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 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 8 11 12 10 6 5 5 5 6 6 5 5 5 5 6 5 5 4 5 5 3 -1 -2 0 3 5 5 6 7 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 8 8 8 8 7 7 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 6 6 6 6 nan
nan 4 4 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 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 7 7 6 6 6 6 6 7 7 7 8 10 9 6 4 5 5 6 5 5 5 5 5 6 6 6 5 5 6 6 3 0 -0 1 3 5 6 6 7 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 5 5 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 7 8 8 9 10 10 8 5 4 5 5 5 4 4 4 5 5 6 6 5 5 6 7 6 2 -0 -1 2 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 2 2 2 2 2 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 9 9 9 9 10 10 10 10 11 11 12 11 9 7 6 5 5 5 4 4 5 5 5 6 6 6 6 7 7 4 0 -2 -0 4 6 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 3 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 10 11 11 12 13 14 15 15 14 13 12 11 9 8 7 6 5 5 5 5 5 5 6 7 7 7 8 8 6 1 -3 -2 3 7 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 nan
nan 3 3 3 3 3 2 2 2 2 2 3 3 3 3 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 10 11 12 13 14 16 17 18 17 15 12 10 9 9 9 8 7 6 6 6 5 5 7 9 10 9 7 7 5 2 -2 -3 1 7 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 nan
nan 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 10 10 11 12 13 13 13 12 12 12 13 14 15 16 17 16 14 11 9 8 9 10 9 8 7 7 7 7 8 9 11 10 8 6 5 3 -1 -3 -0 5 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 nan
nan 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 7 7 7 8 8 8 9 9 10 10 11 11 12 12 13 14 15 15 15 14 13 12 11 10 11 12 13 14 14 13 11 9 9 10 11 10 9 8 9 9 9 9 9 9 8 7 6 4 2 -1 0 4 7 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 5 5 6 6 7 8 8 9 9 10 10 11 12 12 12 13 13 13 13 14 15 15 14 13 12 10 10 9 9 9 10 11 12 12 12 11 12 12 11 9 8 8 9 9 8 8 7 7 7 7 6 5 4 3 4 6 7 7 6 6 6 5 5 6 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 nan
nan 8 6 5 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 7 8 9 9 10 11 12 12 13 13 14 14 14 14 13 12 12 13 13 12 11 11 10 10 10 10 10 11 11 12 12 13 14 14 12 9 7 7 8 8 8 7 6 6 6 7 7 6 6 5 4 5 5 5 4 3 4 4 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 nan
nan 8 7 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 7 8 9 10 11 11 12 13 14 14 15 15 15 15 15 14 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 16 18 17 14 10 7 7 7 7 7 6 6 6 7 8 8 6 4 2 1 2 3 3 3 2 3 4 6 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 6 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 7 8 9 9 10 11 11 12 13 14 15 15 15 15 15 15 15 15 14 14 13 13 13 14 15 15 15 15 15 15 14 14 15 16 18 20 19 16 11 8 8 7 7 7 6 6 7 7 8 8 6 3 1 -1 0 2 3 4 4 5 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 7 7 8 9 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 14 14 14 14 14 14 14 14 13 14 15 18 19 19 16 12 9 8 8 7 7 6 7 7 7 8 8 6 4 1 1 2 3 5 6 7 8 9 10 11 11 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 14 15 15 15 15 15 15 14 13 13 12 11 11 11 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 nan
nan 4 4 3 4 4 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 13 14 14 13 13 11 11 10 10 10 10 11 11 12 12 12 11 13 15 17 16 12 10 9 9 8 7 7 7 7 7 8 8 8 6 3 1 1 3 5 6 7 9 10 11 12 12 13 13 14 15 15 16 17 18 18 19 19 19 18 17 16 17 17 18 18 18 17 17 17 16 15 15 15 15 14 13 13 12 11 11 10 9 8 7 7 7 7 7 7 7 7 6 nan
nan 5 3 1 2 3 5 5 5 4 4 4 4 5 6 7 8 8 8 8 8 8 9 10 10 10 10 9 9 8 9 9 11 12 12 11 11 10 9 9 10 11 11 11 10 9 7 6 6 6 6 7 8 9 10 11 10 9 9 12 14 12 9 8 9 9 9 8 7 7 7 8 8 8 7 4 0 -1 1 4 7 8 9 10 11 12 12 12 12 12 13 14 15 16 19 21 22 23 23 23 21 19 19 20 19 19 18 17 17 17 16 16 16 16 17 17 17 17 16 15 14 13 12 10 9 8 7 7 8 7 7 7 7 7 nan
nan 6 4 1 1 2 4 5 5 4 4 4 4 6 7 8 9 9 9 9 9 10 11 11 10 10 9 8 8 8 9 10 11 11 10 9 8 7 7 7 7 8 8 8 7 6 5 4 4 4 5 6 7 8 9 10 10 8 8 9 10 9 8 8 9 9 9 8 8 8 8 8 7 7 6 2 -1 -1 3 6 8 9 9 10 11 11 11 11 10 10 10 10 11 12 14 17 19 21 21 21 19 17 17 17 18 17 16 15 15 15 15 15 15 16 17 18 19 19 19 19 18 17 15 13 12 11 11 10 10 9 8 7 8 8 nan
nan 7 5 3 2 3 5 6 6 6 5 5 6 7 8 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 9 7 6 5 4 4 5 6 6 6 5 4 4 4 4 4 5 6 7 7 9 11 11 9 8 8 8 8 7 8 9 9 9 8 8 8 7 7 7 6 4 0 -1 1 4 7 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 9 11 13 14 14 13 13 12 12 12 12 12 12 13 13 14 14 14 14 15 17 18 18 19 20 20 19 18 17 16 17 17 16 13 12 10 9 9 9 nan
nan 6 5 4 4 5 6 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 10 10 9 8 7 6 5 4 3 3 4 5 5 4 4 4 4 5 5 6 6 7 8 8 10 12 11 9 8 8 7 7 7 9 10 10 9 8 8 7 7 7 7 5 1 -1 -0 3 6 7 8 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 6 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 13 14 16 17 18 19 19 20 20 21 21 22 22 20 17 14 13 12 11 11 nan
nan 4 4 4 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 8 9 10 11 12 11 10 9 8 7 6 5 5 4 3 2 2 3 3 3 3 3 4 5 6 6 7 8 8 9 10 11 10 8 7 6 6 7 8 10 11 11 10 9 8 7 7 7 6 2 -1 -2 1 4 6 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 12 13 14 15 16 17 18 19 21 22 23 22 21 20 18 16 15 14 13 13 nan
nan 5 4 5 5 5 5 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 8 8 10 11 12 13 12 10 8 7 6 6 6 6 6 5 4 1 -0 0 1 1 2 3 4 5 6 6 7 8 9 10 10 10 8 7 6 6 6 7 9 10 9 9 9 9 8 8 8 7 4 -0 -4 -3 1 5 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 13 14 15 16 16 17 19 20 20 19 18 17 17 17 16 15 15 14 nan
nan 7 6 6 5 5 4 3 3 4 5 6 6 6 7 7 8 8 8 8 8 8 9 10 12 13 13 13 11 8 6 5 5 6 7 7 8 8 6 2 -1 -2 -2 -1 0 1 3 4 5 5 6 8 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 3 -3 -5 -2 2 5 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 9 9 10 12 13 14 14 15 15 16 16 16 16 16 17 17 17 17 16 16 nan
nan 8 8 7 6 5 4 4 5 6 7 7 7 7 8 9 9 8 8 8 9 10 12 13 14 14 13 11 8 6 5 4 5 6 7 7 8 9 8 4 0 -2 -2 -2 -2 -1 0 2 4 5 7 10 12 11 9 7 7 8 9 8 7 7 7 7 7 6 6 6 7 8 9 7 2 -4 -4 -0 3 6 8 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 9 9 10 11 11 12 12 12 12 13 14 15 16 17 18 18 18 19 nan
nan 7 6 6 6 6 6 6 7 7 8 8 8 9 9 10 9 9 9 10 11 13 15 15 15 13 11 8 6 4 3 4 4 6 7 8 8 9 8 6 3 2 1 0 -1 -2 -1 1 4 6 8 10 12 10 8 7 7 8 8 8 8 8 7 7 6 5 4 5 6 7 8 5 -1 -5 -2 3 6 8 10 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 10 11 12 14 16 17 18 19 20 nan
nan 5 4 5 6 6 6 6 7 7 8 9 9 10 10 10 10 10 11 12 14 16 16 15 13 10 7 5 4 3 2 3 4 5 7 7 8 8 8 7 5 4 4 4 1 -0 -0 2 6 8 9 10 10 9 8 7 7 7 8 8 8 8 7 6 5 5 4 5 6 7 7 3 -3 -4 1 6 10 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 7 8 8 9 10 12 13 15 16 18 nan
nan 5 4 5 6 7 7 7 7 7 8 9 10 11 11 11 10 10 11 13 14 15 15 12 8 5 4 3 3 2 2 2 3 5 7 7 7 7 7 6 6 6 6 6 5 3 3 5 7 8 9 9 8 7 7 7 8 8 8 8 8 7 6 5 5 5 6 6 6 7 6 2 -3 -1 5 10 13 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 7 7 6 6 7 7 8 9 10 11 13 nan
nan 6 5 6 7 7 7 7 8 8 8 9 10 10 11 10 9 9 8 9 10 10 9 4 1 -1 -1 0 2 2 2 1 2 5 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 7 7 8 9 10 9 9 8 7 6 6 6 7 7 7 6 7 6 1 -2 2 8 12 14 15 15 15 15 14 14 14 13 13 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 nan
nan 7 6 7 7 8 8 8 8 8 7 7 7 7 9 9 8 7 6 4 3 3 2 -1 -4 -5 -4 -2 1 3 4 3 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 8 9 11 11 10 9 7 7 7 7 8 8 8 7 7 7 6 1 -1 3 9 13 15 16 15 15 14 14 14 13 12 12 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 6 nan
nan 7 7 7 7 8 8 8 8 7 6 6 5 5 7 8 8 8 7 3 -0 -1 -1 -1 -2 -2 -2 -1 1 4 6 6 6 7 7 7 7 8 8 8 9 8 8 8 8 8 8 7 8 8 8 7 7 8 9 10 11 12 11 9 7 8 8 8 8 8 8 8 7 7 4 -0 -0 4 10 13 15 15 14 14 13 13 12 12 11 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 8 nan
nan 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 9 9 8 6 2 -0 1 3 3 3 2 2 3 5 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 8 9 9 8 6 6 7 9 10 10 11 10 9 9 9 8 8 8 8 9 9 8 7 2 -1 -1 4 10 13 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 nan
nan 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 7 7 5 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 10 9 9 8 8 8 7 7 7 9 9 7 6 6 7 7 8 9 10 9 9 9 9 8 7 7 8 9 9 8 6 1 -3 -1 4 9 11 12 11 11 10 10 10 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 nan
nan 8 8 9 10 11 11 11 11 11 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 7 9 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 9 10 9 7 7 9 10 10 8 5 -1 -4 -2 3 8 10 10 10 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 nan
nan 8 9 10 11 11 11 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 8 7 7 7 8 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 7 7 8 7 7 8 10 10 8 7 9 9 9 8 4 -2 -6 -5 1 6 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 nan
nan 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 7 7 6 7 7 7 8 8 8 7 7 8 8 8 8 8 9 8 8 7 7 6 7 7 8 9 9 9 8 8 7 6 6 7 8 9 8 8 9 9 9 8 5 -1 -6 -7 -3 3 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 9 9 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 6 6 6 7 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 9 9 9 9 8 6 6 6 6 6 7 9 9 8 8 8 6 2 -5 -8 -6 0 4 6 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 nan
nan 8 8 9 9 9 9 9 8 8 7 8 8 8 8 8 8 7 6 5 4 4 5 6 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 5 5 7 7 7 7 7 7 7 7 8 9 10 9 8 7 7 7 6 6 7 9 9 8 8 7 7 4 -2 -8 -7 -3 2 6 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 nan
nan 8 9 10 10 10 9 9 8 7 7 7 8 8 8 8 7 6 5 4 4 5 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 5 4 5 6 6 6 6 6 6 7 9 9 8 7 7 8 8 6 6 8 9 9 9 8 7 8 6 0 -6 -8 -5 1 5 7 7 7 6 6 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 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 10 10 11 10 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 8 7 5 4 5 5 6 5 5 6 7 8 8 7 7 7 8 8 7 7 8 9 10 9 8 7 8 7 3 -3 -7 -6 -1 4 7 7 6 6 5 5 6 6 7 7 7 8 8 8 8 8 8 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 6 6 6 6 6 6 6 5 5 5 5 nan
nan 10 11 11 10 9 9 8 8 8 7 7 7 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 9 8 7 7 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 8 9 9 9 9 8 8 8 8 5 -0 -5 -7 -3 2 5 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 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 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 9 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 8 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 7 8 8 8 6 2 -3 -7 -6 -1 4 5 6 5 5 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 6 6 7 6 6 6 7 7 7 8 8 8 8 8 8 8 6 5 5 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 4 -1 -6 -7 -4 1 4 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 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 nan
nan 7 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 5 4 5 6 6 6 7 7 7 7 8 8 6 4 5 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 7 6 2 -3 -8 -6 -2 2 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 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 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 6 6 6 6 7 7 7 6 6 5 5 6 7 7 7 6 6 6 6 6 6 5 6 7 7 7 7 7 7 7 5 5 6 6 6 6 6 6 6 7 8 7 5 4 5 6 7 7 7 6 6 6 7 7 8 8 8 9 9 7 5 5 6 7 7 7 6 6 6 7 7 7 5 -0 -5 -6 -4 -1 1 3 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 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 nan
nan 7 7 7 7 8 8 8 7 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 5 4 4 6 7 6 6 6 6 7 7 8 8 8 8 9 8 7 5 5 6 7 7 7 7 6 5 5 6 7 6 3 -1 -4 -5 -5 -2 1 2 3 3 4 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 nan
nan 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 5 4 5 5 5 5 6 7 7 7 7 8 7 8 8 8 7 5 6 7 7 8 8 8 7 6 6 7 7 7 6 4 0 -3 -5 -4 -2 -0 1 2 2 3 4 5 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 nan
nan 8 8 9 8 7 5 6 7 8 9 9 8 8 8 9 10 11 11 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 6 5 4 4 4 5 6 7 7 8 7 7 7 8 8 9 9 7 6 6 7 7 7 8 8 7 7 7 7 7 8 8 6 4 1 -2 -4 -4 -2 -1 -0 0 1 3 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 6 6 6 7 8 9 9 10 10 10 10 11 12 12 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 9 10 10 8 7 6 5 5 5 6 6 7 7 8 8 7 7 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 5 3 0 -1 -2 -2 -2 -2 -1 0 3 5 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 8 7 6 6 6 6 6 7 8 9 10 10 10 9 9 10 10 10 9 8 8 8 9 9 10 11 11 10 9 9 10 10 10 9 8 9 10 11 11 9 7 6 6 7 8 9 8 8 7 8 9 8 7 7 8 8 8 8 8 7 6 5 6 6 7 7 7 6 6 7 7 7 8 7 6 6 5 4 3 2 0 -1 -4 -5 -3 0 3 5 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 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 7 7 7 7 nan
nan 7 7 7 6 6 6 6 6 6 7 9 9 9 9 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 8 8 9 9 9 8 7 8 9 10 10 9 8 8 8 8 9 10 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 7 8 8 7 6 6 7 6 5 4 1 -3 -6 -5 -3 1 3 5 6 7 6 6 6 6 6 6 6 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 7 7 nan
nan 7 7 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 8 7 7 7 8 9 9 8 7 7 7 7 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 8 9 9 9 8 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 6 7 8 9 8 7 7 8 7 7 6 4 0 -3 -4 -4 -2 0 2 4 5 6 5 6 6 6 6 6 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 7 7 7 7 7 7 nan
nan 7 7 6 7 6 6 6 6 7 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 7 7 7 9 9 8 8 8 8 8 7 6 5 4 2 -0 -2 -4 -3 -1 2 4 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 6 7 6 6 6 7 9 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 8 9 9 8 8 8 8 8 7 6 6 6 6 4 1 -2 -4 -3 -1 0 2 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 6 6 6 6 7 8 10 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 9 7 6 8 9 9 8 8 7 7 8 7 6 6 7 7 6 5 3 -0 -3 -4 -4 -1 2 4 5 6 6 6 6 7 7 7 6 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 nan
nan 7 6 6 6 6 6 7 9 10 10 8 8 7 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 8 9 10 10 10 10 10 8 7 6 8 9 9 9 8 7 8 8 8 7 7 7 7 7 7 6 4 -0 -5 -7 -5 0 4 5 5 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 6 6 6 6 6 7 8 9 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 9 10 9 9 8 7 7 8 9 9 8 8 8 9 9 8 8 7 6 6 7 7 8 7 3 -4 -8 -7 -2 2 4 5 6 6 7 7 7 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 8 8 8 8 8 8 nan
nan 6 6 6 6 6 6 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 9 9 8 8 7 6 6 7 7 8 8 5 -1 -6 -7 -3 2 4 5 6 6 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 6 6 6 6 6 6 8 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 7 8 9 9 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 7 7 6 6 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 2 -3 -5 -2 2 3 5 6 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 6 6 7 6 7 8 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 4 1 -0 1 2 4 5 7 9 8 7 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 8 8 7 7 6 7 8 9 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 8 8 7 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 5 4 4 4 4 5 7 10 12 10 7 4 3 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 9 10 10 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 8 8 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 6 6 7 9 12 13 10 6 2 -0 1 4 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 7 8 9 10 10 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 9 9 8 7 7 6 7 7 7 7 7 8 8 8 7 6 6 7 7 7 7 8 9 11 11 8 4 -0 -2 1 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 9 9 8 8 8 7 6 6 7 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 6 6 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 7 4 0 0 2 4 4 4 5 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 9 9 9 8 7 7 8 9 9 8 8 8 7 8 9 10 11 10 9 8 7 7 7 7 8 9 10 10 10 9 9 9 8 8 9 10 10 9 8 7 7 7 7 7 8 7 7 8 8 8 7 7 6 5 5 6 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 7 5 4 5 5 5 4 4 5 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 6 6 8 10 11 11 10 9 8 8 8 7 8 9 10 10 10 10 9 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 9 9 9 7 6 5 4 5 7 8 9 9 9 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 5 6 8 9 10 10 9 8 9 8 8 9 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 8 7 7 9 10 10 9 8 6 5 4 5 7 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 6 6 7 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 9 9 10 10 9 8 8 7 5 5 6 7 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 8 6 4 4 6 8 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 8 9 11 12 12 10 9 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 10 9 8 7 5 5 5 5 6 6 6 6 7 8 9 11 10 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 9 8 9 8 6 4 5 8 9 9 9 8 8 8 7 6 6 6 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 8 8 8 8 8 9 10 13 16 17 16 14 10 6 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 11 12 11 11 10 8 7 6 5 5 5 5 5 5 6 7 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 7 7 7 7 6 5 7 9 9 9 8 8 8 7 7 7 6 7 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 8 9 10 12 15 17 18 16 11 5 1 3 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 nan
nan 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 9 10 10 11 12 12 11 10 9 8 7 6 6 6 6 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 7 6 5 5 5 6 8 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 11 12 13 12 7 0 -6 -4 2 5 7 8 8 8 8 7 8 8 8 8 7 7 7 6 nan
nan 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 10 11 12 12 11 10 9 8 8 7 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 8 8 7 7 8 9 10 11 11 10 9 7 5 4 3 4 6 8 9 10 10 10 9 9 8 7 6 7 8 9 9 9 8 7 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 6 -1 -9 -11 -5 2 6 8 8 8 8 8 8 8 8 8 8 7 7 6 6 nan
nan 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 9 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 8 8 9 9 10 10 9 6 4 2 2 3 6 9 10 10 9 9 8 8 8 8 7 6 7 9 10 10 9 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 7 3 -4 -10 -8 -1 6 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 nan
nan 9 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 8 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 9 9 9 7 4 1 0 1 5 10 13 13 11 9 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 5 0 -5 -6 0 8 13 13 12 10 9 9 9 9 9 9 8 8 7 7 6 6 nan
nan 9 9 9 9 9 8 8 8 9 10 10 9 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 10 11 11 10 9 8 8 8 8 7 5 3 1 2 5 10 14 16 15 12 9 7 6 6 7 7 8 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 5 2 1 5 13 19 20 17 14 12 10 10 9 9 9 9 8 7 7 6 6 6 nan
nan 9 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 6 6 6 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 8 7 6 7 8 8 7 6 7 9 10 11 11 10 9 8 8 8 7 6 4 4 6 10 13 16 16 14 11 9 8 8 8 8 8 9 9 8 7 7 7 9 10 9 7 6 6 7 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 10 16 21 23 21 17 15 13 11 9 8 8 8 8 7 7 7 6 6 6 nan
nan 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 10 10 9 7 6 7 9 9 7 6 6 7 9 9 10 10 9 8 8 8 7 6 6 6 8 11 13 14 12 10 9 9 10 10 10 10 9 8 8 7 7 6 7 8 8 7 6 5 6 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 7 8 10 13 16 17 16 15 14 14 12 9 6 5 7 8 7 7 7 6 6 6 6 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 7 9 10 11 10 8 7 8 10 10 9 7 6 5 6 7 8 9 8 8 7 7 7 6 6 7 9 10 11 10 9 8 9 10 11 11 11 10 8 8 7 7 7 7 7 7 6 6 5 6 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 8 7 7 8 9 10 11 10 9 9 9 9 7 4 1 3 6 7 7 7 7 7 6 6 6 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 7 7 8 9 8 7 7 8 9 10 10 9 9 9 10 11 11 9 7 4 3 5 7 8 8 7 6 6 6 6 6 7 9 9 9 8 8 9 10 12 11 11 10 9 8 7 7 7 8 8 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 8 7 5 3 1 0 -1 -4 -4 1 5 6 7 7 7 7 7 6 6 nan
nan 8 8 8 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 9 8 7 6 6 6 7 8 9 9 9 9 9 10 11 10 8 5 3 5 6 8 8 8 7 7 7 6 6 7 8 9 9 8 8 9 10 11 11 10 10 9 8 7 7 8 8 8 7 6 5 5 6 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 7 3 -1 -5 -8 -9 -10 -11 -5 1 5 7 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 8 9 9 10 10 10 10 9 8 8 7 5 4 4 6 7 8 8 8 9 9 9 10 10 9 7 6 6 6 7 7 7 7 8 7 6 5 5 6 7 7 8 7 8 9 9 9 9 9 9 8 8 8 9 9 7 6 5 5 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 8 5 2 -1 -5 -7 -8 -9 -6 0 5 7 8 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 9 10 10 10 10 9 9 8 7 5 3 4 5 7 7 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 9 9 7 5 4 4 5 6 7 7 8 8 7 7 7 8 8 8 9 9 9 8 6 4 4 6 7 8 8 9 9 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 5 3 1 3 6 7 8 8 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 8 8 8 9 10 11 10 10 10 9 8 7 4 3 4 5 6 7 7 7 7 7 8 8 8 9 10 10 10 9 9 9 9 9 10 10 9 8 6 5 5 6 7 8 8 7 5 5 6 7 7 8 8 8 8 6 4 4 6 7 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 8 9 11 13 14 13 10 7 5 5 6 8 8 8 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 9 9 9 9 8 9 10 10 10 9 9 9 9 7 5 4 5 6 6 7 7 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 7 6 5 5 5 6 7 7 7 6 5 4 4 5 7 8 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 9 9 9 10 12 13 11 7 3 1 3 5 7 7 7 7 7 7 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
90 61 44 31 18 14 12 14 14 11 8 8 10 14 16 16 21 26 24 23 26 27 31 40 49 56 59 57 54 55 63 66 63 68 74 76 80 86 98 117 143 174 172 163 148 142 130 110 92 82 74 57 48 37 22 19 19 25 26 29 43 64 73 65 47 21 21 20 16 11 6 3 3 3 2 3 1 2 1 1 1 0 1 3 40 106 121 91 62 50 25 20 28 37 42 44 45 48 52 50 50 50 49 48 51 61 74 90 108 124 134 132 125 122 100 91 89 89 96 104 108 109 106 103 90 74 63 54 56 68 76 74 64 57 54
91 64 50 41 31 21 17 20 20 15 10 8 9 12 14 14 19 29 32 33 37 37 44 57 66 68 69 66 62 66 80 82 80 86 91 89 87 88 96 117 133 159 138 136 136 137 141 144 145 147 149 145 120 101 74 51 38 33 29 27 32 40 46 44 56 28 18 15 12 12 8 3 4 3 3 2 2 2 2 1 1 1 2 5 28 88 149 150 127 113 74 47 36 37 42 46 48 58 61 54 52 53 51 49 50 60 72 78 87 99 107 108 94 93 88 90 101 121 150 169 178 179 159 140 116 91 76 64 59 66 79 87 79 72 61
91 70 60 59 59 45 40 40 36 25 13 8 8 10 14 13 19 35 40 44 49 56 66 76 79 71 71 65 65 76 89 97 97 93 86 79 79 85 95 115 117 125 110 103 107 118 140 170 192 201 225 233 204 192 157 117 82 60 46 31 26 25 32 26 16 12 10 7 6 8 7 4 4 5 4 2 3 3 2 1 2 2 3 5 22 85 189 207 200 191 159 118 81 55 45 43 50 77 83 73 61 62 64 63 62 66 73 68 66 82 94 96 88 82 81 87 101 129 190 236 241 232 203 174 136 101 82 74 68 66 75 95 95 93 86
94 75 70 76 81 80 76 70 58 39 19 9 12 15 20 22 27 36 45 58 66 77 88 95 95 79 77 69 73 85 100 109 106 96 83 75 84 88 85 93 97 94 88 84 87 98 123 160 193 220 275 305 295 270 227 180 130 92 75 64 43 25 22 14 6 5 4 7 7 5 5 5 5 5 4 5 4 4 2 1 1 2 2 7 28 78 172 221 226 229 223 199 155 108 73 58 58 92 105 91 76 81 91 94 93 87 81 69 69 85 99 106 99 83 74 74 83 101 158 193 221 244 229 201 164 122 96 82 73 64 68 87 96 100 100
103 87 86 94 101 101 95 89 76 51 25 13 17 22 26 30 34 38 49 74 98 108 107 105 112 114 115 112 110 116 126 128 118 107 107 111 105 95 80 78 83 83 83 83 87 96 111 139 172 214 289 353 360 344 292 236 181 125 93 84 54 30 23 13 5 4 4 6 7 6 5 5 6 7 4 3 3 2 0 0 0 1 2 13 47 102 182 249 272 267 278 290 266 225 166 116 96 107 101 82 80 96 109 113 111 106 93 78 76 83 89 89 82 74 66 60 64 78 106 124 151 195 207 201 186 145 110 90 73 56 59 67 80 91 97
118 109 108 110 113 112 111 108 92 66 41 32 38 43 48 57 72 70 74 98 122 131 131 127 141 175 198 201 191 169 157 146 132 125 123 123 117 106 98 96 107 120 130 135 139 149 160 177 201 248 300 374 392 395 360 301 243 176 121 95 65 48 31 22 13 9 8 7 7 6 4 4 4 3 1 1 1 1 0 0 0 2 6 24 80 160 237 300 316 313 338 366 366 335 274 214 177 142 96 67 67 82 97 103 100 105 93 79 69 68 69 69 67 63 60 57 62 76 88 92 98 121 148 166 167 132 97 80 63 51 47 51 61 69 72
123 110 112 118 127 130 127 120 107 90 76 74 76 71 81 105 137 122 121 143 159 167 172 177 189 219 244 257 251 217 191 180 176 179 180 177 178 165 165 166 196 235 267 283 284 299 327 349 353 372 372 417 437 451 441 400 354 286 203 141 89 65 48 36 28 22 16 12 8 6 4 2 2 1 0 1 1 0 0 0 2 5 11 33 92 184 287 360 395 408 432 440 449 464 402 316 296 237 149 93 71 70 88 93 90 99 103 96 84 75 72 71 69 75 80 79 81 92 98 98 95 91 93 101 115 96 78 64 52 45 42 41 45 48 49
154 137 139 147 159 163 153 133 112 97 91 94 95 92 110 145 166 170 174 182 193 205 220 231 231 237 237 242 246 236 234 246 262 277 292 307 306 290 283 297 351 419 482 529 555 574 618 651 627 611 565 550 556 549 522 497 468 404 299 221 144 97 74 58 43 33 27 22 14 8 5 4 2 2 2 4 5 0 0 1 5 8 14 44 108 276 402 436 486 534 560 568 552 575 512 471 463 403 296 223 170 155 165 177 191 204 212 205 185 163 156 169 170 157 163 162 154 152 151 141 119 105 96 78 81 76 67 55 48 45 42 39 38 37 36
186 181 187 200 215 211 181 139 102 83 83 76 87 108 138 164 182 196 208 221 236 245 260 277 273 263 244 238 246 259 280 303 318 344 363 396 414 444 462 491 540 602 670 745 840 901 914 923 883 802 699 614 555 510 476 464 454 436 353 289 221 159 117 95 79 65 55 37 20 9 6 6 6 7 5 2 5 1 1 3 7 12 19 56 129 287 469 550 584 637 701 738 742 758 741 715 686 627 543 484 419 404 410 420 441 461 459 437 401 366 340 336 334 319 316 310 295 282 276 260 227 194 173 140 116 98 86 71 60 57 53 48 42 37 32
218 227 244 272 281 253 195 134 95 83 89 81 109 136 159 181 210 241 265 280 291 297 307 310 302 284 274 282 294 311 341 367 366 399 432 479 498 540 589 635 676 704 720 767 900 1005 1003 968 894 785 652 519 398 308 289 302 316 348 336 313 288 239 181 143 125 114 96 41 14 6 3 5 5 3 1 0 0 1 2 4 8 11 18 47 122 277 497 650 682 731 821 878 916 945 938 896 864 847 851 812 756 739 740 741 734 723 710 688 651 614 571 528 488 478 485 481 467 455 435 402 357 325 295 254 208 170 147 130 111 98 86 75 66 50 38
376 380 357 357 332 268 189 126 94 90 104 107 128 157 178 202 233 269 298 309 318 328 321 304 293 290 302 320 340 359 377 397 409 428 442 468 495 524 560 618 673 680 645 644 714 796 806 775 717 626 510 403 322 247 194 189 205 251 279 292 307 287 241 218 189 175 108 26 5 2 1 1 1 0 0 0 0 0 1 4 6 9 19 58 147 311 561 693 757 821 905 965 1000 1011 997 976 972 982 1044 1025 1012 1029 1036 985 907 884 878 875 853 811 760 705 664 649 640 628 615 599 590 553 513 467 426 388 341 291 256 232 204 177 152 139 124 99 72
486 499 459 401 322 236 164 117 96 96 118 141 160 180 197 218 244 267 281 296 307 302 288 285 293 307 327 350 371 388 396 406 410 420 444 476 492 508 528 561 600 603 560 513 507 530 519 513 481 415 353 317 278 254 212 163 161 189 214 234 262 279 261 246 231 165 72 22 6 2 0 0 0 1 1 0 0 1 1 2 7 17 41 111 254 404 592 702 800 884 966 1033 1065 1057 1037 1034 1033 1024 1037 1044 1034 999 946 923 964 1009 1052 1060 1028 983 932 882 838 802 777 772 765 752 743 711 674 626 575 533 495 452 414 376 357 312 273 251 228 193 148
441 445 412 339 251 178 132 110 105 111 124 146 160 180 196 212 230 249 270 281 291 290 289 302 320 343 368 383 390 397 399 390 388 414 459 503 534 538 531 549 588 590 523 454 440 459 423 379 337 293 256 224 200 184 152 121 111 106 118 140 168 199 209 211 216 160 104 42 11 2 1 0 0 1 1 1 0 1 3 9 19 44 102 215 390 536 650 751 837 908 989 1083 1164 1196 1192 1160 1115 1055 1000 959 945 960 1002 1050 1076 1146 1231 1244 1264 1264 1228 1187 1148 1080 1019 999 1002 993 952 909 896 846 752 689 664 652 605 540 503 477 441 401 364 330 277
361 353 320 270 211 156 121 117 124 126 132 150 159 165 176 191 208 228 250 275 295 307 317 336 350 368 385 394 401 409 409 395 409 454 526 577 583 537 477 458 473 468 431 423 411 412 361 280 207 156 127 107 86 78 79 82 83 77 69 71 92 115 114 107 110 93 61 31 12 3 0 0 0 1 0 0 0 3 10 25 50 93 184 342 496 611 710 799 857 905 991 1127 1268 1362 1411 1398 1305 1202 1098 1039 1043 1082 1113 1125 1109 1215 1360 1496 1602 1664 1693 1681 1584 1450 1369 1336 1309 1265 1216 1186 1149 1071 982 908 803 742 737 728 713 682 639 583 525 485 435
352 362 342 303 257 199 138 124 117 117 118 120 116 122 139 162 187 216 249 284 312 326 344 366 378 389 408 431 447 458 479 498 507 551 556 501 427 362 295 229 201 210 265 327 313 268 205 137 79 36 9 14 16 30 52 60 68 65 50 44 56 72 51 36 33 34 30 23 15 6 1 0 0 0 0 0 0 4 18 48 97 171 295 431 528 619 703 773 805 837 935 1096 1253 1389 1556 1602 1565 1506 1437 1377 1341 1319 1257 1153 1264 1472 1671 1793 1855 1903 1978 2053 1942 1835 1754 1669 1580 1520 1532 1531 1437 1383 1315 1170 1057 1042 1021 954 895 875 853 799 749 702 633
313 291 268 269 288 269 192 162 100 82 74 65 66 89 122 156 198 244 269 305 331 339 362 395 427 457 491 510 484 475 426 442 494 511 434 309 205 144 111 85 93 119 159 193 175 128 80 45 20 7 3 2 5 9 16 23 28 25 19 16 20 33 17 6 8 14 16 17 19 12 5 2 2 2 1 1 2 14 44 93 157 253 371 451 500 549 596 625 636 661 748 894 1071 1230 1484 1649 1710 1690 1662 1652 1531 1398 1312 1481 1592 1678 1722 1726 1725 1754 1852 1949 1870 1803 1780 1766 1674 1540 1449 1462 1620 1632 1502 1395 1316 1211 1096 1054 1078 1060 1033 996 977 955 919
196 181 151 151 215 285 253 221 112 45 44 59 88 125 164 204 246 288 305 344 371 391 425 474 517 536 521 477 417 457 431 428 410 350 244 138 83 70 69 56 53 70 86 88 77 55 33 18 11 10 9 7 6 7 7 7 7 7 5 3 6 10 8 5 5 9 11 13 18 16 13 10 8 9 9 7 11 39 89 145 205 288 354 386 399 417 433 433 426 435 498 583 713 896 1125 1330 1401 1357 1331 1375 1146 1018 999 1137 1289 1355 1342 1293 1246 1252 1353 1379 1259 1318 1445 1499 1454 1399 1445 1607 1788 1670 1586 1495 1393 1311 1292 1302 1232 1160 1158 1156 1161 1201 1205
124 153 148 115 139 237 265 256 180 99 134 187 231 258 274 298 329 356 384 415 442 490 546 585 581 529 479 472 500 548 537 477 389 266 140 63 37 33 43 35 26 22 25 31 31 22 12 9 9 7 6 8 8 9 10 8 7 5 3 1 2 2 2 1 5 9 9 10 11 15 16 15 16 16 16 17 33 76 128 170 193 252 266 252 243 257 272 269 263 263 318 361 417 509 589 604 588 633 679 768 633 611 646 689 730 783 826 779 669 722 811 723 667 791 922 986 1010 1050 1164 1421 1520 1527 1456 1373 1309 1278 1314 1369 1361 1338 1318 1278 1270 1274 1255
109 128 133 117 125 175 220 234 224 220 203 231 298 348 369 394 431 445 443 487 522 562 576 575 546 476 452 510 610 630 553 409 244 112 42 18 13 11 12 13 13 12 13 14 11 8 5 5 6 6 7 8 9 10 10 9 5 3 1 0 1 1 2 2 4 6 6 8 12 16 18 19 21 20 19 27 54 99 137 152 152 168 166 157 154 161 166 163 170 186 225 254 266 262 257 271 263 306 350 402 414 416 424 433 442 456 491 500 511 611 634 629 624 612 609 605 586 643 736 897 1126 1193 1145 1096 1121 1268 1511 1689 1645 1507 1378 1308 1296 1312 1331
95 110 124 119 95 95 117 116 121 145 103 109 162 207 258 308 337 350 379 485 537 520 492 484 482 493 529 609 662 591 441 258 109 31 6 1 2 2 2 3 6 7 7 7 5 3 3 3 4 5 7 9 9 9 7 6 4 2 0 0 0 0 1 1 0 1 3 8 15 18 20 21 21 21 24 35 62 91 105 103 98 96 96 101 108 112 123 135 152 168 185 198 211 203 181 214 249 277 263 246 250 269 296 310 330 361 418 463 499 545 529 491 473 475 473 468 464 517 563 602 651 735 815 922 1107 1281 1464 1647 1559 1327 1166 1104 1105 1136 1187
69 86 103 96 50 31 34 25 21 29 18 25 55 95 132 126 165 266 299 361 405 418 417 426 479 597 663 680 612 454 288 140 41 3 0 0 0 0 0 0 1 1 2 4 5 3 1 3 4 5 8 9 8 5 3 2 1 1 0 0 0 0 0 0 0 1 2 10 18 19 20 22 24 24 27 37 51 57 58 54 51 52 57 65 80 98 111 131 150 156 156 160 174 187 199 223 247 242 206 181 204 255 292 316 329 352 401 419 399 396 402 417 442 453 467 490 515 544 574 600 612 642 720 825 905 924 907 794 769 783 760 727 712 737 791
40 66 84 76 39 35 31 14 3 1 3 14 46 94 127 78 155 250 286 288 285 299 325 366 476 625 635 575 453 288 146 54 11 0 0 1 2 2 1 0 0 0 1 2 3 2 2 2 4 6 8 6 3 1 1 0 0 0 0 0 0 0 0 0 0 1 3 13 21 22 22 23 23 23 26 29 28 29 29 31 34 39 49 63 85 97 115 133 143 145 136 130 145 161 169 178 188 204 188 170 176 205 246 265 239 266 351 396 412 421 414 402 416 410 435 464 520 562 574 570 566 567 554 544 513 507 510 504 506 518 528 503 461 472 480
27 62 93 96 69 61 42 19 5 1 6 33 92 148 123 120 177 207 217 207 188 194 242 318 455 548 511 409 276 147 55 12 2 2 2 3 6 5 2 0 0 0 0 0 1 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 4 11 17 20 19 16 12 7 18 20 20 22 31 46 59 65 73 92 123 148 161 168 178 183 171 149 142 133 134 130 128 135 139 135 125 114 132 205 252 297 327 360 397 417 405 388 370 353 361 396 452 485 477 444 408 393 399 400 369 365 383 395 406 435 465 486 479 459 438
23 49 67 69 52 40 23 10 5 2 6 26 48 37 29 80 119 115 87 86 102 136 212 312 435 441 356 239 126 47 10 1 1 3 3 4 4 2 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 1 0 0 2 5 8 9 9 8 3 1 8 15 20 27 48 76 88 91 92 97 124 155 169 183 206 220 211 187 157 125 104 98 92 87 90 99 102 98 100 133 154 177 210 250 287 313 340 349 341 324 311 321 361 402 404 377 353 328 321 312 292 281 281 286 306 333 396 447 461 455 450
16 23 23 16 12 9 5 3 5 4 4 10 12 6 14 31 41 45 42 53 97 176 284 388 390 295 188 98 36 6 0 0 2 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 3 9 16 22 31 50 70 71 63 54 52 64 85 105 133 166 188 186 162 134 117 102 90 83 82 86 88 92 95 80 82 94 107 126 146 164 175 190 207 214 226 234 242 248 249 242 248 230 218 216 207 188 170 163 165 176 207 259 291 308 328 357
9 5 3 1 1 0 2 3 4 2 1 1 2 1 3 5 5 6 11 49 130 223 294 291 215 135 67 24 5 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 18 24 31 40 46 44 42 36 36 39 42 51 69 93 110 93 88 75 61 55 58 59 58 67 71 71 75 89 89 77 78 86 85 87 86 77 77 86 98 117 134 133 122 89 90 113 125 126 120 107 95 105 112 117 124 137 146 157 179 214
6 1 0 0 1 3 4 4 3 2 1 1 1 1 0 1 1 1 18 69 145 197 184 134 81 42 15 3 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 17 22 27 33 35 32 31 29 29 31 31 31 34 44 51 42 40 36 33 33 33 33 34 36 43 42 43 42 42 45 46 47 47 50 48 45 42 42 45 49 56 61 64 50 50 58 64 67 67 63 57 63 70 72 69 67 67 71 83 99
2 0 0 0 2 6 7 7 4 0 0 0 1 0 0 1 1 3 15 44 83 107 61 32 13 5 2 1 2 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 2 7 11 12 14 18 24 24 23 21 20 21 23 23 22 22 27 29 28 26 24 24 23 22 21 22 22 22 25 27 29 30 30 30 28 29 29 28 27 26 28 30 32 34 37 40 39 40 42 44 44 43 39 37 40 44 49 48 41 38 39 40 43
1 2 3 3 4 4 4 4 3 0 1 0 0 0 0 0 0 1 2 7 20 37 11 4 1 0 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 7 8 10 10 10 8 8 11 15 15 15 13 14 16 17 18 18 17 16 15 13 13 12 11 13 16 18 20 20 20 20 20 19 19 20 20 20 21 22 23 26 29 32 33 35 36 35 32 27 24 25 29 36 40 38 38 37 35 33
4 7 8 6 2 1 2 2 1 2 2 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 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 3 2 2 1 1 1 4 5 6 5 5 5 7 9 10 11 11 10 8 7 6 6 7 9 11 11 11 12 12 12 12 13 15 17 17 18 19 19 21 22 24 26 28 28 29 28 24 20 19 21 26 31 34 37 38 38 38
8 10 9 4 1 1 5 5 3 5 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 5 7 6 5 3 2 2 2 3 3 4 5 5 4 4 4 5 6 8 10 12 14 16 18 18 18 18 20 21 23 23 22 19 18 18 18 21 24 28 31 33 36
11 10 7 2 0 4 8 8 7 8 9 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 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 1 0 0 1 0 1 2 6 9 11 14 15 15 15 15 15 15 16 16 14 13 12 11 12 15 17 20 23 25
10 7 4 2 4 8 9 9 9 8 7 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 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 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 10 12 13 12 12 12 11 11 10 10 11 8 8 8 10 11 13 14
7 5 4 6 8 10 10 9 7 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 7 7 7 6 5 3 4 3 4 5 5 6 7 9 9
8 8 8 9 10 10 9 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 2 2 1 1 1 1 0 0 0 0 1 1 2 3 4 5
10 10 10 9 10 10 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1
11 10 8 7 7 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 9 4 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 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
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 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 2 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 12 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 11 16 20