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 7 7 7 8 9 10 12 13 15 17 19 21 23 24 23 21 17 14 12 10 10 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 8 8 7 8 9 10 10 10 9 8 7 6 6 7 8 9 8 8 7 7 7 7 8 8 9 8 8 8 9 9 9 9 10 9 9 8 7 6 6 6 6 6 7 8 9 10 11 12 12 11 12 12 13 13 12 10 10 10 10 11 12 15 16 14 12 10 9 9 9 8 8 10 12 12 11 10 10 10 9 8 9 10 10 10 11 11 11 12 13 14 14 13 11 9 8 8 9 10 10 10 9 9 8 7 7 8 9 10 10 9 9 8 9 10 11 11 12 13 13 14 13 10 8 7 7 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 8 9 9 9 10 nan
nan 7 7 6 6 7 8 10 11 12 14 15 17 18 19 19 18 15 13 12 11 11 10 9 8 7 7 7 8 8 8 8 8 9 10 11 11 10 8 6 6 7 8 9 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 8 9 10 10 10 10 10 9 8 8 7 6 5 5 5 5 5 5 6 8 10 10 10 10 11 12 12 12 12 11 12 12 11 10 11 14 16 15 13 12 10 10 9 9 9 11 13 14 13 11 9 8 8 7 8 8 8 8 8 8 9 10 11 13 14 14 12 9 8 7 8 9 9 8 8 9 9 8 8 10 11 12 11 10 9 8 8 9 9 10 11 12 12 12 10 8 7 7 7 7 7 6 7 8 9 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 nan
nan 6 6 6 6 7 7 8 9 10 11 12 13 14 15 15 14 14 13 13 13 13 12 11 10 9 8 9 9 10 10 9 9 9 10 11 11 9 7 6 5 5 6 8 9 9 9 8 7 7 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 7 5 4 4 5 4 4 4 6 8 9 9 9 10 11 11 11 11 11 12 12 11 10 10 12 13 14 13 13 12 10 9 8 8 10 12 14 14 12 9 7 6 6 6 7 7 7 7 7 8 8 10 11 13 13 12 10 8 8 8 8 8 8 8 9 9 8 9 12 14 14 13 11 10 9 9 10 10 11 12 13 12 9 6 5 5 5 6 6 5 5 6 7 8 8 8 7 8 8 8 8 9 8 8 7 6 6 7 8 8 8 9 nan
nan 5 6 7 7 8 8 8 9 10 11 10 10 10 10 11 11 11 11 12 13 13 13 13 13 12 12 11 11 11 11 11 10 10 11 11 10 8 6 5 5 5 6 8 9 9 9 8 7 7 8 8 9 10 10 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 6 5 5 6 6 5 5 5 7 7 8 9 9 10 10 10 11 11 11 11 10 9 9 10 11 12 13 13 13 11 9 8 7 8 10 13 15 13 9 6 4 4 4 6 7 7 8 8 8 9 10 11 12 13 12 11 10 10 9 9 8 8 7 7 8 8 9 12 14 15 14 12 11 11 11 12 12 12 12 12 12 8 5 3 3 3 4 4 3 4 5 6 7 8 8 8 8 8 8 8 9 8 8 7 6 6 7 8 8 9 9 nan
nan 5 6 7 8 9 8 9 10 12 11 9 8 8 8 8 8 8 8 8 9 10 11 11 12 13 14 13 13 13 13 13 13 13 12 11 9 7 6 5 5 5 7 8 9 9 9 8 8 8 9 10 10 11 12 13 13 12 12 12 12 12 12 12 11 10 9 9 9 9 8 8 7 7 7 7 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 10 10 11 11 10 9 9 9 10 11 12 13 13 12 10 9 8 8 9 11 14 13 10 7 5 4 3 4 6 7 8 8 9 9 9 10 11 12 12 12 12 11 10 10 9 8 6 5 6 7 8 11 13 14 13 12 12 12 13 14 14 12 11 11 11 9 7 5 4 4 3 3 3 4 5 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 nan
nan 5 7 8 9 10 8 10 11 12 11 9 8 7 7 6 6 6 6 6 7 7 7 7 9 10 12 12 12 12 13 14 15 16 14 12 9 7 6 6 6 7 8 9 9 9 10 10 10 11 11 12 12 12 13 13 13 12 12 12 11 12 13 13 12 10 9 9 9 8 7 6 6 6 6 6 5 4 4 5 5 5 6 5 5 5 6 7 8 8 8 9 9 10 10 10 9 8 8 10 10 11 12 12 12 11 10 9 8 9 10 12 12 11 9 7 6 5 5 6 7 8 8 8 8 9 9 10 11 11 12 12 12 11 10 9 7 5 4 5 6 7 9 10 12 12 13 13 13 14 14 13 12 11 11 11 11 10 9 7 6 4 4 5 5 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 7 7 8 10 11 11 nan
nan 6 7 9 10 10 10 11 11 11 11 10 8 7 6 6 6 6 6 6 6 6 6 5 6 7 8 9 10 11 11 12 14 15 15 13 11 8 6 5 6 8 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 12 12 11 9 8 7 6 5 5 5 5 5 5 5 5 3 3 3 3 4 4 4 4 5 6 7 7 7 8 8 8 9 10 10 9 8 8 9 10 10 11 11 11 11 10 9 9 9 9 10 11 11 10 8 8 7 6 6 6 6 7 7 7 8 8 9 10 10 11 11 12 12 10 9 7 6 5 5 5 6 7 9 10 11 12 13 13 13 12 12 11 10 11 12 13 13 11 9 7 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 8 10 11 11 nan
nan 5 6 8 8 9 11 11 11 11 12 10 8 5 5 6 7 7 7 6 6 6 5 5 5 5 6 6 8 8 9 9 10 11 12 13 12 10 7 6 6 8 9 10 11 12 12 13 12 11 10 10 9 8 7 7 7 8 8 8 9 9 9 8 7 6 5 4 3 3 4 4 5 5 5 5 5 4 4 3 3 3 4 3 4 5 6 7 7 7 7 7 8 8 9 9 9 8 8 8 9 10 10 11 11 11 10 9 9 8 9 9 11 11 11 10 9 8 6 6 6 6 7 7 7 7 7 8 9 9 10 10 12 12 10 9 8 7 7 6 6 6 7 7 8 9 11 11 11 11 11 11 11 11 12 14 14 13 11 8 6 5 6 8 9 8 8 7 8 8 7 6 6 6 7 8 7 6 6 6 6 7 8 9 9 9 nan
nan 6 6 6 6 7 9 9 10 10 11 10 7 5 5 6 7 7 7 6 6 5 5 5 5 5 5 6 6 7 7 7 8 8 10 12 12 12 10 9 9 9 10 11 12 12 12 11 10 8 7 7 6 5 4 5 5 5 5 6 6 5 4 4 3 3 3 3 3 4 4 5 5 5 5 6 6 5 5 5 5 5 4 4 4 6 7 7 7 7 7 7 8 8 8 9 9 8 8 9 9 9 10 11 11 10 10 9 9 8 8 8 9 10 10 10 9 8 7 6 6 7 8 8 8 7 7 8 8 8 8 8 10 11 11 10 9 8 8 6 6 6 6 6 7 8 9 9 9 10 11 11 11 12 13 13 13 11 8 6 5 5 8 10 10 9 8 7 7 7 7 5 5 5 7 7 7 6 5 6 7 8 8 8 8 8 nan
nan 7 6 6 5 6 7 7 8 9 9 9 8 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 11 13 14 14 13 13 12 12 12 11 11 10 8 7 6 6 6 6 6 5 5 5 5 5 5 4 3 2 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 5 5 6 7 8 8 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 8 10 11 11 10 10 8 7 6 6 6 6 6 7 7 7 7 8 9 10 11 11 11 11 10 9 7 6 5 7 10 12 12 10 8 7 7 7 6 5 5 6 7 7 7 6 6 7 8 9 8 7 6 7 nan
nan 8 8 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 10 13 15 17 17 16 15 14 14 12 11 9 8 7 6 6 7 8 8 8 8 8 7 7 6 5 5 4 4 5 5 5 6 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 5 4 4 5 6 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 8 7 7 9 11 12 12 11 10 8 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 11 12 12 11 10 9 8 8 7 6 6 8 8 7 7 6 6 8 9 8 7 6 7 7 nan
nan 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 9 10 10 10 10 10 11 13 15 18 19 19 17 14 12 12 12 10 9 8 7 7 8 9 10 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 6 6 6 6 6 5 3 3 4 6 7 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 8 7 7 6 6 6 7 9 9 9 9 10 9 8 8 9 11 13 14 13 11 9 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 9 8 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 nan
nan 8 8 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 10 10 11 11 11 12 13 15 17 19 20 19 15 11 8 9 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 10 11 11 9 8 6 6 7 7 7 7 7 7 6 4 3 3 5 6 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 8 7 7 6 6 6 8 9 9 9 9 9 9 9 10 11 12 13 12 10 8 7 7 8 8 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 8 10 11 11 11 10 10 10 10 10 11 10 9 10 10 9 9 9 9 9 10 9 9 9 8 8 8 nan
nan 7 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 8 7 6 6 6 6 7 8 8 9 9 10 10 11 11 12 14 16 18 19 20 18 15 10 7 8 9 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 11 12 13 12 10 7 6 5 6 7 8 8 9 9 10 9 7 4 3 3 4 7 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 10 9 8 7 6 7 7 8 9 9 9 9 8 8 9 9 9 8 8 7 6 6 7 7 8 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 10 10 10 9 9 10 10 10 nan
nan 7 7 8 8 8 9 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 7 8 8 9 9 9 9 9 9 10 11 12 14 17 19 19 18 15 11 9 9 9 9 9 8 9 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 10 10 11 11 11 9 7 5 5 5 6 7 8 8 9 10 10 11 10 8 7 5 4 4 6 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 10 10 9 8 7 7 7 8 8 9 8 7 7 7 8 8 8 8 9 9 10 9 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 7 7 8 8 8 8 9 9 10 10 10 11 12 11 11 11 11 11 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 10 11 13 15 17 18 17 14 11 9 9 9 9 8 9 9 10 10 11 11 11 11 11 11 10 7 6 6 7 8 9 9 9 10 10 9 6 4 3 3 5 6 7 7 7 8 9 9 9 9 10 10 9 7 6 5 6 7 8 8 7 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 9 10 12 13 13 13 12 11 10 10 10 10 10 nan
nan 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 9 9 10 11 12 14 17 17 15 12 9 8 8 9 9 9 9 10 10 11 11 12 12 12 12 11 8 6 5 6 8 9 9 10 10 10 9 7 5 4 4 5 6 7 7 7 7 8 7 6 6 6 8 10 9 8 7 5 5 6 7 7 8 8 9 9 9 10 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 8 7 7 8 7 7 6 7 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 7 7 6 7 7 8 7 6 7 8 11 13 14 14 13 12 12 12 12 11 10 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 15 17 16 14 11 8 7 8 9 9 9 10 11 11 11 12 12 13 13 13 11 8 7 8 8 9 10 11 11 10 9 8 7 6 7 7 7 8 8 7 7 7 7 7 6 5 5 5 5 6 7 6 5 5 5 6 7 8 9 10 11 10 10 10 10 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 6 7 8 8 8 8 8 7 8 8 8 8 7 7 8 8 9 9 8 7 7 8 8 7 7 7 7 6 6 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 7 7 8 7 7 7 7 9 11 13 13 14 14 14 14 13 13 12 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 9 10 10 11 12 14 16 17 16 14 11 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 12 11 12 12 12 13 13 13 12 11 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 4 3 3 4 5 5 5 5 5 6 7 8 10 11 11 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 8 10 10 9 8 7 8 8 8 7 7 7 7 6 6 7 8 8 8 9 10 10 10 10 10 10 10 9 10 10 10 11 11 10 8 8 8 8 8 8 8 8 8 9 10 11 12 14 16 16 16 14 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 16 15 14 12 10 10 11 11 11 12 12 12 12 12 13 14 14 15 14 14 15 15 16 16 16 15 14 13 12 11 10 9 8 8 8 9 9 9 8 8 8 8 7 6 5 4 4 5 5 6 6 6 6 6 6 7 9 9 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 10 10 10 10 9 9 8 9 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 9 10 12 14 16 16 15 13 nan
nan 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 9 10 10 11 11 11 11 11 11 10 10 10 11 11 12 13 14 15 15 14 13 12 11 11 11 12 12 12 12 12 12 12 13 14 15 16 15 15 16 16 17 17 15 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 11 10 8 6 5 5 6 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 9 9 9 8 9 10 10 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 7 8 9 10 10 10 10 10 11 11 11 11 10 9 8 7 7 8 9 10 11 13 15 15 13 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 11 12 12 12 12 11 11 11 10 10 11 11 12 13 13 14 14 13 12 12 11 11 12 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 15 14 12 10 9 9 9 9 10 11 11 12 12 12 11 11 11 12 13 12 10 8 6 6 6 7 7 7 8 8 7 7 8 8 9 9 8 7 7 7 7 7 6 6 7 8 9 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 10 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 8 7 7 8 9 9 9 10 12 14 14 nan
nan 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 11 11 10 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 13 12 11 10 9 9 9 10 11 11 12 13 14 14 14 13 13 13 13 13 12 11 9 7 7 7 7 8 8 8 8 7 8 8 9 9 9 8 7 6 6 6 6 6 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 6 6 7 8 9 9 9 10 10 10 10 11 12 12 11 10 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 10 11 nan
nan 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 10 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 10 9 9 9 10 11 12 12 13 13 13 13 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 5 6 7 8 8 9 9 9 9 9 9 10 11 12 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 10 9 9 8 7 6 7 9 nan
nan 8 9 9 9 8 8 9 10 10 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 9 10 11 11 10 10 9 8 8 8 8 6 5 4 4 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 10 10 9 9 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 8 8 9 9 10 10 9 9 8 9 9 9 10 10 9 9 9 8 6 6 6 8 nan
nan 8 9 9 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 6 6 7 9 10 9 8 6 5 5 5 6 5 4 3 3 4 5 7 8 8 8 8 8 7 8 9 9 9 9 9 8 8 7 6 6 8 9 10 9 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 10 8 8 8 9 10 11 11 10 10 10 10 11 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 6 7 8 nan
nan 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 6 4 3 2 3 5 5 5 5 5 6 7 7 8 7 7 7 7 7 8 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 8 8 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 6 5 6 6 7 8 8 8 9 9 9 10 10 12 12 11 9 8 8 9 9 10 11 10 9 9 9 10 10 10 9 9 9 9 8 9 9 8 8 8 8 8 8 9 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 nan
nan 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 7 6 5 6 5 4 4 5 6 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 7 6 6 7 8 10 10 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 6 5 5 6 6 7 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 7 8 8 8 9 10 10 9 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 9 7 5 4 4 6 7 8 8 8 9 10 10 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 5 4 4 6 8 9 9 8 8 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 6 6 6 5 5 5 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 11 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 9 8 6 4 4 6 8 9 9 8 8 9 9 10 12 12 12 11 10 9 9 9 9 8 8 8 7 7 7 6 5 5 4 4 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 5 5 6 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 10 12 12 12 11 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 8 9 9 8 7 7 7 8 10 11 13 14 14 13 12 11 11 10 9 9 8 7 7 6 6 6 6 5 5 5 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 11 11 12 11 11 10 10 10 10 10 11 10 9 8 8 9 9 8 8 9 9 9 9 10 11 11 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 8 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 9 11 12 13 12 12 12 11 11 10 10 9 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 14 13 12 10 9 9 10 11 12 12 10 9 8 9 10 10 10 9 9 8 8 8 9 10 10 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 8 8 9 9 9 9 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 11 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 6 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 14 14 14 15 15 14 13 12 12 12 13 12 11 10 9 9 10 11 12 11 10 9 9 9 9 10 10 9 9 8 8 8 9 9 10 10 11 12 12 11 10 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 9 8 7 7 7 8 9 9 9 8 nan
nan 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 12 12 12 12 14 15 14 13 11 10 9 9 9 9 9 8 7 6 5 4 4 4 4 4 5 6 6 6 6 6 7 7 7 6 6 6 7 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 13 11 9 9 10 11 11 10 9 9 9 11 12 11 10 10 10 10 10 10 11 10 10 9 8 7 8 9 9 10 10 11 12 12 11 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 7 8 9 9 9 8 nan
nan 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 9 8 8 8 7 6 6 5 5 4 4 4 4 4 4 5 5 6 8 8 7 7 7 7 7 8 9 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 12 11 10 9 9 9 9 9 8 8 8 10 11 12 11 10 10 10 10 11 11 11 10 10 9 8 7 7 8 9 9 10 11 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 nan
nan 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 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 9 8 8 8 8 7 6 6 7 8 9 10 10 10 9 9 8 8 8 9 9 11 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 9 9 9 9 8 7 8 9 10 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 8 8 9 10 11 10 9 8 8 8 9 9 9 9 9 9 10 10 9 9 9 10 9 9 10 10 10 9 9 10 10 10 11 11 10 10 9 10 10 nan
nan 10 10 10 10 10 10 10 10 9 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 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 9 9 8 8 8 8 9 9 9 9 8 8 9 10 10 10 9 10 10 10 9 7 7 8 9 10 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 11 10 nan
nan 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 10 10 11 12 12 11 10 9 9 9 10 10 10 9 10 11 11 11 11 11 11 11 10 11 11 11 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 10 10 11 10 9 7 7 8 8 9 9 9 10 10 11 11 10 10 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 10 9 8 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 9 10 11 12 12 11 10 10 10 11 12 11 11 12 13 14 14 13 12 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 9 8 8 8 8 8 8 8 10 10 11 11 10 10 10 10 9 8 8 9 10 10 9 8 8 9 9 10 10 10 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 11 11 11 11 11 11 12 13 14 15 15 16 15 14 12 12 12 11 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 11 11 10 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 9 9 10 11 10 10 9 8 9 9 10 11 11 10 10 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
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nan 7 7 8 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 9 9 10 11 10 10 9 9 9 9 10 11 11 11 10 10 11 11 11 10 10 8 7 7 9 11 13 13 12 11 12 12 13 14 13 11 6 3 1 1 2 2 4 5 7 8 9 8 8 8 8 8 8 8 9 10 12 14 nan
nan 6 7 7 8 9 10 10 10 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 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 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 13 12 11 10 9 10 12 13 11 8 5 3 2 1 1 2 4 7 8 9 9 9 8 8 7 7 8 9 11 13 14 nan
nan 6 6 6 6 7 9 10 10 10 9 8 7 7 7 7 7 8 8 8 9 8 8 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 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 11 10 9 9 8 9 9 9 9 8 8 7 7 8 8 9 10 11 12 12 11 11 10 10 9 8 8 9 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 13 14 13 11 9 8 9 10 11 11 9 6 4 1 -0 -0 2 4 7 8 9 9 9 8 7 7 7 7 10 12 14 14 nan
nan 6 6 6 6 7 9 11 12 11 10 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 11 12 12 12 12 11 10 11 11 11 10 9 9 8 8 9 9 10 9 9 8 7 7 7 7 7 9 12 13 13 12 11 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 12 11 12 13 14 13 11 8 7 7 9 10 10 9 6 4 1 -1 -1 1 4 7 8 9 10 9 8 7 7 7 8 11 14 14 13 nan
nan 6 7 7 8 9 11 13 14 13 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 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 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 11 11 10 10 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 10 10 11 10 10 9 10 12 13 12 11 10 10 11 13 13 13 13 12 11 11 12 12 11 10 9 8 8 9 9 10 11 10 9 8 7 6 5 5 6 9 12 13 13 12 11 10 10 9 8 8 10 11 10 10 9 9 9 9 10 10 11 11 12 12 12 13 13 13 11 8 7 8 9 10 10 9 7 4 0 -2 -2 1 4 7 9 10 10 9 8 7 7 7 10 12 13 12 10 nan
nan 7 8 9 10 11 13 14 14 14 13 12 12 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 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 10 10 9 9 9 10 12 12 12 11 11 11 12 13 14 14 13 13 13 13 13 13 13 12 10 8 8 8 10 11 12 11 10 8 6 5 3 3 3 5 8 11 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 12 12 10 10 10 11 12 12 11 10 8 4 -0 -2 -2 1 4 8 9 10 10 9 8 8 8 9 10 10 8 6 5 nan
nan 7 9 11 12 13 14 14 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 9 10 10 9 9 9 10 11 11 11 11 11 11 12 12 13 13 14 14 14 14 15 15 14 14 14 12 10 9 9 10 11 12 12 10 8 7 5 3 2 2 2 5 8 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 12 13 14 13 12 11 9 5 0 -1 0 3 7 9 9 10 10 9 8 8 8 8 8 5 2 1 3 nan
nan 8 10 12 13 14 14 14 12 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 10 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 8 9 9 9 9 9 10 11 11 10 10 10 10 11 11 12 12 13 13 14 15 15 15 16 15 15 15 14 13 12 11 11 11 13 12 11 9 7 5 3 2 2 1 3 5 7 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 10 12 12 12 11 10 9 6 3 3 5 8 10 10 10 10 11 11 9 7 5 4 3 3 2 3 6 nan
nan 10 11 12 12 13 13 13 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 6 6 7 8 8 9 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 12 12 13 14 15 15 15 15 14 14 15 15 16 16 14 12 12 12 13 11 10 8 6 4 3 2 1 2 3 5 6 6 7 9 11 12 12 11 10 9 8 8 8 8 8 8 9 10 10 10 10 9 8 7 6 6 6 7 8 8 8 9 9 9 8 8 8 10 12 13 12 11 11 12 12 11 8 4 3 3 4 5 7 9 nan
nan 11 12 13 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 12 13 14 15 15 15 14 13 13 13 13 14 15 15 14 13 12 12 12 12 11 10 7 5 4 3 2 2 2 2 2 4 6 8 10 11 12 12 10 8 8 8 8 8 8 8 9 10 10 11 10 8 7 6 5 4 4 4 5 6 7 8 9 11 11 12 13 14 15 16 15 13 11 10 11 10 9 7 6 5 5 6 8 9 nan
nan 13 14 15 15 14 13 12 11 11 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 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 12 11 11 11 11 11 12 12 11 11 11 12 13 15 15 15 14 13 12 12 12 12 12 13 13 12 12 12 11 11 11 12 11 9 6 4 3 3 3 2 1 1 3 5 7 7 9 11 11 10 8 8 8 8 8 8 9 9 10 10 9 8 7 6 5 5 4 3 3 4 5 8 10 11 13 14 16 17 17 17 18 18 16 12 10 9 9 11 11 10 9 8 8 8 9 nan
nan 15 16 17 16 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 12 12 12 11 10 10 10 11 12 12 11 11 12 12 13 14 15 15 14 13 12 11 11 10 10 11 11 11 12 11 10 10 11 13 13 11 8 5 4 4 4 4 3 3 5 5 5 5 8 11 12 11 10 9 9 9 8 8 8 8 8 8 8 7 6 5 5 3 2 2 3 5 7 10 12 14 15 16 18 19 18 17 16 17 16 14 13 11 11 12 13 12 12 12 12 11 10 nan
nan 16 16 16 14 13 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 8 7 6 7 7 7 7 8 8 9 9 10 11 12 13 12 12 12 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 13 14 13 13 12 11 11 10 9 10 10 10 11 10 9 10 12 15 16 13 10 7 6 6 6 6 7 7 7 7 7 8 11 13 13 12 10 9 9 9 8 8 8 7 7 7 6 5 3 1 1 0 0 2 5 7 10 12 14 15 16 17 18 19 17 14 10 9 10 11 12 12 12 12 12 11 12 13 13 12 11 nan
nan 14 13 12 12 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 9 9 8 7 7 8 9 10 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 9 10 12 13 14 13 12 11 11 11 11 10 10 10 11 12 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 9 9 10 13 16 17 14 11 9 7 7 8 9 9 10 10 10 11 12 13 14 12 11 9 9 8 8 7 7 7 7 6 5 4 1 -1 -1 -1 -0 2 5 8 10 12 13 14 16 17 19 20 20 17 12 7 4 4 5 7 9 10 10 10 11 12 14 14 14 13 nan
nan 11 11 10 10 11 11 11 10 9 9 8 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 12 12 12 11 11 10 9 8 8 7 7 8 10 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 10 12 14 14 14 12 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 13 13 12 11 10 10 10 9 8 8 9 11 13 14 13 11 10 9 10 10 11 12 12 13 13 14 15 14 12 10 9 9 9 9 8 7 6 5 4 3 2 0 -1 -1 1 3 5 8 11 12 12 13 14 16 18 20 22 23 23 20 16 10 7 6 6 7 9 10 11 12 14 15 17 17 16 15 nan
nan 10 10 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 13 13 13 13 12 11 9 8 7 7 7 9 10 11 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 13 14 15 13 10 8 8 8 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 11 12 13 13 13 13 12 11 10 9 8 7 8 9 9 10 10 10 11 12 12 13 13 14 15 16 16 17 16 15 13 12 12 12 11 10 8 5 3 1 -0 -1 -1 -0 2 5 8 11 13 15 15 15 15 16 18 21 22 24 24 24 24 22 20 17 14 13 11 11 12 13 14 16 18 19 19 17 15 13 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 11 13 14 14 14 12 11 9 8 7 7 8 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 13 12 9 8 7 7 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 14 13 12 11 9 8 8 7 7 7 7 8 9 11 12 13 12 12 14 15 17 17 17 16 15 15 15 15 13 11 9 5 2 0 -1 -1 1 3 6 10 15 18 19 19 19 19 19 20 21 23 24 25 24 22 19 18 18 17 17 16 15 13 13 14 15 17 19 19 18 16 13 11 9 nan
nan 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 14 14 13 12 11 9 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 12 13 13 12 11 9 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 9 9 8 8 7 6 6 7 8 10 10 10 9 10 12 14 15 14 14 13 12 12 13 14 14 12 9 5 3 3 3 5 8 11 16 20 23 24 23 21 20 20 21 21 22 22 22 20 18 14 12 11 11 12 12 13 14 15 16 17 18 18 18 17 15 12 10 8 8 nan
nan 8 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 9 9 9 10 10 10 11 12 13 13 13 12 11 10 9 9 8 8 9 9 9 9 10 10 10 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 11 11 12 12 12 11 10 9 8 7 7 7 7 7 8 9 9 8 7 7 9 11 12 12 11 10 10 10 10 12 14 15 14 11 9 8 9 10 13 16 19 22 23 22 20 18 15 14 14 15 15 15 14 13 12 10 8 8 9 10 12 13 15 16 18 20 21 20 18 15 13 12 10 9 8 8 nan
nan 9 10 10 10 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 9 9 9 10 11 11 12 13 12 11 11 11 10 10 10 10 11 12 12 13 13 13 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 11 11 12 12 11 10 9 8 7 7 6 6 7 8 9 9 9 8 8 8 10 11 11 11 10 9 10 10 11 12 13 13 13 12 12 12 13 14 16 18 19 19 18 15 12 10 9 10 10 11 11 11 10 10 9 10 11 12 13 14 15 17 18 19 20 21 21 19 14 12 10 10 10 9 9 9 nan
nan 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 10 10 11 12 13 13 12 11 11 12 12 12 11 10 11 12 13 13 13 12 11 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 8 7 7 7 6 7 7 8 9 9 9 9 9 10 10 10 10 10 10 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 12 12 12 12 14 15 16 16 17 16 16 15 16 17 18 18 16 15 15 15 16 17 18 18 17 15 12 11 10 10 10 10 10 9 nan
nan 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 11 11 12 14 15 15 13 12 12 12 13 13 12 12 11 12 12 12 11 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 13 16 18 21 23 23 23 22 21 21 20 20 20 20 19 17 15 13 12 12 13 13 14 14 13 13 13 12 12 12 11 11 11 10 nan
nan 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 11 12 12 12 11 11 11 10 11 11 13 15 17 17 15 13 12 12 12 13 12 12 12 13 12 12 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 9 9 10 10 9 9 9 9 10 10 9 8 8 7 8 9 11 13 14 14 14 16 18 19 21 23 23 22 19 17 16 16 16 16 15 14 13 12 12 12 12 11 11 11 12 12 13 13 13 13 13 12 12 12 12 nan
nan 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 9 9 9 9 9 9 10 11 12 13 12 12 11 10 10 10 11 13 15 16 15 13 11 11 11 12 12 12 12 12 12 12 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 12 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 8 8 9 9 9 7 5 5 6 9 11 13 15 15 15 15 15 16 16 17 16 16 15 13 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 13 13 13 13 nan
nan 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 9 9 9 10 11 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 11 11 12 14 13 12 10 9 9 10 11 12 13 13 13 13 12 11 9 8 7 7 8 10 12 13 13 13 12 12 12 11 10 9 9 8 9 10 10 11 12 12 13 13 13 13 13 12 11 11 10 10 10 9 8 7 7 6 6 6 5 5 5 5 6 6 7 7 7 6 6 7 8 8 6 3 1 3 6 11 14 14 15 14 14 14 14 14 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 12 12 13 13 12 nan
nan 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 9 11 12 12 12 11 10 9 9 9 10 10 10 10 9 10 10 10 10 10 10 11 13 14 14 13 12 11 11 12 11 10 8 7 7 8 10 11 13 14 15 15 15 14 12 9 7 7 8 11 14 16 17 16 16 16 16 15 12 10 9 9 9 10 11 12 12 13 13 13 13 13 12 11 11 11 11 11 11 9 8 6 6 6 7 7 6 6 5 5 5 5 4 3 2 1 2 3 4 4 2 -1 -1 3 9 14 15 13 12 12 12 12 12 13 13 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 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 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 12 13 14 15 14 12 11 11 10 10 9 8 6 5 6 8 10 11 12 14 16 18 19 18 15 12 10 9 9 11 14 16 17 18 19 19 19 16 14 12 11 10 11 12 12 13 13 13 14 14 13 12 11 11 11 11 11 10 8 6 5 5 6 7 7 7 7 7 7 6 5 3 1 -1 -1 -0 1 1 0 -2 -2 3 9 16 18 15 12 10 10 10 11 11 12 12 12 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 14 13 12 11 10 10 9 9 9 7 6 5 6 8 9 9 10 12 14 17 19 19 17 15 13 10 10 10 12 14 15 16 17 17 16 15 14 13 12 13 13 13 13 12 13 13 13 13 13 13 13 12 11 9 7 5 5 5 5 6 6 7 8 9 9 9 8 7 6 4 3 3 3 3 2 1 1 4 10 16 20 20 16 13 10 9 9 10 11 12 12 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 nan
nan 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 13 12 11 10 10 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 10 13 15 17 16 13 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 14 13 13 12 12 13 13 14 14 13 10 8 6 5 3 3 4 5 6 6 7 8 9 9 9 9 9 8 8 8 8 8 7 7 7 9 12 15 19 19 17 14 12 10 9 9 10 11 11 11 11 10 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 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
27 8 0 0 0 11 59 177 387 689 1066 1585 2286 2917 3337 3557 3652 3687 3718 3797 3874 3948 4000 4009 3971 3908 3869 3833 3803 3782 3779 3782 3749 3678 3573 3556 3747 4091 4424 4566 4412 4319 4332 4368 4411 4448 4465 4464 4460 4470 4449 4434 4419 4395 4372 4306 4217 4139 4073 4014 3950 3868 3777 3713 3672 3653 3641 3614 3553 3444 3288 3057 2746 2367 1934 1480 1065 733 542 453 433 495 611 724 801 846 852 876 916 957 989 1027 1112 1167 1222 1278 1326 1374 1433 1502 1598 1666 1750 1791 1749 1634 1494 1381 1307 1306 1356 1392 1370 1313 1257 1172 1082 977 843 721 667 590 556 503 466 470 519 586 623 685 690 711 753 813 875 900 872 995 1138 1159 1029 803 564 405 371 352 350 356 370 386 391 384 381 373 359 335 297 252 221 200 186 167 141 106 60 19 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 8 15 18 14
31 14 2 0 0 3 22 102 271 534 884 1351 2045 2628 3101 3414 3584 3687 3741 3803 3883 3959 4006 4014 3983 3910 3876 3845 3817 3799 3784 3761 3720 3670 3636 3727 4021 4335 4487 4442 4338 4314 4304 4327 4386 4443 4467 4469 4450 4420 4381 4348 4318 4293 4273 4204 4098 4005 3922 3836 3739 3638 3560 3509 3459 3419 3384 3327 3213 3020 2729 2363 1950 1533 1134 776 493 303 200 178 195 233 281 331 377 409 432 468 504 521 530 588 698 793 886 951 981 1006 1069 1189 1341 1455 1540 1564 1498 1353 1195 1094 1024 999 1020 1052 1043 977 869 748 635 527 418 326 272 200 196 197 196 198 227 299 363 445 491 524 573 663 791 889 873 903 943 931 817 599 353 255 267 285 318 370 414 430 456 490 485 453 416 381 338 276 228 194 173 156 133 90 36 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 10 14 18
31 14 2 0 0 1 10 48 153 364 691 1103 1638 2086 2524 2906 3182 3353 3467 3555 3644 3744 3819 3890 3948 3927 3911 3895 3871 3852 3828 3786 3725 3669 3722 3957 4278 4478 4475 4369 4321 4305 4272 4290 4352 4397 4385 4360 4326 4283 4222 4162 4109 4061 4017 3955 3859 3764 3662 3537 3404 3304 3249 3203 3140 3069 2990 2882 2707 2421 2032 1612 1203 844 559 357 239 185 122 101 102 112 126 141 156 170 178 187 197 213 244 289 370 474 571 632 646 638 662 773 938 1088 1198 1244 1206 1088 947 832 739 682 672 694 701 644 511 376 268 194 139 91 65 46 43 42 46 53 68 114 162 214 264 299 345 444 604 757 816 822 786 717 599 411 246 216 242 298 371 431 442 437 427 410 386 366 363 383 369 294 232 182 145 119 92 54 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 11
29 12 2 1 1 7 19 38 86 202 419 734 1092 1408 1734 2052 2331 2555 2740 2905 3067 3219 3343 3476 3616 3700 3772 3812 3835 3848 3849 3826 3775 3712 3844 4174 4416 4472 4395 4309 4293 4277 4255 4249 4244 4209 4142 4089 4046 4018 3960 3885 3815 3755 3690 3597 3508 3414 3310 3189 3077 3005 2964 2896 2794 2655 2485 2283 2030 1686 1298 931 618 377 214 127 103 107 79 56 43 39 40 45 50 53 55 59 67 77 88 108 141 192 273 334 350 346 347 415 543 683 801 873 874 779 659 543 448 385 365 378 394 352 238 136 68 36 26 16 7 4 4 6 9 13 19 46 61 80 112 139 171 245 388 558 685 723 662 521 351 209 143 139 168 219 277 318 307 297 271 249 219 191 223 345 395 340 254 160 87 49 26 11 4 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 2 2 6
30 10 3 2 4 9 16 27 52 103 207 397 630 783 905 1035 1179 1336 1506 1683 1865 2042 2260 2518 2768 2966 3163 3353 3520 3656 3757 3817 3838 3842 4015 4320 4452 4414 4315 4252 4234 4194 4160 4095 4007 3912 3819 3748 3725 3707 3657 3586 3510 3440 3364 3241 3142 3056 2967 2876 2800 2754 2710 2616 2460 2223 1927 1596 1256 938 659 430 261 147 80 48 39 38 30 21 14 10 9 10 10 11 10 11 15 21 27 37 55 76 109 141 160 168 164 176 234 323 413 479 501 435 357 275 209 167 153 162 181 151 88 39 12 3 2 1 0 0 0 0 1 1 1 3 11 24 41 56 75 120 214 355 510 602 550 357 162 64 36 38 54 77 102 117 102 99 105 140 197 242 252 377 479 461 354 205 73 14 1 0 1 1 1 1 0 0 1 1 1 2 3 3 4 4 4 4 3 2 3 3 3 3 5
27 9 3 2 2 1 2 6 23 55 110 201 297 321 276 226 235 303 401 499 580 645 769 994 1312 1675 2021 2378 2760 3128 3441 3664 3801 3930 4138 4369 4422 4337 4232 4181 4144 4042 3955 3850 3736 3627 3545 3511 3507 3473 3412 3341 3246 3138 3049 2917 2804 2724 2643 2562 2498 2458 2416 2312 2120 1817 1441 1046 691 433 276 171 103 62 37 22 15 10 7 6 4 3 3 3 2 2 2 2 2 3 4 9 14 21 37 60 81 92 99 97 95 120 159 191 207 179 146 109 75 53 42 42 52 41 23 9 2 1 1 0 0 0 0 0 0 0 0 1 3 6 12 18 27 49 94 178 291 358 326 205 73 18 6 3 2 7 15 16 13 15 26 76 179 300 343 443 522 531 480 371 203 75 17 2 1 1 0 0 1 1 2 3 4 5 6 6 7 8 8 8 6 5 5 4 3 4 5
20 7 3 2 2 2 2 2 5 15 38 70 84 63 31 15 11 15 22 39 55 74 105 146 244 441 715 1063 1465 1948 2495 3026 3468 3822 4162 4383 4395 4270 4130 4044 3975 3868 3741 3622 3511 3420 3362 3338 3317 3268 3198 3127 3008 2842 2698 2550 2438 2339 2239 2147 2092 2080 2024 1916 1729 1435 1076 717 418 221 136 85 52 29 15 5 3 2 2 3 3 2 3 2 2 2 2 1 1 1 1 1 2 3 7 16 28 38 44 44 42 48 59 68 75 65 52 37 23 11 5 4 5 4 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 2 3 5 10 23 58 103 123 106 62 21 6 2 1 1 2 2 2 2 2 4 32 103 208 289 346 397 437 477 481 387 240 103 25 0 0 0 0 1 2 3 4 6 7 7 6 7 8 8 8 6 5 3 2 2 3 6
14 6 3 3 4 3 4 4 4 4 9 16 17 10 5 4 4 4 3 4 4 5 7 7 14 44 106 214 393 676 1095 1676 2398 3180 3881 4300 4377 4240 4060 3940 3853 3726 3571 3441 3332 3245 3181 3141 3105 3015 2897 2773 2617 2430 2255 2106 1992 1901 1819 1718 1634 1628 1541 1441 1275 1031 749 483 276 155 102 65 36 16 4 1 1 1 2 2 3 2 2 3 2 2 2 2 1 1 1 1 1 1 1 2 4 8 13 15 15 18 23 26 26 21 16 11 7 3 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 8 17 22 22 20 11 5 2 1 1 1 1 1 1 1 2 8 22 45 85 130 209 304 382 415 410 313 143 34 1 0 0 0 0 1 2 4 6 6 4 3 2 2 3 3 3 1 0 0 0 1 3
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