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 14 13 13 12 12 12 12 11 11 12 12 13 13 12 11 10 10 8 7 6 6 7 8 10 10 8 6 5 6 8 10 13 14 14 13 11 9 7 8 10 12 11 10 9 10 11 12 13 13 13 12 11 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 7 8 9 9 10 9 8 8 9 10 9 9 8 8 8 7 6 7 8 9 8 8 8 9 9 9 9 9 10 11 11 11 11 11 12 12 11 11 10 11 11 10 10 9 9 9 9 9 9 9 7 6 6 6 7 8 8 8 9 8 8 7 7 6 6 6 7 7 7 7 6 6 7 9 10 11 11 10 9 8 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 nan
nan 13 12 11 10 11 11 11 11 11 12 12 13 13 13 13 12 11 10 8 7 6 7 8 10 10 8 7 6 7 8 11 13 14 14 13 11 10 9 10 13 14 13 11 10 9 9 10 12 13 13 13 12 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 9 8 8 8 9 9 9 8 9 9 9 8 7 8 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 9 9 8 8 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 9 8 7 5 4 5 6 8 9 10 10 10 9 8 8 8 9 10 10 10 10 11 10 11 11 10 10 9 9 10 10 10 10 9 9 nan
nan 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 8 7 7 7 8 9 10 9 8 8 8 9 11 12 13 12 11 11 11 11 12 13 13 12 11 10 9 9 9 11 12 12 12 12 13 14 14 14 13 13 13 13 12 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 11 10 10 9 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 9 9 9 9 8 9 9 10 9 7 6 6 6 7 8 9 10 10 9 8 7 7 7 6 6 7 8 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 10 nan
nan 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 12 12 10 9 10 11 11 11 10 10 10 9 9 9 9 10 11 11 11 10 11 11 12 13 13 13 13 13 13 13 12 11 10 11 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 10 10 10 9 8 8 8 9 9 9 9 9 10 10 9 10 11 11 10 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 10 10 10 8 6 5 5 6 8 9 10 10 9 8 9 9 8 6 5 5 6 9 10 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 8 8 9 10 10 9 8 9 nan
nan 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 11 12 11 11 12 12 13 14 14 11 10 11 11 11 10 9 8 8 8 8 9 10 10 11 11 11 10 10 10 10 11 12 12 12 11 12 12 11 11 11 10 10 11 11 12 12 12 11 11 11 12 12 11 9 9 8 9 9 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 10 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 7 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 9 7 6 6 6 7 7 8 8 8 8 8 9 8 7 6 5 6 8 9 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 8 8 8 8 9 nan
nan 6 6 7 7 8 8 8 8 8 8 7 7 7 6 7 8 9 10 11 10 10 10 10 10 11 11 11 12 12 14 15 16 15 13 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 11 10 9 8 7 7 7 7 6 5 5 6 7 8 8 9 9 9 9 9 9 10 11 11 10 10 9 8 8 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 6 6 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 11 11 11 9 8 7 7 5 4 4 6 8 8 9 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 10 10 9 8 8 8 7 7 6 5 5 6 7 7 8 9 nan
nan 5 5 6 7 7 7 8 8 7 7 7 6 6 6 7 7 9 10 10 9 9 9 8 9 10 10 11 11 12 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 6 6 7 8 9 9 9 10 11 12 12 11 10 9 8 7 6 6 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 10 11 12 12 11 10 9 7 5 4 5 8 9 10 10 10 10 10 9 8 8 7 7 7 8 8 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 6 7 7 8 nan
nan 5 5 6 6 6 7 7 6 6 6 6 6 6 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 10 10 9 9 9 9 10 10 11 12 11 10 9 10 11 10 9 9 8 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 7 8 8 8 8 7 5 4 4 6 7 8 9 10 10 10 10 11 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 8 8 9 9 9 9 8 9 9 8 8 7 7 6 5 5 4 5 5 6 7 8 9 11 13 14 14 13 13 12 10 9 9 8 9 9 9 10 10 10 10 9 8 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 nan
nan 5 5 5 5 6 6 6 5 5 5 6 6 7 7 8 8 9 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 12 13 12 10 9 8 7 6 6 7 7 7 7 6 6 6 7 7 6 6 5 4 3 4 4 6 6 6 6 7 7 8 9 9 9 11 12 12 11 10 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 9 9 9 9 9 9 9 9 9 8 8 8 7 6 4 4 4 5 6 7 8 9 11 13 15 15 15 16 17 18 17 15 12 10 8 8 8 8 9 10 9 8 7 7 7 7 7 5 4 5 6 6 7 7 7 8 8 9 9 8 7 6 6 6 7 8 nan
nan 5 4 4 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 8 9 9 10 10 10 10 9 8 8 10 13 14 13 12 11 9 9 8 8 7 7 6 5 5 5 6 6 5 5 5 4 3 3 3 4 5 6 6 6 6 7 8 8 9 10 12 14 13 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 9 9 9 9 9 8 8 7 6 6 5 5 5 5 6 6 7 7 8 9 10 9 9 9 9 9 9 9 8 8 9 9 7 5 4 5 6 7 8 8 8 9 11 13 13 14 16 19 21 23 21 17 13 10 8 7 7 8 8 8 6 6 7 7 8 8 5 4 4 5 6 7 8 8 8 8 8 8 8 7 7 7 8 8 8 nan
nan 5 5 5 5 6 5 5 5 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 9 8 8 9 12 15 15 13 12 11 11 11 9 8 7 6 5 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 7 8 8 9 10 11 13 14 13 13 14 15 16 16 15 14 13 12 12 11 10 10 9 9 9 9 9 9 9 8 7 7 7 6 6 5 5 6 6 7 7 8 9 9 9 9 9 8 9 9 9 8 8 8 9 10 10 9 7 7 9 10 10 9 8 8 8 9 10 12 13 15 18 20 20 17 14 11 9 8 8 8 7 6 6 6 6 7 8 7 5 4 4 5 6 7 8 8 8 8 8 8 7 8 8 9 9 8 8 nan
nan 7 7 6 7 6 6 5 5 5 6 6 6 7 7 8 8 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 10 9 8 9 12 15 15 14 12 10 11 12 11 10 8 6 5 5 5 5 6 6 7 8 9 10 10 9 8 8 8 8 8 8 9 10 11 12 12 12 12 12 13 14 16 17 17 17 16 15 15 14 14 13 13 12 11 11 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 13 13 13 13 12 11 9 7 7 7 8 9 10 11 12 12 13 13 12 12 11 11 10 10 9 7 6 6 6 7 7 6 4 4 5 5 5 7 8 9 9 9 8 8 8 9 10 10 9 8 7 nan
nan 9 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 13 15 16 14 11 10 10 12 14 14 12 10 8 8 8 9 8 8 9 9 11 13 13 13 12 11 10 9 9 9 10 12 14 14 12 10 9 9 10 12 14 16 17 16 16 16 16 16 16 16 16 15 15 14 13 13 12 12 12 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 11 13 15 17 18 18 16 15 13 12 10 9 7 7 7 8 8 9 9 8 9 10 11 12 12 12 11 11 10 9 7 6 6 6 6 5 4 4 5 4 5 7 9 10 10 10 9 8 8 9 10 10 9 8 8 nan
nan 8 8 8 8 7 7 6 6 6 6 6 5 6 6 6 6 6 6 5 5 6 7 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 9 8 8 8 9 9 11 13 15 16 14 12 10 10 12 14 16 16 14 12 10 11 11 11 10 10 10 11 12 14 13 13 12 11 10 9 10 12 13 14 14 12 9 7 6 6 7 9 12 13 13 13 13 14 15 16 16 17 17 17 17 17 16 15 15 15 15 15 15 14 14 13 13 13 13 13 13 13 12 12 11 12 13 13 13 12 12 12 12 12 13 14 15 16 18 19 17 15 14 12 11 9 8 7 7 8 8 9 9 9 9 9 10 11 11 11 11 11 10 8 5 4 5 5 6 6 6 6 6 5 6 9 10 10 10 10 9 8 8 8 9 9 8 8 7 nan
nan 8 8 8 8 8 7 7 7 7 7 6 6 6 5 6 6 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 10 11 12 14 15 14 13 11 11 11 13 15 16 15 13 12 11 11 10 10 9 10 10 11 11 12 11 11 10 11 12 13 13 13 14 13 12 9 7 5 4 4 5 7 8 9 10 10 11 12 13 14 15 17 18 19 19 18 17 17 17 17 17 18 18 18 17 16 14 14 13 14 14 14 13 13 14 15 15 14 13 12 12 12 13 13 14 14 14 16 16 15 13 12 11 10 9 8 7 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 7 6 5 5 7 8 8 9 9 8 7 7 8 9 9 9 9 9 9 8 8 9 9 8 8 8 nan
nan 7 8 8 8 8 9 9 8 8 8 7 6 6 5 5 5 6 6 6 6 7 8 8 9 9 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 9 9 10 11 11 13 14 14 13 13 12 12 12 13 13 13 13 12 12 11 10 9 9 9 9 9 9 10 10 10 11 12 14 14 13 12 11 11 11 10 9 7 6 5 5 6 6 7 8 9 10 10 10 11 13 14 16 17 18 18 16 16 16 17 17 18 18 18 18 17 15 13 12 12 13 14 14 14 14 15 14 13 12 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 8 9 9 10 10 10 10 9 8 7 6 5 5 6 8 8 8 7 7 8 8 8 9 8 nan
nan 8 8 8 9 9 9 9 8 8 8 7 6 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 13 13 13 12 12 12 13 13 12 10 10 9 8 8 8 9 9 9 10 11 12 12 11 10 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 10 10 9 9 10 11 12 14 14 14 13 13 13 13 14 15 15 16 16 16 15 13 11 10 10 11 12 13 13 13 12 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 10 9 8 7 5 3 3 5 7 7 7 6 6 6 7 8 9 9 nan
nan 9 9 9 9 9 8 8 8 7 7 7 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 14 15 15 15 13 12 12 13 13 12 11 10 9 9 8 9 9 10 10 10 10 10 9 8 7 7 7 6 6 7 7 7 7 6 6 6 7 7 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 12 13 14 14 13 11 10 9 8 9 10 11 11 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 12 13 13 12 12 11 11 9 8 7 6 5 4 4 5 6 6 6 5 5 6 7 8 9 10 nan
nan 10 10 9 9 8 8 8 7 7 7 6 6 5 5 5 5 5 6 7 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 10 10 10 11 12 13 15 16 16 15 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 7 7 7 7 7 7 6 5 5 6 6 6 5 6 6 6 6 6 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 12 12 12 11 10 9 7 6 5 5 5 5 5 6 7 7 5 5 6 7 9 10 11 nan
nan 11 10 10 9 8 8 8 7 7 6 6 5 5 5 5 5 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 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 10 9 8 8 9 9 9 8 7 7 8 7 7 6 6 6 6 6 7 7 7 6 5 5 4 4 4 5 5 6 6 7 7 7 8 7 7 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 5 5 6 7 9 10 9 7 6 7 8 10 11 12 nan
nan 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 9 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 5 4 2 2 3 5 6 6 6 6 7 7 7 7 6 6 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 10 10 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 8 10 12 12 10 9 8 8 8 9 11 12 nan
nan 9 8 8 7 7 7 6 6 6 6 6 7 7 7 6 6 7 8 9 9 10 10 10 9 9 9 8 9 9 9 9 9 9 8 8 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 10 10 11 12 13 13 13 12 10 9 9 9 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 9 9 9 7 5 2 2 3 5 7 7 7 6 6 6 6 6 6 7 7 7 8 9 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 10 11 11 12 11 11 10 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 9 8 9 10 11 nan
nan 7 7 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 10 11 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 8 7 8 8 8 8 8 9 9 9 9 8 6 3 3 4 6 8 9 8 8 7 6 6 6 7 7 8 8 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 9 9 10 11 11 11 10 9 10 10 10 nan
nan 6 5 5 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 9 9 8 7 5 4 4 6 8 9 9 9 8 7 6 6 7 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 8 7 8 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 10 9 9 8 8 8 8 8 8 7 7 8 8 9 11 11 11 10 10 10 9 9 nan
nan 5 5 4 3 3 3 3 3 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 7 8 8 9 9 10 10 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 8 8 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 6 5 5 5 7 8 9 9 9 7 6 6 8 10 10 10 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 11 10 9 8 8 9 10 10 11 12 11 11 10 9 9 11 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 8 8 8 9 10 11 11 10 9 9 9 8 8 nan
nan 5 4 4 3 3 3 3 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 11 11 11 9 8 7 7 8 9 9 9 8 8 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 6 5 6 7 8 9 9 9 8 7 6 8 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 10 9 9 9 9 10 10 10 9 8 8 8 8 9 10 12 12 11 10 9 9 11 11 11 11 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 12 12 12 10 9 8 8 8 7 nan
nan 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 11 10 9 9 10 11 10 9 7 6 6 7 9 10 9 9 8 8 8 8 8 9 10 10 9 9 9 9 8 7 7 7 7 6 6 6 7 8 10 10 9 9 8 8 10 12 13 13 13 12 11 10 10 9 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 11 12 11 10 9 9 10 10 11 11 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 9 9 11 12 13 12 10 9 8 8 8 7 nan
nan 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 8 8 7 7 6 7 7 8 8 9 9 9 9 8 9 9 8 8 8 8 8 8 9 9 9 10 10 11 12 12 11 10 9 9 9 10 9 8 6 6 8 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 7 6 6 7 9 11 11 10 10 11 11 12 13 14 15 15 14 12 10 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 9 10 11 11 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 7 7 nan
nan 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 5 5 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 7 7 9 9 8 7 7 8 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 7 8 8 7 7 7 8 10 11 11 11 11 12 13 13 13 13 14 14 13 11 10 9 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 8 8 7 7 9 10 10 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 9 8 8 8 9 9 9 8 7 nan
nan 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 5 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 7 6 7 8 8 8 7 7 8 9 9 10 10 11 11 10 10 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 9 10 10 10 10 10 11 12 13 13 12 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 9 8 7 7 9 9 9 9 8 8 8 9 10 10 9 8 8 8 9 8 9 9 10 10 10 10 10 9 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 11 9 7 6 7 8 9 9 9 8 nan
nan 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 10 11 11 10 8 7 7 8 8 8 7 7 7 8 8 8 10 11 12 12 11 11 11 11 11 10 10 9 9 8 7 7 7 6 6 7 9 10 10 9 9 9 10 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 8 7 6 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 9 10 11 13 14 13 10 7 7 7 7 8 9 9 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 7 7 8 8 8 9 9 9 10 11 12 12 10 8 8 8 9 9 8 8 8 7 7 7 8 10 11 12 11 10 10 10 10 11 10 9 9 8 8 7 6 6 6 7 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 9 7 7 8 9 10 10 10 10 10 11 12 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 11 12 14 15 13 11 9 8 8 7 8 8 8 8 nan
nan 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 11 12 12 11 10 9 9 9 10 10 10 9 8 8 7 8 9 10 10 10 9 8 8 9 10 10 9 9 9 8 7 6 5 6 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 11 11 11 10 8 7 8 9 10 10 10 10 11 11 12 12 11 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 12 11 11 10 10 9 9 8 8 8 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 10 10 10 10 10 10 10 10 9 8 9 9 9 10 9 8 8 7 8 9 9 9 10 10 9 7 6 6 6 7 8 8 8 8 8 9 9 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 9 10 11 11 10 9 8 8 9 10 10 10 10 10 10 11 12 12 11 10 9 8 8 9 10 11 11 12 13 13 13 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 10 10 10 9 8 8 nan
nan 7 7 7 7 6 6 6 7 7 7 8 8 7 7 6 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 9 10 11 9 7 6 6 7 7 8 8 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 10 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 10 11 12 11 10 9 8 8 10 10 11 11 13 13 13 12 11 10 9 9 9 9 10 11 11 10 10 10 10 11 11 12 12 13 13 12 12 11 11 11 10 10 10 10 9 9 8 nan
nan 7 7 7 7 7 7 6 6 7 7 7 8 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 10 10 9 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 8 9 10 10 9 9 9 9 8 8 7 8 8 9 10 10 9 8 8 8 7 7 8 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 10 9 10 10 10 9 9 10 10 11 11 10 9 9 10 11 11 11 10 8 8 9 9 10 11 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 nan
nan 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 11 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 12 10 9 9 10 10 9 9 10 11 12 12 11 10 9 9 10 10 11 10 10 9 9 8 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 nan
nan 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 6 7 7 7 6 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 11 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 8 9 9 10 11 12 13 13 11 9 8 9 9 9 9 10 11 12 12 12 11 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 6 6 7 7 7 6 6 7 8 9 9 9 9 9 9 8 8 7 7 7 6 7 7 7 8 9 10 10 10 11 11 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 12 13 13 12 10 8 7 8 8 8 8 10 11 12 12 12 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 12 11 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 7 6 6 6 6 7 7 7 6 6 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 13 13 12 10 8 8 8 8 7 7 9 11 12 12 12 12 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 11 10 9 9 9 10 10 10 10 10 9 10 10 10 10 11 11 11 11 10 10 11 11 11 11 12 13 13 13 13 12 12 nan
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nan 14 15 16 16 16 15 15 15 15 15 14 14 13 13 12 11 10 9 8 7 8 8 8 9 10 10 11 11 12 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 10 8 8 8 7 7 7 8 9 10 10 9 8 8 8 9 9 8 7 6 5 6 7 7 8 8 9 10 10 9 8 7 8 8 9 9 8 9 9 10 10 10 10 9 7 8 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 9 8 8 7 7 7 7 7 7 6 5 6 8 10 10 10 10 11 12 11 10 9 8 8 8 9 9 10 10 11 12 13 11 10 nan
nan 12 13 14 14 14 14 14 14 14 14 14 13 13 12 11 10 9 8 7 7 7 9 9 10 10 10 11 11 12 12 11 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 11 10 9 8 6 5 4 5 7 9 10 9 8 8 8 9 10 10 10 8 7 6 8 10 11 11 12 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 9 9 7 6 7 8 9 10 11 11 11 11 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 7 6 6 6 5 4 6 8 9 9 10 10 11 11 9 8 7 6 6 7 8 9 10 11 11 12 12 11 9 nan
nan 11 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 9 8 7 6 7 9 10 11 10 10 10 10 11 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 8 6 4 2 2 4 7 8 8 8 7 8 9 10 10 11 11 11 10 10 11 13 13 13 12 11 11 10 10 10 10 10 10 9 8 7 7 6 6 7 8 7 6 6 6 7 9 9 10 11 11 10 10 9 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 11 11 12 11 10 9 8 7 8 8 8 8 8 7 7 6 6 6 6 5 5 6 8 9 9 9 10 9 9 8 8 7 6 6 7 7 8 10 10 11 10 10 10 9 nan
nan 12 12 11 11 10 10 11 11 11 12 11 11 11 10 9 10 10 9 8 6 7 9 10 11 10 10 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 10 9 9 8 7 7 7 8 8 9 10 10 10 9 6 4 2 2 3 5 7 8 8 9 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 10 10 9 9 9 9 9 8 8 7 6 6 7 7 7 7 6 6 7 8 9 9 10 10 10 10 9 10 10 10 10 10 9 9 8 7 7 8 9 10 11 11 11 11 12 12 11 10 8 7 8 8 8 9 8 7 6 6 6 6 6 5 6 7 8 8 9 9 9 9 9 10 10 9 7 6 6 7 9 10 10 10 9 10 10 9 nan
nan 13 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 7 7 9 10 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 8 7 5 2 2 3 6 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 12 12 11 10 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 8 9 10 11 11 10 10 11 11 11 10 8 7 7 8 9 9 9 7 6 6 6 5 5 6 7 7 8 8 9 9 10 10 10 11 12 10 8 7 7 8 10 10 10 10 9 9 9 8 nan
nan 12 13 13 13 13 12 11 11 10 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 11 10 10 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 7 5 3 2 3 6 8 10 11 12 13 13 13 13 13 12 12 11 10 9 9 9 10 11 11 11 10 9 9 9 9 8 7 7 8 9 10 10 9 8 8 7 7 7 7 6 6 6 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 9 8 7 6 5 5 5 6 7 7 8 9 9 9 10 10 11 12 13 12 11 9 9 10 11 11 10 9 9 8 7 7 nan
nan 11 12 13 14 13 13 12 11 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 5 4 4 5 8 10 11 13 13 13 13 13 13 12 12 11 10 9 9 8 8 9 10 11 11 10 10 9 9 9 8 8 8 8 9 10 9 9 8 7 7 6 6 6 6 5 6 6 7 7 8 8 9 9 10 10 10 10 11 10 10 10 10 9 8 8 9 10 10 10 10 10 10 11 10 9 9 9 9 10 10 10 9 8 6 6 6 5 5 6 7 7 8 9 9 10 10 10 11 12 14 13 12 11 10 11 11 10 9 7 6 5 5 7 nan
nan 10 11 12 12 12 11 11 10 9 9 9 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 11 11 10 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 8 7 7 6 6 6 6 5 5 5 6 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 9 8 6 6 6 6 6 6 7 8 9 9 9 10 10 10 11 12 14 14 12 11 10 10 9 7 5 2 1 2 4 8 nan
nan 9 10 10 10 10 10 9 9 8 9 9 9 9 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 6 5 5 6 6 7 8 8 8 9 9 9 10 10 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 8 8 8 9 9 7 6 6 6 6 6 7 7 8 9 9 9 10 10 10 11 12 13 13 13 11 9 7 6 4 2 -0 -0 1 6 10 nan
nan 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 11 11 9 7 5 5 6 7 7 8 8 9 9 9 10 9 9 8 7 8 9 10 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 5 5 6 6 7 7 8 8 9 9 9 10 10 10 11 12 13 14 13 11 8 5 3 3 2 2 4 6 11 13 nan
nan 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 9 10 10 10 11 11 10 10 9 9 9 10 11 11 11 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 11 13 14 12 9 6 5 6 7 7 8 8 9 9 9 10 9 9 8 8 8 9 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 9 9 8 6 5 5 6 7 7 8 8 9 9 9 10 10 10 11 11 12 13 14 13 11 7 5 4 4 5 6 8 11 14 15 nan
nan 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 11 12 11 11 10 10 10 11 12 12 12 11 11 10 10 10 11 11 11 11 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 11 12 13 12 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 7 6 6 6 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 9 9 10 9 9 8 9 9 9 9 9 9 7 5 5 6 7 7 8 8 9 9 10 10 10 10 11 11 12 12 13 14 12 9 6 6 6 7 8 9 10 13 15 16 nan
nan 8 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 10 10 11 12 12 11 10 10 9 10 11 11 12 11 11 10 10 10 11 11 12 12 11 11 10 11 11 10 10 9 9 9 9 10 10 11 12 11 10 10 9 10 10 11 12 12 11 11 11 12 12 12 11 10 9 9 8 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 10 11 10 9 9 9 10 10 9 9 9 9 9 9 8 8 8 7 5 5 6 7 8 8 9 10 10 10 11 11 11 11 11 12 13 14 13 10 7 7 8 9 9 10 10 11 13 15 17 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 9 10 10 11 12 12 12 11 10 10 9 10 10 11 11 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 9 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 10 10 10 10 10 9 8 8 7 7 8 8 7 5 5 6 7 9 9 10 11 11 11 11 11 11 11 12 13 13 13 11 8 8 8 9 10 10 11 11 13 15 17 18 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 10 10 11 11 10 10 11 11 12 10 9 8 8 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 8 8 7 6 7 7 7 7 6 4 5 6 8 10 10 11 11 11 11 11 11 11 11 12 12 12 11 8 8 8 9 10 11 11 11 12 14 16 18 17 nan
nan 9 9 9 8 8 8 8 8 9 9 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 11 12 12 11 10 10 9 10 11 11 11 10 10 9 10 10 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 8 8 8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 9 8 8 7 7 7 7 7 6 5 4 4 4 6 7 9 11 11 11 11 11 11 11 11 11 12 12 11 11 9 8 8 9 10 10 11 11 12 13 15 17 18 16 nan
nan 10 9 9 8 8 8 8 8 9 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 12 12 12 11 9 9 9 9 10 11 10 10 9 9 9 10 10 9 8 8 8 9 10 10 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 10 9 8 7 7 7 7 6 6 4 4 4 5 7 8 10 10 11 11 11 11 11 11 12 12 13 12 12 11 11 10 10 10 11 11 11 11 11 13 15 17 18 17 15 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 10 9 8 8 9 10 10 10 9 8 8 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 11 11 12 12 11 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 6 6 5 5 5 4 4 5 6 8 9 10 11 11 11 11 11 11 12 13 14 15 15 14 13 13 12 12 11 11 11 11 11 12 13 15 17 17 16 14 12 nan
nan 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 8 7 8 9 9 10 9 9 8 9 9 8 8 7 8 9 9 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 11 11 11 11 10 11 10 10 10 10 10 10 10 10 9 9 10 9 9 10 10 10 11 12 12 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 5 5 5 5 6 7 8 10 11 11 11 11 12 12 13 14 15 16 17 17 15 14 13 13 12 12 11 11 11 11 12 13 15 16 16 15 13 11 10 nan
nan 9 9 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 10 10 9 9 9 9 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 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 11 12 12 12 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 10 12 13 13 13 13 14 14 15 15 15 16 16 15 13 11 10 10 10 11 11 11 11 11 12 13 16 17 16 14 12 10 10 10 nan
nan 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 12 12 11 11 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 7 7 6 7 8 9 10 10 10 9 9 9 9 9 10 11 11 12 11 11 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 11 12 14 14 14 13 13 13 14 14 13 13 12 11 10 9 8 8 8 9 10 12 13 13 13 13 14 15 17 17 15 12 11 10 11 11 nan
nan 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 10 10 9 10 11 13 14 13 12 10 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 7 7 7 8 8 9 9 10 9 9 9 8 8 9 10 10 11 11 12 12 11 10 9 9 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 12 12 13 13 14 13 14 14 14 13 13 13 13 13 13 11 10 9 10 11 12 12 10 10 9 8 7 7 9 11 12 12 13 14 14 14 14 14 14 15 15 14 13 12 11 11 11 11 nan
nan 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 10 9 9 9 11 14 15 14 12 11 10 9 9 10 10 10 10 9 10 10 9 9 9 8 8 7 7 7 8 9 9 10 9 9 9 9 8 8 8 9 9 9 10 11 11 12 11 11 10 10 10 10 9 9 10 11 11 11 11 10 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 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 11 12 13 13 13 13 12 12 12 12 12 12 13 13 13 12 10 9 8 8 9 11 13 14 14 14 13 12 11 11 12 14 15 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 9 nan
nan 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 8 9 11 14 16 15 13 11 10 9 9 10 10 10 10 10 10 9 9 9 9 8 7 7 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 11 11 10 9 8 8 9 9 11 12 12 11 9 10 11 13 15 16 18 18 18 17 16 16 15 15 14 14 14 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 9 7 nan
nan 11 11 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 10 13 15 15 14 12 10 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 8 7 8 8 9 9 9 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 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 9 9 9 9 8 7 8 9 9 9 9 9 9 9 8 6 6 7 8 9 11 11 11 11 11 12 13 14 16 17 18 18 17 15 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 6 nan
nan 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 8 9 12 14 15 14 12 10 10 10 10 10 10 9 8 8 8 8 9 11 11 10 9 9 10 10 10 9 8 8 7 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 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 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 10 8 7 5 4 4 5 6 8 8 9 9 9 10 10 10 9 9 9 9 8 6 5 5 6 8 10 11 11 10 9 9 10 11 12 13 13 14 13 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 nan
nan 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 10 13 14 14 13 11 11 10 10 10 9 8 8 7 7 8 9 11 11 10 10 10 10 10 9 9 9 8 8 8 9 10 11 11 11 11 10 10 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 9 6 4 2 1 1 2 3 4 5 6 7 8 9 9 8 7 8 8 8 7 4 2 3 6 8 10 10 9 8 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 nan
nan 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 8 7 7 6 5 6 8 11 14 14 13 12 12 11 10 9 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 10 11 12 12 11 9 9 9 10 10 11 12 12 11 9 7 6 6 5 5 6 7 10 11 11 11 11 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 11 11 8 5 3 2 3 4 4 4 4 4 4 5 6 6 5 4 4 5 6 6 4 2 2 4 7 9 10 10 9 8 8 8 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 nan
nan 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 7 6 5 5 6 10 13 13 13 12 12 12 11 9 8 8 8 8 9 8 8 7 7 8 9 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 12 15 16 14 10 8 7 6 7 8 10 12 13 11 9 7 5 3 3 2 3 4 6 8 9 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 9 8 6 5 5 6 6 7 7 6 6 6 6 5 4 4 3 4 4 4 4 2 3 5 7 10 12 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 8 7 7 5 5 5 8 11 12 12 12 13 12 11 9 8 8 8 9 10 9 8 7 6 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 10 12 15 18 17 15 11 8 5 3 3 5 7 10 11 11 9 7 5 4 4 3 2 3 4 5 5 5 5 6 7 8 10 11 10 7 5 4 3 3 4 5 7 7 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 5 5 4 6 8 11 14 15 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 10 10 10 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 8 7 6 5 6 8 10 10 11 12 12 12 11 10 9 9 9 10 10 9 8 8 7 6 7 8 9 9 8 8 8 9 9 10 10 9 9 8 9 9 9 10 10 9 9 9 9 9 9 9 12 15 18 18 16 13 9 6 4 4 4 7 9 10 10 9 8 8 7 6 5 5 5 4 3 2 1 1 2 4 8 11 12 10 8 5 3 3 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 11 13 14 14 13 12 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 10 10 10 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
64 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 27 51 87 130 178 235 300 350 381 395 388 380 378 372 381 357 339 309 295 309 337 357 375 387 417 425 428 444 452 470 500 517 512 490 458 423 390 343 297 249 201 158 123 97 79 63 42 25 14 9 8 5 1 1 1 3 7 12 15 17 16 14 13 13 12 13 16 14 13 13 12 10 9 9 8 13 17 21 24 25 25 26 27 32 31 28 29 31 33 33 32 31 32 32 28 23 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 20 27 41 79 132 193 283 380 491 574 571 525 473 432 383 347 341 362 378 396 383 413 430 436 451 472 493 522 555 578 580 562 534 503 459 402 339 275 217 168 134 117 103 85 60 37 22 12 4 2 4 7 9 11 13 14 14 12 12 12 13 14 16 14 9 8 10 11 12 12 10 12 12 15 17 18 20 24 27 30 36 32 27 29 33 35 35 34 34 35 37 36 34 25 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 19 71 167 317 453 489 473 471 468 434 396 377 380 395 420 407 427 439 435 429 435 460 507 561 605 625 623 607 580 543 494 431 359 290 234 194 173 152 127 99 73 52 32 5 3 7 8 9 10 12 13 12 10 13 13 11 15 20 19 14 13 13 13 13 15 14 17 17 18 19 21 22 22 25 27 29 29 30 33 37 39 38 39 40 39 38 38 37 32 21 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23 69 113 133 168 249 335 368 368 357 356 380 397 401 414 426 428 420 411 408 458 520 574 612 633 631 606 573 531 480 419 359 314 275 246 216 185 152 118 87 62 26 15 11 10 11 13 15 14 14 12 14 14 13 17 23 23 21 19 19 18 15 13 15 18 20 21 22 21 21 22 24 26 30 35 39 41 41 43 42 43 42 41 40 41 43 39 33 25 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 7 11 57 149 216 248 261 275 301 325 349 375 401 411 400 378 366 410 465 521 563 582 577 557 533 497 461 418 375 344 318 288 256 222 187 151 119 91 67 48 33 20 14 17 17 17 19 18 18 18 19 22 25 28 30 28 26 24 20 15 13 16 19 22 24 23 22 24 27 31 34 39 45 45 46 48 52 53 51 47 43 45 48 46 43 35 24 10 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 2 10 33 59 67 69 78 90 97 120 147 160 181 222 272 318 349 358 359 349 325 296 301 260 237 217 191 164 149 145 148 150 154 147 127 100 64 60 63 50 36 33 40 47 38 33 27 24 21 20 18 18 14 16 19 21 23 25 26 31 32 37 42 41 42 46 50 55 60 62 63 65 63 61 56 50 45 44 44 46 43 34 24 14 7 4 8 6 4 3 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
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