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 4 6 8 10 11 10 9 9 12 15 18 22 23 22 18 13 9 6 6 9 13 17 18 16 11 7 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 4 5 5 5 6 7 9 12 15 16 14 8 6 8 9 9 9 8 8 7 7 6 6 6 7 7 6 5 4 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 4 6 8 8 7 5 4 5 8 10 13 15 16 15 13 10 8 6 7 8 11 13 14 13 10 8 7 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 6 7 10 12 15 16 13 9 7 8 8 8 8 8 7 6 6 6 5 5 7 7 6 5 4 3 3 4 6 7 7 7 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 7 7 7 7 6 6 5 6 6 6 6 6 nan
nan 3 3 3 4 4 5 5 4 4 3 4 5 7 8 10 11 11 10 9 7 6 6 6 6 7 8 8 8 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 11 13 14 12 10 9 9 9 8 8 8 8 7 6 6 6 5 5 6 8 7 5 3 2 2 4 7 7 7 7 7 7 7 7 7 7 6 6 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 7 7 7 6 6 6 6 6 5 5 5 nan
nan 3 3 4 4 3 3 3 3 4 5 6 7 7 7 7 7 6 6 5 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 8 12 14 13 10 7 8 9 8 8 8 8 7 6 6 6 5 4 4 6 8 8 5 2 0 2 6 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 5 nan
nan 3 3 3 3 2 2 3 4 6 7 8 8 7 6 5 4 3 3 3 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 11 15 14 10 6 6 7 7 8 8 8 7 6 6 6 5 4 4 5 7 7 4 -0 -1 3 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 6 6 8 8 7 6 6 6 6 6 7 9 9 9 8 7 6 6 6 nan
nan 3 2 2 2 2 2 4 6 8 9 9 9 7 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 5 7 10 15 16 11 7 6 6 6 8 8 7 6 6 6 6 5 5 5 5 5 4 1 -3 -2 4 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 8 9 9 8 7 6 6 6 7 10 13 13 12 10 8 7 6 6 nan
nan 3 2 2 2 3 3 5 7 8 8 8 8 7 6 5 5 5 5 5 5 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 6 9 13 15 13 10 7 6 6 7 8 6 5 5 6 6 6 6 8 8 6 2 -3 -6 -2 5 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 9 8 8 7 7 7 7 9 14 18 19 15 11 8 7 6 6 nan
nan 3 2 2 3 3 4 5 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 9 12 14 13 11 9 7 7 8 7 5 4 5 5 5 6 7 8 9 7 2 -4 -6 -1 5 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 7 8 11 15 19 20 17 11 8 6 6 6 nan
nan 3 3 3 4 4 5 6 6 6 6 5 5 5 5 5 6 5 5 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 4 4 4 4 4 5 5 5 5 5 5 7 8 10 13 14 12 9 8 8 9 7 5 4 5 6 6 6 6 8 8 8 3 -3 -5 0 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 12 12 11 10 9 9 8 10 14 17 17 14 11 9 8 7 7 nan
nan 4 4 4 4 5 5 6 6 6 5 4 4 5 5 5 5 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 8 10 13 14 13 10 8 9 9 7 5 5 6 6 6 6 7 8 9 8 4 -1 -3 2 7 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 14 13 13 13 14 14 14 15 14 14 13 12 11 11 12 14 15 15 13 12 11 11 10 10 nan
nan 4 4 4 5 5 6 6 6 5 4 4 4 5 5 5 5 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 7 9 11 12 14 14 12 9 8 9 8 6 5 5 6 6 6 6 7 8 8 7 3 -1 -0 4 10 12 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 16 16 16 15 15 14 14 14 15 15 16 15 15 15 14 14 14 15 15 15 15 14 13 13 13 12 nan
nan 4 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 6 6 5 6 6 8 9 10 12 14 15 16 14 11 8 8 8 6 5 5 5 6 6 6 6 7 8 7 4 1 0 4 9 13 15 16 16 16 16 15 15 15 15 15 15 15 15 15 15 16 16 16 16 17 17 17 17 17 17 17 17 17 17 16 16 15 14 14 14 14 15 15 15 15 15 15 14 14 15 14 14 14 14 14 14 14 nan
nan 5 5 5 5 6 6 6 5 4 4 4 4 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 6 6 6 6 6 7 7 8 8 8 9 10 11 12 14 15 17 17 15 11 8 8 6 5 4 5 5 6 7 7 6 7 8 7 3 1 3 9 14 17 18 18 18 17 17 17 16 16 17 17 17 17 17 17 17 17 17 17 18 18 18 19 18 17 17 16 16 16 15 16 15 15 14 14 13 13 14 14 14 14 14 14 13 13 12 12 11 11 12 12 12 13 nan
nan 4 4 5 5 6 6 5 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 10 10 10 11 11 12 13 13 13 14 14 13 10 8 7 6 5 5 5 6 7 7 7 7 7 8 6 3 3 8 14 18 19 19 19 18 18 17 17 17 16 17 17 18 17 17 17 17 17 17 16 16 16 16 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 11 nan
nan 1 1 3 6 6 6 5 4 4 4 5 4 4 5 5 6 6 6 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 9 10 11 11 11 11 12 12 12 12 11 9 8 8 8 6 6 6 6 6 6 6 7 7 7 7 7 8 8 6 4 6 12 17 20 20 19 19 18 17 16 15 15 15 15 15 16 16 15 15 15 15 14 13 12 12 11 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 9 9 10 10 11 11 10 10 9 9 10 10 nan
nan -2 0 5 8 8 6 5 4 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 4 5 7 8 10 11 12 12 12 12 12 12 11 10 8 5 3 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 6 5 6 11 16 19 19 19 18 18 16 15 13 12 12 11 11 12 12 12 11 11 11 11 10 9 8 8 7 6 6 6 6 6 6 5 4 4 4 5 5 6 6 6 6 6 6 7 6 7 7 8 9 10 10 10 10 10 10 10 nan
nan 0 5 10 11 9 6 5 5 6 6 6 6 6 7 7 7 6 6 5 5 5 6 5 5 4 4 4 4 5 5 5 5 4 3 2 2 1 1 1 2 3 4 6 8 9 11 11 11 11 11 10 10 10 10 9 7 5 4 4 4 5 6 6 6 6 7 7 7 7 7 7 7 6 4 5 9 14 18 19 18 17 16 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 7 8 9 10 10 10 10 11 nan
nan 7 11 13 12 9 6 5 6 7 7 7 7 7 8 8 7 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 3 2 1 0 -0 -0 0 1 3 5 7 9 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 7 5 4 6 11 16 18 17 15 14 12 10 9 8 7 7 6 6 7 7 6 6 6 7 7 7 7 6 6 6 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 7 7 8 9 9 9 10 nan
nan 12 12 12 9 7 6 6 7 7 7 7 7 8 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 1 1 0 -0 -0 -0 1 3 6 7 8 7 7 6 6 6 5 5 6 6 7 8 7 7 8 8 7 6 6 6 6 6 6 7 7 8 8 8 7 5 5 8 14 16 15 13 11 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 nan
nan 11 10 8 7 6 7 8 8 8 7 7 8 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 1 1 1 0 -0 1 3 5 5 5 5 4 4 5 6 6 6 5 6 6 7 7 7 8 8 7 7 7 7 6 6 6 7 8 8 8 7 5 4 6 11 15 15 12 10 7 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 8 7 7 6 6 8 9 9 8 8 8 8 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 1 1 1 2 3 3 3 3 2 1 1 1 1 1 1 2 3 4 5 6 7 7 6 5 6 7 7 7 7 7 7 7 7 7 7 6 6 8 8 8 8 7 4 3 7 13 15 13 11 8 6 5 6 7 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 nan
nan 7 8 7 6 7 8 9 9 9 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 4 3 1 -2 -3 -3 -2 1 3 5 6 6 7 7 6 6 7 7 6 7 7 7 7 6 6 6 6 6 8 8 8 8 7 4 4 9 13 14 12 10 8 7 6 7 7 7 7 6 6 6 5 5 6 5 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 5 6 6 6 5 5 5 6 6 6 6 nan
nan 9 10 9 6 6 8 9 9 9 8 7 6 4 3 3 3 4 4 4 5 5 5 5 5 6 6 6 7 6 6 6 5 6 6 6 6 6 7 6 5 3 0 -2 -4 -3 -1 1 3 4 4 6 7 7 7 7 7 7 7 8 8 7 6 6 6 6 7 8 8 8 8 6 4 5 9 12 12 11 10 9 8 8 7 7 7 6 6 5 5 5 5 5 5 5 6 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 6 6 5 5 5 5 5 5 5 5 5 6 5 5 nan
nan 11 11 9 6 6 7 9 9 8 6 5 3 2 2 3 3 4 4 5 5 6 7 7 8 8 9 10 10 9 8 7 6 5 5 5 6 7 7 7 7 6 5 3 1 -1 -2 -0 1 2 3 4 6 7 7 8 8 8 8 8 8 7 6 6 6 6 7 8 8 8 8 5 3 5 9 12 11 10 9 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 10 8 6 6 7 8 8 6 4 2 2 2 3 3 4 4 4 5 6 7 8 9 9 9 10 10 9 8 5 3 2 2 3 4 6 7 7 7 7 7 7 7 5 3 2 1 2 3 4 5 6 6 7 7 8 9 9 8 7 6 6 5 6 6 7 7 8 9 9 6 4 6 9 11 11 10 8 7 7 7 7 7 7 7 7 7 6 6 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 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 nan
nan 9 8 7 7 7 6 5 4 3 2 2 3 4 4 4 3 2 3 4 5 6 6 6 5 5 5 5 4 3 1 -1 -1 1 4 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 7 6 7 8 9 9 8 7 6 6 5 6 6 7 7 7 8 8 6 6 8 10 10 10 9 8 7 6 6 6 6 7 7 7 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 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 8 8 8 7 6 3 2 1 2 2 3 4 4 3 3 2 1 1 2 3 3 2 -0 -1 -0 -0 -1 -1 -1 -1 -0 2 4 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 8 7 6 6 6 6 7 7 7 7 7 7 5 6 8 9 9 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 8 9 8 6 4 2 2 2 4 5 6 6 4 3 3 3 3 3 3 3 1 -1 -1 -1 -0 -1 -2 -2 0 3 5 6 7 7 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 8 7 6 6 6 6 7 7 7 7 7 6 4 5 7 8 9 8 8 8 7 6 6 5 5 4 4 4 4 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 8 8 7 6 4 3 4 6 7 7 8 7 4 2 3 4 5 6 6 5 2 2 3 4 4 3 2 3 5 6 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 6 7 7 8 8 7 7 7 8 9 9 8 8 7 6 6 6 6 7 7 7 7 8 7 5 4 5 7 8 8 8 8 7 7 7 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 nan
nan 7 7 6 6 5 5 6 7 8 8 8 7 5 4 4 6 6 7 8 7 6 6 6 6 6 6 6 7 7 8 7 7 7 6 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 6 6 6 7 7 7 8 8 7 5 4 4 6 7 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 7 7 7 6 6 6 7 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 9 9 8 9 10 10 9 8 8 7 6 6 6 7 7 8 8 7 4 2 3 5 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 7 7 7 6 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 7 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 10 10 9 8 7 7 6 6 6 7 7 8 8 5 1 -2 -0 3 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 10 11 11 10 8 7 7 7 7 7 7 7 8 8 5 1 -3 -2 2 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 nan
nan 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 11 10 9 8 8 8 7 7 7 7 8 8 6 3 -1 -2 2 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 8 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 8 7 8 8 7 8 8 7 5 1 -1 1 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 5 6 6 7 8 8 8 8 9 9 8 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 7 7 7 7 7 7 8 9 10 10 10 10 11 12 10 8 7 8 8 8 7 7 8 7 4 1 2 4 6 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 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 6 7 7 7 7 7 7 8 9 9 9 10 10 11 11 10 8 7 7 8 8 8 8 8 8 6 3 3 4 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 7 4 2 2 3 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 7 4 0 -1 1 3 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 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 7 nan
nan 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 6 7 7 7 8 8 7 5 1 -2 -1 1 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 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 7 7 7 7 6 6 6 6 7 nan
nan 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 7 7 6 6 5 6 6 6 6 6 7 8 8 7 6 5 5 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 9 7 6 7 8 8 7 7 8 8 7 8 8 7 4 -0 -2 -1 1 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 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 7 7 7 7 7 7 7 6 6 7 nan
nan 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 7 5 5 5 5 6 6 7 6 7 7 7 8 9 9 10 10 11 10 8 7 7 8 8 8 8 9 8 8 8 8 8 6 2 -2 -3 -1 1 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 8 7 7 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 6 7 nan
nan 8 9 8 8 7 7 7 7 6 6 7 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 6 6 6 7 7 8 9 9 10 10 10 11 11 10 8 8 8 8 8 8 9 9 8 8 8 8 8 5 1 -2 -3 -2 0 2 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 9 8 7 6 6 6 6 5 5 6 7 8 8 9 9 10 10 10 11 11 10 8 7 7 7 8 8 8 9 9 8 8 8 8 7 4 1 -3 -4 -3 -1 1 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 7 7 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 8 7 7 6 6 5 6 7 9 10 8 7 6 6 6 6 6 6 7 7 8 9 8 9 9 10 10 11 10 9 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 5 1 -3 -4 -4 -2 -0 2 3 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 7 6 6 7 7 8 7 6 6 6 7 8 9 8 7 6 6 6 6 7 7 7 8 9 9 8 8 8 9 10 10 10 9 7 6 6 7 8 8 8 8 8 8 8 7 8 8 8 7 6 3 -1 -3 -4 -4 -2 0 2 5 6 6 5 5 4 5 5 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 8 7 7 6 6 6 6 6 7 7 6 6 6 6 7 8 7 7 6 6 7 8 8 7 6 5 5 5 6 7 7 7 8 10 10 9 8 8 8 8 9 10 10 9 7 6 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 5 2 -1 -2 -3 -3 -0 3 5 6 5 4 4 4 5 6 6 6 6 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 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 6 6 7 8 8 7 7 6 5 6 6 7 7 7 8 9 10 9 8 7 7 7 7 8 9 10 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 4 1 -2 -2 -0 3 4 5 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 nan
nan 7 7 7 7 7 8 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 7 8 7 7 7 7 9 9 9 8 8 8 7 7 7 8 9 9 8 7 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 6 2 -2 -3 -2 1 3 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 9 8 8 7 7 8 9 9 9 9 8 8 7 6 6 8 8 8 8 8 8 8 8 8 8 7 6 7 9 9 8 8 8 8 8 8 8 7 5 1 -2 -4 -4 -1 2 3 4 4 5 5 5 6 6 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 6 6 7 7 7 7 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 5 5 6 8 8 9 8 7 7 8 8 7 6 6 7 9 10 9 8 8 9 9 8 7 7 7 5 2 -2 -5 -5 -2 1 3 5 5 6 6 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 6 7 7 7 7 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 7 6 5 6 7 8 9 8 7 7 7 7 6 6 6 8 9 10 10 9 9 10 9 8 7 7 7 7 6 3 -1 -4 -5 -3 1 5 6 7 7 7 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 nan
nan 7 7 7 7 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 8 8 9 9 9 9 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 7 6 6 8 9 10 10 9 10 10 10 9 8 7 7 8 7 7 5 1 -3 -4 -2 3 7 8 7 7 7 7 6 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 nan
nan 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 9 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 6 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 10 10 8 7 7 8 9 10 9 9 9 10 10 9 9 8 8 8 8 8 7 6 2 -3 -3 1 6 8 8 7 7 7 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 9 9 9 8 7 7 6 6 7 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 6 6 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 5 -0 -3 -2 3 6 7 7 6 6 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 nan
nan 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 7 8 8 8 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 8 8 7 7 6 6 7 7 6 6 6 7 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 2 -3 -4 -2 2 4 5 5 5 4 4 4 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 nan
nan 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 8 8 9 9 9 8 8 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 9 9 9 9 8 5 0 -4 -5 -3 -1 2 3 3 3 3 3 4 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 nan
nan 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 7 7 7 6 7 7 7 8 8 8 9 10 10 10 9 9 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 9 9 9 8 8 5 1 -3 -5 -4 -2 0 0 -0 -0 1 3 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 8 8 8 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 8 7 7 6 6 7 7 8 8 9 9 10 10 9 9 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 6 5 6 6 7 8 8 8 8 9 8 8 8 8 8 8 8 7 8 8 8 8 7 8 8 6 3 -0 -2 -1 0 -0 -2 -3 -3 0 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 8 8 9 9 8 7 6 6 6 7 7 7 7 8 8 7 7 6 7 7 8 8 9 9 9 8 8 8 8 8 8 9 10 11 10 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 6 5 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 4 4 5 3 -0 -4 -6 -3 2 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 nan
nan 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 8 8 7 8 8 8 9 9 10 9 8 8 7 7 8 9 9 9 8 8 8 8 7 7 7 8 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 8 8 8 7 4 -1 -6 -5 -1 2 4 5 6 6 6 7 7 8 8 8 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 8 7 6 6 6 7 8 8 8 7 7 7 7 8 8 9 10 9 9 8 7 7 7 6 6 7 8 8 8 8 8 8 9 10 10 9 9 9 9 9 8 8 7 7 7 6 7 7 8 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 9 9 8 8 8 7 3 -2 -4 -4 -1 2 4 6 6 6 6 7 8 8 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 8 8 9 9 7 5 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 7 6 5 4 4 5 6 7 7 7 6 6 6 7 8 9 9 10 10 8 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 7 6 6 7 7 8 8 9 8 8 8 8 8 8 7 8 8 8 8 8 7 7 6 3 0 -3 -3 -2 1 4 5 6 6 7 8 8 9 9 9 8 7 7 6 6 5 5 6 6 6 6 6 6 7 7 7 nan
nan 8 9 9 8 6 5 6 7 7 7 7 7 8 8 7 7 7 7 7 8 7 7 6 5 4 4 4 4 4 5 6 6 7 7 6 7 7 8 8 9 10 10 8 7 7 7 8 8 9 9 9 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 6 6 6 7 8 9 9 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 5 1 -1 -3 -2 0 3 5 6 7 7 8 9 9 9 8 7 7 6 6 6 5 5 6 6 6 6 6 6 6 7 nan
nan 8 8 8 7 6 5 6 7 7 7 7 7 8 8 8 7 8 8 9 9 8 7 6 6 5 5 6 6 5 5 6 6 6 6 6 7 7 8 8 9 10 10 9 7 7 8 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 4 1 -2 -3 -0 2 5 7 7 7 8 8 8 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 7 nan
nan 8 8 8 7 6 6 7 7 6 6 6 7 7 8 8 9 10 10 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 6 7 7 8 9 10 10 9 9 8 9 8 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 7 7 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 5 2 -1 -1 1 4 7 7 6 5 5 5 6 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 nan
nan 8 7 7 6 7 7 7 6 6 6 6 6 7 9 10 10 10 10 9 8 8 8 8 8 7 6 6 6 6 7 7 7 6 5 5 6 7 8 9 11 11 11 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 7 6 5 6 7 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 5 4 2 2 4 7 7 4 1 -1 2 6 7 7 6 6 6 5 5 5 5 5 6 6 6 6 7 nan
nan 8 6 5 6 7 8 7 6 6 6 7 7 8 9 10 10 10 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 8 10 11 11 11 10 10 9 8 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 5 4 5 7 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 5 5 6 7 8 7 6 6 5 5 6 6 6 7 6 6 6 6 6 7 7 6 6 7 7 7 7 6 6 5 5 6 5 1 -4 -5 0 5 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 nan
nan 7 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 9 10 11 11 10 9 8 8 8 7 8 9 9 8 7 8 9 9 8 7 6 6 5 4 4 4 6 7 8 8 8 8 8 8 8 9 9 8 7 6 6 5 5 6 8 8 8 7 6 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 2 -3 -7 -4 2 6 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 nan
nan 7 5 6 7 8 7 7 7 8 9 9 8 8 7 6 6 7 7 6 7 7 6 6 6 6 7 8 8 8 7 7 7 6 6 6 6 7 7 8 9 10 11 10 9 8 7 7 8 9 10 10 8 7 7 8 9 8 7 5 5 3 3 3 4 5 5 7 8 8 8 8 8 8 9 9 9 7 6 5 5 7 8 9 9 8 7 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 5 0 -6 -6 0 5 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 nan
nan 6 6 7 8 8 8 8 8 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 10 11 11 9 8 7 7 8 9 10 10 9 8 8 9 9 8 7 6 4 3 3 4 4 5 5 6 7 8 9 9 8 8 9 9 9 7 6 5 6 8 10 10 9 8 7 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 -1 -6 -3 3 8 8 7 7 7 6 6 5 5 5 5 5 6 6 7 7 7 nan
nan 6 7 7 8 8 8 9 9 10 9 7 7 7 7 7 7 7 6 6 6 6 6 5 6 7 7 7 7 7 8 8 7 6 6 6 5 5 6 7 8 9 10 10 10 9 7 7 7 8 8 8 9 9 10 10 10 9 8 7 5 4 4 5 5 5 5 6 7 7 7 8 9 9 9 9 8 7 6 6 7 9 10 9 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 5 0 -2 1 7 9 7 5 5 5 5 5 5 4 5 5 6 6 7 7 7 7 nan
nan 6 7 9 9 9 9 9 10 9 8 6 6 7 7 8 8 7 7 7 6 6 6 5 6 7 7 7 7 7 8 8 6 6 6 6 6 5 5 6 7 8 8 9 11 11 9 8 8 7 7 7 7 9 10 10 9 8 8 7 6 5 5 6 7 7 6 6 6 6 6 6 8 10 10 9 7 6 6 7 8 9 9 9 8 7 7 7 8 8 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 6 3 2 5 9 9 6 4 3 3 3 3 4 4 5 5 6 6 7 7 7 7 nan
nan 6 9 11 11 10 9 9 9 8 6 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 5 6 7 8 8 7 6 6 6 6 6 8 10 12 11 10 9 8 8 7 6 7 8 8 8 8 8 8 8 7 7 8 8 7 6 6 5 5 5 6 7 9 9 8 6 6 7 8 9 9 8 8 8 8 7 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 7 6 5 6 7 7 7 5 3 1 -0 1 2 4 5 5 6 6 7 7 7 7 nan
nan 8 10 11 11 10 9 8 8 6 5 5 6 7 7 8 8 8 7 7 8 8 9 8 8 7 7 6 6 6 7 6 5 6 8 9 9 8 7 6 5 5 5 7 9 11 12 12 11 10 9 8 7 7 7 8 9 9 10 10 10 9 8 8 8 7 6 6 6 6 6 6 7 7 7 7 6 6 7 9 9 9 8 8 9 8 8 9 10 11 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 8 7 6 6 7 7 8 7 3 -0 -3 -2 1 4 5 5 6 6 6 7 7 7 nan
nan 9 10 10 10 9 8 8 7 6 5 5 5 7 7 8 8 8 8 9 9 9 8 8 8 8 7 6 6 6 6 6 7 8 9 10 9 8 7 7 6 5 5 7 8 9 11 11 12 11 10 10 9 9 9 10 11 11 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 8 9 9 8 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 6 5 5 5 3 -1 -6 -4 1 3 5 6 6 6 6 6 6 7 nan
nan 8 9 9 8 8 8 8 7 6 5 4 5 7 8 8 9 9 9 9 9 8 7 7 8 7 7 7 7 7 7 8 8 8 9 10 9 9 8 7 6 6 6 7 7 8 9 9 10 11 11 12 12 12 13 13 13 13 12 11 10 9 8 8 7 7 7 7 8 8 8 8 8 7 6 5 5 7 8 8 8 8 7 8 9 9 9 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 10 10 10 10 9 9 9 10 10 9 9 9 8 7 3 0 -0 1 0 -3 -6 -3 1 4 5 6 6 6 6 6 6 7 nan
nan 8 9 9 8 8 8 8 7 6 5 5 6 7 8 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 10 12 12 13 14 14 14 14 13 11 10 9 9 9 8 8 7 7 8 8 8 8 8 8 7 5 5 7 8 8 8 7 6 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 9 10 10 10 9 8 8 8 5 1 -3 -3 -2 -0 -2 -2 1 3 4 5 5 6 6 6 6 6 7 nan
nan 9 10 9 8 8 8 8 6 6 6 7 8 8 8 9 10 10 10 8 8 7 7 7 8 8 9 10 10 10 11 10 9 9 8 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 9 9 10 10 12 13 14 14 14 13 12 11 11 11 10 9 8 7 7 7 8 8 9 8 7 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 10 10 11 11 11 11 10 10 10 10 9 8 8 8 7 4 2 -0 -0 1 1 1 2 4 4 5 5 5 5 6 6 6 7 7 nan
nan 9 10 9 8 9 9 8 7 6 7 7 7 7 8 9 10 10 9 7 7 7 8 8 8 8 9 11 11 11 10 9 9 9 8 7 7 8 8 8 8 8 7 7 7 7 6 5 5 6 7 7 7 7 8 9 11 12 13 14 13 12 11 11 11 11 10 8 7 7 7 8 9 9 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 10 10 10 11 11 12 11 11 9 8 8 8 8 8 7 5 5 4 4 4 2 2 2 4 5 5 5 5 5 6 6 6 7 7 nan
nan 9 9 8 8 8 9 8 7 6 6 6 6 6 8 9 10 9 8 7 7 8 9 9 8 8 9 10 10 9 9 9 9 9 8 7 8 8 9 10 9 8 7 8 8 8 7 6 6 7 7 7 7 7 7 7 8 9 11 11 11 10 10 11 12 12 11 10 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 8 8 8 8 8 9 9 9 9 9 11 12 12 11 9 8 8 9 9 9 9 8 8 7 7 4 -0 -1 1 4 5 5 5 5 5 6 6 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
45 51 52 45 52 73 145 333 541 713 757 617 472 497 595 676 843 1093 1124 939 654 481 424 461 563 689 780 739 493 148 53 39 53 52 38 24 17 17 19 22 36 36 31 28 31 32 29 27 28 31 31 31 35 31 26 25 17 11 7 4 3 3 4 4 0 0 0 0 0 0 0 0 0 1 3 4 6 7 9 9 8 6 6 8 12 15 17 19 27 37 60 80 90 98 102 97 84 74 63 52 50 64 74 63 44 33 39 49 50 44 50 64 68 84 81 97 122 147 168 179 172 157 172 211 246 273 267 234 210 239 314 404 471 518 563
59 61 65 63 90 165 321 550 711 703 518 301 254 400 554 610 798 1013 1218 1179 894 692 654 726 876 1054 1178 1145 846 390 165 126 139 109 62 47 56 55 50 78 129 117 113 98 93 88 69 44 32 36 47 44 65 28 13 6 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 3 5 5 8 12 12 11 11 13 12 13 15 17 19 19 19 25 34 54 75 87 91 87 76 65 60 39 25 29 51 63 57 44 36 40 51 57 48 32 23 24 31 47 77 122 178 236 263 235 191 205 232 258 279 274 228 170 146 161 207 266 331 399
79 67 68 91 150 272 452 581 586 466 279 187 309 515 580 512 626 892 1208 1285 1140 959 887 917 973 1021 1103 1184 969 749 542 411 356 302 229 185 190 202 218 266 267 239 207 172 154 137 99 56 31 20 41 26 15 7 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 3 6 8 10 12 14 12 9 14 17 15 22 28 40 56 73 82 74 55 37 32 24 20 27 48 53 41 32 36 46 56 64 64 63 36 32 41 48 67 107 166 221 246 250 243 250 271 298 320 309 255 202 169 156 172 189 206 234
96 78 84 147 256 341 419 408 334 294 296 366 539 585 432 269 337 647 1058 1298 1210 1028 925 825 708 635 687 990 902 855 746 559 433 362 292 252 243 204 213 237 200 171 134 112 99 82 56 32 16 6 12 8 3 2 2 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 7 5 1 0 7 10 17 22 28 37 51 63 61 50 36 29 26 24 28 39 44 39 35 42 52 60 66 78 93 86 84 84 71 67 91 139 194 218 244 280 306 336 375 400 382 324 277 246 213 212 210 199 190
132 105 120 234 335 271 238 219 271 439 641 796 852 660 361 207 250 461 754 1011 1037 916 752 525 370 390 401 684 662 560 493 382 282 224 170 121 120 105 103 76 62 52 43 33 23 16 13 10 6 4 4 3 2 2 2 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 6 12 19 26 34 47 51 47 35 32 33 37 42 50 58 59 59 70 77 88 94 114 146 177 188 156 116 92 105 156 213 250 250 239 252 307 395 485 533 503 428 375 318 284 266 250 232
144 113 166 308 332 205 167 230 418 677 914 1097 1113 852 555 413 411 532 727 957 1016 849 605 366 257 348 411 434 367 262 196 185 168 127 124 96 90 86 72 59 41 23 14 12 10 6 6 6 5 2 1 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 5 11 16 20 22 31 41 38 38 46 57 71 88 101 111 117 126 131 144 159 182 208 226 224 197 159 134 173 370 498 437 292 189 165 216 344 550 814 851 759 636 489 379 344 348 327
126 105 176 348 337 254 251 336 499 722 964 1172 1193 941 704 538 769 832 878 952 922 768 564 420 420 485 497 378 237 171 145 143 142 132 135 111 99 90 72 58 34 14 7 7 6 6 6 5 4 2 0 1 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 13 18 27 28 33 45 59 76 100 124 141 157 163 171 190 220 249 274 303 320 267 212 182 272 678 830 631 358 192 170 211 287 543 912 1105 1164 1010 719 493 484 556 543
140 137 189 361 365 291 261 319 482 740 1009 1142 1063 809 609 459 569 768 869 843 759 641 549 469 495 440 359 333 256 215 213 203 186 168 146 128 95 85 66 30 10 7 7 6 5 6 6 5 2 0 1 2 2 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 2 3 5 8 9 9 11 14 18 24 33 42 49 62 84 104 120 133 150 176 210 245 277 315 349 330 273 216 260 518 618 445 246 181 212 243 273 549 1095 1656 1756 1394 957 652 651 702 577
322 300 362 395 322 217 188 303 555 844 1025 999 845 667 499 392 392 445 535 626 618 513 522 447 445 358 269 311 297 260 242 212 169 135 111 145 98 61 32 13 7 6 6 4 3 6 5 3 1 0 1 2 2 2 2 2 1 1 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 1 2 4 7 8 8 9 12 15 18 22 24 28 38 47 56 68 82 98 122 152 180 213 248 274 286 284 247 238 293 321 280 233 161 210 200 228 466 969 1544 1697 1306 901 593 520 541 421
496 474 441 345 232 170 235 457 739 917 931 810 678 584 468 375 339 375 485 678 834 691 702 516 510 436 385 341 292 248 210 161 115 89 70 39 47 32 13 7 6 4 3 3 4 5 3 1 0 1 2 2 2 2 2 2 2 1 2 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 1 4 6 6 8 11 15 16 18 17 17 23 29 31 32 35 45 63 85 110 132 156 184 213 241 267 290 304 302 289 268 249 202 180 148 150 261 490 664 637 639 498 325 290 305 293
500 501 408 266 193 221 396 678 877 889 783 655 581 538 458 369 350 439 602 829 1053 901 833 649 580 491 388 317 270 221 169 128 89 54 31 13 8 6 6 6 4 3 2 2 3 2 1 0 0 0 0 1 2 2 1 1 1 1 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 1 4 6 7 9 12 16 20 22 22 25 29 28 27 29 34 45 62 81 102 121 139 159 179 205 241 289 331 337 323 297 261 226 196 163 150 188 261 289 274 313 337 327 320 332 348
473 413 315 237 260 385 605 834 900 801 647 545 506 500 434 328 308 452 692 877 930 824 687 597 562 496 403 320 255 195 129 79 49 24 10 6 6 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 1 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 1 3 7 10 11 12 17 19 26 32 38 44 47 43 41 46 59 75 91 107 122 139 153 165 175 189 207 236 289 324 330 329 328 312 288 264 260 294 373 509 577 495 482 478 473 462 445
448 358 309 306 400 580 775 890 851 703 555 495 498 512 485 483 574 709 782 783 739 651 584 541 522 464 376 282 202 141 82 36 14 8 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1 2 5 9 13 16 16 19 25 32 44 55 64 71 75 78 82 91 110 130 148 160 173 188 197 200 206 214 206 192 231 269 292 316 337 344 343 343 357 420 502 541 548 526 492 478 479 468 431
416 326 319 392 517 686 835 861 782 604 508 490 523 554 580 623 661 656 621 622 621 513 477 443 409 352 274 191 121 72 36 13 6 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 1 0 0 0 2 4 7 11 16 22 28 32 37 42 47 59 79 93 103 112 126 144 160 171 186 209 225 233 239 246 250 246 237 240 223 199 202 212 233 262 284 296 306 313 307 299 293 270 255 254 273 308 329 325 305
360 329 357 465 585 706 825 804 702 520 447 415 419 472 555 636 688 692 658 605 494 357 298 272 242 206 164 111 58 26 10 7 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 5 12 14 12 8 7 7 9 14 20 28 38 54 71 83 89 97 104 118 137 154 167 181 204 233 262 273 275 284 291 290 284 276 270 268 256 256 248 231 223 225 237 252 259 260 247 244 225 193 167 151 146 142 146 164 183 190 191
347 360 421 526 612 686 766 709 590 456 399 378 366 389 462 567 657 690 670 553 346 231 180 160 142 116 82 46 21 9 5 4 4 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 1 12 22 22 22 19 18 19 25 36 48 62 80 105 133 158 161 160 171 188 204 216 228 245 266 289 319 332 320 310 300 291 282 273 267 269 265 258 257 250 248 251 261 273 269 259 224 215 199 183 169 149 127 114 105 99 104 112 125
354 361 412 484 555 630 650 573 484 417 394 395 417 448 489 580 730 784 628 385 200 115 99 106 95 64 34 15 22 10 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 22 31 30 30 34 38 46 60 80 98 116 133 144 157 169 160 161 180 206 224 231 238 253 268 278 293 297 282 267 254 243 237 233 232 246 248 228 219 219 218 218 222 228 228 229 210 193 181 179 183 178 150 119 101 92 90 89 101
285 279 293 342 433 530 533 479 446 425 438 424 360 458 689 793 865 769 480 218 92 57 70 76 60 42 25 17 23 10 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 7 23 38 38 41 51 72 92 116 135 143 145 149 151 137 126 115 103 112 138 172 198 199 198 208 218 223 219 203 197 198 197 194 189 186 181 171 175 175 174 173 169 164 164 173 173 173 162 151 147 148 155 170 179 164 154 138 137 133 131
152 160 193 256 343 420 438 433 470 477 482 428 442 619 817 877 814 622 332 121 44 30 42 46 43 49 32 16 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 3 15 36 44 45 71 109 138 155 166 172 165 153 138 123 103 89 81 79 87 102 129 160 159 156 159 161 164 162 158 158 159 160 161 164 161 154 153 150 146 147 147 143 137 135 134 136 137 131 122 120 120 127 139 158 174 191 188 190 191 188
67 88 133 203 278 334 374 415 492 510 495 463 518 648 709 662 553 401 260 111 37 17 22 32 38 43 26 7 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 1 7 25 46 44 60 111 163 179 168 154 145 136 124 107 91 81 76 74 74 77 88 104 121 131 131 130 128 129 130 131 131 132 133 132 133 133 130 127 126 130 133 134 129 129 133 134 129 123 115 108 108 111 117 119 138 148 162 182 197 200 199
42 66 110 165 209 250 312 370 458 502 505 499 523 553 511 425 322 286 251 149 67 28 23 34 34 22 12 5 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 1 11 34 43 48 73 113 139 136 119 108 106 104 99 91 83 76 73 73 73 79 92 96 101 108 111 113 112 111 110 109 108 110 109 107 106 106 107 112 118 120 117 115 113 119 123 126 126 119 110 105 104 105 112 121 133 141 155 178 197 210 213
35 52 78 112 139 172 235 315 409 481 506 500 494 473 365 252 222 255 263 214 141 86 64 51 22 7 5 4 4 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 2 11 36 43 51 67 82 83 75 71 76 85 96 94 85 76 71 71 72 75 80 88 91 91 91 95 100 102 101 100 97 93 92 90 90 88 86 85 89 95 99 96 92 91 98 104 109 114 111 106 103 102 96 100 110 119 132 154 175 199 217 227
27 39 52 70 84 115 183 287 387 450 458 449 444 387 296 227 217 244 281 279 237 198 196 196 104 61 38 18 16 24 25 14 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 2 18 31 41 46 53 57 55 51 57 67 81 91 83 75 70 69 71 73 74 77 86 85 83 84 87 90 93 95 92 91 86 84 82 80 78 74 70 68 69 71 74 75 75 81 87 88 89 91 89 88 86 82 83 87 94 107 131 145 173 192 201
16 25 31 38 48 80 160 267 336 388 401 391 387 302 265 243 231 242 274 296 296 297 331 385 314 241 190 158 121 81 48 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 29 39 42 45 49 50 51 58 67 72 69 65 65 66 68 72 73 72 73 82 79 77 78 79 80 80 81 80 80 77 75 74 72 69 66 63 62 61 61 61 63 65 67 69 70 72 73 72 72 69 67 66 65 67 71 95 107 122 138 150
6 12 15 19 31 58 129 234 331 354 328 326 321 279 265 263 244 234 244 249 248 264 294 326 349 303 235 161 90 46 27 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 6 21 31 38 41 44 50 55 59 63 67 67 65 62 62 63 66 70 72 70 72 75 74 72 72 70 68 67 65 63 65 67 68 66 63 61 60 59 57 55 54 53 54 56 57 58 59 62 63 62 61 59 56 54 56 57 58 66 71 75 85 96
3 4 5 8 23 46 117 235 331 334 291 289 296 298 313 295 243 215 202 168 126 113 116 111 124 121 86 46 18 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 22 30 38 42 47 54 59 60 61 62 63 63 63 63 64 66 70 69 66 67 70 70 68 67 63 60 59 58 58 57 57 57 57 54 54 52 50 49 48 47 45 44 45 48 50 49 50 50 49 49 48 46 44 44 46 48 48 49 51 54 56
2 2 2 4 10 40 121 231 300 298 268 253 228 198 187 199 166 127 94 62 34 19 16 11 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 29 35 41 47 53 56 57 57 60 63 66 67 68 67 66 68 63 59 58 62 64 62 58 55 54 52 49 47 47 47 47 46 45 44 43 42 41 39 37 34 31 29 35 38 39 38 37 36 35 35 34 33 33 34 34 34 35 38 39 39
2 2 2 3 4 40 121 206 239 213 171 138 101 79 48 54 49 36 22 12 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 4 12 20 29 36 40 45 48 50 52 57 63 68 69 69 67 65 62 56 52 52 54 58 53 48 47 46 44 42 40 39 38 37 36 35 32 31 31 30 27 25 22 21 20 22 24 25 23 21 22 22 21 21 22 22 22 21 21 22 25 26 25
2 2 3 3 15 60 125 157 131 81 55 35 23 21 12 5 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 1 5 11 19 28 33 36 39 43 45 48 54 59 60 60 60 57 54 49 45 45 43 42 41 40 39 38 36 34 32 30 27 25 24 23 21 20 20 19 17 17 16 15 13 11 12 12 8 6 8 8 7 7 4 5 8 9 9 9 11 12 14
2 3 3 6 30 75 111 98 52 23 9 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 0 0 0 0 0 0 0 0 1 9 17 22 27 30 33 33 34 39 45 46 46 47 45 40 35 34 36 37 34 31 30 29 28 27 24 21 17 18 14 13 13 12 13 14 13 11 11 9 7 4 3 2 0 0 0 1 0 1 1 0 0 0 1 1 1 2 2 3
2 3 3 8 32 64 73 48 15 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 10 15 19 22 24 25 26 30 32 32 33 32 29 28 27 26 23 19 19 18 17 17 15 14 13 11 8 5 4 4 4 4 5 2 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 3 4 21 32 30 17 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 1 1 3 5 7 11 14 18 21 22 24 25 25 24 23 21 19 15 13 11 10 9 8 6 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 6 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 1 1 3 4 6 11 14 16 17 17 16 14 12 8 6 4 4 4 3 2 1 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
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 1 3 5 6 6 5 5 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 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 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 1 1 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 1 3 1 1 1 1 1 1 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 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 2 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 3