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 9 8 8 9 10 10 11 11 11 11 12 14 17 20 22 21 18 14 12 11 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 8 8 8 8 7 5 4 4 3 2 2 1 2 3 3 6 9 10 11 12 13 11 10 12 14 13 10 9 9 11 12 13 14 14 12 10 9 10 11 11 10 10 10 10 11 12 13 13 13 12 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 9 nan
nan 8 8 8 8 9 10 11 11 11 11 11 13 15 19 21 22 20 17 14 12 11 11 11 10 9 7 7 7 7 8 8 8 8 8 7 8 8 8 8 7 6 6 6 6 6 6 7 8 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 9 9 9 9 8 6 6 6 6 6 6 7 7 8 9 10 12 12 12 12 11 11 11 12 13 13 11 10 10 11 11 11 12 13 12 11 11 12 12 11 11 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 6 7 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 9 nan
nan 7 7 7 8 8 9 10 10 11 11 11 12 13 15 17 19 20 19 17 15 15 14 13 11 10 8 8 8 8 8 8 9 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 9 9 9 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 9 8 8 7 7 7 7 7 6 5 5 4 4 4 5 5 6 8 9 9 9 8 8 8 8 8 8 9 9 10 11 10 10 11 12 12 12 11 11 11 11 12 12 11 10 10 10 10 9 10 11 12 12 12 12 12 12 11 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 6 6 7 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 nan
nan 7 7 7 7 8 8 9 9 10 11 11 11 11 12 14 16 18 19 19 19 18 17 15 13 12 11 10 9 9 9 8 8 8 8 8 9 8 7 6 5 5 6 6 6 8 9 9 9 10 9 8 8 9 10 11 13 13 13 13 12 11 10 9 9 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 5 5 6 7 7 8 8 8 8 9 9 9 10 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 10 11 12 12 12 11 11 11 10 10 10 10 10 10 11 10 9 9 9 9 9 10 9 9 8 7 6 5 5 6 7 8 8 8 7 6 6 6 8 8 8 8 8 8 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 nan
nan 6 6 6 7 7 8 8 9 9 9 9 9 8 9 10 11 14 17 20 21 20 18 17 16 15 14 12 11 10 9 8 8 8 9 9 10 9 7 5 4 5 7 7 7 8 9 10 10 10 10 10 10 10 12 14 15 16 15 15 14 12 11 10 10 9 8 8 9 9 8 8 8 7 8 7 7 6 6 5 5 5 6 6 6 7 7 8 9 10 10 10 11 12 13 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 9 8 7 7 8 8 9 10 10 11 10 10 11 11 10 10 10 11 12 12 12 11 10 9 8 8 9 10 10 9 8 7 6 4 5 6 7 7 7 6 6 6 6 6 7 8 8 8 7 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 nan
nan 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 10 14 19 20 19 18 17 17 17 16 14 12 11 10 9 9 10 11 11 10 9 7 5 4 6 9 8 8 8 9 10 11 11 12 12 12 13 14 16 16 16 15 14 13 12 11 11 11 10 10 10 10 9 9 8 7 7 8 8 7 6 5 5 5 5 6 6 5 6 7 8 9 10 10 10 11 12 13 13 12 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 9 8 9 9 10 9 9 9 10 10 11 11 11 11 12 12 12 12 12 11 11 9 8 8 8 9 9 9 8 8 7 6 7 8 8 7 6 5 5 6 6 7 7 8 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 nan
nan 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 12 15 16 16 15 14 15 15 16 15 13 11 10 10 11 12 13 12 11 9 7 6 5 8 9 9 8 8 9 11 12 12 12 13 13 13 13 13 13 12 12 11 10 9 10 10 10 10 10 9 9 8 7 7 7 7 7 7 6 5 4 4 4 4 5 5 5 5 6 8 8 9 9 9 10 11 12 12 12 10 10 10 11 12 12 13 13 12 12 12 11 12 12 13 13 12 12 12 11 11 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 9 8 8 9 9 9 9 8 8 9 10 10 11 10 8 6 6 7 8 9 9 9 8 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 7 7 8 8 8 9 8 7 7 7 8 8 8 8 nan
nan 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 9 10 11 12 12 12 11 10 11 12 13 14 14 13 12 12 13 13 13 12 11 9 8 7 7 8 8 8 9 9 11 12 13 11 10 10 9 8 8 7 7 7 7 7 7 6 6 6 6 7 7 6 5 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 7 8 8 8 8 9 9 10 10 11 11 10 10 10 11 12 12 13 13 13 13 13 13 13 14 15 16 16 15 14 13 11 10 9 9 9 9 10 10 10 10 11 12 12 12 12 13 12 11 10 9 9 9 9 9 8 8 9 10 12 12 12 11 10 10 10 10 11 11 10 9 9 10 10 10 9 8 7 7 6 5 6 6 7 8 8 8 8 7 8 8 9 8 8 7 7 7 8 8 8 nan
nan 4 4 5 5 5 5 5 5 5 5 6 7 8 10 11 12 12 11 11 10 9 9 8 8 9 11 12 14 15 15 15 15 15 13 12 11 10 9 8 8 7 8 9 10 12 13 13 11 9 7 6 5 4 3 2 3 3 4 4 3 3 2 2 2 3 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 13 13 13 13 13 13 13 14 14 15 16 15 14 12 11 10 9 9 9 10 11 10 9 9 10 10 11 11 11 12 12 12 11 10 10 9 8 8 8 8 8 9 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 10 9 8 7 7 7 6 6 6 7 8 8 8 8 7 8 8 8 8 7 7 7 7 8 8 8 nan
nan 5 4 4 5 5 5 5 5 5 6 6 7 10 13 14 14 13 12 10 9 9 8 8 7 8 10 12 14 16 17 18 17 16 14 12 11 10 9 9 9 9 9 11 12 13 12 11 8 7 6 5 5 4 4 4 4 4 3 3 2 1 1 2 2 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 12 12 13 12 12 11 10 9 9 8 9 10 11 11 10 10 9 10 9 9 8 9 11 12 12 12 11 9 8 8 7 7 6 7 9 10 11 12 13 14 15 15 14 14 13 12 11 11 11 11 9 8 7 8 9 10 9 9 9 8 9 9 8 7 7 8 8 8 7 7 7 7 8 7 7 nan
nan 7 6 5 4 4 4 5 5 6 6 6 7 9 12 14 16 15 13 11 10 9 8 7 8 9 10 12 14 16 17 18 17 17 15 13 11 10 10 10 10 11 12 13 13 12 10 8 7 6 5 6 7 7 8 8 7 6 5 4 3 3 3 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 6 7 7 8 8 8 8 10 11 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 11 11 11 12 12 11 10 10 10 10 10 9 8 8 8 9 10 10 11 10 10 10 10 9 7 7 9 11 13 13 12 11 9 8 7 6 5 6 7 8 9 10 12 14 15 14 14 14 13 12 11 11 11 11 9 7 7 8 11 12 11 11 10 10 10 10 9 9 8 8 9 9 8 8 7 8 7 7 6 nan
nan 10 8 7 5 4 4 4 5 5 5 6 6 8 11 14 15 15 14 12 10 8 8 8 9 10 11 12 13 14 15 15 16 16 15 14 12 11 11 10 10 11 12 13 12 11 9 8 6 5 6 7 8 8 9 8 8 7 7 6 5 5 5 5 5 5 5 6 6 7 7 8 8 7 6 6 6 6 7 8 9 9 9 8 9 11 12 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 12 11 10 9 9 10 9 9 8 8 8 8 8 9 11 11 11 10 10 10 9 8 8 10 12 13 13 12 10 9 8 7 6 5 5 6 6 8 10 12 13 13 13 13 13 13 12 12 12 11 10 9 8 9 11 11 11 11 11 11 11 11 12 11 10 9 9 9 9 8 8 8 7 6 6 nan
nan 14 12 10 8 6 4 3 3 5 5 6 7 9 12 15 16 15 13 11 9 8 8 9 10 11 11 12 12 12 13 14 14 14 14 14 13 12 11 11 10 10 11 11 11 10 9 8 6 5 6 7 7 8 7 7 8 7 7 7 7 8 8 7 6 6 6 7 7 8 9 10 9 7 6 6 7 8 8 9 10 10 9 8 9 10 11 12 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 11 10 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 11 13 14 12 10 9 9 8 7 6 5 5 5 6 7 9 10 11 11 11 12 13 13 13 14 14 13 12 11 11 11 10 10 10 11 11 11 12 12 12 12 11 10 9 9 8 8 7 7 6 7 nan
nan 17 16 14 12 9 5 2 3 4 5 6 7 8 11 15 17 16 14 12 9 9 9 10 10 11 11 11 11 11 12 13 13 14 14 14 14 13 13 12 11 10 10 10 10 10 9 8 7 5 6 6 7 7 7 8 8 8 8 9 9 9 9 9 8 7 8 9 10 10 10 9 8 7 6 7 8 9 10 11 11 11 9 8 7 7 8 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 11 9 8 8 9 10 11 11 10 8 9 10 11 11 11 12 12 12 11 11 11 11 13 14 12 10 8 8 9 8 7 6 5 5 5 6 7 8 8 8 9 10 11 12 13 14 15 16 15 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 7 7 8 9 nan
nan 17 17 17 16 12 8 5 4 4 4 5 5 5 8 12 14 15 15 13 11 10 11 11 11 11 11 10 10 10 11 12 12 13 14 15 15 14 13 13 12 12 11 11 11 10 9 8 7 6 6 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 11 11 10 8 6 6 6 7 8 9 10 12 13 13 11 10 8 7 7 7 7 8 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 11 11 12 11 9 8 8 8 10 12 12 11 10 9 10 10 11 11 11 11 12 11 11 10 11 12 13 11 10 9 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 8 9 10 11 12 13 14 13 13 12 11 11 11 10 9 9 9 8 8 9 10 11 10 9 8 8 8 8 9 10 nan
nan 15 15 16 16 15 12 11 7 5 4 3 3 4 5 9 11 13 14 13 11 11 11 11 11 11 11 10 11 11 11 12 12 13 14 15 16 15 15 14 14 13 13 12 11 10 9 8 7 7 8 9 10 10 10 11 9 7 6 5 6 6 6 6 7 9 10 11 10 7 5 5 5 7 8 9 10 11 12 12 12 11 11 11 10 9 8 7 8 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 9 8 7 8 10 11 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 10 10 9 9 10 10 9 9 8 7 7 8 7 7 6 6 6 6 7 7 8 8 9 10 12 12 12 12 12 12 11 10 9 8 7 7 7 8 9 10 9 9 8 9 9 10 10 nan
nan 12 12 13 14 14 15 16 12 7 5 4 3 4 4 6 8 11 13 12 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 15 16 16 16 15 15 14 13 12 12 11 10 9 9 10 11 13 13 13 13 12 8 4 3 4 5 6 6 7 8 10 10 9 8 6 6 6 7 8 9 10 10 11 10 10 9 9 10 11 11 10 9 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 8 9 9 9 10 10 10 9 8 7 7 9 10 11 11 10 10 10 10 10 9 9 10 11 12 12 11 10 10 10 10 11 10 9 9 9 10 10 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 10 11 12 12 12 12 12 11 10 9 8 8 7 8 8 9 9 9 9 9 9 9 10 nan
nan 10 10 11 11 12 15 17 15 10 7 5 5 5 5 5 7 10 11 11 10 9 10 10 10 10 10 11 11 11 12 12 12 12 13 14 15 15 15 15 15 14 14 14 14 13 12 12 12 13 14 15 15 15 13 10 6 4 4 5 6 7 7 7 8 9 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 8 9 8 7 6 5 5 7 8 9 10 10 10 10 11 10 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 8 7 7 7 8 9 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 10 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 11 11 12 12 12 12 11 10 10 9 9 8 8 9 9 9 9 8 8 8 8 nan
nan 10 9 9 8 9 12 15 14 11 9 7 6 5 5 4 7 9 10 11 10 10 10 10 11 11 12 11 11 12 12 12 12 12 11 12 12 13 13 14 14 15 16 18 17 16 15 14 14 15 15 14 13 12 10 7 5 5 7 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 6 5 5 5 6 6 5 4 3 4 6 7 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 9 9 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 12 12 12 11 11 10 9 9 9 9 9 9 8 7 7 6 7 nan
nan 8 8 7 7 8 9 11 12 12 10 8 7 5 4 3 6 8 9 10 10 10 10 11 12 12 13 12 12 12 12 12 11 11 10 10 10 11 11 12 13 15 17 19 19 18 17 16 15 14 13 12 11 9 8 6 6 8 9 11 12 12 11 9 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 7 6 6 6 6 6 7 6 5 4 4 5 6 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 10 9 10 11 12 12 11 11 10 9 9 9 9 10 10 10 9 8 7 7 8 nan
nan 7 7 7 6 7 8 9 11 12 11 10 8 6 4 3 4 5 7 8 10 10 11 11 12 12 13 13 12 12 12 11 11 10 9 9 9 10 10 11 13 15 17 18 18 18 17 16 15 13 11 10 9 8 7 7 8 10 11 12 12 11 11 10 9 8 8 8 8 9 10 11 11 11 11 12 12 11 10 8 8 8 8 8 8 8 8 9 8 8 7 6 5 4 4 5 6 6 7 7 7 7 8 8 7 7 7 6 6 6 7 8 8 8 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 10 11 12 12 12 10 9 8 8 8 9 9 10 10 10 9 9 9 9 nan
nan 7 6 6 6 6 6 8 9 11 11 11 9 8 7 5 4 4 6 8 9 10 11 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 10 12 14 15 17 17 17 17 16 14 12 10 9 8 8 8 8 9 10 10 10 11 11 12 13 13 13 12 12 12 13 13 14 14 13 14 14 14 13 11 9 8 8 8 9 9 9 10 10 10 9 8 7 6 4 3 3 4 5 6 7 7 6 7 7 7 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 9 10 11 11 10 9 8 8 8 8 8 9 9 10 10 10 11 11 nan
nan 7 6 6 6 6 6 7 8 9 10 10 9 9 8 8 6 5 7 8 9 10 11 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 13 14 15 16 17 17 16 14 12 10 9 9 9 10 11 11 12 12 12 12 13 15 16 17 18 18 17 16 16 16 16 15 15 14 14 13 12 11 10 9 8 8 9 10 10 10 10 9 9 8 8 7 6 5 4 4 5 7 7 7 7 7 6 6 7 7 7 8 9 9 10 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 10 10 9 8 8 7 8 8 9 9 9 9 11 12 nan
nan 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 11 12 13 14 15 17 18 17 16 14 12 11 11 11 11 13 15 15 14 14 14 14 15 16 18 19 20 19 17 16 15 14 13 13 12 10 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 6 5 5 5 7 9 9 9 8 7 7 7 8 8 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 5 5 6 6 7 8 9 9 8 8 8 8 9 10 9 8 9 10 nan
nan 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 10 9 9 10 10 11 12 13 15 16 18 18 18 16 14 13 12 12 12 13 14 14 14 14 13 13 13 13 14 16 17 16 15 13 11 10 9 9 9 8 6 6 7 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 6 5 6 8 10 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 10 10 10 9 9 9 9 10 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 6 5 4 5 5 7 8 8 8 8 8 9 9 9 8 8 9 nan
nan 8 8 7 8 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 10 9 9 9 10 11 12 13 14 16 17 18 18 17 16 15 13 12 11 12 12 12 12 11 12 12 11 10 10 11 13 13 11 9 8 7 7 8 8 8 7 6 7 8 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 6 6 6 8 10 11 11 10 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 8 8 9 9 10 10 9 9 8 8 9 10 10 9 9 8 8 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 9 8 7 6 6 6 7 8 9 8 8 7 8 8 9 9 9 9 nan
nan 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 12 13 14 15 16 16 17 16 16 14 13 11 11 10 10 10 10 10 11 11 11 10 9 10 10 11 11 9 7 6 7 8 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 7 6 6 8 10 11 11 10 9 8 9 10 10 10 9 7 7 7 8 8 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 9 8 7 7 7 8 9 10 10 nan
nan 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 11 11 12 13 13 14 15 16 16 16 14 12 11 10 9 9 8 8 9 9 11 11 11 10 9 9 10 11 10 9 8 9 11 12 12 11 10 10 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 6 7 9 11 11 11 10 9 9 9 10 11 11 10 9 8 8 9 9 9 9 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 11 11 11 11 10 11 11 11 11 10 9 8 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 10 10 9 9 9 8 9 10 11 11 11 12 12 12 13 14 16 15 13 11 10 9 9 8 8 8 8 8 9 10 9 8 7 6 7 10 11 10 10 10 12 13 12 12 11 10 9 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 6 6 7 8 10 11 11 11 11 11 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 11 12 12 12 12 12 11 11 11 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 10 11 11 11 11 11 12 13 15 15 13 11 10 9 9 9 9 9 9 9 9 8 8 6 5 5 6 9 9 9 8 8 9 10 11 12 12 12 12 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 9 9 10 10 10 9 9 8 9 9 9 9 9 8 8 9 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 10 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 11 10 10 11 12 14 14 13 12 11 10 10 10 11 11 11 10 10 9 8 7 6 6 8 9 9 8 7 6 7 8 9 10 12 13 14 13 11 11 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 9 10 11 11 11 10 10 9 10 10 10 10 9 9 9 9 9 9 10 11 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 12 12 13 13 12 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 8 10 11 12 12 11 11 11 11 11 10 9 8 8 8 7 7 7 8 10 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 10 9 9 10 11 11 11 11 11 11 12 11 11 10 10 10 9 9 9 10 11 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 nan
nan 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 13 13 13 13 13 13 13 13 12 10 9 8 8 8 8 9 9 8 7 7 8 8 8 8 8 9 9 10 10 10 9 8 9 8 8 8 8 8 9 10 10 9 8 8 7 7 7 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 9 9 10 11 12 11 10 9 8 9 10 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 8 nan
nan 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 12 12 12 13 13 12 12 13 13 14 14 14 13 11 9 8 8 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 8 9 10 10 10 8 8 8 10 10 10 10 10 11 11 11 12 12 11 10 9 8 7 8 10 11 11 12 12 12 11 10 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 12 12 12 11 11 11 12 12 13 13 14 14 13 11 10 10 10 10 11 11 11 11 10 10 9 9 8 7 7 7 8 10 11 11 11 10 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 8 8 7 8 9 10 10 9 10 10 9 9 10 10 10 9 9 8 6 6 8 9 10 11 12 12 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 11 11 10 10 9 9 nan
nan 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 9 10 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 9 9 9 10 11 12 12 12 10 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 8 7 7 7 8 9 9 9 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 9 10 12 11 10 9 9 9 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 10 10 10 10 nan
nan 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 8 8 9 9 9 9 10 10 10 11 11 11 12 12 11 12 12 12 13 13 12 11 10 9 10 10 10 10 10 10 10 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 8 7 7 7 8 8 8 7 7 8 10 12 12 11 10 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 nan
nan 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 12 12 13 13 12 11 9 8 8 7 7 6 5 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 11 10 9 7 7 7 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 9 9 9 8 7 8 10 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 nan
nan 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 11 10 8 6 4 3 3 3 3 3 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 11 11 12 11 10 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 9 8 8 9 11 13 13 12 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 nan
nan 10 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 6 5 3 3 3 4 5 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 9 8 7 7 9 9 9 9 10 10 10 11 11 10 10 10 11 11 10 9 8 8 9 10 12 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 11 11 12 nan
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nan 12 13 13 13 13 12 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 9 11 13 14 16 16 16 16 15 14 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 13 13 13 12 11 10 10 9 8 8 9 10 11 11 12 11 11 11 12 12 11 10 9 9 9 9 9 9 9 8 7 6 7 7 7 6 6 6 6 7 8 9 9 9 10 11 11 10 9 9 8 8 8 9 10 11 11 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 7 7 8 9 11 12 11 9 6 3 1 3 5 7 8 8 8 9 9 9 9 10 10 10 9 10 10 11 nan
nan 14 15 15 15 13 12 11 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 10 13 15 17 18 18 17 17 16 15 14 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 11 12 12 12 12 11 10 9 8 8 9 10 11 13 15 15 14 13 12 12 12 12 11 11 10 10 10 10 10 9 8 7 6 7 7 8 7 7 6 6 7 8 9 9 10 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 12 13 13 12 10 10 10 10 10 9 9 8 7 6 6 5 6 8 10 11 11 10 7 3 2 4 7 9 9 8 8 9 9 8 8 9 10 11 11 11 10 10 nan
nan 16 18 18 17 15 13 11 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 12 14 16 17 17 16 16 16 16 15 14 12 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 11 12 12 12 11 11 10 9 9 9 10 11 13 16 19 18 17 15 13 12 12 12 12 12 11 11 11 10 10 10 9 8 7 7 7 8 8 7 6 6 7 7 8 10 11 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 11 10 10 11 11 11 11 11 10 9 7 5 5 7 9 10 12 12 11 8 5 4 5 8 9 9 9 9 9 9 8 7 8 10 11 12 11 10 9 nan
nan 17 18 18 17 16 14 12 11 9 9 9 10 10 10 9 9 8 8 9 9 9 8 8 8 9 8 8 9 11 14 15 16 15 15 14 15 15 16 15 14 13 12 11 11 10 10 11 11 11 11 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 15 18 19 19 18 17 15 14 13 13 12 12 11 11 11 10 10 10 10 8 7 7 7 8 8 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 9 10 10 11 11 10 10 10 10 11 11 11 10 11 12 12 12 13 14 13 12 10 7 8 9 10 11 13 13 13 11 8 7 7 9 9 10 9 9 9 9 9 8 8 9 11 12 11 10 9 nan
nan 15 16 16 16 15 14 13 11 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 10 12 14 15 15 15 14 13 14 14 15 15 15 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 16 17 17 18 18 16 15 14 13 13 13 12 11 10 10 10 10 10 9 8 7 7 8 8 8 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 10 11 11 11 10 9 10 10 10 10 10 11 12 12 13 14 14 14 13 11 9 9 10 10 11 13 14 14 12 10 9 10 11 11 10 10 10 10 10 9 8 8 9 10 10 9 8 6 nan
nan 13 14 14 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 11 13 14 15 15 14 13 13 13 14 14 15 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 7 8 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 14 15 15 16 16 16 15 15 14 14 14 12 11 10 9 9 10 10 9 8 8 7 8 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 12 12 11 10 9 8 8 9 10 12 13 14 13 11 11 12 13 13 11 10 10 9 9 8 8 8 9 8 7 5 4 4 nan
nan 11 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 14 15 15 15 13 13 12 12 13 13 13 13 13 12 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 6 6 7 7 7 8 9 10 10 10 10 11 11 12 12 12 12 13 12 11 10 10 11 12 13 14 15 15 14 14 14 14 15 14 13 12 10 9 9 9 10 10 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 9 10 10 10 11 11 10 10 9 9 8 8 7 7 7 7 7 9 10 12 14 14 12 12 13 14 14 12 11 9 9 8 7 7 6 6 4 2 0 1 3 nan
nan 13 14 13 12 11 10 10 9 9 10 10 10 11 11 11 11 12 11 11 11 11 12 13 15 15 16 16 15 13 12 11 12 12 12 13 13 12 11 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 7 6 6 7 8 9 9 10 10 11 11 12 12 12 12 12 13 13 12 11 10 10 11 12 13 13 13 13 12 12 12 14 15 15 14 12 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 6 5 5 5 6 7 8 10 12 15 15 14 14 14 16 16 14 12 10 9 9 7 5 3 1 1 1 2 3 6 nan
nan 16 15 14 13 11 11 10 9 9 9 10 10 11 11 12 12 12 13 13 13 13 14 15 16 16 16 15 14 13 12 11 12 12 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 10 11 10 9 7 6 6 7 8 9 10 11 11 11 12 13 13 12 11 12 13 13 12 11 10 10 10 11 12 12 13 12 11 10 11 13 14 15 15 13 12 11 11 11 11 12 12 11 10 9 9 9 8 8 8 9 9 10 10 9 9 10 11 11 11 11 10 10 10 10 9 8 8 9 9 10 10 10 10 9 8 8 7 7 6 5 5 4 5 6 7 8 10 13 15 16 15 15 16 17 17 15 13 11 10 10 8 5 3 3 4 6 8 8 9 nan
nan 16 15 14 13 12 11 10 9 9 9 10 10 10 10 11 11 11 11 12 12 13 14 15 15 15 15 14 13 13 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 8 9 10 10 10 9 7 6 6 6 8 9 10 11 11 11 12 12 12 12 11 11 12 12 11 11 10 10 9 10 11 12 12 12 10 10 10 12 13 14 14 13 13 13 13 12 13 13 13 12 11 10 10 10 9 9 9 10 10 11 10 9 8 8 8 9 10 11 11 12 11 10 8 7 8 8 9 9 9 9 9 9 8 8 7 6 5 5 4 4 5 6 7 9 10 13 15 15 16 15 16 17 17 16 14 10 9 9 9 8 9 10 11 11 10 9 8 nan
nan 14 14 13 12 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 14 14 14 14 13 12 12 11 11 11 11 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 6 6 6 6 7 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 11 11 10 10 11 12 12 12 10 8 6 5 5 6 8 10 12 13 11 10 8 8 8 9 9 9 9 9 8 8 8 7 7 6 5 4 4 5 7 8 10 11 13 14 15 15 15 15 16 16 17 14 10 8 8 9 11 14 14 14 13 11 9 8 nan
nan 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 13 12 12 12 11 11 10 10 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 10 11 11 10 9 7 6 6 5 6 6 7 8 9 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 11 12 13 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 12 11 8 6 4 4 5 9 12 13 13 11 10 9 9 8 9 8 8 8 8 8 7 7 6 5 3 3 3 5 8 9 10 11 12 13 14 14 13 12 12 12 13 12 10 9 8 9 11 13 13 13 12 12 11 10 nan
nan 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 12 12 11 11 10 10 9 9 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 10 10 11 11 12 12 12 12 12 12 11 11 10 9 8 7 6 6 5 6 7 8 9 10 10 10 10 9 8 9 10 11 12 12 11 11 11 11 11 10 9 9 8 9 9 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 12 12 13 13 14 13 11 9 8 8 10 11 12 12 11 10 9 9 8 8 8 7 7 7 7 5 3 2 1 0 1 4 7 10 10 11 11 12 13 14 14 13 11 9 6 5 5 6 7 8 9 10 10 11 11 12 12 12 11 nan
nan 12 11 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 12 13 14 13 12 11 10 10 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 7 6 6 6 6 7 9 10 11 12 11 11 9 8 9 11 13 14 13 12 11 11 11 11 11 10 9 9 9 9 9 10 11 12 13 14 14 12 11 10 9 9 9 9 9 8 7 7 7 7 7 8 8 9 11 12 12 13 13 14 14 13 14 14 14 13 11 10 9 9 9 8 8 8 7 6 6 6 4 2 -0 -1 -0 1 4 8 10 11 11 11 12 13 14 15 17 17 14 10 5 2 2 3 5 7 8 9 10 11 13 14 14 13 11 nan
nan 12 11 10 10 10 10 10 10 11 10 9 9 9 9 10 10 10 10 10 10 11 12 13 14 13 13 11 10 10 9 9 9 9 9 10 11 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 6 6 6 7 8 9 11 12 13 12 11 9 8 10 11 13 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 10 10 9 8 7 6 6 6 6 6 6 7 7 9 10 11 12 11 11 12 12 14 16 17 16 15 12 9 8 8 8 8 8 6 5 4 3 2 1 -0 0 2 5 8 11 12 12 12 12 12 14 15 17 19 21 21 19 15 11 8 7 7 7 8 9 10 12 15 17 16 15 13 11 nan
nan 11 10 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 9 10 10 11 12 12 13 13 12 12 10 10 9 9 8 8 9 10 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 10 12 13 14 12 10 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 12 10 8 7 7 6 6 6 7 7 8 8 9 10 11 12 11 10 9 10 11 12 14 15 16 16 14 10 7 7 7 7 5 3 1 1 0 0 1 3 6 10 13 15 15 14 13 13 14 16 17 19 20 21 21 21 20 19 17 15 13 12 12 11 12 13 16 18 18 17 14 11 10 nan
nan 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 13 13 13 12 11 10 9 9 8 8 9 10 12 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 10 12 13 13 11 9 8 8 9 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 12 13 13 14 13 10 8 7 6 6 7 8 9 10 11 11 11 13 14 12 11 9 9 10 11 12 12 13 13 15 14 11 8 6 5 4 3 1 1 1 3 4 7 11 16 19 19 18 16 16 17 18 19 19 20 20 19 18 16 15 15 15 15 15 15 14 14 15 16 17 19 19 18 15 12 10 9 nan
nan 10 9 9 9 9 10 10 10 9 8 8 7 8 8 7 7 8 8 9 10 11 12 12 12 13 13 12 12 10 9 8 8 8 9 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 8 9 10 11 12 12 11 9 9 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 14 12 10 8 6 6 6 8 9 10 11 12 12 12 13 13 12 10 9 11 12 13 13 12 12 12 13 13 12 10 8 6 4 4 4 5 8 10 13 16 20 23 22 20 17 16 17 19 19 18 18 17 16 14 11 9 9 9 9 10 13 15 16 18 19 21 21 20 18 15 12 10 10 10 nan
nan 9 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 7 8 9 10 10 11 11 12 12 12 12 11 10 9 8 7 8 10 11 12 12 11 11 10 11 12 12 12 11 10 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 11 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 11 10 8 6 6 7 8 9 10 11 11 11 11 12 12 11 10 11 13 14 15 14 13 13 12 13 14 14 14 12 9 8 8 9 11 14 17 19 21 22 21 18 14 12 12 13 14 13 12 11 10 9 8 7 7 8 9 10 13 15 18 20 22 23 24 22 18 15 12 10 11 11 11 nan
nan 9 10 10 10 10 10 10 9 9 8 8 9 9 8 8 7 6 7 8 9 9 10 10 11 11 11 11 11 10 9 8 7 8 9 10 11 11 11 11 11 11 12 12 12 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 12 12 10 9 7 6 6 8 9 10 10 10 10 10 10 10 10 10 10 12 13 14 14 14 13 13 13 14 14 14 14 13 12 11 11 12 13 15 17 18 18 16 13 9 7 8 10 12 11 10 9 9 8 8 9 10 11 12 12 13 16 18 19 20 21 22 22 19 15 12 11 11 12 12 12 nan
nan 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 11 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 12 11 10 8 7 6 7 8 9 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 11 12 13 13 13 12 11 10 10 11 14 16 17 17 16 16 15 14 15 16 16 16 15 13 14 14 15 15 15 16 16 16 14 13 12 12 12 13 14 14 nan
nan 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 9 10 11 10 9 9 9 10 9 8 8 8 9 10 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 12 13 16 19 22 23 22 21 20 19 19 19 19 19 18 16 14 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 14 15 nan
nan 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 11 11 10 9 10 11 12 11 10 9 9 10 11 13 13 12 11 10 9 9 10 10 10 9 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 9 9 8 8 9 10 10 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 11 12 13 13 13 15 16 17 19 20 20 19 18 16 15 15 16 16 15 14 13 12 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 13 14 nan
nan 10 10 11 11 10 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 11 11 10 9 8 9 11 12 12 11 10 10 11 13 14 14 13 13 11 10 10 11 11 11 10 9 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 11 10 10 9 9 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 8 8 8 7 7 7 9 10 12 13 14 14 15 15 15 15 14 14 14 14 13 13 12 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 12 12 13 nan
nan 10 10 11 10 9 9 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 9 8 8 8 9 10 12 12 12 11 10 9 8 9 10 11 12 11 11 11 12 13 14 14 15 15 13 12 12 12 12 11 10 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 7 7 7 8 10 11 11 11 10 9 9 9 8 7 6 4 3 2 2 3 5 6 7 6 6 7 7 7 6 4 3 5 9 12 14 14 14 15 15 15 14 13 12 12 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 9 9 9 10 11 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 8 9 10 11 12 12 12 11 10 9 9 11 11 11 11 11 11 11 11 12 13 14 15 16 16 16 15 14 12 9 7 7 9 11 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 10 9 9 8 7 7 7 8 10 10 10 9 8 8 8 9 8 7 6 4 1 -0 -1 -0 2 3 3 4 4 5 5 5 3 1 2 5 10 14 15 14 13 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 nan
nan 11 10 9 9 9 10 11 11 11 11 11 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 11 11 12 11 11 10 10 9 8 8 9 10 12 15 17 19 21 19 16 13 10 9 9 11 14 15 16 16 17 16 14 13 13 12 11 11 11 11 11 10 10 9 8 7 6 6 7 7 7 7 6 6 6 6 8 9 9 9 8 8 6 4 3 2 2 2 2 3 4 4 4 3 1 2 5 10 15 16 14 13 12 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 nan
nan 11 10 9 9 10 11 11 11 11 11 12 12 12 12 11 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 11 11 12 11 11 10 9 7 6 5 5 6 8 10 13 16 20 21 20 18 15 13 12 13 14 15 16 17 17 17 16 16 15 14 12 11 10 10 10 10 10 9 9 7 7 6 5 4 4 4 4 4 5 6 8 9 10 10 10 11 12 11 9 7 5 4 4 5 6 7 7 7 7 9 13 16 19 18 15 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 9 9 nan
nan 10 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 9 10 11 12 11 11 10 9 9 9 9 10 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 6 5 4 5 5 6 8 11 15 18 19 18 16 15 15 14 14 14 14 14 14 14 14 14 13 12 11 10 9 9 8 9 9 9 9 9 8 5 4 3 4 4 5 6 7 8 9 10 10 11 12 12 11 10 9 9 8 9 9 10 12 13 14 16 17 18 18 17 15 14 13 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 13 12 12 11 11 10 10 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
35 25 18 14 9 7 4 17 77 224 498 943 1562 2286 2892 3219 3268 3184 3112 3058 3031 3027 3037 3051 3059 3054 3039 3008 2972 2926 2883 2859 2866 2872 2883 2903 2919 2925 2912 2873 2818 2744 2723 2732 2749 2763 2777 2805 2877 2985 3053 3139 3284 3476 3654 3730 3746 3721 3662 3580 3463 3279 3001 2690 2412 2157 1897 1621 1342 1089 886 709 571 483 443 441 460 485 515 550 583 610 636 669 718 828 944 1039 1116 1169 1193 1194 1186 1133 1021 879 715 540 383 275 199 131 79 42 19 9 11 37 94 179 264 297 267 213 181 176 184 204 205 177 156 224 223 186 144 118 120 147 178 183 144 102 111 214 388 524 337 133 49 17 7 6 7 13 11 5 3 2 1 0 0 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1
4 2 1 1 1 0 0 1 10 38 101 240 580 1160 2203 3039 3366 3423 3351 3252 3195 3168 3157 3153 3147 3136 3117 3078 3028 2974 2930 2910 2911 2914 2914 2940 2975 2995 2981 2926 2857 2787 2752 2746 2756 2774 2798 2838 2958 3067 3146 3237 3367 3527 3671 3745 3733 3693 3623 3495 3294 3032 2731 2420 2142 1896 1661 1414 1156 914 717 550 434 368 339 336 346 360 366 402 447 483 511 548 597 683 782 877 967 1034 1068 1101 1114 1112 1075 985 843 671 502 362 254 165 107 72 52 47 55 81 134 219 296 345 364 344 307 272 231 202 175 151 162 210 199 145 97 88 131 230 374 464 473 445 442 502 598 582 332 178 103 79 69 45 6 9 14 18 18 12 4 0 0 0 1 2 2 3 3 3 2 1 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 0 0 0 0 1 5 15 43 130 384 1142 2139 3000 3503 3619 3509 3394 3317 3274 3250 3238 3230 3213 3172 3111 3046 2994 2967 2963 2967 2969 2998 3041 3064 3042 2976 2902 2841 2799 2781 2785 2806 2849 2927 3079 3175 3251 3333 3436 3559 3677 3743 3705 3607 3476 3266 2975 2654 2312 1995 1736 1532 1356 1175 971 760 578 437 349 302 281 273 274 287 263 268 291 320 351 389 432 493 574 668 758 828 877 931 1019 1103 1119 1070 976 864 749 571 401 282 218 190 180 185 203 246 295 347 396 431 434 392 317 245 174 134 127 134 161 208 184 114 62 82 205 427 687 858 949 980 959 891 780 572 307 130 58 55 54 23 3 12 24 31 29 19 7 1 0 0 0 0 1 1 3 3 3 1 1 0 0 0 1 1 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 0 0 0 0 0 2 6 13 103 412 1069 1989 2908 3516 3670 3586 3477 3406 3364 3334 3325 3306 3262 3198 3127 3064 3027 3023 3037 3055 3086 3119 3123 3083 3014 2952 2907 2869 2852 2852 2883 2962 3087 3214 3302 3361 3426 3510 3600 3659 3641 3552 3337 3112 2848 2518 2154 1775 1465 1237 1079 965 857 725 568 429 331 272 238 220 208 204 211 185 172 174 189 212 239 269 308 352 418 493 565 632 701 796 893 949 963 968 972 943 831 671 568 537 546 558 565 542 534 516 499 487 465 406 314 217 142 84 68 83 75 47 34 52 46 53 132 322 616 905 1110 1255 1309 1259 1122 863 551 283 104 21 2 4 3 7 13 19 21 17 10 3 0 1 0 0 1 3 1 1 1 1 1 1 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 18 86 324 873 1730 2687 3402 3612 3580 3517 3470 3433 3409 3382 3333 3265 3191 3128 3091 3088 3115 3151 3186 3201 3186 3140 3075 3018 2979 2955 2936 2950 3021 3131 3219 3307 3372 3421 3458 3469 3476 3501 3320 3133 2839 2549 2252 1916 1553 1219 971 781 648 555 477 398 324 261 215 183 162 147 135 127 117 104 97 98 103 114 130 147 169 194 225 266 316 368 417 468 530 592 659 738 825 882 899 864 866 923 1003 1055 1044 945 823 684 549 438 347 254 169 116 72 38 19 13 8 3 2 13 42 109 237 442 716 935 1153 1345 1420 1334 1139 806 459 214 68 8 2 0 0 1 5 11 15 11 7 3 3 2 2 4 12 25 17 9 4 2 1 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
0 0 0 0 0 0 1 0 0 0 0 0 0 5 21 68 247 689 1470 2512 3246 3490 3541 3523 3490 3464 3432 3381 3314 3246 3193 3165 3168 3214 3260 3287 3285 3256 3210 3154 3099 3070 3070 3068 3103 3184 3276 3329 3344 3360 3372 3346 3223 3054 2953 2685 2454 2177 1888 1601 1312 1021 781 600 452 343 265 206 163 142 129 116 103 93 85 78 70 58 51 48 48 51 58 64 71 81 94 104 118 138 162 183 202 235 293 378 481 579 632 652 694 798 931 1044 1116 1155 1075 938 762 577 402 247 144 100 89 82 66 42 21 13 12 23 62 124 214 341 498 663 762 947 1147 1248 1193 979 595 299 136 55 17 8 4 1 2 10 24 36 34 27 18 13 8 3 6 25 61 55 44 35 27 16 8 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 23 143 500 1271 2276 2912 3316 3518 3565 3530 3491 3434 3371 3307 3263 3248 3263 3313 3357 3371 3356 3322 3277 3232 3196 3195 3223 3244 3265 3296 3327 3325 3269 3202 3099 2961 2745 2450 2144 1882 1677 1452 1219 1003 808 619 448 322 229 163 118 87 68 59 56 55 52 48 46 44 38 30 25 27 29 30 33 34 34 35 39 44 51 58 64 73 79 96 126 172 232 285 317 315 337 426 545 647 734 795 803 786 730 639 522 381 265 218 216 233 236 201 128 107 112 139 172 203 237 280 331 389 449 577 751 911 969 716 425 223 121 75 47 26 9 5 7 19 40 61 67 59 42 34 29 24 26 42 72 90 96 104 106 92 61 32 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 2 2 1 1 1 1 0 0 0 0 0 3 10 7 5 86 404 1070 1725 2308 2824 3223 3465 3569 3535 3476 3407 3357 3342 3361 3399 3431 3435 3417 3384 3348 3324 3314 3333 3371 3384 3368 3331 3277 3195 3067 2872 2616 2340 2066 1783 1479 1202 999 838 693 544 401 295 194 131 91 65 47 34 26 24 22 26 26 24 22 20 17 12 10 14 19 21 20 20 20 19 18 17 17 18 17 28 32 35 39 47 58 79 98 98 114 150 197 246 286 301 352 416 465 490 491 480 432 390 391 421 436 392 300 232 198 183 170 149 123 105 110 135 181 266 407 600 796 731 478 279 167 111 76 49 23 17 22 35 51 69 86 98 103 98 93 95 100 113 127 131 134 145 158 162 150 111 32 0 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0
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