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 8 8 9 9 9 9 9 9 9 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 10 9 8 8 8 7 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 9 10 10 9 8 6 5 7 8 9 9 8 9 10 10 8 6 7 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 10 8 5 5 7 8 9 9 9 10 11 10 8 6 7 7 7 7 nan
nan 8 8 8 9 9 8 8 8 8 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 12 12 12 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 10 10 8 7 6 7 8 8 9 9 10 10 9 7 6 6 7 7 7 nan
nan 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 8 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 10 11 12 13 13 13 13 11 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 7 6 6 6 6 6 7 8 9 10 10 10 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 nan
nan 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 7 7 7 8 8 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 10 11 11 12 13 14 14 13 12 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 8 8 8 7 6 6 6 7 9 10 9 8 7 7 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 7 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 9 9 8 8 8 7 7 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 11 12 13 13 13 13 13 12 10 9 9 9 9 9 8 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 10 11 11 10 9 9 10 10 8 7 6 7 9 10 10 9 7 6 6 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 7 2 nan
nan 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 8 7 7 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 12 13 13 13 13 12 10 9 8 8 9 9 8 8 7 7 6 6 5 5 5 5 6 7 7 8 8 8 8 7 7 8 9 11 11 11 11 12 13 12 10 8 8 8 10 11 10 8 6 5 6 8 8 8 8 7 7 8 8 8 9 9 9 9 10 10 9 4 -2 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 11 12 12 12 12 11 9 8 7 7 8 8 8 8 7 7 6 5 5 5 5 5 6 7 7 9 9 9 9 8 7 6 6 7 8 8 8 10 13 15 15 12 10 9 9 9 10 9 8 7 6 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 7 3 1 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 11 11 12 12 11 11 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 7 8 9 9 9 9 8 6 5 5 6 6 5 4 6 10 15 16 16 13 11 8 8 9 8 8 7 8 8 9 9 8 7 6 6 6 7 8 9 10 10 10 10 10 9 8 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 5 5 5 6 6 4 2 3 6 12 17 18 16 12 7 5 7 8 9 8 8 9 9 9 8 6 5 5 6 7 8 9 9 10 10 10 10 11 11 12 nan
nan 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 9 9 9 8 8 8 7 8 8 8 7 7 7 8 8 7 7 7 7 7 5 3 2 4 9 15 18 18 13 7 6 7 8 9 8 8 8 8 8 7 6 5 6 6 7 8 9 9 10 10 10 11 11 12 12 nan
nan 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 7 5 4 3 3 6 12 16 18 16 11 8 7 7 8 7 7 6 6 6 7 7 6 7 7 8 8 9 9 9 10 10 11 12 12 11 nan
nan 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 9 9 9 8 8 7 6 5 4 3 4 8 13 17 18 15 11 8 5 6 7 7 7 6 6 7 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 nan
nan 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 9 10 11 12 13 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 5 3 2 5 9 14 18 17 13 8 5 5 7 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 nan
nan 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 9 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 11 12 13 13 12 12 11 11 11 10 9 9 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 7 6 4 1 3 6 12 17 17 14 10 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 13 13 13 13 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 11 11 10 10 9 9 9 9 10 11 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 9 8 8 8 8 8 8 7 4 2 2 4 10 16 18 15 11 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 nan
nan 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 10 11 12 12 12 12 11 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 11 10 8 8 7 7 7 8 7 5 2 2 4 10 17 18 15 11 8 7 8 8 8 8 8 9 10 10 10 9 10 10 11 11 10 10 10 10 10 9 8 nan
nan 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 12 12 12 12 11 10 10 10 10 9 9 9 10 11 12 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 14 14 13 12 10 9 8 8 7 7 7 7 7 5 4 3 5 11 16 16 13 8 5 5 6 7 8 9 10 10 11 11 11 10 11 11 12 11 11 11 11 10 10 9 8 nan
nan 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 11 11 11 11 10 10 9 10 10 11 12 12 12 12 12 13 13 14 14 13 11 9 7 7 7 8 7 7 7 7 7 6 5 5 7 10 12 11 9 5 3 5 7 9 9 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 8 8 8 8 8 7 7 6 6 6 7 7 8 9 10 12 12 12 12 11 11 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 10 10 10 9 8 9 10 10 11 11 11 11 11 12 12 12 12 11 8 7 6 7 8 8 7 6 7 7 7 7 8 8 9 9 8 7 5 3 5 7 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 11 12 13 12 11 11 10 10 10 9 9 8 8 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 11 10 8 6 6 7 8 8 7 6 6 7 8 9 10 11 11 9 6 4 2 3 6 8 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 9 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 9 8 7 7 7 7 7 8 8 8 7 7 7 7 8 9 10 11 12 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 8 6 5 5 7 7 7 6 7 7 8 10 11 12 11 9 5 2 2 4 7 9 10 9 8 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 10 11 12 13 13 13 12 11 11 10 10 9 9 9 10 10 10 11 10 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 10 9 6 4 4 6 6 7 7 8 8 9 11 13 14 12 8 5 3 3 6 8 9 8 8 8 9 10 10 11 11 11 11 12 12 11 10 10 9 8 8 8 8 9 nan
nan 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 8 8 8 9 9 9 10 11 12 13 14 13 13 13 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 10 10 8 6 5 5 6 7 8 8 9 10 12 14 15 12 7 5 4 6 8 8 8 6 6 8 9 10 11 11 12 12 12 12 11 10 9 8 7 7 7 7 8 9 nan
nan 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 9 9 10 11 13 14 14 14 13 13 12 11 10 10 9 9 9 9 9 10 10 10 11 11 12 12 11 10 10 9 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 10 10 9 7 6 5 6 7 8 9 9 11 12 15 14 10 7 5 5 7 8 6 5 4 5 8 10 11 11 11 12 12 12 10 9 9 9 8 6 6 7 8 9 10 nan
nan 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 12 13 14 14 14 13 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 11 10 8 7 6 5 5 5 5 6 6 6 7 7 7 7 8 7 7 7 7 7 8 8 7 7 9 10 9 7 5 5 5 7 8 9 9 10 12 14 12 9 6 5 7 8 7 5 4 4 6 9 11 12 12 12 12 11 11 10 11 11 10 8 7 8 9 10 10 11 nan
nan 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 9 9 9 8 8 7 7 6 7 7 7 7 8 8 8 8 9 9 10 10 11 12 13 14 15 15 13 12 11 10 11 11 10 10 9 9 9 8 8 9 10 10 10 10 10 11 11 11 10 9 8 6 5 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 9 9 9 7 5 4 4 6 7 8 9 10 11 11 9 7 6 7 9 9 7 6 5 6 8 11 13 14 13 12 11 11 12 13 13 13 11 10 11 12 13 13 13 12 nan
nan 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 12 13 14 14 15 14 13 12 11 10 10 10 10 9 9 8 8 8 8 9 10 11 11 10 9 9 10 10 10 10 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 10 9 7 5 4 4 5 5 7 8 9 10 9 8 7 8 10 11 10 9 8 8 8 9 11 13 14 13 12 11 11 13 14 13 11 10 11 12 14 16 16 15 13 nan
nan 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 9 9 8 7 7 7 7 6 6 6 6 7 8 9 10 11 11 11 12 13 15 15 15 14 13 12 11 11 10 10 10 9 8 8 8 8 9 10 11 11 11 10 9 8 8 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 9 8 8 8 8 8 10 10 10 10 8 6 5 4 4 4 6 7 8 9 9 9 10 11 11 11 10 10 10 10 9 10 11 12 14 13 12 11 12 12 11 10 9 9 11 13 15 17 19 19 17 nan
nan 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 5 5 6 7 9 10 11 11 12 12 13 14 15 15 14 13 12 11 11 11 10 9 9 8 8 8 8 9 10 10 11 10 10 9 8 8 9 10 10 10 9 9 9 9 9 8 8 8 9 9 8 7 6 6 6 7 8 8 9 10 9 9 8 8 9 10 11 11 10 9 7 6 5 4 4 5 6 7 8 9 11 11 11 10 10 10 11 11 11 10 10 10 12 14 13 12 11 11 10 9 8 8 10 11 12 15 17 19 20 19 nan
nan 11 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 9 10 11 12 13 14 15 15 15 14 13 12 12 11 10 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 10 10 10 10 9 9 10 9 9 8 8 8 9 9 9 8 7 6 7 7 8 9 9 10 10 9 9 9 9 10 10 10 9 8 8 7 6 6 5 6 6 7 8 10 11 11 10 9 9 11 12 12 11 11 11 11 13 14 13 12 11 10 9 8 8 9 11 12 13 14 16 16 16 15 nan
nan 12 12 12 11 10 10 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 11 12 13 14 16 16 15 13 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 6 6 5 6 8 10 11 10 8 8 9 11 13 13 12 12 12 13 13 13 12 11 10 9 9 9 9 10 12 12 12 12 12 12 11 10 nan
nan 12 12 11 11 10 10 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 12 14 16 16 15 14 12 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 8 7 6 5 6 7 9 10 9 7 7 10 13 14 14 13 13 14 13 12 11 10 10 10 9 9 9 10 11 11 11 11 10 9 9 9 7 nan
nan 12 12 11 10 10 9 8 7 7 7 7 7 8 7 7 6 7 7 8 9 9 8 8 9 9 10 10 11 12 13 15 16 15 13 12 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 9 9 9 9 7 6 7 8 8 7 6 8 12 14 14 13 13 14 14 12 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 6 nan
nan 11 11 10 9 8 7 6 6 6 7 8 8 7 4 3 3 5 7 9 10 10 10 9 9 9 9 10 11 13 14 15 15 13 11 10 10 10 10 10 10 10 10 10 9 9 8 9 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 9 8 6 6 6 7 10 12 12 10 8 7 7 6 6 7 10 12 13 12 12 12 12 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 7 5 nan
nan 10 10 9 8 7 7 6 7 8 9 10 9 7 5 4 4 6 8 9 10 10 10 10 9 8 8 10 12 13 14 14 13 11 10 10 10 9 9 9 9 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 10 10 10 11 11 9 7 6 6 9 11 11 10 8 7 7 6 6 8 10 11 11 10 9 9 8 8 9 10 11 10 9 10 10 10 10 10 10 10 9 8 8 8 8 7 4 nan
nan 10 10 9 9 8 8 9 10 10 11 11 10 9 8 7 8 9 10 10 10 10 10 10 9 8 8 10 12 13 14 13 11 11 10 10 9 8 8 8 9 10 10 10 9 9 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 9 10 11 12 13 12 10 8 7 8 9 9 7 6 7 8 9 9 9 9 9 8 7 6 6 6 9 13 14 13 12 11 12 12 11 11 10 10 9 8 8 8 9 9 7 4 nan
nan 10 10 10 9 8 9 9 10 10 10 10 10 10 11 11 11 11 10 11 11 10 10 9 8 8 9 11 13 13 13 12 11 11 10 10 9 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 10 11 11 10 9 8 8 9 11 13 14 13 12 10 8 8 8 8 7 6 6 8 11 11 10 9 8 7 7 6 6 6 8 13 16 16 15 14 14 14 13 12 11 10 10 9 8 8 8 9 8 5 1 nan
nan 10 10 10 9 8 8 8 7 8 8 8 10 11 12 12 12 11 11 11 11 11 10 9 9 10 11 13 13 13 13 12 11 10 9 9 8 9 9 10 10 10 9 9 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 9 10 10 11 11 11 10 9 8 9 10 11 12 11 10 9 10 10 12 13 14 12 10 8 7 7 8 8 7 7 9 11 12 12 10 9 8 7 7 7 8 9 12 16 16 15 14 14 15 14 13 11 11 10 9 8 6 6 6 5 3 -0 -1 nan
nan 10 10 10 10 9 8 8 7 7 8 9 11 12 13 12 12 11 11 11 11 11 10 10 10 11 12 13 13 13 12 11 11 10 9 8 8 9 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 11 12 11 11 10 10 11 11 12 11 10 8 7 7 8 9 9 9 10 12 12 12 10 9 9 8 7 7 8 10 11 14 14 14 13 14 15 14 13 12 10 10 9 8 6 4 3 2 1 0 -0 1 nan
nan 8 9 9 9 9 9 9 9 9 10 11 12 13 13 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 9 8 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 9 9 8 9 9 9 10 10 9 8 7 7 7 7 9 10 10 10 11 10 10 10 9 9 9 8 8 8 9 10 10 10 11 12 12 11 10 9 10 9 8 7 7 9 11 13 13 12 12 13 15 16 15 14 12 10 9 7 4 2 0 -0 1 2 5 7 10 nan
nan 6 7 7 7 8 8 9 10 10 11 11 12 12 11 10 9 9 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 8 7 7 8 8 9 10 10 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 7 6 6 7 7 7 8 9 10 10 9 8 8 8 8 8 9 10 11 11 11 11 11 12 11 10 9 10 11 10 8 6 8 10 12 13 12 11 11 13 16 17 16 14 11 8 5 3 1 -0 0 2 5 9 13 16 17 nan
nan 6 6 6 6 6 7 8 8 8 9 9 9 9 8 8 9 10 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 8 9 9 9 10 11 11 11 11 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 9 10 10 9 9 10 10 10 10 10 10 10 10 9 8 7 7 6 5 5 7 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 10 9 10 11 12 11 9 6 6 9 12 14 14 12 11 11 13 15 16 16 13 9 5 3 3 4 5 7 10 14 18 20 20 19 nan
nan 8 8 7 7 7 7 6 6 6 6 7 7 7 8 9 10 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 8 9 9 9 10 11 11 11 11 10 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 6 5 4 4 7 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 9 10 12 12 10 8 6 8 12 15 16 15 13 11 12 14 16 17 17 13 9 8 8 10 13 15 17 19 22 24 23 20 18 nan
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nan 12 12 11 10 9 9 10 10 10 10 9 9 10 11 14 15 15 15 14 13 12 12 11 11 11 11 10 10 10 9 8 7 7 8 9 11 10 10 9 8 8 9 10 10 11 11 11 11 10 9 8 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 6 4 3 5 7 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 14 13 13 12 12 13 13 14 14 15 15 14 13 11 10 10 11 13 nan
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nan 11 10 9 9 10 11 12 12 11 12 12 13 14 15 16 15 14 13 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 8 9 10 10 9 9 8 8 9 9 10 11 11 11 10 9 9 10 10 11 11 11 11 10 10 10 11 11 10 10 10 11 12 12 13 13 13 12 11 9 7 6 6 6 6 5 5 6 7 8 9 9 10 10 9 8 6 4 3 2 2 2 2 4 5 7 8 9 9 9 10 11 11 11 11 11 11 11 13 13 12 9 6 6 10 17 22 24 20 15 11 10 10 10 10 10 10 10 10 10 nan
nan 11 9 8 9 10 11 11 11 11 11 11 12 13 15 15 16 15 15 14 13 12 11 10 10 10 10 9 10 9 9 9 9 9 9 10 11 11 10 9 8 8 9 10 12 13 12 11 9 8 9 10 10 11 10 10 9 8 7 7 7 8 9 10 11 12 13 14 14 13 13 12 12 10 9 7 7 7 6 5 4 5 6 7 8 9 10 11 11 10 8 7 6 5 5 5 6 7 8 8 8 8 9 9 9 10 11 12 13 13 14 15 15 15 14 11 10 11 15 19 22 21 16 12 10 10 10 10 10 10 10 10 10 10 nan
nan 10 9 8 9 10 11 11 11 11 10 11 11 12 13 14 15 15 15 15 14 12 11 10 10 9 9 8 9 9 9 9 9 10 10 10 11 11 11 10 9 9 10 11 12 13 12 10 8 8 9 10 11 11 10 10 9 8 6 5 5 5 7 9 11 14 15 14 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 9 10 11 11 12 12 11 10 9 8 8 8 8 8 8 9 9 9 9 10 11 12 13 13 14 14 15 14 13 12 12 13 15 18 18 15 12 10 9 9 10 10 10 10 10 10 10 10 nan
nan 10 9 9 9 10 11 12 12 11 11 11 11 11 12 13 14 14 14 14 13 12 11 11 10 10 8 8 8 8 9 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 11 9 8 8 9 10 11 11 11 10 10 9 7 6 6 5 6 7 10 12 14 13 13 11 10 10 10 10 10 11 11 12 13 14 14 14 13 11 8 7 7 7 8 10 12 13 12 11 9 8 7 7 8 8 9 9 9 9 10 10 11 12 12 13 13 14 14 14 13 12 12 14 16 17 16 13 11 10 9 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 12 13 13 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 12 11 9 8 9 9 10 10 9 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 10 10 10 10 11 11 10 9 9 8 8 8 8 8 9 10 12 12 12 11 10 10 10 10 11 11 11 12 13 14 15 15 15 14 12 11 8 6 5 6 7 8 8 7 6 6 6 7 8 9 9 9 9 9 10 10 11 11 12 13 13 14 15 14 14 13 14 16 19 19 17 14 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 9 9 10 11 12 13 13 13 13 13 14 14 14 15 14 14 14 13 13 13 13 13 12 11 10 10 10 10 9 9 9 10 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 10 10 11 11 11 10 9 9 9 10 10 10 10 9 10 11 11 12 11 11 11 11 11 11 11 11 12 12 12 13 14 15 15 15 15 13 9 5 3 2 3 4 4 5 6 7 8 8 9 9 9 9 9 10 10 11 11 12 13 14 16 17 17 16 15 16 19 20 19 16 13 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 11 12 12 13 13 14 15 15 15 15 14 14 13 13 14 14 14 13 12 12 11 11 10 9 8 8 9 10 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 9 10 11 11 11 11 11 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 13 14 15 15 14 12 9 6 4 4 6 7 8 9 8 8 8 8 8 8 9 9 10 10 11 11 13 15 18 20 20 18 16 15 16 18 18 16 14 12 11 10 10 10 10 10 11 11 11 11 11 11 nan
nan 9 9 8 8 8 9 9 10 11 11 12 14 14 15 15 14 13 13 13 13 13 13 13 12 12 11 11 10 9 9 9 10 10 11 10 11 11 11 11 11 12 12 12 12 12 10 9 9 9 10 11 11 12 12 12 11 11 10 10 9 9 10 10 11 11 11 10 10 11 12 12 12 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 10 11 11 10 9 8 8 8 8 8 9 9 10 10 11 12 14 17 21 22 20 18 14 13 14 14 13 13 12 11 10 10 10 9 10 10 10 11 11 11 11 11 nan
nan 9 8 8 7 7 7 8 9 10 11 12 13 14 15 15 14 13 13 12 12 12 12 11 11 11 10 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 11 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 11 12 12 11 10 10 9 9 10 11 12 13 13 12 11 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 9 9 9 10 10 11 13 16 19 22 21 19 16 14 13 13 11 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 8 7 7 6 6 7 7 9 10 11 12 13 14 14 14 13 13 13 12 12 12 12 11 11 11 10 11 12 13 13 13 12 10 9 9 9 10 10 10 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 11 10 10 9 9 8 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 12 12 12 11 11 10 9 8 8 8 9 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 12 16 19 22 23 22 19 16 15 15 13 11 9 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 6 6 6 6 7 8 10 12 13 14 14 15 14 13 13 12 12 12 12 11 11 11 11 10 10 11 12 13 13 12 10 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 11 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 10 11 11 9 7 6 6 8 10 11 11 11 10 10 10 9 9 9 10 10 10 10 11 12 15 19 22 23 22 19 17 16 15 14 13 11 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 nan
nan 7 6 5 6 6 8 10 12 13 15 15 15 15 14 13 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 11 10 9 8 8 8 8 9 10 11 12 12 12 11 10 10 9 9 8 7 7 7 8 8 8 8 8 9 9 8 7 6 6 9 10 11 12 11 10 10 9 9 9 9 10 10 10 11 12 14 18 21 22 21 18 15 13 12 12 11 11 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 6 6 6 6 7 9 11 13 14 15 16 15 15 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 13 13 13 13 13 12 11 11 10 9 9 8 8 8 9 10 12 12 12 12 12 11 11 10 9 8 7 7 7 8 8 9 8 8 9 10 11 10 8 7 8 9 11 11 12 12 11 10 10 9 9 9 10 10 11 12 14 17 20 22 21 17 13 12 11 10 10 9 9 9 9 9 10 10 11 11 12 12 12 11 11 10 10 10 10 10 nan
nan 6 6 6 7 8 9 11 12 13 15 15 15 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 13 13 12 12 11 10 10 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 9 8 8 7 8 9 10 10 10 10 11 11 12 12 10 9 9 10 11 12 12 12 12 11 11 10 10 10 10 11 12 13 16 19 20 19 17 13 11 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 nan
nan 6 6 6 6 7 8 10 11 13 14 15 14 13 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 11 10 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 10 10 9 8 8 8 9 10 11 12 12 11 11 11 11 10 9 9 10 12 13 12 12 12 12 12 13 12 12 12 12 12 13 14 16 18 18 16 13 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 11 nan
nan 6 5 5 6 7 8 9 11 12 13 13 13 13 12 12 11 10 10 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 12 13 14 14 14 13 12 11 10 10 9 9 10 10 10 10 9 9 10 11 11 12 11 11 10 10 10 9 9 8 8 8 9 10 11 12 12 11 11 10 9 9 9 10 12 13 13 12 11 11 12 14 15 15 14 14 13 13 14 15 16 17 16 14 12 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 nan
nan 6 5 5 6 7 8 9 11 12 13 12 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 12 13 13 14 13 13 12 11 11 10 9 9 9 10 10 11 10 10 10 10 11 11 12 11 11 10 10 9 9 9 8 8 8 9 10 10 11 10 10 10 10 8 8 9 11 13 13 13 12 12 12 13 15 16 16 15 15 14 14 14 15 15 14 13 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 nan
nan 6 6 6 7 8 9 10 12 13 12 11 9 9 8 9 9 9 9 9 8 8 7 8 8 9 9 10 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 13 14 15 15 15 14 14 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 nan
nan 8 8 9 9 10 11 12 13 13 12 11 10 9 8 8 9 9 9 9 9 8 7 6 7 8 10 11 11 10 9 9 8 8 9 10 10 11 12 12 12 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 nan
nan 9 10 11 12 13 14 14 14 13 12 11 10 9 9 9 9 9 9 9 9 8 7 6 7 9 10 12 12 12 11 9 8 8 8 8 9 9 10 11 12 13 13 12 12 12 13 13 12 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 9 10 11 13 15 16 16 15 14 13 11 10 9 8 8 8 8 8 8 8 7 7 7 7 9 10 12 13 13 13 13 11 10 10 9 9 10 10 11 12 12 12 12 12 12 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 10 10 9 8 8 8 9 8 8 8 8 8 8 9 9 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 nan
nan 9 9 10 12 15 16 17 16 15 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 12 14 16 16 14 14 13 13 12 12 11 12 12 12 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 8 8 8 8 8 8 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 nan
nan 9 9 10 12 13 15 16 16 15 13 12 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 11 14 15 16 15 15 15 15 14 14 13 12 12 12 11 11 12 12 12 12 13 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 nan
nan 10 10 11 12 12 13 14 14 14 13 12 12 12 12 12 12 11 10 10 9 9 9 9 8 8 8 9 11 13 14 15 15 14 14 13 13 13 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 9 10 10 11 11 11 10 9 8 8 9 9 9 9 10 9 9 10 10 11 12 12 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 12 12 nan
nan 10 11 12 12 12 12 12 12 13 13 13 14 14 15 15 14 13 12 12 11 11 10 10 9 9 9 10 12 14 14 15 14 13 13 12 11 11 10 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 10 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 nan
nan 11 12 12 12 12 12 12 12 12 13 14 14 15 16 16 16 14 14 13 13 13 12 12 12 12 12 13 14 15 15 14 14 13 12 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 10 11 13 13 14 13 11 10 10 10 10 10 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 11 11 11 11 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
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 3 2 2 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 3 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 3 3 2 2 2 2 1 1 1 1 1 0 0 0 1 1 1 2 2 2 3 3 3 3 3 3 4 5 5 5 5 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 2 2 2 2 2 1 1 1 0 0 0 0 0 1 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 5 4 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 0 0 0 1 1 0 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 0
1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 1 1 2 3 3 4 4 5 5 5 5 5 5 5 6 6 7 7 5 4 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 0 0 1 1 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 1 2 2 2 2 3 3 3 3 2 2 2 1 1 1 0 0 0 0 0 2 3 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 2 2 2 3 3 3 4 3 3 3 2 2 2 1 1 0 0 0 0 0 1 3 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 3 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 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 0 0 0 0 0 0 0 0 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 2 3 3 3 4 3 4 4 3 3 3 2 2 1 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 5 4 3 3 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 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
2 2 3 3 4 4 4 4 4 4 4 3 2 2 2 1 0 0 0 0 0 0 1 2 2 3 4 4 5 5 4 3 2 1 1 2 3 3 3 3 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 12 9 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 4 4 4 4 4 5 5 5 5 4 3 2 2 1 1 0 0 0 0 0 1 2 3 3 3 3 4 5 4 3 1 1 1 3 6 8 9 8 6 4 2 1 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 0 0 0 0 2 3 4 3 1 1 1 1 2 6 12 14 11 6 2 2 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 4 4 5 5 5 5 5 5 5 4 4 3 2 1 1 0 0 1 1 1 2 3 4 5 6 5 6 5 4 2 1 1 1 3 7 11 13 12 9 5 2 2 1 1 1 0 1 1 1 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 1 3 6 9 10 10 8 7 7 7 8 12 15 14 11 6 3 3 1 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 0 0 0 0 0 0 0 0
3 3 3 4 5 5 5 6 6 6 5 5 5 4 3 2 1 1 1 2 3 4 4 5 7 8 9 10 11 10 8 5 2 2 3 5 8 12 12 10 7 4 2 2 2 2 2 3 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 12 15 18 19 19 19 17 14 15 20 22 21 15 9 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 3 4 5 5 6 7 7 7 6 6 5 4 3 3 3 4 5 7 7 9 10 11 13 16 18 21 23 22 18 11 8 8 9 10 9 7 4 3 3 3 2 3 4 6 7 8 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 16 17 19 21 24 23 22 24 33 33 27 19 11 6 4 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 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2
1 2 2 3 3 4 5 6 7 8 7 7 7 6 5 5 5 6 7 9 10 11 13 15 17 19 22 26 30 33 34 32 25 21 17 14 11 7 4 3 3 4 4 4 5 8 10 10 8 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 1 4 7 10 10 10 11 12 17 24 31 36 41 39 34 25 17 11 8 6 3 1 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 1 1 1 1 2 2 2 2 1 2 3 3
2 2 2 3 4 5 6 8 8 8 8 8 8 7 7 7 7 8 10 11 13 15 16 18 20 23 26 30 34 36 37 36 34 29 24 18 12 7 5 5 5 5 6 7 8 9 10 7 4 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 2 3 6 6 5 4 5 12 21 29 34 37 37 35 30 24 17 12 8 4 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 1 1 1 2 2 2 2 2 3 3 2 1 1 1
2 2 3 4 5 6 8 9 9 10 9 9 8 8 8 8 8 10 11 13 14 16 18 20 22 25 27 29 32 33 34 34 33 30 26 21 14 11 9 8 8 8 9 10 11 9 6 3 1 2 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 1 3 3 2 1 3 7 12 17 22 26 28 30 30 29 20 13 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 3 3 3 2
2 3 4 5 6 8 9 10 10 10 10 9 9 9 9 9 10 11 12 12 13 15 17 20 23 24 25 25 25 26 27 28 28 28 27 23 19 16 14 12 12 12 11 11 9 6 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 9 12 15 17 19 18 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 4 4 3 3 2
3 4 5 7 8 9 10 10 10 10 10 11 11 10 10 10 10 11 11 11 12 13 15 18 20 20 18 16 16 17 19 22 26 28 27 24 22 19 17 14 12 9 6 4 4 4 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 1 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2
5 5 6 7 8 8 9 10 10 11 11 12 12 11 11 11 11 11 11 11 10 11 12 13 12 11 8 7 9 11 15 19 22 24 23 22 20 17 14 9 6 3 3 5 7 9 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 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 7 7 7 7 6 6 6 6 6 5 4 4 4 4 4 4 4 5 3
6 6 7 8 8 8 8 9 10 11 12 12 13 13 13 13 12 12 11 9 8 8 8 7 6 5 4 4 6 8 11 14 15 15 13 12 9 6 4 3 2 3 5 8 9 8 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 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 6 6 5 5 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 3
6 7 8 8 8 8 8 8 10 11 12 13 14 14 14 13 12 11 8 6 6 5 3 2 2 2 2 3 4 5 5 5 5 4 3 1 0 0 0 1 4 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 6 5 4 4 4 4 5 5 6 7 8 7 6 5 4 4 4 4 4 3 3
5 7 7 7 8 8 8 8 9 10 11 12 13 13 13 12 10 8 6 5 3 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 8 6 5 4 4 4 4 5 5 6 6 7 6 5 4 3 3 3 4 4 4 5
3 4 5 5 5 5 5 5 6 7 8 9 9 10 10 9 8 6 4 3 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 9 9 8 7 5 4 4 5 5 5 5 5 7 7 7 5 3 1 1 2 3 4 4 5
1 1 1 2 2 3 3 2 3 4 4 5 5 5 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 11 11 10 7 6 4 4 5 5 5 5 6 7 7 6 3 2 1 1 1 2 2 4 5
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