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 9 9 9 9 8 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 11 11 11 11 10 9 8 8 7 8 8 8 9 10 10 10 10 9 9 8 9 9 9 9 10 10 11 12 13 13 13 12 11 10 9 8 8 7 7 8 9 9 10 12 14 15 14 12 11 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 11 9 8 7 6 7 9 10 9 8 7 7 6 6 5 4 5 6 7 8 7 6 7 8 8 8 7 6 5 6 6 7 8 9 8 8 8 8 8 9 10 10 11 11 11 10 8 5 2 nan
nan 12 11 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 11 11 11 10 9 8 8 7 7 8 9 10 10 10 10 9 8 8 7 7 7 8 8 8 9 10 11 12 14 14 13 12 11 10 10 9 8 7 7 8 8 9 10 13 15 15 14 12 10 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 12 12 11 10 8 8 9 11 11 10 9 8 7 7 7 6 5 4 4 5 7 7 6 6 7 7 7 6 5 4 3 3 4 6 7 8 9 8 7 6 7 8 9 10 10 10 10 9 7 4 nan
nan 14 13 12 11 10 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 8 7 7 7 9 10 10 10 10 9 8 7 6 6 6 7 7 7 8 9 10 11 13 14 14 14 13 12 11 10 9 8 8 8 8 8 8 10 12 14 14 12 10 9 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 10 11 12 11 10 9 11 12 12 11 10 9 9 8 7 6 5 4 3 3 4 5 5 5 5 5 6 5 4 2 2 2 3 4 6 7 9 9 8 7 7 8 9 10 10 10 10 9 8 6 nan
nan 16 15 15 13 12 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 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 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 10 10 10 9 8 8 7 7 9 10 10 10 10 9 7 6 6 5 5 6 6 6 7 7 9 10 12 13 13 13 13 13 12 11 10 9 8 8 8 8 8 8 10 12 13 12 11 9 8 8 9 9 9 9 9 9 9 10 10 11 12 13 14 13 11 10 10 11 12 11 11 10 11 11 11 11 11 10 9 8 8 7 5 4 3 3 3 4 4 4 4 4 4 3 2 1 2 3 5 6 8 9 9 9 9 9 9 9 10 10 11 12 11 10 8 nan
nan 15 16 16 15 14 13 12 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 7 8 8 9 9 10 10 9 8 8 8 8 9 10 10 10 9 7 6 5 5 5 5 5 5 6 7 8 9 10 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 9 11 12 12 11 10 9 8 9 9 8 8 8 8 9 10 10 10 11 12 13 13 11 10 9 10 11 11 11 10 9 9 10 11 11 11 10 10 10 9 8 7 6 5 5 5 4 4 4 4 3 2 2 3 4 5 7 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 nan
nan 15 16 16 16 16 15 15 14 14 13 13 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 9 10 10 10 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 8 9 10 10 10 9 8 8 9 9 10 10 10 8 7 6 5 5 5 5 5 5 6 7 8 8 9 9 10 11 11 12 12 12 12 11 10 9 8 8 8 8 9 11 12 12 11 10 9 9 9 9 8 8 8 8 9 10 9 9 8 8 8 9 9 9 7 7 8 10 10 10 10 9 9 10 11 11 11 11 11 10 10 9 8 8 7 7 6 5 5 5 5 4 5 6 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 14 15 15 16 16 16 16 16 16 16 15 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 7 7 7 9 10 10 10 10 9 9 9 9 10 10 9 8 7 6 5 5 5 5 5 6 6 7 7 7 8 8 8 9 10 11 11 12 12 12 11 10 9 8 7 8 9 10 11 12 11 10 10 10 10 10 9 9 8 8 9 10 9 7 5 4 3 5 7 7 6 4 5 7 9 10 10 9 9 10 11 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 nan
nan 13 14 14 15 15 15 15 15 16 16 17 17 16 15 14 13 11 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 9 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 7 7 8 9 10 11 11 10 9 9 9 9 10 9 8 7 6 6 5 6 6 6 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 12 11 10 8 8 8 8 9 11 11 11 11 10 10 11 11 10 9 9 9 9 10 9 8 5 3 3 4 6 6 5 4 4 5 6 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 nan
nan 12 12 13 13 13 13 13 14 14 15 16 16 17 17 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 10 11 11 10 10 9 9 9 10 9 8 7 6 6 6 6 6 7 7 8 7 7 6 6 6 6 7 8 9 11 12 13 14 14 13 11 10 8 8 8 9 10 11 12 12 11 11 11 11 11 10 9 9 9 10 9 8 7 6 6 6 6 5 4 4 5 5 6 7 8 8 8 8 7 7 8 9 10 10 10 11 11 11 12 12 13 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 nan
nan 11 11 11 11 11 11 11 11 12 12 13 14 15 16 17 17 16 14 13 12 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 9 8 7 7 6 6 6 7 7 8 8 7 7 6 6 6 6 6 7 8 10 11 13 14 14 14 13 11 9 8 8 8 9 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 6 6 8 9 10 10 10 10 10 11 12 13 13 14 14 14 13 11 11 10 10 10 10 10 9 8 8 8 8 8 9 8 8 8 7 7 7 8 9 nan
nan 11 11 11 11 11 10 10 10 10 11 11 12 12 14 15 17 17 16 15 14 13 12 12 11 11 10 10 10 10 10 10 9 8 8 8 9 10 9 9 8 8 8 7 7 7 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 9 10 12 13 14 14 13 12 11 9 8 8 8 9 11 11 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 9 8 8 8 9 10 11 11 10 10 9 10 10 11 11 12 12 13 13 13 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 16 16 15 15 14 13 13 12 12 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 10 10 10 9 9 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 10 11 12 14 14 14 13 11 10 9 8 8 8 9 9 9 10 11 11 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 11 10 9 10 10 11 11 11 11 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 8 8 8 8 8 8 7 nan
nan 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 15 15 15 14 13 13 12 12 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 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 10 9 8 8 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 8 8 9 10 12 13 14 14 14 13 11 10 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 8 8 8 9 10 10 10 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 7 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 12 13 14 14 15 15 15 14 14 13 13 13 12 11 11 11 10 10 9 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 8 8 9 9 10 11 13 14 14 14 14 12 11 10 9 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 15 15 15 14 14 13 13 12 11 11 11 10 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 5 6 6 7 7 7 7 7 8 8 8 9 9 10 11 12 13 14 14 14 13 12 11 10 9 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 6 6 6 7 7 8 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 7 8 8 9 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 nan
nan 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 14 15 16 16 16 15 15 14 13 13 12 12 11 11 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 11 12 13 14 14 13 12 11 10 8 8 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 9 9 8 7 7 6 6 6 7 7 8 9 9 nan
nan 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 15 16 17 17 16 15 15 14 13 13 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 12 13 13 13 13 11 10 8 7 7 6 6 6 7 8 9 10 10 10 10 10 10 9 8 7 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 7 7 7 7 8 8 9 8 8 7 6 7 7 7 8 9 9 9 nan
nan 8 7 7 8 8 9 10 10 10 10 10 10 10 10 11 10 10 10 11 11 12 13 14 15 16 17 16 16 15 15 14 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 11 13 14 15 14 12 10 8 6 6 6 6 6 7 9 11 12 12 11 10 9 9 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 7 7 7 8 9 10 10 10 10 nan
nan 7 7 7 7 8 9 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 13 14 14 15 16 16 16 16 15 14 14 13 12 12 11 10 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 11 10 8 8 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 10 12 15 16 16 15 13 10 8 7 7 5 4 4 6 9 11 12 12 11 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 8 8 8 8 8 7 7 8 8 8 9 8 8 8 8 8 8 9 10 11 12 12 11 nan
nan 7 7 7 7 8 9 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 13 14 15 16 16 16 16 15 15 14 13 12 11 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 11 12 12 12 10 9 8 7 7 7 8 10 10 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 7 7 7 8 8 9 8 7 6 7 7 9 10 12 13 14 15 16 15 13 11 10 8 6 5 4 5 7 10 11 12 11 9 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 11 12 12 13 12 nan
nan 7 7 7 7 7 8 10 10 11 11 11 12 12 11 11 11 11 10 10 10 11 12 12 12 12 12 14 15 16 17 17 16 16 15 14 13 12 11 10 9 9 10 10 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 11 12 12 12 11 10 8 7 6 6 8 9 10 11 11 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 9 11 12 12 12 12 13 14 15 16 15 13 11 10 8 7 7 7 8 10 11 12 11 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 11 nan
nan 7 7 7 7 7 8 9 10 10 10 11 11 11 11 11 12 12 11 10 9 10 11 12 12 12 12 13 14 15 16 17 17 17 16 15 14 13 11 10 10 9 9 10 11 11 10 10 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 9 9 10 12 13 13 12 11 10 10 8 7 7 7 8 9 10 11 11 10 10 10 11 11 10 10 9 8 7 7 6 7 7 7 7 6 7 7 8 8 8 9 10 11 12 12 12 12 12 13 14 15 15 14 12 11 10 10 10 10 11 11 12 12 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 10 nan
nan 8 7 7 7 7 8 8 9 10 10 10 10 10 11 11 11 11 11 10 9 10 11 12 12 13 13 13 13 14 15 17 18 18 17 16 15 14 12 11 10 9 9 10 11 11 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 10 12 13 12 12 11 11 10 10 9 8 7 7 8 10 11 11 10 10 11 11 11 11 10 10 9 8 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 11 11 12 12 13 13 13 12 12 12 12 12 12 13 12 12 12 12 12 11 10 9 9 9 8 8 7 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 nan
nan 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 14 15 16 18 18 17 17 15 14 13 12 10 9 9 9 11 11 11 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 10 12 13 12 11 11 10 10 10 10 9 7 6 7 9 10 11 11 11 11 11 11 11 11 10 10 8 8 7 7 7 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 9 10 11 12 13 13 12 13 13 14 14 14 13 13 13 13 13 12 12 10 10 10 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 7 7 nan
nan 8 8 8 7 7 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 11 12 12 13 14 14 16 17 17 17 17 16 15 14 13 11 10 9 9 10 11 10 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 10 11 12 11 11 10 10 11 11 11 10 8 6 6 7 9 10 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 6 6 7 8 9 9 9 8 8 7 7 8 8 9 10 11 12 12 12 13 13 14 15 15 14 14 13 13 13 12 12 11 12 12 12 12 12 11 11 11 10 8 8 8 9 9 8 8 8 8 9 9 8 9 9 9 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 7 6 nan
nan 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 14 14 15 16 17 17 17 16 15 14 13 11 10 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 9 10 10 11 11 12 10 8 6 5 6 8 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 6 6 6 7 8 9 9 8 7 7 7 8 9 9 10 10 11 12 12 11 11 12 13 13 13 12 12 11 11 11 10 10 11 12 13 13 12 12 13 13 11 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 7 6 nan
nan 9 9 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 14 15 16 17 17 17 16 15 14 13 11 10 10 11 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 11 11 11 10 9 10 10 11 11 12 11 9 7 5 5 7 9 10 10 10 10 11 11 11 11 10 10 10 9 8 8 8 7 7 7 6 6 7 7 8 9 8 7 6 7 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 9 10 11 12 12 12 13 13 12 11 10 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 8 6 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 11 11 11 12 12 11 11 11 11 11 12 13 14 15 16 17 17 17 17 16 15 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 12 13 12 11 10 10 10 11 12 12 11 10 8 6 5 6 8 9 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 7 6 6 6 7 7 8 7 6 6 7 8 8 9 10 10 10 10 10 9 7 6 5 5 5 4 4 4 5 5 5 6 7 8 10 11 12 12 13 13 12 11 11 11 10 9 9 8 7 7 7 7 8 9 8 7 7 8 9 9 9 9 10 11 11 10 9 8 7 7 7 8 9 10 11 10 10 10 10 9 9 9 8 6 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 12 13 14 15 16 16 17 17 18 16 14 12 11 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 13 14 13 12 10 10 10 11 12 12 12 11 10 8 7 8 9 10 11 11 10 10 10 10 10 10 11 10 10 10 9 9 9 8 8 7 7 6 6 7 7 7 6 6 6 7 8 9 10 10 11 10 10 8 7 6 5 5 5 5 5 6 6 7 7 7 7 8 9 10 11 12 13 13 12 12 12 12 13 12 11 10 8 8 8 8 9 8 8 7 6 7 7 7 7 7 8 9 9 8 7 7 6 6 7 8 9 10 10 10 10 10 10 9 9 9 8 7 7 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 14 15 16 17 17 18 18 18 16 14 12 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 13 14 15 14 12 11 11 11 12 12 13 13 13 11 9 9 10 11 12 12 12 11 11 10 10 10 10 11 11 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 7 7 8 9 10 11 11 10 9 8 7 6 6 7 7 8 9 9 10 10 9 8 8 9 10 11 12 12 13 13 12 12 12 12 13 13 12 11 10 9 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 6 6 6 7 7 7 9 10 10 11 11 10 10 9 9 8 9 9 10 nan
nan 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 16 17 17 17 17 17 17 16 15 13 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 14 15 15 14 12 12 12 12 13 13 14 14 12 10 8 9 10 11 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 9 9 9 8 8 8 7 7 7 8 7 7 7 7 8 10 10 11 10 10 10 9 8 7 8 8 9 9 10 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 11 11 12 13 13 12 11 10 9 9 9 9 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 9 10 10 11 12 12 12 12 11 10 9 9 10 11 12 nan
nan 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 10 10 11 11 11 10 10 9 9 9 10 11 11 12 13 14 15 16 16 17 17 17 17 17 16 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 12 13 14 15 14 12 12 12 13 14 15 15 14 12 8 6 7 9 11 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 8 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 9 9 8 7 8 9 9 10 10 10 10 10 10 10 11 10 10 11 11 12 11 11 10 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 11 13 13 13 13 13 13 12 11 10 10 10 11 12 13 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 9 9 10 10 11 12 13 14 15 15 16 17 17 18 17 16 16 15 15 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 12 12 13 14 15 16 16 14 10 6 5 6 9 12 13 13 12 11 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 9 11 12 11 11 11 11 11 11 11 10 10 10 9 9 9 8 7 6 5 6 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 13 13 13 13 13 12 11 10 10 9 10 10 11 11 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 11 12 13 13 14 15 16 17 17 17 17 16 16 16 16 16 15 15 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 13 14 14 15 16 16 15 12 8 4 3 6 9 12 13 13 12 12 11 11 10 10 11 11 12 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 10 9 8 8 7 6 5 4 5 6 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 7 7 8 8 8 8 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 16 16 16 16 16 16 17 17 17 16 15 15 15 14 14 14 13 13 13 12 12 11 11 12 13 15 16 17 17 18 17 15 11 5 2 4 7 10 11 11 12 13 13 12 12 11 11 12 12 13 13 14 14 14 14 14 14 13 13 12 12 11 11 11 10 10 9 9 10 11 12 13 14 13 12 12 12 12 12 11 11 9 8 7 6 5 4 4 5 6 8 9 10 11 11 12 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 10 10 10 9 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 9 nan
nan 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 12 13 14 15 15 16 16 16 16 16 16 16 17 17 16 16 16 16 15 15 15 14 14 12 10 9 9 11 14 17 18 20 21 21 19 15 10 4 3 6 8 10 10 10 11 13 13 13 13 13 13 13 13 14 14 14 15 15 15 14 14 14 13 13 13 12 12 12 11 10 10 10 10 12 14 15 14 13 12 11 12 12 12 12 11 9 8 7 6 5 5 5 6 7 9 9 10 11 12 12 13 12 11 10 10 10 10 10 11 11 11 11 11 12 13 14 15 15 16 16 15 15 14 13 12 11 11 9 7 6 5 5 5 5 6 7 9 9 9 9 9 9 9 8 8 nan
nan 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 15 14 12 10 8 9 11 15 19 21 23 25 24 21 16 9 4 4 7 8 9 9 10 11 13 13 13 13 13 13 14 14 14 14 14 15 15 15 14 14 13 13 13 13 13 13 13 12 11 10 10 11 13 14 15 14 13 12 10 10 11 12 12 11 9 8 7 7 6 6 6 8 9 9 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 11 11 12 14 14 15 16 16 17 18 18 18 17 16 14 11 7 4 3 3 3 5 5 7 8 9 10 10 10 10 11 10 9 9 nan
nan 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 13 13 14 15 15 16 16 16 16 15 15 14 13 11 9 9 10 13 17 21 24 26 27 26 22 16 9 5 6 7 8 8 9 11 12 13 13 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14 13 12 11 11 11 13 15 16 15 14 12 9 8 9 10 11 11 10 9 8 7 7 7 7 8 8 9 10 10 10 11 11 12 12 12 12 11 10 10 9 8 8 8 9 10 10 11 12 12 13 14 15 16 17 18 19 19 17 12 7 3 1 1 2 4 6 7 9 10 10 10 10 10 11 11 10 9 nan
nan 6 6 7 7 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 9 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 13 13 14 14 14 14 14 14 13 12 11 10 10 11 13 17 21 24 25 26 24 21 15 10 7 7 7 8 9 11 12 13 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 14 13 12 11 11 13 14 16 17 17 15 12 9 8 8 9 10 11 11 10 9 8 8 7 7 6 7 8 9 10 10 11 11 12 13 13 13 13 12 10 9 7 7 8 8 8 8 8 9 9 11 12 13 13 14 16 17 19 18 14 9 6 3 2 3 4 6 7 8 8 8 8 8 9 10 10 10 10 nan
nan 6 6 6 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 8 7 8 9 9 10 10 9 9 9 9 10 10 11 11 12 12 11 11 11 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 13 12 12 12 11 11 11 10 10 12 15 18 20 21 21 20 17 14 12 10 10 9 9 11 12 12 12 12 11 10 10 10 10 9 9 8 8 8 9 9 10 10 11 12 13 13 14 14 14 14 14 13 13 14 15 17 19 19 18 15 12 10 9 9 10 10 11 11 11 10 9 9 8 7 6 6 7 9 10 10 10 11 11 12 12 12 12 11 10 8 8 8 9 8 8 8 8 8 8 9 10 11 11 12 13 15 17 17 16 13 10 8 6 5 5 6 7 7 6 6 6 6 7 8 9 9 9 nan
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nan 8 8 7 7 7 7 7 7 7 8 9 10 10 11 11 12 13 13 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 11 12 13 13 13 14 15 16 17 17 16 15 14 14 15 17 18 17 15 12 8 6 6 6 7 8 9 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 12 12 13 12 13 13 12 12 10 9 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 12 12 11 11 nan
nan 13 12 10 9 6 4 3 2 2 4 6 8 9 10 11 11 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 13 13 13 12 11 10 9 8 8 9 10 11 11 10 9 9 9 9 8 9 9 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 10 11 12 13 13 12 12 12 13 13 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 9 8 8 8 9 9 10 10 10 9 10 10 10 10 10 10 10 nan
nan 17 17 16 15 12 8 5 3 3 3 5 7 8 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 11 10 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 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 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 12 11 11 11 12 12 12 11 11 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 nan
nan 17 19 20 21 19 16 13 12 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 nan
nan 14 17 20 21 21 20 18 17 16 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 10 10 10 10 10 9 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 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 13 13 13 12 12 11 10 10 11 11 11 10 9 8 8 9 9 9 10 10 nan
nan 12 13 16 18 19 18 16 14 13 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 9 8 7 7 8 10 10 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 12 12 12 11 10 9 9 9 9 9 9 nan
nan 11 12 13 14 14 14 13 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 13 12 10 9 7 6 5 6 8 10 10 11 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 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 12 12 13 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 10 10 nan
nan 11 11 12 13 13 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 16 14 11 8 5 2 2 4 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 nan
nan 11 11 12 12 14 16 16 16 15 14 13 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 16 18 18 17 14 10 5 1 0 2 5 8 9 10 10 11 10 10 10 10 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 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 12 13 14 14 14 14 13 12 12 11 11 11 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 16 19 20 20 17 14 9 3 2 3 6 8 9 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 nan
nan 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 13 16 19 22 22 21 18 13 7 6 6 7 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 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 11 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 11 11 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 15 18 20 22 22 20 15 11 9 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 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 12 13 15 17 18 19 18 15 13 12 11 11 11 11 11 11 11 12 12 12 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 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 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 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 11 12 12 12 13 14 15 15 14 14 13 13 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 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 11 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 nan
nan 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 10 10 10 10 10 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 12 12 12 11 11 11 11 11 11 11 11 10 10 9 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 13 12 11 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 13 13 13 13 13 13 13 13 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 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 12 12 11 10 9 9 9 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 11 11 11 10 10 11 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 12 12 13 13 13 13 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 9 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 12 13 13 11 9 7 7 9 10 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 10 11 11 12 13 13 12 12 12 12 11 10 10 10 nan
nan 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 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 11 10 9 8 7 7 8 8 9 8 7 7 7 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 15 15 13 10 7 6 7 8 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 12 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 12 12 12 12 11 10 8 7 8 8 9 9 8 7 6 7 8 10 11 12 12 11 11 11 11 11 11 11 11 12 12 11 9 8 9 10 11 13 14 15 16 15 13 10 8 7 6 8 10 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 10 10 10 10 11 11 nan
nan 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 14 13 11 9 8 7 8 8 8 6 5 5 7 9 11 12 12 12 12 12 11 11 11 11 12 12 12 11 9 8 9 9 11 12 12 13 14 16 16 15 12 9 7 7 8 9 10 10 11 11 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 9 8 8 10 11 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 14 16 16 17 16 13 11 8 7 7 7 5 3 3 5 8 10 11 12 12 12 12 12 11 11 11 12 13 13 11 9 8 8 9 10 10 10 10 11 13 15 17 16 13 9 8 7 8 9 9 10 10 10 11 12 12 12 13 12 12 11 11 11 11 10 10 10 10 11 11 11 12 14 15 15 14 12 10 9 10 11 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 12 13 14 16 18 19 18 15 12 10 9 8 5 2 2 3 5 7 10 11 11 11 11 11 11 11 13 14 15 14 12 9 8 9 9 9 8 8 8 8 10 13 16 17 16 12 10 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 13 15 16 16 15 13 12 12 12 nan
nan 11 11 11 11 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 12 13 15 18 20 21 19 17 15 14 12 8 4 2 1 2 4 6 8 9 9 9 9 9 10 12 15 17 17 15 12 10 8 7 7 6 6 7 8 9 12 14 15 15 13 12 11 10 11 10 10 9 10 11 11 10 9 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 12 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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 12 12 12 12 12 12 12 11 11 11 11 11 12 12 14 16 19 20 20 19 19 18 17 13 9 5 3 2 3 4 5 6 6 6 6 6 6 10 14 17 19 18 15 12 8 6 4 3 5 6 8 10 11 12 12 12 12 12 13 13 13 12 11 11 11 12 12 10 9 7 8 9 10 11 11 10 10 9 10 11 11 11 9 8 9 10 11 12 12 12 12 12 12 nan
nan 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 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 12 12 12 13 14 14 14 13 13 12 12 12 12 13 15 16 17 17 17 17 18 18 16 14 11 7 6 5 5 6 6 6 6 6 6 6 9 12 16 18 17 15 13 10 7 3 1 3 5 8 9 9 8 8 9 11 12 13 13 13 13 12 13 13 13 12 11 9 9 9 10 12 12 12 10 9 9 10 12 13 12 11 9 7 8 10 11 11 11 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 13 14 15 15 14 13 13 12 12 12 12 12 13 13 13 13 14 15 16 16 16 15 12 10 8 8 8 8 8 8 8 8 9 10 12 15 16 15 14 13 11 9 4 2 3 5 6 6 5 4 5 7 9 10 11 12 12 13 13 14 14 14 12 11 9 9 11 12 13 14 13 11 10 10 11 13 15 14 12 9 7 7 9 11 12 12 12 11 10 nan
nan 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 14 14 14 13 13 12 11 10 9 9 9 10 11 12 13 12 13 13 15 16 15 14 12 10 10 10 11 11 11 11 11 12 13 14 14 13 13 13 12 10 7 5 4 5 4 3 2 1 2 4 5 7 9 11 12 12 13 14 14 13 12 11 10 10 11 12 13 13 13 12 11 11 12 14 15 16 13 10 7 6 8 11 13 14 14 14 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 12 12 12 13 13 13 12 12 12 10 8 7 6 8 10 12 13 13 13 14 15 17 18 17 16 14 13 13 13 12 13 13 14 14 14 13 13 13 12 12 12 11 9 7 7 6 4 3 1 0 1 1 2 5 8 10 12 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 13 14 15 16 15 11 7 6 7 10 13 15 15 16 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
48 54 58 62 64 63 64 75 92 108 118 121 114 105 90 73 60 45 34 27 22 17 11 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 0 0 0 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 7 12 18 23 25 30 41 65 91 106 121 134 143 155 171 184 195 199 191 165 120 61 46 40 39 39 38 27 25 23 20 19 17 13 14 21 27 26 18 7 2 1 2 2 2 1 0 0 0 0 0 0 1 2 3 2 2 2 2 2 2 4 6 7 9 13 19 22 25 26 24 20 18 14 13 13 12 10 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 6 5
50 55 59 61 61 61 62 68 82 100 119 133 138 131 112 90 74 63 52 38 29 23 17 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 17 13 10 20 41 65 88 116 134 150 164 175 182 187 195 196 184 159 105 65 42 32 33 39 29 24 20 19 19 16 13 15 17 15 9 3 1 1 1 2 2 1 0 0 1 0 0 0 0 0 1 2 2 2 1 2 2 2 3 5 6 9 14 21 22 22 21 23 26 22 18 15 14 13 12 9 6 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 5
50 56 61 63 62 61 62 66 75 90 107 121 131 127 113 95 81 71 62 47 36 30 25 21 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 3 0 2 9 25 58 101 120 131 140 143 140 139 146 155 161 168 139 92 42 16 29 38 35 29 22 16 18 15 12 12 14 17 14 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 5 13 19 21 20 18 21 22 21 19 17 16 13 12 11 8 4 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5
40 52 59 61 62 63 65 68 73 83 95 106 111 106 98 90 82 73 66 53 43 39 35 31 25 19 14 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 10 34 71 89 93 96 97 95 94 97 107 123 145 153 129 81 41 52 53 43 34 26 15 16 15 12 11 12 17 15 11 7 4 0 1 1 1 1 1 1 1 1 1 1 1 1 3 3 2 2 2 2 1 2 2 2 2 6 11 16 20 18 18 19 20 21 20 16 14 12 12 11 9 7 7 6 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3
19 29 40 50 57 62 64 68 72 78 85 91 93 91 89 86 83 75 64 55 49 46 44 41 36 30 25 21 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 32 45 49 49 54 55 57 60 67 83 114 150 165 160 147 130 90 54 33 25 17 15 13 10 6 5 14 15 15 13 8 0 0 0 0 0 0 1 1 1 1 1 1 1 6 7 5 3 2 1 2 4 6 7 5 4 5 10 19 19 15 14 14 16 17 13 11 10 10 10 9 10 10 10 10 8 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3
7 9 17 29 42 54 62 68 72 75 78 81 82 82 82 81 80 73 65 59 56 54 52 50 47 42 38 34 31 22 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 26 28 17 17 22 26 28 31 47 82 121 157 182 193 177 132 78 37 23 18 13 6 1 2 9 16 16 15 13 11 3 1 0 0 0 1 1 2 1 1 1 0 0 6 10 10 6 4 2 3 6 11 15 15 11 9 9 15 17 13 9 9 9 10 8 6 6 6 6 6 6 8 11 12 11 10 8 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3
0 1 4 9 19 33 49 58 62 64 66 69 73 74 74 74 73 69 66 64 63 62 60 58 55 52 48 45 41 35 23 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 21 19 5 2 3 4 4 6 22 48 82 119 154 183 204 183 130 68 34 23 17 9 3 6 14 15 13 12 13 13 7 2 0 0 0 0 1 1 1 1 0 0 0 4 10 15 12 7 4 4 5 9 17 19 18 19 18 13 10 8 8 6 4 5 6 7 6 5 3 2 3 4 5 6 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2
0 0 0 1 5 12 20 27 33 38 43 49 57 61 63 64 65 67 68 69 69 69 68 65 62 59 56 54 49 44 37 25 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 16 14 6 1 0 0 0 0 5 17 37 65 100 146 194 204 175 120 66 32 17 11 10 13 15 14 13 13 12 13 7 2 0 0 0 0 0 0 0 1 0 0 0 2 8 21 20 15 10 7 6 9 13 14 15 20 25 22 16 12 11 9 4 3 5 8 7 5 2 1 1 1 2 1 2 2 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
0 0 0 0 0 1 1 4 8 12 17 24 34 44 52 58 62 66 69 71 74 77 75 72 68 65 62 60 55 50 43 34 23 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 11 5 1 0 0 0 0 0 1 5 14 34 87 145 186 196 170 98 47 21 12 11 13 13 13 12 12 13 12 5 1 0 0 1 0 0 0 0 1 0 0 0 0 2 18 22 21 17 13 9 11 11 8 8 13 21 21 19 19 18 15 6 3 4 6 6 5 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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