Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 11 13 13 11 8 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 4 -1 -3 -1 4 8 10 10 9 7 6 5 5 6 7 8 10 10 10 8 6 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 nan
nan 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 1 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 11 11 10 9 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 3 -1 -3 -0 4 8 10 10 9 7 6 5 5 5 6 7 8 9 8 7 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 nan
nan 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 9 11 12 12 10 8 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 5 1 -3 -4 -1 4 8 10 10 9 8 7 6 5 5 6 6 6 7 7 6 4 3 3 3 3 4 4 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 4 nan
nan 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 12 13 13 12 9 8 7 7 7 6 6 7 7 6 6 6 6 6 6 6 4 -1 -5 -5 -0 5 8 9 9 8 8 7 6 6 6 6 6 6 6 6 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 3 2 2 1 1 2 2 2 3 3 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 6 5 5 6 6 8 9 10 11 12 12 11 10 8 7 7 7 6 6 7 7 6 6 6 6 6 6 6 2 -3 -6 -4 1 4 7 8 9 8 7 7 6 6 6 7 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 6 6 6 6 6 6 7 6 6 6 6 6 6 5 nan
nan 5 5 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 1 2 2 3 3 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 6 5 6 6 6 7 8 9 10 10 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 0 -4 -5 -1 1 4 6 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 nan
nan 6 5 4 3 2 2 2 3 3 3 3 2 2 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 6 6 6 7 9 10 10 9 7 7 8 9 9 8 6 6 6 7 7 7 6 6 6 6 6 6 3 -1 -3 -2 0 2 3 5 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 6 6 6 6 7 9 10 11 10 8 7 8 9 9 8 7 6 6 7 7 7 7 7 7 6 6 6 6 3 1 -0 0 1 2 3 5 6 7 8 8 8 8 7 7 7 7 6 7 7 6 6 6 6 5 5 5 5 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 nan
nan 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 7 8 10 11 11 10 8 8 9 10 10 8 6 6 7 7 7 7 6 7 7 6 6 6 7 5 4 2 2 1 2 3 5 6 8 8 9 8 8 8 8 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 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 7 6 6 7 7 7 6 6 6 6 6 6 6 7 7 5 3 2 1 1 2 5 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 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 nan
nan 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 8 8 8 8 6 7 7 8 7 6 6 6 6 6 5 5 5 4 3 2 0 -0 0 3 6 8 9 9 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 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 nan
nan 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 10 10 10 10 9 8 8 9 8 8 8 8 8 7 6 6 6 7 6 6 5 3 1 0 -0 -0 -0 1 4 7 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 9 8 8 8 8 7 8 8 8 8 7 6 6 7 7 6 6 6 4 2 1 0 0 1 3 6 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 5 7 8 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 6 6 7 8 8 8 7 6 6 7 7 6 6 5 4 3 2 1 1 2 4 6 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 6 8 9 9 7 5 4 4 4 5 5 5 6 6 5 5 5 5 4 4 4 3 3 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 8 9 9 10 11 10 10 9 7 7 7 7 7 7 6 6 7 7 7 6 5 3 2 1 1 2 2 4 5 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 9 10 9 8 6 4 4 4 5 5 6 6 6 5 5 5 4 4 4 3 3 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 9 9 9 8 8 9 11 13 13 12 11 10 9 8 8 7 6 6 6 6 7 7 7 6 4 2 1 1 2 2 3 4 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 6 7 7 6 6 5 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 11 12 13 12 11 10 10 9 8 7 6 6 6 6 6 6 6 7 6 4 2 1 2 2 3 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 nan
nan 6 4 4 5 6 7 8 8 8 8 8 7 7 6 5 5 4 4 4 4 3 3 4 4 5 6 6 7 7 7 7 7 7 7 8 9 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 11 10 9 9 9 8 7 6 5 5 6 6 6 6 7 6 6 4 3 2 2 3 3 4 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 7 7 nan
nan 5 4 4 5 7 8 10 11 11 11 10 8 7 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 8 10 12 13 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 11 11 12 11 11 10 9 9 9 8 7 6 5 5 5 6 6 6 6 6 6 5 4 3 3 3 3 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 nan
nan 6 6 6 7 7 8 10 11 11 11 10 9 7 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 8 10 12 13 14 15 15 16 15 15 14 13 12 11 11 11 11 11 11 12 12 13 13 12 11 10 9 9 8 7 6 4 4 5 6 6 6 6 7 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 8 8 7 7 6 6 6 7 8 8 9 9 8 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 11 13 14 15 16 16 16 16 15 15 14 13 12 12 12 12 12 12 13 14 14 13 12 11 10 10 9 8 7 6 5 5 7 7 7 7 7 7 7 7 6 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 8 9 8 7 5 4 3 3 3 4 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 7 8 9 9 11 13 15 16 16 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 11 10 10 10 10 10 9 7 7 7 8 7 7 7 7 7 7 8 7 7 6 5 5 5 5 5 5 5 4 4 3 3 3 4 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 8 8 6 5 4 3 2 3 3 4 5 6 7 8 9 9 9 8 8 7 7 6 6 6 7 7 8 9 10 11 12 15 17 18 18 17 14 12 11 10 11 12 13 13 14 15 15 16 17 17 15 13 12 10 10 10 10 11 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 3 3 3 4 5 6 6 7 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 nan
nan 7 7 7 7 7 6 5 5 4 4 5 6 7 7 8 9 9 10 10 10 9 8 8 8 8 9 10 11 12 13 15 18 21 22 20 18 15 12 10 9 9 9 9 10 11 13 15 16 17 17 17 14 12 11 10 10 10 10 10 9 8 8 8 9 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 2 3 3 4 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 6 6 5 5 5 5 6 6 6 6 7 7 6 7 7 7 7 7 7 nan
nan 9 10 9 9 9 9 8 7 7 7 7 7 7 8 8 10 11 12 12 12 12 11 11 11 12 13 14 15 17 19 21 23 24 22 19 15 12 11 10 9 9 8 8 9 10 11 13 14 14 15 13 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 6 6 6 5 5 5 5 5 4 4 3 3 2 3 3 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 nan
nan 10 11 12 11 11 11 10 10 11 11 12 11 10 10 11 12 14 15 16 15 14 14 15 16 17 17 18 19 21 22 23 23 22 18 14 12 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 7 7 6 6 6 6 6 6 5 4 4 3 3 3 3 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 nan
nan 8 9 11 12 13 13 13 14 16 16 16 17 16 14 13 14 15 16 16 15 15 16 18 19 19 18 18 19 21 20 19 17 14 12 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 7 6 6 6 5 5 4 3 3 4 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 7 7 7 nan
nan 7 7 9 11 12 12 13 14 15 15 16 18 19 17 15 13 13 13 12 12 13 16 17 17 15 14 14 15 15 14 12 10 9 9 9 9 8 8 8 7 8 8 9 9 9 8 8 8 7 7 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 6 5 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 7 8 9 10 10 10 9 10 10 11 13 15 15 13 11 10 10 9 9 11 13 13 12 11 10 9 9 9 9 7 7 8 8 9 8 7 7 6 6 7 7 8 8 8 8 7 7 7 6 6 7 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 8 9 9 10 11 11 11 10 9 8 7 7 6 5 5 5 5 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 7 8 8 8 8 8 7 6 7 8 10 11 10 9 9 8 8 8 8 9 10 9 9 8 8 7 6 6 7 6 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 7 7 8 9 11 11 11 10 9 9 8 7 6 5 4 5 6 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 nan
nan 6 7 7 7 7 7 7 7 6 7 8 9 8 7 7 8 8 8 8 9 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 6 5 4 3 4 6 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 7 7 8 8 8 8 nan
nan 6 7 7 7 7 8 8 7 7 8 9 10 9 9 8 8 8 8 9 8 7 6 6 6 7 6 6 6 7 6 6 5 5 5 5 6 7 7 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 7 7 7 7 6 7 8 9 10 10 9 9 9 8 7 5 4 3 3 3 5 6 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 nan
nan 6 7 7 8 8 8 8 9 9 9 9 10 11 12 11 9 8 8 8 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 9 9 10 9 9 8 8 7 6 5 4 3 3 3 4 5 6 7 8 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 nan
nan 6 6 7 8 8 9 9 10 10 10 10 10 10 11 11 10 8 8 7 6 6 6 7 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 7 7 8 9 9 9 9 8 8 7 6 5 5 4 3 3 4 4 5 5 6 7 8 9 9 10 10 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 13 13 12 12 12 11 12 11 11 10 10 10 11 12 11 10 10 10 10 9 nan
nan 7 7 8 8 9 10 10 10 11 11 11 10 9 8 8 8 7 7 7 6 7 7 8 8 8 7 7 7 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 5 5 4 4 4 5 5 5 6 7 8 9 10 10 11 12 12 13 13 14 14 14 14 15 15 15 15 16 16 16 16 16 15 15 15 14 14 13 13 12 12 12 11 11 11 12 13 12 11 10 10 11 11 11 nan
nan 9 9 9 10 10 10 10 10 11 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 5 5 6 6 6 7 7 8 9 10 11 12 13 13 14 15 15 15 16 16 17 17 17 18 18 18 18 19 19 19 18 18 18 17 17 16 15 14 14 13 13 12 12 12 13 13 11 11 11 11 12 12 12 nan
nan 9 11 11 11 11 11 11 10 9 8 7 8 8 8 7 7 7 8 8 9 9 10 9 9 9 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 9 8 8 7 7 7 7 8 8 9 9 10 11 13 14 15 16 16 16 17 17 17 17 17 18 18 19 19 19 19 19 19 20 20 21 21 21 21 20 19 19 18 16 15 14 13 13 12 12 12 12 11 11 12 12 12 12 12 nan
nan 10 11 12 12 12 11 10 8 7 6 6 8 9 9 8 8 8 8 8 9 9 10 10 9 9 9 8 8 9 9 9 9 8 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 8 8 9 9 9 8 9 9 9 9 9 10 11 11 11 12 12 13 15 16 17 18 19 19 19 18 18 18 18 17 17 18 18 18 18 18 18 19 19 19 21 22 22 22 22 21 21 20 18 17 16 15 14 14 13 13 12 12 12 12 12 12 11 11 nan
nan 11 12 12 11 10 9 9 8 8 7 8 9 9 9 9 9 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 9 10 11 12 13 14 14 15 15 15 16 17 19 20 20 20 19 18 17 16 16 15 15 15 15 15 16 15 16 16 16 17 17 19 20 21 21 22 23 23 22 21 19 19 18 17 16 16 15 14 13 13 13 12 11 11 11 nan
nan 12 11 10 8 7 7 8 9 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 7 6 8 11 13 14 15 16 17 17 17 17 18 18 19 19 18 16 15 14 13 13 12 12 12 12 12 12 13 14 14 14 15 15 16 17 19 20 21 23 24 25 25 23 22 21 20 20 19 19 18 16 15 15 14 14 13 13 13 nan
nan 12 11 8 6 5 5 7 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 8 5 3 6 10 12 13 15 16 17 17 17 17 17 16 15 15 14 12 11 10 10 10 10 10 10 11 12 12 13 13 14 14 14 15 16 18 18 19 21 23 26 27 27 26 24 23 22 22 21 21 21 20 18 17 17 16 16 16 16 nan
nan 11 9 7 5 5 5 6 7 7 8 8 9 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 9 7 4 2 2 5 8 10 12 13 14 14 14 14 13 12 11 10 10 9 9 9 8 8 8 9 11 12 13 14 14 14 14 14 14 15 17 18 18 19 20 22 25 27 27 26 24 23 22 22 22 22 22 21 21 20 19 20 20 20 20 nan
nan 9 8 6 6 6 6 6 7 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 5 2 -0 -1 1 5 8 9 9 9 8 8 8 7 8 8 9 9 8 7 7 6 7 9 11 13 14 15 15 14 14 13 14 14 15 16 16 16 17 18 20 22 23 23 22 21 20 19 20 20 20 21 21 21 21 22 23 24 24 nan
nan 8 7 6 6 6 7 7 8 8 8 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 8 7 8 8 9 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 6 4 1 -1 -2 0 3 4 4 3 3 3 3 5 6 8 8 8 6 5 4 5 6 8 10 12 13 14 14 12 11 11 11 12 12 12 12 12 12 13 14 16 17 17 17 16 15 15 15 16 16 17 18 19 20 21 23 24 25 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 7 6 5 5 5 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 6 5 6 7 7 7 6 5 2 0 0 1 1 0 -0 -0 0 1 3 5 7 6 5 3 2 3 4 6 8 9 10 10 10 9 8 7 7 7 8 8 9 8 8 9 9 10 11 12 12 12 11 12 12 12 13 13 13 14 15 16 18 19 21 22 nan
nan 7 8 8 8 7 7 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 6 5 5 6 7 7 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 8 8 9 10 9 7 5 4 5 7 7 8 8 7 6 4 3 3 1 -0 -1 -1 -1 1 2 4 5 4 3 2 2 4 5 7 8 8 8 7 6 4 4 3 3 4 4 5 6 6 6 7 7 8 9 9 10 10 10 11 11 12 12 12 11 11 11 12 13 14 15 16 nan
nan 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 10 10 9 8 8 9 9 9 8 8 8 9 9 9 9 7 6 6 6 7 7 7 8 8 8 9 8 8 8 8 9 8 8 7 6 6 7 8 9 10 10 9 6 4 3 5 7 8 8 8 8 8 7 7 6 4 2 -0 -2 -2 -0 1 2 3 3 3 3 4 6 8 9 9 8 7 5 3 1 1 1 2 3 3 4 4 4 5 5 6 6 7 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 nan
nan 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 9 9 9 9 8 8 8 9 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 8 7 7 6 7 8 9 10 9 8 6 4 4 6 7 8 8 8 8 8 8 8 7 6 5 2 -1 -2 -2 0 2 3 4 4 5 6 8 9 9 9 9 7 5 2 1 1 2 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 7 8 9 9 8 7 4 4 5 7 8 8 8 8 8 7 7 7 7 6 6 4 1 -1 -1 -1 1 2 3 3 4 6 7 8 9 9 9 8 6 4 4 4 5 6 7 8 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 nan
nan 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 9 9 8 5 4 4 6 8 8 8 8 8 7 7 7 7 6 6 6 6 5 3 1 -0 -1 -1 1 2 3 4 5 6 7 8 8 8 7 6 5 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 5 4 4 3 2 1 1 1 2 2 3 3 3 3 3 nan
nan 6 6 6 7 7 7 7 7 7 8 9 8 8 7 8 8 8 8 7 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 8 8 9 8 7 5 4 5 6 8 8 8 8 7 7 7 6 6 6 5 6 7 7 6 4 2 -1 -3 -2 -1 1 3 4 5 6 7 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 2 2 2 2 2 3 4 4 4 4 4 nan
nan 6 6 6 7 7 7 7 7 8 10 10 8 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 9 9 8 7 4 4 5 7 8 8 8 8 7 7 6 6 5 5 5 6 7 7 8 7 5 2 -2 -4 -3 -1 2 4 4 5 6 6 6 6 5 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 4 4 4 4 4 5 5 5 5 6 6 6 nan
nan 6 6 7 7 7 7 6 7 9 10 10 8 7 7 7 7 8 8 8 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 8 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 9 9 8 6 5 4 5 7 8 8 8 8 8 7 7 6 5 5 5 6 7 7 8 8 7 5 1 -3 -5 -3 1 3 4 4 5 6 6 5 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 7 8 10 10 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 8 7 5 4 5 7 8 8 8 8 8 8 7 7 6 5 5 6 6 7 8 8 8 7 4 -1 -5 -4 -1 2 3 4 5 6 6 5 4 3 4 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 7 8 9 10 9 8 7 7 7 7 7 7 7 8 7 7 7 7 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 5 5 5 7 8 8 8 8 8 8 8 7 6 6 5 6 7 7 7 7 7 7 5 1 -3 -4 -1 2 3 4 5 6 6 5 3 3 4 5 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 nan
nan 7 7 7 7 6 6 8 9 10 9 8 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 7 7 7 7 8 8 7 7 6 6 6 7 7 8 8 7 7 7 7 8 9 10 9 8 7 6 7 8 8 9 8 8 7 7 7 7 8 8 8 7 6 5 5 6 7 8 8 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 6 6 4 1 -2 -1 2 3 4 6 6 5 4 2 2 3 4 5 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 8 10 11 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 8 8 8 7 7 8 8 9 9 8 7 6 6 7 8 9 9 8 8 7 7 7 8 9 9 8 6 5 5 5 7 7 8 8 8 8 8 8 8 8 7 7 6 7 8 8 8 7 7 6 6 6 4 2 1 2 3 5 7 8 6 3 1 1 2 2 3 5 6 6 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 7 7 7 7 7 7 8 10 11 10 9 8 8 7 7 7 7 7 8 9 9 9 8 8 7 7 7 8 7 7 7 8 8 7 6 5 5 5 7 7 8 8 7 7 8 8 9 8 7 7 7 7 7 8 9 9 8 8 7 7 7 8 9 9 8 6 5 4 5 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 7 6 5 4 3 4 6 9 9 6 2 0 -0 0 1 2 4 5 6 6 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 7 7 7 8 8 8 9 11 10 9 9 8 8 8 7 7 7 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 6 7 7 7 8 8 8 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 8 9 9 8 6 4 3 5 7 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 8 7 6 7 7 7 6 5 5 6 8 10 10 6 1 -2 -2 -1 1 2 3 4 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 7 7 7 7 7 8 9 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 6 5 5 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 9 10 9 8 7 7 7 8 9 9 8 7 6 4 3 4 6 8 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 7 7 6 6 7 8 9 8 6 1 -3 -4 -1 1 1 2 3 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 nan
nan 7 7 7 6 7 8 10 11 11 10 9 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 6 7 7 8 8 9 10 10 10 9 8 8 8 9 9 9 10 9 8 7 6 6 8 8 8 8 8 7 5 3 3 4 7 9 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 7 7 7 6 6 7 8 8 6 3 -2 -2 -1 0 1 2 3 4 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 nan
nan 6 6 6 6 7 9 11 11 10 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 8 8 9 10 10 10 9 9 8 8 9 10 11 10 9 8 7 5 5 6 7 8 8 7 7 6 3 2 3 5 8 9 10 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 6 6 7 7 8 7 5 3 2 1 -0 -0 1 2 4 5 5 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 nan
nan 6 6 6 7 8 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 8 9 11 12 11 10 8 7 7 7 8 9 9 10 10 10 9 8 8 9 10 11 11 11 10 8 7 6 6 7 7 7 7 8 8 6 2 2 3 6 9 10 10 9 8 8 7 7 6 7 8 9 9 8 8 8 7 7 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 6 3 0 -0 0 2 3 4 5 6 6 6 6 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 6 6 8 10 11 11 9 8 7 7 7 8 9 10 10 9 9 9 9 9 10 12 12 12 11 10 9 8 7 8 8 8 7 8 9 8 5 2 2 4 8 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 6 7 7 8 8 8 7 5 3 2 1 1 2 4 5 6 7 7 6 5 5 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 9 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 7 6 7 8 9 9 9 7 7 7 8 9 10 10 9 8 8 8 9 10 11 13 13 12 11 10 10 9 8 9 10 10 9 9 9 7 3 2 3 6 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 7 6 6 4 2 2 3 6 8 9 8 6 4 4 4 5 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 9 10 10 11 11 10 9 8 7 7 8 8 8 6 6 6 7 9 10 10 8 7 7 8 9 9 11 12 12 11 11 10 9 9 9 11 11 11 10 8 6 4 2 3 5 8 10 10 10 9 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 7 7 7 7 6 4 3 5 7 11 11 8 5 2 1 3 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 8 7 7 8 9 10 9 7 6 6 5 6 7 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 7 6 6 6 7 8 9 9 8 7 7 8 8 9 10 11 11 10 10 9 9 10 11 12 13 11 8 4 2 1 2 4 7 9 11 10 9 8 8 7 7 8 8 8 8 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 9 11 11 7 1 -5 -4 2 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 9 8 7 7 8 9 10 9 8 7 6 6 6 7 7 8 8 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 8 9 11 13 14 14 11 6 0 -2 -1 2 6 9 11 11 9 8 7 7 7 7 8 8 9 10 10 9 7 6 6 7 7 7 7 8 8 8 8 7 7 8 8 9 8 8 7 7 7 8 7 7 7 7 8 8 8 9 9 7 2 -6 -12 -6 3 7 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 10 10 9 8 8 8 8 9 9 10 10 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 10 11 13 14 13 9 2 -3 -3 -0 4 8 11 11 10 8 7 7 7 7 8 8 8 9 10 10 9 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 8 8 7 4 -3 -11 -11 -3 5 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 9 10 9 9 8 8 8 8 8 10 11 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 11 10 10 9 8 8 7 7 7 8 7 8 9 9 9 9 8 8 8 8 9 10 11 12 11 9 3 -2 -4 -2 3 8 11 12 10 8 7 6 6 7 8 8 9 9 9 10 10 9 8 7 7 6 6 7 7 8 8 8 8 9 9 9 8 8 7 8 8 8 8 7 7 7 6 7 7 7 7 8 6 2 -6 -10 -5 4 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 10 10 9 9 8 7 7 8 9 11 10 9 8 7 6 6 6 7 7 7 7 7 7 8 8 7 8 8 9 10 10 10 10 10 10 10 9 8 7 7 8 8 7 7 7 9 9 9 9 9 9 9 9 9 9 9 8 5 -0 -3 -1 3 8 12 13 12 9 6 6 6 7 8 8 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 7 6 6 7 7 7 7 6 1 -5 -4 4 11 12 10 8 8 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 10 10 10 9 9 8 8 7 8 9 10 10 10 8 7 6 5 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 9 10 10 10 10 9 9 8 8 7 6 3 0 0 3 8 11 14 13 9 6 5 6 8 8 8 9 9 9 9 8 8 8 8 8 7 6 6 7 7 8 8 8 9 9 9 9 8 8 8 7 8 8 8 8 8 8 7 7 6 6 6 7 7 6 3 1 5 13 16 13 9 6 6 6 6 6 6 7 7 8 8 8 7 7 7 nan
nan 10 9 9 9 9 8 8 8 9 9 10 10 10 9 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 9 9 10 9 9 8 7 8 9 9 8 7 8 9 9 10 10 10 9 8 7 6 5 3 3 4 7 10 12 12 10 7 5 5 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 12 16 15 11 7 5 4 3 3 4 5 6 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 9 9 7 6 6 6 7 7 8 9 10 10 9 8 7 7 9 10 9 8 8 7 8 8 9 9 9 8 7 6 5 4 5 7 9 11 11 9 6 5 5 7 9 10 10 9 8 8 8 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 12 12 11 9 7 4 1 -1 -0 2 5 6 6 7 7 7 7 7 7 nan
nan 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 7 7 7 6 6 7 8 8 7 7 8 8 9 8 7 7 7 7 7 7 7 9 10 10 10 9 8 8 9 10 10 9 8 7 6 6 7 7 8 7 6 5 5 6 6 8 10 10 9 6 4 5 7 9 10 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 10 9 9 9 8 7 7 6 3 -1 -4 -4 1 4 5 6 6 6 7 7 7 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 8 8 9 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 8 6 5 6 7 7 7 7 6 6 6 6 6 7 8 9 9 7 6 5 6 8 10 10 9 8 8 7 7 8 8 8 8 8 8 8 7 6 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 9 9 9 8 6 4 4 3 0 -4 -9 -7 0 4 5 6 6 6 6 7 7 7 nan
nan 8 8 9 9 9 9 9 8 9 9 8 8 7 7 8 8 8 7 7 7 7 8 8 9 10 9 9 9 9 8 8 8 9 10 9 8 8 7 8 8 9 10 10 11 10 9 7 5 5 7 8 9 9 7 6 6 6 6 6 7 7 8 8 8 7 7 7 9 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 8 9 9 9 7 3 -0 -2 -2 -4 -8 -11 -6 0 4 5 6 6 6 6 7 7 8 nan
nan 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 8 8 7 8 8 9 10 10 11 10 9 6 5 6 8 10 10 9 7 6 6 6 7 6 6 6 7 7 8 8 7 7 8 8 7 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 7 7 6 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 7 8 8 9 10 9 5 2 -1 -3 -4 -4 -7 -6 -1 3 5 5 6 6 6 6 7 7 8 nan
nan 8 8 8 9 9 9 9 8 8 8 9 10 9 8 7 6 7 7 8 9 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 9 7 6 7 9 10 11 10 8 7 7 7 7 6 6 6 6 7 8 8 7 7 7 6 6 7 8 8 8 8 9 9 9 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 7 8 8 9 10 10 8 6 5 3 1 0 -1 -2 -0 2 4 5 6 6 6 6 7 7 8 8 nan
nan 8 8 8 8 9 9 9 8 8 8 8 10 10 9 7 6 6 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 9 10 10 11 11 10 10 9 9 7 7 6 6 7 7 7 7 7 6 5 5 6 7 7 8 8 9 9 8 7 7 8 8 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 10 10 9 8 8 8 7 5 3 -0 -2 -1 2 4 5 6 6 6 7 7 8 8 8 nan
nan 8 8 7 8 8 9 9 8 8 8 9 10 9 8 7 6 6 7 8 8 8 7 7 7 7 8 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 10 11 12 12 12 12 11 10 10 9 8 7 6 6 7 6 5 5 5 6 7 7 8 8 8 8 7 7 8 8 9 10 10 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 2 -3 -5 -3 1 4 6 6 6 7 7 7 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
99 112 113 100 89 84 65 60 49 42 38 34 28 23 18 14 8 2 7 10 14 15 15 15 18 24 30 32 31 29 27 27 28 26 26 25 22 20 20 21 23 24 19 19 20 21 20 21 23 25 26 27 28 24 25 26 27 25 26 29 36 47 48 32 29 24 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 9 8 9 15 23 29 37 48 67 100 132 123 100 73 55 41 33 27 20 14 10 8 4 2 1 1 1 1 2 3 3 3 4 5 6 6 8 9 11 15 20 32 54 82 102 109 103
138 157 139 111 106 99 81 71 60 49 41 34 29 23 20 14 3 4 7 7 10 12 14 16 17 20 23 24 20 19 19 19 19 16 13 12 14 14 13 16 17 18 17 16 16 16 15 17 20 22 25 26 28 26 25 25 25 25 29 39 55 63 46 30 25 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 3 6 8 8 11 18 26 33 45 66 107 177 196 173 135 98 68 49 38 29 21 17 14 9 7 4 3 3 3 3 4 5 6 7 7 8 8 8 8 8 11 15 24 41 59 60 95 85
155 168 134 118 126 119 101 86 71 57 45 36 31 26 22 17 7 7 7 8 10 12 14 17 18 17 15 17 13 14 14 13 12 10 9 8 8 8 9 10 10 11 15 15 14 13 13 14 15 19 24 26 25 24 24 24 23 22 27 36 47 56 38 24 17 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 0 4 6 6 8 14 19 26 35 52 86 171 240 271 234 164 108 73 47 36 28 23 20 16 13 10 8 7 7 6 6 7 5 7 7 8 10 10 10 10 12 15 20 32 54 46 56 49
176 175 147 135 138 132 115 98 81 66 52 42 34 30 26 23 17 17 19 16 13 14 17 22 27 25 15 18 19 20 17 14 10 7 6 6 5 6 6 7 8 8 10 10 11 12 12 12 13 16 18 20 21 21 22 21 18 18 23 28 33 43 31 17 12 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 4 1 2 4 5 7 11 15 17 26 37 57 109 172 233 233 178 115 74 50 40 35 30 25 21 17 15 15 16 16 12 9 8 7 8 10 12 13 13 12 13 13 16 19 23 42 40 32 28
202 182 160 147 146 142 127 109 93 78 63 51 42 38 35 31 30 40 52 53 41 28 26 29 32 30 24 25 25 26 24 17 10 5 5 5 5 6 6 6 6 7 7 8 9 11 12 13 15 15 14 15 16 16 18 17 14 16 22 27 25 21 20 18 14 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 11 5 1 1 2 4 7 10 13 15 18 22 35 54 81 112 124 109 85 62 45 40 37 33 28 24 22 20 20 22 26 21 16 12 9 9 12 14 14 13 14 15 15 18 20 23 31 34 31 35
212 178 158 149 153 154 147 129 109 90 73 61 56 56 55 50 52 66 79 85 71 49 41 36 34 31 29 31 29 34 26 13 7 5 5 4 4 5 5 4 5 6 7 7 8 10 12 13 14 15 15 15 16 14 15 16 16 19 25 28 22 15 12 14 11 8 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 9 6 2 0 0 2 6 9 12 14 15 17 22 31 43 54 61 63 60 55 41 37 34 32 29 25 23 22 22 25 27 27 22 17 14 13 13 14 14 14 16 20 20 22 27 32 40 46 50 49
211 176 157 157 168 164 155 138 117 102 92 86 90 89 84 81 83 95 99 102 91 64 51 46 37 32 31 36 40 45 34 17 12 8 5 5 5 5 5 4 5 6 7 7 7 9 11 12 12 13 14 14 15 15 14 14 15 18 25 29 22 15 11 10 10 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 1 2 3 7 12 11 12 16 19 24 31 39 45 47 46 41 35 31 29 27 26 25 24 23 23 24 27 28 26 23 20 16 14 14 14 14 18 21 24 32 44 54 60 61 67 70
225 199 187 197 208 179 137 110 102 102 104 107 121 112 96 88 91 105 116 125 122 91 62 62 51 53 48 47 50 49 40 30 25 20 15 5 5 5 5 4 4 5 6 6 7 8 9 9 9 11 12 13 13 14 13 13 14 17 24 37 32 21 15 13 12 11 10 8 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 7 10 10 12 17 22 26 30 34 36 36 35 32 28 24 22 22 22 23 22 22 22 24 26 27 27 26 21 16 16 17 17 19 21 29 45 60 67 72 77 84 86
284 268 265 273 258 194 118 78 73 74 82 94 100 97 84 75 80 93 108 121 118 89 69 69 65 67 60 57 54 48 39 31 29 30 41 27 15 9 6 5 5 5 5 5 6 9 9 8 8 9 10 9 10 11 11 11 13 18 23 43 46 29 16 14 12 11 10 10 7 6 3 1 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 13 20 23 26 29 33 35 34 31 26 21 20 19 19 19 21 21 21 21 23 25 27 28 24 19 20 21 22 21 21 23 38 61 68 78 93 97 103
403 393 354 308 230 152 97 66 53 50 56 69 69 76 77 74 71 71 79 95 103 84 66 68 68 67 65 62 60 57 52 42 28 24 34 39 33 21 13 8 7 6 5 4 5 7 7 7 8 9 9 8 7 7 9 9 12 18 23 40 58 40 15 13 12 11 11 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 7 9 10 13 18 20 23 27 31 34 32 28 23 20 19 20 20 17 15 17 19 20 21 22 24 29 23 24 23 24 26 25 23 22 29 53 68 77 98 97 105
311 260 225 198 139 90 65 48 40 40 46 57 61 71 77 76 76 74 71 80 86 82 76 73 72 69 65 66 69 71 70 63 48 38 34 33 36 37 29 21 16 11 9 7 6 6 6 6 7 9 9 9 8 7 8 11 16 21 31 41 70 64 22 14 11 11 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 3 5 7 8 12 16 16 18 23 28 31 30 26 21 19 18 18 19 16 13 13 15 16 17 17 17 21 21 28 25 21 32 43 30 22 23 35 56 66 92 102 106
144 118 99 87 71 54 42 35 32 35 45 57 69 82 88 81 81 84 81 88 89 86 85 87 89 87 82 82 87 88 87 91 78 69 61 58 67 73 65 47 28 26 24 19 12 9 7 6 6 5 6 9 9 9 10 16 25 23 32 49 61 46 15 10 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 1 2 5 7 7 10 13 14 14 18 22 26 26 24 20 19 19 18 19 17 14 13 14 14 14 14 16 16 28 50 42 28 39 50 41 39 23 27 36 49 73 98 114
74 65 56 54 52 47 43 41 42 44 51 63 75 92 102 98 97 105 110 113 114 116 119 119 116 115 109 104 104 102 99 103 104 102 88 83 85 82 84 81 54 45 47 42 35 19 11 8 6 5 5 7 10 16 13 20 33 29 35 57 65 41 10 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 1 1 0 1 0 0 2 4 7 8 8 11 12 15 18 20 21 22 21 19 22 22 20 19 20 19 16 19 19 19 27 32 31 23 34 53 58 62 55 51 66 63 48 40 43 55 74 105
114 115 105 109 110 91 69 72 70 65 66 72 80 96 106 111 117 124 134 147 155 157 154 143 132 126 121 118 118 117 117 121 124 133 124 109 103 100 102 105 84 71 67 75 84 59 35 23 20 20 17 16 32 46 35 37 43 44 47 54 60 53 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 2 4 6 9 8 8 10 13 17 17 20 28 25 31 39 38 33 32 37 43 37 41 36 37 42 48 56 54 51 67 80 86 83 74 72 69 66 62 59 59 54 91
231 252 239 248 253 205 129 110 98 88 85 85 89 98 108 119 135 156 176 186 185 176 164 153 144 137 132 131 134 136 138 142 149 158 166 168 157 147 150 153 107 90 94 111 122 104 75 53 40 35 27 29 51 78 76 70 63 57 54 52 45 66 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 13 11 12 10 6 4 6 11 11 11 10 10 15 24 31 38 45 45 55 63 60 54 52 49 56 56 55 55 56 54 53 56 61 61 64 70 83 90 89 84 76 70 66 67 69 61 73
252 310 339 359 363 310 205 179 131 104 98 99 102 108 118 133 152 175 201 213 205 191 176 166 159 154 153 155 157 157 163 168 180 187 198 212 213 192 182 212 149 135 141 140 138 131 112 89 76 71 58 50 64 81 87 83 72 59 48 42 32 33 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 22 33 37 34 33 29 31 21 23 21 21 23 22 23 31 40 44 50 57 61 67 74 75 75 79 75 69 65 65 68 67 67 68 68 66 70 77 71 74 81 92 101 100 88 71 67 68 68 69
236 278 265 257 271 266 207 192 136 113 108 110 115 127 143 162 189 207 218 223 217 205 193 182 177 176 177 182 184 188 198 207 224 242 258 278 288 254 220 266 226 200 186 170 159 152 148 145 132 133 130 111 105 105 100 86 68 51 32 21 17 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 27 35 44 51 53 53 47 49 49 47 44 44 43 43 43 49 52 58 64 69 72 77 85 91 96 101 96 88 80 81 84 84 83 84 85 80 81 88 86 84 82 85 101 115 99 85 76 72 68 69
123 130 98 81 104 131 134 130 117 123 125 135 151 167 188 213 240 255 251 240 231 222 213 202 198 200 201 205 222 243 262 281 310 334 338 331 326 314 302 309 285 265 253 236 220 215 214 205 186 171 160 148 135 121 106 87 65 39 14 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 24 33 41 49 57 63 67 65 67 66 62 58 55 54 57 59 64 66 72 80 84 86 90 98 107 117 115 109 107 107 109 111 106 97 92 105 105 104 104 102 100 99 96 100 115 109 99 95 97 96 88
49 62 66 56 51 54 80 111 107 128 153 175 199 222 244 270 283 281 280 264 251 241 231 224 222 227 235 252 285 315 341 361 378 395 402 392 380 378 379 375 380 386 369 339 316 306 295 266 234 204 179 164 145 124 100 76 58 28 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 29 38 47 54 62 71 73 72 71 70 67 64 62 61 65 70 73 77 82 89 95 101 106 113 119 147 148 138 134 139 148 151 142 115 110 115 121 130 136 134 123 113 112 118 118 114 109 115 126 124 100
51 63 70 62 42 32 74 108 111 170 237 266 278 294 299 302 306 306 298 280 271 262 255 254 258 269 291 333 376 388 403 428 454 464 461 461 468 483 467 437 436 445 426 390 362 344 330 300 267 239 206 181 151 118 88 63 42 15 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 30 40 47 55 61 70 76 76 73 71 70 67 67 69 69 72 76 79 83 88 96 103 111 122 131 134 167 177 167 164 169 182 200 201 170 143 132 138 151 162 167 162 145 124 121 124 127 126 129 140 149 151
47 63 77 69 50 23 60 61 106 204 297 370 402 380 348 334 318 318 308 298 297 294 290 293 308 339 374 394 448 471 486 498 506 514 519 517 529 520 489 431 404 388 367 342 317 297 282 264 251 231 208 179 142 105 74 50 21 8 5 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18 31 41 53 60 65 72 78 80 77 74 73 72 72 73 75 76 80 82 85 88 94 104 115 121 132 142 148 172 196 215 223 209 215 244 276 284 253 211 191 199 210 203 195 207 167 136 127 132 134 133 140 159 166
36 60 79 71 69 38 43 32 49 77 146 284 419 448 404 347 324 322 326 324 329 339 345 352 371 407 445 468 492 518 545 568 583 585 570 560 565 490 449 388 333 295 267 245 230 212 207 197 192 180 160 137 110 79 47 27 8 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 23 40 52 63 72 80 85 90 91 87 82 81 79 79 81 84 85 88 92 93 95 100 108 119 123 133 145 158 179 212 263 310 307 294 311 359 419 423 365 313 319 328 294 257 283 251 202 181 172 158 145 138 158 165
33 50 66 70 80 64 44 24 18 17 41 109 260 455 368 336 337 346 359 374 385 388 391 402 443 453 463 488 519 554 583 601 605 599 585 572 541 483 413 345 285 234 187 150 139 120 112 118 120 113 104 90 70 47 19 11 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 15 26 46 62 78 96 105 108 109 107 105 102 99 92 93 94 97 99 100 103 106 107 108 113 117 123 132 146 166 190 222 277 326 366 390 415 447 497 522 487 453 473 474 435 400 399 386 365 340 294 245 209 180 169 165
44 51 56 62 75 85 68 47 40 35 31 43 119 274 269 292 353 398 428 443 441 428 421 425 468 476 477 492 519 553 590 616 621 599 566 539 479 413 355 299 245 194 141 87 68 53 48 53 55 51 46 42 35 24 9 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 23 33 51 74 95 115 128 135 135 130 127 127 127 122 118 116 116 116 116 118 120 121 121 124 126 128 134 149 172 199 234 279 325 382 433 477 521 567 594 587 584 590 587 566 558 558 556 553 524 464 398 352 298 241 199
69 78 83 85 82 118 103 92 88 78 57 40 58 90 92 141 196 278 365 408 405 401 416 440 438 458 473 478 506 539 559 580 585 567 533 483 419 355 302 254 208 168 128 78 45 29 22 19 16 16 18 20 22 13 9 7 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 21 30 42 61 88 115 142 162 171 170 159 150 150 150 146 145 145 144 143 143 139 144 147 145 143 143 146 153 163 181 202 242 294 337 383 404 428 467 497 529 558 592 611 606 604 617 642 668 691 688 616 558 529 497 408 290
94 94 99 96 80 96 82 74 68 62 51 33 26 29 33 25 26 64 120 162 195 247 304 352 359 397 436 446 467 496 509 524 518 503 465 393 332 288 251 214 175 140 110 75 47 30 19 12 8 6 8 8 8 10 11 12 10 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 17 25 36 48 64 97 136 175 202 213 210 197 186 185 182 176 174 176 176 180 180 177 184 186 187 186 183 183 190 194 203 219 246 307 364 382 372 360 361 371 391 393 397 437 500 562 626 689 720 746 751 711 663 651 639 560 448
78 71 64 55 42 37 30 26 21 18 18 14 7 3 2 2 5 7 6 6 22 71 146 226 258 325 382 405 414 427 445 450 430 402 363 296 251 222 196 168 139 110 82 59 39 27 18 13 11 9 7 6 6 9 10 11 9 6 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 2 7 13 20 29 41 50 73 106 147 192 226 237 237 225 225 225 223 223 230 231 221 227 230 242 253 253 249 250 248 241 238 237 244 240 248 298 372 421 421 393 386 379 364 372 422 496 573 635 719 801 824 822 804 778 738 714 707 658 598
48 40 28 21 16 14 14 14 13 9 3 2 4 10 7 3 0 0 0 0 2 18 85 164 219 267 305 338 369 395 393 334 280 226 209 194 175 157 139 119 95 71 48 32 22 16 13 12 10 7 3 2 1 4 4 4 4 3 3 3 2 4 3 3 2 2 1 1 0 0 0 0 0 0 0 1 5 12 21 30 39 47 66 103 152 197 232 242 235 229 236 243 247 254 268 281 279 290 307 321 343 363 374 371 361 355 339 334 332 316 306 326 386 451 476 494 522 542 579 603 620 683 769 791 830 863 872 865 859 853 831 798 775 739 699
39 35 29 27 29 33 37 38 38 29 5 9 4 10 11 7 4 3 2 1 5 16 99 151 175 182 193 218 269 332 302 191 162 137 117 102 94 88 77 60 45 30 18 12 10 8 7 5 4 3 1 1 1 0 0 0 2 3 2 2 3 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 2 7 18 27 36 45 62 100 156 195 220 217 208 214 233 244 244 252 271 289 302 323 339 362 398 430 455 473 478 493 490 488 479 463 445 433 453 504 531 577 620 664 711 749 782 822 894 921 946 950 938 943 978 992 975 941 912 857 806
61 63 64 69 76 77 78 75 67 55 38 44 39 41 38 29 24 23 23 23 36 41 114 134 129 124 120 115 116 117 102 81 57 27 15 20 27 24 13 8 10 6 4 3 4 3 2 2 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 4 10 18 25 35 46 74 119 149 172 180 172 175 190 212 227 230 231 240 255 279 304 319 347 385 421 453 486 504 552 585 610 620 619 625 636 601 614 630 659 704 756 821 893 935 972 1023 1078 1105 1126 1159 1174 1131 1136 1142 1106 1070 1009 956
102 103 112 123 134 127 115 104 93 85 77 81 82 81 71 70 66 62 73 88 103 96 114 119 110 93 74 56 37 30 21 18 9 4 1 2 3 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 4 11 20 25 32 46 65 91 123 140 140 138 137 147 160 172 185 193 195 200 221 244 269 291 319 355 391 415 448 479 539 600 651 688 712 731 757 749 745 751 770 800 841 901 976 1046 1083 1126 1189 1203 1184 1160 1145 1225 1247 1233 1202 1170 1133 1095
137 142 151 158 164 154 137 123 113 106 103 107 104 111 108 106 107 110 122 135 135 121 106 87 64 43 28 16 8 5 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 4 15 35 38 49 75 97 116 134 130 111 101 103 114 128 139 146 150 154 162 176 194 218 248 285 331 382 416 429 463 524 584 635 685 729 766 798 819 834 851 873 897 921 958 1007 1069 1143 1182 1216 1243 1264 1298 1370 1371 1247 1156 1140 1197 1265 1272
156 168 179 183 179 167 153 141 134 130 126 132 130 135 138 140 144 147 149 143 127 99 72 41 20 13 7 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 2 11 38 54 76 106 121 129 128 116 100 77 68 74 90 110 126 128 130 135 141 152 172 202 243 285 343 391 427 462 510 566 612 663 721 775 819 855 889 923 957 986 1004 1022 1066 1120 1180 1218 1272 1349 1389 1392 1430 1290 1111 1051 1129 1247 1300 1272
168 182 194 196 186 174 166 162 161 161 156 166 167 164 164 162 158 150 141 121 88 49 25 10 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 22 50 90 126 122 125 119 115 105 86 68 58 61 83 106 117 122 125 129 136 150 180 224 257 306 361 406 439 491 563 621 681 746 809 862 905 941 979 1018 1054 1088 1117 1136 1167 1215 1281 1355 1417 1415 1355 1234 1113 1078 1117 1151 1161 1199 1215
185 194 199 195 187 180 179 181 187 191 195 196 180 153 134 133 133 117 103 74 32 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 12 31 69 126 108 108 108 106 102 97 90 85 73 78 88 101 117 127 131 137 150 189 236 277 314 358 406 462 537 600 665 734 803 874 933 974 1008 1052 1099 1143 1191 1221 1219 1240 1304 1362 1410 1518 1485 1390 1293 1270 1283 1267 1185 1139 1171 1189
200 203 201 196 190 189 193 199 208 213 210 190 157 124 106 100 89 59 41 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 5 8 15 31 84 88 92 96 100 99 96 96 100 93 90 91 95 109 125 136 149 176 214 248 284 325 378 447 520 597 655 720 792 864 938 1002 1050 1091 1135 1186 1235 1282 1313 1349 1407 1452 1421 1496 1636 1610 1564 1569 1568 1520 1421 1306 1244 1173 1095
208 207 203 198 196 198 205 212 217 206 176 140 110 95 82 60 37 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 4 5 7 9 14 39 60 79 89 91 93 93 92 94 96 99 104 107 110 122 141 167 198 225 255 297 354 419 481 540 610 672 740 816 891 960 1019 1082 1129 1181 1231 1271 1308 1353 1410 1447 1480 1498 1569 1562 1557 1634 1696 1621 1535 1406 1268 1156 1118 1123
207 203 200 198 198 204 207 206 195 166 124 89 69 62 54 32 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 4 4 4 7 13 26 43 57 68 76 82 83 84 87 93 102 110 117 125 133 148 173 198 221 253 303 363 411 433 466 537 599 672 756 836 900 959 1049 1110 1172 1232 1307 1385 1430 1430 1395 1486 1594 1577 1544 1597 1630 1498 1378 1299 1209 1179 1239 1314 1310
196 197 196 194 196 199 195 180 151 113 84 65 52 41 29 19 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 2 3 7 13 21 31 38 43 53 60 65 69 72 78 91 106 119 128 134 143 162 177 189 206 224 235 252 270 296 349 413 495 596 701 784 826 914 999 1065 1113 1172 1280 1407 1430 1388 1452 1520 1462 1362 1313 1234 1141 1058 968 965 1059 1160 1194 1169
194 194 190 183 179 172 157 141 110 84 73 57 38 24 14 8 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 1 1 1 4 8 10 14 19 24 27 34 40 47 54 59 66 75 85 90 93 111 116 125 131 134 136 135 134 130 139 159 186 231 295 374 456 526 590 652 722 803 859 885 1031 1245 1254 1189 1188 1217 1184 1089 1023 955 871 783 690 711 783 800 759 757
192 182 167 149 129 109 94 77 59 49 45 35 21 9 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 1 2 5 5 5 6 7 11 16 21 33 44 52 58 61 59 60 65 74 81 85 84 79 74 68 68 77 92 108 124 144 172 218 258 294 332 351 388 469 556 615 740 821 879 907 893 881 878 834 757 651 601 551 508 493 500 514 582 626
161 142 115 84 55 30 20 14 12 14 15 11 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 5 10 20 29 35 36 32 27 31 39 48 54 51 43 35 30 29 32 41 61 83 99 109 125 153 174 180 181 179 193 246 338 453 574 711 721 663 623 590 582 591 548 437 381 382 393 399 385 389 475 573
90 71 50 27 12 3 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 12 5 4 10 18 25 26 22 15 11 8 10 15 28 47 68 81 86 100 117 130 133 132 132 136 153 219 304 359 337 301 309 310 295 299 342 337 301 285 295 319 342 348 373 411 406
23 13 8 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 1 2 0 0 2 5 6 5 5 2 2 1 2 4 13 29 45 52 52 55 62 67 69 77 83 82 85 121 152 157 142 138 140 144 149 157 176 178 172 181 206 220 229 267 328 432 497
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 1 0 0 0 0 0 0 0 2 7 16 21 18 16 14 12 12 14 21 25 27 45 52 47 40 44 50 66 77 87 94 102 112 130 151 154 159 178 211 278 366
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 1 1 0 2 3 2 4 11 16 16 14 14 18 25 33 40 47 55 63 84 98 100 97 97 105 121 152
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 8 10 13 16 20 26 30 30 37 41 40 36 31 26 30 46
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 7 7 10 10 8 5 5 5 4 3 3 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 3 5