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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 9 9 9 8 7 7 8 9 10 10 9 8 8 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 10 12 14 14 12 11 11 14 20 23 19 10 4 2 3 4 5 5 5 5 6 8 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 8 8 8 9 10 12 13 14 14 12 11 10 7 7 10 11 10 8 8 9 8 7 7 9 12 16 17 15 11 9 8 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 7 7 8 9 8 nan
nan 10 10 10 10 10 9 9 8 8 7 8 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 12 13 14 13 11 12 15 21 22 16 7 3 3 4 5 5 5 5 6 7 8 9 10 10 10 11 11 10 9 8 7 7 7 8 9 10 10 10 9 8 8 8 8 7 7 8 10 11 11 11 9 7 5 5 9 13 12 10 8 8 8 8 8 9 11 14 15 14 11 8 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 5 6 6 nan
nan 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 10 11 15 21 21 15 7 4 5 6 6 6 5 6 6 7 8 9 10 11 11 11 11 10 8 7 6 7 7 9 10 10 10 9 8 8 7 7 6 6 6 7 8 8 8 8 6 5 5 6 9 11 11 9 8 8 8 8 9 10 13 14 12 10 7 6 6 5 4 3 3 3 3 3 3 4 5 6 6 6 6 5 4 2 1 0 1 2 3 nan
nan 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 10 11 12 11 9 10 15 20 20 14 7 5 6 6 6 6 6 6 7 8 9 10 11 11 11 10 9 8 7 6 6 7 8 9 10 11 10 10 9 8 7 6 5 5 5 6 7 8 7 6 5 5 6 9 11 11 10 8 8 8 8 8 9 10 11 10 8 6 5 5 5 3 1 0 0 0 1 1 1 1 3 5 6 7 7 6 4 2 0 -0 -0 1 0 nan
nan 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 8 10 12 12 10 11 15 17 17 12 7 5 5 6 6 7 7 7 8 9 9 10 11 11 10 9 7 6 6 6 7 7 8 9 10 11 11 11 10 9 8 6 5 4 5 6 7 8 8 6 5 5 8 12 13 12 10 7 7 8 8 8 8 9 8 6 4 3 4 4 3 1 -1 -1 -1 -1 -1 -2 -2 -2 0 3 5 8 9 8 6 5 3 2 1 1 -0 nan
nan 10 10 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 8 6 6 9 13 14 15 16 16 15 12 9 6 4 5 6 7 7 8 9 9 9 10 10 11 10 9 7 6 5 5 6 7 8 8 9 10 10 11 12 12 11 9 7 6 5 5 6 7 8 8 7 6 8 11 13 13 11 8 7 7 9 10 10 10 8 5 3 2 3 3 3 1 -0 -1 -0 -0 -2 -3 -5 -5 -5 -4 -0 4 7 9 10 9 7 6 4 3 2 0 nan
nan 9 9 9 8 8 8 8 8 8 9 9 8 8 8 7 7 8 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 6 6 6 6 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 8 6 6 9 14 19 22 22 18 12 8 5 5 4 5 6 7 8 9 10 10 10 10 10 10 9 7 6 5 5 5 6 7 8 8 8 9 9 10 11 12 12 10 8 7 6 6 7 7 8 8 8 9 12 15 14 12 9 7 7 9 12 13 14 12 9 4 2 3 4 3 2 0 0 1 1 -0 -3 -6 -8 -9 -10 -9 -4 2 7 10 11 11 10 8 6 5 4 2 nan
nan 8 8 8 8 8 8 8 8 8 8 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 7 7 7 7 7 7 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 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 9 9 9 9 9 9 8 7 7 9 15 22 27 25 17 10 6 5 5 5 5 6 7 8 10 10 10 10 10 10 9 8 7 6 5 5 5 6 7 7 8 8 8 8 9 10 11 11 10 8 7 7 7 7 8 8 8 9 11 14 15 14 11 9 8 10 13 15 16 16 13 8 5 4 5 5 3 2 1 1 2 2 -0 -4 -7 -10 -12 -13 -12 -7 -0 6 11 13 14 13 11 8 7 6 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 8 9 13 20 24 20 13 7 5 4 5 6 6 7 8 8 9 10 9 9 9 10 10 9 7 6 5 5 5 6 7 7 7 7 7 8 8 9 10 10 9 8 7 7 8 8 9 8 8 9 11 12 12 11 9 9 11 13 16 17 15 12 9 6 5 5 5 5 4 3 4 4 3 2 -1 -3 -5 -7 -9 -11 -11 -7 -1 5 11 15 16 16 14 11 8 7 6 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 9 9 12 16 17 13 9 5 3 3 5 6 7 8 8 8 8 8 8 8 9 11 11 10 8 6 5 4 5 6 7 7 7 7 7 7 8 9 9 9 9 8 7 7 8 9 9 8 8 9 10 10 9 8 7 9 12 14 15 14 10 6 4 4 5 5 5 4 4 5 6 6 4 1 0 -0 -1 -2 -4 -5 -5 -4 -1 4 9 14 17 18 17 14 9 7 8 nan
nan 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 9 10 10 11 12 12 13 13 13 13 12 11 11 11 10 9 7 7 8 9 10 11 13 14 12 7 5 3 2 2 5 8 9 10 9 8 6 6 6 7 10 12 13 11 9 7 5 5 5 6 6 6 7 7 7 7 8 9 10 10 9 9 8 7 8 9 9 8 8 8 8 8 7 6 6 8 10 11 11 8 5 2 2 5 6 6 5 4 5 7 8 6 4 2 2 3 3 2 1 1 -0 -1 0 3 7 11 15 18 18 15 11 9 10 nan
nan 10 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 12 13 14 15 14 13 11 11 10 11 11 9 7 5 5 7 10 14 16 15 10 6 3 2 1 3 7 11 12 11 9 6 4 3 4 7 10 13 14 13 10 7 6 5 5 5 5 6 6 7 7 7 8 9 10 10 10 9 8 8 8 9 9 8 8 8 8 9 9 8 7 6 6 6 6 4 2 2 4 6 7 6 5 6 6 7 7 6 5 5 6 7 6 5 4 4 2 1 0 1 4 8 12 15 16 15 12 10 12 nan
nan 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 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 9 9 9 9 9 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 6 7 7 8 9 8 8 8 8 8 9 10 11 11 11 12 13 14 14 13 11 10 10 10 11 12 11 8 5 2 3 7 15 19 18 13 7 3 1 2 5 11 14 14 11 7 4 2 3 4 6 9 12 14 14 12 9 7 6 5 4 5 6 6 6 7 7 8 9 9 9 9 9 8 8 8 9 9 9 8 9 10 11 11 10 7 5 3 2 3 3 3 4 6 7 7 6 6 7 7 7 7 6 6 7 9 9 9 9 7 5 2 -0 -1 -0 2 5 9 12 14 14 13 13 14 nan
nan 11 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 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 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 10 10 9 9 10 12 13 12 8 3 1 4 13 21 22 17 10 4 3 4 8 13 15 13 9 5 3 2 4 5 7 9 11 13 14 13 11 8 6 5 4 5 5 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 12 13 13 12 9 5 2 2 3 4 6 7 8 8 7 7 7 8 8 7 6 5 5 8 10 10 11 11 9 5 0 -3 -4 -3 -0 3 7 10 12 14 14 14 15 nan
nan 10 11 10 10 9 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 11 12 12 12 13 13 13 13 13 13 12 12 12 12 11 9 7 8 11 14 15 12 5 1 3 12 21 23 17 10 5 5 7 10 13 13 10 6 4 3 4 6 7 7 9 10 12 14 13 12 9 6 5 4 5 6 6 7 7 8 8 8 8 8 7 8 9 10 10 10 10 11 11 11 11 11 11 10 9 7 5 4 5 7 9 10 10 9 8 8 8 9 9 8 6 4 4 7 9 11 12 12 10 4 -1 -5 -6 -4 -1 3 6 9 12 13 15 15 15 nan
nan 10 10 10 10 9 9 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 9 9 8 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 12 13 14 14 14 14 13 14 14 15 15 14 14 13 14 14 12 8 4 4 7 11 14 13 8 3 4 12 18 17 12 8 7 8 10 12 12 10 6 4 4 5 6 7 7 8 8 9 11 13 13 12 9 7 5 5 5 6 7 7 7 8 8 8 7 7 8 9 10 11 11 11 11 11 11 10 7 7 7 8 8 8 8 8 8 9 11 11 11 11 10 10 11 11 10 9 8 6 4 6 8 10 12 12 10 6 0 -4 -5 -4 -1 2 6 9 11 13 14 15 15 nan
nan 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 9 8 7 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 13 15 16 16 15 14 14 14 15 16 16 16 16 15 14 14 13 9 6 3 2 4 7 10 11 10 8 8 12 14 11 8 8 10 11 12 12 11 8 4 3 4 6 7 7 7 7 8 8 10 11 12 11 9 8 7 6 6 7 7 7 7 7 6 6 6 7 8 10 11 11 11 10 10 11 10 8 5 4 4 6 7 8 9 10 10 10 11 11 11 12 12 13 14 13 12 12 11 9 7 6 8 9 11 11 11 9 6 2 0 -1 -0 1 4 7 9 11 13 13 13 nan
nan 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 11 13 15 16 16 15 14 14 15 16 17 18 18 17 16 15 13 11 8 6 5 4 5 7 10 12 14 15 16 14 12 9 9 11 13 14 13 11 9 6 5 4 5 6 7 7 7 7 7 8 9 10 11 11 10 9 8 8 8 8 8 7 6 6 5 5 6 7 8 10 12 12 11 10 10 10 9 8 6 6 6 6 6 7 8 10 9 9 9 9 9 10 12 14 16 16 15 14 13 11 10 9 9 10 10 10 11 11 11 10 7 4 2 2 3 5 7 8 10 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 10 11 12 13 13 13 14 15 16 15 15 16 17 17 16 15 14 12 10 10 10 10 10 10 12 14 18 20 21 18 14 13 13 15 15 14 12 9 8 6 6 5 5 6 6 6 6 7 7 8 8 9 10 10 10 10 10 10 9 9 8 7 6 5 5 5 5 6 8 10 11 11 10 9 8 9 9 8 8 9 9 8 7 7 8 9 8 8 8 7 7 8 11 12 14 15 15 14 13 12 12 12 12 11 10 9 8 10 11 12 11 8 5 4 3 4 5 6 6 6 6 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 8 8 8 8 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 10 12 13 13 13 13 12 11 13 16 17 16 13 10 10 12 13 13 12 13 13 14 15 16 16 15 13 12 13 16 20 23 23 20 18 16 16 15 13 10 8 7 6 6 5 5 5 6 6 6 6 7 8 8 9 10 10 10 10 10 10 10 9 8 6 5 4 4 4 4 5 8 10 11 10 9 7 6 7 7 8 9 10 11 9 8 8 8 9 9 9 8 7 6 7 8 8 9 10 11 12 13 13 13 13 13 12 10 8 7 8 10 11 11 10 8 6 5 4 4 5 5 4 4 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 6 6 6 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 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 9 12 16 20 22 22 20 18 16 14 16 18 20 18 14 9 7 7 8 8 8 9 12 14 17 18 19 17 13 9 8 10 18 27 28 24 19 15 13 12 11 8 6 6 5 5 4 4 4 5 5 5 6 7 8 9 10 10 10 11 11 11 11 10 9 8 6 5 4 4 3 4 4 7 8 9 9 8 6 5 4 4 6 7 9 11 11 9 9 9 9 10 10 10 9 8 6 6 5 5 6 8 9 10 11 11 12 11 11 9 8 8 8 9 10 11 10 9 7 5 5 5 5 5 5 5 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 7 7 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 6 6 8 13 19 25 30 30 28 23 19 17 16 16 19 21 21 18 14 10 8 7 6 5 6 9 13 18 21 21 18 12 7 4 8 20 32 31 24 17 12 9 8 7 6 5 4 5 5 5 4 3 3 4 4 5 7 8 10 11 12 12 11 11 11 11 10 8 7 6 5 5 4 3 4 5 6 7 7 8 8 6 5 3 3 4 7 9 11 12 11 10 10 9 10 10 10 9 8 7 5 4 4 5 6 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 8 7 6 5 5 5 5 5 5 nan
nan 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 7 7 8 8 9 9 9 9 9 10 10 9 9 9 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 11 18 24 29 31 29 24 18 14 12 12 14 17 20 21 21 18 15 12 9 7 5 5 8 13 19 23 24 21 14 8 7 13 24 31 28 19 13 9 7 6 5 4 4 4 5 7 7 5 3 2 2 3 4 6 8 11 13 13 13 12 12 11 10 9 8 7 6 6 6 5 5 6 6 6 5 5 7 8 8 7 6 6 8 10 12 13 12 11 10 9 8 8 8 8 8 8 7 6 5 5 6 6 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 8 7 6 5 5 5 4 4 3 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 5 5 6 7 9 12 17 20 23 24 22 17 13 10 8 9 12 16 18 20 20 19 17 15 13 11 9 7 8 12 18 23 25 21 16 13 14 19 24 23 19 13 10 8 7 6 5 4 4 5 7 8 9 7 5 3 2 3 4 6 8 11 14 15 14 13 11 10 10 9 8 7 6 7 7 7 8 9 9 7 5 4 5 7 8 9 10 11 12 13 13 13 11 10 8 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 9 11 11 11 10 9 8 8 7 7 6 6 5 5 4 3 2 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 7 6 5 5 6 7 9 12 13 13 14 15 18 18 17 14 10 6 6 9 14 17 18 19 18 17 15 14 13 12 10 10 13 17 20 21 20 17 16 18 21 21 17 13 10 9 8 8 7 6 5 4 5 6 7 8 7 5 3 3 3 4 6 8 11 14 15 15 13 11 9 8 8 7 6 6 7 8 9 10 10 10 9 6 5 5 7 9 11 13 14 14 13 11 10 8 6 5 5 5 5 5 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 7 7 6 6 6 6 6 5 3 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 6 6 7 9 12 13 12 10 9 10 14 17 17 14 9 3 0 3 9 15 18 19 17 15 12 12 13 13 12 13 15 18 19 19 18 17 17 18 18 17 15 12 9 8 8 8 8 7 7 6 5 5 5 4 4 3 2 2 3 5 8 10 12 15 15 14 13 11 9 7 6 6 5 5 7 8 10 9 9 9 8 6 5 4 6 9 12 14 15 12 9 7 6 5 4 4 3 4 4 5 5 6 7 7 8 9 9 8 8 8 8 9 9 10 10 10 10 11 12 12 12 10 8 7 7 7 7 7 7 7 8 7 6 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 13 13 14 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 7 6 6 6 6 7 8 10 13 13 10 8 8 9 11 13 14 10 4 -3 -5 -3 3 11 16 16 13 10 8 9 12 13 13 15 17 19 19 18 17 15 14 14 14 13 11 9 8 7 6 6 7 7 8 8 7 5 3 2 0 -1 -2 -1 2 6 10 13 14 15 15 14 13 10 8 6 5 5 5 5 7 9 9 8 6 5 4 2 2 2 5 8 12 14 13 10 6 4 3 3 3 3 3 3 4 5 5 6 6 7 8 9 9 9 9 8 9 9 10 10 10 11 12 13 14 13 10 8 7 6 7 7 7 7 7 7 7 8 7 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 9 8 6 6 6 6 6 7 9 12 14 14 11 9 9 9 8 8 7 4 -1 -5 -5 -3 1 7 10 9 6 5 5 8 11 11 12 14 17 19 19 18 15 13 12 11 9 7 6 6 5 5 5 5 6 8 10 11 9 6 3 1 -1 -4 -5 -4 -0 6 12 16 17 16 16 15 13 10 7 5 4 5 6 7 8 9 8 6 4 1 -1 -2 -1 0 3 7 10 12 10 7 5 3 2 3 3 3 3 4 4 5 5 5 5 6 6 7 8 8 9 9 9 9 9 10 10 11 13 15 14 11 7 3 3 4 5 7 8 7 7 6 6 6 5 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 7 8 9 10 11 13 14 13 11 8 5 3 3 3 3 3 4 3 4 5 5 3 1 0 1 5 10 14 12 9 7 10 13 16 18 18 16 14 11 9 6 4 2 2 1 2 4 6 9 13 15 16 15 12 9 5 1 -3 -6 -5 -2 4 13 20 23 22 20 18 14 10 8 6 6 8 10 10 9 7 5 3 2 1 -0 -0 2 5 7 9 9 7 4 2 2 2 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 7 8 9 10 11 11 11 12 13 14 13 10 5 0 -1 0 4 7 8 8 7 7 6 6 6 6 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 8 7 6 6 6 7 8 10 11 12 13 13 12 10 7 4 1 -0 0 2 4 6 6 6 4 5 5 4 3 3 6 10 14 16 14 9 7 7 9 12 14 15 15 14 13 10 8 6 3 2 0 1 3 6 11 15 19 20 19 15 11 7 4 -1 -4 -4 -1 5 13 22 27 27 23 18 14 10 9 8 9 10 10 9 7 6 5 4 4 4 4 6 8 12 15 16 14 9 4 2 2 2 3 4 5 6 6 6 5 4 4 3 4 4 5 6 7 8 9 10 11 11 12 12 13 13 13 12 9 5 2 2 5 10 12 10 8 7 7 7 7 8 8 nan
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nan 8 8 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 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 17 24 29 31 28 19 13 8 6 6 7 10 14 17 16 14 13 13 12 12 12 13 15 17 18 18 18 17 17 17 17 17 15 12 9 8 9 10 10 9 7 5 5 5 7 8 9 10 9 7 6 6 7 8 8 7 6 5 6 6 7 7 7 7 8 8 9 10 10 11 11 9 8 8 8 9 9 9 9 9 9 10 9 8 8 8 8 9 11 12 13 13 13 13 13 13 13 12 11 10 9 8 8 8 8 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 9 8 7 6 7 9 13 17 18 17 16 14 13 13 13 13 13 12 11 10 8 6 6 11 18 26 33 35 33 28 23 19 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 16 22 27 28 26 18 10 7 5 4 6 10 13 16 16 14 14 13 13 13 14 15 16 15 14 13 13 14 15 16 16 15 13 11 9 8 9 10 10 10 9 8 7 8 8 9 10 10 10 8 7 8 9 11 11 10 9 7 6 6 6 6 6 6 7 7 8 8 9 10 10 10 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 11 11 12 13 14 14 14 13 12 11 10 9 9 9 10 10 9 8 8 8 9 9 10 9 8 7 6 6 5 4 5 6 7 9 10 10 10 10 10 10 9 9 8 8 9 12 16 18 18 17 15 14 13 12 12 12 11 10 8 5 3 5 11 19 27 32 33 30 25 21 18 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 16 21 27 28 24 18 10 6 5 4 5 8 12 15 16 16 15 14 14 14 15 16 16 14 12 10 10 11 13 14 14 13 12 10 9 9 10 10 11 11 11 11 10 9 9 10 10 10 10 9 9 10 12 13 13 13 11 9 8 7 7 7 6 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 13 14 13 13 12 11 11 9 9 10 12 13 12 10 9 8 9 10 11 10 9 7 7 6 5 5 6 7 8 9 10 10 10 10 9 9 9 9 10 11 13 15 17 18 18 17 16 14 13 11 11 10 9 7 5 4 3 6 12 19 24 27 27 24 21 19 18 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 15 21 28 31 28 21 14 8 5 5 5 7 11 15 18 18 17 15 14 14 15 16 16 14 12 10 9 9 11 12 13 12 12 11 11 11 11 12 12 13 14 14 13 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 8 8 8 7 7 7 6 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 9 10 10 11 12 12 12 12 11 11 10 10 11 13 14 14 12 10 8 7 8 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 8 9 12 15 17 18 18 19 18 17 16 15 12 10 8 7 6 4 3 3 5 9 14 18 19 20 21 19 18 17 16 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 15 22 29 34 33 26 18 11 7 5 5 6 10 15 19 20 19 17 16 15 15 16 17 15 13 11 9 8 8 10 12 13 14 14 14 14 13 13 14 15 16 16 14 11 10 10 10 11 10 10 11 11 10 10 10 10 11 12 12 12 11 9 8 8 7 7 7 6 6 6 6 6 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 11 10 9 8 8 9 11 12 11 11 11 11 11 12 13 14 14 14 12 10 8 7 7 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 8 8 8 9 10 13 16 18 18 18 18 18 17 16 14 12 9 6 3 1 -0 -1 2 7 12 15 16 16 16 16 16 16 16 16 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 11 11 12 14 21 28 32 33 28 19 12 8 6 6 7 9 14 18 20 20 19 18 17 17 17 18 17 15 12 9 7 7 9 12 14 15 15 15 15 15 15 15 16 16 16 14 12 11 11 11 11 11 10 10 10 9 9 9 10 13 14 14 13 11 9 7 7 6 7 8 8 8 8 7 6 7 7 7 7 7 8 8 9 9 9 9 9 9 8 9 9 10 9 9 9 9 9 10 11 11 10 10 10 11 12 13 14 13 13 11 10 9 8 8 8 9 8 8 8 8 8 9 8 7 7 7 8 8 9 10 10 11 11 13 16 17 18 17 16 16 16 15 14 12 10 6 2 -1 -3 -4 -2 4 10 13 15 15 13 12 13 14 15 15 16 nan
nan 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 12 14 19 26 30 31 27 18 11 7 5 5 7 9 12 16 19 20 20 19 18 18 18 18 17 15 12 9 7 7 9 11 13 14 15 15 15 15 16 16 16 16 14 12 11 11 11 11 10 10 10 9 9 9 9 10 12 15 16 13 10 7 6 5 4 5 6 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 12 12 12 12 10 9 8 8 9 10 10 9 9 8 8 9 10 11 10 10 9 8 8 9 9 10 12 13 17 20 22 19 16 14 13 13 12 11 9 7 3 -1 -5 -8 -8 -1 7 12 14 14 12 11 10 11 13 15 16 16 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 11 14 18 25 30 30 25 16 8 5 4 5 6 9 12 15 18 18 17 17 16 17 18 18 16 14 11 9 7 7 8 10 12 13 14 14 15 16 17 17 16 15 13 11 10 10 10 10 10 9 9 8 8 9 11 13 16 18 16 10 5 3 2 2 3 4 6 8 10 11 11 10 9 9 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 11 11 11 10 9 9 10 11 11 10 9 9 9 9 10 10 10 9 8 9 10 12 12 13 13 12 11 10 9 8 9 10 13 18 25 27 24 19 14 11 10 9 6 4 3 1 -2 -8 -11 -9 -2 7 12 13 12 10 9 10 11 13 15 16 16 nan
nan 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 13 18 23 28 29 24 16 9 5 4 4 5 8 11 14 15 15 14 13 13 14 16 16 15 13 10 8 7 7 8 9 10 12 13 14 14 15 17 18 18 17 15 13 11 10 10 10 10 9 8 7 8 10 13 16 20 21 15 7 1 -1 0 2 4 5 7 9 11 11 10 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 9 9 9 10 11 11 11 10 9 9 10 11 12 13 12 11 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 13 12 12 10 9 8 9 12 19 27 30 28 23 17 12 8 5 2 1 1 1 -1 -7 -11 -9 -4 4 8 9 9 9 9 10 12 13 15 15 16 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 13 17 22 27 29 25 18 12 8 5 4 4 6 10 12 13 13 12 10 10 12 15 16 16 15 13 10 9 8 7 8 9 10 12 12 13 13 14 16 17 18 18 17 15 14 13 13 12 12 10 8 9 12 15 19 23 21 13 4 -2 -4 -1 4 7 9 11 12 12 11 10 9 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 9 9 9 10 10 11 10 9 9 8 8 10 12 13 15 15 14 12 10 10 10 11 11 11 11 10 10 9 9 9 10 12 12 13 12 11 11 11 10 10 10 9 11 13 19 26 30 30 26 20 13 7 2 -1 -1 0 2 2 -3 -8 -7 -5 -0 4 6 7 9 10 11 12 13 14 15 15 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 15 22 27 31 29 21 15 10 7 5 4 5 8 11 12 12 11 11 11 13 16 19 20 20 18 15 12 9 7 7 8 9 10 10 10 10 10 11 12 15 17 18 18 17 17 17 17 16 14 13 13 15 18 20 22 19 10 0 -5 -6 -3 4 10 14 16 15 14 11 9 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 10 12 16 18 18 17 14 11 10 11 12 12 12 11 10 9 8 8 9 11 12 13 12 11 9 7 7 7 8 10 13 16 20 24 27 27 25 20 12 5 -0 -3 -2 1 4 6 3 -2 -3 -3 -1 2 5 7 9 11 12 13 13 13 14 14 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 14 21 27 31 30 23 15 11 8 5 4 5 7 10 12 12 13 14 14 17 20 23 24 23 20 16 11 8 7 7 7 8 9 9 9 8 7 7 7 9 12 14 15 16 16 17 17 18 18 19 19 20 20 21 19 15 7 -1 -6 -7 -4 4 12 17 19 18 15 12 10 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 11 15 18 19 18 16 13 10 10 11 12 12 12 11 9 7 5 6 8 11 13 13 11 9 5 3 3 4 6 12 16 19 21 23 22 21 17 10 3 -1 -3 -2 1 5 8 7 4 2 1 1 3 5 7 9 11 12 13 13 14 14 14 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 14 18 25 30 29 24 16 11 8 6 4 5 7 9 12 13 15 16 17 18 20 21 21 19 16 12 8 7 7 7 7 8 8 9 8 8 7 7 6 6 8 9 10 11 11 11 12 14 18 20 22 22 22 21 18 12 7 0 -4 -5 -3 3 12 17 19 19 16 13 11 9 8 6 6 6 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 12 15 16 16 15 13 10 9 10 11 12 13 12 11 8 6 6 6 8 11 12 11 9 5 2 0 -1 1 5 10 13 15 16 17 16 14 9 4 0 -1 -1 1 5 8 9 8 6 5 4 4 6 7 9 10 11 13 13 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
25 23 25 27 28 27 24 23 26 28 29 30 33 37 36 28 19 14 13 13 12 13 15 13 18 18 15 12 9 6 5 5 5 4 5 6 8 7 6 7 8 8 8 7 8 10 12 13 13 14 17 19 19 17 14 12 12 12 11 11 10 9 8 8 8 8 8 8 7 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 0 0 0 27 128 292 419 389 243 102 27 2 0 0 1 5 25 111 224 309 380 427 452 459 478 527 587 629 638 623 603 624 655 701 718 706 701 723 740 774 827 923 1093 1267 1365 1374 1345 1291 1245 1268 1407 1484 1427 1327 1182 982 899 941 993 988 939 916 972 1068 1072 1027 946 903 920 949 953 964 996 1036 1057 1068 1077 1088 1100 1108 1104 1084 1040 963 857 749 654 567 477 378 282
25 24 26 29 31 26 22 21 24 25 25 26 30 32 29 21 16 15 13 11 11 12 13 14 22 18 14 11 8 7 6 6 5 6 6 7 7 7 6 8 8 8 7 8 8 10 11 12 12 13 14 16 17 18 15 13 13 13 13 14 12 10 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 2 2 1 0 0 0 51 231 474 590 430 167 33 3 0 0 2 10 34 90 179 274 358 421 463 490 507 528 563 603 629 636 628 618 635 654 709 727 716 705 701 694 704 759 896 1106 1275 1333 1326 1319 1308 1300 1230 1241 1268 1304 1267 1126 958 883 947 1026 1035 985 955 996 1070 1053 995 887 830 844 881 905 924 950 974 980 982 993 1017 1047 1070 1079 1072 1036 949 822 693 588 504 426 335 231
27 25 26 29 31 23 20 21 23 24 23 23 27 23 19 16 14 12 9 10 10 11 14 18 21 16 15 14 12 8 6 5 6 6 7 7 6 6 6 8 9 7 7 8 9 11 10 10 9 10 12 13 14 15 16 12 12 13 12 12 11 11 10 10 10 10 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 1 0 0 0 0 123 373 611 619 355 83 2 0 0 1 8 34 88 158 249 333 405 461 504 537 564 586 607 622 627 627 629 639 660 681 731 739 715 692 675 668 689 760 898 1070 1190 1235 1231 1218 1205 1176 1064 967 1004 1127 1181 1108 982 915 944 1009 1019 984 974 1020 1062 1003 887 799 786 823 855 861 849 843 844 847 853 874 912 959 1001 1025 1027 1000 914 787 649 534 445 365 276 175
24 23 25 25 24 23 21 22 23 24 23 22 21 17 17 15 12 10 9 10 10 12 16 19 18 15 15 15 12 8 6 5 6 8 8 7 6 6 7 8 9 7 8 8 9 10 10 9 8 10 11 12 13 15 15 12 12 14 12 10 11 11 10 10 10 9 9 8 7 7 8 7 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 2 2 1 0 0 0 7 229 537 689 541 238 29 0 0 0 5 26 71 144 231 313 385 448 504 552 592 622 637 643 644 633 625 629 649 680 713 747 745 696 667 652 650 676 741 833 919 988 1038 1063 1063 1042 991 890 794 846 1028 1147 1120 1013 934 922 941 937 928 962 1004 977 868 760 741 783 822 823 793 753 723 714 715 720 738 773 823 876 918 942 940 887 778 656 555 468 379 275 167
24 21 23 21 21 22 22 21 22 21 21 19 17 13 14 13 11 10 11 11 12 15 19 19 15 14 15 13 10 7 5 5 6 7 8 7 5 6 7 9 9 8 8 9 9 9 8 8 9 10 11 12 12 14 15 15 13 14 11 10 10 10 10 10 9 9 8 8 8 8 8 7 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 2 3 3 2 2 1 0 0 0 0 49 289 654 678 413 136 5 0 1 3 16 54 118 204 291 363 423 484 546 601 643 665 667 657 646 630 614 618 644 683 725 753 752 706 661 630 621 642 684 731 771 829 889 925 927 899 853 808 796 914 1076 1140 1080 974 905 894 898 881 876 916 917 837 740 710 750 800 807 781 745 710 677 651 631 617 616 630 662 712 773 835 883 884 826 743 663 593 500 373 241
24 22 20 20 21 20 18 18 19 18 17 17 16 16 13 10 10 11 11 12 13 15 17 16 11 14 14 11 8 6 6 7 8 8 7 6 6 7 9 9 9 9 9 8 8 7 6 7 8 9 10 12 11 13 14 15 14 14 11 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 76 309 612 536 251 61 0 0 3 15 42 83 164 253 327 386 441 504 573 629 657 662 650 628 602 586 579 592 621 660 701 732 741 727 690 635 593 587 610 644 679 730 786 820 813 771 743 795 933 1066 1146 1091 974 892 876 900 913 891 871 874 819 739 705 738 793 812 786 763 763 759 723 658 591 545 524 515 516 545 613 710 808 866 866 835 809 772 682 540 389
25 23 22 23 21 17 16 16 17 17 16 16 16 13 10 8 9 9 10 11 12 13 14 12 10 13 11 9 7 6 7 8 8 7 6 5 6 8 9 10 10 10 9 8 7 6 6 8 8 9 10 11 12 12 14 14 14 13 11 10 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 3 117 312 430 301 97 15 0 0 5 23 60 107 195 274 331 377 425 483 544 587 590 568 541 516 498 497 511 539 571 602 638 675 705 722 711 658 586 540 531 552 596 649 690 709 698 661 677 802 957 1040 1139 1039 895 861 902 957 981 967 932 857 759 702 701 744 787 788 757 754 810 845 798 684 564 493 462 435 395 385 431 527 643 739 788 810 839 857 811 691 544
23 25 27 26 22 16 16 16 19 20 19 17 15 10 8 8 8 8 10 10 10 10 10 10 9 12 12 9 8 8 8 8 7 6 5 5 6 7 9 11 13 11 9 8 6 6 6 7 8 9 10 11 12 12 13 14 13 12 11 11 10 10 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 51 213 302 256 123 23 0 0 0 5 25 62 115 191 258 303 336 371 413 452 468 451 415 389 378 379 389 413 449 482 507 536 570 611 647 662 636 569 497 456 456 497 556 601 614 600 600 683 805 903 955 988 956 890 912 975 1037 1069 1065 1007 843 719 696 703 729 745 737 720 736 818 875 825 693 561 479 439 392 303 241 246 316 421 526 611 686 767 832 831 742 609
24 25 25 22 18 17 18 18 23 23 20 17 15 12 10 10 8 8 10 10 9 8 10 9 9 11 13 11 11 10 9 8 6 5 5 6 7 7 9 12 13 12 9 8 8 7 7 8 8 9 11 12 12 13 14 15 14 13 12 11 11 11 10 10 10 9 8 8 7 7 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 22 211 327 243 125 37 1 0 0 0 5 23 53 97 156 214 259 282 299 324 348 354 333 298 275 270 274 284 306 337 364 382 388 397 425 474 524 543 514 450 389 374 412 487 553 576 566 591 726 846 939 981 968 930 934 994 1042 1082 1100 1076 977 799 707 711 723 729 721 705 700 727 790 851 842 747 634 552 493 412 266 145 114 160 257 371 479 578 681 764 772 686 563
22 21 20 17 17 19 19 20 22 21 17 15 14 14 13 12 10 11 11 10 9 8 9 9 8 11 13 14 13 9 7 7 6 5 5 6 7 7 8 10 11 10 9 9 10 9 9 10 10 10 11 11 13 13 14 15 15 13 11 11 11 11 10 10 9 8 8 7 7 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 5 4 4 4 4 3 4 3 3 3 3 2 2 2 0 0 0 0 0 81 322 333 148 44 7 0 0 0 0 3 16 37 66 108 160 205 226 225 245 278 299 289 253 214 194 188 193 207 225 241 251 240 217 214 249 306 354 361 326 282 284 340 435 518 554 559 598 727 840 901 902 876 881 952 1040 1034 1014 958 888 807 739 721 741 747 730 719 733 756 769 770 780 804 808 761 680 605 498 290 103 52 78 174 301 423 530 629 709 688 575 459
21 19 17 17 18 19 19 20 20 16 14 13 12 11 12 12 13 15 15 13 10 8 7 7 7 10 10 8 7 7 6 6 6 5 6 6 6 7 7 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 13 15 15 14 11 10 10 10 9 9 9 8 7 7 7 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 5 4 4 4 4 4 4 3 3 3 2 2 2 2 0 0 0 0 0 110 257 194 62 9 0 0 0 0 0 0 5 19 41 70 102 133 153 157 189 249 297 301 258 196 151 134 134 137 140 146 146 128 95 79 91 122 154 168 158 152 189 278 384 466 509 529 566 647 727 751 743 750 816 931 1014 947 845 710 655 664 703 742 758 738 705 729 785 821 810 761 720 720 776 785 731 674 554 321 101 22 35 107 225 360 489 598 660 598 446 355
22 19 18 18 19 19 19 17 17 14 13 12 11 9 9 11 12 14 16 16 12 8 6 6 7 9 11 8 7 6 6 5 5 5 5 6 6 7 7 6 6 6 7 7 7 8 8 8 10 10 10 11 12 12 12 13 13 13 12 11 11 10 9 8 8 8 7 6 6 5 6 6 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 0 0 0 0 6 102 138 68 18 0 0 22 26 10 0 0 1 6 32 41 43 48 65 100 158 244 316 330 284 207 138 113 110 107 101 96 85 65 43 31 31 39 50 58 63 76 116 200 305 379 425 455 486 531 572 594 613 652 729 828 875 797 672 562 550 601 666 714 731 715 693 732 784 803 794 762 722 705 740 734 718 670 537 315 102 9 12 45 119 246 402 537 591 514 344 283
27 22 20 20 20 20 18 15 16 14 13 11 10 9 8 11 11 12 15 17 15 9 7 7 8 8 9 9 7 8 7 6 5 5 5 5 6 6 6 6 5 5 5 5 5 6 7 8 9 11 11 10 11 12 11 11 11 11 11 11 10 9 9 8 7 6 6 5 5 5 6 5 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 2 46 111 77 23 3 0 6 79 108 42 4 1 4 12 29 17 7 1 10 51 128 232 326 365 343 278 199 140 114 103 83 67 50 31 15 6 6 9 14 22 30 41 61 99 176 257 313 349 386 436 494 547 584 608 621 629 624 590 543 520 532 588 646 686 695 677 664 683 712 739 779 799 771 727 710 659 651 625 505 300 102 7 4 16 51 129 253 363 417 417 279 225
24 21 19 19 19 18 16 14 14 13 12 10 9 10 11 12 11 13 15 17 16 13 11 11 10 9 9 11 11 11 8 7 5 5 6 6 6 5 5 6 6 5 5 5 6 6 7 8 9 11 12 11 11 11 10 10 10 10 10 9 9 9 8 8 6 5 5 5 5 6 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 2 2 2 1 0 0 0 1 26 125 170 80 19 2 0 9 60 106 33 5 9 22 27 14 2 0 0 0 17 74 177 301 396 428 396 309 202 125 94 64 45 25 10 2 0 0 1 3 7 12 17 23 34 70 139 218 274 334 415 506 577 608 581 491 417 388 395 428 482 542 589 612 621 616 597 577 573 591 640 738 824 830 759 677 624 572 568 482 300 113 13 4 6 23 53 113 182 242 272 219 167
20 18 18 17 15 15 14 14 13 12 12 12 12 12 11 12 14 15 14 16 18 17 15 13 11 10 10 9 9 10 9 7 6 7 7 8 8 7 6 6 6 6 6 6 7 7 9 10 11 12 12 11 11 11 10 10 10 10 10 9 9 9 8 7 5 4 5 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 1 1 2 3 3 2 2 1 0 0 0 0 0 2 60 189 259 139 46 10 1 0 0 0 0 7 30 36 23 4 0 0 0 0 1 27 103 232 375 449 428 336 215 123 80 49 26 10 2 0 0 0 0 0 1 1 5 10 17 34 87 177 258 343 432 509 547 534 484 354 282 260 286 353 444 527 550 545 541 538 531 512 487 474 517 644 763 782 717 630 559 494 500 463 329 163 50 16 6 8 16 30 61 107 148 147 119
19 18 17 16 15 14 14 14 15 13 13 13 15 16 15 15 17 18 18 19 18 17 14 12 10 9 10 8 6 7 9 8 7 7 7 8 9 9 8 6 5 6 7 8 9 9 10 12 13 13 12 12 11 11 11 10 10 10 10 10 9 8 8 6 5 4 5 5 5 4 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 2 1 1 0 0 0 0 0 3 84 227 311 213 75 16 1 0 0 1 4 14 30 21 8 1 0 0 0 0 0 7 48 146 278 371 344 247 164 107 70 43 21 8 2 0 0 0 0 0 0 0 0 6 14 32 80 169 266 332 365 381 389 385 353 299 269 251 274 332 406 462 470 468 479 495 505 488 445 399 396 457 574 614 595 541 468 427 439 454 394 267 144 62 15 1 0 7 16 36 68 89 81
18 18 18 16 15 14 12 13 15 13 13 14 15 16 17 17 18 21 23 22 16 13 10 9 8 9 9 8 7 8 9 9 8 7 7 8 8 8 7 6 6 7 7 9 11 12 12 12 11 12 12 11 11 13 12 10 9 9 9 9 8 8 7 6 5 5 6 5 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 3 95 230 269 171 52 2 0 0 2 6 12 17 1 2 1 0 0 0 0 0 0 1 16 69 159 234 218 170 141 121 95 67 43 22 8 2 0 0 0 0 0 0 0 10 22 43 91 167 243 268 235 201 194 218 258 292 311 302 303 324 357 389 410 427 448 472 488 470 424 366 318 298 370 411 431 432 419 405 414 447 452 395 279 138 31 1 0 0 3 16 38 52 44
19 20 23 22 18 14 12 12 14 15 15 16 18 18 18 17 18 20 23 21 16 10 8 8 9 11 11 10 9 12 12 10 7 7 9 10 8 7 7 7 8 9 9 10 12 14 14 13 13 12 10 9 10 12 12 10 9 9 8 8 7 7 6 6 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 3 83 168 140 57 10 0 0 6 15 21 19 11 0 0 0 0 0 0 0 0 0 0 3 22 71 121 140 151 173 223 205 155 101 53 21 6 1 0 0 0 0 0 0 17 36 58 95 147 188 186 142 114 116 143 193 256 304 313 300 293 295 311 343 388 432 454 447 423 392 358 308 246 250 277 312 343 368 389 413 448 494 506 408 233 79 13 1 0 0 7 18 20 13
22 24 25 23 21 17 13 13 13 14 15 16 22 22 19 17 18 20 19 20 16 10 7 7 8 10 11 10 10 11 13 11 11 11 12 12 10 8 9 9 9 10 12 13 14 15 15 14 13 11 9 8 9 10 10 10 10 9 8 7 7 7 6 5 6 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 1 1 1 1 1 1 2 3 3 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 7 51 67 38 10 0 2 11 28 40 33 16 2 0 0 0 0 0 0 0 0 0 0 0 5 26 58 101 169 269 325 290 219 140 73 29 11 6 1 0 0 0 1 7 28 47 61 85 114 134 132 116 118 129 130 145 180 221 251 252 245 234 238 281 355 419 423 386 372 350 316 283 253 229 241 275 311 345 380 423 473 533 574 489 329 170 65 19 4 0 0 0 1 1
24 24 23 21 18 16 15 14 13 14 15 16 18 17 17 17 20 23 23 22 18 13 8 7 7 8 8 6 7 9 10 11 11 12 12 12 12 11 10 10 9 10 11 12 14 14 15 14 12 9 8 9 9 9 9 10 10 9 8 6 6 6 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 1 0 1 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 6 31 66 39 11 3 10 25 41 48 40 16 4 0 0 0 0 0 0 0 0 0 0 0 0 1 6 22 69 160 271 327 294 216 133 66 28 13 10 6 1 0 0 3 16 39 51 58 70 83 93 101 114 145 164 138 114 114 137 163 179 183 175 184 246 341 395 350 316 271 284 276 265 267 262 266 290 323 359 392 422 453 495 535 471 371 248 135 58 14 1 1 0 0 0
19 17 15 14 14 13 13 14 15 14 14 14 14 14 15 17 22 26 26 23 20 17 12 8 7 8 8 7 8 8 8 8 8 10 12 12 12 12 13 13 11 11 11 12 13 13 13 13 12 11 10 10 10 9 8 9 9 8 7 6 5 5 5 4 4 3 3 2 2 2 2 2 2 2 2 1 2 2 3 3 3 3 2 1 1 1 1 0 0 1 2 2 1 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 8 49 129 167 105 35 19 40 60 57 40 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 29 93 181 243 238 175 105 55 28 17 13 12 11 9 7 9 22 40 48 52 60 69 72 75 88 115 138 117 96 88 92 105 122 131 132 149 215 307 337 261 174 158 218 241 246 256 274 288 305 334 368 397 410 413 417 419 382 329 236 138 61 17 7 15 15 6 1
14 13 12 12 11 9 10 11 12 12 11 11 10 11 14 17 23 26 24 22 21 21 17 11 8 7 7 8 8 7 8 8 9 10 11 13 12 12 13 14 14 14 12 11 12 12 13 13 12 10 11 10 9 8 8 8 8 7 6 5 4 4 4 3 3 3 3 2 2 2 2 2 1 2 2 1 3 3 3 3 3 3 2 1 1 1 0 1 0 1 1 1 0 1 1 3 1 0 0 0 2 7 5 18 31 28 15 4 4 32 189 303 296 198 97 48 48 46 32 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 30 75 117 129 103 68 47 37 31 27 29 35 33 21 18 28 41 49 52 60 65 62 56 57 70 90 101 98 89 84 86 93 98 102 118 162 218 227 176 114 105 126 158 182 201 220 238 257 284 319 354 389 393 363 318 289 231 150 79 31 12 21 46 53 25 6
12 12 12 11 10 9 9 10 10 10 9 11 9 10 13 17 22 25 20 19 20 22 19 14 12 10 10 10 10 9 9 10 11 11 11 12 12 12 12 13 14 15 14 12 13 12 12 12 11 11 11 10 9 8 7 7 7 6 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 3 3 3 2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 22 57 87 131 154 128 76 34 33 107 364 445 370 238 121 46 11 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 40 54 53 46 46 53 62 62 59 62 59 34 25 34 47 57 62 62 57 51 46 47 59 80 99 96 81 70 64 63 65 68 76 91 104 95 74 57 56 66 80 94 108 124 142 164 190 226 272 331 345 295 221 181 128 67 25 5 3 13 29 39 24 6
12 12 11 10 9 10 10 11 10 9 9 10 9 12 14 16 19 20 18 18 17 18 17 16 14 14 15 14 12 11 11 10 11 12 12 12 13 12 12 13 13 14 14 12 12 13 12 12 12 11 10 9 8 7 7 7 6 6 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 2 0 0 0 1 2 3 1 0 6 10 9 5 1 0 0 0 9 59 139 229 296 301 248 166 98 88 164 308 355 256 149 65 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 19 27 31 34 42 58 76 91 104 114 106 62 35 32 43 55 64 66 62 62 60 60 68 75 74 61 43 30 25 24 25 27 31 35 37 32 27 26 27 30 33 34 37 45 58 78 104 140 191 248 255 204 138 98 62 25 5 0 0 0 0 0 0 0
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14 12 11 11 10 11 11 12 12 11 11 11 12 11 10 11 11 11 12 12 12 14 19 18 19 17 16 14 12 12 13 13 13 14 14 14 14 14 14 14 14 14 12 11 11 11 11 11 10 9 8 8 7 7 6 6 5 5 4 4 3 3 2 2 2 1 1 1 2 2 2 2 2 1 1 1 2 2 3 1 2 9 17 24 32 50 89 88 116 163 201 221 232 208 132 64 20 3 1 5 15 23 34 56 99 125 120 94 76 67 60 47 22 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 17 22 27 32 41 58 87 112 112 99 77 43 17 6 4 15 41 75 91 62 32 19 9 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 2 2 2 6 20 39 59 87 142 178 162 117 73 44 26 10 1 0 0 0 13 43 11
15 14 13 12 11 11 10 10 11 12 12 12 11 10 10 10 10 11 13 14 14 14 15 14 17 15 14 13 12 11 11 12 12 12 12 12 13 13 13 13 13 12 11 11 10 9 10 9 8 7 7 7 6 6 5 5 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 0 1 2 3 3 2 1 4 10 23 50 100 162 193 236 296 343 359 356 319 230 121 46 9 0 0 0 0 0 3 18 33 40 34 27 25 25 19 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 1 2 4 10 19 28 38 48 56 60 61 48 42 41 32 17 5 0 0 4 20 44 45 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 30 47 72 124 179 169 117 64 33 19 7 1 0 0 0 16 42 25
14 14 13 12 11 11 12 11 12 13 13 13 11 10 11 11 10 11 11 12 14 14 13 12 12 11 10 10 10 10 10 11 12 11 10 10 9 9 10 11 11 11 10 10 10 9 9 8 8 7 7 7 6 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 3 4 3 1 1 5 23 60 115 178 228 258 273 298 314 307 267 193 98 37 7 0 0 0 0 0 0 1 4 6 4 0 0 0 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 5 11 10 8 12 25 41 64 84 82 60 32 16 8 6 5 2 0 0 0 3 14 19 13 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 6 16 36 70 115 148 120 68 28 9 4 0 0 0 0 0 11 29 33
12 12 11 10 10 11 13 14 14 13 13 12 11 11 11 11 11 10 10 10 11 10 10 9 9 9 8 7 8 9 9 9 9 9 8 7 7 7 7 9 9 8 8 8 8 8 7 7 7 7 6 6 5 4 3 3 3 2 3 4 4 3 2 2 2 2 2 2 1 2 2 2 1 1 1 2 3 2 3 2 1 1 4 15 41 76 126 179 203 188 158 156 145 113 70 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 1 0 0 0 0 0 0 0 0 0 0 0 2 21 28 24 18 20 36 63 105 127 97 52 18 4 0 0 0 0 0 0 1 2 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 1 3 30 70 96 84 44 17 5 1 0 0 0 0 0 1 11 30 42
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9 10 10 11 11 11 10 9 11 12 11 9 8 9 10 10 9 8 8 8 8 7 8 7 6 6 5 5 6 7 8 7 6 5 5 5 5 5 5 5 5 4 5 6 6 5 5 5 5 4 4 5 4 4 3 3 3 3 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 3 2 2 1 0 0 0 0 0 2 5 13 79 112 106 73 35 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 18 14 5 1 0 0 0 0 0 0 0 4 17 40 58 55 44 45 66 103 138 131 73 36 19 13 14 18 29 38 40 35 23 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 35 34 17 1 6 16 5 0 0 0 0 2 9 24 51 69
8 10 10 12 12 11 8 8 10 10 10 9 8 9 9 9 8 8 8 8 8 7 6 5 6 5 4 4 5 6 7 7 6 5 5 4 4 4 3 3 3 3 4 5 5 4 4 4 4 4 3 4 3 3 3 3 3 3 2 2 1 1 2 1 1 1 0 0 1 1 1 1 1 2 2 3 2 1 0 0 0 0 0 0 0 1 7 48 81 87 72 42 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 14 10 3 0 0 0 0 0 0 0 0 0 14 29 43 58 69 75 87 111 133 134 106 64 43 32 27 26 34 46 59 66 65 43 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 7 3 2 10 35 54 21 2 0 0 2 5 15 34 47
9 9 9 11 11 11 11 12 12 9 9 9 9 9 9 9 8 8 8 7 8 7 6 6 5 4 4 3 4 5 6 7 7 6 5 4 4 4 4 4 3 4 4 5 4 4 4 4 4 3 3 3 3 2 2 2 3 3 2 2 2 2 1 1 0 0 0 0 1 1 1 0 1 2 2 3 2 1 0 0 0 0 0 0 0 0 4 20 47 62 60 40 17 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 5 4 1 0 0 0 0 0 0 0 0 0 0 23 34 39 49 72 105 142 170 168 141 104 77 66 60 50 42 39 41 49 61 66 43 15 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 35 78 29 5 0 0 0 0 3 9 13
10 10 11 13 13 13 12 11 10 10 9 9 9 9 8 9 9 8 8 7 7 7 6 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 0 0 0 1 1 0 0 0 0 1 2 6 10 13 5 1 0 0 0 0 0 0 1 5 16 32 38 30 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 23 29 32 45 75 121 172 195 182 156 130 109 95 81 63 47 35 27 25 27 24 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 7 1 0 0 0 0 0 0 0
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13 14 13 12 12 12 12 13 13 12 11 10 10 11 10 9 8 7 6 6 7 6 5 4 4 3 3 4 4 5 4 4 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 3 2 2 1 1 1 1 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 2 8 27 19 7 2 0 0 0 0 0 0 0 0 1 7 7 3 1 0 0 0 3 18 35 39 18 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 27 30 22 11 7 15 48 130 145 108 61 27 11 6 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 2 8 20 4
15 15 16 15 13 13 15 15 13 11 11 10 10 10 9 9 9 7 6 6 6 5 4 4 3 3 3 3 4 5 5 5 5 5 5 6 5 5 5 4 4 5 5 5 4 4 3 3 3 3 2 1 1 0 0 0 0 1 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 2 4 1 0 0 0 0 0 0 0 0 0 1 5 9 13 12 7 3 0 0 6 36 71 74 44 11 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 4 10 15 12 8 4 9 32 73 92 61 28 8 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 1 5 18 31 10
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15 13 16 16 15 14 13 11 12 11 10 8 8 8 9 9 8 7 7 7 6 5 4 4 4 4 4 4 5 4 5 5 4 4 3 5 5 6 6 6 5 5 5 5 5 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 15 15 7 2 5 15 21 18 48 47 28 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 32 7 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 11 4
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10 9 8 7 7 8 9 10 9 8 7 6 5 6 7 8 8 8 9 8 6 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 3 3 2 2 2 2 2 1 1 1 2 2 3 4 4 5 5 5 5 5 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 27 46 53 45 37 29 23 22 33 52 73 74 50 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 24 87
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11 12 12 11 11 12 11 11 10 10 10 11 10 10 9 8 8 8 8 7 6 5 5 5 6 7 8 8 7 6 5 5 6 5 5 4 4 4 4 4 4 4 4 4 3 2 2 1 0 1 0 0 0 0 1 1 2 3 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 27 33 27 27 30 35 47 60 70 72 77 84 79 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 36 99 156 126
14 13 13 12 12 13 11 11 11 12 12 11 9 9 9 9 9 9 8 8 7 6 5 7 7 8 8 8 6 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 1 1 1 1 1 3 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 25 30 24 37 54 68 70 47 22 17 28 43 48 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 83 160 177 102
15 14 12 13 13 13 12 13 13 13 13 12 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 6 5 5 5 6 5 4 4 4 4 4 4 4 3 3 3 3 2 1 0 0 0 0 0 1 1 1 2 2 3 4 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 25 32 34 62 74 90 87 53 14 4 9 18 18 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 1 1 0 1 5 10 10 8 7 8 14 35 128 187 164 78
14 14 13 14 14 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 1 1 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 26 35 47 76 73 92 87 58 23 5 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 15 20 30 40 39 33 34 46 66 86 117 111 76 32
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15 16 15 15 14 14 14 13 12 12 12 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 20 34 43 54 64 71 78 66 43 23 10 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 3 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 2 13 25 37 58 84 102 101 84 61 68 91 106 112 75 36 10
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