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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 7 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 5 7 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 2 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 3 4 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 7 9 10 9 7 7 6 5 4 5 6 7 7 7 6 5 4 3 3 2 1 2 5 5 7 7 2 -4 6 7 2 4 5 3 8 8 4 5 5 2 -0 3 7 1 1 3 2 0 5 3 -1 2 6 10 8 2 3 11 14 7 2 7 10 7 3 2 4 9 9 4 2 5 10 8 5 7 5 -1 -0 2 3 2 -0 1 4 4 4 11 27 39 32 17 8 5 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 5 6 8 10 13 15 14 12 11 11 10 10 10 11 11 10 7 6 5 2 3 6 7 6 4 4 5 5 5 3 3 5 8 7 6 6 6 6 6 5 5 8 8 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 2 3 5 6 7 7 7 7 7 7 5 4 3 2 2 1 1 2 2 4 5 6 6 5 3 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 3 4 4 7 16 26 19 8 6 6 2 -2 -3 -8 -6 -12 -7 -0 -4 0 5 1 -1 -1 -1 -2 -8 -12 -8 -6 -6 -4 -1 3 4 5 5 6 8 11 16 19 17 11 9 9 9 9 10 10 9 8 9 12 12 11 14 17 15 10 10 11 11 7 2 1 1 3 3 4 3 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 6 6 6 5 4 3 3 3 2 2 3 3 3 3 3 3 3 4 6 7 7 7 6 5 4 5 4 4 4 4 5 5 5 4 3 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 3 3 3 4 4 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 5 5 5 5 4 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 4 4 5 6 6 5 5 5 5 5 5 6 9 11 11 8 7 7 5 4 5 6 6 7 7 6 4 4 3 3 1 2 5 6 5 11 18 8 1 9 8 3 5 9 2 1 3 3 6 7 -0 -6 1 8 5 2 0 -0 1 8 9 6 4 6 8 8 4 5 11 12 10 10 9 8 10 6 -0 2 10 13 8 3 1 1 2 5 7 3 -2 -1 3 5 5 6 9 9 10 14 24 34 34 21 10 6 4 3 3 3 2 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 5 6 8 9 11 12 12 11 10 11 11 11 10 9 10 9 7 4 3 3 4 6 6 4 4 3 4 5 3 2 3 6 6 6 5 6 6 5 6 6 5 6 3 2 3 2 1 2 4 5 5 4 4 3 3 3 4 5 4 3 2 3 3 3 3 3 3 2 2 1 1 2 3 4 5 6 7 8 8 9 9 8 6 5 4 3 2 1 2 2 3 5 6 6 5 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 8 17 24 22 17 14 7 9 10 7 2 2 -0 1 0 5 8 5 4 6 7 4 3 1 -2 -3 -3 -2 -1 1 3 4 4 5 5 7 9 11 13 11 8 8 8 8 9 10 10 11 11 10 9 11 12 9 6 4 4 6 6 4 2 1 2 3 4 4 3 2 3 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 5 5 6 6 5 4 3 3 2 2 3 3 2 2 2 2 3 3 5 6 6 7 7 6 5 5 4 3 3 3 4 4 5 4 4 4 3 2 2 2 3 3 3 4 4 4 3 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 5 5 4 5 5 5 6 8 11 12 9 7 7 6 5 4 6 6 7 6 5 3 4 3 0 -2 4 9 4 4 13 19 7 3 7 3 2 4 6 0 -3 -2 -1 4 9 4 1 6 11 9 3 2 1 3 9 11 9 7 7 8 8 8 11 12 7 9 12 7 5 8 1 -5 3 11 14 10 4 -3 -6 -1 5 5 5 4 3 4 6 7 8 11 13 16 26 35 32 20 10 6 4 4 3 3 2 2 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 4 4 4 5 6 7 8 9 10 10 9 9 11 12 12 10 8 8 7 5 3 -1 -4 1 6 5 4 4 3 4 4 4 4 5 6 5 5 6 6 5 5 6 5 5 5 -1 -5 -0 2 -1 -2 2 5 5 4 3 3 3 4 5 5 5 4 3 2 2 2 3 4 4 3 2 1 1 2 3 4 5 5 6 7 9 10 11 11 9 7 5 4 3 2 2 3 3 5 5 5 4 3 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 4 3 4 4 6 14 18 20 17 9 7 7 5 4 7 6 4 4 5 5 7 7 7 8 7 8 9 7 4 4 4 4 3 3 3 3 4 5 5 7 8 10 11 9 8 8 8 10 12 14 15 14 11 10 10 9 6 3 2 2 4 4 2 2 2 1 2 4 5 4 3 3 3 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan 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 4 5 5 5 5 4 4 3 3 3 3 2 2 2 3 3 3 3 4 5 6 7 7 6 5 4 3 3 3 3 3 3 5 5 5 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 7 10 12 10 8 7 6 5 4 5 6 6 6 3 3 4 3 -2 -6 1 7 3 2 7 11 5 3 5 5 4 7 4 -2 -3 -2 2 7 8 6 8 11 10 5 3 4 3 5 7 7 8 8 8 9 9 8 10 11 12 13 9 3 5 6 -1 -3 6 12 13 8 2 -2 -1 3 4 5 8 9 7 5 5 6 7 10 15 24 33 33 21 10 5 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 6 7 9 9 9 8 9 9 11 11 9 8 6 5 4 2 -3 -4 3 6 5 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 6 1 -6 -4 0 0 -1 1 4 5 4 3 3 3 5 6 7 6 4 3 2 2 2 3 4 4 3 2 2 2 3 3 4 4 5 5 6 8 10 12 13 12 9 7 6 4 3 3 3 3 4 5 5 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 7 12 15 10 6 6 4 2 4 7 6 5 4 4 6 9 8 6 4 7 7 7 9 9 7 5 4 4 4 3 3 4 5 6 8 9 9 9 8 8 9 11 13 17 19 18 13 10 10 8 6 4 2 2 3 3 2 2 1 1 1 3 5 4 3 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 4 6 7 7 7 5 5 3 3 2 3 3 4 5 5 4 4 3 3 2 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 4 3 3 5 5 5 4 4 4 4 3 3 4 5 5 5 5 5 4 4 5 5 7 9 12 11 9 7 7 6 4 5 6 6 5 3 3 4 3 -2 -8 -5 1 5 5 5 5 3 6 6 6 4 11 9 2 0 0 6 10 5 2 3 6 3 1 2 4 4 5 7 3 2 5 8 9 6 4 6 8 15 15 7 2 3 3 6 9 10 9 8 5 1 4 9 8 5 7 9 9 6 4 3 3 5 9 18 28 30 20 9 5 5 4 4 3 3 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 9 9 9 8 7 6 5 3 2 2 5 6 6 5 5 3 4 5 5 5 5 5 6 6 6 5 5 5 5 4 4 5 4 3 0 -5 -3 5 7 4 4 4 4 3 3 4 6 8 8 7 5 3 2 2 3 4 4 4 3 3 3 3 3 3 3 4 5 5 6 7 9 12 15 14 11 8 6 5 5 4 3 3 4 5 5 4 3 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 2 1 -1 -2 -2 -1 -1 -1 -1 2 7 8 6 5 4 3 6 8 7 5 4 2 5 9 11 7 3 6 8 10 10 8 5 5 4 5 4 4 3 4 5 6 8 8 8 8 7 8 10 11 14 17 20 18 13 9 8 8 6 5 4 3 3 3 3 2 1 -0 -1 1 3 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 3 2 2 2 3 4 4 3 3 4 3 3 3 3 3 4 4 4 3 3 4 6 7 8 7 7 5 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 4 4 4 6 5 4 4 4 3 3 4 4 5 5 6 6 5 4 4 5 5 6 8 11 12 10 7 7 6 5 5 5 6 5 5 4 4 4 -1 -7 -6 1 5 6 7 4 2 9 8 3 2 6 8 7 4 1 8 12 5 2 2 2 1 5 6 5 4 6 7 3 -2 -1 6 9 2 -4 2 6 10 9 4 3 1 1 8 12 8 5 8 6 5 11 14 10 9 9 7 6 5 4 2 1 4 10 19 24 17 9 5 4 4 4 4 3 4 4 4 4 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 9 8 7 6 5 4 4 5 7 6 6 6 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 -1 -3 4 9 6 5 4 4 3 4 5 8 10 10 8 5 3 3 3 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 6 8 12 15 15 12 10 7 7 6 5 4 4 5 5 5 4 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 1 -1 -3 -5 -8 -7 -7 -7 -5 -2 2 5 6 6 5 5 7 9 7 3 4 6 6 7 12 10 5 4 8 8 7 6 4 5 5 5 5 4 4 4 4 6 7 7 7 7 7 8 9 11 13 15 16 15 12 8 7 7 7 6 5 4 3 2 2 1 0 -1 -2 -1 2 4 4 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 3 3 3 3 3 2 1 2 2 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 6 7 7 7 6 5 4 3 3 3 3 3 3 4 3 3 4 3 3 2 3 3 3 3 2 3 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 5 6 5 4 4 3 3 3 3 4 5 5 6 6 5 5 5 6 6 8 9 11 10 8 7 6 6 5 5 5 5 5 5 5 4 2 -4 -4 3 5 4 7 7 6 9 5 4 5 3 4 6 6 3 10 13 5 4 7 4 3 8 8 5 5 6 4 3 -1 -2 5 9 -2 -7 2 3 4 2 1 1 4 4 1 5 4 6 7 -1 4 12 13 12 9 7 5 4 5 5 4 4 5 12 20 18 9 5 4 4 4 4 3 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 5 5 5 4 6 6 5 5 4 4 5 6 5 5 5 6 5 5 5 5 4 4 4 5 5 6 5 5 4 3 -0 -1 3 6 5 4 4 4 5 7 10 12 11 8 5 3 4 5 6 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 7 11 14 15 12 11 9 7 7 6 6 6 6 6 5 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 3 2 2 1 1 2 1 -2 -6 -6 -4 -6 -4 -0 3 5 6 7 6 5 7 8 7 6 4 6 7 8 11 10 7 4 4 4 5 5 4 4 5 5 5 4 2 1 2 4 6 6 6 6 7 7 8 10 11 11 11 10 9 7 6 6 6 6 5 3 2 2 2 1 1 -0 -2 -1 1 3 3 2 2 2 3 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 3 3 3 3 3 2 2 1 1 2 2 2 3 3 3 3 3 2 3 3 4 4 4 4 5 5 6 6 6 6 6 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 6 7 7 6 6 5 5 6 6 5 4 4 3 3 3 3 4 4 5 6 6 5 5 5 5 6 7 8 10 10 9 7 6 6 5 5 5 6 6 7 6 5 4 -0 -2 1 4 5 8 10 10 9 5 4 4 3 2 5 7 6 10 9 4 5 8 7 5 6 4 4 6 6 3 5 3 2 9 7 -5 -3 4 4 4 2 0 -1 6 8 5 2 -1 2 4 -2 1 6 7 8 9 9 6 3 3 4 6 7 10 18 22 14 6 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 3 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 6 6 6 5 7 9 8 6 5 4 5 6 6 6 5 6 6 6 5 5 5 5 5 5 6 6 5 5 5 4 3 2 2 4 4 4 4 4 6 9 11 12 11 7 5 3 3 5 6 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 6 9 12 13 13 11 9 8 7 7 8 8 8 7 5 3 3 4 4 4 5 5 6 6 5 5 5 4 4 3 3 2 1 0 3 7 6 3 2 1 2 1 0 2 4 5 5 7 7 5 6 6 6 9 8 6 5 7 10 9 7 5 5 5 4 4 4 3 3 4 5 5 1 -3 -2 1 4 6 5 5 5 7 8 9 9 8 7 7 6 5 6 5 5 5 4 3 3 3 2 2 2 0 -1 -1 0 2 2 2 1 1 2 5 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 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 3 4 5 5 5 5 5 6 6 5 4 2 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 1 2 2 2 2 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 5 4 4 4 4 3 3 4 4 5 6 6 6 5 5 6 6 7 8 8 10 10 8 6 6 5 5 6 6 7 7 7 6 4 1 -1 -2 1 5 9 9 8 7 6 4 6 7 2 2 5 8 9 5 6 5 5 8 6 5 3 5 8 7 5 6 6 8 13 4 -6 1 5 7 10 8 0 -1 1 3 5 6 2 6 5 4 4 5 2 6 10 9 5 3 2 4 7 10 15 23 20 10 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 7 7 6 9 17 17 12 9 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 5 4 5 5 6 6 4 4 4 4 4 5 6 8 11 11 9 6 4 2 2 4 5 4 3 2 2 3 3 4 4 4 4 4 5 5 5 5 5 7 9 11 11 11 10 9 8 7 8 10 10 8 4 2 2 3 4 4 4 5 5 6 6 6 5 5 4 3 3 3 4 4 4 8 8 6 6 4 4 3 3 3 4 5 4 5 5 6 6 5 5 10 12 9 5 6 8 9 8 7 6 6 5 5 4 2 1 2 4 6 6 2 -0 -0 2 5 5 5 5 6 7 8 8 8 6 5 4 5 5 5 5 5 4 4 4 5 5 4 3 1 -0 -1 -0 1 2 2 1 0 1 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 3 2 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 3 4 5 5 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 3 4 3 3 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 5 4 4 4 3 4 4 5 5 5 4 4 4 5 4 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 6 6 6 5 6 7 7 7 8 8 9 9 9 7 6 5 5 5 6 7 7 7 6 5 2 0 -1 1 5 7 6 5 4 3 6 10 10 6 3 1 4 8 6 7 6 6 9 8 8 7 7 8 7 6 4 5 8 8 -1 -3 2 3 7 12 12 -0 -0 -1 1 6 5 3 8 5 8 8 7 7 11 13 9 4 2 1 4 8 11 17 22 15 7 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 4 4 5 5 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 9 16 20 20 19 16 13 11 9 8 7 7 7 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 7 9 9 8 5 3 2 2 4 4 4 3 2 2 3 3 4 4 4 4 4 5 5 5 5 4 5 6 8 9 9 8 8 7 8 9 10 11 8 3 -0 -0 1 3 5 5 4 5 6 7 7 6 5 4 3 2 2 6 12 9 6 6 6 6 4 3 3 3 5 6 7 7 5 6 8 7 6 6 9 13 12 8 7 8 9 9 8 7 7 6 6 4 3 2 2 3 7 10 12 11 7 3 4 5 5 5 5 6 7 8 9 7 6 5 5 6 5 6 5 5 5 6 8 8 6 5 3 1 0 -1 -1 0 1 1 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 2 2 3 4 4 3 3 2 2 2 2 3 2 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 2 1 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 4 4 3 3 4 5 4 4 4 4 3 4 5 5 5 4 5 5 5 4 4 4 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 6 5 6 6 7 7 8 8 7 7 8 9 9 8 6 6 6 5 5 6 7 8 7 5 4 2 1 3 8 9 5 4 4 3 8 11 8 5 3 1 3 7 9 8 7 9 8 10 11 9 7 6 6 6 3 2 2 2 -0 1 2 2 7 12 11 0 2 1 3 9 5 4 4 5 7 5 8 11 16 15 10 5 4 4 5 5 8 15 17 10 6 5 5 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 6 12 17 20 21 21 19 17 15 14 14 12 10 8 6 6 6 6 5 6 6 6 7 7 7 7 10 11 9 6 5 5 5 6 6 7 6 5 3 4 3 4 5 5 4 3 3 2 2 3 4 4 4 3 4 4 5 3 2 2 4 5 6 7 7 6 6 6 7 8 9 10 8 3 -1 -4 -3 1 3 5 4 4 5 7 6 4 4 3 2 0 -0 4 13 13 6 6 6 4 3 3 3 6 8 11 11 11 11 12 12 9 8 7 7 8 10 9 8 8 9 9 9 8 8 7 6 6 4 3 2 2 5 11 13 13 11 6 4 5 5 5 5 5 6 8 9 9 8 7 7 6 7 7 6 6 6 7 10 10 9 7 6 4 2 0 -1 -1 0 1 2 1 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 2 1 1 3 4 4 4 4 3 2 2 3 3 3 2 1 0 0 2 3 3 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 3 3 2 2 2 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 4 4 5 4 4 4 4 5 5 5 6 6 7 7 7 6 6 6 6 7 7 8 9 9 8 8 7 7 7 6 5 6 7 7 8 8 7 6 7 7 8 10 9 7 6 6 6 5 6 8 7 7 6 5 3 3 8 14 12 8 3 1 2 6 10 8 2 1 2 6 9 10 8 6 5 6 11 15 13 7 3 3 6 7 1 -3 1 4 2 2 3 5 8 5 1 3 3 6 7 4 2 6 11 6 -2 3 11 12 10 9 6 5 8 9 8 11 16 14 7 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 3 7 9 13 15 17 18 19 20 19 17 15 12 8 7 6 6 6 8 10 13 13 12 12 14 15 14 8 6 5 5 6 6 6 5 4 3 1 2 4 4 5 6 4 4 3 3 3 4 4 5 5 4 4 4 5 2 -4 -6 -0 4 6 5 6 5 5 5 6 7 8 9 9 6 1 -4 -7 -6 -1 4 4 3 4 5 3 1 -2 -2 -2 -3 -2 2 10 11 6 6 5 4 4 3 5 7 10 11 12 12 11 10 10 9 6 5 6 6 7 8 9 9 8 9 9 9 7 7 7 7 5 3 2 3 4 7 8 7 8 6 4 5 5 6 5 6 6 7 8 8 8 8 8 8 8 9 8 7 7 8 10 11 12 12 10 7 4 2 0 -0 -0 0 1 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 5 2 0 1 3 3 3 4 5 5 4 3 3 3 3 3 2 -0 0 1 2 2 2 2 3 3 2 2 1 1 1 2 3 3 4 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 6 6 6 7 6 5 6 7 8 8 10 11 12 11 9 8 7 6 6 6 6 7 8 8 7 6 6 6 7 8 9 10 8 7 5 6 6 6 7 7 7 6 5 4 6 12 13 9 9 1 -1 1 3 0 5 8 10 5 3 4 9 10 7 4 6 12 17 17 11 5 2 4 7 4 -2 2 6 3 4 4 3 3 -3 -0 2 7 7 4 3 2 7 11 3 -7 -2 9 11 8 8 6 5 7 9 13 19 19 11 5 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 4 4 3 3 2 1 1 1 1 1 2 2 4 5 7 10 13 14 13 13 14 14 15 15 13 12 15 17 17 16 15 15 16 19 18 12 7 6 5 5 6 6 6 4 3 2 1 1 2 3 4 5 5 4 3 4 4 5 5 5 5 5 4 4 6 5 -3 -12 -10 -0 5 5 5 5 5 5 5 6 8 9 10 10 8 2 -4 -10 -9 -3 3 3 0 -1 -1 -3 -6 -7 -7 -6 -2 2 7 8 6 6 6 5 6 8 9 9 9 8 7 8 7 5 5 5 5 4 5 6 7 8 9 10 10 9 9 8 7 7 6 6 5 3 3 3 3 4 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 9 10 11 11 9 8 8 10 13 15 14 11 8 4 2 1 0 1 1 1 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 5 3 1 2 3 2 3 3 4 4 5 5 4 4 4 4 3 1 0 1 1 1 2 3 3 3 3 3 2 2 2 1 2 3 3 5 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 6 7 8 9 11 14 15 14 10 8 7 6 5 5 5 7 8 7 6 5 5 6 8 8 9 11 10 8 5 6 8 7 7 7 7 6 4 3 7 10 7 6 6 1 2 -0 3 -3 7 16 15 7 -1 -2 6 11 9 7 7 11 16 19 15 10 8 5 2 2 2 6 8 5 7 6 3 1 -3 1 4 8 6 4 2 4 6 8 3 -1 3 7 9 9 9 7 5 5 7 14 21 17 8 4 4 3 4 4 4 4 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 5 5 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 2 3 3 2 2 2 2 2 2 3 4 5 5 5 7 9 11 16 17 17 17 17 15 12 10 10 11 13 15 14 9 7 6 5 6 6 6 6 5 4 3 2 1 2 2 1 2 4 2 -0 1 4 6 6 6 6 5 5 6 9 12 7 -3 -10 -4 3 5 5 5 5 5 5 6 7 8 9 12 13 12 7 -3 -12 -12 -4 0 -3 -5 -4 -3 -4 -4 -5 -4 1 3 3 4 5 6 8 8 10 14 16 13 9 7 5 4 5 6 4 3 4 4 5 6 7 8 9 10 11 10 9 8 7 6 6 5 4 4 4 3 3 3 4 6 8 8 6 5 6 5 6 7 7 6 5 3 3 4 4 6 8 10 12 12 10 7 6 8 11 13 14 13 10 7 5 3 2 2 2 2 2 2 2 nan nan nan nan nan nan nan 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 5 5 5 3 3 3 3 2 2 3 3 5 7 7 6 5 5 4 3 2 2 1 1 2 2 3 3 4 4 3 3 3 2 2 2 2 3 4 5 5 5 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 6 6 7 8 9 12 17 19 17 12 8 6 6 5 5 5 7 8 6 5 4 5 6 8 8 9 11 11 9 6 8 9 7 7 7 6 5 3 2 5 7 5 8 5 5 6 -1 -1 2 6 18 11 9 1 -2 3 7 6 8 8 6 9 15 15 13 12 8 3 0 2 5 5 5 7 7 6 5 3 4 8 8 7 5 4 7 7 8 4 7 8 7 5 7 8 7 6 6 6 14 19 12 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 7 9 10 11 11 8 5 5 5 5 6 7 8 8 7 6 6 5 5 6 6 6 5 5 4 3 2 2 3 1 -1 1 2 -4 -8 -2 4 7 7 6 6 6 7 11 17 16 7 2 -0 2 4 5 5 5 5 5 4 5 6 7 9 12 15 16 10 -3 -12 -10 -6 -5 -3 -2 -0 2 3 4 4 4 4 3 3 5 6 6 7 10 14 18 16 12 9 6 5 6 5 4 3 4 5 6 6 6 7 9 10 11 11 9 8 7 7 6 6 5 5 4 3 3 3 3 6 8 8 6 5 5 5 6 6 7 7 5 2 2 3 3 4 6 8 10 10 8 6 4 4 6 9 11 12 11 9 7 6 5 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 4 5 5 5 5 4 3 2 1 2 3 6 7 7 7 7 6 5 4 3 2 2 2 2 3 3 4 4 4 4 4 4 3 2 3 3 3 4 5 4 3 3 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 7 8 9 12 17 22 21 15 10 7 6 5 5 6 7 7 6 4 4 5 7 8 9 10 11 11 10 9 8 8 7 6 6 6 4 1 0 3 6 7 9 5 9 8 5 -3 5 4 10 5 12 6 2 -0 2 4 6 4 4 4 9 13 13 10 5 3 3 2 1 1 4 7 9 10 7 5 7 9 9 6 4 7 12 7 6 5 9 8 5 5 4 4 6 7 8 10 18 17 8 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 2 3 4 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 5 6 6 6 6 6 5 5 5 6 6 5 4 4 4 4 6 6 3 3 6 1 -10 -13 -5 4 5 5 5 6 7 10 17 19 10 5 4 3 4 4 5 4 4 3 2 1 2 2 2 4 9 14 15 8 -3 -6 -4 -2 -1 -0 2 5 7 8 7 5 5 6 6 7 7 6 7 4 3 9 13 11 8 6 7 7 5 4 4 5 5 6 6 6 7 9 10 10 10 10 9 8 8 8 7 6 5 5 4 3 2 3 4 6 7 6 6 6 6 5 5 7 7 6 7 5 3 3 4 5 6 7 7 7 5 4 3 4 5 7 9 10 10 9 7 6 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 2 3 3 5 7 7 6 5 2 -0 0 1 3 6 7 8 7 6 6 6 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 3 3 2 2 3 4 4 4 4 3 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 3 3 3 3 4 3 3 4 5 4 4 4 4 4 4 3 4 5 4 4 5 5 5 3 3 4 4 4 5 4 5 6 6 6 5 5 6 6 7 7 9 11 15 20 22 19 13 9 7 6 6 6 7 7 5 4 4 6 7 8 9 10 11 12 12 11 9 7 6 5 6 5 2 0 1 4 6 6 7 6 7 7 8 3 9 5 4 10 14 10 8 1 1 2 3 6 5 3 7 9 9 9 5 -0 2 4 3 1 5 10 12 8 2 3 11 11 7 2 2 7 11 6 4 6 7 4 2 4 4 3 5 8 10 14 20 14 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 4 4 4 6 9 9 8 11 11 2 -9 -14 -8 -1 -0 1 2 5 8 11 14 10 4 3 3 3 4 3 2 1 1 -1 -4 -4 -3 -4 -6 -1 7 11 12 8 5 4 1 -0 1 1 4 7 5 3 4 7 10 10 10 11 11 9 7 0 2 7 8 7 6 7 8 7 5 4 4 4 5 5 5 6 7 8 9 9 10 10 9 8 8 9 8 7 5 4 4 3 3 3 4 6 6 5 5 6 5 5 6 7 8 10 7 5 4 4 4 5 6 6 7 6 4 3 3 4 5 7 9 9 8 7 6 5 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 6 4 4 3 4 6 7 7 7 3 1 -1 -1 1 4 5 6 6 6 6 6 6 5 5 4 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 4 4 3 3 3 2 3 3 4 4 4 3 3 3 4 4 3 3 2 2 2 2 3 3 3 3 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 5 4 3 5 6 5 4 4 4 4 4 5 4 5 5 6 6 5 5 5 6 7 7 8 10 12 15 18 20 16 12 9 8 7 7 7 6 5 4 5 6 8 9 10 11 12 12 12 10 8 6 5 5 5 5 2 0 2 6 7 8 9 6 5 8 3 8 8 7 2 14 13 8 10 4 3 1 1 9 4 0 3 4 5 9 7 2 2 4 4 3 7 13 14 4 -5 -1 7 11 6 1 2 8 8 2 2 4 4 2 -1 2 3 4 4 6 12 19 21 12 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 6 5 5 5 6 6 5 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 4 4 4 5 4 4 5 4 4 4 4 4 4 5 4 4 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 6 7 8 11 13 9 2 -10 -15 -10 -8 -7 -6 -2 5 7 8 7 5 4 3 3 2 1 0 -1 -1 -1 -5 -7 -3 -3 -7 -6 1 7 9 9 6 6 5 4 4 2 3 8 8 4 5 10 14 13 10 10 11 12 11 6 2 5 8 7 6 7 8 9 7 5 4 4 4 4 6 6 7 7 7 8 9 9 9 9 8 9 9 8 6 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 7 8 7 6 5 5 5 6 7 7 7 6 5 4 3 3 4 6 7 8 7 6 5 5 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 8 7 6 5 4 5 6 7 7 5 4 2 2 1 0 1 2 3 4 6 6 6 5 5 5 6 5 4 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 3 3 4 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 5 4 3 3 4 4 4 5 5 5 6 6 5 5 6 7 6 7 8 11 12 12 14 17 17 15 12 10 9 8 7 6 6 5 6 7 8 10 12 13 13 12 10 8 7 6 6 6 6 5 3 1 4 7 9 10 9 3 6 11 2 6 3 5 -2 9 8 5 7 6 6 3 3 5 1 0 1 1 4 9 7 6 6 4 2 4 6 12 13 3 -4 0 4 8 6 3 6 10 6 -0 1 1 -1 1 3 2 3 5 4 4 14 26 22 9 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 10 13 9 4 2 -5 -8 -8 -8 -11 -12 -4 2 5 6 5 5 4 4 3 1 1 1 0 1 1 -0 -1 2 2 0 2 5 6 7 7 5 4 7 9 8 7 10 15 13 10 13 14 12 10 5 4 8 7 4 3 5 6 6 6 6 7 10 9 6 5 4 4 5 6 7 7 7 6 7 9 9 9 9 9 9 9 8 7 6 5 4 3 3 3 3 4 4 5 5 4 4 5 5 5 6 6 6 6 6 6 7 7 7 8 7 6 5 4 3 3 4 5 6 7 6 5 4 3 2 3 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 8 8 7 6 6 5 5 5 6 7 7 6 5 3 1 -0 -1 0 3 5 6 6 6 5 5 6 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 4 4 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 5 5 5 5 6 5 5 5 6 6 6 7 10 13 14 13 13 15 16 16 13 12 10 9 8 6 6 6 6 7 10 11 14 14 13 11 9 7 6 6 7 6 5 4 2 2 5 7 9 10 6 1 8 9 -0 -1 4 3 -2 -0 1 3 2 9 10 9 6 4 2 2 -1 -0 5 7 2 5 8 4 2 4 5 7 8 4 3 4 5 5 5 6 8 7 3 4 4 1 -2 2 8 5 4 6 5 5 15 28 20 6 3 3 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 10 17 16 8 6 4 1 0 0 -5 -12 -12 -8 -2 3 4 4 4 6 5 4 6 7 5 4 5 5 5 5 6 6 5 5 5 6 8 5 3 5 9 13 11 10 16 17 15 13 10 9 8 5 3 4 5 3 3 4 5 5 5 5 6 8 9 8 6 4 4 5 6 6 7 6 6 7 7 8 9 10 9 9 10 9 8 6 6 5 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 7 8 8 7 6 5 3 2 3 3 4 5 5 4 4 3 2 2 2 2 3 nan nan nan nan nan 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 5 6 6 6 6 5 5 5 5 6 7 8 8 7 4 2 0 1 2 4 5 6 6 6 6 6 6 5 5 4 3 3 3 4 4 4 4 4 5 5 6 5 6 5 5 5 5 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 3 3 4 3 4 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 5 5 5 5 6 5 5 6 6 6 6 9 14 19 18 15 14 14 15 16 14 12 10 8 7 6 6 6 7 9 12 14 15 15 14 10 8 6 5 5 7 7 6 3 1 2 5 6 8 9 7 4 8 4 -3 -1 13 11 1 -5 -3 4 0 11 13 12 10 8 6 3 -2 -0 4 5 1 3 7 6 6 3 4 5 6 6 7 6 4 2 4 8 9 6 4 10 9 1 0 5 7 6 6 7 6 8 17 27 19 5 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 5 5 6 6 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 9 16 22 20 11 5 6 6 7 6 0 -6 -12 -11 -4 0 -0 1 4 6 6 7 9 7 6 6 6 6 6 6 6 6 5 5 6 8 6 6 3 7 12 11 9 10 11 11 9 7 6 6 6 4 4 4 4 3 3 4 4 4 4 4 6 8 8 6 4 4 4 5 6 6 6 6 6 6 6 7 8 9 9 9 9 8 8 7 6 5 4 5 5 3 2 3 4 3 3 4 4 4 4 4 5 6 7 7 6 6 7 7 8 7 7 6 4 2 2 2 2 3 4 4 3 3 2 2 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 2 3 4 5 5 5 5 5 5 5 6 7 8 9 7 5 4 4 3 2 3 4 5 5 6 7 7 6 6 5 5 4 4 4 4 3 3 4 5 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 8 16 24 26 22 17 16 15 15 14 13 11 9 6 5 5 5 6 8 11 14 15 15 14 12 8 6 5 4 5 6 7 5 2 1 2 3 7 10 7 6 7 11 6 -1 1 16 16 6 -1 -1 5 2 6 9 12 16 9 7 4 0 2 4 4 3 6 8 6 6 3 2 7 10 8 6 8 5 0 4 9 11 9 8 10 6 0 3 7 5 5 6 8 7 9 20 26 15 5 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 5 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 11 17 23 20 12 11 10 9 9 7 6 -1 -8 -9 -5 -5 -4 -1 1 1 2 4 6 6 5 4 5 5 6 6 6 7 8 8 7 8 9 6 6 8 6 6 5 5 4 5 6 5 5 5 4 4 4 5 4 4 4 3 3 3 3 5 6 7 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 8 8 6 7 9 8 7 5 5 4 3 2 2 2 3 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 8 8 7 6 4 3 2 1 2 2 2 2 2 2 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 2 2 3 4 4 4 4 4 4 4 5 6 7 8 9 8 7 5 3 2 3 3 4 5 6 7 7 6 6 6 6 5 5 4 4 3 4 5 6 6 7 7 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 7 14 29 37 32 24 20 17 15 13 12 10 9 7 6 5 5 6 7 10 12 15 16 15 12 9 7 5 4 4 4 5 4 3 2 2 2 3 7 10 5 1 4 11 9 5 4 11 12 7 3 5 10 7 4 4 9 16 8 5 3 5 6 4 4 5 8 7 5 5 4 3 8 13 8 3 6 7 4 5 7 8 9 10 8 2 2 7 7 3 3 5 7 7 9 18 23 14 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 3 3 2 2 3 5 5 4 4 4 4 5 5 5 6 6 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 7 9 14 18 19 18 19 16 11 9 8 7 1 -3 -3 -3 -3 -1 -1 -1 -1 2 5 6 5 2 4 6 6 6 8 12 14 12 9 10 11 9 5 4 4 3 3 3 3 4 5 5 4 4 4 4 5 5 5 5 4 4 3 3 2 3 5 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 6 9 8 6 9 10 10 9 7 5 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 7 8 8 8 7 6 5 4 3 2 2 2 1 1 1 1 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 2 1 1 2 3 3 3 4 4 4 4 5 7 9 11 12 9 6 4 3 3 3 3 5 5 6 7 7 6 6 6 6 7 6 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 2 2 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 5 5 4 3 4 4 5 5 5 5 6 6 6 6 6 6 10 25 42 36 24 21 19 17 14 11 10 9 7 6 5 5 5 7 9 11 13 15 14 13 10 8 6 5 4 3 3 2 -0 0 3 3 1 6 6 10 6 -1 2 4 5 10 10 10 10 4 1 7 12 10 5 3 5 8 7 7 5 7 8 4 3 6 7 6 5 5 4 4 7 8 4 3 9 12 8 4 4 4 6 10 9 7 7 10 5 1 2 5 7 7 7 13 18 18 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 2 2 1 3 6 7 6 4 4 4 4 5 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 7 10 13 16 20 22 17 12 11 11 9 8 9 7 4 4 5 5 4 5 8 6 7 8 8 7 8 6 8 15 18 15 12 10 8 5 3 2 2 2 2 2 2 3 4 5 4 4 4 5 5 5 5 5 5 4 4 3 2 2 4 5 5 5 5 4 3 3 4 3 3 4 4 5 6 6 6 5 5 6 8 7 8 10 11 11 10 8 6 5 5 5 4 5 5 4 4 4 4 4 3 3 2 2 3 4 5 6 7 8 8 8 8 8 7 5 4 3 2 2 1 1 1 1 1 1 3 nan nan nan 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 3 2 2 2 1 1 1 2 2 3 3 3 3 4 6 8 11 12 9 6 5 4 4 4 4 4 5 4 5 6 6 6 6 7 7 7 6 5 5 5 6 6 6 5 6 6 6 6 6 6 6 5 4 4 3 3 2 3 2 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 5 4 4 3 4 5 5 4 3 4 5 5 5 6 6 6 6 6 7 6 7 16 36 38 15 7 13 16 15 12 9 7 7 7 6 5 5 5 7 10 11 12 13 12 10 9 7 6 5 4 3 1 -2 -3 -1 3 5 5 7 5 7 8 3 4 2 3 7 6 7 8 4 1 3 7 9 6 4 2 1 7 11 11 9 7 8 5 6 7 6 5 4 1 1 5 4 2 6 13 13 6 3 2 1 2 6 11 13 13 12 5 2 3 5 5 5 6 10 15 22 16 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 3 3 3 2 2 4 6 8 7 5 4 4 4 5 5 6 6 5 6 5 5 5 4 4 5 4 5 5 5 5 5 4 5 4 4 3 3 3 3 3 2 2 2 2 2 3 2 3 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 6 8 11 16 18 15 14 16 15 16 20 17 10 7 10 10 8 8 12 11 9 15 15 9 9 8 6 12 14 12 8 6 4 3 2 2 2 2 1 1 2 4 5 5 5 5 5 5 5 5 6 6 5 5 4 3 3 2 3 4 5 5 5 5 4 4 3 3 3 3 3 4 5 6 7 6 5 4 4 5 7 8 10 12 13 11 9 7 5 5 5 5 5 4 4 4 4 4 4 3 2 1 2 3 4 5 6 7 7 7 8 8 8 8 6 5 4 3 2 1 1 0 -0 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 2 2 2 2 1 2 2 1 2 2 2 3 4 5 7 9 10 9 6 5 5 5 5 6 5 4 4 4 5 5 5 5 6 6 7 6 6 6 6 7 8 7 6 6 6 6 7 7 6 5 5 5 4 3 3 2 3 3 3 4 5 5 5 5 6 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 3 4 4 5 4 4 4 4 5 5 5 6 6 6 6 6 7 8 11 22 34 22 1 -2 8 14 12 10 8 7 6 6 5 5 4 6 8 10 11 11 11 10 8 7 7 6 5 4 1 -2 -4 -2 1 3 6 8 7 7 7 6 7 8 7 5 4 1 2 3 5 7 4 2 4 5 5 2 3 9 12 12 10 7 8 8 9 6 4 6 4 4 1 2 4 3 6 10 8 3 2 1 -1 -3 1 10 14 17 15 9 5 5 4 2 2 4 6 16 25 19 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 4 4 3 3 2 2 3 4 6 7 7 6 5 4 4 4 5 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 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 3 3 2 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 5 8 10 11 11 11 10 11 16 20 16 10 12 12 8 8 10 12 11 13 14 11 10 9 6 7 8 6 4 2 2 2 2 2 2 2 2 3 4 7 7 7 5 6 7 6 6 6 6 6 5 5 4 4 3 2 2 3 4 4 5 5 5 5 4 4 3 3 3 3 3 4 5 5 5 4 3 4 5 7 9 11 13 14 12 9 7 6 6 6 6 5 4 4 3 4 4 4 3 2 3 3 4 4 4 5 5 6 7 7 7 7 7 6 6 5 4 3 2 2 0 -0 -0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 6 7 7 7 6 5 5 5 6 7 6 5 4 3 3 3 4 4 5 5 5 6 5 6 7 8 8 8 8 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 5 5 4 5 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 2 2 2 2 3 3 3 3 3 2 3 2 2 2 3 4 4 4 4 3 3 3 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 9 15 25 28 14 1 -0 5 10 12 10 8 7 6 6 6 5 5 6 8 10 10 10 9 8 7 7 7 7 5 3 -2 -5 -2 3 5 2 4 6 5 10 8 4 6 7 9 9 4 1 1 2 5 10 7 2 3 7 8 7 8 8 10 12 9 4 3 7 12 9 4 6 7 7 3 4 7 0 2 5 4 3 1 1 1 -1 2 8 16 20 14 10 5 3 1 1 3 5 4 18 28 16 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 3 3 3 2 3 4 4 5 6 6 6 5 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 3 3 4 4 4 3 3 2 2 3 3 4 4 4 4 4 5 5 5 6 6 5 4 4 7 10 13 12 12 12 7 7 6 6 7 8 8 9 9 9 7 5 5 4 3 2 1 1 1 2 2 2 3 5 7 9 9 7 7 8 8 8 7 6 6 6 6 6 5 5 4 3 2 3 3 3 4 5 6 5 5 5 4 4 3 2 2 3 3 4 5 5 4 4 5 6 8 10 12 14 14 13 10 7 6 7 7 6 5 4 4 3 4 5 4 4 4 4 5 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 3 2 1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 5 6 6 5 5 4 4 5 6 7 7 6 5 3 3 3 3 3 3 4 4 4 5 5 6 7 8 9 8 7 6 6 6 6 6 6 6 5 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 2 2 3 2 3 4 3 3 4 3 3 3 3 4 5 5 4 4 4 4 5 5 6 7 7 7 7 7 8 13 20 27 24 9 2 4 3 9 12 11 8 7 7 6 6 6 5 6 7 8 9 9 8 7 7 7 7 6 3 -2 -5 -3 2 6 7 0 -2 4 9 15 6 3 2 2 8 10 6 3 0 -0 5 9 7 4 7 10 9 9 9 7 8 9 5 0 0 5 9 7 3 3 7 4 2 5 9 2 0 4 7 5 -1 4 8 6 6 7 17 22 12 8 4 0 -2 1 7 10 7 18 28 15 5 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 6 5 5 4 3 3 3 3 3 3 2 2 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 3 3 3 4 4 3 3 2 2 2 3 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 5 6 7 8 5 5 5 4 4 4 5 5 7 8 7 6 5 4 4 3 2 1 1 1 2 2 4 6 9 11 10 8 7 8 9 8 8 7 7 6 6 6 5 6 6 4 3 3 3 3 3 5 5 5 5 5 5 4 4 3 2 2 2 3 4 4 5 5 5 6 7 9 11 13 15 15 12 10 8 7 7 7 6 6 5 4 4 4 5 5 5 6 5 5 6 5 5 5 6 6 6 6 6 6 6 5 6 6 5 4 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 4 5 5 5 4 3 3 5 6 6 7 6 6 5 4 3 4 4 4 4 4 4 4 4 4 6 7 8 8 7 7 6 6 6 6 6 6 5 4 4 3 3 3 3 3 4 4 5 5 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 5 6 5 4 4 4 5 5 6 7 7 7 7 8 8 11 19 24 23 14 3 7 10 8 11 12 10 8 7 6 7 7 6 6 6 7 9 9 8 8 7 7 6 6 3 -3 -7 -4 1 4 4 2 3 5 4 7 10 3 -2 -2 2 8 9 8 6 1 4 9 7 5 6 8 9 9 9 8 7 6 4 1 -1 -0 4 5 2 1 1 4 2 -2 2 10 9 6 6 7 4 -1 8 12 9 8 8 14 23 17 8 4 -2 -5 2 10 13 10 18 28 16 5 5 5 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 3 3 3 2 2 3 3 3 4 4 4 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 2 2 2 3 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 3 3 4 5 6 7 7 5 3 2 2 3 3 4 4 4 4 3 3 2 2 3 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 6 7 7 7 6 5 4 3 2 2 1 1 1 2 5 8 11 11 9 7 6 7 8 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 2 3 4 4 5 5 6 5 5 7 9 12 13 14 13 12 10 8 7 8 7 7 6 6 5 4 4 5 6 6 6 6 5 6 6 6 6 6 7 6 6 6 6 5 5 5 5 4 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 4 5 5 4 3 3 3 4 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 4 4 5 6 7 7 7 6 6 5 6 6 6 5 4 3 3 2 2 3 3 3 3 4 5 6 6 7 7 7 7 6 7 6 6 6 6 6 5 5 5 4 4 4 3 3 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 3 4 5 5 5 4 5 5 5 6 7 7 7 8 8 9 12 19 26 25 15 2 1 13 16 11 9 9 8 7 6 6 6 6 6 6 6 7 8 9 8 7 7 6 6 2 -5 -8 -5 -1 3 4 2 -3 1 6 5 3 3 5 -3 0 7 6 7 9 6 4 8 10 4 3 7 9 9 8 7 7 9 8 4 1 -0 1 3 2 1 3 3 5 7 -3 -3 10 15 10 5 4 -0 2 7 8 8 13 13 12 21 25 12 1 -5 -5 4 12 11 9 18 28 18 5 4 5 5 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 7 8 8 6 4 3 3 3 3 4 4 4 4 4 3 2 2 3 4 5 5 5 5 5 5 6 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 6 5 4 4 3 2 2 3 5 9 11 10 7 5 5 5 5 5 4 4 6 7 7 6 6 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 7 8 10 11 12 12 12 11 9 8 8 7 6 5 4 3 3 5 5 5 5 6 6 5 5 6 6 6 6 7 7 7 7 7 6 6 5 4 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 5 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 4 5 5 3 2 2 3 4 4 5 4 5 5 5 5 6 6 7 6 5 3 2 3 3 4 4 5 5 5 6 5 5 6 6 5 5 4 4 3 2 2 2 2 3 3 3 4 4 5 6 6 6 6 7 7 7 7 6 6 6 6 6 5 4 4 4 4 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 7 7 9 10 14 23 30 28 19 8 -3 1 13 12 4 2 4 6 8 7 6 5 5 5 5 5 6 7 9 8 7 6 5 3 -4 -10 -8 -0 2 2 4 5 3 -2 -3 -2 -1 4 5 0 5 11 5 4 7 4 4 3 3 1 3 6 9 12 9 6 6 8 8 6 4 4 3 1 1 4 5 4 6 8 -0 -4 11 20 6 3 4 -3 3 8 3 4 12 14 15 26 30 14 1 -6 -3 7 10 6 8 18 29 20 5 4 5 4 4 3 3 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 6 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 4 4 3 3 4 4 3 3 3 3 3 4 4 5 5 6 7 7 9 9 8 5 3 3 3 4 4 4 4 4 3 3 2 2 3 3 4 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 8 8 7 7 6 5 5 4 4 6 8 10 8 5 3 3 3 3 3 1 1 5 7 7 7 6 6 5 5 5 4 4 5 6 6 5 5 4 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 5 7 8 10 11 11 11 11 10 9 8 7 6 4 2 2 3 4 3 4 4 4 4 4 4 4 5 4 5 7 7 8 9 9 8 7 6 5 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 4 4 4 4 5 6 6 6 6 5 5 5 4 3 2 3 3 5 5 4 3 2 3 3 3 3 3 3 3 4 4 5 6 7 7 6 4 3 3 3 4 4 4 4 4 4 5 6 6 6 5 5 4 4 3 2 2 2 2 2 2 3 3 4 4 5 5 5 6 6 6 7 6 6 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 4 4 4 5 6 7 7 7 8 10 16 25 34 33 22 10 2 -0 10 8 -0 -6 -4 1 6 7 8 7 6 5 5 5 5 6 7 9 8 6 5 5 -1 -9 -10 -4 2 3 3 4 5 8 10 7 1 -0 2 1 1 8 14 7 5 5 4 8 5 2 3 3 4 9 14 11 8 9 6 2 3 6 7 5 1 2 7 6 6 8 5 -1 -4 14 22 3 2 6 -2 2 4 0 2 10 12 20 33 30 14 1 -5 -1 8 9 4 5 15 30 23 5 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 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 6 7 8 10 10 11 11 9 6 4 3 3 3 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 7 8 8 8 7 7 6 6 6 8 8 5 3 1 1 1 2 3 2 1 2 5 6 7 7 7 6 6 5 5 4 4 5 5 6 6 5 4 3 3 3 4 4 3 2 3 3 3 4 4 4 5 5 4 3 4 4 5 7 9 9 10 10 11 11 10 10 8 6 4 2 2 2 2 3 2 2 3 4 4 3 2 2 3 4 5 7 9 10 10 9 8 7 5 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 3 3 4 5 5 6 6 6 6 6 6 6 6 5 4 3 3 4 5 5 4 3 2 3 3 3 3 2 2 3 3 4 5 6 7 7 6 5 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 6 6 6 7 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 6 7 10 15 23 32 34 27 16 3 -5 3 6 -5 -14 -11 -6 -1 4 7 9 9 7 6 5 5 5 6 7 8 8 7 5 1 -5 -9 -6 -1 3 5 6 6 5 6 7 10 11 7 3 0 3 8 13 11 12 8 7 10 9 3 1 3 6 9 13 12 10 10 3 -1 2 5 6 4 -1 1 8 7 5 6 4 -0 1 15 14 1 2 1 -2 4 1 -1 4 8 8 24 37 27 10 -2 -3 4 11 10 5 4 14 28 23 6 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 6 7 10 12 13 13 12 10 7 4 3 3 4 4 4 4 3 2 2 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 8 8 9 9 8 7 7 7 6 4 1 0 -0 -0 1 4 5 3 1 4 5 6 7 7 7 6 5 5 5 4 4 5 5 6 6 5 4 3 2 3 4 3 2 3 3 3 3 3 3 4 4 4 3 3 3 3 4 6 7 8 9 9 10 11 11 10 9 7 4 3 2 2 2 2 1 1 2 3 3 2 2 2 2 3 5 7 8 10 10 8 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 3 4 4 5 5 6 7 7 6 6 6 6 6 7 6 5 4 4 3 5 5 5 4 4 3 4 3 2 2 2 2 2 3 4 6 7 8 7 6 4 3 3 4 3 3 3 3 3 3 4 4 4 4 5 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 5 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 10 15 20 24 26 24 21 13 0 -8 -8 -17 -20 -16 -11 -5 0 5 7 9 9 9 7 6 5 5 6 7 8 9 7 3 -4 -6 -4 -2 1 5 9 8 7 9 8 2 -1 0 3 3 3 6 8 13 20 20 12 8 8 7 2 -0 1 5 8 10 11 9 7 1 3 6 4 3 1 -4 -3 3 7 8 9 7 2 5 10 9 4 2 -7 -3 11 6 1 2 2 7 27 37 23 5 -3 -1 7 12 11 6 6 16 26 19 7 5 5 5 5 4 4 4 4 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 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 5 6 6 6 7 6 6 6 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 7 11 13 14 13 9 6 4 3 4 4 4 5 4 3 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 8 9 8 8 8 7 6 6 3 1 0 0 -1 0 4 6 4 3 4 4 5 6 7 8 7 6 5 5 5 4 4 4 5 6 5 4 2 2 2 4 4 3 3 3 2 2 2 2 3 3 3 4 3 3 2 3 4 5 6 6 7 9 10 11 12 11 9 8 6 5 4 3 2 2 0 1 3 3 3 3 3 2 2 2 3 5 7 8 8 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 5 6 6 6 6 7 8 8 7 6 6 5 6 7 7 7 6 5 4 4 5 5 5 4 4 4 4 3 2 1 1 1 2 3 5 7 8 8 7 5 4 4 5 5 4 3 3 2 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 5 6 6 5 5 6 6 5 7 8 8 8 11 15 19 18 16 14 13 14 8 -3 -10 -16 -22 -17 -7 -4 -1 3 5 6 8 9 9 8 7 6 6 6 7 9 9 6 -1 -5 -3 -0 -2 3 6 11 8 5 9 9 3 -2 -5 -4 -0 5 7 8 15 24 21 12 8 7 6 3 1 1 5 7 5 7 8 6 5 11 10 4 2 1 -3 -3 2 6 7 8 8 9 7 4 9 15 10 -5 -4 8 11 3 -0 3 17 31 29 15 2 -3 1 8 11 9 5 7 18 27 17 6 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 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 6 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 7 11 13 13 9 6 5 4 4 4 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 5 5 5 5 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 5 6 7 8 8 8 8 7 6 5 4 3 2 1 -0 1 4 5 4 3 4 4 4 5 6 7 7 7 6 6 6 5 4 3 4 5 5 4 2 1 1 3 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 10 12 12 11 10 9 8 6 4 3 3 1 1 2 3 3 3 4 3 2 2 1 3 4 6 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 6 7 8 8 7 6 5 5 6 7 8 8 7 6 5 4 4 4 5 5 5 4 4 4 2 2 2 1 1 2 3 6 7 8 7 6 5 5 6 6 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 5 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 5 6 6 7 6 9 12 9 11 15 15 15 11 10 7 6 7 2 -4 -8 -9 -7 -2 3 3 4 5 5 5 6 7 9 9 8 8 7 7 8 9 8 3 -1 -2 -1 -0 -1 4 7 7 6 5 8 3 -0 -1 -1 0 3 11 7 6 14 18 12 9 8 7 7 4 2 4 10 12 6 3 7 9 11 15 12 5 3 2 -1 2 9 8 2 0 6 13 9 3 12 21 16 4 0 1 11 12 9 13 23 27 20 7 -0 -2 2 7 9 6 4 8 20 29 17 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 5 4 4 3 3 3 3 3 4 4 3 3 4 5 6 5 5 5 4 5 5 4 5 5 6 6 6 6 6 5 4 4 4 3 3 2 3 3 4 5 4 5 4 4 4 4 3 3 2 2 3 6 10 11 10 7 5 5 4 4 5 5 4 3 2 2 2 2 3 2 2 2 2 2 2 1 1 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 2 2 3 3 4 5 7 7 8 8 7 7 6 4 4 4 3 2 2 3 2 3 3 5 5 4 4 4 5 6 7 7 7 6 6 5 4 3 3 4 4 3 2 2 2 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 8 10 11 11 10 10 10 8 6 5 4 3 2 2 2 2 3 4 4 4 2 2 2 4 4 4 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 6 5 5 5 6 6 7 7 6 6 5 5 6 7 8 7 6 6 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 5 6 7 7 7 7 7 5 3 3 3 3 3 3 4 4 4 5 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 6 7 7 7 7 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 10 13 11 12 11 9 8 9 9 7 11 17 12 7 3 4 6 8 9 8 7 6 4 3 4 6 8 10 10 10 9 7 8 8 7 3 0 -0 1 6 8 6 4 1 3 6 5 3 4 6 5 4 8 13 5 3 7 5 2 5 6 8 8 5 1 4 15 17 8 5 11 13 17 16 10 4 2 -0 2 8 9 5 3 3 8 11 7 6 10 12 8 6 5 -1 5 18 23 21 21 18 8 -1 -1 -1 2 8 9 5 4 9 23 26 13 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 3 3 3 3 2 1 2 3 5 7 9 8 6 5 4 4 4 4 3 3 3 2 2 2 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 2 2 3 3 4 5 6 7 8 7 7 7 6 5 4 4 4 4 4 4 3 1 3 6 6 5 4 4 4 5 6 7 6 7 7 6 5 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 6 9 9 9 10 11 10 10 8 6 5 5 4 3 2 2 2 3 3 4 3 3 3 5 5 4 4 4 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 4 5 5 4 4 5 5 5 6 5 5 5 5 6 7 8 8 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 3 4 4 6 7 8 9 8 6 4 3 3 2 3 3 4 5 5 5 6 6 5 5 3 3 2 2 2 3 3 3 2 2 2 2 2 3 3 3 4 3 3 3 4 4 4 5 6 7 7 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 5 5 6 6 8 12 15 13 8 5 4 6 9 11 13 23 33 24 16 13 13 13 11 10 8 7 6 5 3 3 4 7 11 12 12 11 9 8 7 7 5 3 1 3 9 13 10 4 1 5 6 1 4 11 15 8 5 13 8 -2 1 5 -0 -1 3 2 7 15 10 -1 0 12 14 12 15 16 15 19 18 12 4 -0 -3 4 10 5 -2 2 8 9 6 7 6 3 5 7 7 8 -1 -7 11 31 27 15 5 -5 -4 -0 -0 3 9 9 6 5 8 18 24 14 5 6 6 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 3 2 2 2 2 3 3 3 4 4 5 4 3 3 4 4 4 3 3 3 2 2 2 2 2 3 3 4 5 5 4 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 3 3 4 5 6 7 7 7 7 6 5 4 4 5 6 5 5 4 3 5 6 5 5 5 4 4 4 5 5 6 6 7 7 6 5 5 5 5 4 4 5 6 6 5 4 4 3 3 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 7 8 9 10 11 11 11 8 7 6 6 5 5 4 3 2 1 2 4 4 4 5 5 5 6 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 4 4 5 5 5 4 3 4 5 6 6 6 5 5 7 8 8 7 7 6 6 5 4 3 3 3 3 3 3 3 4 4 3 3 2 2 3 5 6 8 8 9 8 6 4 3 3 3 3 3 4 4 5 6 7 7 6 4 2 2 2 2 2 2 3 2 2 2 3 2 3 3 3 3 4 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 5 6 7 9 12 17 17 11 5 4 5 6 9 11 15 21 24 12 7 9 10 11 11 9 8 7 8 7 6 5 5 7 12 14 13 12 11 9 7 7 6 4 2 2 5 8 7 5 7 9 7 5 8 13 11 5 8 21 5 -4 4 5 1 6 9 3 6 14 9 -1 -0 5 9 14 22 20 15 15 18 15 5 -2 -4 2 7 1 -3 7 16 11 9 12 5 -5 2 15 15 11 3 -7 8 34 25 8 -8 -11 0 5 3 6 10 7 5 5 7 14 25 20 7 5 6 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 3 3 3 3 3 4 4 3 3 2 2 2 3 3 2 1 2 2 2 2 2 2 2 1 2 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 2 3 3 5 5 6 6 7 7 6 6 5 5 6 7 6 4 6 7 6 6 6 5 4 4 4 4 4 4 5 5 6 7 7 7 6 6 6 5 5 5 6 6 6 5 5 5 4 3 3 3 2 2 1 0 1 1 2 2 2 3 3 3 3 4 4 4 5 6 9 10 11 11 11 9 8 7 7 7 6 5 4 3 2 2 3 3 3 5 6 7 7 6 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 3 4 5 6 6 5 4 4 4 6 7 7 6 5 6 8 8 8 7 7 7 7 5 3 2 2 2 2 3 3 3 4 4 3 3 2 2 3 6 6 6 7 7 6 5 4 2 1 1 1 2 2 3 4 6 7 8 7 4 2 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 6 6 6 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 6 6 10 15 18 17 13 7 4 4 5 6 9 10 11 6 -4 -9 -5 3 7 9 10 9 8 8 8 9 9 8 7 8 12 15 16 16 13 10 9 8 3 0 2 5 5 2 2 7 12 12 9 6 3 0 1 8 16 20 5 1 7 5 5 14 14 6 6 7 2 2 5 4 7 13 17 17 15 12 10 10 3 -0 0 4 5 -0 2 11 14 12 14 11 3 -1 3 13 17 13 14 6 18 33 20 -5 -20 -7 16 20 15 14 12 7 4 5 7 14 24 22 9 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 3 2 2 1 1 3 3 4 4 3 3 4 5 6 6 5 4 4 3 4 5 5 5 4 3 3 3 3 3 3 4 3 3 3 3 2 3 3 3 2 2 2 1 2 2 2 2 2 2 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 3 3 2 3 4 5 6 6 7 6 7 7 7 7 8 9 6 4 6 7 7 7 7 6 5 4 4 4 3 4 4 4 5 6 7 7 7 7 6 6 5 5 6 6 5 6 6 6 5 4 3 3 2 2 1 0 -0 0 1 2 2 2 3 4 4 4 4 4 4 5 8 11 11 10 10 10 9 8 8 8 8 8 6 5 3 2 2 2 2 3 6 9 9 8 6 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 1 2 4 6 7 7 5 4 4 6 7 8 7 5 5 7 8 7 7 7 7 8 8 6 5 4 3 2 1 2 2 3 4 4 3 3 2 3 6 6 5 4 5 5 4 3 2 1 0 0 0 1 1 2 4 6 8 9 7 3 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 6 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 7 11 16 17 12 8 6 4 4 5 6 9 8 2 -6 -17 -10 0 6 9 10 9 7 8 8 8 9 9 9 9 9 12 16 19 18 13 9 9 9 2 -1 3 7 8 4 3 6 8 8 9 3 -5 -7 -5 2 14 10 0 2 6 4 8 19 12 1 2 2 4 10 10 8 10 11 10 10 12 12 7 4 -3 2 8 7 7 3 6 4 1 7 12 6 4 8 8 9 6 9 18 17 28 28 11 -16 -20 7 30 33 28 21 14 8 5 4 6 13 23 22 10 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 3 2 2 3 4 4 4 3 3 3 3 3 3 4 4 4 3 3 2 1 1 2 3 4 3 2 2 4 6 9 10 10 9 8 6 6 6 6 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 5 5 5 6 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 6 5 5 6 7 7 8 7 6 5 4 3 3 3 4 5 5 5 6 6 6 7 8 9 11 11 8 5 5 6 6 7 7 7 6 5 4 3 3 3 3 4 4 5 6 7 7 7 7 7 6 6 6 6 5 6 6 6 6 5 5 4 4 2 2 1 1 1 1 2 3 3 3 4 4 4 4 4 4 4 6 9 11 12 11 10 10 9 9 10 11 11 10 8 6 3 2 1 1 2 5 8 9 9 8 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 1 1 1 2 3 5 6 6 5 4 5 6 7 7 6 5 6 7 7 7 7 7 8 9 8 8 8 6 3 1 1 2 3 4 5 5 4 3 4 6 7 6 4 3 3 3 2 1 0 1 0 0 1 1 1 2 4 7 10 10 5 2 0 1 2 2 2 2 2 2 2 3 3 4 3 3 4 4 5 5 5 4 4 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 5 6 7 8 10 15 17 11 8 7 5 4 6 8 8 5 -0 -5 -7 1 7 9 8 7 6 6 7 7 8 8 8 9 10 9 12 18 22 18 10 6 7 8 4 1 4 7 12 11 7 5 3 4 4 2 1 2 -1 -1 4 -2 -3 5 7 3 10 21 9 0 1 2 8 15 9 8 10 7 5 7 7 8 7 3 -2 5 14 11 7 3 -1 -4 -0 8 7 1 4 9 9 7 2 7 12 23 34 24 4 -13 -6 15 27 30 28 21 12 8 7 5 5 10 20 24 13 5 5 5 5 5 4 4 5 5 4 4 4 4 3 4 4 5 6 5 5 4 4 4 4 4 5 5 5 5 5 4 3 2 2 2 3 4 3 3 3 3 3 3 3 3 4 4 3 3 2 2 1 1 2 3 3 2 2 3 5 9 12 14 15 12 10 9 8 6 4 3 3 3 3 3 4 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 8 8 8 7 6 5 5 8 8 9 10 10 8 7 6 4 3 3 4 5 5 5 6 6 6 6 7 8 10 12 10 7 5 5 6 6 7 8 7 7 6 4 3 3 3 3 3 5 5 6 7 7 7 7 7 7 7 6 6 6 5 6 6 6 6 5 4 3 2 2 3 3 3 4 4 5 4 4 5 4 4 4 4 4 4 5 7 11 11 10 11 11 11 11 13 14 15 14 11 7 3 0 -0 1 3 6 8 8 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 2 2 4 5 7 6 4 4 5 6 7 7 6 6 6 7 7 7 6 6 8 8 10 11 9 5 3 1 2 3 4 6 6 5 4 5 7 9 8 5 3 3 2 1 1 1 2 2 3 2 2 1 1 2 5 10 12 9 4 1 1 2 2 2 2 2 2 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 6 7 6 7 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 7 8 9 9 14 18 14 10 7 5 5 8 9 4 2 2 0 2 6 6 6 5 4 4 5 5 6 7 8 9 10 10 11 13 20 22 15 6 3 6 7 7 7 5 4 7 6 6 5 2 -1 -2 3 9 12 10 8 2 -6 -1 4 3 1 7 10 3 8 11 7 9 10 6 7 7 5 8 9 7 6 5 1 5 9 13 10 8 5 -2 -2 4 6 -2 -5 2 8 7 2 1 4 6 26 35 20 2 -5 4 14 16 17 17 14 10 7 6 5 4 10 22 26 14 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 4 5 5 5 6 5 4 4 3 2 2 3 4 4 4 3 2 3 3 3 3 3 4 4 3 3 2 1 1 2 3 3 2 2 2 4 6 9 13 15 14 12 10 7 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 5 5 4 4 5 5 6 6 6 7 7 7 8 9 9 9 9 8 8 7 6 5 6 9 7 9 12 11 10 9 7 5 4 4 5 6 6 6 6 6 6 5 5 6 7 9 9 7 6 6 6 6 6 7 8 8 8 6 4 4 3 3 3 3 4 5 5 6 7 7 7 7 7 7 7 6 6 6 5 6 5 4 3 2 1 2 3 4 5 5 6 6 5 5 5 4 5 4 4 4 4 4 4 6 9 11 13 12 11 11 12 14 16 18 18 13 6 2 0 0 2 4 5 6 7 7 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 3 3 4 6 7 7 6 4 4 5 6 6 6 6 6 6 6 6 6 6 6 7 10 12 11 8 4 2 2 3 4 5 6 6 5 5 8 10 9 6 4 3 3 2 2 2 3 4 5 4 3 2 2 2 4 8 13 12 7 3 2 2 2 2 1 1 2 2 2 2 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 7 6 6 6 6 6 6 5 6 5 5 5 5 5 5 4 4 4 4 4 5 7 8 9 9 13 19 19 11 6 4 7 9 4 0 3 2 0 3 4 4 4 3 3 4 4 5 6 7 9 12 12 12 12 13 17 17 11 4 3 4 3 6 9 7 9 4 3 5 5 1 -4 -2 6 11 8 5 7 11 14 11 3 -2 -1 3 -3 2 10 12 10 11 9 12 13 8 8 14 13 8 6 5 -0 5 12 12 8 7 2 -5 5 17 10 -5 -6 2 5 1 -1 1 2 5 23 29 17 4 3 10 13 12 11 10 8 6 6 5 4 5 12 22 19 7 5 7 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 5 4 3 3 4 4 4 4 3 3 4 3 3 3 4 4 5 4 3 2 1 1 2 2 3 3 2 1 2 3 5 8 10 12 11 9 6 4 4 4 4 4 5 4 4 4 4 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 6 6 6 7 7 7 8 8 9 9 9 9 9 8 8 7 6 5 6 7 5 8 11 11 9 8 7 6 4 4 5 7 8 8 8 7 5 4 4 5 5 6 7 7 7 7 7 7 7 7 8 9 9 8 6 5 4 3 3 2 3 3 4 5 5 6 6 7 7 7 7 7 6 6 6 6 5 4 3 2 1 2 3 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 2 3 6 11 13 12 11 10 11 12 15 17 18 16 10 6 3 1 1 2 3 4 5 6 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 5 5 4 6 8 10 9 6 4 4 4 5 5 5 5 5 5 6 5 5 4 5 7 10 11 8 5 3 3 3 3 4 5 5 6 6 7 9 9 6 5 4 4 3 4 4 4 4 5 5 4 3 3 4 4 7 13 16 11 5 2 2 2 2 1 1 1 1 1 1 2 3 4 4 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 6 6 6 7 6 6 6 6 5 6 6 6 6 6 6 5 5 4 4 4 5 6 7 8 8 9 14 23 22 12 5 6 9 7 -2 -3 1 1 1 3 3 3 3 3 4 4 5 5 6 7 12 16 13 12 12 10 12 13 9 6 5 4 2 2 1 5 9 9 5 6 6 2 -1 3 7 5 1 2 2 10 22 22 11 2 0 3 -1 5 6 5 6 13 14 19 14 8 10 15 13 7 2 -0 -1 2 9 11 4 0 -6 -5 15 31 16 -3 -3 1 -3 -6 -0 3 3 8 19 22 15 8 9 14 14 12 10 7 6 6 6 5 3 5 10 14 7 4 10 13 8 6 6 6 5 5 5 5 4 4 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 3 4 5 5 5 3 2 1 1 1 2 3 3 2 1 1 2 3 4 6 9 10 8 6 4 4 4 4 4 4 4 4 5 4 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 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 9 11 10 9 8 7 6 4 4 5 7 8 9 9 7 6 5 5 5 5 5 6 7 7 7 7 7 8 7 7 7 8 9 9 8 7 5 3 2 2 2 3 3 4 4 5 6 7 7 6 7 7 7 7 6 6 5 5 4 3 3 4 5 5 6 6 6 6 6 5 4 4 4 4 4 5 4 2 1 3 8 10 10 9 9 11 12 13 15 16 16 15 11 7 3 1 1 2 3 4 4 5 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 4 4 4 5 5 6 9 12 11 8 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 8 8 6 4 3 3 2 3 4 4 4 5 6 6 6 6 5 5 6 6 6 6 5 4 3 4 4 4 4 5 5 8 13 18 14 7 3 3 1 1 1 1 0 -0 -0 0 1 2 3 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 7 8 8 8 10 16 26 24 12 5 7 9 6 1 3 1 2 2 4 4 3 4 4 4 5 5 5 6 12 18 15 11 12 10 7 8 10 10 8 6 4 2 -1 -0 4 3 5 7 6 6 4 3 6 6 3 8 8 -2 1 14 17 13 7 2 3 4 4 4 3 3 7 16 16 10 8 13 15 12 7 3 2 3 4 5 4 4 2 -4 -2 15 24 12 3 2 2 -3 -3 2 5 7 12 15 14 13 12 13 14 13 11 8 6 5 6 6 4 3 4 7 7 5 6 14 22 16 6 6 6 6 5 5 5 5 5 4 4 5 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 4 3 4 4 5 5 4 4 4 4 4 6 6 5 4 2 1 1 1 3 4 4 3 2 2 2 3 4 5 6 8 8 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 6 6 6 5 6 6 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 11 12 12 10 8 8 6 5 3 3 6 7 8 8 8 7 7 6 6 6 6 6 6 7 7 6 7 7 7 7 7 6 7 8 11 12 12 10 7 3 2 2 2 3 2 2 4 4 5 5 6 6 7 7 7 7 7 6 6 5 5 5 6 7 6 5 5 5 6 6 5 5 4 4 4 4 5 5 4 1 2 4 6 8 8 8 10 13 14 13 14 14 16 15 11 6 2 1 1 3 4 3 4 5 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 9 6 5 5 5 5 5 8 11 11 8 6 5 4 4 4 4 5 6 5 5 5 5 4 4 4 4 5 6 5 4 3 3 2 3 3 3 4 4 4 4 5 6 6 7 8 8 7 6 5 3 3 3 3 3 4 4 6 8 13 18 17 10 4 2 1 0 -0 -1 -1 -1 -1 -1 -0 1 2 3 4 4 4 4 3 3 3 3 2 2 2 2 2 3 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 5 5 4 5 7 8 8 7 8 11 20 27 23 12 6 7 7 7 13 18 6 3 2 3 4 4 4 4 5 5 5 5 10 19 21 12 11 13 8 8 10 12 12 9 5 1 -1 1 7 8 2 3 8 6 6 6 4 7 5 9 21 9 -3 5 13 8 7 5 3 5 4 3 6 5 4 2 6 5 8 13 17 15 11 8 7 8 8 10 9 6 7 6 -1 -3 2 7 8 12 11 4 3 6 6 10 14 14 11 9 10 14 14 13 11 9 7 5 4 5 5 3 2 4 6 6 5 7 15 26 20 7 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 6 6 7 6 6 5 5 4 4 4 5 6 6 5 5 5 5 6 6 5 4 3 2 1 2 3 4 4 3 3 3 2 2 4 5 5 5 6 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 11 12 14 14 14 14 12 11 10 11 12 14 14 11 9 9 9 7 3 1 3 6 6 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 9 14 18 17 12 8 4 2 2 3 2 2 3 4 4 4 5 5 6 7 7 7 8 7 6 6 6 6 7 7 6 5 5 5 6 6 6 5 5 4 5 5 5 5 4 2 1 2 4 5 6 6 8 12 15 15 14 13 14 15 13 9 5 2 1 2 3 3 3 3 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 13 12 9 7 6 6 5 5 6 8 9 7 6 6 5 5 4 5 5 5 5 5 6 5 5 5 5 5 4 5 5 4 3 3 3 3 3 4 4 4 4 3 3 4 6 8 10 11 9 6 4 3 3 2 2 2 3 4 6 8 12 17 17 11 5 2 1 -1 -1 -1 -2 -2 -2 -1 -1 1 2 2 3 4 4 3 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 7 9 9 7 7 9 14 23 28 20 10 5 5 6 11 19 16 6 1 1 1 2 3 4 5 6 6 5 7 15 21 17 10 11 10 9 12 13 15 14 9 5 2 -1 5 13 11 3 6 8 6 4 5 5 6 5 13 23 7 1 13 11 3 2 2 4 6 4 3 5 8 10 6 0 -1 7 15 18 16 11 7 5 6 7 10 12 10 7 5 4 -3 -10 -1 4 12 16 9 4 3 5 9 13 12 7 4 9 15 16 13 10 8 7 4 4 5 4 2 2 5 6 5 6 8 14 24 22 9 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 6 6 7 7 6 5 5 5 4 4 5 6 6 6 5 5 6 6 6 5 4 3 3 2 3 3 3 4 3 3 3 3 2 4 5 5 4 5 6 7 7 7 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 5 6 6 6 7 7 8 8 8 8 8 11 13 16 18 18 16 14 12 11 12 14 15 14 13 10 7 7 9 8 3 1 3 4 5 6 6 6 7 7 7 7 7 6 6 5 5 5 6 6 7 8 6 6 8 8 7 8 12 18 21 17 10 5 4 3 2 2 2 2 2 2 3 4 5 5 6 6 7 8 8 7 7 6 6 7 7 5 5 5 5 6 6 6 6 6 5 5 5 5 6 5 3 1 1 2 3 4 5 6 9 13 17 17 13 12 13 13 10 7 3 1 2 3 3 3 3 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 12 12 10 8 7 6 6 5 4 5 6 7 6 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 6 9 12 10 7 4 2 2 2 2 2 3 4 5 7 11 14 16 12 7 3 2 1 -1 -1 -2 -2 -2 -1 0 1 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 3 3 4 5 5 6 6 6 6 6 6 7 7 7 7 8 10 10 7 6 8 12 19 27 26 15 6 2 1 7 11 10 2 -0 -2 -1 0 2 3 4 6 7 7 7 10 16 16 10 8 8 8 9 12 14 17 17 11 8 5 1 3 8 8 3 3 2 4 3 3 4 4 8 13 14 2 4 11 6 3 2 3 7 8 5 2 2 6 13 13 7 5 7 12 16 15 10 4 -1 -1 4 9 13 12 6 1 7 2 -9 -2 5 10 14 9 1 4 11 13 11 7 0 1 10 16 15 12 9 9 7 5 5 5 3 1 2 5 6 5 5 7 14 24 24 11 5 6 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 6 5 5 4 3 3 3 3 3 3 4 3 3 3 3 4 5 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 5 6 6 5 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 7 8 10 13 17 19 21 20 17 13 12 13 16 17 15 12 9 7 4 4 8 9 4 1 3 4 5 5 6 6 6 6 6 5 4 4 4 4 4 4 5 5 6 9 7 5 7 9 8 7 9 15 22 21 15 10 5 3 2 2 2 2 2 2 2 3 3 4 4 5 5 7 7 7 7 6 6 6 5 5 4 4 5 5 6 7 7 6 6 6 6 6 6 5 4 2 1 0 1 3 5 5 6 9 14 18 18 14 12 11 9 6 4 2 1 2 4 4 4 6 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 10 10 10 8 8 7 6 4 4 5 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 8 11 10 8 4 2 2 2 2 3 3 4 5 6 8 11 13 12 9 7 5 4 2 1 -1 -1 0 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 8 8 9 11 12 9 6 6 11 20 28 32 23 10 3 -2 -3 6 6 -0 -3 -2 -3 -2 0 2 3 4 7 9 9 8 11 15 13 9 8 7 6 6 7 10 15 15 11 9 7 3 3 4 7 5 1 0 2 4 3 3 4 10 12 3 -2 5 5 4 4 5 7 9 8 5 2 1 5 13 15 10 8 7 10 14 11 9 -1 -5 -2 3 9 14 13 4 1 9 11 4 2 10 12 7 1 3 13 19 14 7 0 -1 5 13 13 13 10 9 9 7 6 5 5 3 1 3 6 5 4 4 7 17 28 24 10 4 5 6 7 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 6 7 8 8 9 8 8 7 8 12 15 18 20 20 20 18 15 14 16 17 16 12 8 6 4 2 3 6 9 8 7 6 5 5 5 5 6 6 6 5 4 4 3 3 3 4 4 4 4 5 6 7 5 7 8 8 7 6 9 16 22 24 22 11 2 0 1 2 2 2 2 2 3 3 3 3 4 5 5 6 6 5 5 5 5 5 4 4 4 3 4 5 6 6 7 6 6 6 7 7 6 5 4 2 -0 -0 2 4 4 4 6 10 15 19 19 15 12 9 6 4 3 2 3 5 5 5 7 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 8 10 10 9 10 10 9 8 6 5 5 6 7 7 6 5 6 6 7 6 5 5 4 4 4 4 5 6 6 7 7 6 6 5 5 5 5 5 6 6 7 8 8 7 6 5 6 9 10 8 5 2 2 2 3 3 3 4 4 6 7 8 9 10 9 9 8 7 6 4 2 2 2 2 3 3 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 2 2 3 4 4 5 5 5 5 6 7 8 10 12 13 11 5 6 12 21 30 36 30 17 7 -0 -7 -6 3 0 -5 -5 -3 -3 -2 1 3 3 4 6 8 9 9 10 12 13 13 12 10 8 6 4 4 8 11 9 10 9 8 6 10 11 8 8 6 3 2 1 3 7 11 8 -1 7 15 5 4 4 5 6 7 6 5 2 0 3 10 11 8 8 7 9 9 6 7 -3 -1 5 5 6 9 7 1 3 11 14 12 6 11 11 1 -3 3 12 12 11 4 -1 8 19 17 10 10 9 8 8 7 6 5 5 4 4 5 5 5 4 4 11 25 30 18 7 4 6 6 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 6 6 5 5 5 4 4 4 4 4 5 6 8 8 9 9 9 8 7 8 10 14 16 17 17 16 17 18 16 14 16 16 12 9 7 5 4 4 5 6 7 10 11 8 6 5 5 5 5 6 5 5 5 4 4 4 4 3 3 4 4 4 5 5 5 6 8 8 8 7 6 9 18 27 30 20 7 2 1 2 2 1 2 2 3 3 2 3 3 3 4 5 5 5 4 4 4 4 4 3 3 3 3 4 6 6 6 6 6 7 7 7 7 6 6 4 2 -0 1 2 4 3 4 6 10 14 18 19 16 13 10 8 6 4 4 5 5 6 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 7 8 9 9 10 10 10 10 8 7 6 7 8 9 7 6 5 6 7 7 7 6 5 5 4 4 4 5 6 6 7 7 7 6 6 5 5 5 5 5 6 7 7 7 6 5 5 7 10 9 5 3 2 3 3 3 3 3 4 5 6 7 7 7 8 8 9 9 9 8 6 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 4 4 5 5 5 5 8 9 11 13 11 6 4 11 22 30 31 26 19 11 6 -0 -8 -3 0 -4 -6 -4 -4 -3 -1 1 3 3 4 6 6 7 8 10 12 15 17 15 13 13 10 5 2 6 9 7 7 11 10 7 12 9 9 8 8 6 1 -1 5 11 8 3 8 20 19 8 5 3 2 4 5 5 4 1 -2 -0 3 5 6 6 9 9 4 4 6 2 5 10 9 7 5 0 -1 5 7 1 2 6 10 10 2 2 5 8 9 9 0 1 19 28 18 9 9 9 8 7 8 7 7 6 4 5 5 4 4 4 6 16 31 27 11 4 5 6 6 7 7 6 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 5 5 6 6 7 7 6 6 5 5 5 5 4 4 3 3 3 4 6 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 7 7 7 7 6 6 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 6 7 8 9 9 9 8 8 7 8 12 15 15 13 12 11 12 15 15 13 12 12 9 7 7 6 6 7 6 6 6 10 13 10 7 6 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 5 6 8 3 3 6 7 8 8 7 7 12 22 27 23 13 6 2 1 1 2 2 3 4 3 2 2 3 3 3 4 5 5 4 4 4 5 6 5 4 2 2 3 5 6 6 6 6 7 7 8 7 7 7 7 4 1 0 1 3 3 3 4 6 8 11 14 16 17 18 15 10 7 6 5 5 6 6 9 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 4 6 7 9 10 11 11 11 10 8 8 7 7 9 8 7 6 5 6 6 7 7 6 6 5 5 5 5 5 6 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 5 6 7 9 9 6 3 4 4 4 4 3 3 4 5 5 6 6 6 6 6 7 8 9 10 9 6 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 5 7 9 10 12 12 7 3 8 18 26 28 22 13 6 6 8 8 4 7 1 -4 -5 -4 -4 -2 -0 2 3 3 4 6 6 6 7 10 14 19 18 13 12 15 13 8 5 7 8 5 4 10 11 8 8 7 7 8 13 8 0 0 7 9 3 3 12 14 6 10 6 3 1 3 6 6 6 3 -2 -4 0 4 4 3 7 6 3 11 6 4 5 10 13 12 5 -1 -1 6 8 1 -1 4 13 12 6 7 4 3 17 11 2 10 23 23 14 9 9 9 9 8 8 9 8 6 4 4 4 4 4 4 9 22 31 21 7 4 5 6 6 7 7 6 6 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 6 5 5 5 6 6 6 7 6 6 6 5 5 5 4 3 3 3 3 4 5 6 5 5 4 4 5 4 4 4 4 4 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 6 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 6 6 7 8 9 9 9 8 8 7 8 10 13 14 12 11 9 7 6 10 12 11 9 8 7 7 6 7 7 7 8 8 6 7 10 9 6 6 6 6 6 6 5 5 3 3 4 4 4 5 5 5 4 5 7 10 5 1 5 6 7 8 8 9 10 14 18 20 16 10 4 -0 0 4 5 8 9 7 4 3 3 2 3 4 5 5 4 5 7 8 8 8 5 3 1 2 4 5 5 5 5 6 7 7 7 7 7 8 7 4 2 1 2 3 2 2 3 4 6 9 11 14 20 22 17 10 8 7 5 5 7 10 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 3 5 7 8 9 10 11 11 10 9 7 6 7 8 8 7 6 5 5 5 6 6 6 6 5 5 5 5 6 6 6 7 7 6 5 5 6 7 8 7 6 6 5 5 5 6 8 9 9 7 5 4 5 5 4 3 3 4 5 5 5 6 5 5 5 4 6 8 10 10 8 5 4 3 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 7 9 10 10 11 9 5 6 13 18 20 23 21 11 2 4 15 19 18 14 3 -4 -6 -6 -4 -2 1 3 3 5 6 7 6 7 9 13 18 21 16 9 10 14 14 11 9 7 6 4 5 7 9 10 9 11 3 5 9 3 -1 6 9 5 -1 2 3 0 -1 6 4 0 1 5 7 5 6 6 2 -2 0 4 5 2 1 0 4 12 4 2 1 9 13 9 5 4 4 7 12 16 13 3 6 10 10 6 1 5 15 10 14 21 20 14 10 9 8 9 9 8 9 9 7 5 3 2 3 4 4 5 13 26 29 16 6 5 5 6 6 7 7 6 6 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 3 3 4 5 6 6 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 8 8 9 9 9 8 8 7 7 9 12 14 13 10 9 10 9 4 4 8 9 9 8 7 6 6 7 8 8 9 9 7 2 2 5 6 6 6 6 6 5 5 6 4 3 3 3 3 4 4 4 5 5 6 6 5 3 5 6 6 7 9 10 11 11 13 16 16 12 5 1 0 4 13 21 21 16 11 8 6 5 4 6 6 5 4 5 7 9 10 10 9 5 1 1 2 4 5 5 5 6 6 6 6 7 7 8 8 7 4 3 2 3 2 1 1 2 2 4 6 10 15 21 20 15 11 9 7 5 5 8 12 12 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 2 0 1 2 3 4 5 7 9 10 11 11 9 8 7 7 8 8 8 6 4 4 5 6 6 6 5 5 5 6 6 6 7 7 7 6 5 6 8 10 10 9 7 6 5 5 5 6 7 9 9 7 5 5 5 6 5 4 3 4 5 5 5 5 5 5 5 5 6 7 8 9 8 6 5 5 5 5 5 5 5 4 4 3 2 3 4 4 4 4 4 3 2 3 3 3 3 3 3 3 2 3 4 4 4 4 6 9 11 11 12 12 8 7 11 11 9 13 21 24 18 9 8 13 16 13 7 -2 -7 -8 -6 -3 -0 1 3 5 6 7 7 9 13 16 18 19 18 12 11 11 12 13 13 10 7 6 5 6 7 5 1 1 6 1 -1 -2 -3 3 12 10 1 -2 2 -0 -1 3 -0 -3 -4 -1 6 6 3 4 6 7 3 3 8 8 5 1 -0 3 6 5 3 -2 3 9 6 6 8 9 10 12 15 12 1 -2 7 15 6 1 11 6 5 21 21 14 9 8 9 9 8 8 9 9 7 5 3 3 3 4 4 4 5 13 26 28 14 4 5 6 6 7 7 7 7 6 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 6 6 6 7 7 6 5 5 5 5 4 4 4 4 4 3 4 4 5 6 5 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 5 5 4 4 4 4 4 4 5 5 6 7 8 8 9 9 8 8 8 7 7 8 8 11 14 13 11 8 6 9 15 12 6 7 7 8 8 8 6 7 12 12 8 8 9 7 2 1 4 6 6 6 6 6 7 6 6 7 6 5 4 4 3 3 4 5 5 6 4 3 4 5 5 6 6 7 11 14 15 13 14 15 12 8 4 3 5 15 25 28 23 17 12 8 7 8 9 8 6 5 5 6 6 8 10 11 9 4 -1 -0 2 4 6 6 6 7 6 6 6 7 8 9 8 7 5 3 3 2 1 -0 -0 0 2 4 7 11 16 20 20 16 11 9 4 3 6 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 7 3 1 0 1 1 2 4 7 10 11 12 11 10 9 8 8 9 9 9 6 4 4 5 6 6 5 5 5 6 6 6 7 6 6 6 6 7 8 10 10 9 7 6 5 6 7 7 8 9 8 7 5 5 5 6 6 4 3 3 4 5 5 5 5 5 6 6 7 8 8 9 8 6 5 5 6 6 7 6 5 4 3 3 3 4 4 5 6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 8 13 16 17 17 14 8 5 9 7 4 10 19 20 18 18 13 7 1 -2 -6 -10 -10 -7 -3 -1 1 2 4 6 7 8 9 13 18 19 15 13 11 9 14 12 11 15 14 9 9 8 4 3 6 2 -5 -1 2 3 1 -1 2 10 14 8 1 0 2 1 1 1 -5 -5 -4 -2 6 6 4 2 5 10 9 10 15 13 10 7 5 2 3 15 9 -1 0 3 3 7 8 11 11 9 7 6 3 4 12 13 5 2 9 7 10 22 18 10 7 8 9 9 8 8 9 8 5 3 3 4 6 5 5 4 5 11 25 28 15 5 6 7 6 6 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 7 6 5 5 4 4 4 4 4 4 5 4 4 3 4 5 6 5 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 9 9 9 8 8 8 7 7 6 7 9 10 13 14 12 9 5 0 -0 11 15 10 8 7 7 7 7 5 6 14 18 11 7 8 6 3 3 6 7 7 7 6 7 7 7 7 7 8 8 6 6 6 5 5 4 4 4 3 2 3 4 4 4 5 6 9 15 18 17 14 14 14 12 9 8 7 9 14 19 20 17 12 8 5 7 9 8 6 5 5 5 4 5 8 12 11 7 1 -1 1 4 5 6 6 6 6 6 5 7 7 8 9 8 6 5 3 2 1 -0 -1 -0 2 5 7 9 12 15 18 16 13 10 6 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 8 5 2 1 0 0 2 5 7 9 11 12 12 10 9 9 9 10 10 9 8 7 6 6 6 5 4 4 5 5 6 5 5 5 6 6 7 7 7 8 7 6 6 6 7 8 9 9 8 7 6 5 5 6 7 6 5 4 3 4 4 5 5 5 6 6 7 8 9 9 8 7 6 5 5 6 7 7 6 6 4 3 3 4 4 5 6 6 6 5 3 3 2 2 1 2 2 3 4 4 3 4 4 4 7 13 17 19 19 16 11 5 -0 4 6 3 8 12 11 12 15 8 -4 -13 -13 -12 -10 -7 -3 -0 1 2 3 5 7 8 10 14 19 20 14 9 8 7 7 9 7 7 14 12 8 7 8 7 7 8 4 5 9 7 4 3 4 8 9 9 9 3 2 3 4 3 -1 -1 3 3 1 5 6 3 2 6 12 11 14 19 17 13 11 6 0 3 15 11 6 5 0 1 7 9 9 6 4 5 4 4 9 18 9 6 11 15 16 16 19 16 10 8 9 8 7 7 8 8 7 4 3 4 5 6 6 5 4 4 10 24 30 17 7 7 7 6 6 6 6 6 5 5 4 4 5 4 4 5 5 4 4 4 5 4 5 4 5 6 6 6 7 6 5 4 3 3 3 3 4 5 5 5 4 3 3 5 6 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 7 8 9 9 9 9 8 7 7 7 7 7 8 10 12 14 13 11 7 4 -1 -6 0 9 10 8 7 6 6 5 1 -2 5 16 15 9 6 2 1 4 7 7 6 6 6 7 7 7 8 8 9 8 8 8 8 8 6 5 5 4 4 3 3 3 3 4 4 6 8 11 13 13 14 14 13 13 11 10 8 6 6 9 13 14 11 7 3 3 5 6 5 4 5 5 5 5 6 9 11 9 5 1 1 3 5 5 5 6 6 6 6 6 7 8 9 9 8 6 4 3 2 1 -0 -0 2 4 5 7 8 10 10 11 11 11 10 9 8 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 12 9 6 3 1 0 1 2 4 6 8 10 11 11 10 9 9 9 10 10 10 9 9 8 8 6 5 4 4 5 5 4 4 5 5 6 6 5 5 5 5 5 6 6 7 9 11 11 9 6 5 5 5 7 8 7 5 4 3 3 4 4 5 5 5 6 7 7 8 8 8 7 6 5 5 5 6 7 7 6 4 4 4 4 4 4 5 7 7 6 4 2 2 2 1 1 1 2 4 4 4 4 4 6 14 21 20 14 10 6 4 2 2 2 3 3 4 2 1 4 -1 -13 -20 -16 -11 -7 -4 -2 0 1 1 2 4 6 8 12 16 19 20 16 10 10 11 10 6 2 -0 -1 10 11 8 5 6 11 15 12 6 8 11 7 4 4 6 10 6 5 13 7 1 4 8 6 4 6 8 7 4 4 5 3 4 8 10 9 9 16 17 14 11 7 5 7 8 6 8 7 1 2 6 7 4 -0 1 5 8 9 11 12 7 13 22 24 28 27 17 12 10 9 8 7 7 7 8 7 6 4 4 4 5 5 6 5 4 4 12 26 29 17 8 7 7 6 6 6 6 6 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 4 4 3 3 2 2 3 5 5 5 4 3 3 4 5 5 4 4 4 5 5 5 6 6 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 3 4 4 5 5 5 6 7 7 9 9 8 8 7 7 7 7 7 8 8 9 11 14 15 13 9 6 5 3 0 -0 4 7 7 7 5 5 4 -1 -8 -6 7 13 10 4 -1 0 5 7 6 5 5 5 6 6 7 8 8 9 8 8 8 9 9 7 6 6 6 5 4 2 2 3 4 4 6 6 7 7 6 7 9 11 11 10 11 10 8 7 7 10 11 11 8 4 3 3 4 4 3 4 5 5 5 5 6 8 9 8 5 3 4 5 5 4 5 6 6 6 5 6 7 9 9 9 7 5 5 4 3 2 1 1 2 3 3 5 6 6 6 8 10 11 11 9 8 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 6 8 10 12 11 9 9 9 9 11 12 11 9 8 5 4 4 5 6 7 9 10 11 12 11 9 7 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 8 9 10 11 10 8 6 5 6 7 8 7 6 5 4 4 4 4 4 5 6 8 9 8 6 4 3 4 5 6 6 7 7 7 8 7 7 7 7 8 9 9 8 8 9 9 9 8 7 7 5 6 7 7 3 -2 -6 -5 -4 -3 7 15 13 12 9 8 7 1 -4 3 8 3 1 -2 -2 1 3 5 6 7 8 9 11 14 21 26 23 19 15 11 7 5 4 7 7 4 3 3 7 11 14 13 14 12 7 3 -0 3 4 2 3 3 2 4 10 8 -1 -3 3 4 5 8 6 5 6 10 11 7 2 2 3 4 6 6 8 11 11 10 14 20 21 14 6 10 10 5 6 9 11 10 9 6 1 1 7 8 4 6 14 17 14 11 9 6 2 1 4 9 10 9 7 7 5 5 5 4 5 8 10 9 8 4 2 2 3 4 4 5 7 10 18 24 21 15 9 6 6 6 4 4 4 5 5 6 5 5 4 5 5 5 5 5 4 5 6 6 6 5 4 3 3 3 3 4 5 4 4 4 4 4 2 4 6 8 7 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 4 3 3 3 3 3 4 5 5 5 6 8 12 15 16 16 14 10 6 2 2 5 7 7 6 5 4 5 5 6 6 4 4 5 5 2 3 5 6 7 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 5 6 7 8 9 9 8 8 8 8 8 8 7 6 4 3 3 4 6 6 6 5 5 3 2 2 2 3 3 4 5 5 6 7 7 9 9 9 8 8 10 13 13 12 11 11 12 13 15 15 15 13 11 10 9 7 5 4 5 6 6 6 7 7 6 6 6 5 5 5 4 4 5 8 10 10 8 6 6 5 5 5 6 7 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 11 12 10 9 9 10 10 9 9 10 10 10 9 7 5 5 5 6 7 8 10 12 13 12 10 8 7 6 5 5 4 3 3 4 4 4 4 5 6 6 6 6 5 7 8 10 12 13 12 9 6 5 6 6 7 7 6 5 4 4 4 4 4 4 5 7 7 7 6 5 5 4 4 5 5 6 6 7 7 6 6 6 7 8 8 8 8 7 7 8 9 9 9 8 6 8 12 11 5 0 0 3 4 6 12 12 9 6 5 10 13 10 4 6 13 18 23 20 15 14 13 12 11 11 11 11 13 17 20 19 16 14 14 12 8 7 9 11 11 8 6 3 4 6 10 12 12 11 10 7 3 4 4 3 5 5 5 8 9 1 1 3 2 3 5 5 4 4 7 13 16 12 5 7 7 6 5 5 8 11 11 9 11 16 18 14 11 11 6 -0 0 -2 4 10 8 2 -1 4 9 4 4 12 16 14 11 9 7 5 3 3 5 6 8 8 7 6 5 6 6 4 4 7 9 10 9 7 4 1 1 3 3 4 6 9 14 16 18 20 16 10 6 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 7 7 6 5 4 4 3 3 4 5 5 5 4 4 5 4 2 3 7 10 9 7 7 6 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 3 2 3 3 3 4 4 5 5 5 8 12 16 18 17 14 12 9 2 2 5 7 7 6 6 5 5 6 7 6 4 4 5 3 0 2 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 6 4 3 3 4 6 7 7 6 5 4 2 2 3 4 6 7 6 6 7 7 8 8 8 8 9 10 11 12 12 11 11 11 13 16 17 18 19 19 17 15 12 9 8 7 6 6 7 7 7 7 6 6 6 6 5 5 4 4 6 8 8 7 6 5 5 4 4 5 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 9 8 6 7 8 11 12 10 8 8 8 9 10 10 8 6 6 6 6 7 8 9 10 10 10 10 9 8 8 6 5 3 3 3 4 4 4 5 5 6 6 6 5 6 8 10 12 14 13 10 7 5 5 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 4 5 5 6 6 7 6 6 4 4 5 6 7 7 7 6 6 6 8 9 10 10 8 6 4 2 3 3 4 4 5 5 8 12 9 2 8 17 18 11 7 10 16 23 28 29 25 23 20 16 14 13 12 14 16 16 13 9 9 11 12 10 9 12 14 16 15 11 8 6 4 3 5 9 8 8 12 11 9 8 6 7 7 5 9 13 8 0 4 6 4 4 4 4 4 3 6 12 13 12 9 7 6 7 6 4 6 7 6 5 6 8 10 13 15 11 5 2 -1 -2 7 10 4 -4 -6 4 9 4 6 12 11 8 6 5 6 9 11 9 6 6 7 7 5 3 4 8 9 6 5 5 7 8 9 10 8 4 1 1 3 4 5 6 7 10 16 20 18 16 14 6 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 6 5 5 4 4 4 4 5 6 5 5 5 5 4 2 3 7 10 10 9 8 7 6 5 5 5 5 5 4 4 3 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 5 8 12 17 20 18 13 9 5 2 3 6 6 6 6 6 6 6 7 6 4 4 4 4 1 -0 3 7 8 7 8 8 8 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 8 8 8 8 8 6 4 3 4 6 7 8 8 6 5 4 4 5 6 7 8 7 6 6 7 7 7 7 7 8 9 10 11 11 11 12 12 12 13 15 17 18 19 19 18 18 17 16 13 10 8 7 7 6 5 5 5 5 6 6 5 4 4 5 6 6 6 6 5 5 4 4 5 6 6 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 5 4 5 7 9 10 10 9 8 8 8 8 9 9 7 7 6 6 6 6 7 7 8 9 9 10 10 10 8 6 5 4 4 4 4 5 4 5 5 6 5 5 6 8 10 12 13 13 9 6 5 4 4 5 5 6 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 8 5 4 4 4 5 5 6 6 5 5 6 7 8 11 12 10 4 -3 -3 2 3 3 4 3 3 8 14 9 1 12 25 24 12 11 21 23 21 23 25 23 22 20 16 14 13 15 17 17 14 9 8 9 9 9 7 8 10 12 13 15 13 11 8 5 3 1 5 8 10 13 13 12 13 12 14 11 6 8 11 8 6 6 6 7 4 5 8 5 3 7 12 10 13 15 8 4 6 6 3 3 3 2 3 5 6 8 11 13 11 7 4 -4 7 13 5 -3 -10 -7 6 13 11 10 9 8 6 3 2 7 15 17 12 8 8 8 6 4 2 5 9 11 10 7 5 5 5 6 9 11 9 4 2 4 6 5 3 4 6 11 13 16 23 22 10 5 5 4 4 5 5 5 6 5 5 5 4 4 3 3 4 6 7 6 6 5 4 4 4 5 5 6 5 5 5 4 3 1 2 5 9 10 10 9 7 6 6 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 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 7 12 18 21 19 13 7 4 3 5 5 5 6 6 6 6 7 6 5 3 3 3 1 -3 -1 4 7 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 7 7 7 7 6 6 7 7 8 8 8 9 9 9 8 9 9 8 7 5 4 4 6 8 8 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 7 8 9 10 10 11 11 11 11 12 13 14 17 17 16 18 20 24 22 16 13 11 8 6 6 5 5 5 5 6 5 5 4 5 5 6 6 7 7 7 6 6 5 5 6 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 13 18 14 11 8 9 11 13 12 9 7 11 15 19 20 17 12 7 9 12 19 21 19 15 12 6 0 0 4 11 15 15 13 7 6 10 12 13 12 13 14 15 16 14 12 12 12 12 13 16 19 19 17 14 13 11 12 14 14 17 19 20 17 12 11 10 10 11 12 10 9 8 8 10 13 17 19 17 12 9 10 9 9 9 9 9 9 10 10 10 10 9 9 10 12 13 15 15 15 15 11 7 6 7 11 13 14 14 13 13 13 13 14 14 15 14 12 11 11 10 10 10 11 11 10 10 10 11 12 12 13 13 14 14 15 15 14 12 12 11 11 15 18 17 14 12 13 15 15 15 15 15 14 14 15 16 17 17 16 15 14 15 15 15 14 14 13 12 11 10 12 13 12 10 11 11 11 12 12 11 12 14 15 13 12 11 11 12 15 17 16 15 14 13 13 14 13 13 13 12 11 13 14 14 13 11 11 12 19 21 18 17 18 19 19 20 21 23 24 23 23 23 23 24 24 23 21 20 19 20 21 21 21 20 19 18 18 18 18 17 17 16 17 18 17 17 17 18 20 21 22 21 19 17 15 15 15 14 14 14 13 13 13 14 14 13 13 13 13 13 13 13 12 11 10 10 10 10 9 9 10 10 10 10 10 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 10 10 10 10 10 11 11 11 11 11 12 12 13 12 12 12 12 12 12 12 12 11 11 12 11 11 11 11 12 11 12 12 11 12 12 12 12 12 11 11 11 12 11 12 12 11 12 12 11 12 12 12 12 12 12 12 11 13 16 16 14 13 16 16 17 16 14 11 8 7 8 10 12 13 12 11 12 12 12 12 13 14 15 17 21 24 23 19 17 15 14 13 12 13 12 12 11 11 13 14 17 20 20 18 16 14 13 13 13 13 12 11 11 11 12 12 11 11 12 13 13 13 12 12 12 13 14 14 13 13 12 12 13 13 15 15 15 15 14 16 19 21 20 16 11 10 12 14 15 14 13 13 12 14 15 14 12 12 13 13 14 15 15 17 18 17 16 16 14 13 13 12 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 8 7 8 12 16 17 17 15 12 11 7 10 19 17 13 12 13 11 7 6 7 11 16 17 16 11 8 5 8 10 11 12 12 12 12 11 12 12 12 12 13 15 18 19 16 11 9 8 9 11 14 17 20 21 20 16 14 12 10 9 9 8 7 7 6 5 8 12 16 17 15 13 11 11 11 10 10 10 11 11 11 11 11 8 8 9 10 12 14 15 14 13 12 10 8 9 11 13 13 14 13 12 12 13 14 15 16 15 13 12 11 11 9 9 10 9 10 11 11 12 12 12 12 12 13 16 17 14 11 10 12 13 14 14 13 12 12 13 14 15 15 15 13 12 14 14 14 14 16 16 16 15 15 14 13 14 14 14 13 12 12 11 12 13 12 10 10 10 11 11 11 11 13 14 14 13 11 9 7 8 13 22 26 19 16 14 13 13 14 13 12 11 12 14 15 14 13 12 11 13 16 17 15 16 17 18 18 17 17 18 18 19 19 18 19 21 21 20 18 16 15 15 16 18 19 18 16 15 16 17 18 19 19 18 18 18 18 19 17 18 18 20 21 20 19 16 15 14 14 14 13 13 13 13 14 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 11 11 11 10 11 11 10 10 10 10 11 12 14 16 15 13 10 9 9 9 10 10 10 11 12 12 12 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 12 11 12 12 12 12 14 15 14 13 14 17 17 13 10 7 4 3 7 11 12 12 11 10 10 11 11 11 12 12 12 13 17 22 26 25 21 17 14 13 13 13 13 12 12 12 12 14 16 16 15 14 13 12 12 13 13 12 12 13 12 12 12 13 12 12 12 12 13 14 13 11 11 11 13 14 15 14 13 12 12 14 14 15 16 15 14 14 15 20 24 22 15 8 9 12 13 12 11 12 15 16 15 14 14 13 13 13 14 14 15 16 17 17 17 16 16 15 14 14 13 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 7 4 6 14 19 17 10 9 13 19 17 10 8 10 14 16 15 11 8 7 7 9 13 13 12 11 10 9 10 12 11 11 12 16 19 20 16 11 8 7 8 10 14 16 19 20 20 17 13 11 9 7 6 6 7 8 9 9 9 10 12 14 16 14 14 14 14 12 12 12 12 14 15 14 13 11 9 8 9 11 15 16 13 9 8 9 10 12 12 13 13 12 12 12 11 12 13 15 17 16 14 13 11 9 9 8 9 10 11 12 12 12 12 12 12 12 12 15 15 12 11 10 11 13 15 14 12 12 13 15 16 17 17 16 11 9 12 13 15 15 15 17 16 15 13 12 13 13 13 14 14 14 14 13 13 13 12 11 11 11 10 10 10 11 12 13 13 13 12 9 6 3 4 16 28 28 25 20 15 13 13 13 12 11 12 13 13 14 14 15 14 13 13 13 13 15 16 17 17 17 17 18 17 17 17 16 15 15 17 17 16 15 14 12 13 15 17 17 16 16 16 15 16 19 21 19 17 17 17 16 14 13 9 8 11 13 16 16 16 16 15 14 14 14 14 14 14 14 14 14 14 15 14 14 14 13 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 11 11 12 12 12 11 10 10 11 11 12 14 15 16 15 13 10 8 8 8 8 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 10 10 11 11 11 11 12 12 12 13 12 13 12 11 11 11 12 12 12 12 11 12 12 11 11 11 11 12 12 13 14 15 15 15 15 12 8 5 3 5 8 12 13 12 11 10 9 9 11 12 12 12 12 12 13 17 22 28 25 18 13 11 11 13 14 13 11 12 13 13 12 13 12 11 11 11 12 12 12 13 13 13 13 12 12 13 13 13 13 12 12 14 14 12 11 10 12 15 16 15 14 12 12 12 14 15 16 16 16 15 15 16 19 21 19 13 7 9 12 13 13 13 13 14 15 14 13 14 14 14 14 14 15 15 15 16 17 17 17 16 15 14 15 14 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 8 9 16 17 12 6 8 10 12 10 9 8 10 11 11 13 14 13 11 11 13 13 13 11 11 13 15 18 19 17 13 9 6 6 8 11 13 12 17 19 15 11 9 7 6 6 7 9 11 12 12 11 10 10 10 12 13 13 13 13 12 11 12 13 15 15 15 14 13 11 10 9 10 14 15 12 8 7 8 10 13 13 12 11 12 12 11 11 12 13 14 15 16 16 14 11 10 9 8 10 11 13 14 14 14 13 12 12 11 11 11 11 11 11 12 13 13 13 12 12 12 14 16 16 16 16 15 13 10 10 12 13 15 16 16 15 14 12 12 12 12 12 13 14 14 14 14 14 14 13 12 11 11 10 11 11 11 11 12 12 12 12 12 10 4 -0 3 13 23 29 29 23 17 13 13 13 13 12 12 12 13 14 15 15 14 13 12 13 14 16 16 15 16 18 20 20 18 17 18 17 15 16 16 17 16 15 13 13 14 15 17 17 17 16 14 13 16 19 18 16 15 14 13 14 13 10 7 8 10 13 15 16 16 17 16 15 15 15 15 15 14 14 15 14 14 14 14 13 13 12 11 11 11 11 12 11 11 12 12 13 13 13 12 13 13 13 12 11 11 11 12 12 12 11 11 11 13 14 15 16 15 13 9 8 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 13 14 15 16 17 16 13 10 8 8 10 13 14 14 13 12 10 10 10 10 12 12 12 12 13 12 14 18 22 24 20 15 11 11 12 13 13 12 12 12 12 13 12 12 11 11 11 10 11 12 13 13 13 13 11 11 12 13 14 14 15 14 12 13 12 10 9 12 15 16 16 15 13 11 11 12 13 14 15 16 16 16 17 16 16 20 18 12 10 9 10 10 12 13 14 13 12 13 15 15 15 14 14 14 14 14 15 16 17 16 15 15 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 7 12 14 13 12 13 12 10 9 9 10 12 14 16 15 15 14 13 14 15 17 19 18 15 12 7 4 4 6 6 7 11 14 13 12 10 9 9 8 8 10 11 12 11 11 11 11 10 9 9 10 12 13 12 11 12 13 13 13 14 14 13 12 10 9 9 10 9 8 7 8 9 10 11 11 11 11 11 11 11 12 12 13 13 14 15 14 14 13 11 9 9 10 12 13 14 15 15 14 12 10 11 10 10 12 12 12 13 13 13 11 12 12 13 14 15 15 14 14 14 15 14 12 12 13 14 14 15 14 13 13 13 12 11 11 12 13 13 14 14 15 14 14 13 12 12 11 11 11 11 12 12 12 12 12 13 14 11 5 1 1 8 17 32 34 22 15 14 14 13 13 12 12 12 14 15 15 15 14 13 12 13 14 14 13 12 16 22 26 22 18 20 19 17 17 17 15 15 15 14 13 13 13 13 15 15 15 14 13 15 16 16 16 15 15 15 14 15 15 13 11 10 10 12 13 16 17 16 16 16 15 15 15 14 13 14 14 13 13 13 13 13 12 11 12 12 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 13 12 13 13 15 16 17 16 13 11 8 8 8 8 9 9 10 10 10 9 8 8 7 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 11 12 13 13 12 11 10 10 10 10 9 10 11 11 11 11 10 10 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 14 17 17 16 15 13 12 11 10 12 14 14 14 13 11 11 11 11 11 11 12 12 12 13 13 13 14 16 22 23 19 16 13 13 13 13 12 12 12 12 12 12 11 11 12 12 13 12 11 12 12 11 12 11 11 11 11 12 13 14 15 15 14 15 13 10 10 12 15 17 16 12 11 11 12 13 14 14 14 15 16 16 17 17 17 18 18 15 12 10 9 10 13 15 15 12 11 12 14 15 14 14 14 13 13 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 8 12 15 15 14 13 14 13 13 15 18 20 20 17 15 13 11 8 5 4 4 7 12 15 15 14 13 12 11 11 12 14 12 10 10 10 11 11 12 9 8 9 11 12 12 12 12 12 11 12 13 13 12 12 11 10 9 9 9 7 8 10 11 10 8 7 9 10 10 11 11 12 13 13 13 13 13 13 13 13 11 10 10 12 13 13 14 14 14 14 12 9 8 10 12 13 13 12 12 13 12 10 12 13 13 13 14 13 13 12 14 17 16 14 14 13 13 13 14 13 14 14 13 13 13 12 11 12 13 13 13 14 14 14 14 14 13 12 11 11 11 12 12 12 12 12 13 14 15 13 9 3 -1 3 25 39 30 22 16 14 13 13 12 12 12 14 15 15 15 15 14 14 14 15 14 10 5 5 16 28 27 21 22 19 18 17 17 15 14 13 13 14 13 12 11 12 13 14 13 14 14 14 14 14 14 14 14 13 13 13 12 11 10 9 10 11 13 15 16 16 15 14 14 14 14 14 14 14 14 13 13 14 13 12 13 12 12 12 13 13 13 12 13 12 12 12 13 13 13 14 14 15 15 16 15 16 17 17 19 18 17 16 13 10 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 8 9 9 9 10 10 10 10 10 11 12 12 12 12 12 10 10 10 10 9 9 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 12 13 13 13 13 13 15 16 15 11 8 9 11 10 10 12 13 13 13 12 11 12 12 11 12 12 11 12 12 12 13 13 15 19 24 25 22 17 14 14 13 12 12 11 11 12 11 10 9 9 12 14 14 13 12 11 10 10 9 10 11 12 13 14 13 14 14 14 13 13 13 11 12 14 15 14 12 10 11 12 13 13 14 14 15 15 15 14 14 14 16 18 18 16 12 10 10 12 13 15 14 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
nan nan nan nan nan nan nan nan 11 9 7 6 5 5 5 4 4 3 3 3 3 3 4 4 6 8 12 15 18 21 22 22 20 22 24 25 24 24 23 24 26 26 25 24 24 26 28 29 30 29 28 25 23 19 16 14 13 13 12 9 7 7 9 11 11 9 9 10 11 11 11 11 11 11 10 8 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 6 4 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 8 16 20 20 17 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3 5 5 4 1 1 11 22 22 18 13 14 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 3 7 14 16 9 2 0 0 0 0 0 0 4 15 27 37 39 37 34 31 32 36 43 47 44 34 22 12 2 2 3 7 12 9 4 1 0 0 0 1 0 0 0 0 0 0 1 5 4 4 8 16 29 47 74 106 125 125 110 103 111 121 124 123 134 130 103 78 91 118 131 141 146 144 131 99 61 45 48 50 47 47 62 87 112 134 152 162 166 163 158 152 148 144 140 136 130 124 120 114 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 11 10 9 8 6 5 5 4 3 3 2 2 2 2 2 3 3 4 7 10 14 18 20 21 20 21 22 23 23 22 21 21 22 22 21 19 19 20 22 23 24 25 25 24 21 19 17 14 13 11 10 8 5 5 6 8 9 8 7 7 9 10 10 10 10 10 9 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 17 18 16 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 3 14 24 24 21 18 18 15 8 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 2 6 10 10 5 1 0 0 0 0 0 0 1 4 13 25 34 35 34 32 33 35 38 42 44 41 33 24 7 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 6 17 39 86 124 128 108 92 94 107 122 137 152 151 141 134 132 128 122 125 134 143 140 124 106 91 82 74 73 83 104 131 161 173 156 146 158 146 138 136 134 133 130 121 111 110 114 112 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 9 9 9 8 6 6 5 4 3 2 2 2 1 1 1 2 2 4 7 11 14 18 19 20 20 21 22 21 20 20 19 19 18 17 15 15 14 15 16 16 17 17 17 17 16 14 13 12 10 10 6 5 5 4 4 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 16 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 3 4 4 4 3 4 10 18 18 18 19 19 18 13 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 1 3 6 5 1 0 0 0 0 0 0 0 0 0 2 12 32 36 36 38 39 38 39 40 42 43 42 40 33 19 9 4 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 4 10 24 64 108 123 110 92 87 90 98 113 129 140 146 151 145 131 121 121 127 135 136 132 135 127 108 100 100 110 131 156 177 176 147 137 135 125 118 121 124 124 122 108 91 89 97 100 89 77 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 7 8 8 8 8 7 6 5 4 4 4 3 1 1 0 0 1 2 3 6 10 14 17 18 18 19 19 18 17 16 16 16 15 15 14 13 11 10 10 10 10 10 10 11 11 10 10 8 8 7 5 4 4 4 5 5 5 5 5 4 3 3 3 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 15 11 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 4 5 5 5 5 5 5 4 4 6 8 8 10 15 18 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 5 27 34 34 38 42 42 40 38 40 42 43 44 43 39 30 22 16 9 2 2 3 1 0 3 6 3 0 0 0 0 0 0 0 0 0 8 33 51 60 74 99 114 109 96 86 84 85 93 109 129 143 156 159 147 137 135 138 139 138 138 144 140 125 121 124 134 150 161 163 155 135 121 111 99 96 108 121 124 122 107 85 80 88 92 76 59 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 5 6 7 8 8 7 6 5 5 5 5 3 2 1 1 1 1 2 3 5 8 12 16 17 17 16 14 12 11 11 12 12 12 12 12 10 8 7 7 6 6 6 6 7 7 7 5 4 4 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 12 9 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 6 6 6 6 6 6 6 6 6 6 6 6 9 13 12 4 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 28 31 35 38 39 39 37 36 39 40 41 40 41 40 37 35 27 16 12 8 2 0 4 10 10 4 0 0 0 3 14 15 2 0 19 84 103 99 88 97 108 113 107 95 88 84 86 97 119 137 155 162 159 153 149 146 145 148 157 161 156 147 145 148 155 160 155 143 130 118 105 93 82 83 104 124 130 126 114 96 89 95 94 73 57 nan nan nan nan nan nan nan nan nan nan 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 5 5 4 4 5 6 7 8 7 6 5 5 6 5 4 4 3 3 3 3 2 2 3 7 12 16 17 16 14 12 10 9 9 10 10 10 11 10 8 7 6 6 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 4 5 6 6 6 6 7 8 8 8 7 6 7 6 5 2 0 0 0 0 0 0 0 2 4 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 2 15 23 28 33 35 34 34 32 31 30 29 30 34 40 42 44 45 39 25 14 7 1 0 2 7 15 18 13 5 6 13 43 51 30 20 68 123 128 112 99 100 107 118 118 110 100 92 90 96 113 130 145 156 164 166 160 152 149 159 175 182 178 170 168 169 169 165 148 126 114 107 101 93 85 85 100 121 130 128 120 110 105 110 108 90 77 nan nan nan nan nan nan nan nan nan 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 5 5 5 4 4 4 4 6 7 6 4 4 5 5 5 5 5 5 5 5 4 3 2 4 7 11 15 16 16 15 14 12 10 9 10 11 11 11 10 8 7 6 5 5 4 4 4 4 4 4 4 4 3 2 3 4 4 4 4 4 4 3 2 2 3 3 3 3 3 4 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 8 9 9 8 7 7 7 6 3 0 0 1 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 10 19 24 29 33 34 32 29 27 23 21 20 21 27 40 51 51 41 28 14 1 2 1 0 1 10 30 48 59 50 44 71 80 80 76 112 137 136 122 114 112 113 119 123 122 114 104 95 94 108 124 136 148 161 170 167 156 153 165 182 193 191 181 172 167 162 153 136 116 106 103 102 101 94 87 89 102 116 122 122 120 117 115 112 105 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 5 5 5 4 3 2 3 5 6 5 4 4 5 4 4 4 4 5 7 7 6 4 4 5 7 10 13 15 16 17 15 13 11 11 11 11 11 11 10 8 7 6 5 4 4 4 4 4 4 4 3 2 2 2 2 3 4 4 4 5 5 4 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 8 8 8 7 8 10 10 5 2 1 3 8 10 8 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 2 5 11 17 23 26 28 29 28 25 22 19 17 16 18 30 52 58 50 36 23 11 8 4 1 0 1 10 52 89 90 88 89 90 88 96 106 116 132 131 124 121 122 122 123 124 122 114 104 100 107 119 129 139 152 165 168 162 156 162 178 187 186 173 153 140 134 132 125 114 105 102 104 104 98 87 81 84 98 113 123 124 118 112 110 105 98 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 5 5 5 5 5 4 3 2 2 4 4 3 3 3 3 2 2 2 2 4 5 6 5 5 6 6 7 8 10 13 15 16 15 13 11 9 9 9 10 10 9 8 7 6 5 4 3 3 4 4 4 3 2 2 2 2 2 3 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 5 10 16 12 4 1 3 9 19 20 15 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 19 21 22 24 24 23 22 20 17 18 27 46 66 70 56 38 22 14 12 7 4 6 2 29 67 81 81 92 97 95 95 104 125 144 147 137 132 133 128 121 116 113 111 111 109 109 114 122 131 143 158 170 170 163 160 172 180 176 156 134 118 113 117 123 120 114 109 106 104 97 84 73 71 83 104 118 120 111 104 101 96 93 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 2 4 4 4 4 4 4 3 1 0 2 2 2 1 1 1 1 1 0 0 0 1 3 4 5 6 7 7 8 8 10 12 14 15 14 11 8 7 7 7 8 8 8 7 7 5 4 3 3 3 3 4 3 2 2 1 2 2 2 2 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 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 4 12 17 10 5 4 9 19 27 22 10 6 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 1 3 10 14 16 20 24 26 24 21 17 17 28 57 84 83 65 43 29 26 25 26 29 26 30 51 74 85 93 103 106 106 116 138 158 162 149 142 142 134 121 110 104 103 108 112 110 109 118 126 137 151 166 173 172 171 174 173 160 140 123 112 108 115 127 134 137 133 121 107 95 80 65 60 70 91 108 111 105 101 98 88 86 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 0 1 1 1 2 2 2 2 1 0 0 2 1 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 8 8 9 11 13 15 16 14 11 8 6 6 6 6 7 7 6 5 3 2 2 2 3 3 3 2 1 1 1 1 1 1 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 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 8 10 8 7 8 17 26 25 15 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 3 6 11 19 26 29 31 27 19 18 34 67 89 90 75 56 45 44 49 50 50 54 62 72 81 89 104 118 125 137 156 170 170 160 154 148 133 120 109 105 107 111 111 108 106 116 125 134 144 154 164 172 179 183 175 158 139 126 120 119 124 136 155 171 168 150 123 99 77 60 52 59 79 97 103 102 104 102 84 82 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 10 12 14 17 19 19 16 12 8 6 5 6 6 6 6 5 2 1 1 1 1 2 2 2 1 1 0 0 0 0 1 2 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 9 13 17 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 13 30 46 48 36 22 17 37 72 96 96 77 58 51 54 58 61 65 73 82 90 99 113 132 145 158 169 172 175 170 166 154 129 115 109 112 117 120 118 109 104 110 123 132 137 141 150 162 172 179 177 164 150 141 139 139 141 153 179 201 197 174 142 113 83 59 48 52 72 87 90 91 97 99 89 87 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 3 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 15 18 20 20 18 15 11 8 6 5 5 5 4 4 2 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 4 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 2 25 54 70 63 43 22 23 50 83 94 80 63 55 57 63 68 73 81 96 106 114 126 141 154 168 173 171 173 172 173 160 128 110 105 110 116 117 116 111 104 104 115 125 128 130 134 144 154 158 158 157 155 154 155 157 161 171 193 210 208 189 168 144 110 78 59 60 72 77 74 72 76 88 95 97 107 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 5 1 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 16 19 20 19 17 14 11 9 7 6 5 4 3 1 0 0 0 0 0 0 1 2 3 2 2 1 0 0 0 0 1 1 2 2 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 5 5 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 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 16 44 74 86 74 46 30 41 66 83 81 67 59 61 67 74 81 91 108 118 125 136 145 156 169 171 170 167 164 159 150 133 114 106 107 111 114 117 114 105 102 107 116 122 124 124 129 134 138 138 137 139 145 153 161 172 184 197 204 205 198 189 172 144 108 77 66 68 65 58 53 54 69 89 100 110 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 4 6 4 2 1 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 19 20 19 17 14 11 9 7 6 5 4 2 0 0 0 0 0 1 2 2 3 3 3 2 1 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 38 66 94 94 69 44 44 61 86 91 80 67 66 70 75 81 94 114 127 137 144 148 151 156 165 166 161 152 145 140 137 127 116 111 110 111 116 117 107 100 98 104 116 122 122 122 123 123 116 110 112 121 136 153 171 186 196 200 201 197 191 180 162 133 101 80 70 58 49 44 44 59 79 93 102 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 5 7 7 6 4 2 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 6 11 15 17 18 16 13 10 8 7 6 4 2 1 0 0 0 0 0 1 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 3 3 3 4 4 4 4 4 4 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 9 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 36 50 80 89 73 53 50 64 100 104 92 76 71 71 74 81 103 124 137 148 152 150 150 155 161 159 150 143 140 136 136 136 128 116 108 108 113 116 110 99 88 91 104 116 123 121 119 114 101 87 85 92 107 131 156 174 185 188 187 178 167 162 157 145 124 105 86 69 55 46 46 61 77 86 88 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 4 6 9 12 13 10 6 2 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 12 10 8 7 6 5 3 1 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 3 3 4 4 4 4 4 3 2 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 14 13 12 10 8 7 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 4 18 26 33 55 69 67 58 53 65 96 111 102 88 80 78 80 88 105 124 141 153 155 153 152 155 157 153 142 136 138 138 139 139 134 122 106 100 106 112 111 100 86 85 96 111 120 122 122 115 96 76 68 70 80 98 121 142 157 163 162 153 140 136 140 143 133 115 102 85 70 59 58 68 79 84 84 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 17 14 12 12 13 14 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 1 3 3 4 4 4 4 3 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 13 15 15 14 12 10 9 8 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 18 20 22 42 63 76 68 59 65 94 116 115 103 92 88 88 92 107 128 144 153 154 152 152 154 154 151 141 132 137 139 140 141 138 127 112 99 98 105 107 101 91 89 97 108 116 120 124 120 105 82 68 65 70 77 88 103 116 126 131 127 119 116 123 129 127 115 105 92 79 69 67 75 84 90 91 89 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 24 25 25 19 14 11 9 9 10 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 2 2 1 0 1 2 3 3 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 14 14 14 11 9 8 8 8 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 15 21 21 20 35 63 86 79 66 65 92 119 126 118 107 102 100 98 111 131 145 152 151 149 150 151 150 150 145 135 138 138 138 138 138 131 119 106 100 99 102 102 99 100 105 109 111 113 118 117 107 92 78 73 74 75 76 81 89 96 104 106 105 106 109 114 114 112 106 94 81 73 73 82 91 96 97 96 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 19 22 24 22 16 9 5 6 8 10 11 11 8 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 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 1 1 2 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 11 11 11 10 9 8 8 8 8 8 8 6 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 0 0 0 0 0 0 6 17 23 24 22 32 55 76 78 68 68 85 110 128 132 126 115 114 118 126 135 145 153 154 151 149 147 146 146 145 139 137 136 139 138 137 134 126 114 103 97 99 102 104 109 115 111 104 103 108 109 103 95 87 84 83 79 75 74 77 82 88 92 94 95 97 98 99 100 100 93 82 76 78 86 94 98 99 98 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 16 17 18 19 15 9 5 5 6 8 10 12 13 12 9 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 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 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 0 0 0 1 11 21 25 25 33 46 60 65 64 65 78 101 122 138 148 133 122 124 133 141 149 157 158 154 150 143 140 140 140 138 135 133 135 138 138 137 130 120 106 98 98 100 104 110 119 114 99 94 100 105 101 94 90 91 88 78 69 65 67 72 77 81 83 84 84 83 82 84 89 91 88 83 84 90 95 96 96 96 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 14 13 13 14 13 11 9 7 6 6 6 7 10 13 13 11 8 6 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 1 2 2 2 1 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 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 6 16 23 25 31 41 48 53 56 61 70 90 113 134 151 143 132 132 137 146 152 158 156 151 146 140 136 135 135 135 134 132 131 134 138 138 136 130 117 104 100 100 102 107 117 116 103 95 98 106 102 92 88 91 90 77 60 53 55 60 65 70 74 75 74 71 67 68 76 86 92 92 93 94 95 92 89 87 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 15 13 11 10 11 12 14 15 12 7 5 5 4 6 9 11 11 14 16 11 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 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 4 2 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 2 7 16 24 32 40 42 47 51 57 65 77 98 121 137 137 135 137 142 144 146 152 152 147 141 137 135 133 133 132 131 129 128 131 135 136 137 139 133 114 106 104 105 105 109 112 109 106 107 109 102 91 85 90 93 83 62 47 46 48 52 56 60 64 64 63 61 61 66 76 86 93 99 101 97 90 83 78 76 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 15 12 10 9 9 10 12 14 13 11 8 7 6 6 6 8 10 17 26 23 12 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 4 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 7 7 6 6 6 5 4 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 1 4 15 25 34 39 44 48 51 59 66 79 102 120 121 123 130 134 132 130 134 139 140 139 138 135 133 131 129 127 123 121 125 129 132 134 137 134 125 116 111 110 108 106 107 110 114 116 112 102 90 84 90 98 99 85 64 53 49 46 42 41 44 50 55 60 63 64 67 74 82 90 97 99 95 87 80 76 77 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 12 11 9 8 7 6 6 7 10 12 15 15 12 9 8 9 14 20 29 28 19 13 10 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 4 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 6 6 7 6 7 7 8 8 8 8 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 2 3 2 0 0 0 0 0 0 4 14 22 34 42 45 48 53 56 64 83 101 107 109 116 120 117 112 112 117 121 124 129 134 134 131 128 125 119 113 114 120 126 130 132 134 131 124 116 112 110 106 105 109 116 120 117 108 96 88 90 97 105 104 93 78 65 57 48 38 35 39 48 59 67 69 67 69 74 82 91 97 100 97 90 86 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 8 7 6 5 4 3 3 6 10 14 16 14 12 11 13 17 21 26 28 24 20 17 16 16 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 7 6 6 7 6 6 6 7 7 6 6 6 6 6 6 7 7 6 7 7 7 8 8 7 8 9 9 9 8 8 7 6 6 4 3 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 2 2 2 2 2 2 2 3 8 13 10 4 0 0 0 0 0 0 5 15 27 39 45 48 49 49 52 64 82 96 103 109 114 114 109 104 104 108 110 113 119 126 131 134 129 120 106 102 107 116 121 126 130 131 126 120 114 111 111 113 116 120 122 121 118 110 100 96 96 98 103 103 94 80 71 67 60 51 49 54 61 67 71 74 75 77 81 88 95 100 101 100 100 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 5 5 4 4 4 5 6 9 12 13 13 13 14 16 19 21 23 23 19 17 16 17 16 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 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 1 1 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 8 7 7 7 7 8 7 6 6 7 6 6 5 5 5 4 5 6 7 7 7 7 7 8 8 9 10 10 10 9 8 7 8 7 7 7 7 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 5 13 15 8 0 0 0 0 0 0 1 6 17 33 43 47 47 47 46 50 64 80 90 100 109 114 114 111 110 109 108 105 106 111 119 129 132 125 110 100 99 104 109 117 124 129 128 124 119 116 120 128 131 128 126 126 125 122 114 108 103 97 96 99 94 80 72 71 74 74 74 74 75 79 82 84 85 87 87 89 92 96 98 100 106 112 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 3 4 4 4 4 4 4 3 2 4 5 8 10 11 12 13 15 16 15 13 10 9 10 12 14 14 13 10 6 3 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 4 5 6 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 4 5 7 8 8 8 8 8 9 11 12 12 12 11 10 9 9 8 8 8 8 8 7 7 6 6 6 5 3 1 0 0 0 1 1 0 0 2 4 4 1 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 4 4 4 4 7 9 5 1 0 0 0 0 0 0 0 8 22 34 42 46 46 46 46 53 64 73 82 93 102 108 111 118 122 117 109 102 99 102 111 120 124 118 108 102 99 100 109 120 126 131 134 132 128 133 144 142 136 131 128 123 120 118 116 112 106 101 97 88 75 67 64 65 74 82 86 84 86 91 89 90 93 94 93 93 93 93 94 100 110 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 0 1 1 2 2 2 2 2 1 0 0 1 2 4 6 7 9 11 12 10 7 4 4 5 8 10 12 14 12 10 6 5 4 3 4 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 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 3 5 6 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 5 4 4 5 6 6 4 5 6 8 9 9 10 10 8 7 9 10 12 13 13 12 12 11 10 10 9 9 9 9 8 7 7 7 8 8 6 5 3 4 6 5 5 4 4 5 5 4 2 0 0 0 0 0 0 0 0 0 1 2 4 5 6 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 3 10 20 32 42 44 46 49 52 57 65 69 76 83 88 94 106 121 127 121 107 94 88 91 101 113 118 115 109 102 96 104 116 124 131 140 147 152 155 154 145 138 133 127 123 122 121 120 118 113 108 101 91 78 71 67 60 62 71 75 75 75 76 78 82 87 90 91 90 89 87 88 94 104 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 10 7 4 2 4 7 8 9 10 11 11 10 10 9 7 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 4 6 7 6 5 5 6 5 4 4 3 1 0 1 2 1 0 4 9 12 11 9 9 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 9 10 11 11 7 7 8 9 10 10 9 3 2 4 5 7 10 12 13 12 12 12 11 11 11 11 11 11 10 9 8 9 11 11 10 9 9 10 10 10 9 8 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 2 5 7 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 2 7 22 36 38 43 50 54 60 67 71 70 71 72 75 85 99 115 121 111 95 82 78 83 92 104 112 114 108 97 101 112 119 127 135 147 161 169 166 154 141 133 128 126 129 130 129 126 118 115 108 98 86 82 78 69 64 66 66 64 60 57 59 66 72 76 77 76 75 74 77 86 95 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 10 6 5 7 8 6 6 7 11 15 14 11 8 6 5 4 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 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 6 4 4 5 4 4 6 7 8 9 8 8 9 10 10 10 9 8 6 5 7 8 7 7 12 14 14 11 7 7 6 5 5 5 5 5 5 6 7 7 6 5 5 5 5 8 12 14 15 16 17 16 8 9 10 10 10 8 3 1 1 2 3 4 6 9 11 12 13 13 12 12 12 12 12 12 12 11 10 10 12 14 12 12 13 12 11 10 9 8 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 2 3 5 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 11 18 25 33 43 52 62 72 76 75 73 70 68 70 78 89 100 103 96 83 74 72 75 85 99 111 113 105 98 102 109 115 121 134 153 170 174 165 150 136 130 130 131 131 130 126 119 114 110 106 99 95 88 77 73 73 70 66 59 54 53 55 58 58 55 55 56 59 63 69 81 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 18 13 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 12 11 9 8 8 6 3 4 8 13 13 9 4 2 1 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 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 10 9 8 8 7 5 5 5 6 7 8 7 7 8 10 11 12 10 10 12 15 16 16 16 16 15 14 12 9 8 7 6 5 6 6 5 6 6 7 8 8 6 5 5 6 8 12 18 22 22 21 20 18 12 10 10 10 10 7 3 1 0 0 1 1 2 3 7 11 14 14 14 12 12 12 12 15 17 16 16 16 18 20 20 19 16 13 11 10 9 8 7 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 1 1 2 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 13 21 34 44 56 70 82 86 82 76 70 64 63 67 76 86 90 85 76 68 64 70 82 98 109 112 107 101 101 105 109 118 134 153 167 170 163 147 135 136 134 122 119 122 119 114 115 114 112 109 100 89 84 81 77 75 68 58 52 52 52 50 46 46 50 54 57 60 67 78 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
33 28 23 18 12 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 14 12 10 9 6 3 1 3 7 9 6 2 0 0 0 0 2 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 1 2 2 2 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 9 9 9 9 9 7 6 6 7 6 5 5 6 6 8 9 10 9 9 11 15 17 17 17 15 12 10 9 8 7 7 6 6 6 6 6 6 7 7 7 7 6 5 5 8 15 22 28 31 31 28 24 19 14 12 11 10 10 7 3 1 0 0 0 0 0 0 2 6 11 13 13 12 11 11 11 14 18 20 22 24 26 28 27 26 22 18 14 12 9 7 6 6 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 7 13 23 34 46 60 74 86 90 88 81 67 57 52 53 61 72 78 77 71 64 62 66 77 92 104 109 108 104 104 106 109 118 133 149 161 166 161 152 148 133 114 108 114 116 112 113 115 115 114 109 100 93 86 83 87 84 67 57 53 52 52 52 54 56 57 56 55 60 68 70 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
38 35 33 28 22 17 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 14 12 9 6 2 0 1 3 6 5 2 0 0 0 0 1 6 6 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 1 2 2 3 5 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 7 7 8 7 7 7 8 11 13 13 11 8 8 7 7 7 7 6 6 5 5 5 5 6 5 5 5 6 6 6 12 25 31 33 35 34 32 27 22 16 12 11 11 10 6 3 1 0 0 0 0 0 0 0 1 2 7 9 10 10 11 10 10 13 18 22 25 27 29 30 29 26 24 22 19 16 12 8 6 7 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 1 2 5 5 4 4 1 1 2 0 0 5 9 7 3 1 0 0 0 0 5 13 22 35 47 58 68 80 88 92 80 62 48 38 37 45 59 69 70 64 56 52 55 64 76 86 93 94 94 95 98 105 119 130 142 151 157 160 158 142 119 107 108 110 105 100 104 107 108 108 104 98 92 90 95 96 87 73 63 59 58 61 64 63 58 51 48 51 58 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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37 37 35 31 25 21 17 12 4 0 0 1 3 4 3 2 0 0 0 0 0 0 0 2 5 8 6 1 1 0 0 0 0 1 4 6 7 6 4 3 5 7 8 6 5 6 5 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 1 3 4 5 5 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 9 9 9 9 8 7 6 5 6 7 9 11 13 15 14 13 10 8 6 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 6 6 5 5 5 6 7 8 9 11 16 24 28 29 28 27 28 29 30 29 23 15 11 10 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 11 11 10 14 20 27 30 28 25 22 22 23 26 29 30 27 20 12 8 6 4 2 1 1 2 2 2 0 0 0 0 0 0 3 17 23 20 21 17 2 0 0 0 0 2 10 17 15 10 4 0 0 0 0 0 2 9 27 37 45 49 54 71 78 69 54 38 25 21 27 40 51 52 45 37 32 30 30 32 34 34 38 40 44 53 63 77 94 110 121 130 141 151 146 129 119 111 98 90 96 104 101 94 90 90 92 95 99 102 104 102 96 90 86 83 81 78 70 58 48 43 43 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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11 11 10 8 7 8 11 10 3 0 0 4 11 18 18 14 8 2 0 0 0 0 0 4 7 8 6 3 2 3 2 1 0 0 2 4 7 9 9 9 9 10 11 11 15 20 22 20 16 12 10 8 7 7 7 7 6 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 1 2 2 3 4 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 8 8 9 9 8 7 7 7 8 8 7 7 8 8 10 14 16 11 11 9 8 7 7 7 7 7 7 9 10 11 12 12 11 9 7 7 6 6 6 6 9 14 24 27 22 20 20 19 18 19 21 23 24 26 29 33 33 28 22 16 13 12 10 6 4 2 2 2 1 0 0 0 0 1 1 2 2 4 8 12 14 14 13 12 14 17 20 22 23 22 22 22 29 36 40 41 35 25 14 7 3 1 0 0 0 2 6 5 2 1 0 0 0 4 14 7 2 0 0 0 0 2 9 10 2 4 11 18 15 8 1 0 0 0 0 0 2 4 15 24 30 37 46 53 52 45 33 22 14 21 34 42 38 30 27 24 23 22 20 18 16 15 15 16 18 21 30 45 64 77 95 118 127 125 124 120 110 99 93 96 103 108 106 95 87 82 81 90 98 101 110 117 119 116 109 95 80 69 63 58 51 46 41 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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9 12 13 15 16 17 20 24 25 20 14 10 12 22 30 32 23 10 4 2 2 3 6 8 11 16 21 23 20 15 9 5 1 0 0 0 0 2 5 9 12 18 24 27 30 33 34 30 25 21 18 16 14 11 7 5 5 6 7 8 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 8 8 8 7 7 7 9 10 10 9 9 9 9 9 9 7 7 7 8 9 10 11 12 13 12 12 13 15 16 18 18 16 13 10 10 11 11 11 10 8 8 8 8 8 9 12 15 17 17 16 15 14 12 12 12 11 11 12 13 13 12 11 8 6 5 4 5 4 1 0 0 0 0 0 0 0 1 2 4 5 7 8 8 6 0 3 7 10 15 18 16 12 18 31 41 47 46 39 30 20 11 3 0 0 1 8 14 15 15 13 10 6 2 4 8 7 2 0 0 4 18 34 37 32 21 11 13 16 16 13 8 4 1 0 0 0 0 0 2 8 11 17 28 36 45 46 41 31 22 23 25 26 25 23 20 16 12 8 6 4 3 3 3 2 2 2 7 17 29 42 59 81 102 117 122 126 134 123 107 96 96 97 105 110 109 98 90 89 92 101 116 127 132 133 122 99 76 60 49 46 45 48 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 12 16 20 22 24 26 30 35 33 26 19 17 23 32 39 33 14 5 4 6 9 11 11 13 18 27 32 31 24 13 5 1 0 0 0 0 2 6 10 13 19 29 36 35 29 24 20 16 12 10 9 8 6 3 1 1 1 2 4 7 9 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 8 7 7 8 8 8 8 9 9 9 10 11 13 17 14 10 7 8 8 10 12 12 13 13 13 16 19 22 20 17 16 13 12 13 17 18 17 12 8 7 8 8 8 8 8 9 12 14 14 14 12 12 12 12 10 9 9 10 10 11 10 8 6 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 0 0 3 6 12 17 14 7 6 17 29 35 38 39 40 37 26 8 0 0 1 10 18 21 23 24 26 24 17 14 14 13 7 0 0 1 9 26 35 39 37 29 22 18 18 18 15 9 3 0 0 0 0 0 0 0 1 4 9 22 33 40 43 41 36 33 31 28 25 20 16 10 5 2 1 1 0 0 0 0 0 0 1 6 14 23 34 54 81 108 118 111 114 118 112 106 103 100 103 113 120 115 99 87 86 96 117 128 132 134 126 112 95 76 58 49 46 48 51 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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14 11 11 13 16 22 28 35 44 53 63 72 73 62 48 38 36 39 37 30 19 8 5 7 10 15 17 21 27 35 44 47 37 25 17 17 20 23 25 25 23 24 28 37 48 52 47 37 28 20 11 5 3 1 1 0 0 0 0 0 0 1 9 21 26 21 14 7 4 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 3 4 5 7 9 9 9 9 9 9 8 8 8 7 8 8 8 9 10 10 8 8 9 10 11 11 10 10 12 13 15 20 24 27 28 30 30 27 18 10 8 8 7 6 6 7 8 8 8 8 8 8 8 7 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 2 13 24 26 24 26 40 62 78 79 71 60 48 42 41 42 48 51 49 48 50 54 58 60 61 64 68 73 75 70 60 48 40 35 27 16 6 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 15 15 11 6 1 0 0 0 0 0 0 0 0 0 1 4 5 8 13 23 34 48 65 85 105 117 128 149 158 153 140 133 134 144 145 132 114 105 106 107 99 89 82 80 88 96 103 107 104 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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