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 15 14 12 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 12 12 12 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 8 7 6 7 9 10 10 9 8 7 8 9 10 9 9 8 8 9 9 9 10 10 10 10 9 8 7 7 nan
nan 16 15 13 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 7 6 6 8 9 9 9 8 8 9 10 10 10 9 9 8 9 9 10 10 11 12 11 10 9 9 8 nan
nan 14 14 14 13 12 11 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 9 9 9 7 6 7 9 9 9 8 8 9 10 10 10 10 10 9 9 8 8 9 10 11 12 11 11 10 10 9 nan
nan 12 13 13 13 12 12 11 10 8 7 6 7 8 9 10 10 10 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 8 7 7 6 6 6 6 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 7 9 10 9 8 7 8 9 10 10 9 9 9 9 9 8 7 7 8 10 10 10 10 10 10 9 nan
nan 11 11 11 11 10 10 10 9 8 7 7 7 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 9 9 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 10 10 9 8 7 8 9 9 9 8 8 7 7 8 8 7 7 7 8 8 8 8 9 10 9 nan
nan 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 8 7 6 7 7 8 8 8 9 10 11 11 11 11 10 9 8 6 5 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 9 11 11 9 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 7 7 7 8 9 10 9 nan
nan 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 9 8 7 8 8 9 9 9 9 10 10 10 10 10 9 8 6 5 5 5 6 7 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 10 10 9 9 10 11 10 9 8 7 6 6 7 7 8 9 10 9 8 7 7 8 10 10 9 nan
nan 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 5 6 7 8 8 9 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 9 9 9 10 11 12 11 10 9 8 8 8 8 8 8 10 10 9 8 7 8 9 10 10 9 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 5 6 6 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 8 7 6 7 8 9 9 9 11 12 13 12 11 10 9 9 9 9 9 9 10 9 8 7 8 9 11 11 11 10 nan
nan 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 6 6 7 7 8 8 9 9 10 10 10 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 11 13 13 13 12 10 10 10 10 10 10 11 11 10 9 9 10 11 12 12 12 11 nan
nan 7 7 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 10 9 10 11 13 14 14 13 12 12 12 12 12 12 12 12 11 11 11 12 13 13 12 12 11 nan
nan 5 6 7 8 9 9 9 9 10 10 9 8 7 7 8 8 8 8 7 7 6 6 6 5 5 5 4 5 6 6 7 7 7 7 7 7 7 8 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 11 12 12 11 11 12 14 15 16 15 15 14 14 13 13 13 13 13 12 12 12 13 13 13 12 12 12 nan
nan 4 5 7 8 8 9 9 9 9 9 8 7 7 7 7 8 8 7 7 6 6 6 5 5 5 5 5 6 7 7 8 7 7 7 7 8 8 9 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 10 11 11 12 11 11 12 13 14 14 14 14 14 14 15 15 15 15 14 13 13 13 13 12 11 11 11 12 12 12 12 13 13 nan
nan 5 7 8 8 8 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 13 14 14 15 15 16 17 16 15 14 12 11 11 11 12 11 11 10 11 11 12 11 9 9 10 10 10 10 12 14 13 nan
nan 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 9 9 10 11 12 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 11 12 13 14 15 16 17 17 17 16 15 15 14 12 10 9 8 7 8 8 9 8 8 8 9 9 9 8 8 8 8 8 10 12 13 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 9 10 11 12 13 15 16 17 18 18 18 16 15 12 10 9 8 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 8 8 8 8 9 11 11 10 nan
nan 8 8 9 9 8 8 8 9 9 8 8 8 7 6 6 5 5 5 5 6 7 8 9 9 8 7 6 6 7 9 10 11 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 11 12 14 16 17 17 17 16 15 13 11 9 8 7 6 5 6 6 7 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 nan
nan 8 8 9 9 9 9 8 8 8 8 7 7 6 5 5 5 5 6 6 7 8 8 8 8 7 6 6 7 8 10 12 13 13 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 15 16 17 17 15 13 11 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 nan
nan 7 8 8 9 9 9 8 8 7 7 6 6 5 5 5 6 7 7 7 8 8 8 7 6 6 7 8 9 11 12 13 13 13 12 11 10 10 9 9 10 10 10 10 10 11 12 12 13 14 15 16 16 17 16 13 11 9 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 8 8 8 9 9 8 8 7 6 6 6 5 6 6 7 7 7 7 7 7 7 6 6 6 8 9 11 12 13 14 13 13 12 11 11 10 10 10 10 11 11 11 11 12 12 13 14 15 16 17 17 16 15 12 9 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 7 7 7 6 6 7 7 9 10 12 13 14 14 13 13 12 12 11 11 11 12 12 12 12 12 12 13 13 14 14 15 16 17 17 16 14 11 9 7 6 6 6 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 7 8 9 10 11 12 13 13 13 13 13 13 13 12 12 12 12 13 13 12 12 12 12 13 13 14 15 15 16 17 16 15 13 11 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 11 12 13 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 12 12 12 13 14 15 16 16 16 15 13 11 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 nan
nan 5 5 5 5 6 6 6 6 7 7 7 7 8 8 9 10 11 12 13 14 14 15 14 14 13 13 13 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 13 15 15 16 16 15 13 11 9 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 nan
nan 5 5 5 6 7 7 7 7 8 8 9 9 10 11 12 13 14 14 15 14 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 16 15 13 11 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 nan
nan 6 6 7 7 8 8 9 9 10 11 11 12 13 14 15 16 16 15 14 14 14 13 13 13 13 12 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 15 15 15 14 12 10 9 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 7 8 9 9 9 10 11 11 12 13 13 14 14 15 16 16 16 15 14 13 12 11 10 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 12 13 14 15 15 15 13 11 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 10 11 11 11 11 11 12 13 14 14 14 15 15 16 16 15 14 13 12 11 10 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 12 13 14 15 15 14 12 10 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 14 14 13 12 12 13 14 15 15 14 14 14 14 13 13 12 10 9 8 7 6 6 7 8 10 11 12 12 11 11 10 9 9 9 9 9 9 10 11 12 13 14 14 14 13 10 8 7 6 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 nan
nan 15 16 16 14 13 13 13 13 13 13 12 11 10 11 10 9 9 8 7 6 6 6 7 9 11 13 13 12 11 10 9 9 9 9 9 9 9 10 10 11 12 13 14 14 14 12 9 7 6 5 6 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 nan
nan 14 14 14 12 12 11 11 11 10 9 8 7 8 8 7 7 6 6 5 6 7 8 10 12 14 13 12 11 10 9 9 8 9 9 9 9 10 10 11 12 13 13 14 14 13 11 8 7 6 6 7 7 8 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 nan
nan 11 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 5 6 7 9 11 13 14 13 12 10 9 9 8 8 9 9 9 9 10 10 11 11 12 13 13 13 14 12 9 7 5 5 6 7 9 9 9 9 10 9 9 10 10 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 9 9 nan
nan 9 8 8 8 8 7 7 7 7 6 5 5 6 6 6 6 7 7 8 10 12 14 15 14 12 10 9 8 8 8 9 9 9 9 10 10 11 11 12 12 12 13 13 13 11 8 5 4 3 5 8 9 10 9 9 8 8 7 6 6 7 7 8 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 10 9 9 nan
nan 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 8 9 10 11 13 14 15 14 12 10 9 8 8 8 8 9 9 9 10 10 11 11 12 11 11 12 12 12 13 12 10 7 5 4 6 7 8 9 9 8 7 6 5 3 2 2 4 6 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 9 9 8 8 7 6 6 6 6 6 6 7 8 8 9 10 11 13 14 14 14 13 11 10 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 9 7 7 7 7 8 8 8 7 6 4 3 1 0 0 2 4 7 8 9 9 8 9 9 10 10 9 9 10 10 10 10 9 8 8 9 9 10 10 10 10 10 nan
nan 8 8 8 7 6 5 5 6 6 7 7 8 9 11 11 12 14 15 15 13 12 11 10 9 9 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 13 13 13 13 11 10 8 7 7 7 7 8 7 6 4 3 2 0 -0 -0 2 5 7 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 10 9 9 10 10 nan
nan 8 7 7 7 6 6 6 6 7 8 9 10 11 12 13 14 15 15 14 12 11 10 9 9 9 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 12 13 14 13 12 11 9 8 7 7 8 8 8 6 5 4 3 1 1 0 1 3 6 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 8 7 8 8 8 nan
nan 6 6 6 6 6 6 7 7 8 9 10 12 13 14 15 16 16 15 13 11 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 11 12 13 14 13 12 11 10 8 8 8 9 9 8 6 5 4 3 2 2 2 2 3 5 8 9 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 8 5 5 6 6 5 nan
nan 6 6 6 6 6 6 7 8 9 11 12 13 14 15 16 16 15 13 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 11 10 8 8 8 10 10 9 7 5 4 4 3 3 3 3 3 5 7 9 10 10 10 10 9 9 10 10 10 9 7 7 8 9 9 7 5 5 5 6 5 nan
nan 7 6 6 6 6 7 8 10 11 12 13 14 14 15 15 15 13 12 10 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 11 12 13 14 13 12 10 8 8 8 10 10 9 7 5 5 4 4 4 3 3 4 4 5 7 9 10 10 10 9 9 9 10 11 10 8 8 8 9 9 8 7 7 7 7 7 nan
nan 8 7 6 6 8 9 12 13 14 14 14 14 15 15 14 12 11 10 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 9 10 12 13 14 14 13 11 10 8 9 9 10 9 7 6 5 5 4 4 4 4 3 3 4 7 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 8 7 8 nan
nan 8 7 8 9 11 13 14 15 15 14 14 14 14 14 12 11 10 9 9 9 9 9 9 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 8 10 12 14 15 14 13 12 11 10 9 10 10 9 8 6 6 5 5 4 4 4 3 3 5 9 11 11 10 9 9 10 10 10 10 10 10 10 10 10 11 10 10 8 6 7 9 nan
nan 9 9 10 12 14 15 15 14 14 14 13 14 13 12 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 10 11 13 14 14 14 13 13 12 11 10 10 10 9 8 7 6 5 5 5 5 4 4 4 8 12 14 13 11 8 9 10 11 11 11 11 11 11 11 11 11 10 8 7 6 8 9 nan
nan 11 12 14 15 16 15 14 13 13 13 13 12 12 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 13 13 14 14 14 14 12 11 11 10 9 8 7 7 6 5 5 5 5 5 7 11 14 15 14 10 8 9 10 11 11 11 11 11 12 12 12 11 9 8 7 8 9 10 nan
nan 14 15 16 16 15 14 13 12 12 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 13 15 16 16 15 14 13 13 12 10 8 7 7 7 6 6 5 6 7 10 13 15 14 12 10 9 10 11 11 11 10 11 11 11 11 11 10 9 8 8 8 9 9 nan
nan 17 17 16 15 14 13 12 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 13 15 16 17 16 15 15 15 14 11 9 8 7 7 6 6 6 7 9 12 14 14 13 11 10 11 11 11 11 10 10 10 9 9 8 9 9 10 9 9 8 8 8 nan
nan 18 17 15 13 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 14 16 17 17 16 16 15 13 11 9 8 7 6 6 6 6 8 10 12 13 12 11 11 11 11 12 12 12 11 10 8 6 5 6 8 10 12 11 9 7 7 7 nan
nan 17 15 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 13 14 16 17 18 17 16 13 10 8 7 7 6 6 6 7 8 10 11 11 10 10 10 10 11 12 13 12 11 9 7 5 5 8 10 12 13 11 8 6 7 8 nan
nan 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 10 11 11 12 12 12 12 12 11 10 10 10 10 10 11 12 13 15 17 19 19 18 14 11 8 7 6 6 6 6 7 8 9 9 9 10 10 10 10 11 12 13 12 10 9 7 7 8 10 11 11 11 8 6 6 7 7 nan
nan 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 11 12 13 15 17 19 20 19 16 12 9 7 6 5 6 6 7 8 8 8 9 10 11 12 12 11 11 11 10 9 8 8 8 9 9 9 8 8 8 8 8 7 6 nan
nan 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 13 13 12 12 11 10 10 9 9 10 11 11 12 13 15 17 18 19 19 17 14 10 7 6 5 5 6 7 8 8 8 9 10 13 13 13 12 11 9 8 8 8 9 9 8 8 7 8 9 10 11 10 8 7 nan
nan 10 10 11 11 11 11 11 10 10 10 9 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 10 11 11 12 13 14 15 16 17 17 17 14 11 9 7 5 5 5 7 8 8 8 9 11 14 13 12 11 9 7 7 8 10 11 10 10 9 9 11 12 13 12 10 8 10 nan
nan 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 12 13 14 13 13 14 15 15 14 12 10 8 6 5 5 6 7 8 8 10 12 13 12 11 9 7 7 8 10 11 12 12 11 11 11 13 13 12 10 9 9 11 nan
nan 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 14 15 15 14 12 10 8 6 5 5 6 7 8 10 12 13 11 10 8 8 8 9 10 11 12 12 11 11 12 12 12 11 9 9 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
CAPE
3 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 2 3 6 12 14 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 3 3 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 0 0 0 0 0 0 1 3 3 13 18 12 6 1 0 0 0 0 0 0 0 0 0 1 1 9 20 20 10 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 3 6 12 14 10 4 1 0 0 0 0 0 0 0 0 1 1 2 19 35 34 18 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 1 3 5 4 1 0 0 1 1 1 1 2 2 2 3 2 2 10 15 14 9 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 3 5 6 5 3 4 2 3 5 5 5 5 6 6 6 6 5 3 3 3 4 6 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 9 8 7 6 7 9 10 9 9 9 9 9 8 7 6 4 4 4 5 5 5 5 4 2 2 1 1 0 0 0 1 0 2 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 2 4 7 9 13 16 8 8 9 11 12 13 11 11 12 12 11 10 10 9 8 8 7 6 7 8 7 6 4 3 3 3 2 1 1 2 3 5 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 8 11 10 10 8 7 9 10 11 12 13 13 14 14 14 16 16 16 14 12 12 11 10 9 8 8 8 7 7 5 4 5 6 6 6 6 8 9 10 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 7 6 7 11 17 16 12 11 12 15 18 18 16 14 12 11 13 14 15 17 18 17 17 14 14 14 15 14 10 10 11 11 11 9 8 8 10 11 12 14 17 19 20 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 12 10 9 10 13 14 12 12 15 17 16 17 22 21 18 15 14 14 13 14 15 15 13 12 11 13 15 16 17 15 15 15 15 15 14 16 18 27 36 40 33 34 35 35 34
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 12 19 26 24 19 15 13 13 13 14 18 19 19 19 18 19 25 25 22 20 20 19 16 16 16 14 12 10 10 11 12 14 16 18 19 20 21 24 26 26 34 52 71 77 61 55 51 48 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 22 26 28 25 20 16 15 17 20 22 22 22 23 26 30 30 29 28 27 27 27 26 23 22 21 19 19 17 15 15 18 20 22 24 25 25 28 31 34 33 41 61 86 95 76 64 57 52 49
0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 19 26 29 28 27 22 18 17 19 24 23 23 24 26 29 34 40 40 39 37 34 31 32 29 26 26 28 28 29 30 31 32 33 33 31 30 31 31 30 29 29 30 34 45 61 61 52 48 47 46 45
0 0 0 0 0 0 0 0 0 0 0 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 6 11 19 27 30 30 28 26 24 24 26 27 26 22 22 25 28 32 36 44 46 44 39 32 27 32 31 31 33 36 37 40 42 45 41 32 27 23 23 23 22 18 15 13 12 13 18 21 23 24 26 30 34 33
0 0 0 0 0 0 0 0 0 0 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 9 14 21 27 32 33 30 26 21 18 20 23 25 22 21 23 27 29 28 30 35 36 35 33 29 26 30 31 32 34 32 28 25 17 9 3 5 7 5 4 2 2 3 3 2 1 1 3 5 7 12 17 21 22 20
0 0 0 0 0 0 0 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 8 13 18 24 31 37 40 38 33 26 15 17 19 20 22 24 25 27 30 29 25 24 26 27 29 28 25 22 20 17 13 8 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 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 1 1 2 4 6 10 16 21 26 30 36 38 35 30 25 22 11 10 13 17 24 27 27 29 30 29 27 25 24 23 20 15 8 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 1 1 1 3 5 7 9 12 17 22 26 27 26 29 30 28 26 24 21 14 12 17 24 29 25 28 29 29 28 26 23 18 13 7 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 1 1 1 1 2 2 2 1 0 0 1 2 3 4 7 9 12 16 23 29 32 29 21 15 15 19 22 23 21 20 18 18 21 25 30 34 35 33 29 25 21 13 7 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 1 4 6 7 8 9 9 7 5 3 1 1 2 4 6 9 12 15 19 26 33 34 30 23 15 8 7 8 12 16 13 15 20 26 31 35 42 44 41 35 26 16 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 2 5 11 17 21 20 18 15 9 5 3 2 5 9 12 15 19 22 26 31 33 32 26 19 12 7 7 8 6 8 14 18 21 29 38 44 46 52 48 37 26 16 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 1 4 9 15 19 22 19 15 11 8 7 7 9 13 18 24 31 37 39 37 32 28 22 16 13 11 12 16 13 12 14 18 23 30 41 48 49 45 39 29 17 9 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 2 5 9 11 11 13 11 9 9 10 13 17 22 28 36 42 47 51 51 44 32 24 19 19 23 28 30 37 33 27 24 25 30 36 41 42 39 31 21 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 1 2 3 2 0 0 0 0 1 3 4 5 7 7 10 12 13 16 22 28 35 42 48 53 54 55 58 59 52 38 33 37 41 47 54 57 54 46 38 34 32 31 30 28 25 19 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
2 3 5 6 3 1 0 1 2 4 3 4 7 8 12 20 26 28 31 40 49 53 54 54 55 56 64 69 73 75 74 73 69 65 63 61 58 55 50 44 38 34 29 22 15 9 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
4 7 8 9 7 5 3 4 7 10 8 11 17 23 31 39 46 50 52 54 56 54 55 60 67 68 77 80 81 81 78 70 62 61 62 63 60 56 51 43 34 26 18 11 6 3 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
6 7 7 9 8 8 11 16 22 28 29 33 37 42 49 56 58 58 55 52 51 53 61 74 86 91 90 83 72 60 50 45 48 54 61 64 62 57 50 37 22 12 8 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
12 9 5 6 7 12 23 36 45 49 48 47 48 51 55 56 57 57 55 55 60 67 79 91 97 99 85 68 55 48 49 56 62 66 68 65 55 42 29 17 7 3 4 4 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
20 17 12 12 18 27 37 45 46 46 46 46 48 52 54 48 46 46 48 55 65 73 78 77 66 57 49 45 48 59 74 88 91 83 67 51 33 17 8 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 23 23 26 32 37 41 42 37 35 40 47 50 47 43 36 33 34 40 48 56 58 54 46 37 29 30 44 70 102 119 117 99 70 39 20 9 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
23 22 24 31 36 37 38 37 33 31 32 35 36 33 28 25 24 25 27 26 30 30 29 29 30 37 57 91 125 140 127 95 58 25 6 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
18 17 20 33 33 31 30 29 27 23 18 15 15 16 20 22 23 23 24 21 22 22 27 41 69 108 144 159 149 120 82 46 18 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 0 0 0 0 0 0 0
11 9 12 30 27 22 18 18 18 16 13 12 13 17 19 20 18 16 14 10 10 26 59 105 150 169 164 138 97 57 30 12 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 0 0 0 0 0 0 0 0
4 4 7 14 16 16 15 15 17 15 15 16 16 15 14 12 12 10 8 10 28 74 133 179 185 154 112 68 32 11 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
4 4 7 14 21 23 21 16 14 14 16 17 19 19 17 15 14 16 22 45 93 151 188 177 136 87 47 20 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 0 0 0 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 7 13 16 15 12 9 4 6 9 13 16 18 22 27 32 41 59 104 157 183 169 117 67 33 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 3 6 8 6 2 0 0 3 6 12 19 25 36 49 62 76 94 139 161 148 107 58 25 10 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
1 1 2 2 3 2 2 2 4 10 16 22 32 48 63 76 85 89 92 114 111 86 52 20 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 16 24 30 36 48 71 91 97 88 71 63 66 58 40 20 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 2 4 9 16 27 32 39 52 74 99 110 101 78 53 42 35 26 15 6 0 0 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 1 2 2 2
1 1 0 1 3 5 7 10 20 32 53 82 114 136 129 101 67 41 26 17 9 4 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 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 1 1 1 1 1 2 3 3 4
6 4 2 2 3 4 7 14 31 57 90 122 144 144 115 75 39 17 9 6 4 3 4 5 4 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 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 1 1 2 2 3 3 4 4 5
14 13 12 10 9 11 20 44 75 107 126 129 117 95 63 33 12 4 3 3 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 2 1 3 7 10 10 9 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 1 1 1 2 2 3 4 5 6
21 22 22 25 29 38 55 83 103 106 92 68 48 37 24 14 7 4 4 3 3 3 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 3 5 5 6 9 14 17 13 10 8 5 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 1 1 3 4 6 7
25 30 37 52 66 79 89 96 85 61 35 17 12 16 15 11 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 7 11 13 18 21 22 19 14 13 12 12 10 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 1 2 4 5 8
47 61 80 98 102 99 92 81 66 48 31 20 14 14 13 10 7 6 3 1 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 8 9 9 8 13 20 24 25 28 25 20 15 14 16 20 26 32 33 21 10 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 1 2 3 5 8
77 91 104 107 99 85 69 53 44 30 18 12 10 10 9 9 9 8 4 1 0 0 0 0 0 0 0 0 2 5 7 6 8 12 16 19 19 18 16 22 29 34 34 31 23 15 12 13 18 27 39 49 49 39 22 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 1 2 4 5 7
93 99 101 95 80 61 41 27 20 14 11 11 11 9 8 7 4 2 0 0 0 0 0 0 0 0 0 1 5 9 11 11 14 19 24 25 21 19 19 21 25 28 29 25 20 15 13 14 18 27 38 47 41 25 9 0 0 0 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 2 4 6 8
77 73 68 57 41 25 13 10 8 8 9 10 9 4 1 1 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 13 14 16 18 18 16 16 18 21 23 23 22 22 22 21 19 16 19 24 29 36 33 16 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 1 2 2 2 1 0 2 4 5 7
35 28 22 15 8 4 3 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 14 14 14 13 12 13 13 16 20 23 23 23 24 24 23 21 18 14 13 14 20 30 33 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 2 3 4 6 7
7 4 3 2 2 2 1 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 12 14 14 13 12 12 13 14 19 23 24 22 21 18 16 15 16 12 7 4 6 13 27 29 19 5 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 1 1 1 2 3 3 3 4 5 6 6
4 2 1 1 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 10 11 12 13 13 12 11 11 14 20 24 26 24 21 16 14 14 15 11 8 6 6 8 22 23 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 3 3 4 4 5 4 5 7
1 1 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 9 11 10 9 8 9 12 14 14 13 13 15 19 22 23 22 17 12 10 11 12 11 10 10 11 12 21 21 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 3 3 3 4 4 4 3 4 6
1 2 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 0 1 2 3 7 10 13 16 16 14 11 8 8 10 16 18 17 16 17 17 18 19 19 17 14 10 8 8 9 10 9 11 17 19 20 18 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 1 1 1 1 2 1 2 3 5
3 5 6 4 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 5 8 13 15 16 17 16 14 13 11 11 13 18 21 22 21 19 17 18 19 20 18 15 12 9 7 7 9 8 9 16 15 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 2 1 0 0 0 1 3 3 3 4 5
3 3 3 2 1 0 0 0 0 1 1 1 1 1 1 2 3 5 7 9 12 15 16 15 14 14 15 17 17 17 18 20 22 22 20 18 18 20 22 24 22 18 14 10 7 5 6 6 6 8 6 6 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 2 1 1 0 0 0 1 2 4 4 4 4 5