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 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 10 11 13 15 16 16 13 9 7 5 4 2 2 4 4 5 5 6 6 5 6 7 7 6 3 0 -1 -1 -0 1 2 3 4 5 5 6 6 6 7 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 6 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 5 5 4 nan
nan 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 13 15 17 17 14 11 8 6 5 5 4 4 4 4 3 3 4 4 4 5 7 7 6 4 2 0 -0 -0 1 3 4 4 5 5 6 6 6 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 8 7 7 6 6 6 5 5 4 5 5 6 6 7 7 7 7 6 6 6 6 6 5 nan
nan 8 7 6 5 4 3 3 3 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 13 16 17 16 12 8 7 6 6 6 6 6 6 5 4 3 4 4 4 6 7 6 5 3 2 0 -0 -0 2 3 4 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 5 nan
nan 9 7 6 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 11 14 15 14 9 7 6 6 7 7 7 7 7 6 5 4 5 5 5 6 6 6 3 1 -0 -0 -0 1 2 3 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 6 6 6 nan
nan 9 7 5 4 3 2 2 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 13 13 11 7 6 6 7 7 7 7 7 8 7 6 6 6 6 6 6 6 5 3 0 -0 -0 0 1 3 4 5 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 nan
nan 9 7 5 3 3 2 2 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 13 14 13 10 8 7 8 8 8 8 7 8 8 8 8 7 6 6 6 6 6 4 2 1 1 0 0 2 3 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 6 nan
nan 8 6 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 14 14 13 11 10 9 8 8 8 8 7 7 8 9 9 8 6 5 6 6 5 2 1 1 1 1 1 3 4 6 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 6 6 6 7 7 6 nan
nan 7 5 4 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 12 13 13 12 11 9 6 6 7 8 7 7 8 8 8 8 7 6 6 6 4 3 2 2 2 2 3 4 6 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 6 6 6 6 6 nan
nan 6 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 6 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 10 11 12 12 10 7 5 5 6 7 7 6 6 7 7 7 7 7 7 7 7 6 5 4 4 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 6 nan
nan 4 4 3 3 2 2 2 2 1 1 1 2 2 2 3 3 4 4 5 5 6 6 6 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 8 10 11 10 9 6 5 5 6 7 6 6 5 5 6 6 7 7 7 8 9 9 8 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 9 9 8 8 7 7 7 6 6 6 6 6 5 6 6 6 6 6 nan
nan 3 2 2 1 1 1 1 1 1 1 1 1 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 6 5 5 6 6 6 5 5 5 5 6 6 6 6 5 5 6 6 6 5 6 6 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 4 3 3 2 1 1 1 1 1 1 2 2 3 3 4 4 5 5 5 5 5 5 6 6 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 8 8 9 9 9 10 10 10 10 11 11 10 9 7 7 7 7 6 6 5 5 5 6 6 6 6 5 3 2 2 3 4 5 5 6 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 7 6 4 3 3 2 2 3 3 4 4 5 5 5 6 6 6 6 6 6 6 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 8 8 9 10 10 10 11 13 13 13 12 11 10 9 7 7 8 8 7 6 6 5 6 7 7 6 6 5 3 2 2 3 4 5 5 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 nan
nan 11 11 11 10 9 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 13 14 15 15 14 12 10 8 7 7 7 8 7 6 6 6 6 7 7 6 6 4 3 2 3 4 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 10 10 9 8 8 7 7 7 7 7 7 6 6 6 nan
nan 10 10 11 11 11 11 10 10 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 12 13 15 16 16 15 12 11 9 7 6 6 6 6 6 6 7 7 8 8 7 5 2 0 1 3 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 11 11 11 12 12 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 nan
nan 8 7 7 6 7 8 8 9 9 9 8 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 13 15 16 16 15 14 12 11 9 7 6 5 5 5 6 6 7 8 8 8 6 3 -1 -1 1 3 5 6 6 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 9 8 8 7 7 7 7 7 7 7 7 nan
nan 6 5 3 2 3 4 5 7 8 8 8 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 15 17 18 15 13 11 10 9 8 6 6 6 6 6 6 7 7 7 7 7 4 1 -1 -1 2 4 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 9 8 7 7 6 6 6 6 7 6 6 nan
nan 3 2 1 1 2 4 6 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 9 10 10 11 11 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 14 17 18 17 13 9 7 7 8 7 7 7 7 7 7 7 7 7 7 6 5 2 -0 -1 0 3 4 5 7 7 8 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 6 6 nan
nan 2 1 1 2 3 6 7 6 5 5 6 7 7 7 6 5 5 4 4 5 5 5 5 5 5 6 7 8 9 10 11 11 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 11 11 11 12 13 16 17 17 13 9 7 6 7 7 7 8 8 7 7 7 7 7 7 7 6 4 1 -1 -1 1 3 5 6 7 8 9 9 10 9 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 6 nan
nan 3 3 3 3 4 5 6 5 5 5 6 6 7 7 7 6 5 5 5 5 5 5 5 5 6 7 8 10 11 12 13 13 13 13 12 12 13 12 10 8 7 7 8 9 9 9 10 10 11 11 13 15 17 18 14 10 7 6 7 8 8 7 7 7 7 7 7 7 7 7 7 5 3 -0 -1 0 2 4 5 7 8 9 10 10 10 10 10 10 11 11 12 12 13 13 12 12 13 12 12 12 12 11 11 10 10 9 9 8 8 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 7 7 6 5 5 5 5 5 5 5 5 6 6 7 8 8 7 6 6 5 5 5 5 6 7 9 11 12 13 13 13 13 13 13 13 13 14 13 10 7 5 5 6 7 8 8 9 10 11 12 14 17 18 16 12 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 5 3 0 0 2 3 5 6 7 8 9 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 nan
nan 9 9 8 7 6 6 6 6 6 6 6 7 7 9 10 10 9 8 7 6 6 6 7 8 10 12 13 14 14 13 13 13 13 13 14 14 13 12 9 7 5 4 5 5 5 6 8 10 12 14 16 18 16 13 9 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 6 5 3 0 0 2 4 5 7 8 9 10 11 11 12 12 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 nan
nan 8 9 9 9 8 7 7 7 8 8 9 9 10 11 11 12 11 10 9 9 9 9 10 11 13 13 13 14 13 12 12 12 12 13 14 13 11 10 9 7 6 5 5 4 3 3 5 9 12 14 16 15 13 10 8 8 7 7 7 8 9 10 9 8 7 8 8 8 7 7 6 4 1 -1 0 2 4 6 7 8 9 9 10 11 11 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 14 13 13 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 nan
nan 8 8 9 10 10 9 9 9 10 10 11 12 13 13 14 13 12 12 12 12 12 12 13 14 14 13 13 12 12 11 10 11 11 12 12 10 9 8 8 8 7 7 7 5 4 3 5 8 11 12 12 11 9 8 8 8 8 8 8 9 10 10 9 7 7 8 8 8 7 7 6 3 -0 -1 1 3 5 7 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 11 11 12 12 12 12 11 11 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 nan
nan 9 9 10 10 10 11 11 11 11 12 13 14 14 15 14 13 12 12 13 13 13 14 14 14 12 12 11 11 10 9 8 8 9 9 9 8 7 7 7 7 8 8 8 7 6 5 6 8 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 7 8 8 8 7 7 6 4 1 -0 0 2 4 6 7 8 8 8 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 8 nan
nan 9 9 10 10 10 11 11 11 12 12 12 12 13 13 12 11 10 10 10 11 12 13 12 10 8 8 8 9 9 7 5 5 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 8 9 9 10 9 8 7 7 8 8 8 7 6 6 3 -0 -1 1 3 5 6 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 9 8 8 9 10 10 10 nan
nan 9 9 8 9 9 10 10 10 10 10 10 9 10 10 10 9 9 8 7 6 7 9 8 6 4 3 4 5 7 7 5 5 6 6 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 3 -0 -1 1 3 5 7 8 9 9 9 9 9 9 9 9 9 10 10 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 10 10 10 10 10 11 11 11 11 11 10 10 9 10 11 12 12 12 nan
nan 8 7 7 8 9 9 9 8 8 8 7 7 8 9 9 8 8 7 5 3 3 5 6 5 4 3 3 4 6 7 7 7 6 6 7 7 6 5 6 7 8 8 7 7 8 8 8 8 8 8 8 8 9 8 7 7 8 8 8 8 7 7 7 7 7 8 7 8 8 7 3 0 -0 1 4 6 7 8 9 9 9 10 10 10 10 10 10 10 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 10 10 11 12 12 12 12 12 11 11 11 12 12 13 13 12 nan
nan 7 7 7 8 9 10 9 7 7 7 7 7 8 8 8 8 8 7 6 4 3 5 7 7 6 5 4 5 6 7 7 7 7 7 8 7 6 5 6 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 6 2 -0 -1 2 5 7 8 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 12 12 12 13 13 13 13 12 nan
nan 6 7 7 8 9 10 9 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 8 8 9 8 7 7 7 8 8 7 6 6 7 8 8 8 7 7 7 8 9 9 8 7 7 7 7 8 7 7 7 7 8 8 8 8 7 5 1 -1 -0 3 6 7 8 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 14 14 14 13 13 13 13 13 12 12 12 12 12 13 13 14 14 15 14 14 13 14 13 13 12 12 nan
nan 6 6 7 8 9 9 9 9 9 8 8 8 9 10 9 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 9 8 6 6 6 7 7 8 7 6 6 6 7 8 9 9 8 7 6 7 7 8 7 7 7 8 8 8 8 7 4 1 -0 2 4 6 8 9 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 15 15 16 16 17 17 17 17 17 18 17 17 17 16 16 16 15 15 15 14 14 14 14 15 15 16 16 17 17 16 15 14 15 15 14 13 13 nan
nan 7 7 7 7 8 9 9 10 10 10 9 8 9 9 9 9 8 7 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 7 6 6 6 6 7 8 8 7 6 7 7 7 8 9 9 8 6 6 7 8 7 7 7 7 8 8 8 7 5 3 2 3 5 6 8 9 10 11 11 12 13 13 13 13 13 13 13 14 14 14 13 14 14 15 15 16 17 17 18 19 19 19 20 20 20 20 20 19 19 19 19 19 19 18 18 18 18 19 19 20 21 21 21 20 19 17 18 18 18 17 16 15 nan
nan 8 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 8 7 6 6 7 7 8 8 8 8 7 7 6 6 7 7 8 7 5 5 6 7 8 8 7 7 7 6 6 6 7 8 8 7 7 7 6 7 9 10 8 6 6 6 7 7 6 6 7 8 8 8 7 6 5 4 4 5 6 7 9 10 11 12 13 13 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 17 18 18 19 19 20 20 20 20 21 21 21 22 22 22 21 21 21 21 22 24 25 25 26 26 26 24 23 23 23 23 22 20 19 17 nan
nan 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 7 7 6 6 6 6 7 8 8 7 5 6 7 8 8 8 8 8 7 6 6 6 7 8 8 8 7 6 7 9 10 8 5 5 5 6 6 6 6 7 8 8 8 8 7 6 4 3 4 5 7 8 10 11 12 13 14 15 15 16 16 16 17 17 16 16 15 15 15 15 15 15 15 15 15 15 16 16 16 17 17 18 18 19 20 20 21 21 21 21 21 21 22 24 25 26 27 27 28 27 27 28 28 27 25 23 22 21 nan
nan 8 8 8 9 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 7 6 5 6 8 8 8 7 6 7 8 8 7 5 4 4 5 6 7 7 8 8 8 8 8 8 7 4 2 2 4 6 8 10 11 12 14 15 15 16 16 17 17 18 17 16 15 15 15 14 13 13 12 12 11 11 11 11 11 12 12 13 13 13 14 15 15 16 17 17 16 16 17 18 19 20 21 22 23 24 25 26 28 28 28 26 25 25 25 nan
nan 8 8 9 9 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 7 7 7 8 7 7 6 7 7 7 7 6 6 6 7 9 9 8 8 8 8 7 7 7 8 8 7 5 6 7 8 8 7 7 7 7 7 7 5 4 4 4 6 7 8 8 8 8 8 8 9 7 4 2 1 3 6 8 10 11 13 14 15 16 16 17 17 18 17 16 15 14 13 13 12 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 11 11 12 13 15 16 17 18 20 22 23 24 23 24 25 26 nan
nan 8 9 9 9 9 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 6 6 6 7 9 10 9 8 8 7 6 6 7 8 8 7 6 5 6 7 7 7 7 7 8 7 6 5 5 6 5 6 7 9 9 8 8 8 9 9 7 4 1 0 2 5 8 10 12 13 14 15 16 16 17 17 17 16 14 13 12 11 10 9 9 9 8 8 8 8 8 7 7 8 7 8 8 8 8 7 8 8 7 7 7 7 6 6 6 7 7 8 9 9 10 11 12 14 15 16 17 18 21 nan
nan 9 9 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 8 7 7 6 6 6 8 8 8 6 4 4 5 6 6 7 8 8 8 7 5 5 6 7 7 7 8 9 9 9 8 8 9 9 7 5 3 1 1 4 7 10 12 13 14 15 15 16 17 16 15 14 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 7 8 9 10 11 nan
nan 8 9 9 9 9 8 7 6 5 6 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 6 5 5 5 6 8 9 8 7 6 6 6 7 7 7 8 9 9 7 4 2 3 5 5 6 8 8 7 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 8 7 4 2 0 2 6 9 11 12 13 14 15 16 16 15 13 12 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 6 5 5 4 4 3 3 3 4 4 4 5 5 nan
nan 8 8 8 8 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 4 4 5 6 8 7 6 6 6 6 7 7 7 8 9 10 9 6 4 4 4 5 6 7 7 6 4 5 6 8 8 8 8 8 8 9 9 9 9 9 9 8 7 5 2 -1 -0 4 7 9 11 12 13 14 14 14 13 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 nan
nan 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 5 4 5 6 7 6 6 6 6 6 6 6 7 9 10 10 9 8 7 7 6 7 7 7 6 5 6 6 7 8 9 8 8 8 8 9 9 9 9 9 8 7 6 2 -2 -2 1 5 7 9 10 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 6 6 6 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 5 4 5 6 6 6 6 7 7 6 6 6 7 8 9 9 10 10 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 8 9 9 9 8 7 4 -0 -2 -1 2 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 8 9 9 9 8 7 6 3 0 -2 -2 -0 3 5 5 5 5 4 5 5 6 6 6 7 7 6 6 6 7 6 6 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 nan
nan 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 7 7 7 7 7 6 6 7 8 9 9 9 8 7 6 7 7 8 8 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 9 8 8 8 6 3 -0 -4 -4 -2 1 2 2 2 2 2 3 5 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 6 6 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 9 10 11 11 10 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 6 3 -1 -4 -4 -3 -2 -1 -1 -1 -0 1 3 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 7 7 6 6 6 6 6 6 8 9 10 10 9 9 9 9 9 10 10 11 10 10 10 10 10 11 12 12 11 9 8 8 8 8 8 8 9 10 11 11 11 9 8 7 8 8 8 8 8 9 9 10 9 9 10 10 10 9 8 7 8 8 8 7 7 8 8 9 9 9 9 9 9 9 8 7 6 4 0 -3 -4 -5 -5 -5 -5 -4 -1 1 3 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 6 6 6 7 9 10 11 11 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 11 9 8 8 9 9 8 8 8 9 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 8 8 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 5 3 0 -3 -6 -8 -9 -8 -5 -1 1 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 nan
nan 7 7 7 7 7 7 6 6 6 8 9 11 11 10 9 9 9 9 10 10 9 8 8 8 9 9 10 10 9 8 7 8 8 8 7 6 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 5 3 -1 -6 -10 -11 -8 -5 -2 1 4 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 nan
nan 6 6 6 7 7 6 6 6 6 7 9 10 10 9 8 8 7 7 8 8 7 7 7 7 8 9 10 9 8 8 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 8 8 6 4 -1 -7 -10 -11 -10 -6 -2 2 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 nan
nan 6 6 6 7 6 5 5 5 6 8 9 10 9 9 8 8 7 7 7 7 7 7 6 7 8 9 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 8 8 7 7 7 8 8 7 7 8 8 8 8 9 9 8 8 8 9 10 10 9 8 8 8 8 8 8 7 4 -0 -5 -10 -12 -12 -8 -2 2 4 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 nan
nan 6 6 6 6 6 5 5 6 8 10 11 10 9 9 8 8 8 8 7 7 7 7 6 6 7 8 9 9 9 8 8 8 7 7 7 8 7 7 7 7 7 7 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 7 7 8 8 7 5 1 -4 -10 -13 -12 -8 -3 1 4 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 6 6 6 5 5 6 6 8 10 11 11 10 9 8 8 8 9 8 8 8 7 7 6 6 6 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 7 7 8 9 10 9 8 7 7 7 7 7 7 8 9 8 6 3 -2 -9 -12 -12 -9 -4 0 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 nan
nan 7 7 6 6 6 6 7 9 11 12 10 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 9 8 8 8 8 7 6 7 7 9 10 9 8 8 7 7 6 6 7 8 9 9 8 7 4 -1 -7 -12 -13 -8 -3 0 1 3 4 4 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 nan
nan 7 7 7 7 7 7 8 10 11 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 7 7 8 8 8 7 6 6 6 7 8 9 8 8 8 7 6 6 6 7 9 9 9 8 8 8 7 7 6 6 7 8 9 9 8 7 5 -1 -8 -12 -10 -6 -2 -0 1 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 nan
nan 7 7 7 6 6 6 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 7 7 8 8 7 7 7 6 6 7 8 7 8 8 9 8 6 6 6 7 8 9 9 8 8 8 7 7 6 6 6 7 8 9 9 8 7 3 -3 -9 -10 -7 -3 -1 -0 1 1 1 1 2 3 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 nan
nan 7 7 6 6 6 6 8 10 10 9 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 7 8 7 7 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 7 6 6 7 7 8 9 9 8 8 6 2 -4 -7 -6 -3 -2 -0 1 1 1 0 0 1 2 3 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 10 10 nan
nan 7 6 6 6 6 7 9 11 11 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 5 1 -2 -3 -3 -2 -0 2 3 2 1 -0 -0 0 1 3 4 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 nan
nan 7 6 7 7 8 8 9 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 7 7 6 5 5 6 7 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 5 5 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 5 3 1 -0 -0 2 4 5 4 2 -0 -2 -1 -0 1 3 4 5 5 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 12 12 12 11 11 nan
nan 6 7 7 8 8 8 9 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 6 5 5 5 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 8 9 9 9 7 6 7 6 5 4 3 5 8 7 5 2 -1 -2 -2 -1 -0 1 2 4 5 5 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 12 12 12 12 12 11 11 nan
nan 7 7 8 8 8 8 9 10 9 8 8 7 7 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 10 10 9 8 7 7 7 6 6 6 6 6 7 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 9 8 8 8 7 6 6 7 7 7 7 8 8 9 9 8 6 7 8 8 7 7 7 8 9 8 5 2 -2 -3 -2 -1 -1 -1 0 2 4 5 5 6 6 7 7 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 nan
nan 7 8 8 8 7 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 10 9 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 9 9 7 7 7 8 8 9 9 9 9 8 8 6 2 -1 -1 0 0 -1 -2 -2 -0 2 4 5 6 6 7 7 7 8 8 8 9 10 10 11 11 12 12 12 12 11 11 11 11 nan
nan 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 9 11 11 11 10 10 9 8 8 7 8 9 10 10 10 10 10 10 9 9 10 10 10 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 7 8 8 8 8 9 9 10 9 8 7 6 4 2 3 3 2 0 -2 -2 -2 0 2 4 5 6 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 nan
nan 7 7 6 7 8 9 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 8 10 12 12 11 10 9 8 8 8 8 9 10 11 11 11 10 10 9 10 10 11 11 10 9 7 6 6 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 8 7 7 8 8 9 9 10 10 9 7 7 8 9 8 8 9 9 10 9 9 8 7 6 6 6 5 3 2 0 -1 -2 -1 1 2 4 5 6 7 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 8 9 11 10 9 9 8 8 8 8 10 11 11 11 11 10 9 9 10 11 11 10 10 10 10 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 7 8 9 9 10 10 8 7 7 8 8 8 8 9 10 10 10 9 8 7 7 8 7 6 5 5 3 1 -0 -0 1 2 3 4 5 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 6 7 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 6 5 6 7 8 8 8 8 7 7 8 9 11 12 11 10 10 9 9 9 9 10 10 10 10 11 11 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 9 9 9 8 7 7 8 8 8 9 9 10 10 10 9 8 7 8 8 7 7 7 8 6 4 2 2 3 5 6 5 4 4 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 8 8 7 7 7 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 11 10 10 9 8 6 5 5 6 7 7 6 6 6 7 8 11 12 11 10 9 8 8 8 9 10 10 10 10 11 11 10 9 9 8 8 8 8 7 7 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 8 7 7 8 8 7 7 8 8 8 6 5 5 7 10 10 8 5 2 1 3 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 9 7 6 6 6 6 6 6 6 6 7 8 10 11 11 9 9 9 8 8 8 9 9 10 10 10 11 11 10 9 9 9 8 6 5 6 9 10 10 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 7 6 6 7 7 7 7 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 10 12 11 8 3 -3 -4 1 7 9 9 9 9 9 8 8 8 8 8 9 9 9 9 nan
nan 8 8 8 7 7 7 8 8 8 7 7 7 6 7 7 8 8 8 7 7 7 8 8 9 9 10 11 11 10 9 8 7 7 7 7 8 7 7 7 8 9 10 10 10 10 10 9 8 8 9 8 8 9 9 11 11 11 10 10 9 8 5 4 5 8 10 10 9 8 8 8 7 8 8 8 7 5 5 6 7 8 8 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 4 -3 -10 -7 1 6 9 10 10 9 8 8 8 8 8 8 9 9 9 9 nan
nan 9 8 8 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 7 7 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 10 9 9 8 8 9 10 10 10 11 11 11 9 9 8 7 7 8 9 10 11 11 10 9 8 5 3 2 5 7 10 10 9 8 7 7 7 8 8 8 6 5 5 6 8 9 8 7 6 6 5 6 6 8 9 9 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 4 -1 -9 -11 -6 2 8 10 11 9 8 7 7 7 8 8 8 8 9 9 8 nan
nan 9 8 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 10 11 12 11 9 8 7 7 8 9 9 10 10 10 8 5 2 1 2 6 9 10 9 8 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 7 5 5 6 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 7 8 7 7 7 6 2 -4 -9 -7 0 6 10 11 10 8 7 6 6 7 7 8 8 8 8 8 8 nan
nan 9 8 8 7 8 8 8 8 8 9 10 9 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 9 8 8 8 8 8 8 9 9 11 11 10 9 9 8 8 8 8 9 9 8 6 3 1 1 5 9 12 11 8 7 7 7 6 7 7 7 6 7 7 7 6 7 8 9 8 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 5 1 -4 -4 1 8 12 13 11 9 7 5 5 5 6 6 7 7 8 8 7 7 nan
nan 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 9 10 11 11 11 11 10 8 7 7 7 7 5 3 2 4 8 12 13 11 9 8 7 7 6 7 7 7 7 7 6 6 6 6 8 9 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 5 2 1 5 11 16 17 15 13 10 8 5 4 4 5 6 7 7 7 7 7 6 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 6 6 8 8 7 7 8 9 10 11 12 11 9 7 7 7 7 6 5 5 8 11 13 13 11 9 8 7 8 8 8 9 8 7 6 5 5 5 7 8 8 8 7 6 7 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 7 6 7 7 7 7 8 13 18 19 17 15 14 12 9 5 3 2 4 5 6 7 7 6 6 6 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 6 7 8 9 9 7 6 6 8 9 8 7 7 7 8 9 10 11 10 8 7 7 8 7 6 7 10 12 12 11 9 8 8 8 9 9 10 10 9 7 5 4 5 7 8 8 7 6 6 7 7 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 9 11 13 14 14 14 14 14 12 9 5 1 1 3 5 6 6 6 6 6 5 nan
nan 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 6 8 10 10 10 8 7 7 8 9 9 9 8 7 6 7 8 8 9 8 7 7 7 7 7 8 10 11 10 9 8 8 9 10 10 9 9 9 8 6 5 5 6 7 8 7 6 6 6 7 7 8 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 9 9 9 8 7 7 8 9 9 9 9 10 11 11 11 11 8 4 -0 0 2 4 5 6 6 6 6 5 nan
nan 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 8 7 8 9 10 10 9 8 8 8 9 10 10 9 7 5 5 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 10 11 12 10 9 9 8 7 6 5 5 7 7 7 6 5 6 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 7 6 6 6 4 -1 -2 -1 2 4 5 6 6 6 5 5 nan
nan 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 9 9 10 11 11 9 7 6 6 8 9 9 9 9 8 8 9 9 9 8 6 6 6 6 6 7 7 8 7 7 6 6 7 8 8 8 9 10 12 12 10 9 9 9 8 7 6 7 7 7 7 6 6 7 7 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 9 10 10 9 9 9 9 9 10 9 8 8 8 9 9 7 5 3 1 -1 -1 -3 -6 -6 -4 -1 2 4 5 6 6 6 5 5 nan
nan 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 10 10 10 9 9 10 11 12 9 6 4 4 6 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 5 5 7 8 8 8 8 10 10 10 10 10 10 9 9 8 8 8 8 7 6 6 7 8 9 9 9 8 6 6 6 6 7 8 9 8 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 7 8 8 6 4 2 0 -1 -2 -5 -7 -5 -2 0 3 4 6 6 6 6 5 5 nan
nan 8 8 8 9 9 8 8 8 8 9 10 10 10 9 8 9 9 8 8 8 7 7 6 6 7 7 9 10 10 9 10 10 11 11 8 4 3 3 5 7 7 7 8 8 8 7 7 7 8 9 10 10 9 8 8 9 10 9 8 6 4 4 5 6 7 7 7 8 7 8 9 10 11 10 9 9 9 8 7 6 6 8 9 9 9 10 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 8 7 7 8 8 8 7 6 3 1 -0 -0 1 3 5 6 6 6 6 6 5 nan
nan 8 8 8 8 9 8 8 8 8 8 9 10 10 9 8 8 7 7 7 8 8 9 9 8 6 6 8 10 11 11 11 11 11 10 7 4 3 4 6 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 11 11 11 10 8 6 5 6 6 6 7 7 7 5 5 7 9 10 10 9 8 8 7 6 6 7 9 10 10 9 9 8 8 7 7 7 7 6 7 7 7 8 8 9 8 8 8 9 10 10 10 9 8 7 7 7 8 8 9 10 11 12 14 15 13 9 5 2 0 1 3 5 6 6 6 6 6 6 nan
nan 8 8 8 8 8 9 8 8 8 8 9 10 10 9 8 8 7 7 8 8 9 10 10 9 8 7 9 10 11 11 11 12 12 10 8 6 5 6 6 7 7 7 7 7 7 7 7 8 8 8 9 10 11 12 12 13 13 13 13 12 10 8 8 8 7 7 6 5 5 5 6 7 8 7 7 6 6 5 6 7 8 9 10 9 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 8 8 8 8 9 10 10 11 11 12 13 14 12 8 4 1 -0 1 3 5 6 7 7 7 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
277 262 255 260 269 258 239 225 198 174 156 137 111 82 51 24 1 0 0 0 0 0 1 1 3 7 12 19 26 36 38 44 41 45 47 48 53 56 60 67 82 104 129 161 189 213 215 200 180 167 158 147 154 176 220 267 264 227 195 222 318 394 348 201 116 96 47 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 24 26 28 26 31 17 7 2 0 0 0 0 2 6 9 12 19 27 36 62 129 232 311 325 289 257 246 233 220 217 203 175 143 116 96 83 80 83 94 168 246 291 282 213 230 449 772 1105 1468
280 266 276 304 321 294 264 238 209 188 168 142 111 82 56 34 27 7 12 15 20 16 10 8 9 18 32 45 61 75 75 80 80 90 95 86 76 73 70 72 85 115 147 173 193 213 224 222 216 210 195 178 172 192 249 298 286 257 262 308 345 345 323 180 104 73 41 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 22 44 70 86 67 71 60 40 19 5 0 0 0 0 4 6 10 16 22 30 45 109 242 375 449 462 446 415 378 351 331 305 268 226 190 125 98 85 84 87 107 148 202 255 258 229 318 501 698 972
289 275 306 356 369 331 286 248 222 206 182 144 106 81 62 52 40 29 31 33 33 30 27 24 29 50 80 90 115 130 131 136 143 154 152 129 107 95 88 92 111 142 170 181 188 194 198 201 204 218 217 226 229 244 288 336 357 365 406 457 453 421 342 230 143 83 45 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 28 64 110 130 116 109 100 85 63 33 18 9 9 5 3 6 8 12 15 22 40 89 203 350 510 588 641 609 547 503 459 414 368 310 252 176 126 102 90 87 87 98 129 175 212 213 291 411 564 754
321 311 354 418 417 361 305 265 246 218 172 130 107 94 76 66 50 46 46 45 43 43 44 47 66 103 141 155 173 191 206 219 226 226 216 202 191 167 111 113 144 169 180 186 183 170 164 173 178 203 219 255 282 297 315 361 427 491 541 559 548 511 408 303 204 117 63 29 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 37 77 119 142 145 139 132 128 117 79 67 63 47 35 26 15 9 12 15 20 30 52 105 230 414 527 605 627 596 556 522 502 442 364 310 251 173 125 104 101 100 99 114 147 167 146 212 306 389 450
380 375 428 494 478 393 314 276 258 212 156 135 128 109 94 78 64 60 62 75 93 96 86 87 123 156 202 227 240 255 279 297 300 283 247 215 202 183 138 152 169 173 170 174 169 153 151 167 177 194 211 229 258 293 313 358 422 476 513 502 484 442 379 293 218 159 105 61 29 10 1 0 0 0 0 0 0 0 0 0 0 0 0 2 20 54 79 110 137 154 163 165 164 161 130 113 109 100 87 82 65 40 26 18 18 25 41 77 150 266 376 466 522 541 534 526 530 482 436 409 354 256 188 166 147 127 120 122 140 153 146 161 202 222 205
469 456 507 562 514 426 351 288 236 198 167 146 128 121 106 94 85 89 104 127 151 164 162 168 201 247 285 300 319 338 357 357 336 303 257 212 199 178 168 167 169 154 139 138 145 156 169 190 205 210 205 228 246 262 274 291 308 326 367 365 357 313 298 251 218 179 138 99 55 21 4 0 0 0 0 0 0 0 0 0 0 0 0 8 37 65 88 114 141 164 180 190 189 186 173 157 151 143 133 139 145 126 87 46 22 32 46 78 129 209 309 399 450 472 483 495 510 518 510 537 493 394 331 284 219 160 137 137 133 134 138 144 154 153 139
576 557 565 574 489 413 358 282 218 189 166 142 133 133 110 126 122 150 169 174 186 213 251 284 305 330 356 376 394 410 411 380 326 273 233 216 213 171 174 161 152 135 124 128 140 160 177 194 227 233 189 199 237 261 275 290 301 317 380 352 327 300 275 247 221 196 164 121 72 24 3 0 0 0 0 0 0 0 0 0 0 0 0 14 44 74 102 128 155 181 201 214 219 223 214 202 195 189 185 192 203 207 183 130 70 62 66 91 151 230 320 419 475 486 487 497 523 558 570 571 562 541 484 408 324 263 212 165 139 133 134 139 147 146 139
643 617 590 538 457 384 318 265 224 184 152 149 157 134 132 172 208 224 235 259 294 332 373 393 402 394 409 426 430 425 395 333 262 218 203 183 216 198 213 168 135 133 145 157 158 148 182 166 212 210 218 234 254 278 316 368 399 424 462 403 345 303 281 268 242 201 153 97 55 12 1 0 0 0 0 0 0 0 0 0 0 0 1 14 41 79 119 152 181 212 239 253 259 274 275 267 259 254 259 267 247 247 263 237 194 163 131 121 155 219 306 409 485 527 536 546 560 598 639 655 654 643 614 537 458 413 351 261 192 161 149 145 151 156 166
672 622 568 495 432 377 321 274 229 179 165 180 159 156 172 201 236 268 301 337 373 415 453 449 465 446 448 441 425 397 346 273 219 212 213 174 224 250 236 205 187 185 190 196 180 153 224 226 259 280 292 287 278 286 322 396 413 408 381 364 366 347 309 276 228 155 97 51 25 7 1 0 0 0 0 0 0 0 0 0 0 0 0 15 49 97 147 192 229 262 294 310 318 332 344 350 349 343 352 381 342 316 321 343 366 347 272 198 178 201 266 361 473 554 590 617 632 658 702 740 758 736 709 641 571 522 481 446 367 253 208 173 167 175 186
654 579 494 428 382 335 286 248 215 183 181 189 174 189 211 236 263 290 321 358 393 425 463 447 457 451 439 416 390 360 303 230 239 269 284 303 298 283 291 318 329 308 280 281 278 262 294 301 304 302 298 298 302 301 299 358 342 275 230 234 279 271 215 186 185 152 106 55 27 12 3 0 0 0 0 0 0 0 0 0 0 0 1 18 59 119 182 240 289 322 354 379 395 409 425 442 452 445 455 505 486 449 421 474 540 540 482 375 281 242 267 334 456 569 646 695 722 735 747 775 811 779 745 697 631 575 534 494 467 399 342 282 247 252 255
555 496 432 379 338 301 264 230 203 195 198 203 212 234 260 280 290 317 354 375 411 439 431 422 419 404 384 364 347 338 327 312 307 315 323 330 326 328 344 371 395 392 367 366 360 341 324 311 305 314 322 318 326 339 316 332 275 197 111 84 134 145 90 87 145 178 143 87 47 25 10 3 1 0 0 0 0 0 0 0 0 0 3 22 69 145 230 292 348 387 425 463 493 512 525 544 568 565 588 612 620 619 611 631 654 677 702 620 496 404 370 398 482 591 687 757 797 814 808 810 824 808 775 736 675 615 585 527 480 460 463 435 426 421 385
449 394 353 319 289 265 245 229 223 233 248 265 284 298 319 346 362 381 406 403 405 399 396 385 375 354 339 323 317 332 347 363 354 349 346 356 379 387 381 386 406 414 403 389 359 314 282 270 270 279 287 291 302 329 322 272 225 177 89 38 59 74 48 71 156 189 158 106 60 34 20 10 4 0 0 0 0 0 0 0 0 0 3 25 84 178 273 342 407 466 518 563 604 636 647 663 703 729 739 739 747 762 786 790 752 772 813 828 763 661 596 581 604 655 726 808 860 881 876 862 844 833 812 782 750 711 660 583 519 483 498 518 546 545 497
460 397 347 316 298 283 276 277 287 307 322 335 353 357 372 391 411 429 425 416 407 401 373 347 332 323 316 310 314 331 343 356 366 363 361 357 365 377 383 390 403 402 395 383 356 272 238 237 245 255 250 234 231 269 317 209 193 151 105 80 70 98 128 135 167 159 132 91 55 32 18 8 1 0 0 0 0 0 0 0 0 1 8 39 122 226 319 404 484 561 626 678 727 775 798 824 851 886 891 878 871 868 848 821 856 853 877 937 940 901 857 814 785 797 835 900 935 945 957 932 892 875 864 841 823 787 714 656 589 542 528 540 552 545 543
602 542 506 472 422 383 377 380 373 394 385 401 418 409 407 413 418 419 410 393 379 318 302 312 311 317 328 335 341 348 356 370 373 368 372 372 377 379 377 381 381 371 346 353 337 298 264 234 218 211 201 182 157 192 313 206 175 136 85 60 56 69 73 104 122 107 86 62 41 25 11 2 0 0 0 0 0 0 0 0 0 4 22 74 185 294 391 487 582 671 748 813 870 915 948 973 985 1028 1048 1015 954 926 952 980 994 929 925 971 1008 1020 1013 987 952 973 1011 1034 1031 1002 1012 1002 971 956 943 918 893 850 791 756 722 666 609 575 556 532 545
648 636 647 607 526 470 458 450 447 435 426 439 434 422 415 415 410 396 390 348 347 315 308 309 313 325 343 360 368 368 365 364 360 360 371 370 356 348 352 359 363 325 298 311 297 282 257 225 199 182 172 168 136 149 267 237 182 126 68 45 46 86 84 85 82 64 45 32 25 17 6 0 0 0 0 0 0 0 0 0 3 19 69 162 268 367 467 580 698 806 894 963 1007 1024 1050 1094 1113 1138 1168 1148 1051 966 1026 1068 1017 972 954 975 1002 1029 1081 1140 1151 1176 1169 1136 1114 1065 1049 1057 1038 1022 1018 988 955 918 872 837 809 772 725 684 650 609 591
488 442 407 403 414 419 423 494 520 472 453 446 442 438 412 382 374 356 312 323 318 312 309 313 325 343 364 380 377 365 350 341 336 343 358 363 346 328 331 344 347 291 285 283 263 241 220 200 178 157 149 153 144 157 204 213 172 105 64 74 45 68 51 39 31 23 17 13 9 6 1 0 0 0 0 0 0 0 0 2 13 44 123 234 329 435 561 701 839 957 1049 1101 1147 1157 1205 1243 1248 1240 1245 1236 1135 1068 1054 1010 999 983 972 979 986 1003 1102 1224 1293 1303 1238 1210 1185 1130 1104 1115 1101 1087 1080 1038 1001 958 918 897 892 880 850 825 802 780 741
227 190 151 154 200 239 256 339 417 451 458 439 443 453 420 360 333 315 321 331 330 322 317 327 353 380 396 398 380 359 347 344 346 350 355 360 371 376 348 350 336 313 283 258 236 216 196 176 155 134 123 119 137 153 142 138 132 86 58 57 36 30 20 13 7 4 4 3 0 0 0 0 0 0 0 0 0 0 1 5 25 85 175 295 401 530 693 856 991 1093 1202 1241 1287 1320 1352 1390 1407 1384 1357 1350 1232 1186 1143 1109 1056 1012 996 982 957 972 1056 1172 1269 1333 1315 1291 1262 1228 1199 1121 1091 1075 1079 1070 1050 1023 1006 1003 985 983 964 938 931 950 945
74 96 95 86 98 121 145 147 170 233 331 383 393 385 369 341 323 317 320 330 338 342 348 368 401 431 437 426 402 374 355 349 353 357 360 365 369 373 364 330 296 263 233 208 188 169 150 135 121 108 105 98 110 147 134 107 111 75 49 34 17 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 40 144 244 350 477 636 813 986 1130 1201 1317 1385 1431 1452 1473 1500 1519 1515 1485 1464 1389 1318 1237 1148 1064 1014 987 939 909 947 1017 1112 1179 1248 1276 1271 1279 1283 1317 1295 1160 1122 1125 1126 1117 1094 1065 1039 1029 1017 1009 1017 1014 1025 1037
32 47 52 50 63 82 102 94 81 86 150 274 336 321 306 287 283 296 296 312 348 381 411 441 474 504 507 488 447 399 364 350 343 343 352 363 365 357 308 254 210 172 146 128 112 98 84 77 74 71 71 71 69 94 114 107 89 45 25 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 76 186 289 396 536 715 909 1088 1228 1283 1380 1440 1471 1514 1565 1590 1604 1587 1555 1515 1453 1361 1309 1233 1116 1031 960 883 880 915 960 1003 1028 1058 1087 1106 1136 1094 1155 1133 1125 1137 1155 1171 1165 1123 1088 1069 1044 1008 1006 1034 1047 1061 1094
12 20 29 39 46 43 56 63 83 72 69 138 221 269 287 265 267 282 286 324 391 456 512 560 597 617 595 547 474 406 362 346 341 339 338 327 300 254 193 139 97 64 51 48 42 38 35 37 38 40 39 42 42 49 71 80 43 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 36 118 219 314 428 587 776 983 1144 1226 1308 1399 1459 1517 1585 1620 1620 1626 1600 1558 1529 1480 1388 1331 1297 1205 1110 970 871 863 868 861 862 876 886 903 881 836 835 923 997 1029 1046 1079 1093 1090 1083 1083 1089 1088 1076 1078 1086 1079 1058 1032
4 7 12 18 21 14 23 34 52 64 66 81 128 213 299 271 271 306 322 369 454 546 630 704 738 695 585 514 429 367 333 323 322 311 279 234 184 126 77 45 26 14 9 8 8 8 6 7 12 12 14 18 20 26 37 38 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 51 137 234 323 437 621 827 1023 1149 1197 1243 1313 1386 1449 1500 1536 1551 1551 1533 1495 1472 1449 1398 1341 1315 1280 1229 1009 888 839 798 761 744 741 739 790 750 664 667 728 783 805 841 900 915 955 1004 1022 1067 1126 1172 1196 1188 1153 1131 1097
6 6 7 4 3 3 7 9 17 40 70 86 92 138 266 301 273 315 307 363 458 547 629 710 728 598 438 364 311 277 256 240 222 194 153 105 66 44 18 6 3 1 0 0 0 1 0 0 1 1 1 2 4 8 12 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 15 50 130 221 294 423 614 812 964 1068 1088 1086 1117 1182 1252 1308 1355 1371 1362 1365 1353 1343 1338 1329 1316 1276 1191 1195 1027 886 796 753 756 784 805 754 750 728 677 638 625 624 641 686 724 772 849 917 956 1007 1086 1170 1233 1269 1266 1262 1214
7 6 6 5 2 2 2 2 4 21 58 102 126 150 300 338 297 322 339 352 386 418 433 469 483 367 264 213 186 167 151 133 105 70 44 22 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 2 3 6 17 44 111 197 237 329 474 618 736 852 888 878 894 957 1025 1054 1118 1129 1126 1131 1147 1162 1170 1181 1177 1166 1121 1101 968 824 766 797 850 873 884 832 782 735 687 643 608 589 612 651 639 695 787 865 905 931 985 1076 1170 1257 1305 1323 1340
4 4 3 3 3 3 2 2 7 21 51 103 173 243 308 327 290 265 272 267 256 239 213 219 229 180 140 118 99 85 72 55 34 11 2 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 1 1 1 1 1 1 1 1 1 2 3 5 12 32 73 126 152 194 255 311 409 520 589 617 656 729 801 846 890 878 876 893 913 922 929 932 924 900 910 873 767 705 753 849 893 888 851 794 759 708 671 652 589 541 624 692 632 658 738 815 858 871 899 973 1061 1141 1195 1271 1356
3 3 3 3 3 3 3 4 8 19 38 70 125 192 216 187 141 106 89 93 106 115 119 120 103 82 70 58 45 35 27 15 6 0 0 0 1 0 1 1 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 1 1 1 1 1 1 0 0 0 1 2 3 6 14 30 48 59 92 113 134 168 228 298 353 408 479 518 566 607 633 646 652 647 635 639 612 580 555 549 524 518 588 693 788 829 831 830 765 700 646 615 594 503 454 546 590 615 643 678 719 768 776 809 881 971 1063 1177 1293 1352
2 2 2 2 2 2 2 3 4 11 21 27 40 42 18 11 5 9 7 4 20 54 58 40 37 34 29 20 11 6 4 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 1 1 1 1 1 0 0 0 0 0 0 0 1 2 4 8 12 20 45 61 73 88 107 135 168 200 235 262 302 364 414 428 412 389 378 358 317 277 253 267 294 340 423 492 573 654 664 689 663 585 532 511 437 411 470 557 588 593 617 664 704 693 674 720 800 872 960 1083 1203 1298
2 1 1 0 1 1 0 1 1 2 4 5 7 4 0 0 0 0 0 0 5 19 19 9 10 8 7 3 1 0 0 0 0 1 1 0 0 1 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 3 10 24 44 65 79 81 76 81 84 92 108 140 187 222 231 219 198 184 161 117 74 73 99 125 163 191 225 269 332 369 401 405 379 378 394 294 281 357 405 411 428 499 620 734 716 679 680 687 696 785 967 1162 1334
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 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 5 17 38 62 77 76 58 52 44 40 43 55 80 103 111 109 97 78 66 45 28 28 32 42 49 57 73 90 113 142 184 205 202 237 250 203 182 190 210 229 261 354 484 589 660 674 623 545 546 682 853 1041 1281
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 3 14 35 60 76 70 54 41 33 28 26 30 40 55 59 61 57 45 38 32 25 23 25 26 29 33 38 44 50 58 82 110 107 143 149 141 129 125 140 173 230 309 377 453 580 654 621 571 596 721 828 1060 1265
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 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 15 33 63 84 78 60 42 29 21 19 20 22 28 32 32 27 24 27 28 23 19 21 21 23 29 35 39 42 45 55 79 83 92 100 101 101 113 144 190 261 336 391 439 494 534 561 586 633 760 909 1100 1231
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 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 29 58 83 87 74 53 32 20 21 20 19 7 12 13 10 10 15 20 10 14 20 22 26 32 38 41 41 41 50 66 75 81 84 84 90 121 158 202 253 316 405 484 495 473 609 751 685 739 894 1082 1218
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 24 45 71 87 87 74 54 33 16 12 14 10 11 15 17 18 23 28 22 29 32 34 37 39 41 48 48 48 57 72 82 88 92 91 96 118 149 198 227 290 420 590 809 1025 863 921 819 761 779 918 1157
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 32 51 69 80 82 70 42 28 21 17 17 22 29 34 36 39 44 47 49 51 54 59 59 56 60 59 65 82 99 104 104 109 110 113 123 161 234 283 326 430 671 959 798 670 822 965 972 852 798 981
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 23 35 48 61 72 66 40 29 23 21 24 30 41 48 54 59 67 76 84 87 90 96 96 93 95 96 105 124 141 144 139 136 152 172 192 252 341 411 456 559 866 1062 1014 797 829 1104 1307 1245 1103 1049
0 0 0 0 0 0 0 0 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 6 15 26 39 51 62 54 34 21 20 26 35 44 56 62 70 82 92 102 112 120 122 121 123 133 145 165 179 185 195 194 192 199 224 261 308 353 406 455 523 735 928 972 886 831 965 1203 1345 1332 1116 968
0 0 0 0 0 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 21 35 47 52 43 30 25 29 38 47 55 61 65 69 74 77 82 88 94 100 100 105 117 137 158 169 177 190 189 194 208 233 248 250 255 287 340 397 568 642 649 701 821 916 926 909 810 647 658
1 0 0 0 0 1 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 1 6 18 32 42 42 36 29 30 35 38 42 43 45 46 45 45 47 49 50 52 53 57 62 68 76 84 93 102 108 122 133 140 141 137 137 150 163 204 241 293 321 329 348 386 374 412 447 453 460 495
0 0 0 0 0 0 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 25 31 30 26 23 24 26 24 22 19 16 17 16 13 11 14 18 22 23 27 31 34 38 44 53 62 70 75 81 85 86 86 87 101 106 118 132 141 150 158 168 178 173 189 223 242 248 267
0 0 0 0 0 1 1 1 2 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 12 13 10 7 8 6 2 3 5 3 1 2 2 1 1 0 1 4 5 9 14 18 22 23 26 36 44 49 54 58 63 66 66 70 70 72 76 80 86 90 91 94 97 105 118 125 130 140
0 0 0 1 1 1 1 1 1 3 2 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 14 15 17 23 30 36 39 43 47 48 50 50 50 49 48 49 51 50 52 52 50 52 58 66 75 83
0 0 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 13 16 22 28 31 33 36 37 37 36 33 31 29 28 28 27 28 28 27 27 29 32 34 40
0 0 0 0 0 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 0 0 0 3 6 8 10 14 21 24 25 26 25 24 22 19 17 15 14 13 13 13 13 14 14 15 15 16 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 13 14 14 14 12 10 8 6 4 4 4 3 4 5 5 6 8 8 8 9
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 2 1 2 2 1 0 0 0 0 0 0 1 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9