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 10 10 10 10 10 11 11 10 10 9 8 7 7 8 9 10 11 11 10 10 10 10 9 8 8 9 9 7 7 7 7 7 7 8 9 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 9 9 10 10 11 11 11 10 10 9 10 11 11 12 12 12 11 11 11 10 10 10 10 11 12 13 13 13 11 9 9 9 10 12 11 10 9 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 6 7 7 8 9 9 9 10 11 11 10 9 8 8 9 9 9 8 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 9 10 12 14 15 16 19 24 nan
nan 9 9 9 10 10 10 10 9 9 8 7 7 7 8 9 10 10 11 10 10 10 9 8 8 8 7 6 5 5 7 8 8 8 7 8 9 10 10 11 10 9 8 8 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 9 10 11 11 12 11 10 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 12 13 13 11 10 8 9 11 12 13 12 11 9 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 8 7 7 6 7 6 7 8 8 8 9 10 10 10 9 7 8 9 9 10 9 8 7 7 6 6 7 6 6 6 7 8 9 9 8 8 8 9 11 14 15 17 18 23 nan
nan 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 10 10 9 8 8 8 8 7 6 5 6 8 9 9 8 6 7 8 9 10 10 9 8 7 8 9 9 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 10 11 11 11 10 10 10 11 11 11 10 9 9 8 8 10 12 12 11 10 9 10 11 12 13 13 12 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 11 11 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 8 9 10 11 10 9 8 8 7 7 7 6 6 6 8 9 10 9 8 7 7 8 10 12 14 16 17 21 nan
nan 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 9 10 10 9 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 10 9 10 10 9 9 9 10 11 11 11 10 9 8 8 10 11 11 11 9 9 10 10 10 11 10 9 8 7 8 9 10 11 11 10 10 10 11 12 13 14 13 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 11 10 9 8 9 10 11 10 10 9 9 9 9 7 7 7 7 9 10 9 9 8 8 7 8 9 10 12 14 16 18 nan
nan 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 11 10 10 10 10 10 11 11 11 10 9 8 8 9 9 10 11 11 11 11 11 11 12 14 13 11 10 10 11 11 11 10 9 9 9 9 8 8 7 7 8 9 9 9 9 8 8 8 10 10 9 8 8 8 9 10 10 10 9 8 8 8 7 8 8 9 10 11 11 10 10 9 10 11 10 10 10 10 10 10 9 8 9 10 11 11 10 10 9 8 8 8 8 9 11 13 14 15 nan
nan 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 11 11 12 12 11 12 13 13 13 12 11 10 11 11 11 11 10 10 9 9 8 7 7 7 8 9 9 10 10 9 10 10 10 10 9 9 9 9 10 10 11 10 9 8 7 7 8 8 9 10 11 12 12 11 11 11 11 11 11 10 10 10 11 11 10 10 11 12 12 12 11 10 9 9 9 8 8 9 11 12 13 13 nan
nan 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 7 6 6 6 6 7 8 8 8 8 8 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 9 9 8 8 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 13 14 14 13 12 11 10 10 10 11 11 11 10 9 8 8 7 7 8 9 9 10 10 10 11 11 10 10 9 10 11 11 11 11 11 11 11 9 8 7 8 9 9 10 11 12 12 11 11 11 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 10 9 9 10 10 10 9 9 10 11 13 14 nan
nan 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 7 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 11 10 9 9 8 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 13 14 14 13 12 10 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 11 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 11 10 9 9 10 10 10 10 9 9 9 9 10 11 13 13 13 12 11 9 9 9 9 9 10 10 10 9 10 10 13 16 nan
nan 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 11 13 14 14 12 10 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 11 11 10 9 9 9 9 9 10 9 9 9 10 13 15 nan
nan 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 10 11 11 12 12 12 11 9 7 7 7 8 8 8 9 9 9 9 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 11 13 14 13 11 9 8 7 7 7 7 7 6 6 6 7 8 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 12 14 nan
nan 8 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 10 11 11 11 11 11 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 11 11 12 13 12 10 8 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 13 14 13 11 10 9 8 8 8 7 7 6 6 7 8 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 9 9 8 7 8 9 10 10 11 11 11 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 8 8 9 9 10 11 12 12 12 12 10 9 8 8 8 9 11 nan
nan 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 12 12 12 12 11 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 9 8 7 8 9 9 9 10 9 9 10 10 10 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 9 9 8 8 9 10 12 14 13 12 11 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 9 8 8 8 7 7 6 6 6 7 8 9 8 7 8 8 9 10 11 11 11 10 9 8 8 8 9 10 9 9 8 8 9 11 12 13 12 12 10 9 8 8 8 8 8 9 10 11 12 12 12 11 9 8 7 7 7 9 nan
nan 8 8 8 9 9 9 9 9 8 8 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 12 10 8 7 8 8 9 9 9 9 8 8 9 10 11 11 10 10 10 10 11 11 9 9 9 10 10 11 11 11 10 10 9 8 7 8 10 12 14 14 14 12 10 10 10 10 9 8 8 7 7 8 10 11 11 9 8 7 7 8 9 8 7 6 6 7 8 8 8 8 8 10 11 11 11 11 11 10 9 8 8 9 10 11 10 10 9 9 9 11 13 14 15 14 11 10 9 8 8 8 8 8 9 9 9 10 11 11 10 9 8 8 7 7 7 nan
nan 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 8 9 9 10 12 12 11 9 8 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 10 11 10 10 10 11 12 11 11 11 10 10 9 8 7 8 10 12 14 15 15 13 11 11 11 10 10 9 8 8 8 8 10 11 10 9 7 7 7 9 9 9 7 7 7 7 8 8 8 9 10 11 12 12 11 11 10 10 9 9 9 10 11 11 10 9 9 9 10 12 14 15 15 13 10 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 nan
nan 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 13 12 10 8 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 10 10 10 10 12 13 14 13 12 11 10 10 9 8 8 9 10 12 14 16 16 14 13 12 12 11 10 9 8 8 7 8 9 10 10 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 10 11 11 11 10 9 9 8 9 9 10 10 11 10 9 9 8 9 10 12 13 14 13 11 9 8 7 7 9 10 11 11 10 8 7 7 7 7 8 8 8 9 9 8 7 nan
nan 9 9 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 13 13 11 9 7 6 6 6 5 5 6 6 7 8 8 9 9 10 10 10 10 10 10 9 9 10 11 14 15 15 14 13 12 11 10 9 9 9 9 10 12 15 17 17 16 14 13 12 11 9 8 7 6 6 7 7 8 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 8 7 6 6 7 9 11 12 13 10 8 8 8 7 7 8 9 9 9 9 9 9 nan
nan 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 10 9 9 8 8 7 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 12 10 7 6 6 5 4 4 5 5 6 7 9 9 9 9 9 9 10 11 11 10 9 9 10 12 15 16 16 15 13 12 11 10 9 9 9 9 10 12 15 18 19 17 15 12 9 7 6 4 4 4 4 5 6 7 8 9 9 10 10 11 12 13 13 13 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 8 10 12 13 12 9 8 8 8 9 9 9 9 9 9 10 10 10 nan
nan 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 11 11 10 10 9 9 8 8 8 9 9 10 11 11 11 10 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 12 9 8 6 5 5 4 4 5 5 6 8 10 10 10 9 9 9 10 11 11 10 9 8 9 12 15 16 16 15 14 12 11 10 10 10 8 7 6 8 11 15 16 15 13 10 7 4 3 2 2 2 2 3 4 6 7 8 8 9 10 11 11 12 11 11 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 8 10 13 14 13 10 8 7 8 8 9 10 9 9 9 9 11 11 12 nan
nan 8 8 8 7 7 7 7 8 8 8 9 8 8 8 9 10 11 11 10 9 9 8 8 8 9 9 10 11 11 11 10 9 8 7 7 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 12 13 13 12 11 9 7 5 4 4 5 5 6 7 9 10 10 10 9 9 10 11 12 11 9 8 8 9 12 14 15 15 15 14 12 10 9 9 9 6 4 3 4 7 10 12 11 10 8 6 4 3 3 3 4 3 3 3 4 4 5 5 6 7 8 7 7 7 6 6 7 8 9 10 10 10 10 10 10 10 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 7 9 12 14 14 11 8 6 7 7 8 9 10 10 9 9 9 11 12 13 nan
nan 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 9 10 10 9 9 9 8 9 9 9 10 11 11 10 10 8 7 7 6 6 5 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 12 13 13 11 8 6 4 4 4 5 6 7 7 9 9 10 10 9 10 10 11 12 11 9 8 8 9 11 13 14 14 14 12 10 9 8 7 7 5 4 4 5 7 9 10 9 8 7 7 6 6 6 6 6 6 5 4 3 2 1 2 2 2 2 2 3 4 4 5 6 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 10 12 12 8 7 7 7 8 8 9 9 9 9 8 9 10 12 14 nan
nan 8 8 8 7 8 8 9 9 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 6 6 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 9 6 4 3 3 4 4 5 6 7 8 9 10 10 10 10 11 11 11 11 9 8 8 9 11 12 13 13 12 11 9 8 7 7 6 5 5 6 8 10 11 12 11 11 10 9 9 8 8 8 8 8 7 6 5 3 2 1 -0 -1 -1 -1 0 2 4 6 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 8 8 7 7 8 9 8 7 7 8 9 9 9 9 9 8 7 8 8 9 10 12 nan
nan 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 6 6 5 4 4 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 9 10 10 9 9 8 8 9 8 6 4 3 3 3 4 4 4 6 7 8 9 10 10 10 10 11 11 11 10 9 8 8 9 11 12 13 12 11 10 9 7 7 7 7 7 8 9 10 11 13 14 14 15 14 12 11 10 10 10 10 9 9 9 8 7 6 5 3 2 1 -0 -0 1 3 6 7 8 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 8 7 6 6 6 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 9 8 7 7 7 7 8 9 10 nan
nan 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 6 5 4 4 5 6 7 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 8 8 7 6 6 4 3 2 2 3 3 3 3 4 5 7 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 10 9 8 7 7 8 9 10 10 11 11 12 13 14 15 14 13 12 12 11 11 11 11 11 10 10 10 10 9 8 7 6 5 4 2 2 3 3 4 5 5 6 6 7 6 6 7 8 9 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 9 9 8 7 7 7 7 8 9 9 10 11 10 10 9 8 7 7 7 7 7 8 8 nan
nan 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 6 5 4 4 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 6 4 3 3 2 3 3 3 3 3 3 4 5 7 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 11 9 9 8 8 9 10 10 11 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 8 6 3 1 -0 1 2 3 5 6 6 6 6 6 7 8 9 8 8 8 9 10 11 12 12 11 9 8 7 8 8 8 7 7 7 8 8 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 nan
nan 9 9 9 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 8 7 6 5 5 5 6 7 7 8 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 5 3 2 2 3 4 5 5 5 4 4 4 5 7 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 8 8 9 10 10 9 9 9 8 7 6 6 7 8 10 10 11 11 11 10 9 10 10 10 11 12 13 14 14 15 14 12 10 7 4 1 0 0 2 4 5 6 6 5 5 6 6 7 8 8 9 10 10 10 9 8 6 6 6 7 7 7 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 7 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 8 5 3 2 2 4 6 8 7 7 6 5 5 5 6 8 9 10 11 10 10 9 9 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 9 10 11 11 10 10 11 11 11 12 13 14 15 17 18 19 19 18 15 13 9 4 1 -1 0 2 4 6 6 5 5 5 5 6 7 7 7 7 6 6 5 5 6 8 9 9 8 8 8 7 7 7 7 8 9 10 11 11 11 11 11 12 11 11 11 10 9 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 7 5 4 3 5 8 10 10 9 8 7 6 5 6 7 8 10 10 9 9 9 10 11 11 10 10 10 11 12 12 12 13 13 12 12 11 9 8 7 6 7 8 8 9 10 10 10 10 9 9 9 10 10 10 10 11 12 12 13 13 14 15 15 17 18 21 22 23 22 22 21 20 18 13 7 3 -0 -1 0 3 5 5 5 5 5 5 5 5 5 6 7 7 7 8 9 11 11 11 10 9 8 7 6 6 7 9 11 12 13 13 13 13 13 12 12 12 12 11 9 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 11 11 10 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 7 5 5 6 9 11 12 12 10 8 7 6 5 6 8 8 8 8 8 9 10 10 10 10 11 12 13 13 13 13 13 14 13 13 11 9 8 6 6 7 8 9 10 11 11 12 11 11 11 11 11 10 9 9 9 10 11 12 13 15 15 16 18 19 20 21 22 22 23 25 26 25 23 18 11 6 1 -2 -1 2 4 6 6 7 6 6 6 7 8 9 9 10 10 11 12 12 13 12 10 8 7 6 6 9 11 12 13 13 13 14 13 13 12 11 11 11 10 10 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 9 9 7 5 4 5 8 11 13 13 11 9 8 6 6 6 8 9 9 9 10 10 11 10 10 11 12 13 13 12 13 13 13 13 13 13 12 10 8 7 6 7 8 9 10 11 11 10 10 11 12 12 11 10 9 8 8 9 9 9 11 12 12 13 14 15 15 15 16 19 23 26 28 29 29 27 23 17 10 5 2 3 5 6 7 8 7 7 8 9 9 9 8 8 8 10 11 12 13 11 9 8 7 7 8 10 10 10 10 12 14 15 14 13 12 12 11 10 10 10 10 nan
nan 9 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 10 10 9 7 5 5 6 9 12 14 14 12 10 8 7 6 7 9 11 12 12 11 11 11 11 11 12 13 13 12 11 11 11 11 11 12 12 11 10 9 8 8 9 9 9 10 10 10 10 10 11 12 11 10 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 14 18 22 25 27 28 29 29 26 21 16 11 9 9 9 9 9 8 8 9 9 8 8 6 6 6 8 9 11 11 10 9 8 8 7 8 9 8 8 9 12 14 14 14 13 12 11 10 10 10 10 10 nan
nan 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 8 9 9 9 10 10 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 10 9 7 6 7 9 12 14 13 12 10 8 7 6 8 11 13 13 12 10 9 9 10 11 12 12 11 11 10 10 9 9 10 11 11 11 10 9 9 10 10 9 9 9 10 9 10 10 11 10 9 9 9 9 9 9 8 8 9 9 9 9 11 11 11 11 11 11 12 13 15 17 19 21 23 25 26 24 21 17 14 13 11 11 10 10 9 9 9 9 9 8 7 8 8 9 10 11 11 10 9 8 8 9 9 9 9 10 11 12 12 11 11 11 10 9 9 9 9 8 nan
nan 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 6 6 7 8 8 9 10 10 10 10 10 10 10 11 10 10 9 9 9 8 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 8 7 6 6 8 10 12 12 12 10 8 7 7 10 12 13 13 10 9 8 8 9 10 11 10 10 10 10 10 9 10 10 11 10 10 10 10 11 11 10 10 10 10 10 10 11 12 12 9 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 12 13 14 15 15 16 16 18 18 17 16 15 14 13 13 12 12 12 11 11 10 10 9 9 9 10 11 12 11 11 9 8 9 10 11 12 11 11 11 11 10 9 9 9 8 8 8 8 8 7 nan
nan 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 6 5 4 3 4 6 8 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 10 9 9 9 9 8 7 6 5 5 5 6 8 10 12 12 11 9 8 9 12 13 13 11 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 12 14 13 10 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 11 12 12 12 10 8 9 12 13 15 16 16 15 15 15 15 14 13 11 10 8 8 7 8 9 9 10 9 8 7 8 9 11 12 13 12 12 11 10 9 8 8 8 9 9 9 9 8 8 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 6 4 3 4 6 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 8 7 6 5 7 9 11 14 14 12 10 9 10 11 12 11 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 14 15 13 11 9 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 10 10 10 11 12 13 13 12 10 8 9 10 12 13 14 14 13 13 13 12 10 8 7 5 4 4 4 5 5 5 3 2 4 6 8 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 7 8 8 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 12 12 11 9 8 9 11 14 16 15 13 11 9 8 9 9 8 8 9 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 12 14 14 12 10 8 7 7 7 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 11 12 13 15 17 17 15 13 11 10 10 10 10 10 9 9 7 6 5 5 4 4 4 4 3 3 2 1 -1 -2 -0 2 4 6 8 9 10 10 10 11 11 12 12 11 11 10 10 10 10 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 9 10 12 13 13 11 11 11 12 15 17 16 13 11 8 7 6 7 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 12 11 9 7 7 7 6 6 6 6 5 6 6 7 8 8 9 9 9 9 9 10 10 11 11 12 13 15 17 16 15 13 11 10 9 9 9 8 8 7 6 5 5 5 6 7 8 8 8 7 4 1 -1 -1 0 2 3 5 7 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 nan
nan 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 10 11 13 14 13 12 12 14 16 16 15 13 9 6 5 6 7 8 9 9 9 8 8 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 11 11 11 11 12 11 9 7 6 6 6 6 5 5 3 4 5 6 7 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 10 9 8 8 8 8 9 9 10 10 11 10 10 10 10 11 12 14 15 14 12 10 6 5 5 6 7 8 8 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 nan
nan 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 10 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 9 11 12 13 14 13 14 15 16 15 14 12 8 4 3 5 7 9 9 8 8 8 8 8 9 9 11 13 13 13 12 10 9 10 10 11 11 11 11 11 11 10 10 11 11 12 12 11 9 8 6 6 6 6 5 4 3 4 5 6 8 8 8 8 8 8 8 9 9 10 10 10 10 10 8 7 6 6 5 5 7 9 10 12 14 15 16 16 16 15 16 17 18 19 20 20 19 16 14 13 12 13 13 12 10 8 7 7 7 7 8 9 10 10 10 10 10 10 10 9 9 nan
nan 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 13 14 15 15 15 15 15 14 12 8 4 2 3 6 8 9 9 9 8 8 8 9 9 11 12 14 14 12 10 10 11 11 12 12 13 13 12 9 7 7 8 9 10 11 11 11 10 8 7 6 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 7 5 5 5 5 6 8 10 12 14 17 18 19 19 19 19 20 21 23 23 23 22 21 20 19 17 15 14 13 12 11 9 7 6 6 7 8 10 10 11 10 10 10 10 10 10 10 nan
nan 10 9 9 9 10 10 10 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 9 9 10 10 11 11 11 11 11 10 10 9 9 9 10 11 13 15 16 16 15 15 15 14 12 9 5 2 2 4 7 9 9 9 9 9 9 9 9 10 12 13 13 12 11 11 11 11 12 14 15 15 13 10 6 5 5 6 7 9 11 12 10 9 7 7 6 4 4 4 5 6 7 8 8 8 8 8 8 8 8 9 9 10 10 9 7 4 4 4 5 6 6 8 9 11 12 14 15 16 17 18 20 22 23 24 23 21 19 17 17 17 16 14 12 12 13 14 13 11 9 8 9 10 11 11 11 10 10 10 10 10 10 10 nan
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nan 13 13 13 13 13 15 16 16 15 14 13 13 14 14 13 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 12 10 9 10 11 13 16 18 21 23 24 23 22 20 20 20 20 21 21 20 18 15 12 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 11 11 12 13 13 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 13 14 15 15 15 14 14 14 13 12 12 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 8 8 nan
nan 10 11 12 12 13 17 19 19 17 14 13 12 13 13 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 12 12 13 13 13 12 12 13 13 14 14 14 14 14 14 14 14 14 13 11 10 10 11 13 15 17 19 20 21 20 20 19 19 19 19 19 18 17 15 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 11 12 12 13 13 13 12 12 12 12 12 11 11 11 10 10 11 10 10 10 10 11 12 12 14 15 16 15 14 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 nan
nan 7 7 8 9 12 16 19 20 19 17 14 13 12 11 10 10 10 11 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 13 14 14 14 14 13 13 12 12 12 12 11 11 10 12 13 14 15 16 17 17 16 16 17 18 19 19 19 18 16 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 nan
nan 4 4 5 6 10 13 15 16 17 16 15 14 12 11 10 9 10 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 13 13 13 13 12 11 11 10 10 9 9 10 10 11 12 13 13 14 14 14 14 14 15 16 19 21 21 20 18 16 15 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 nan
nan 5 3 3 4 8 12 12 12 12 12 12 12 11 10 9 9 9 10 10 10 10 9 9 10 10 10 10 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 10 10 9 9 8 8 8 9 10 11 12 12 12 12 12 12 12 13 14 16 19 21 22 21 18 17 16 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 nan
nan 9 6 4 4 7 11 12 12 12 11 11 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 7 7 9 11 12 13 13 12 11 11 12 12 12 13 15 17 19 20 19 19 19 18 17 16 15 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 nan
nan 11 9 6 6 7 10 12 13 15 15 14 12 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 11 11 11 10 9 8 7 5 4 4 6 9 13 15 16 14 12 11 10 11 11 11 11 12 13 14 15 17 18 19 20 20 20 19 17 16 15 15 14 14 13 13 13 14 14 14 14 14 13 13 13 13 13 13 14 14 14 13 13 13 12 12 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 10 9 9 10 10 10 10 nan
nan 10 9 7 7 7 8 9 12 15 15 14 13 11 9 9 9 9 8 8 8 9 9 8 8 7 6 6 6 7 8 8 9 9 10 10 10 9 9 10 10 11 10 10 9 9 10 10 10 10 10 11 11 11 9 7 4 2 1 2 6 12 16 19 19 17 13 10 10 10 10 10 10 10 11 11 11 12 14 16 17 19 20 20 20 19 18 17 17 16 16 16 15 15 16 16 16 15 15 14 14 14 14 15 15 14 14 14 14 14 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 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 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 nan
nan 9 8 7 6 5 5 7 9 12 13 12 12 11 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 10 10 11 10 10 10 10 11 10 9 6 3 0 -0 1 6 14 18 22 22 18 14 11 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 17 18 18 19 19 18 18 17 17 17 17 17 17 17 17 16 16 16 16 16 16 15 15 15 15 15 14 14 13 12 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 10 10 10 10 nan
nan 10 9 8 6 5 5 7 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 11 11 11 10 9 7 4 1 -0 1 7 12 17 21 22 18 15 12 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 11 12 13 14 16 16 16 16 15 16 16 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 15 14 13 13 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 nan
nan 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 6 3 1 1 5 10 14 19 20 18 15 12 10 10 10 10 10 10 10 11 11 12 12 11 10 9 8 9 9 9 10 11 12 13 13 13 13 13 14 15 16 16 16 16 16 17 17 17 17 18 18 18 17 16 15 15 14 14 14 14 13 13 14 14 14 14 14 14 14 15 15 15 15 14 14 13 13 12 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 7 4 2 2 5 9 14 17 18 16 14 12 10 10 10 10 10 10 10 10 11 12 12 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 14 15 15 16 17 17 18 18 18 18 17 17 17 17 17 17 16 16 16 16 15 15 15 14 14 14 15 15 15 14 14 13 12 11 10 10 9 9 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 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 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 9 7 5 6 7 10 13 15 14 13 12 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 14 15 16 17 18 18 19 19 19 19 19 19 19 18 18 17 17 17 16 15 15 15 14 14 14 14 14 13 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 16 17 18 18 18 18 19 19 19 19 19 19 19 18 18 17 16 15 15 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 12 13 14 14 14 14 13 13 12 12 12 12 12 12 13 13 13 13 12 12 11 11 10 11 11 11 12 12 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 15 15 16 16 17 18 19 20 20 20 20 20 19 18 17 16 15 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 12 12 11 11 11 12 12 13 13 14 15 15 15 14 13 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 9 10 12 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 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 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 13 14 16 18 19 20 20 21 21 20 19 19 18 16 15 15 15 15 15 15 15 14 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 13 14 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 11 12 13 15 17 18 20 20 21 21 21 20 19 19 18 17 16 16 16 16 16 15 14 13 13 12 12 12 12 11 11 12 12 12 12 13 13 14 14 15 15 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 nan
nan 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 11 11 10 10 10 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 11 12 14 16 17 19 21 22 22 22 21 20 19 18 17 17 17 17 17 16 16 15 13 13 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 11 12 13 15 18 20 21 22 22 20 18 17 16 17 18 18 19 19 19 18 17 15 15 14 13 13 13 13 13 13 14 13 13 13 13 13 14 13 13 13 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 10 10 10 11 11 11 nan
nan 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 11 13 15 16 17 17 16 14 13 13 15 16 18 20 21 22 22 21 19 18 16 15 15 14 14 14 15 15 15 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 10 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 10 11 11 10 10 10 9 9 10 10 11 11 11 10 8 8 9 11 13 14 16 18 20 22 22 22 21 20 19 17 17 17 17 17 17 17 16 16 15 14 14 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 7 5 4 4 6 9 11 13 13 14 15 17 19 20 20 19 18 18 19 20 21 20 20 19 17 16 15 14 14 13 13 13 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 13 13 12 11 10 10 11 11 11 nan
nan 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 9 8 7 5 4 3 4 6 9 10 12 11 10 11 12 14 16 16 15 14 16 19 22 23 23 22 20 18 17 16 15 14 14 14 13 14 14 14 14 14 13 12 12 12 12 12 12 13 13 13 14 14 13 12 11 10 10 10 10 nan
nan 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 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 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 8 7 6 4 4 5 7 9 11 12 11 11 10 10 10 12 12 12 13 15 18 22 23 23 22 20 19 17 17 16 15 14 13 13 13 14 14 15 15 14 13 13 13 12 12 12 12 13 13 14 14 14 13 12 10 10 10 10 nan
nan 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 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 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 7 5 4 4 4 6 9 11 12 12 12 11 9 8 9 10 11 13 15 17 18 19 20 20 19 18 19 19 17 16 14 13 13 14 15 15 15 15 15 14 14 13 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 nan
nan 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 4 3 3 4 6 8 9 10 10 12 11 8 7 7 10 12 14 15 15 15 15 16 17 17 19 20 19 17 15 15 16 17 17 17 16 16 16 15 15 14 13 13 13 13 12 12 11 11 11 12 12 12 12 12 11 11 nan
nan 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 9 9 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 8 7 4 3 2 3 5 7 7 7 7 7 9 9 7 6 8 11 14 15 14 13 12 12 13 14 15 17 18 16 15 16 18 19 21 21 19 18 17 17 16 15 15 14 14 14 14 13 12 11 11 11 11 12 12 12 12 11 10 nan
nan 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 9 7 5 2 2 2 3 6 7 7 6 5 6 6 6 5 4 6 11 13 15 14 12 12 12 12 13 13 13 13 14 15 18 21 22 23 21 20 19 18 18 18 17 16 15 16 16 16 15 14 12 10 10 11 12 12 13 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 9 9 8 8 9 10 11 11 11 10 10 10 10 9 8 5 2 1 1 2 4 6 6 6 5 5 5 6 4 3 2 4 8 11 13 14 13 13 13 13 12 11 11 11 13 16 20 22 23 22 21 20 19 19 19 18 18 17 16 16 17 18 17 15 12 10 9 10 11 12 13 13 13 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 8 8 8 8 9 9 9 10 10 11 11 11 12 11 11 10 9 7 5 3 1 1 1 3 6 6 6 6 5 5 5 6 5 3 2 3 5 8 12 15 16 15 14 13 12 11 11 11 13 16 18 19 20 20 19 19 19 19 19 18 17 17 16 17 18 19 19 17 13 10 8 9 10 12 13 13 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1 3 5 6 6 6 5 6 5 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 2 2 2 2 2 2 2 1 1 0 0 0 1 2 3 3 1 1 0 2 4 6 6 7 5 7 10 11 10 10 11 12 12 11 12 10 8 6 3 1 3 10 18 23 25 24 30 37 50 82 134 179 204 211 206 208 237 273 287 281 277 303 361 401 434 466 487 474 456 362 265 185 132 111 118 132 135 131 132 137 148 150 149 146 142 161 185 171 142 134 146 129 95 69 64 68 70 77 83 90 99 99 86 71 62 60 61 54 25 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 0 0 0 0 0 0 0 0 0 0 0 2 15 72 195 338 448 450
0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 3 3 2 2 3 2 2 1 1 0 0 0 1 2 3 1 0 0 1 3 4 5 4 2 3 8 11 11 10 11 11 11 12 13 13 12 10 7 5 9 16 25 33 39 36 44 64 80 88 108 134 149 166 184 203 215 203 167 140 141 167 190 223 291 409 503 448 420 352 273 201 147 124 131 151 167 173 171 166 178 171 155 143 146 171 192 183 157 147 153 143 99 63 57 53 61 80 95 102 110 110 101 90 81 76 71 59 38 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 70 200 361 503 521
0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 3 2 2 0 0 0 1 2 4 2 1 0 0 1 1 3 3 2 3 8 11 12 11 9 9 9 12 15 15 15 14 14 14 19 25 33 43 54 53 92 119 119 97 76 80 86 96 113 127 132 141 127 110 110 125 126 145 289 476 525 404 349 303 256 205 154 135 148 185 229 260 252 237 238 233 216 194 190 193 187 169 146 138 144 146 122 86 63 51 55 66 78 94 101 104 101 98 95 91 82 70 55 31 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 55 186 388 558 578
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 2 1 0 1 2 3 4 4 3 1 0 0 0 0 2 3 5 6 8 10 10 10 10 9 9 12 15 17 19 21 23 26 31 38 45 52 59 62 100 140 156 132 74 72 77 85 96 92 80 96 102 95 97 124 134 106 200 381 364 301 287 274 244 202 155 135 148 190 249 306 331 327 314 296 267 237 217 196 177 161 143 126 131 126 106 82 67 54 52 50 49 56 65 78 84 88 96 98 89 77 64 47 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 25 100 346 522 582
0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 1 1 1 0 0 0 1 2 4 4 3 2 0 0 0 1 4 7 10 11 11 9 8 7 8 9 10 12 15 18 22 26 31 37 43 49 53 53 52 56 77 103 110 65 49 55 68 81 90 88 80 89 97 96 100 113 128 112 109 149 135 172 232 259 236 200 166 161 257 465 694 587 480 408 361 321 278 234 202 186 183 179 155 127 127 123 106 86 68 54 49 46 42 39 41 47 55 65 81 88 83 73 63 51 28 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 3 8 217 409 528
0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 0 3 6 11 14 14 10 6 4 3 3 5 8 10 13 18 23 28 35 42 49 54 56 59 58 61 71 81 80 50 40 43 53 63 69 75 78 84 92 104 127 138 139 136 135 129 127 144 194 235 228 213 193 189 378 720 825 667 532 436 369 316 271 224 206 210 218 216 187 162 146 131 113 94 70 57 52 51 48 43 39 37 39 44 54 65 65 59 53 43 30 15 5 1 0 0 0 0 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 6 107 262 426
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 4 8 12 15 15 10 6 3 1 1 2 7 7 10 16 23 29 36 44 49 52 56 59 58 57 61 65 58 45 39 38 39 42 47 61 70 77 90 120 196 200 192 195 205 198 216 212 219 244 242 234 237 193 277 599 638 573 501 440 392 347 309 280 268 264 258 243 215 188 163 141 117 103 81 65 56 53 52 49 46 42 36 33 36 47 52 51 51 47 37 23 10 2 1 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 0 0 31 115 285
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 10 12 14 12 8 5 3 2 1 3 4 9 17 25 33 37 43 47 48 48 46 41 40 43 46 39 34 37 38 38 39 42 51 60 73 89 102 128 153 190 231 254 252 310 326 323 326 308 315 353 353 340 425 473 463 438 417 402 375 339 311 296 290 270 246 216 187 165 148 127 116 101 86 72 58 55 55 55 51 46 41 40 45 51 56 59 48 39 29 16 6 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 3 18 163
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