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 10 10 9 8 7 7 6 6 6 6 6 7 6 6 6 6 7 7 7 7 8 7 7 6 6 6 7 6 7 8 9 9 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 11 12 11 9 8 7 6 6 6 7 8 9 10 9 8 8 8 7 7 7 7 7 7 7 6 7 7 8 9 10 11 11 9 9 9 9 9 7 7 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 6 6 nan
nan 10 11 10 9 8 7 6 6 6 6 6 7 7 7 6 5 6 7 7 7 7 7 6 6 6 7 7 7 7 8 9 8 8 8 7 7 7 6 6 7 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 9 11 11 11 9 8 7 7 7 6 6 7 9 9 8 8 8 7 7 7 7 7 7 7 6 6 7 8 9 10 10 11 10 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 10 11 10 9 8 7 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 6 7 8 8 7 7 8 8 8 8 8 9 8 8 7 7 7 8 9 10 11 11 10 9 8 7 7 7 7 8 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 10 11 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 9 10 9 9 8 8 7 7 6 6 7 7 8 7 7 6 7 7 7 7 7 6 6 6 6 6 7 8 7 7 7 8 8 8 8 8 8 7 6 7 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 9 10 10 10 11 11 10 9 8 8 8 8 9 9 9 9 8 7 7 7 8 8 9 9 9 10 10 9 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 7 7 7 6 6 7 7 8 8 nan
nan 9 9 9 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 8 8 8 8 8 8 7 8 8 7 7 9 10 9 8 8 8 8 9 9 10 10 9 9 8 8 9 10 11 11 11 12 11 10 10 9 9 9 10 10 10 10 10 8 8 8 9 9 10 10 10 10 10 10 9 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 6 7 9 9 8 8 8 7 7 7 8 7 8 9 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 10 11 12 12 13 13 12 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 7 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 nan
nan 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 6 6 7 7 7 8 8 8 7 7 8 9 9 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 9 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 7 7 6 6 7 7 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 9 9 nan
nan 9 9 9 9 8 8 8 8 7 8 7 7 6 6 7 8 9 9 8 7 7 6 6 6 6 7 8 8 8 8 7 7 9 10 10 9 9 9 10 11 11 11 10 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 nan
nan 9 10 9 9 9 8 8 7 7 8 8 7 6 6 7 9 10 9 8 7 6 7 7 6 6 7 8 9 9 9 9 9 10 11 11 11 11 11 10 11 12 11 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 10 11 11 11 11 11 11 11 12 11 10 9 9 9 9 9 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 7 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 nan
nan 10 10 10 10 9 9 8 7 8 8 8 7 6 6 7 9 10 10 9 8 7 7 6 6 6 7 7 8 8 9 9 8 9 9 10 10 11 11 10 10 11 11 11 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 11 10 10 10 11 11 12 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 7 7 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 nan
nan 11 11 11 11 10 9 9 8 8 9 8 7 6 6 7 10 11 11 10 9 8 8 7 6 6 6 8 8 8 9 9 8 8 8 9 10 11 11 10 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 10 9 9 10 10 10 9 9 10 11 11 11 10 9 9 9 9 9 8 9 9 9 10 10 9 9 8 8 8 7 7 7 7 8 8 9 10 9 8 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 8 8 8 8 8 9 8 nan
nan 12 13 12 12 11 11 10 9 9 9 8 8 7 7 7 9 11 11 10 9 9 8 8 7 6 7 8 8 8 9 10 10 8 8 8 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 11 11 10 10 10 10 9 9 10 10 10 10 9 9 10 11 10 9 8 8 8 8 8 9 9 8 8 9 10 9 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 9 10 11 10 10 10 9 9 9 9 8 8 8 8 8 7 6 7 7 8 8 7 7 7 7 7 7 nan
nan 14 14 13 13 12 11 11 10 10 9 8 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 8 9 10 9 8 7 7 8 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 9 10 9 10 10 11 10 10 11 11 10 9 9 10 10 9 9 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 9 10 9 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 5 6 6 6 6 6 7 7 7 7 7 nan
nan 14 14 13 13 12 11 10 10 9 8 8 8 8 9 10 11 11 10 9 8 8 8 7 7 6 6 6 7 7 8 8 7 7 7 6 6 7 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 10 11 12 11 9 9 9 8 8 8 8 8 9 10 10 9 7 7 7 6 7 7 7 7 8 9 10 9 9 8 8 8 7 7 7 7 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 5 5 5 5 5 6 7 8 8 8 7 nan
nan 14 13 12 12 11 10 9 9 7 6 7 7 7 8 9 10 10 9 7 6 6 7 7 7 6 5 5 6 6 7 7 7 7 7 6 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 9 10 10 10 11 13 11 9 8 8 7 7 7 7 8 9 10 10 9 8 7 7 6 6 7 7 8 8 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 6 6 5 4 4 5 6 7 8 8 8 7 nan
nan 13 12 11 11 10 9 8 5 3 4 6 6 6 7 8 9 8 7 5 4 4 5 6 7 6 5 5 5 5 6 6 6 7 7 6 5 4 4 4 5 5 6 7 7 7 7 7 8 8 8 9 10 10 8 7 7 9 10 10 10 11 12 10 9 8 8 7 7 7 8 8 9 9 10 9 9 8 7 7 7 7 7 8 8 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 5 6 6 7 6 6 6 nan
nan 11 11 10 10 9 8 5 1 0 2 4 4 5 6 7 8 7 5 3 3 4 5 6 6 6 5 5 5 5 5 4 5 6 7 7 6 5 4 3 4 5 7 7 8 8 8 7 8 8 9 10 10 9 8 7 8 9 10 10 10 11 12 10 9 9 9 8 7 7 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 9 9 10 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 8 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 nan
nan 10 9 9 9 7 5 2 -1 -1 0 1 2 4 5 7 8 7 5 3 4 5 6 7 6 6 6 6 6 5 5 4 4 6 7 7 6 5 5 4 5 6 7 8 8 8 7 7 8 9 9 9 9 8 8 8 9 10 10 10 11 12 12 10 10 9 9 8 7 6 7 8 8 9 9 10 9 8 7 7 7 7 8 8 7 8 9 10 9 8 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 7 8 8 8 7 7 8 9 9 9 9 9 9 8 7 7 8 8 8 8 7 6 5 4 4 nan
nan 10 9 8 6 5 3 1 -0 -1 -0 1 2 3 5 6 8 8 7 6 5 6 7 8 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 11 12 13 12 10 9 9 9 8 7 6 7 8 9 9 9 10 10 8 8 8 7 8 8 8 7 8 9 10 9 8 9 9 9 8 9 9 9 10 10 9 9 8 8 8 7 7 6 6 5 5 6 6 7 7 7 8 9 10 10 10 10 9 9 8 9 9 9 9 9 8 7 6 5 4 nan
nan 10 8 6 4 3 1 1 1 1 2 3 4 6 7 7 8 9 8 7 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 7 7 8 9 9 10 10 11 12 13 12 10 9 9 9 9 8 8 9 10 10 9 9 10 10 9 9 9 9 9 8 8 7 8 10 10 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 7 6 5 4 4 5 6 6 7 8 9 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 7 6 nan
nan 9 7 5 2 1 0 1 2 3 5 7 9 9 9 9 9 9 8 6 6 6 7 7 8 7 7 6 6 7 8 9 10 11 11 11 10 10 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 8 9 9 10 11 12 12 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 9 8 8 9 9 10 10 9 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 5 5 5 6 7 8 10 11 12 12 11 11 10 10 8 8 7 8 9 9 9 9 9 9 nan
nan 8 6 4 1 0 -0 1 2 5 8 11 12 12 11 11 11 9 7 5 5 6 7 7 7 7 6 6 6 6 7 9 12 13 13 13 12 11 9 8 7 7 8 8 9 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 12 11 12 12 12 12 11 9 8 8 8 9 10 10 10 8 7 6 6 6 7 7 8 8 9 10 11 11 11 12 12 10 9 8 7 6 6 7 7 7 8 10 11 12 12 12 12 10 9 8 7 7 8 8 9 9 9 10 10 nan
nan 7 5 3 1 0 -0 0 2 5 8 11 13 13 13 12 11 9 7 5 6 7 7 7 7 7 7 6 7 7 8 10 12 14 14 13 12 11 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 13 14 14 12 11 11 11 12 12 13 13 12 10 9 9 8 9 10 11 11 9 7 6 5 5 5 6 7 8 9 10 10 10 11 12 12 12 10 9 8 8 8 8 8 7 7 9 10 11 12 12 12 10 8 7 6 7 8 9 10 9 9 10 10 nan
nan 7 5 4 2 1 0 2 3 5 7 10 12 13 13 13 12 10 7 7 7 7 7 6 7 7 8 8 9 10 10 12 13 14 14 13 12 11 11 11 11 10 9 9 9 10 10 11 10 10 10 9 9 8 8 9 8 8 9 9 9 8 9 11 12 12 12 12 12 13 14 15 14 12 10 10 11 11 12 12 13 13 12 10 9 9 9 10 12 12 11 10 8 7 6 6 6 7 8 8 9 9 10 10 11 11 11 11 10 10 9 9 8 8 7 7 8 9 10 11 11 11 10 9 7 7 8 9 10 9 9 9 9 9 nan
nan 7 6 4 2 1 2 4 6 7 8 10 12 12 13 12 11 9 8 8 8 7 7 7 8 9 9 9 10 11 11 11 12 12 12 11 11 12 12 12 12 11 10 9 8 9 9 10 9 9 9 8 8 8 8 8 7 7 7 8 8 8 10 12 12 13 13 12 12 13 14 15 14 13 11 11 11 12 12 13 13 13 13 12 10 10 10 11 13 13 13 11 9 8 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 9 9 8 8 7 7 7 8 10 10 10 10 11 10 9 8 9 9 9 8 8 8 8 8 nan
nan 8 6 4 3 3 5 7 10 11 12 13 14 14 13 12 10 9 8 8 8 7 7 9 10 11 9 8 8 7 7 7 7 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 10 12 13 13 12 12 12 13 13 14 14 13 12 12 12 13 13 13 14 14 13 12 12 11 11 11 12 13 13 12 9 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 11 11 9 8 7 7 7 7 8 9 9 9 9 9 11 12 12 10 10 9 8 6 6 7 7 7 nan
nan 8 7 6 6 7 9 11 12 14 16 17 17 16 15 13 10 8 8 7 8 8 9 12 12 10 7 6 4 3 2 2 3 4 4 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 10 12 12 12 12 12 11 12 12 13 13 13 12 12 12 12 12 13 13 13 13 12 12 11 10 9 9 10 11 10 9 8 7 7 7 7 8 9 9 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 7 7 8 11 13 13 12 11 9 8 6 5 5 6 7 nan
nan 8 8 9 11 12 14 15 15 17 18 19 18 17 16 14 12 10 9 9 9 10 11 13 12 9 6 4 3 3 3 3 4 4 4 4 3 3 3 3 4 5 5 6 6 6 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 10 11 12 11 11 10 10 10 10 10 11 11 11 11 10 11 11 11 11 12 11 11 10 10 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 9 11 12 12 12 11 9 7 6 6 7 9 nan
nan 8 10 12 14 15 15 16 16 17 18 18 17 17 16 14 13 11 11 12 12 12 12 12 10 8 6 5 5 6 6 7 7 7 6 4 3 2 2 2 3 4 5 5 5 6 6 6 6 6 7 7 8 7 7 7 7 7 7 6 5 6 8 9 10 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 10 11 11 9 8 8 8 7 7 7 7 7 8 9 10 11 12 12 11 10 9 10 10 11 nan
nan 9 11 12 13 13 13 14 14 15 16 16 16 15 14 13 12 12 13 14 14 14 13 12 10 8 6 6 7 8 9 9 9 8 6 4 3 2 3 4 5 5 5 5 5 5 6 7 7 8 7 7 7 7 7 7 7 6 6 4 3 3 5 7 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 8 7 8 9 10 10 9 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 10 11 12 12 12 12 12 nan
nan 10 10 10 9 9 9 10 12 13 13 13 13 13 12 12 11 12 13 13 14 14 14 13 11 8 5 6 7 8 8 8 9 9 7 5 4 4 5 7 7 6 5 5 5 6 8 9 9 9 9 9 9 9 8 8 8 7 7 5 3 2 2 3 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 8 9 11 12 13 13 13 nan
nan 9 8 7 6 6 6 7 8 10 11 11 12 12 11 11 12 13 12 12 13 13 13 13 12 9 7 7 8 8 8 9 10 10 8 6 4 5 6 8 8 7 6 6 7 9 10 11 10 9 9 9 9 10 9 9 9 10 10 8 5 2 0 0 2 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 9 8 8 7 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 9 10 10 10 10 8 7 6 6 6 7 8 9 11 12 13 nan
nan 7 6 6 5 5 4 5 5 6 7 8 9 10 10 11 12 13 12 12 12 12 12 12 12 11 10 11 11 10 10 10 11 10 8 6 4 5 7 8 8 7 8 8 9 10 10 9 8 8 9 9 9 9 9 10 10 11 11 10 7 5 3 2 2 5 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 8 9 9 8 8 9 9 8 8 8 9 8 8 8 8 9 10 11 10 9 8 8 7 7 6 6 6 7 9 11 nan
nan 6 6 5 5 5 4 4 4 3 3 3 5 7 8 10 12 12 11 11 11 12 12 12 12 12 14 15 15 14 13 13 12 10 8 6 6 7 7 8 8 8 9 10 9 8 7 6 7 7 8 8 8 8 9 9 9 9 9 10 11 10 8 6 5 5 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 8 8 10 10 10 9 8 8 8 9 10 10 9 8 8 7 7 8 8 8 8 9 9 10 9 8 8 8 9 9 8 8 8 9 10 9 9 9 9 9 9 8 7 7 7 8 8 nan
nan 5 5 4 4 5 5 4 4 3 1 0 1 2 4 7 8 8 9 10 11 11 11 11 12 14 15 17 17 17 17 16 14 11 9 8 8 8 8 8 9 10 10 9 8 6 5 6 6 7 7 7 7 7 7 7 6 6 7 9 11 12 11 8 5 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 7 8 9 10 10 9 8 8 8 9 10 10 10 9 9 8 8 9 9 9 9 10 10 11 11 10 9 9 9 10 9 8 8 8 8 8 7 8 9 10 10 10 9 9 9 9 9 nan
nan 4 4 4 4 5 5 5 5 4 4 3 2 1 3 4 5 5 6 8 10 11 11 12 13 14 15 16 18 19 19 18 16 14 13 12 11 10 10 10 10 10 9 8 7 6 6 7 7 7 8 8 7 7 6 6 6 6 5 5 7 8 8 6 4 2 3 4 5 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 4 5 7 8 10 10 10 9 8 7 8 9 9 10 9 9 8 9 9 10 10 9 9 10 10 11 11 11 11 10 10 10 8 8 8 8 7 7 6 6 7 9 9 9 9 8 10 10 10 nan
nan 4 4 5 5 6 6 6 6 6 7 8 6 5 5 6 6 6 6 7 9 11 12 13 14 14 14 15 16 17 17 17 16 16 17 16 15 15 16 14 12 10 9 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 4 3 3 3 4 4 4 2 2 2 3 5 6 7 7 7 7 7 7 7 7 7 7 6 5 5 4 4 5 7 9 10 10 9 8 8 7 7 8 8 9 8 8 8 8 9 10 10 9 9 9 9 10 11 11 11 11 10 9 8 8 8 8 7 7 7 6 6 7 7 7 7 6 8 9 9 nan
nan 6 6 6 7 7 8 8 9 8 9 9 9 8 8 9 9 9 8 7 10 11 12 12 12 12 13 13 14 15 14 14 14 16 17 18 19 20 22 21 16 12 10 9 9 7 6 6 7 8 8 7 7 7 7 6 6 5 5 4 4 4 4 5 5 4 3 2 2 3 4 5 6 7 7 7 7 7 7 6 5 4 4 4 5 6 7 8 9 10 10 9 8 8 8 8 7 8 8 8 7 7 8 9 9 10 9 8 8 8 9 10 11 11 11 10 9 9 9 9 8 8 8 8 7 7 7 6 6 5 5 6 7 8 nan
nan 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 11 11 10 10 10 11 12 12 11 11 11 11 12 12 12 12 13 14 15 16 18 21 24 24 20 16 13 11 10 9 7 7 8 8 8 8 8 8 7 6 5 5 5 6 6 6 6 6 6 6 6 4 4 3 4 5 6 6 6 6 6 6 6 4 3 3 4 5 7 8 9 10 10 10 9 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 5 6 6 6 nan
nan 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 12 12 11 11 11 10 10 10 11 11 12 12 12 13 13 15 17 19 20 21 20 18 17 14 12 12 12 11 11 10 10 10 11 9 7 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 5 7 7 6 5 4 4 3 3 4 5 6 8 8 9 10 10 11 11 10 9 8 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 7 6 6 7 7 7 nan
nan 11 12 12 12 13 13 13 13 14 14 15 15 13 11 10 9 9 9 11 12 12 12 11 11 10 10 10 10 11 11 11 12 12 11 11 12 12 13 15 17 20 22 22 18 16 15 14 13 12 11 11 11 11 10 7 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 4 3 2 3 4 6 8 9 9 9 10 10 10 10 10 10 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 7 9 10 11 11 10 10 10 10 10 9 9 9 10 10 9 8 8 7 7 7 7 8 8 nan
nan 12 13 13 13 13 13 13 14 14 15 15 14 12 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 12 14 18 18 16 15 13 12 11 10 10 9 9 8 6 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 4 5 6 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 9 nan
nan 12 13 13 13 12 12 12 13 14 14 14 12 10 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 6 6 6 8 10 12 11 10 10 9 8 7 7 6 5 3 2 2 3 5 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 8 8 7 8 8 8 8 9 9 8 8 8 9 9 9 8 7 6 6 5 5 6 6 7 7 6 7 7 8 8 8 8 8 8 8 nan
nan 11 12 12 12 11 11 11 12 13 13 12 11 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 5 4 4 6 7 8 8 7 5 5 5 6 5 4 2 1 1 2 4 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 9 8 8 8 9 8 7 6 5 5 5 5 6 6 6 6 6 6 7 9 9 9 9 8 8 7 nan
nan 9 10 10 10 10 10 10 11 12 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 7 6 4 2 2 2 3 4 2 2 2 3 5 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 9 9 9 8 7 6 5 6 7 8 8 8 7 6 6 8 9 10 9 9 8 7 6 nan
nan 8 8 9 9 9 10 11 11 11 10 10 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 8 6 4 3 2 3 4 4 4 3 4 5 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 9 8 7 6 6 7 8 9 9 9 9 8 8 8 9 9 9 8 7 7 6 nan
nan 7 7 8 8 9 11 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 5 3 3 3 4 6 7 7 6 5 6 8 9 10 10 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 nan
nan 7 7 8 9 10 12 13 13 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 4 3 2 4 5 6 7 7 6 6 7 8 10 11 11 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 9 9 9 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 8 7 7 6 7 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 nan
nan 7 7 8 9 10 12 12 13 13 13 13 12 11 10 9 9 9 9 10 10 11 10 10 10 10 10 9 9 8 8 7 7 7 6 6 6 7 6 6 5 4 4 5 6 7 7 6 6 6 6 8 10 11 13 13 13 12 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 6 6 6 6 7 7 7 8 8 8 9 9 9 8 7 7 7 8 8 9 8 nan
nan 6 7 8 10 11 11 12 12 12 12 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 7 7 8 8 10 11 12 12 12 12 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 9 8 6 5 6 6 7 7 7 8 9 9 9 10 10 10 10 9 8 8 8 9 9 9 nan
nan 6 7 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 9 10 11 12 12 12 11 10 9 7 7 7 8 9 9 9 10 10 9 9 9 9 8 9 9 9 10 9 9 10 10 10 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 8 7 6 7 8 9 8 6 6 6 7 7 8 9 10 10 10 10 11 12 12 12 11 10 9 9 9 9 10 nan
nan 7 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 8 7 6 5 5 6 7 7 7 8 8 8 9 9 10 11 11 11 11 10 11 12 13 14 14 14 13 11 9 7 6 6 7 8 8 9 9 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 7 6 6 7 8 9 8 8 8 8 8 9 10 10 11 11 10 11 12 13 13 13 12 11 10 9 9 9 10 nan
nan 8 9 10 11 11 11 10 10 9 9 9 8 8 9 9 10 10 10 9 9 9 10 10 10 9 8 7 6 6 6 7 8 8 8 9 9 10 10 11 11 12 12 13 14 14 14 14 14 15 14 14 12 10 9 7 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 6 5 5 7 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 9 9 9 9 9 9 10 11 11 11 11 10 11 12 12 13 13 13 12 12 10 9 9 9 9 nan
nan 10 10 11 11 11 11 10 10 10 9 8 8 8 9 9 10 10 9 8 8 9 9 10 10 10 10 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 13 14 14 14 14 13 13 12 11 10 9 8 8 8 9 9 9 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 4 3 5 8 9 9 9 8 8 9 8 8 7 7 7 7 7 8 9 10 10 9 9 10 10 11 12 12 11 11 11 11 12 12 13 13 13 13 13 12 11 10 9 9 nan
nan 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 9 8 7 8 8 9 10 11 12 12 11 11 11 11 10 9 8 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 9 8 7 7 6 6 6 6 6 6 6 7 7 8 8 7 6 4 4 7 9 10 10 9 9 9 9 8 8 7 7 8 9 9 9 10 11 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 nan
nan 10 10 10 11 11 12 11 11 10 10 10 10 10 9 9 9 9 8 7 8 8 9 10 11 12 12 13 13 13 13 11 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 7 8 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 5 5 5 6 7 7 7 8 8 8 7 7 8 9 10 11 11 10 10 10 9 8 7 7 8 9 9 9 10 10 11 12 12 13 13 13 12 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 11 11 11 12 12 11 10 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 10 11 12 12 12 13 13 12 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 11 12 12 11 11 10 10 9 9 9 8 8 9 9 8 8 8 8 8 8 7 6 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 8 7 8 9 9 10 10 11 12 13 13 14 14 13 12 11 10 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 nan
nan 14 12 12 12 12 12 10 9 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 13 14 11 9 8 8 8 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 7 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 12 12 13 13 12 11 10 9 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 nan
nan 14 13 12 12 11 10 9 8 7 7 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 10 12 13 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 9 10 9 9 8 7 7 6 6 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 8 9 10 11 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 8 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 nan
nan 12 12 11 10 9 8 7 6 7 7 8 8 9 10 10 10 10 10 8 7 6 6 6 6 6 7 7 9 11 12 11 11 10 10 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 7 7 8 8 8 8 7 7 7 6 6 6 7 8 8 8 9 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 9 7 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 10 11 10 9 8 7 6 6 8 9 9 10 11 12 12 11 11 9 7 5 5 4 5 5 6 8 9 10 11 12 12 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 8 8 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 8 9 10 10 11 12 12 13 13 12 12 11 10 10 9 9 8 8 8 9 9 10 11 11 11 11 12 12 12 12 11 10 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 8 8 nan
nan 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 9 8 7 5 5 5 6 7 9 10 11 11 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 6 6 6 7 7 8 8 7 6 6 6 7 7 8 9 10 11 11 12 13 14 14 13 12 10 9 9 8 8 8 8 8 8 8 9 10 11 12 12 12 12 13 13 12 11 10 9 8 8 8 8 8 7 7 7 8 8 8 7 7 8 7 7 7 7 8 9 9 8 8 7 8 9 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 7 7 6 6 7 8 9 11 12 12 13 14 14 15 15 14 12 10 9 8 8 8 8 8 9 10 10 11 12 13 13 14 13 13 13 13 12 11 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 9 9 9 8 7 8 9 10 10 10 nan
nan 9 9 9 10 9 9 9 8 8 7 7 8 8 9 8 7 7 7 8 8 9 9 10 11 11 12 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 8 7 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 9 10 12 13 13 14 15 15 15 15 14 13 11 9 9 8 9 9 10 11 12 12 13 13 14 14 15 14 14 14 13 12 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 11 nan
nan 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 9 9 9 8 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 8 8 8 9 11 13 14 14 15 15 15 15 14 14 13 12 11 10 10 10 11 12 13 13 14 14 13 13 13 14 14 13 13 13 12 10 9 8 8 8 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 9 10 11 nan
nan 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 9 9 9 9 9 10 10 12 13 14 14 14 14 13 13 13 13 12 12 12 12 12 13 13 13 14 14 14 14 13 12 12 11 11 11 11 11 11 10 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 8 8 8 8 9 10 10 nan
nan 8 8 8 8 7 7 7 7 7 8 9 10 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 11 11 12 14 14 14 14 13 13 13 12 11 10 9 9 9 9 9 10 10 9 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 9 nan
nan 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 13 13 13 13 13 13 12 12 11 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 12 13 12 12 11 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 nan
nan 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 nan
nan 8 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 9 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 10 11 11 11 10 8 8 7 7 8 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 nan
nan 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 10 11 12 12 12 11 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 8 7 7 6 6 6 6 6 6 7 7 8 8 8 7 8 8 8 9 9 10 9 9 9 10 11 11 12 13 13 13 12 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 8 8 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 9 9 10 10 10 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 7 8 8 7 7 6 6 6 6 7 8 8 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 10 10 9 9 10 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 8 8 7 7 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 10 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 6 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 nan
nan 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 8 7 6 5 6 7 8 8 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 7 8 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 8 8 8 8 7 6 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 10 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2614 2570 2516 2448 2369 2288 2225 2198 2165 2139 2107 2075 2038 1996 1966 1946 1926 1909 1903 1907 1921 1951 1995 2044 2072 2052 2012 1945 1846 1729 1629 1584 1639 1737 1764 1819 1890 1942 1975 2028 2111 2175 2174 2122 2085 2074 2077 2094 2133 2194 2262 2339 2421 2496 2561 2610 2647 2703 2768 2709 2593 2534 2515 2489 2469 2468 2451 2412 2340 2224 2122 2054 2004 2019 1968 1922 1901 1899 1906 1923 1949 1972 1999 2000 1982 1949 1915 1893 1867 1804 1690 1521 1389 1328 1321 1279 1143 933 713 556 463 420 396 374 352 330 305 286 240 183 154 130 106 90 80 72 77 81 74 75 66 32 21 14 8 4 2 1 0 0 0 0 0 0 0
2616 2566 2510 2446 2380 2317 2257 2235 2192 2163 2141 2104 2074 2066 2050 1994 1952 1944 1944 1951 1964 1995 2044 2086 2113 2084 2043 1971 1870 1763 1687 1671 1707 1788 1803 1829 1877 1926 1970 2023 2092 2175 2199 2146 2110 2111 2128 2156 2207 2261 2317 2386 2455 2514 2547 2554 2566 2599 2714 2652 2566 2520 2495 2468 2456 2459 2460 2440 2363 2235 2123 2060 2023 2021 2002 1952 1915 1906 1919 1951 2002 2039 2078 2082 2053 2001 1950 1894 1786 1606 1430 1263 1128 1028 950 866 757 628 499 427 378 345 314 282 245 202 162 134 109 88 71 56 45 39 34 31 33 34 30 24 16 6 3 2 1 0 0 0 0 0 0 0 0 0 0
2642 2562 2476 2407 2362 2323 2274 2268 2230 2253 2243 2198 2169 2171 2162 2115 2051 1992 1984 1996 2014 2046 2094 2130 2128 2111 2082 2019 1922 1827 1770 1745 1719 1790 1809 1833 1877 1924 1963 2003 2072 2163 2158 2149 2137 2140 2167 2208 2266 2319 2365 2413 2463 2503 2514 2481 2403 2284 2467 2490 2463 2444 2436 2423 2415 2437 2459 2414 2345 2248 2145 2071 2038 2050 2025 1957 1929 1936 1954 1984 2038 2074 2114 2144 2119 2046 1933 1752 1498 1259 1081 942 827 732 652 581 515 455 395 355 320 283 248 213 176 134 103 79 60 45 34 26 20 16 12 11 14 13 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2653 2543 2442 2370 2347 2342 2315 2295 2278 2316 2326 2312 2293 2281 2264 2223 2153 2054 2027 2038 2062 2097 2143 2176 2177 2160 2132 2065 1967 1890 1843 1765 1730 1774 1804 1837 1877 1918 1951 1976 2016 2075 2099 2114 2120 2133 2165 2211 2271 2333 2378 2416 2455 2479 2465 2389 2256 2114 2190 2251 2283 2303 2317 2322 2311 2371 2419 2351 2286 2225 2154 2086 2050 2086 2053 1979 1958 1971 1994 2024 2046 2049 2055 2053 2059 1995 1767 1411 1096 869 728 640 570 510 463 425 388 353 318 288 259 231 204 171 127 89 62 43 30 22 15 10 7 4 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2633 2517 2444 2369 2344 2357 2348 2331 2320 2343 2370 2383 2383 2375 2355 2322 2257 2129 2081 2084 2110 2147 2191 2228 2231 2195 2163 2100 2017 1911 1816 1799 1756 1771 1809 1846 1878 1909 1935 1956 1974 2021 2058 2073 2076 2089 2125 2172 2222 2276 2316 2350 2389 2405 2358 2241 2084 1962 1956 1991 2059 2112 2141 2176 2174 2272 2340 2301 2222 2161 2128 2100 2063 2069 2061 2014 2000 2010 2020 2020 2005 1994 1990 1961 1914 1695 1323 979 731 575 483 426 387 352 321 300 275 252 228 205 188 174 157 130 87 60 39 23 12 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
2569 2460 2409 2359 2345 2354 2350 2345 2351 2379 2406 2417 2422 2418 2405 2394 2305 2192 2132 2127 2155 2197 2240 2270 2262 2207 2179 2110 2007 1904 1831 1804 1767 1768 1802 1837 1860 1880 1902 1919 1929 1978 2002 2008 2008 2017 2043 2075 2101 2133 2171 2212 2242 2235 2174 2059 1908 1825 1809 1809 1880 1959 1991 2028 2056 2160 2231 2215 2150 2098 2092 2109 2090 2047 2026 2016 2016 2012 1990 1952 1899 1894 1905 1776 1507 1166 851 629 484 393 323 282 258 236 209 187 167 154 143 128 116 106 91 74 54 38 22 9 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
2521 2427 2378 2349 2338 2338 2343 2359 2387 2416 2442 2448 2449 2447 2438 2419 2344 2239 2177 2170 2201 2243 2279 2296 2286 2212 2167 2093 2023 1947 1855 1790 1768 1774 1793 1814 1829 1831 1829 1843 1850 1895 1917 1911 1901 1906 1924 1941 1941 1947 1975 2011 2031 2017 1968 1891 1811 1746 1734 1724 1780 1853 1873 1889 1928 2008 2068 2070 2040 2027 2059 2117 2113 2046 1990 1953 1899 1795 1693 1712 1545 1613 1546 1326 1029 751 552 424 336 275 228 197 176 156 137 121 109 89 83 72 61 50 38 28 20 14 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
2451 2368 2329 2319 2317 2317 2327 2352 2382 2416 2460 2472 2476 2481 2481 2458 2386 2285 2223 2211 2235 2271 2299 2303 2275 2172 2132 2043 1943 1883 1864 1841 1796 1780 1767 1758 1744 1732 1735 1749 1746 1784 1824 1815 1793 1788 1799 1801 1785 1771 1793 1826 1847 1845 1814 1753 1717 1666 1664 1668 1716 1782 1805 1796 1807 1848 1897 1934 1963 1998 2051 2103 2075 1964 1847 1756 1660 1524 1394 1408 1386 1232 1048 857 670 508 387 298 234 186 153 130 114 101 90 77 67 52 44 33 20 11 5 2 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
2389 2321 2283 2282 2291 2299 2317 2357 2396 2436 2479 2498 2512 2525 2526 2496 2415 2313 2258 2248 2269 2296 2297 2259 2247 2151 2095 2009 1905 1819 1765 1736 1736 1742 1750 1719 1674 1647 1646 1653 1651 1696 1734 1730 1704 1682 1675 1672 1671 1675 1696 1719 1722 1715 1706 1638 1625 1599 1589 1584 1618 1688 1744 1748 1721 1750 1798 1874 1942 1972 1972 1970 1940 1839 1658 1489 1326 1141 974 881 816 745 649 543 442 352 278 197 149 113 87 70 60 55 50 42 37 28 18 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
2294 2236 2216 2237 2265 2286 2315 2366 2411 2449 2499 2534 2556 2564 2556 2525 2457 2344 2286 2265 2274 2283 2268 2231 2199 2137 2067 1987 1904 1842 1815 1807 1763 1753 1754 1708 1650 1614 1596 1573 1553 1605 1623 1610 1585 1567 1565 1562 1562 1554 1540 1556 1544 1525 1549 1475 1479 1481 1482 1484 1504 1556 1631 1634 1587 1608 1655 1707 1741 1745 1719 1677 1622 1521 1277 1052 869 691 602 560 501 474 423 369 317 247 180 120 82 57 38 27 22 19 20 16 13 9 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
2181 2146 2157 2195 2239 2278 2324 2384 2433 2476 2522 2564 2589 2591 2569 2522 2450 2325 2295 2276 2279 2272 2240 2209 2193 2142 2054 1958 1897 1861 1836 1823 1730 1682 1633 1578 1535 1504 1478 1464 1406 1474 1500 1508 1494 1472 1462 1439 1395 1376 1308 1316 1320 1309 1364 1325 1339 1353 1358 1365 1358 1357 1418 1410 1368 1335 1340 1351 1352 1347 1332 1285 1199 1042 801 607 482 373 334 317 311 330 295 246 208 147 98 61 36 21 11 5 4 3 4 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
2041 2043 2090 2142 2205 2269 2335 2406 2465 2508 2544 2577 2592 2578 2518 2437 2428 2346 2304 2281 2289 2291 2257 2199 2153 2114 2042 1946 1889 1843 1776 1711 1589 1532 1485 1442 1424 1406 1369 1369 1267 1352 1374 1395 1389 1346 1304 1266 1154 1136 1077 1102 1133 1122 1153 1137 1147 1182 1174 1192 1194 1147 1159 1123 1047 972 940 941 935 910 910 817 734 609 453 322 240 191 164 187 191 205 189 157 128 87 47 25 12 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
1918 1937 2020 2089 2172 2257 2339 2416 2479 2517 2540 2559 2557 2551 2507 2419 2396 2351 2298 2276 2286 2291 2260 2200 2168 2134 2057 1938 1838 1753 1667 1592 1502 1437 1393 1355 1358 1336 1251 1252 1211 1258 1263 1247 1215 1157 1081 1043 913 937 901 899 903 868 851 846 851 910 889 905 930 874 838 772 682 616 586 587 563 487 519 426 356 284 204 134 93 78 68 83 83 102 110 97 76 48 17 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
1793 1852 1958 2050 2152 2256 2346 2415 2463 2496 2504 2515 2497 2511 2519 2462 2389 2352 2315 2291 2294 2298 2267 2201 2167 2145 2054 1913 1779 1673 1588 1512 1438 1391 1353 1312 1273 1225 1179 1198 1197 1206 1178 1106 1023 928 805 771 672 698 665 623 591 552 514 528 508 555 548 557 581 557 533 482 403 357 340 325 283 218 210 186 153 121 93 71 54 43 41 44 54 64 66 56 37 20 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
1704 1803 1922 2039 2155 2254 2318 2341 2355 2427 2462 2492 2495 2521 2543 2515 2463 2408 2356 2324 2319 2307 2268 2213 2157 2093 1982 1838 1703 1600 1523 1451 1399 1396 1367 1321 1256 1198 1183 1207 1200 1149 1066 919 786 675 514 483 415 419 394 345 310 294 263 300 269 282 287 293 307 311 309 282 226 189 178 165 133 98 81 71 61 53 47 40 29 23 27 31 36 38 35 24 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
1674 1802 1928 2042 2138 2207 2224 2211 2239 2371 2480 2535 2570 2593 2593 2561 2510 2451 2399 2360 2340 2308 2266 2222 2113 1985 1877 1759 1639 1540 1471 1422 1425 1443 1425 1384 1325 1267 1233 1214 1153 1024 885 685 518 419 291 248 205 192 178 153 139 146 126 154 137 135 141 152 166 175 171 161 127 104 96 87 68 47 35 27 24 19 16 17 17 10 9 11 14 14 11 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
1678 1790 1901 2003 2081 2141 2120 2094 2183 2354 2572 2657 2692 2687 2647 2584 2521 2470 2422 2370 2325 2276 2217 2143 2029 1931 1846 1752 1644 1557 1508 1480 1484 1491 1483 1456 1405 1338 1266 1192 1055 819 622 437 297 219 145 104 86 73 68 62 61 73 66 76 73 73 79 91 102 110 104 99 84 69 58 46 31 14 8 4 4 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1690 1800 1874 1973 2033 2130 2132 2070 2125 2423 2743 2829 2801 2738 2666 2590 2514 2445 2406 2349 2315 2277 2218 2142 2053 1946 1839 1767 1699 1634 1585 1553 1528 1517 1500 1468 1420 1353 1259 1124 894 602 396 246 141 84 56 38 33 23 21 22 24 29 28 31 33 37 49 62 67 72 64 58 50 39 27 17 8 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
1686 1786 1844 1968 2013 2172 2228 2256 2440 2783 2983 2969 2839 2704 2614 2545 2458 2385 2349 2310 2312 2309 2270 2203 2119 1982 1860 1800 1762 1722 1678 1639 1577 1523 1479 1429 1375 1299 1163 949 660 399 224 119 59 31 20 10 8 4 4 5 6 7 6 7 9 11 20 30 34 36 30 23 18 12 6 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
1665 1774 1894 2008 2129 2354 2413 2378 2429 2588 2796 2828 2731 2597 2515 2460 2358 2294 2271 2265 2298 2331 2314 2234 2135 1988 1917 1846 1802 1773 1737 1692 1614 1530 1463 1389 1313 1197 981 685 422 231 111 51 24 10 5 0 0 0 0 0 0 0 0 0 1 1 2 6 10 11 8 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
1695 1840 2040 2180 2364 2548 2518 2308 2126 2175 2418 2554 2568 2507 2446 2388 2298 2237 2233 2249 2270 2285 2268 2206 2123 1989 1929 1851 1795 1763 1736 1693 1616 1528 1427 1317 1180 980 700 401 214 109 49 20 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1825 2007 2226 2409 2533 2551 2404 2196 2084 2159 2317 2433 2459 2433 2380 2310 2236 2204 2223 2241 2241 2233 2210 2151 2045 1962 1886 1819 1775 1748 1715 1650 1532 1435 1253 1089 886 627 386 204 85 37 16 7 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
1998 2207 2407 2549 2558 2449 2281 2145 2116 2200 2298 2362 2376 2359 2308 2237 2178 2166 2194 2219 2242 2224 2163 2085 2023 1952 1874 1812 1760 1707 1647 1567 1348 1202 965 757 554 342 172 79 21 6 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
2177 2369 2523 2591 2532 2407 2293 2241 2261 2311 2311 2330 2326 2295 2241 2183 2144 2141 2169 2206 2248 2213 2118 2029 1981 1941 1878 1818 1739 1590 1400 1253 986 794 596 424 278 154 61 15 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
2307 2476 2581 2591 2507 2406 2349 2343 2355 2343 2293 2303 2287 2228 2163 2118 2103 2120 2149 2198 2231 2191 2095 2000 1949 1923 1829 1657 1442 1138 788 548 379 283 200 131 76 37 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2365 2497 2558 2532 2448 2366 2337 2327 2302 2252 2210 2229 2218 2149 2079 2047 2059 2097 2140 2178 2182 2139 2066 1993 1942 1887 1667 1232 818 474 208 63 18 15 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2335 2419 2445 2413 2360 2286 2233 2180 2123 2081 2081 2115 2102 2040 2001 2013 2062 2109 2149 2157 2146 2123 2087 2038 1958 1767 1319 769 359 131 32 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
2239 2292 2303 2268 2209 2123 2036 1967 1919 1891 1888 1929 1924 1921 1948 2006 2072 2119 2153 2168 2169 2154 2119 2012 1736 1175 691 331 120 28 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
2130 2133 2103 2034 1938 1816 1706 1645 1639 1658 1678 1751 1759 1833 1911 1990 2072 2141 2194 2213 2190 2122 1932 1604 1186 583 255 94 29 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1954 1896 1819 1728 1594 1413 1272 1261 1351 1449 1498 1624 1683 1804 1919 2026 2128 2209 2221 2137 2071 1830 1447 1026 646 297 129 53 25 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 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1720 1678 1621 1532 1396 1183 987 1008 1123 1216 1283 1439 1555 1690 1808 1890 1940 1954 1866 1615 1545 1275 927 626 358 164 91 46 29 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 3 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
1556 1579 1550 1452 1320 1189 1021 1051 1080 1015 931 1000 1097 1190 1259 1268 1226 1150 967 989 867 694 526 376 228 125 73 42 29 16 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 1 1 1 1 1 1 1 2 2 3 3 3 4 5 6 7 7 8 7 6 4 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
1543 1507 1386 1214 1062 951 753 632 507 376 303 363 445 505 549 526 466 416 325 424 387 339 296 238 159 109 66 36 17 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 1 1 1 1 1 2 2 2 3 3 4 5 6 7 9 11 12 13 12 11 8 4 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
1433 1262 1068 880 700 546 389 292 230 176 127 102 104 132 166 140 88 76 102 169 190 198 193 165 116 83 55 29 11 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 1 1 1 1 2 2 2 3 3 4 5 7 9 10 12 14 15 16 17 17 13 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1176 954 785 650 497 418 324 280 272 261 213 126 79 74 74 46 12 5 12 23 49 89 113 111 89 63 38 19 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 1 1 1 1 2 3 4 5 7 9 11 13 14 15 16 17 17 19 17 12 6 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
1000 872 770 659 545 448 390 377 365 316 246 210 180 148 84 31 4 0 0 0 7 25 52 67 56 35 15 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 1 1 1 1 1 3 5 7 9 11 13 15 17 16 15 14 13 11 10 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
941 858 787 703 603 537 455 340 293 299 373 509 509 560 539 387 171 11 0 0 0 2 15 26 20 8 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 1 1 0 1 0 1 1 1 2 2 3 5 8 10 12 14 17 18 18 16 12 8 6 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
957 911 848 743 617 526 426 338 418 494 601 841 862 974 996 798 429 87 0 0 0 0 2 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 1 1 1 1 0 1 1 1 1 1 1 1 2 2 2 3 4 7 9 11 13 16 17 17 16 13 9 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
860 752 683 638 575 475 398 289 265 249 286 435 523 588 574 413 191 30 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 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 6 8 10 11 13 13 12 10 8 6 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
845 770 716 666 590 477 437 289 247 237 223 198 138 93 75 38 8 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 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2 2 1 2 3 4 6 7 8 9 9 8 6 4 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
852 753 669 595 498 370 351 251 205 167 122 74 33 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 1 1 2 2 2 2 1 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 3 5 6 6 6 5 3 2 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
783 656 541 433 335 256 213 161 117 74 36 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 1 1 1 2 2 3 2 1 1 1 1 0 1 2 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 3 3 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
627 495 338 220 159 136 105 73 43 18 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 1 1 1 2 3 3 3 3 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
408 270 125 59 49 39 28 17 8 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 1 1 1 0 0 1 2 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
216 77 18 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 1 2 3 3 3 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
89 25 5 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 1 2 2 2 2 2 2 2 1 0 0 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
22 6 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 2 1 1 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
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 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 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
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 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0
0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 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 0 0 0 1 1 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 1 1 1 2 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
1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 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 1 2 3 5 6 6 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
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 10 9 6 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
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 4 6 7 7 8 8 7 5 6 5 3 1 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 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 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 0 1 1 1 1 0 2 3 5 7 9 10 9 8 8 7 6 6 4 4 3 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
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 3 3 4 4 3 3 5 7 7 5 3 1 1 1 1 0 1 2 1 1 1 2 3 6 9 11 11 10 8 7 8 8 7 5 4 5 6 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
1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 3 4 6 8 9 10 10 9 7 8 8 6 3 1 0 1 1 2 2 2 2 2 3 4 6 10 13 15 13 9 6 4 3 4 5 8 11 12 12 6 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