11 11 11 11 11 11 11 14 20 25 27 27 25 20 14 11 10 10 9 6 4 3 3 4 7 9 10 nan
nan 12 12 12 12 12 11 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 10 11 12 12 11 10 9 9 9 10 11 12 13 13 13 13 12 13 14 14 13 12 11 11 12 12 11 11 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 11 11 12 14 18 21 23 25 26 27 26 24 21 20 20 21 22 22 22 23 22 17 9 2 -2 -0 4 8 11 12 12 12 12 12 13 13 13 14 13 12 12 12 12 12 13 12 12 12 13 17 22 26 29 29 25 20 14 11 10 7 3 0 1 4 7 10 11 11 nan
nan 13 13 13 12 11 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 9 9 10 11 11 11 11 10 9 9 9 10 11 12 13 13 13 13 13 13 13 14 13 12 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 10 11 12 14 16 18 20 21 21 21 21 21 23 25 27 28 28 27 27 26 24 20 16 10 9 11 14 17 19 17 15 13 13 13 15 17 18 17 13 12 11 12 12 12 11 11 11 11 13 17 21 26 28 26 22 18 14 11 7 3 2 3 6 9 11 11 11 nan
nan 12 12 12 11 10 10 9 9 9 10 10 10 9 9 9 10 10 10 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 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 12 13 12 12 11 11 11 11 11 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 11 11 11 11 11 10 11 11 12 13 14 15 16 16 16 18 21 24 26 27 29 31 32 32 32 31 30 27 24 20 19 20 22 24 22 20 17 15 14 16 19 20 18 13 10 10 11 10 9 9 10 9 9 9 12 18 23 26 26 24 20 17 13 10 7 6 7 9 10 11 11 11 nan
nan 11 11 11 10 10 9 9 9 10 10 10 10 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 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 10 10 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 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 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 15 18 20 20 21 22 25 28 30 31 30 28 25 22 20 19 19 20 22 22 21 20 17 16 18 20 21 17 12 10 11 13 12 11 10 9 9 7 7 10 15 19 22 23 23 20 17 14 12 10 10 10 11 11 11 11 11 nan
nan 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 6 6 7 8 9 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 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 12 11 11 12 13 14 14 14 14 15 17 18 20 21 21 19 17 15 14 14 14 15 16 17 18 20 20 19 19 21 22 19 14 11 12 15 16 16 15 12 10 9 9 10 13 15 17 17 17 16 15 13 13 12 11 11 11 11 12 12 13 nan
nan 11 10 10 10 10 9 9 10 9 9 10 10 10 10 9 9 9 9 9 9 9 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 10 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 10 9 9 8 8 7 6 5 5 7 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 6 6 7 8 9 11 12 12 12 12 12 13 13 13 13 13 13 12 11 11 10 11 12 13 14 15 18 19 18 18 19 20 18 15 13 13 14 16 16 15 14 13 12 11 11 12 13 14 14 13 13 12 12 12 11 11 11 12 12 12 13 15 nan
nan 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 8 10 11 12 11 10 10 10 10 10 9 10 10 9 8 8 8 8 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 8 5 2 -1 -3 -4 -3 -2 1 3 6 8 10 11 12 12 12 12 12 11 11 11 10 8 7 7 8 10 12 13 13 14 14 15 15 15 15 14 13 12 12 12 13 13 12 12 12 12 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 13 14 nan
nan 10 10 10 10 9 9 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 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 8 7 6 6 7 7 8 8 9 11 13 13 12 11 10 10 9 8 8 8 9 9 9 9 9 9 7 6 3 1 -1 -1 0 2 4 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 6 2 -3 -6 -8 -8 -7 -6 -6 -5 -4 -2 0 3 6 8 9 9 8 8 9 10 10 9 7 5 4 4 8 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 12 12 13 13 12 11 10 10 10 10 11 11 11 12 12 nan
nan 10 10 9 9 9 10 10 10 10 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 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 9 9 10 10 10 9 9 9 10 11 11 11 11 12 13 14 13 12 11 10 9 8 6 5 4 4 4 5 7 8 8 6 3 -2 -6 -7 -6 -5 -4 -2 1 2 3 4 4 6 7 8 8 8 9 9 9 8 9 9 9 8 6 3 -2 -6 -9 -9 -7 -3 -0 0 -0 -2 -3 -3 -3 -2 -1 0 1 1 1 2 3 5 7 8 7 6 3 2 4 8 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 11 11 11 nan
nan 10 9 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 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 12 11 11 11 11 9 7 4 2 -0 -2 -1 2 3 4 3 1 -2 -4 -3 -2 -2 -2 -3 -4 -5 -5 -5 -3 -0 3 5 6 8 9 9 8 6 5 3 1 -1 -4 -8 -11 -12 -10 -5 0 5 7 8 8 8 7 5 3 2 -0 -2 -2 -3 -3 -3 -2 -2 1 6 8 9 7 5 5 7 10 11 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 nan
nan 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 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 13 13 12 12 12 12 12 11 11 11 11 12 13 12 11 9 7 4 2 2 1 1 -0 -2 -2 -2 1 4 5 5 5 3 -0 -4 -7 -8 -6 -4 -2 0 3 7 9 9 7 3 -0 -4 -8 -10 -12 -12 -11 -8 -2 3 8 10 12 12 12 13 14 14 13 12 10 7 6 4 3 1 -1 -2 -1 4 8 12 12 11 9 9 10 11 12 12 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 10 10 10 10 10 10 10 nan
nan 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 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 14 12 8 5 1 -1 -1 1 5 8 10 10 10 9 7 5 3 2 1 -0 -0 0 3 6 8 8 7 5 3 -0 -3 -5 -4 -3 0 4 8 11 12 13 14 14 14 14 15 16 17 18 18 17 16 14 12 9 6 4 3 5 7 10 12 12 12 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
351 268 190 119 69 36 17 10 8 8 9 11 12 9 5 2 5 11 16 22 31 45 57 64 64 63 61 46 62 154 256 311 372 436 495 559 622 684 744 797 849 866 863 863 853 808 714 603 555 563 594 639 686 699 646 600 560 507 463 438 430 439 481 557 608 578 498 414 343 266 198 239 276 301 313 310 295 283 279 274 268 259 245 228 218 210 205 203 204 205 206 212 220 226 219 201 173 134 88 45 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0
318 255 194 133 88 51 31 21 15 13 13 16 22 24 19 14 18 32 43 53 66 79 87 85 74 63 64 62 70 81 88 97 130 183 241 298 348 392 429 472 565 659 736 798 835 831 778 690 624 623 635 656 679 676 626 569 538 512 498 500 514 531 554 576 568 504 412 329 267 200 135 147 162 182 203 219 222 212 209 210 216 222 226 227 233 237 238 234 229 225 222 223 222 228 218 188 144 94 50 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0
276 238 197 146 101 67 44 30 22 20 24 33 44 50 48 48 59 79 95 100 98 98 95 85 68 58 66 68 52 33 22 23 38 68 109 149 190 229 262 297 354 438 522 595 654 699 720 702 655 640 636 635 636 634 610 553 529 537 544 549 559 577 601 589 516 422 329 254 204 154 109 102 97 94 100 110 116 111 109 123 139 151 163 181 200 214 217 214 211 209 208 208 211 216 204 165 105 50 21 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
238 216 187 147 106 73 49 33 26 30 44 63 86 105 119 124 123 120 110 89 68 58 59 59 52 48 55 45 26 12 5 5 9 18 41 72 109 146 179 210 247 298 350 398 437 478 525 556 557 560 572 580 578 567 545 486 439 450 454 449 457 488 530 514 419 316 227 166 131 98 68 53 42 35 36 43 50 49 39 49 64 80 99 123 147 166 172 174 175 178 184 191 197 198 180 131 71 28 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 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0
201 187 167 138 103 71 47 36 40 60 88 113 123 119 105 90 78 66 49 31 19 15 18 22 23 23 23 16 9 4 2 1 1 2 8 26 50 79 110 140 172 209 249 283 305 330 366 394 422 449 475 488 478 445 400 342 271 250 232 209 192 195 233 258 221 157 100 64 45 32 20 12 8 5 5 8 14 22 17 18 21 26 39 62 88 112 130 143 152 158 163 166 162 143 111 74 40 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 0 0 0
158 152 143 128 110 94 75 71 81 95 105 104 83 53 26 12 7 5 4 3 2 2 4 6 8 9 7 5 3 2 1 0 0 1 1 5 14 29 50 74 103 136 181 218 241 263 293 323 353 378 389 380 346 291 228 175 127 95 71 52 38 30 34 49 51 36 19 8 1 0 0 0 0 0 0 0 1 9 10 10 7 4 7 16 32 49 67 89 111 126 132 128 125 98 64 35 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 2 1 0 0 0
124 121 118 113 109 106 94 91 88 78 62 44 26 12 6 2 1 0 0 0 0 1 2 3 4 4 3 2 1 0 0 0 0 0 0 0 2 7 14 26 49 70 112 154 186 214 246 282 315 335 323 273 208 145 87 50 33 20 11 6 3 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 1 5 10 19 35 56 78 93 83 81 61 36 15 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0
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