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 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 10 11 10 9 7 6 7 9 10 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 3 -1 -5 -7 -7 -3 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 6 7 8 9 10 10 9 7 6 5 9 13 13 10 7 6 6 6 6 6 6 6 7 6 5 5 5 4 0 -4 -8 -8 -3 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 9 10 11 10 9 6 3 5 11 15 13 9 6 6 6 6 6 6 6 7 6 5 5 5 3 -0 -5 -8 -7 -2 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 6 nan
nan 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 9 11 11 10 8 4 1 4 11 12 10 7 6 6 6 6 6 6 6 6 6 5 4 3 -2 -7 -10 -6 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 8 10 11 12 12 8 2 0 4 8 8 7 6 6 6 6 6 6 6 6 6 6 5 2 -4 -10 -10 -3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 8 9 10 12 15 14 8 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 4 1 -6 -11 -8 -0 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 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 11 14 16 13 8 6 6 6 6 6 5 6 6 6 6 6 6 6 5 3 -2 -10 -11 -5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 9 12 16 16 12 7 6 6 6 6 5 6 6 6 7 6 6 6 5 1 -7 -13 -10 -2 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 10 14 17 15 9 7 7 6 6 6 6 6 6 7 7 7 6 5 -0 -9 -14 -9 -1 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 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 nan
nan 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 12 16 17 12 7 6 6 6 6 6 6 6 6 7 7 7 5 1 -8 -14 -9 -1 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 nan
nan 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 9 13 15 12 8 6 6 6 6 6 6 6 6 6 7 7 5 1 -6 -11 -8 -1 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 nan
nan 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 8 11 12 10 8 7 6 6 6 6 6 6 5 6 7 6 2 -4 -9 -8 -4 1 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 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 nan
nan 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 8 11 12 9 7 6 7 7 7 7 7 6 5 5 6 6 1 -7 -11 -8 -1 3 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 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 nan
nan 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 5 5 5 5 5 7 10 11 8 7 7 7 7 7 7 7 6 6 5 6 5 -1 -8 -11 -6 1 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 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 nan
nan 3 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 5 5 4 4 4 3 3 4 4 5 5 5 6 6 6 7 7 7 7 6 6 5 4 3 3 5 7 8 7 6 7 7 7 7 7 7 6 6 5 5 3 -4 -9 -9 -3 2 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 nan
nan 1 3 6 8 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 2 3 3 4 4 4 5 5 4 4 3 3 3 3 4 4 5 5 6 6 7 7 7 7 7 6 6 5 3 1 0 2 5 6 6 6 7 7 8 7 7 7 7 6 5 4 -1 -7 -9 -5 -0 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 nan
nan 1 3 7 9 8 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 5 5 5 4 4 3 2 2 2 3 3 4 5 6 6 7 7 7 7 7 6 6 6 4 2 2 3 4 5 6 7 7 8 8 7 7 7 7 6 6 2 -4 -9 -7 -2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 nan
nan 4 5 7 8 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 3 3 4 4 5 5 5 5 4 3 2 2 2 2 3 3 4 5 6 7 7 7 7 6 6 6 6 6 5 6 7 6 6 6 7 7 8 8 7 7 7 7 6 5 0 -6 -9 -5 -0 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 nan
nan 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 4 5 5 6 6 6 5 4 2 2 1 1 2 3 4 5 6 6 7 7 6 6 6 6 7 6 7 7 8 7 7 7 8 8 7 7 7 7 7 7 6 4 -2 -7 -7 -3 1 2 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 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 nan
nan 9 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 3 3 4 4 5 6 6 7 7 6 4 3 2 2 2 2 2 3 4 5 6 7 7 6 6 5 5 6 7 6 6 6 6 7 8 9 8 7 7 7 8 7 7 5 1 -4 -7 -5 -1 1 2 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 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 nan
nan 12 10 8 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 7 7 7 7 6 4 3 2 2 2 2 3 4 5 6 6 7 7 6 5 5 6 6 6 5 6 6 6 8 9 9 7 6 7 8 7 7 5 0 -5 -6 -2 0 1 2 3 3 4 4 4 4 5 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 13 12 9 6 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 7 7 8 7 7 6 4 3 2 1 1 2 3 5 5 6 6 7 6 6 5 6 6 6 5 6 6 7 7 9 8 7 6 7 7 7 7 5 -0 -5 -4 -1 0 1 2 3 3 4 4 4 4 5 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 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 nan
nan 11 12 10 6 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 6 7 8 8 8 7 7 6 6 4 2 1 1 2 4 5 5 5 5 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 7 7 7 6 4 -1 -4 -3 -1 1 1 2 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 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 nan
nan 9 11 9 6 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 6 7 7 8 8 7 7 7 7 8 7 5 3 2 1 2 3 3 3 4 6 7 7 7 7 7 7 6 7 8 7 6 6 6 6 6 6 7 6 3 -2 -4 -2 0 1 2 2 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 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 7 nan
nan 11 12 9 6 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 6 6 7 7 8 8 7 7 7 7 8 8 7 6 4 2 2 3 4 5 6 6 7 7 7 7 8 7 6 6 7 7 6 6 6 6 6 6 6 6 3 -2 -2 -0 1 2 2 3 3 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 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 16 16 13 9 7 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 5 4 4 4 5 5 5 5 5 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 6 6 6 7 7 7 6 6 7 6 6 7 6 6 5 6 6 2 -1 -1 0 1 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 16 18 17 14 10 8 7 8 9 9 8 7 6 4 3 5 7 9 10 10 8 7 6 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 7 7 6 6 6 6 6 6 6 5 7 6 2 -0 -0 1 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 12 14 16 16 13 10 8 10 12 12 12 12 10 5 2 4 7 9 11 13 12 9 8 9 10 10 10 10 9 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 2 0 0 1 2 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 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 5 5 5 5 5 6 nan
nan 8 9 11 12 11 9 8 9 10 11 12 14 12 7 4 5 7 8 10 13 14 11 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 6 7 7 5 2 0 1 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 5 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 5 5 5 5 5 nan
nan 6 7 7 8 8 7 7 8 8 8 11 13 12 8 6 6 7 8 9 11 11 10 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 6 4 1 0 2 3 3 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 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 5 5 5 5 nan
nan 6 7 7 7 7 7 7 7 7 7 9 11 11 8 7 7 7 8 8 9 9 7 7 8 9 9 8 8 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 6 3 1 1 3 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 5 5 5 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 5 5 6 nan
nan 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 7 6 7 8 8 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 6 4 2 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 5 5 5 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 5 6 nan
nan 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 7 7 7 7 6 6 5 4 4 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 5 5 5 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 5 6 nan
nan 7 8 8 8 7 7 7 8 7 7 7 8 8 8 8 8 9 8 7 7 8 8 7 7 7 8 8 8 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 6 4 4 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 5 5 5 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 5 5 nan
nan 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 8 8 7 7 7 8 8 8 9 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 4 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 5 5 5 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 5 5 nan
nan 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 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 5 5 5 5 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 5 5 nan
nan 7 7 7 6 6 7 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 6 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 6 6 5 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 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 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 nan
nan 7 7 7 7 7 7 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 7 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 7 7 7 6 7 8 9 9 9 8 7 7 6 6 6 6 6 7 8 8 8 7 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 8 7 7 8 8 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 9 9 8 7 6 6 5 5 6 6 7 7 7 7 8 8 8 7 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 7 7 7 6 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 7 7 6 6 6 6 6 7 7 6 7 9 11 11 10 8 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 6 6 7 8 8 8 7 7 7 6 6 6 6 6 6 6 7 10 12 13 13 12 10 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 9 8 8 7 6 7 7 7 7 7 7 8 8 7 7 6 6 7 8 8 7 7 8 9 9 8 8 8 8 8 8 7 6 6 6 7 8 9 8 8 7 7 7 7 7 6 6 6 7 7 8 10 11 14 15 14 11 9 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 9 8 7 7 6 6 6 8 9 9 8 8 7 7 7 7 7 6 6 7 7 7 7 9 11 14 15 16 16 14 12 10 9 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 6 6 7 7 8 8 8 8 7 7 7 8 8 7 6 6 7 8 8 8 7 7 7 7 7 8 8 7 7 8 8 8 7 6 7 8 8 8 8 8 7 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 8 11 14 17 19 19 17 14 10 8 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 6 5 6 6 7 7 8 8 7 7 6 7 7 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 6 7 8 8 9 9 9 8 7 6 6 8 8 8 7 7 7 7 7 6 7 7 7 6 7 8 8 9 10 12 15 17 17 15 13 10 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 7 7 7 8 9 9 10 9 8 6 6 7 8 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 10 11 12 14 16 15 12 9 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 6 6 6 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 9 13 17 18 17 14 10 8 8 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 11 14 17 20 20 17 13 10 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 8 8 9 8 7 7 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 8 8 9 10 13 17 20 21 19 14 10 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 8 8 8 8 8 7 6 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 8 7 8 9 11 16 20 21 18 13 9 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 8 7 7 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 11 14 18 18 15 11 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 8 8 8 8 8 8 8 7 6 7 7 7 8 8 7 7 8 8 8 8 8 7 6 7 7 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 8 9 13 17 17 13 9 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 10 16 19 17 13 10 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 8 8 7 8 8 8 8 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 7 6 6 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 9 14 19 22 20 16 11 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 7 7 7 8 10 16 21 23 22 19 17 15 15 14 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 9 9 8 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 11 15 20 23 25 26 27 25 23 19 14 11 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 nan
nan 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 8 8 9 9 10 9 8 7 7 6 6 6 7 7 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 7 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 7 8 9 9 8 9 10 13 18 21 23 25 26 25 22 17 12 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 5 6 6 nan
nan 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 9 11 13 14 14 15 18 19 19 16 12 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 nan
nan 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 7 8 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 8 8 8 8 8 9 9 9 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 11 16 21 22 19 14 10 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 8 7 6 5 5 7 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 14 20 24 24 21 17 12 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 nan
nan 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 7 7 8 8 8 6 5 5 6 7 8 9 9 10 9 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 11 14 19 23 25 24 20 15 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 nan
nan 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 6 6 7 7 7 8 8 8 7 6 5 5 6 6 7 9 9 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 12 17 23 26 26 22 18 14 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 8 7 6 7 7 8 8 7 7 7 7 6 6 6 6 7 8 8 7 7 6 6 6 7 6 6 7 7 7 7 8 8 9 9 8 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 8 8 9 11 14 19 24 25 24 23 21 21 21 19 16 12 10 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 nan
nan 6 7 7 7 8 8 8 7 6 6 7 7 8 8 9 9 8 8 7 7 8 8 9 9 8 6 6 6 7 7 8 7 7 7 7 7 6 6 7 7 8 8 7 6 6 7 7 8 7 8 8 8 8 8 9 9 9 9 9 9 9 8 7 5 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 9 9 9 8 8 7 8 9 9 9 8 8 8 8 9 9 9 12 16 21 25 27 27 27 27 25 20 13 10 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 nan
nan 6 6 7 7 8 9 9 8 6 6 6 7 8 9 9 9 8 7 7 7 8 8 8 7 7 6 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 9 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 10 13 17 21 22 21 20 17 13 10 8 7 7 8 8 8 8 8 8 7 6 6 6 6 5 5 nan
nan 5 5 6 7 8 9 9 9 7 6 5 6 8 8 9 8 8 7 7 8 8 8 7 7 6 6 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 6 7 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 11 12 12 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 9 10 12 13 13 10 5 3 4 5 6 7 7 8 8 8 7 7 7 6 6 5 5 5 5 nan
nan 5 5 6 7 8 9 10 10 9 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 7 7 7 8 8 8 8 9 9 8 6 6 7 8 9 9 8 7 7 7 8 8 9 9 9 9 10 10 11 12 13 12 11 10 9 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 9 6 3 1 3 5 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 6 5 5 6 7 8 10 11 10 7 5 5 6 7 7 8 9 9 8 8 7 7 8 8 7 7 6 5 5 6 6 8 7 7 7 7 7 7 8 9 8 7 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 9 10 11 12 13 13 13 13 13 11 9 8 7 7 7 8 8 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 5 6 8 11 11 10 8 8 8 8 7 7 7 6 6 6 6 6 6 nan
nan 6 5 4 5 6 8 10 11 11 8 6 4 5 6 7 9 10 10 9 8 8 8 8 8 7 7 6 6 5 5 6 7 7 7 7 6 6 7 8 8 8 7 6 5 6 6 7 7 7 8 8 9 9 8 8 8 8 8 9 11 12 13 14 14 15 15 14 12 10 8 7 7 8 8 9 9 8 7 7 8 8 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 8 8 8 9 12 16 19 21 20 16 12 10 9 8 8 7 7 7 7 7 7 7 7 nan
nan 6 5 5 5 6 8 9 10 11 9 6 4 4 6 7 9 10 10 10 9 8 8 8 8 8 7 7 7 6 6 6 5 5 6 6 7 6 7 8 8 9 8 7 5 5 5 5 5 6 7 8 9 9 9 8 8 8 7 8 8 10 11 13 14 15 16 15 13 11 10 8 7 7 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 13 17 22 26 28 27 27 24 20 15 11 9 8 8 8 7 7 7 7 7 7 nan
nan 6 5 5 7 7 7 8 9 10 9 7 5 5 6 7 8 9 10 11 10 9 8 8 8 8 7 8 8 7 7 6 4 4 4 6 7 7 7 8 8 9 10 8 6 5 4 4 3 4 6 7 8 8 8 8 8 8 7 8 7 7 8 9 11 14 15 15 14 13 11 10 8 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 10 14 19 22 22 22 23 25 27 25 20 14 9 8 8 8 8 8 8 7 7 7 nan
nan 7 6 6 7 7 7 7 8 8 7 6 6 6 6 7 8 9 10 11 11 10 8 8 8 7 7 7 7 7 8 7 5 3 3 5 7 7 7 7 7 8 10 10 7 6 5 4 3 3 3 5 7 7 7 8 8 9 9 10 10 9 8 6 8 12 13 14 13 13 12 12 10 8 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 8 8 8 8 8 7 7 7 8 8 8 7 8 10 13 14 13 12 13 17 21 22 21 15 11 9 8 8 8 8 8 7 7 6 nan
nan 7 6 6 7 7 7 7 7 7 6 5 6 6 6 7 7 8 10 12 12 11 9 8 7 7 7 7 6 6 8 9 7 5 3 4 7 7 7 6 6 7 9 10 8 7 6 5 3 1 1 3 4 5 6 8 9 11 13 13 13 12 10 7 8 9 11 13 13 13 13 12 11 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 9 10 9 7 6 6 8 12 15 13 11 9 8 8 7 7 7 6 6 5 nan
nan 7 7 6 7 7 7 7 7 6 4 4 5 6 6 6 7 8 10 11 12 11 10 9 7 6 6 6 5 6 8 9 9 6 5 5 6 7 7 6 6 6 8 9 9 8 8 7 5 2 0 0 1 3 5 7 9 12 14 15 14 13 10 8 7 8 9 11 12 12 12 12 12 11 10 10 9 9 8 7 7 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 8 7 3 -2 -6 -6 -3 1 5 7 7 7 7 7 6 6 6 5 5 nan
nan 7 7 6 7 7 7 7 7 6 4 4 4 5 7 7 7 8 9 9 10 10 11 10 8 6 6 6 6 6 7 8 8 7 7 6 5 6 7 6 6 6 7 8 8 8 9 9 8 5 2 0 0 1 2 4 8 11 13 13 13 11 9 8 7 6 7 9 10 11 11 12 12 12 11 11 10 9 8 8 8 8 8 7 6 5 5 4 5 5 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 6 3 -3 -8 -11 -9 -5 0 4 6 7 6 6 6 6 5 5 5 nan
nan 8 7 7 7 7 7 7 7 6 5 5 4 5 7 8 9 9 9 8 7 8 11 11 9 7 6 7 7 7 7 7 7 8 8 6 3 4 6 7 6 6 6 7 7 8 9 10 9 7 5 3 2 1 0 2 5 8 10 11 11 10 9 8 7 6 6 7 8 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 10 6 2 0 2 3 5 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 6 5 4 4 6 9 10 10 9 6 5 7 10 11 10 9 8 8 8 8 6 6 6 8 10 7 3 3 4 6 6 7 7 7 7 7 8 9 10 9 8 6 4 3 2 2 3 5 7 8 9 10 10 9 8 7 6 6 6 6 7 9 10 11 12 12 12 11 10 10 9 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 11 15 18 21 22 18 14 10 7 7 6 6 6 7 7 7 7 6 6 nan
nan 8 7 6 6 7 7 7 7 7 6 5 4 4 6 9 11 11 10 7 6 7 9 10 10 10 9 8 8 8 6 5 6 8 10 8 5 3 3 5 6 7 7 7 6 7 7 9 10 10 10 9 7 5 4 3 3 3 4 5 7 8 9 9 9 8 7 6 5 4 4 5 7 8 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 8 8 8 9 9 10 12 16 21 24 23 18 13 9 7 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
11 12 13 14 14 14 15 15 15 18 20 20 18 16 15 15 16 19 22 23 23 24 24 25 23 20 17 14 12 11 12 15 18 19 16 13 14 17 19 19 16 15 13 11 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 3 9 21 37 49 53 53 57 60 65 68 67 68 67 65 63 61 59 57 56 58 57 57 57 59 61 60 58 57 57 56 56 58 58 61 67 72 77 80 81 80 81 80 83 86 87 89 90 92 95 97 98 98 97 85
8 9 11 13 13 14 14 14 14 15 17 17 17 16 16 16 18 21 24 23 22 20 21 22 21 18 14 12 11 12 14 16 18 18 15 13 15 16 15 13 11 11 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 24 38 46 50 52 58 55 58 61 61 61 61 60 59 57 56 54 52 53 53 54 55 56 57 57 55 54 53 53 54 55 54 55 60 68 73 76 78 78 77 74 75 79 81 81 82 83 84 86 87 89 84 75
9 8 9 11 12 13 13 14 14 14 15 15 16 17 20 22 21 24 25 24 21 20 20 19 18 16 12 11 12 14 15 17 17 16 13 12 15 16 12 10 10 10 8 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 23 36 44 50 45 58 54 56 57 57 56 55 55 55 55 57 55 54 54 54 53 54 54 55 55 54 53 51 53 54 56 57 57 60 68 74 78 76 76 76 75 76 77 78 78 79 79 80 80 81 81 78 73
9 9 9 10 10 10 11 12 14 14 14 14 15 18 23 25 27 27 25 23 21 19 18 17 14 13 11 12 13 15 16 16 16 14 11 12 14 12 9 9 9 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 32 39 47 39 48 55 58 60 61 61 59 58 63 64 60 59 60 59 60 60 60 59 57 57 55 59 57 60 65 66 64 63 66 71 73 80 81 81 81 81 80 80 79 78 78 80 82 81 80 81 81 78
9 9 9 9 9 9 9 11 13 14 14 14 16 19 22 24 26 26 24 21 19 17 15 14 12 11 13 13 14 16 16 14 13 12 12 12 13 10 9 10 9 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 29 32 42 42 40 45 52 57 60 62 62 62 61 58 57 56 57 57 58 60 62 61 60 60 57 60 59 59 58 58 60 62 65 67 64 68 73 82 87 89 88 88 89 90 89 86 88 87 86 86 85 82
9 9 9 9 9 9 9 9 11 12 14 15 17 18 20 22 22 22 21 19 17 14 12 11 11 12 14 14 14 14 13 11 9 11 13 13 11 8 9 9 7 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 19 24 27 35 41 38 37 42 47 50 51 51 50 49 48 47 48 48 49 51 52 54 56 56 57 55 55 54 52 52 54 55 56 58 57 57 59 61 66 76 85 90 94 96 95 96 96 97 97 96 92 87 84
8 9 9 9 9 9 9 9 9 10 12 14 16 17 18 19 21 21 19 16 13 12 12 12 12 13 13 12 11 10 9 8 8 9 11 10 9 8 7 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 14 20 26 29 38 40 36 37 39 41 42 42 41 41 40 40 41 41 42 43 44 46 50 50 50 50 49 48 47 45 44 47 51 53 54 55 56 58 61 68 76 85 93 96 97 98 99 100 101 101 97 90 88
7 8 8 8 8 9 9 9 8 8 9 12 14 16 17 18 19 18 16 13 12 11 13 14 12 12 11 9 8 7 8 8 9 8 8 8 6 6 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 16 23 25 31 40 39 37 35 37 37 37 37 37 37 37 37 37 37 38 39 41 42 43 44 44 44 43 43 41 41 44 47 53 56 57 57 58 61 64 69 80 89 94 97 99 98 98 98 99 98 96 93
7 7 7 6 7 7 8 8 8 8 8 9 13 14 16 17 17 15 13 12 12 14 15 14 11 10 9 8 7 6 6 7 7 6 5 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 10 13 19 25 29 35 40 39 33 34 34 34 35 35 36 36 36 36 35 36 37 38 39 39 40 41 42 42 42 42 41 42 47 53 56 56 55 56 60 63 63 73 82 90 95 97 96 95 94 94 95 95 97
6 6 6 6 6 7 9 9 10 9 8 8 10 12 15 16 16 14 12 13 14 15 12 11 10 10 9 7 6 4 3 3 4 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 12 17 23 27 30 37 39 35 33 32 32 33 33 33 34 35 35 34 35 36 37 38 39 39 40 41 41 42 42 41 42 45 50 52 53 53 53 54 58 60 66 76 86 93 95 93 91 89 88 89 90 94
7 7 7 7 6 8 9 10 11 10 10 11 11 12 13 14 12 12 13 14 15 13 9 9 9 9 7 5 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 15 20 27 26 31 36 36 34 32 31 31 31 32 33 33 33 33 33 34 36 37 38 39 39 39 40 41 41 41 41 43 46 49 50 50 50 51 53 55 60 69 81 90 92 91 88 86 84 85 87 90
6 6 7 7 7 7 8 9 10 10 11 12 13 13 14 14 14 15 16 15 13 10 9 9 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 24 24 27 31 34 35 33 31 30 31 31 32 32 32 32 32 33 34 35 37 37 39 38 40 41 42 42 41 42 44 46 48 49 49 48 48 50 54 62 75 85 90 89 89 86 84 84 87 90
6 6 6 6 6 6 7 7 8 8 10 11 11 13 14 15 15 15 15 12 10 9 10 9 8 7 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 0 0 0 0 0 0 0 0 0 0 2 6 11 14 21 24 26 27 30 34 34 32 31 29 30 30 31 31 31 31 31 32 33 35 36 37 38 39 41 43 45 45 46 46 47 48 49 50 49 48 47 50 58 69 79 88 91 91 89 87 88 90 92
7 6 5 5 6 6 6 6 6 7 9 9 11 13 14 14 14 14 12 10 10 11 9 8 8 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 13 17 22 26 27 27 30 33 33 32 30 29 29 30 30 30 30 30 31 33 34 35 37 38 41 44 48 50 50 51 50 51 52 53 55 54 51 49 51 56 64 74 84 90 91 91 92 92 94 93
7 5 4 4 5 5 6 6 6 7 8 8 11 13 13 12 11 11 11 12 12 11 9 9 7 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 15 18 23 26 26 26 28 32 33 32 31 31 30 30 30 30 30 31 33 33 34 36 40 43 46 48 51 53 54 55 56 57 57 57 56 54 54 55 56 62 71 79 85 90 93 95 94 94 92
5 5 4 3 3 4 5 6 6 7 7 7 9 10 10 10 11 12 11 13 11 10 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 10 13 16 19 24 26 24 24 29 32 33 33 33 33 33 32 31 31 32 33 33 34 36 40 43 45 47 50 53 55 57 59 61 61 60 59 57 58 57 58 61 65 72 80 86 91 95 93 90 89
4 4 3 2 2 4 5 6 6 6 6 6 7 8 9 10 11 13 13 12 10 10 9 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 14 17 20 25 25 24 26 28 30 32 32 33 33 35 34 33 32 33 33 34 35 39 43 45 47 49 52 55 56 60 63 66 64 61 60 60 60 60 60 62 67 77 84 87 89 88 87 88
3 2 1 0 0 2 5 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 13 15 16 21 25 25 25 26 28 28 27 29 30 32 34 35 35 34 34 34 35 37 41 44 46 47 50 52 55 58 61 64 67 62 60 61 61 61 60 60 65 73 78 81 83 84 86 89
1 1 0 0 0 1 4 6 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 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 1 2 4 8 12 14 14 17 21 24 26 28 29 28 26 25 26 28 31 33 35 35 35 35 34 35 37 41 43 46 48 51 53 55 56 59 62 62 60 60 61 61 60 59 62 66 69 73 78 81 85 89
0 0 0 0 0 2 3 5 7 8 8 7 7 7 8 9 9 9 8 7 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 10 12 14 15 17 19 22 25 28 30 27 25 25 25 27 30 31 33 35 36 34 34 34 37 40 43 47 49 50 50 52 54 57 59 60 59 58 58 59 57 54 57 61 66 72 76 81 85
0 0 0 0 1 2 3 4 5 6 6 6 6 6 5 6 7 7 8 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 12 14 15 15 16 19 22 25 26 26 27 28 29 29 29 31 33 34 34 33 33 34 37 41 44 48 49 49 51 52 52 54 58 57 56 57 57 56 55 55 58 62 65 69 75 79
0 0 1 1 2 3 4 4 5 5 6 6 5 5 5 5 5 5 5 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 14 14 14 14 15 17 20 22 24 27 28 28 28 29 29 30 33 34 33 33 32 34 38 42 46 48 50 51 52 52 52 55 57 57 58 58 57 56 56 57 59 59 62 66 70
0 0 1 2 2 3 4 4 5 5 5 5 5 4 5 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 13 14 14 14 15 16 18 21 23 24 25 27 29 26 28 30 32 33 33 33 32 35 38 43 47 50 51 52 53 53 55 57 57 58 58 58 58 57 56 57 56 58 59 62
0 0 0 1 2 3 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 13 14 14 13 14 16 18 20 23 25 26 25 24 25 27 30 32 33 32 32 33 36 40 45 48 50 51 52 54 55 56 56 57 57 57 57 56 57 56 56 56 56 57
0 0 0 1 1 2 3 3 3 3 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 11 12 12 12 13 13 15 17 19 21 24 26 25 23 23 26 28 30 32 33 32 32 33 37 42 45 47 50 53 55 55 55 56 55 54 54 55 56 57 56 55 55 55 55
0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 6 8 10 11 12 12 13 14 16 17 20 23 25 25 24 23 25 27 29 31 33 32 32 33 35 38 42 45 49 52 54 55 56 56 55 55 55 55 56 57 57 57 56 55 55
0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 6 8 11 11 12 12 13 15 17 19 21 24 25 24 24 26 28 29 31 31 32 32 32 34 36 38 41 44 48 51 54 55 55 55 56 54 55 56 58 60 59 58 56 56
0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 8 9 11 11 12 14 16 18 20 23 25 26 27 27 28 29 31 31 32 32 32 33 34 36 37 40 42 45 46 48 50 53 55 56 54 54 57 59 59 59 59 57
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 11 11 12 14 17 20 22 25 27 28 28 29 30 31 31 32 33 33 33 33 34 35 37 39 39 39 42 45 48 51 52 50 49 50 51 53 56 56 56
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 9 10 10 11 13 17 20 22 24 26 28 28 28 28 29 29 30 33 33 33 33 32 33 35 35 35 36 36 38 41 44 45 45 45 44 45 46 49 51 52
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 9 10 12 15 18 20 22 24 27 27 27 26 27 27 28 30 31 32 33 32 32 33 33 33 34 32 33 35 38 39 40 40 40 40 41 43 46 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 8 9 11 13 17 20 22 24 26 27 26 26 27 27 28 29 29 31 32 33 33 33 32 32 33 32 32 33 34 35 35 35 35 36 37 40 42 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 4 6 8 9 10 11 16 19 23 26 27 27 27 27 29 29 29 29 29 29 30 32 33 34 34 33 33 33 33 33 33 33 32 32 33 34 35 37 40 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 10 11 14 18 22 25 26 27 28 29 30 31 31 30 29 29 29 30 31 33 33 33 33 33 33 33 34 33 34 34 34 35 36 37 38 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 11 15 19 23 25 25 26 28 30 31 32 33 31 30 29 29 30 32 32 32 31 31 31 31 32 32 32 33 33 34 35 36 36 38 42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 8 10 14 19 23 26 26 26 28 30 32 33 34 32 30 29 30 30 30 30 30 30 30 29 30 30 31 32 32 33 34 35 36 37 39 40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 7 10 15 18 22 25 26 26 27 30 32 35 36 34 32 31 31 31 31 30 30 30 30 30 31 31 31 32 32 33 34 35 37 40 42 42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 13 17 21 24 25 26 27 29 32 35 37 35 34 34 33 33 32 32 32 31 31 32 33 34 34 33 33 34 34 37 40 42 43 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 11 16 18 22 24 25 27 29 32 35 36 35 35 34 34 33 32 31 31 32 33 34 35 35 35 35 34 35 36 40 43 44 45 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 1 3 4 5 6 8 15 16 19 21 23 26 28 32 38 37 36 35 33 32 33 33 33 33 33 34 35 36 36 37 37 37 38 40 42 44 45 46 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 6 12 14 16 17 21 24 27 31 35 37 37 35 34 32 33 33 34 35 35 35 36 37 37 38 37 38 40 41 43 45 47 48 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 14 14 15 17 21 24 28 32 36 37 36 35 34 33 34 35 36 37 37 37 38 39 39 38 39 40 42 44 45 47 48 49
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 12 13 17 21 26 29 33 36 36 35 34 34 34 35 37 38 38 38 39 39 40 39 39 40 42 44 45 46 47 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 11 11 14 18 22 25 28 32 34 33 32 33 34 35 36 37 38 39 39 39 39 39 38 39 41 43 44 44 45 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 1 3 6 9 9 11 16 20 23 25 27 29 30 31 32 33 35 36 37 38 38 38 38 38 38 38 39 41 42 42 43 43 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 14 18 21 23 22 25 28 30 31 32 33 34 36 36 36 36 36 37 38 39 40 41 41 42 42 43 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 18 22 21 21 23 27 29 30 30 32 34 35 35 35 34 35 36 37 38 39 40 40 41 41 41 42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 10 18 20 19 19 22 25 28 30 30 31 32 33 34 34 34 34 35 36 36 37 38 39 39 40 40 42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 11 16 17 17 18 21 25 28 30 31 31 32 32 33 33 33 34 34 34 34 35 36 37 38 38 40 40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 11 14 15 15 17 21 24 27 28 30 31 31 32 33 33 33 33 33 33 33 33 33 34 36 36 37 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 13 13 14 16 21 23 26 27 28 29 31 32 33 34 33 33 33 33 32 31 31 32 33 33 34 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 12 13 14 17 21 23 26 28 30 31 32 33 34 34 34 34 34 33 32 32 32 32 32 32 32 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 14 16 20 23 25 27 29 30 32 33 35 35 36 36 36 34 33 33 33 33 33 32 32 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 13 15 18 22 24 26 28 30 33 34 36 37 38 40 39 39 36 35 34 34 34 34 34 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 12 14 17 20 23 25 28 29 32 36 38 37 37 39 40 41 39 38 37 37 37 38 40 40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 13 16 19 22 24 27 29 32 36 39 38 37 39 41 41 41 40 40 40 42 42 44 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 14 17 21 24 26 28 31 35 40 39 39 40 41 41 40 40 40 41 43 44 46 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 15 19 22 25 29 32 34 39 40 41 40 40 40 41 41 41 42 42 44 46 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 15 19 22 26 31 32 35 38 41 42 41 41 41 42 42 43 43 44 44 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 6 11 15 18 23 27 29 31 34 39 43 44 43 42 43 44 45 45 45 45 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 1 3 4 7 11 15 18 22 25 28 32 37 43 46 44 44 45 45 46 47 47 47 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 14 16 20 25 29 34 40 44 45 46 46 47 47 47 48 47 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 12 16 21 26 30 36 41 43 44 46 48 48 48 48 47 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 12 16 22 27 32 36 39 41 44 46 47 47 48 48 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 17 23 28 32 35 39 41 43 45 46 46 47 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 17 22 26 30 35 37 39 41 42 44 45 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 15 20 25 29 32 34 36 38 40 43 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 13 19 23 27 29 31 35 38 41 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 17 21 24 28 32 37 41 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 0 0 0 0 0 0 0 0 2 5 8 14 18 22 26 31 37 41 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 0 0 0 0 0 0 0 1 2 3 7 12 17 21 25 31 37 41 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 20 25 32 37 42 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 0 0 0 0 0 0 0 0 1 3 5 7 13 17 22 29 34 39 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 11 17 24 31 34 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 18 25 30 34
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 19 25 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 18 24 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 19 24 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 12 16 20 25 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 17 21 27 34
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 17 21 26 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 18 23 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 17 21 26