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 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 7 9 11 13 14 14 13 12 13 12 9 6 6 6 5 5 5 6 6 6 6 6 6 5 4 4 5 6 6 4 3 3 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 3 2 2 1 1 0 0 1 1 2 2 1 1 2 3 4 5 6 8 9 12 nan
nan 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 4 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 7 10 13 13 13 14 13 13 12 9 7 6 6 6 5 5 5 6 6 6 7 6 6 6 5 4 6 7 7 5 4 5 5 6 6 6 6 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 4 3 2 1 1 1 0 0 1 0 0 0 0 0 0 1 1 2 2 3 4 nan
nan 3 3 3 3 3 3 4 4 4 4 5 6 7 7 7 5 4 3 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 4 5 7 11 14 14 12 12 14 14 11 7 5 5 6 6 5 5 5 5 6 7 7 6 7 7 6 6 7 8 8 7 6 6 6 6 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 5 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 nan
nan 3 3 3 3 3 4 4 4 4 4 5 6 7 7 7 5 5 4 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 8 12 15 15 11 11 13 13 9 6 5 5 6 6 6 5 5 4 5 6 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 nan
nan 4 4 4 3 4 4 4 4 4 4 5 6 7 6 6 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 6 9 13 16 16 12 10 10 9 6 4 4 4 5 5 6 6 5 6 6 6 7 7 7 6 7 8 10 10 9 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 nan
nan 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 5 6 7 9 13 17 18 14 10 8 6 4 3 3 4 4 4 5 6 6 6 7 7 7 6 6 5 6 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 11 14 18 19 15 10 6 5 4 3 2 3 4 4 5 6 6 6 7 7 6 5 3 3 7 10 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 nan
nan 5 5 5 5 4 5 5 5 5 5 4 5 5 5 6 6 7 7 8 8 8 8 8 7 7 8 8 8 7 7 6 6 5 5 4 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 6 7 9 11 13 15 18 19 16 11 7 6 6 4 2 2 3 5 5 6 6 7 7 7 6 3 1 3 8 11 11 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 8 9 11 13 15 16 18 19 17 13 8 7 7 6 4 3 4 5 6 6 7 7 8 8 7 4 1 4 10 12 10 9 8 8 8 8 7 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 5 5 5 5 4 4 5 5 5 5 6 6 7 7 7 8 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 6 5 5 4 5 5 6 6 6 6 5 5 5 6 6 7 9 11 13 15 16 16 15 16 16 13 9 7 6 6 5 5 5 6 6 7 7 8 9 9 9 6 5 7 10 11 9 8 7 7 7 7 7 7 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 6 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 10 13 15 17 17 14 12 12 12 11 9 7 6 6 5 5 6 7 7 7 7 8 9 9 8 8 8 9 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 5 6 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 10 12 14 17 17 15 12 9 8 7 6 5 5 6 5 5 6 7 7 7 7 7 8 8 7 6 7 9 10 10 8 7 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 nan
nan 6 6 6 5 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 4 5 5 6 7 8 7 5 4 4 4 5 5 6 5 5 6 6 6 7 7 8 9 10 11 13 15 16 15 12 10 8 7 5 4 4 6 6 5 5 6 7 7 7 7 7 8 9 7 4 5 7 9 9 8 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 nan
nan 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 7 6 5 4 3 4 4 4 4 5 4 5 6 7 8 9 10 10 11 11 12 14 15 14 11 9 7 7 7 6 5 5 6 6 6 6 6 7 7 7 6 7 8 9 8 5 5 6 8 8 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 nan
nan 1 1 3 5 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 3 3 3 3 3 3 3 3 4 5 7 8 10 11 12 12 12 13 13 14 13 11 7 4 2 2 4 4 5 6 6 6 6 7 7 7 7 7 6 7 8 9 8 7 6 7 8 8 7 7 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 nan
nan -2 0 5 8 8 7 6 6 6 6 6 5 5 5 5 4 4 5 5 6 6 5 4 4 4 3 4 4 5 5 4 3 2 1 2 2 2 2 2 2 4 6 8 10 12 13 13 13 13 13 13 13 12 9 4 -0 -3 -3 -1 2 4 5 6 6 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 7 7 6 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 nan
nan 1 6 9 10 8 6 6 6 6 6 6 5 5 5 4 4 5 6 7 7 6 6 5 4 4 4 4 4 4 4 3 1 1 1 1 1 1 1 1 2 5 7 9 11 12 12 12 12 11 11 11 11 10 7 3 -1 -3 -2 0 3 5 5 6 6 7 7 7 6 7 7 7 7 7 6 6 8 9 9 9 8 8 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 9 12 13 11 8 6 5 5 6 6 6 6 5 5 4 4 6 7 8 7 6 6 5 5 6 6 6 5 5 4 2 1 1 0 1 1 1 1 1 3 5 8 9 10 10 10 10 9 9 8 8 8 8 7 5 2 1 3 4 5 5 6 6 7 7 7 6 6 7 7 8 7 5 4 5 8 10 10 9 8 8 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 13 13 11 9 7 6 5 6 6 6 6 6 5 4 4 5 6 8 8 7 6 6 6 7 7 7 7 7 6 5 4 3 2 1 1 1 1 1 1 3 5 7 7 7 7 7 7 7 7 6 6 7 7 7 6 5 5 6 6 5 6 6 7 7 7 6 7 7 7 8 8 7 5 4 6 9 10 10 9 9 8 8 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 12 10 8 7 6 6 6 6 6 6 6 5 5 4 4 5 7 7 7 6 6 7 7 7 8 8 8 8 7 6 6 5 3 2 2 2 2 1 1 1 2 3 4 4 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 8 8 8 7 5 4 4 7 10 10 10 9 9 8 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 7 6 6 6 6 6 6 5 5 5 4 4 5 6 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 6 5 4 4 4 4 3 1 -0 -1 -1 -1 0 2 5 6 7 7 8 7 6 5 5 6 6 6 6 6 6 7 7 7 7 6 6 7 8 8 7 6 3 0 3 8 10 11 10 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 8 7 6 6 6 6 6 5 5 5 5 5 5 6 7 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 6 6 6 5 3 1 -2 -4 -5 -4 -1 2 4 5 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 7 8 8 7 6 1 -0 4 8 10 11 11 10 9 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 10 8 6 6 6 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 8 9 10 10 11 10 10 9 9 9 7 6 5 6 6 6 4 2 -1 -3 -4 -4 -2 1 2 3 4 5 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 7 7 8 7 5 2 2 5 8 10 11 11 11 10 9 8 7 7 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 11 11 8 6 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 7 7 7 8 9 10 11 11 11 10 8 7 5 5 4 4 5 6 7 7 7 6 5 3 0 -2 -3 -2 0 1 2 4 6 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 8 8 7 4 1 2 6 9 10 11 11 11 10 9 8 7 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 9 7 6 5 5 5 5 4 4 4 3 3 3 5 6 6 5 5 6 7 7 9 9 9 9 9 7 5 3 1 -0 -0 1 4 6 7 7 7 7 7 8 7 5 3 1 0 1 3 4 5 6 6 6 7 8 8 8 7 7 7 6 6 6 6 6 7 8 9 7 3 -1 2 6 8 10 10 11 11 10 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 5 5 5 4 4 4 3 3 3 5 6 7 5 3 3 4 5 6 5 5 5 4 3 2 -0 -2 -3 -3 -1 3 5 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 7 7 6 6 7 8 9 9 7 6 6 6 6 6 6 7 7 7 8 7 3 1 3 6 8 9 10 11 11 11 10 8 7 7 6 6 5 5 5 5 5 5 5 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 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 6 5 5 4 4 4 4 6 6 6 6 6 6 4 2 2 2 2 1 -0 -1 -1 -2 -2 -3 -3 -2 -2 0 3 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 9 8 7 6 6 6 6 6 7 6 6 7 5 2 1 4 6 7 8 9 10 11 10 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 6 5 4 4 4 4 6 9 10 8 6 5 5 4 3 3 3 1 -1 -2 -2 -2 -3 -4 -3 -1 2 4 5 6 7 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 8 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 6 6 6 4 1 1 4 6 7 8 8 9 10 10 10 9 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 5 4 4 4 5 6 8 10 10 8 5 5 5 6 6 6 5 3 1 2 3 3 2 1 2 4 6 7 7 6 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 3 1 2 4 6 7 8 8 9 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 5 5 5 6 6 7 8 9 9 8 6 5 6 7 7 7 8 7 6 6 6 7 6 6 5 6 7 7 7 7 6 6 7 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 6 4 2 2 4 6 7 8 8 9 9 10 10 10 9 9 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 6 6 6 7 8 8 9 9 8 7 6 6 7 8 7 7 7 8 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 8 8 9 8 8 8 8 7 7 7 7 7 7 8 8 6 3 1 2 4 6 7 8 8 9 9 10 10 10 9 9 8 8 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 8 8 7 7 8 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 6 1 -1 -0 3 6 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 7 6 6 5 5 5 5 5 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 8 7 6 7 8 8 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 8 9 10 10 8 8 7 8 8 8 7 7 7 8 8 6 1 -3 -3 1 5 6 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 6 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 8 7 7 7 8 7 3 -1 -3 -1 3 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 1 -3 -2 2 4 5 6 6 6 6 7 7 7 7 7 7 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 7 7 7 7 7 7 7 7 7 8 8 8 7 7 nan
nan 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 9 10 11 10 9 9 9 9 8 7 7 8 7 4 -0 -1 1 3 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 7 6 6 5 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 7 7 6 6 6 7 7 7 7 7 7 8 7 7 7 8 7 7 7 7 8 8 9 8 8 8 9 10 10 9 9 9 9 8 7 7 8 8 6 2 0 0 2 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 6 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 7 7 7 6 6 6 6 6 7 8 8 7 7 6 6 6 6 6 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 4 1 -0 1 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 6 7 7 8 8 8 7 7 8 8 8 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 7 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 9 8 8 7 8 8 8 8 7 4 -0 -2 -0 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 6 6 5 5 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 7 7 8 7 5 1 -2 -1 2 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 7 7 7 8 7 7 6 6 5 5 5 6 6 6 6 7 7 8 7 6 5 5 6 6 7 8 8 8 8 7 7 7 7 8 8 8 8 7 6 6 7 8 9 9 9 9 8 7 7 7 6 4 1 -1 1 4 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 6 6 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 7 6 5 5 6 7 7 8 8 8 7 7 7 7 8 8 8 9 8 7 7 7 8 9 9 9 9 8 7 7 7 7 7 4 0 0 2 5 7 8 8 8 8 8 8 7 7 8 8 8 7 7 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 7 6 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 7 7 6 6 6 7 8 9 9 7 6 6 6 6 6 6 7 8 8 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 6 3 1 0 2 5 7 8 9 9 9 8 8 8 8 8 8 8 7 6 6 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 7 6 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 8 9 8 8 7 6 5 5 6 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 9 8 8 8 8 8 8 8 8 9 8 8 8 8 7 6 3 -0 -1 1 4 6 8 9 9 9 9 9 9 8 8 8 7 6 6 5 5 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 8 7 6 7 7 7 7 7 8 8 9 9 9 10 9 9 8 8 8 8 8 8 9 9 8 7 7 8 8 7 6 5 5 6 7 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 5 2 -1 -2 -0 2 5 7 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 9 10 9 9 8 7 6 6 6 7 7 8 7 6 6 7 8 8 7 6 6 6 7 8 9 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 8 7 7 7 7 7 6 7 7 7 7 7 7 8 8 7 6 3 0 -1 -1 1 3 5 7 8 9 9 8 7 7 6 6 6 5 5 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 9 9 9 8 6 6 6 7 7 8 8 9 8 8 7 7 8 8 8 7 6 5 5 6 6 7 7 7 6 6 6 7 7 7 7 6 6 7 8 8 8 7 6 5 5 6 7 7 7 8 8 8 7 7 6 6 7 8 9 10 9 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 7 6 5 3 1 0 1 1 3 6 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 8 8 8 7 7 6 6 7 7 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 7 6 6 6 6 6 7 7 7 7 6 7 8 8 8 6 6 5 6 6 7 7 7 7 8 9 8 7 7 6 6 7 8 10 10 8 8 7 7 7 6 6 6 6 6 7 8 9 8 8 8 7 7 6 6 5 3 1 0 3 6 7 8 7 6 6 5 5 5 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 7 6 7 7 7 7 6 7 7 8 8 8 7 7 6 6 5 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 7 7 7 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 8 8 8 7 7 6 6 6 6 6 8 9 8 8 7 7 7 7 7 7 6 3 0 1 3 5 7 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 nan
nan 6 6 6 7 8 7 6 7 8 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 7 6 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 6 6 6 6 6 7 9 8 8 7 7 7 7 7 8 8 6 3 1 1 2 5 7 7 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 nan
nan 6 6 6 7 8 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 6 6 6 5 5 6 6 8 9 9 8 8 7 8 8 8 8 8 7 6 4 2 1 1 4 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 nan
nan 7 6 6 7 7 7 8 9 9 8 7 6 6 7 7 8 8 8 7 7 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 7 7 6 6 5 5 5 6 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 5 3 1 1 3 5 7 7 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 nan
nan 7 7 6 6 7 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 7 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 4 2 2 3 5 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 nan
nan 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 7 7 8 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 7 6 6 6 7 8 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 7 5 2 2 4 6 7 6 6 6 7 7 7 7 6 6 5 5 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 nan
nan 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 7 6 6 6 6 7 8 8 7 7 6 6 7 7 7 8 9 9 9 9 9 10 10 9 8 7 6 7 7 7 7 6 6 6 6 6 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 6 3 1 2 5 6 7 7 7 7 7 7 7 6 6 5 5 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 7 6 7 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 7 6 7 7 8 9 9 9 8 7 6 6 6 6 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 8 8 7 4 1 0 2 5 6 6 7 7 7 7 7 6 6 6 5 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 6 7 8 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 6 6 7 7 8 9 9 9 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 7 7 7 8 8 8 9 9 9 9 8 7 6 3 0 0 2 4 5 6 7 7 6 6 6 6 5 5 4 4 4 4 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 8 9 10 9 8 8 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 7 5 3 2 1 1 3 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 7 7 7 nan
nan 9 9 9 9 8 6 6 7 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 7 6 6 6 7 7 8 8 8 8 9 9 9 8 8 9 10 11 10 9 9 8 8 8 8 7 7 7 8 8 9 8 7 6 6 6 6 6 6 6 7 7 6 6 6 7 8 9 9 9 9 9 8 7 7 7 6 5 3 2 3 4 4 4 3 2 3 4 5 5 5 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 nan
nan 9 9 9 9 8 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 9 8 7 6 6 6 7 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 7 6 6 6 7 8 9 9 9 9 9 8 6 6 7 7 6 5 5 6 6 5 4 1 -0 1 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 nan
nan 8 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 8 7 6 7 7 8 9 9 10 10 9 9 9 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 6 7 6 6 6 6 7 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 5 2 -1 -0 2 4 4 5 5 5 5 5 5 4 4 4 5 5 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 8 9 9 8 7 6 6 7 7 7 7 7 8 8 7 7 7 7 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 6 6 7 7 6 6 5 6 7 8 9 9 9 8 6 6 6 6 6 6 7 7 7 7 7 6 4 1 1 1 3 4 5 6 6 6 5 5 5 4 4 4 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 9 9 8 7 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 7 7 6 6 5 6 6 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 5 5 6 7 8 8 9 8 7 6 6 6 6 6 6 7 7 7 7 7 6 5 4 3 2 2 3 4 6 6 6 6 6 5 5 4 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 10 9 7 6 5 6 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 6 5 5 5 5 5 6 6 6 6 5 5 6 7 7 8 8 9 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 5 5 6 7 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 7 7 6 6 5 3 3 3 4 5 6 7 7 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 9 8 6 5 5 6 7 7 7 7 7 8 8 8 8 9 9 9 10 9 8 7 6 6 6 6 6 5 5 6 6 6 5 5 6 7 8 8 8 8 9 9 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 5 5 5 6 7 8 8 8 7 6 5 6 6 6 6 7 7 8 8 8 7 7 6 6 6 5 5 4 4 4 5 7 8 9 9 8 7 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 nan
nan 9 9 7 6 5 5 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 6 6 6 6 6 5 5 6 7 8 8 8 9 9 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 6 6 6 7 7 7 8 9 9 9 9 9 9 9 8 7 7 7 6 5 4 5 6 7 8 8 8 8 7 6 6 6 6 6 7 7 8 9 9 8 7 6 6 6 6 6 6 5 5 4 5 7 9 11 11 10 8 5 3 3 4 5 6 6 6 6 7 7 7 7 7 6 6 6 6 nan
nan 9 8 7 6 6 6 6 7 7 7 7 7 8 9 10 11 10 10 9 9 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 7 6 6 5 6 6 5 6 7 8 9 8 8 9 9 9 8 8 8 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 9 11 11 9 6 2 0 2 4 5 5 6 6 6 7 7 7 7 7 7 6 6 6 nan
nan 9 8 7 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 8 7 7 6 6 6 5 4 5 7 9 9 8 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 9 9 8 8 8 9 9 9 8 7 7 6 6 7 7 7 6 6 7 7 7 7 7 8 9 8 5 0 -4 -2 1 3 5 5 6 6 7 7 7 7 7 7 7 6 6 6 nan
nan 9 8 7 7 8 8 7 7 7 8 7 7 7 8 8 8 8 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 6 5 4 4 5 6 8 8 8 7 7 7 8 8 9 9 9 8 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 5 1 -5 -6 -2 2 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 nan
nan 9 8 7 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 8 7 6 5 5 4 4 5 5 6 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 3 -2 -5 -3 1 4 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 nan
nan 9 8 8 8 8 8 8 9 9 8 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 7 8 8 9 9 9 8 8 7 7 8 9 9 8 8 9 9 9 9 9 7 6 5 5 5 5 4 4 5 7 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 7 2 -3 -3 1 6 8 8 7 6 6 6 7 7 7 7 7 7 6 6 6 6 nan
nan 9 8 8 8 9 9 9 10 10 9 7 7 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 7 6 5 6 6 6 6 5 6 6 7 7 8 8 8 9 8 8 8 8 7 8 10 11 11 10 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 6 3 0 3 8 12 12 10 8 7 6 6 6 7 7 7 6 6 6 6 6 6 nan
nan 8 9 9 9 9 10 10 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 10 10 9 7 6 6 6 6 6 6 6 7 8 9 11 11 10 9 9 8 8 8 7 6 6 6 7 7 8 8 7 6 6 7 8 8 7 7 6 6 6 6 6 7 8 8 8 7 6 6 7 8 10 11 10 9 9 9 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 7 5 6 11 15 15 13 11 9 8 7 6 5 6 6 6 6 6 6 6 6 7 nan
nan 8 9 10 10 11 11 10 9 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 9 10 11 10 9 6 6 6 7 7 7 7 6 6 7 9 10 11 11 10 10 9 9 8 7 5 4 4 5 7 8 8 7 7 7 8 9 9 8 7 6 6 6 5 5 6 7 7 7 6 6 6 7 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 7 9 12 13 12 11 11 10 8 6 4 4 5 5 6 6 6 6 6 7 7 nan
nan 7 9 11 12 12 11 10 8 7 6 6 7 7 8 8 8 7 7 7 8 9 9 9 8 7 7 7 9 10 10 8 7 7 8 9 9 8 7 6 6 6 7 9 9 10 11 11 11 10 9 8 6 5 5 7 8 10 10 8 8 8 10 10 10 9 8 7 7 7 6 5 6 6 6 6 6 6 6 8 8 8 7 7 8 8 7 8 9 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 8 8 8 9 9 9 9 8 7 4 1 2 4 5 6 6 6 6 6 7 7 nan
nan 8 9 11 11 11 11 9 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 7 6 5 6 7 8 9 9 9 9 11 12 11 8 7 6 6 6 6 7 8 9 10 11 12 11 10 9 9 9 10 11 12 12 12 10 8 8 9 10 10 9 9 8 9 9 8 7 7 7 7 6 6 5 7 7 7 7 7 8 8 8 7 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 8 8 7 6 4 3 3 2 -1 -1 2 4 5 6 6 6 6 6 6 6 nan
nan 9 9 10 11 11 10 8 7 7 7 7 7 8 9 9 10 10 10 9 9 8 7 7 6 5 5 6 7 8 9 9 10 10 11 12 11 9 8 7 6 6 6 6 7 8 9 10 10 10 11 11 12 13 14 14 15 14 13 11 8 7 7 9 10 9 9 9 9 10 9 9 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 7 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 8 4 1 -3 -4 -4 -5 -5 -2 3 5 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 11 11 11 9 8 7 7 7 6 5 5 6 8 10 10 10 10 9 10 10 10 9 8 7 7 6 6 6 6 6 7 7 8 9 11 11 12 13 15 15 16 15 13 11 8 6 6 8 9 9 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 9 10 10 10 11 11 10 10 10 10 10 9 9 9 10 9 6 2 -2 -5 -5 -4 -4 -1 3 6 7 7 7 6 6 6 5 5 5 nan
nan 10 10 10 10 10 9 9 8 9 9 10 10 9 9 9 10 10 10 8 7 7 8 8 6 5 5 7 10 12 12 11 10 10 10 10 9 9 8 8 7 7 7 6 6 5 5 6 7 8 9 9 10 11 12 14 15 15 14 11 9 8 8 8 8 7 7 8 8 8 9 10 11 11 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 8 7 7 7 8 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 5 4 3 2 2 3 3 5 7 8 8 7 7 6 6 5 5 5 5 nan
nan 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 9 10 9 8 7 9 10 9 7 6 6 8 10 11 11 10 9 10 10 10 10 10 10 9 8 7 7 7 7 6 6 6 6 7 7 7 7 8 9 10 12 13 13 12 11 10 9 9 8 7 7 8 8 7 7 9 10 11 10 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 11 12 11 11 9 8 8 9 10 9 7 7 7 8 9 9 7 6 6 8 8 8 7 6 6 5 5 5 5 5 nan
nan 9 8 8 8 8 8 8 8 8 8 7 6 7 8 9 10 10 9 8 8 10 10 9 8 6 7 8 9 9 9 9 9 9 9 10 10 11 11 11 9 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 9 10 12 13 12 10 9 9 9 9 9 8 7 6 6 7 8 8 9 10 11 11 10 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 9 10 10 9 9 9 10 10 8 4 3 4 7 7 7 7 6 6 5 5 5 5 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
4 8 13 15 20 23 25 28 30 35 42 48 50 50 46 41 38 39 40 42 50 50 50 51 50 46 37 28 21 15 11 10 6 4 3 2 2 3 5 8 11 18 26 41 57 73 74 64 55 42 24 13 10 12 20 18 18 28 28 26 27 28 22 13 11 13 8 8 7 6 5 4 3 1 0 2 4 2 0 0 1 11 38 83 110 103 99 106 120 140 148 145 138 107 81 61 47 43 41 37 34 30 36 54 76 95 104 109 117 119 123 126 132 157 212 268 284 309 351 374 383 398 391 375 433 453 451 443 486 524 530 540 566 597 655
4 8 12 13 19 22 24 27 31 36 43 50 54 51 44 35 28 25 28 32 36 35 32 30 29 27 24 19 17 14 12 11 9 6 4 3 4 6 7 10 16 37 41 50 83 87 59 32 20 15 13 13 10 6 8 7 8 13 14 12 12 12 11 7 7 6 3 2 0 0 0 1 0 0 1 0 2 2 1 0 1 13 38 56 55 47 57 76 99 106 104 92 73 56 45 34 30 31 35 33 29 29 32 36 40 49 52 48 54 54 52 48 46 61 119 186 223 238 253 279 309 332 329 299 299 314 343 368 386 413 442 462 465 450 456
3 5 13 12 17 22 24 28 33 40 49 59 66 70 69 46 32 22 18 18 20 21 21 20 19 19 17 13 14 13 12 12 10 9 8 7 8 9 14 27 28 46 63 86 99 70 29 11 10 11 6 3 0 0 1 4 6 7 5 5 8 6 3 3 6 4 2 0 0 0 0 0 0 1 1 0 1 2 1 0 0 11 31 38 31 29 35 46 60 60 56 50 43 45 47 31 32 33 37 33 28 28 29 30 31 32 31 27 27 28 26 30 40 55 78 111 129 125 117 139 180 188 168 166 176 191 221 264 291 313 349 381 396 380 368
9 11 14 13 17 22 26 30 34 42 54 67 87 141 209 143 66 30 14 10 12 16 16 17 17 18 17 13 12 11 9 9 11 12 15 19 19 25 36 45 46 60 84 94 67 30 11 12 18 9 1 0 0 0 1 2 3 4 2 1 3 1 1 1 2 3 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 11 28 32 24 21 24 30 32 32 33 34 35 43 61 51 40 33 32 29 26 28 30 29 28 28 28 26 26 26 27 34 55 80 100 112 99 67 72 89 104 122 128 119 116 122 136 155 166 189 236 271 293 301 305
13 17 18 17 19 25 29 32 36 42 51 65 95 169 216 131 61 29 15 11 14 17 17 15 16 17 18 16 13 10 10 11 12 13 17 26 30 32 53 66 58 54 47 29 13 8 7 7 5 2 0 0 0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 3 16 41 40 32 29 30 32 31 31 31 34 38 43 62 53 36 30 28 27 28 30 32 29 24 25 28 28 28 35 49 65 77 80 92 109 95 63 69 83 84 96 98 80 67 70 73 69 82 103 133 162 184 203 221
14 17 19 18 20 24 28 32 35 37 44 55 71 96 93 59 35 21 15 13 12 12 14 13 14 18 22 22 17 14 13 15 21 28 35 52 101 131 142 114 56 28 15 10 11 10 5 2 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 5 28 51 50 44 42 42 41 39 38 38 39 42 47 50 41 34 30 30 30 31 32 33 30 25 25 30 31 31 42 68 73 41 41 53 63 60 57 66 72 67 68 64 48 45 59 69 65 66 74 87 103 115 127 149
13 16 16 17 19 22 28 31 31 31 35 41 48 47 36 27 18 13 12 12 12 13 15 16 19 23 29 36 29 26 28 37 58 96 161 250 243 149 84 28 8 6 7 11 12 7 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 34 55 60 53 51 52 49 46 45 45 45 46 46 42 39 37 35 35 35 36 38 40 34 29 29 34 36 35 38 53 65 44 43 42 40 39 44 63 73 65 53 45 43 38 66 73 69 68 74 81 87 93 99 115
13 14 14 17 19 22 26 28 26 26 29 32 35 31 24 18 14 13 13 15 19 22 25 27 31 47 63 69 64 56 60 86 132 185 210 202 97 32 21 12 10 13 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 40 63 70 69 77 74 60 52 49 49 50 49 49 45 41 38 38 39 43 53 45 43 40 36 35 36 39 40 38 39 40 38 42 51 49 44 47 63 77 73 52 40 47 35 50 55 58 68 76 77 81 83 89 102
12 15 17 19 19 19 20 22 24 25 28 28 28 24 21 18 17 18 21 26 30 35 42 47 54 97 129 134 144 149 135 119 138 160 97 35 18 15 20 22 20 16 9 3 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 1 12 40 59 71 76 79 83 81 71 55 50 51 53 53 52 47 43 40 38 39 44 60 47 45 43 40 37 35 37 38 37 36 36 38 42 51 56 53 54 59 56 45 40 38 38 34 35 37 42 53 62 62 65 67 72 77
13 18 19 20 19 19 19 21 23 24 25 24 23 21 20 20 20 23 28 37 47 58 74 82 89 118 141 161 183 182 133 74 61 47 20 12 18 24 25 18 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 27 62 73 74 77 82 86 86 76 55 51 50 53 54 51 47 44 42 41 41 43 49 47 42 39 37 35 34 34 34 34 33 36 36 35 37 41 44 44 43 41 41 37 36 34 31 30 32 34 36 45 51 53 54 58 60
26 27 21 19 19 20 21 21 20 20 21 21 22 21 22 24 26 34 53 79 98 123 135 112 101 94 90 99 111 102 68 35 26 20 17 24 26 21 15 7 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 3 30 56 63 63 68 77 87 94 87 61 53 51 51 52 52 51 49 47 47 48 46 45 43 39 37 34 32 31 30 30 30 31 33 33 32 32 34 36 38 36 36 35 33 32 30 28 28 28 30 31 36 42 44 47 51 52
57 47 29 21 18 18 18 18 18 19 20 22 24 27 31 37 43 76 149 208 215 195 140 89 65 50 38 37 43 45 42 39 30 24 21 20 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 36 45 47 50 56 67 82 79 65 57 53 52 54 55 53 53 51 51 50 48 45 39 36 34 32 31 30 27 25 25 27 29 29 29 29 30 35 39 38 36 34 32 30 27 25 24 23 23 25 28 31 34 36 38 40
69 56 41 32 26 23 25 26 27 32 38 39 38 58 91 132 192 258 288 254 198 135 80 50 39 31 26 27 33 39 43 37 25 20 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 24 33 36 39 45 52 59 60 60 57 54 54 56 56 55 54 52 51 48 46 42 37 33 31 31 29 27 25 22 21 21 22 23 23 22 25 34 39 39 36 34 30 27 25 23 21 18 17 18 19 21 24 27 30 32
66 59 69 69 61 62 71 72 77 88 103 99 106 118 125 125 124 126 126 122 107 82 58 50 43 35 30 29 34 46 53 42 20 12 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 1 3 9 17 26 31 37 43 49 54 57 57 55 53 54 55 55 53 51 48 46 43 40 37 34 31 32 30 27 26 23 20 17 16 16 15 15 15 19 30 37 36 34 31 27 24 24 23 19 15 13 12 13 14 16 17 22 25
101 127 143 133 116 120 140 155 170 157 137 103 76 61 54 53 55 62 71 64 55 54 49 48 44 37 33 34 41 53 58 30 13 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 1 3 6 12 21 30 37 44 47 50 53 53 51 50 51 52 52 48 45 41 38 35 32 31 30 29 28 27 26 24 21 18 14 13 12 11 11 10 14 24 31 31 30 28 24 20 21 24 20 16 12 10 9 10 10 10 12 15
173 200 191 154 125 128 147 167 169 137 100 66 41 30 31 35 40 41 39 36 33 33 31 32 29 23 21 23 30 42 51 25 8 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 1 3 5 11 21 31 38 43 45 45 47 47 46 45 46 47 47 42 37 32 29 27 27 27 28 27 26 25 24 22 20 16 12 11 11 10 9 9 10 16 22 25 26 26 23 18 19 21 20 17 13 10 9 9 9 9 9 9
194 169 113 69 65 87 100 106 96 78 62 48 39 34 34 37 37 34 30 31 33 33 31 31 25 12 7 7 10 19 29 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 1 4 5 8 18 29 37 41 42 42 42 42 41 41 41 42 40 35 30 26 24 23 24 25 26 25 24 23 22 19 17 13 9 7 5 6 8 8 8 11 15 19 22 22 20 17 18 19 18 14 11 10 9 9 9 8 8 8
105 67 29 8 18 47 61 59 53 49 50 50 55 55 50 46 38 33 36 47 51 44 34 33 28 13 9 6 5 7 11 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 2 4 5 6 14 24 32 38 40 40 38 38 38 38 38 38 36 31 25 22 22 21 21 21 22 21 21 20 17 14 11 8 6 5 5 5 6 7 7 8 9 10 15 16 14 14 15 15 13 12 11 10 8 8 8 7 7 7
19 11 5 3 8 22 30 26 38 41 49 57 66 68 56 44 42 52 66 66 46 25 10 6 9 10 13 15 12 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 13 20 29 36 40 40 37 37 36 36 36 36 34 28 22 20 21 20 20 19 19 18 17 15 12 9 6 4 4 3 3 3 4 5 6 6 7 6 9 10 9 10 11 10 9 8 7 7 7 7 6 6 5 5
2 2 2 3 4 8 9 8 31 40 49 60 70 68 51 38 45 69 80 46 18 6 2 0 0 2 7 10 8 9 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 14 21 28 35 41 41 36 36 35 34 35 36 34 28 22 20 20 20 19 17 16 14 11 8 7 5 3 2 1 1 1 1 2 3 4 4 5 5 6 6 6 6 8 8 7 6 5 5 5 6 5 5 5 5
1 1 2 2 3 3 3 4 22 33 44 58 69 68 55 47 48 62 45 19 5 1 0 0 0 0 1 1 1 3 5 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 19 25 29 34 40 38 36 34 34 34 34 33 28 23 21 19 18 16 14 11 8 6 4 2 1 1 0 0 0 0 0 1 1 1 2 3 4 4 4 5 5 7 7 6 5 5 5 5 5 5 5 5 5
1 2 2 2 3 3 3 3 10 22 40 55 58 52 45 46 56 61 35 12 2 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 1 3 7 12 17 25 28 33 38 39 37 35 34 34 35 33 25 20 18 17 14 11 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5
1 2 2 2 2 2 3 4 8 23 44 60 64 61 50 39 42 39 21 6 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 2 6 11 18 24 28 31 34 37 38 37 35 33 32 29 21 17 15 12 9 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 4 4 4 4 4 5 5 5
1 1 2 2 3 3 3 4 10 30 44 43 46 45 22 18 34 30 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 24 27 29 30 32 35 36 34 29 24 20 16 14 11 7 4 3 1 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 3 3 3 3 4 4 4 4 5
2 2 2 2 2 3 3 3 22 38 29 15 16 13 9 21 22 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 22 26 28 29 30 31 32 29 22 17 14 11 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 3 4 4 4
2 2 2 3 3 3 3 3 10 13 9 5 5 6 16 28 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 17 23 27 29 29 28 27 23 16 11 8 6 4 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 1 1 2 1 1 1 2 3 3 4 4
1 2 2 2 2 2 2 2 2 3 5 8 9 31 43 28 9 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 3 6 12 18 23 26 26 25 22 16 11 8 5 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 1 1 1 0 1 1 2 3 4 4
1 1 1 1 2 2 2 2 2 2 7 14 14 8 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 4 8 12 15 19 20 18 14 10 7 4 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 1 2 2 3 3 4
1 1 1 1 1 2 2 1 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 11 10 8 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4
2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4
2 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3
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 2 2 3
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 1 1 1 1 1 1 0 0 1 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 1 1 1 1 1 2 1 0 1 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 1 1 1 1 1 2 1 1 1 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 1 2 2 1 1 1 2 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 1 0 0 1 2 2 2 2 2 2 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 1 1 1 0 1 1 2 3 3 2 2 2
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 1 1 1 1 1 1 2 2 2 1 1 2 2 3 3 3 2 2
2 1 1 2 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 1 1 1 1 1 1 1 2 2 3 2 2 2 2 2 2 3 2 3 3
3 2 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 2 2 3 4 3 3 2 2 2 3 3 3 3
5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 2 2 2 4 5 6 5 4 3 4 3 3 3
7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 3 3 3 3 3 4 6 6 6 5 4 3 3
5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 4 4 4 3 2 4 5 6 6 6 5 3
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 3 3 4 4 4 4 4 4 4 5 5 6 7 6 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 1 1 2 3 3 3 4 4 4 4 5 5 5 5 4 4 5 6 7 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 1 2 2 3 3 3 4 4 4 5 5 5 5 4 4 4 4 6 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 4 5 5 5 5 4 4 4 3 5 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 4 5 4 4 4 4 4 4 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 4 4 4 4 4 4 4 4 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 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5 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 1 2 2 2 2 3 4 4 4 4 4 4 4 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 3 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 1 1 1 2 2 2 3 2 2 2 2 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 1 1 1 2 2 2 2 2 2 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 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 2 2 2 2 1 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 2 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 7 11