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 5 3 3 3 3 4 5 5 4 3 2 2 3 3 3 3 4 3 2 1 1 2 2 2 2 2 2 3 2 2 2 3 3 4 4 3 4 4 5 5 5 4 3 2 2 2 3 4 4 4 4 3 3 3 2 2 2 3 3 2 2 2 2 2 3 3 4 3 3 3 2 2 3 3 3 3 2 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 4 4 4 5 5 5 6 5 5 4 3 3 4 5 5 6 7 7 5 5 5 5 5 4 5 6 6 5 4 3 3 -0 0 4 7 7 7 5 7 2 3 7 6 7 6 1 1 12 19 16 16 15 9 10 14 15 15 15 15 11 10 12 15 11 3 2 6 9 11 13 10 7 8 8 7 8 8 9 7 4 2 0 1 3 5 6 4 2 2 2 4 5 6 8 9 9 8 8 10 15 16 14 10 8 6 5 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 5 5 4 4 4 4 4 4 3 3 5 7 9 11 12 9 5 4 5 5 5 5 5 6 5 5 5 6 6 5 5 5 5 5 5 4 4 1 -4 -1 5 5 4 4 4 3 3 4 5 5 5 5 7 9 9 7 4 4 7 8 8 7 6 6 7 7 6 5 5 6 6 7 7 8 8 8 8 7 7 7 6 6 6 5 5 5 4 4 4 5 6 7 7 7 7 7 6 6 7 8 9 10 10 11 11 11 10 10 10 9 9 9 10 11 16 19 16 12 9 8 9 6 5 3 -3 -8 -6 -3 1 6 5 0 -1 2 4 3 -0 -6 -9 -9 -7 -2 3 8 10 12 14 15 11 10 11 11 14 21 21 13 8 7 6 6 5 6 7 8 8 9 9 9 8 8 8 8 9 8 8 9 8 7 7 7 7 7 5 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
nan nan nan nan nan nan nan nan 6 6 4 3 2 2 3 4 5 4 4 3 3 3 2 3 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 3 2 2 3 3 3 4 4 4 4 3 3 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 2 3 3 4 3 2 2 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 5 6 6 6 6 6 6 5 4 3 4 5 5 6 7 8 6 5 6 6 6 4 5 6 6 5 5 4 2 -1 -0 4 7 7 10 12 12 4 6 8 7 10 15 15 11 11 17 20 22 23 20 19 18 17 16 15 12 9 10 13 17 16 8 4 7 11 13 11 7 4 5 6 7 10 10 8 7 5 3 -1 -2 2 7 6 4 2 -1 0 5 7 7 8 9 8 7 6 6 7 9 10 8 6 6 5 4 4 4 4 4 3 3 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 3 3 4 4 4 4 4 4 4 4 3 2 2 4 5 7 8 11 11 7 5 5 5 5 5 5 6 6 6 5 6 6 5 5 5 5 5 5 4 4 0 -5 0 7 6 3 2 3 2 3 4 5 6 5 5 7 10 10 7 4 5 6 7 7 7 6 6 7 7 7 6 6 6 6 6 7 8 8 8 8 8 7 7 6 6 6 5 5 5 5 4 4 4 6 7 7 6 6 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 13 17 19 16 13 11 10 9 6 6 5 1 1 4 5 7 7 5 5 6 6 4 2 -2 -6 -8 -6 -3 2 6 7 9 10 11 11 11 12 12 14 17 13 8 6 6 5 4 4 4 5 6 6 7 8 9 9 10 10 9 9 9 8 7 7 7 6 5 6 6 5 4 5 6 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 6 6 4 3 2 2 3 4 5 5 4 3 3 3 2 2 2 2 3 4 4 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 3 3 1 2 5 5 4 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 5 6 5 6 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 6 7 7 6 6 6 6 5 4 4 5 5 6 6 7 8 7 6 6 6 6 5 5 6 6 6 5 3 0 -1 2 3 3 5 10 15 10 5 6 7 7 9 21 26 17 7 7 11 14 14 13 12 12 11 11 11 8 5 5 8 15 18 12 9 11 14 15 13 10 9 8 5 5 7 8 8 9 9 7 3 1 3 4 4 4 2 -0 2 7 8 7 6 6 5 4 3 2 3 6 7 6 5 5 5 4 4 3 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 6 5 4 3 3 4 4 4 3 3 3 3 2 1 1 2 3 5 9 10 9 7 5 5 5 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 5 4 3 -3 -4 5 9 3 -2 -1 2 3 3 5 6 5 5 7 9 9 7 5 5 6 6 7 6 6 6 6 7 7 7 6 6 6 6 6 7 8 8 9 9 9 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 11 14 14 14 12 10 10 9 8 6 6 7 9 8 7 6 5 6 7 6 4 3 4 4 2 3 6 8 7 5 6 7 8 9 10 10 10 10 9 6 5 5 5 4 3 3 3 4 4 5 6 7 8 9 10 11 10 9 8 7 7 7 6 5 5 5 5 5 5 6 6 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 6 5 3 3 3 3 3 4 4 5 5 5 3 3 3 2 1 2 2 3 4 4 4 4 3 3 3 4 4 3 2 1 1 2 2 2 2 2 3 3 3 4 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 5 5 3 2 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 6 5 5 4 4 4 5 6 7 7 8 7 6 6 6 6 5 5 5 6 6 7 7 8 8 7 7 6 6 6 5 5 6 6 5 2 -3 -7 -2 -1 -3 0 6 8 3 5 8 8 7 8 15 19 11 5 2 1 1 1 1 0 2 3 4 4 5 2 -1 2 12 17 14 12 14 16 17 17 17 17 12 7 5 5 4 8 13 12 9 5 4 3 1 1 3 2 3 6 9 9 8 5 4 4 3 2 2 5 7 6 5 5 4 4 4 4 4 4 4 3 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 5 6 5 4 3 3 3 3 3 3 3 2 1 0 -0 0 2 5 8 11 9 6 6 5 5 5 5 4 3 4 5 5 5 5 5 5 5 6 6 6 5 5 5 2 -4 -2 9 9 -1 -3 1 3 3 4 5 5 6 6 8 8 7 6 6 6 6 6 5 4 5 5 6 6 6 6 6 6 6 7 7 7 8 10 12 12 9 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 7 9 11 11 9 9 9 8 8 8 8 9 11 9 6 4 6 7 7 6 6 6 7 7 8 9 8 5 4 4 5 6 7 7 7 5 3 3 4 6 4 3 3 2 2 2 2 3 4 5 6 7 8 8 9 9 8 7 6 6 7 6 5 5 5 5 5 6 7 7 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 nan 6 6 4 3 3 4 4 3 3 4 5 6 5 4 3 3 2 1 2 2 3 4 4 4 3 2 3 4 5 4 2 1 1 2 2 2 2 2 2 2 3 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 2 2 3 3 3 2 3 3 3 4 5 4 3 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 5 4 4 4 5 6 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 7 8 8 7 7 7 7 6 6 6 6 6 5 3 -4 -13 -11 -4 -1 1 2 1 -1 4 9 9 5 5 8 8 4 5 4 2 1 4 3 1 -0 0 -0 -1 2 4 2 2 8 12 10 9 11 14 13 13 16 17 12 8 7 5 4 9 14 10 6 5 4 2 1 2 3 3 6 11 12 10 6 4 4 3 3 2 4 7 7 5 4 4 4 3 4 4 3 3 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 3 2 1 0 0 -1 -1 0 2 6 11 11 6 6 6 5 5 5 4 4 4 3 4 4 4 4 4 4 5 6 6 6 6 5 4 -0 -5 0 10 7 0 2 4 4 3 4 5 5 6 6 6 7 7 6 6 6 5 4 3 4 4 5 6 6 6 5 6 6 6 7 6 7 10 14 13 9 6 6 6 7 6 6 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 6 6 5 5 4 3 3 3 3 2 2 1 2 3 3 4 6 8 8 7 8 9 8 7 7 9 12 11 8 8 8 8 9 11 10 11 9 8 7 7 6 5 5 5 5 5 6 6 4 2 1 2 3 5 4 2 1 1 1 1 1 2 3 4 5 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 6 5 4 4 4 5 4 3 3 5 5 7 6 5 5 3 2 2 2 2 3 4 4 3 2 2 3 5 5 4 2 2 2 3 3 3 3 2 2 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 2 2 2 1 2 3 2 3 3 3 3 4 4 4 4 3 2 3 3 3 3 3 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 4 4 4 4 5 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 6 6 6 6 5 4 -1 -8 -7 1 5 3 1 2 4 7 9 5 4 3 5 7 5 4 4 4 6 8 8 6 2 2 2 1 0 5 8 7 6 6 3 1 2 5 7 5 6 8 7 6 6 4 2 3 6 3 2 4 3 4 5 5 4 5 9 13 13 9 6 4 3 3 3 5 7 8 6 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 4 3 3 3 3 2 1 1 0 -0 -0 -1 -1 -0 3 9 12 7 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 6 6 6 5 5 5 4 -2 -7 -1 6 5 4 5 5 4 4 4 5 6 6 6 6 6 6 6 6 5 4 3 3 4 4 5 6 6 5 5 6 6 6 6 7 8 11 12 9 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 3 2 2 3 3 2 1 -0 -1 -0 1 1 2 3 4 6 7 8 8 8 7 6 6 9 11 11 12 12 10 12 14 14 12 9 7 6 6 6 7 7 6 6 6 5 4 2 2 2 3 4 4 5 5 3 3 3 2 1 3 4 4 5 5 5 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 6 6 5 4 4 5 4 4 4 5 5 6 7 7 6 5 4 3 2 2 2 3 4 3 2 1 2 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 4 4 4 4 5 5 6 7 7 8 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 7 6 6 6 6 6 5 3 -0 1 7 7 4 4 11 14 10 5 3 6 7 7 7 7 4 2 1 5 9 13 13 8 6 6 4 2 4 5 4 2 2 -0 -4 -6 -3 2 1 1 1 1 1 1 -2 -5 -3 1 0 -0 3 5 6 5 4 5 8 10 11 10 7 4 3 3 3 5 8 9 7 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 5 5 6 5 5 5 4 4 3 2 2 1 1 0 -0 -0 -1 -1 -1 1 6 11 8 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 5 6 6 6 5 5 5 3 -3 -9 -5 3 5 5 5 5 5 4 4 6 6 6 6 6 6 6 6 5 4 4 4 3 4 4 5 5 5 4 5 5 6 6 6 7 8 9 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 3 3 4 3 1 0 -0 0 2 2 3 4 4 5 6 7 7 7 7 6 5 6 7 10 12 12 12 12 12 11 8 7 6 5 6 6 7 6 6 6 5 4 3 1 1 3 4 5 6 6 6 4 4 3 3 2 3 5 5 5 5 5 5 6 6 7 8 8 7 7 6 6 6 6 6 5 6 6 6 6 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 4 4 5 6 6 5 4 4 4 4 5 5 5 5 6 6 7 7 5 4 2 2 2 2 3 2 3 2 2 3 3 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 9 10 10 10 9 9 8 7 6 6 6 6 6 5 6 6 7 7 6 7 8 8 7 6 6 6 6 6 5 3 1 2 5 6 12 18 15 10 6 5 4 6 4 2 4 3 1 -1 0 6 12 15 13 11 8 5 3 1 -1 -2 -1 -0 -2 -7 -9 -5 1 4 3 -0 -1 0 -2 -7 -8 1 7 4 1 2 5 4 3 4 6 10 11 9 8 5 4 3 2 3 6 9 8 6 3 3 2 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 3 3 3 3 3 2 2 1 0 -0 -0 -0 3 10 11 5 4 3 3 4 6 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 3 -5 -8 -1 4 4 5 6 5 5 4 4 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 6 6 6 5 4 3 2 2 3 3 4 4 4 4 5 4 5 4 4 5 5 4 4 4 4 4 4 3 3 2 4 4 3 2 2 3 4 5 5 5 4 4 5 6 6 5 6 7 6 5 6 6 7 9 10 9 7 6 5 6 6 5 6 6 6 5 5 5 4 3 2 1 2 4 5 6 7 6 5 4 3 3 3 4 5 5 5 5 5 5 4 4 5 6 7 7 6 7 6 6 6 6 5 5 5 5 6 6 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 8 5 5 5 6 5 4 3 3 3 5 5 6 5 5 4 5 7 7 6 4 2 1 1 1 2 2 3 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 3 4 4 4 5 5 4 4 4 4 3 4 3 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 5 4 4 4 4 4 5 6 7 8 10 11 11 9 9 8 8 6 6 6 6 7 6 6 6 6 6 7 6 6 7 8 8 7 6 7 7 6 6 4 -1 -5 -1 9 19 18 9 6 5 4 3 -0 -2 -2 0 4 5 2 -3 -1 7 10 9 9 7 3 -0 -2 -3 -0 3 4 -2 -8 -8 -2 5 9 8 5 3 5 3 -1 0 6 9 6 3 2 3 1 1 6 9 11 11 10 7 4 4 3 2 3 6 8 7 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 6 6 5 4 4 3 4 4 4 4 4 3 2 1 1 1 1 7 12 10 6 4 3 3 5 5 5 5 5 6 7 8 9 8 7 7 6 6 7 7 6 6 7 5 0 -6 -3 3 4 4 6 7 6 5 4 4 5 5 5 6 6 6 6 6 5 5 4 3 4 3 3 4 4 3 3 3 5 5 6 6 6 7 6 6 6 5 5 4 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 4 5 5 4 5 5 4 3 2 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 7 7 7 7 5 5 5 6 6 6 6 6 5 4 5 5 4 4 3 2 3 6 7 8 7 5 4 4 4 5 5 6 6 6 5 5 5 4 4 3 4 5 6 6 5 5 5 6 6 5 5 5 5 6 6 6 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 11 11 9 7 6 6 6 5 4 2 2 3 4 6 6 5 3 4 5 7 7 6 5 2 1 1 2 2 2 2 2 2 2 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 6 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 8 10 10 10 10 9 8 8 7 6 5 5 6 7 7 7 7 7 7 7 6 6 7 7 7 6 6 7 8 7 6 5 2 -3 -1 9 15 11 6 5 4 2 -2 -6 -5 -0 3 6 7 5 -2 -5 1 4 3 3 1 -1 -3 -4 -1 5 10 10 4 -3 -4 1 8 13 12 9 5 5 4 5 9 7 4 3 1 1 2 1 2 8 14 14 12 9 4 2 4 3 2 3 6 7 6 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 5 4 4 4 4 5 5 5 4 4 3 3 2 2 3 8 12 10 8 7 5 6 6 6 6 6 6 6 7 9 9 8 8 7 6 7 8 6 6 6 5 1 -3 -2 2 4 4 5 6 7 6 5 4 4 4 4 5 6 6 6 6 6 6 5 4 4 3 3 4 4 3 1 1 3 5 5 6 6 7 7 7 7 7 7 6 6 5 4 3 3 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 3 4 4 5 6 7 7 6 7 9 11 11 8 6 6 6 6 6 6 6 6 7 6 6 6 5 5 5 5 4 4 4 4 6 8 9 7 4 4 4 5 6 7 7 7 7 6 5 4 4 4 3 3 4 5 5 4 4 5 5 5 5 5 4 5 6 6 6 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 10 11 11 9 8 7 7 7 5 3 2 2 3 4 6 6 5 3 3 5 6 7 6 4 3 2 1 1 2 2 1 2 2 3 3 4 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 4 4 4 3 3 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 3 3 3 4 4 5 4 4 4 3 3 3 4 3 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 6 8 10 11 11 10 9 8 8 8 7 5 4 5 6 7 8 8 7 7 7 7 6 7 7 7 7 6 6 7 7 8 7 6 4 2 3 10 10 7 6 5 2 0 -1 -2 -2 2 4 4 4 3 1 -3 -2 -0 1 -1 -2 -2 -2 -0 4 9 10 9 7 2 1 4 9 13 11 5 -0 0 -1 4 10 8 4 2 -1 -0 -1 1 7 12 15 13 10 6 2 2 4 3 2 4 6 6 5 3 3 3 2 2 3 2 2 2 3 3 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 3 4 6 8 8 8 9 9 8 7 7 8 9 7 5 5 6 7 8 8 7 7 7 7 6 6 5 2 -1 0 3 3 3 4 5 6 6 6 5 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 5 3 1 -2 -1 2 5 5 6 6 7 7 7 8 8 7 7 7 7 5 4 3 4 4 4 4 4 3 3 4 4 3 3 2 3 4 4 4 4 4 3 3 4 4 3 3 4 5 5 5 5 6 7 8 9 9 8 7 9 10 9 7 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 6 5 5 8 8 7 7 7 6 5 5 5 6 7 7 8 9 8 6 5 5 5 4 4 3 3 4 5 4 4 5 5 5 4 3 4 5 6 7 7 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 6 8 9 9 9 8 8 8 7 4 3 2 2 3 5 6 6 4 3 3 4 5 6 6 5 4 3 1 1 1 1 2 2 2 2 3 3 4 5 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 5 7 9 11 12 11 10 9 9 9 9 8 7 5 5 5 6 7 7 6 7 7 7 7 7 7 8 7 7 7 6 7 7 6 6 4 5 7 11 11 10 2 -4 -5 1 6 6 2 2 1 -0 -1 -1 1 0 -1 -2 -0 2 2 1 2 7 15 18 11 5 3 2 3 5 8 9 6 -2 -6 -4 -3 4 8 5 2 1 4 5 2 2 9 14 15 11 7 3 2 5 6 3 3 5 7 6 4 3 3 3 2 2 2 3 2 2 3 3 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 4 5 4 5 4 4 4 4 5 5 8 8 8 7 6 9 12 11 8 5 3 4 5 7 8 7 7 8 9 9 7 3 0 1 4 3 3 3 3 4 5 6 6 5 3 2 2 3 3 3 3 4 4 4 4 4 3 4 5 6 6 4 -1 -6 -6 0 4 5 6 6 7 7 7 7 8 7 8 9 8 7 4 2 1 1 2 3 2 2 2 3 2 1 -0 1 3 3 3 3 2 2 2 3 3 3 4 4 4 6 6 6 7 8 8 8 8 7 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 6 7 6 7 9 8 7 7 6 6 5 5 5 6 7 7 7 9 9 7 6 5 4 3 4 3 3 3 4 5 5 5 5 5 4 4 4 5 7 7 7 6 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 3 5 6 7 8 8 8 8 7 6 5 4 2 2 3 5 6 6 5 3 3 3 6 7 7 6 5 3 1 0 1 1 2 2 1 2 3 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 5 7 9 11 12 11 11 10 9 9 9 10 9 7 6 5 5 6 6 6 6 6 7 8 7 7 9 9 8 7 6 6 7 6 5 4 6 8 7 8 9 -3 -6 0 8 7 3 -0 2 3 0 -0 -1 -3 -1 -0 -2 -1 6 8 8 8 13 21 22 13 5 2 0 0 3 4 2 1 -4 -7 -4 1 5 5 3 2 2 8 10 7 6 11 15 13 9 4 3 4 7 5 3 4 6 7 6 5 4 3 3 3 3 2 2 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 6 6 6 5 6 6 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 4 3 3 4 5 5 5 5 7 10 10 9 8 5 4 5 6 7 7 6 7 9 10 10 5 2 3 4 4 3 3 3 3 3 4 5 6 5 3 2 1 2 2 1 1 3 3 4 3 3 3 4 6 8 8 5 -2 -8 -7 1 5 6 6 6 6 6 6 6 6 7 8 9 10 8 3 -2 -5 -3 1 1 -0 0 1 1 -0 -2 -2 0 2 3 2 1 2 3 3 3 4 6 5 5 5 5 5 6 6 6 6 7 6 6 6 7 7 7 6 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 8 7 6 6 5 4 5 6 5 5 6 6 6 7 8 9 8 7 6 4 4 4 4 3 2 3 5 5 5 4 4 5 5 4 5 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 5 6 6 6 6 7 8 7 6 5 3 3 4 4 6 6 5 4 3 4 6 7 8 8 6 4 2 1 0 1 1 1 1 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 7 8 10 11 12 12 11 10 9 10 10 10 9 7 6 6 6 7 6 6 6 7 8 7 7 9 9 8 7 6 6 7 6 5 5 5 6 2 3 5 -1 3 6 8 4 -0 -0 4 10 6 2 0 -2 1 4 1 1 6 12 14 14 16 16 13 9 7 4 1 -1 2 1 -1 -1 0 -0 0 4 5 4 3 4 3 7 8 7 10 13 14 12 7 4 3 6 6 5 4 4 6 7 6 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 4 5 5 5 5 5 5 6 5 4 3 3 3 3 3 4 4 5 5 6 7 7 8 7 5 5 4 3 4 5 6 8 6 3 3 4 4 3 3 3 3 3 3 3 4 6 6 5 2 1 2 0 -3 -1 2 4 4 2 2 3 4 8 11 10 6 1 -4 -2 3 4 5 6 6 6 6 5 5 6 6 7 9 11 9 2 -6 -10 -5 -1 -3 -3 -2 0 -0 -0 -1 -0 2 3 3 3 3 5 5 4 5 8 8 7 6 4 3 4 4 4 5 6 6 6 6 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 6 5 5 5 5 5 6 7 9 10 9 7 5 4 5 4 3 3 3 4 4 4 3 4 5 5 3 3 4 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 3 3 3 3 4 4 4 5 7 7 8 7 6 4 4 4 4 6 6 5 4 4 4 5 7 8 8 7 5 4 2 1 -0 0 0 1 2 3 4 4 3 3 4 4 3 4 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 4 4 4 5 7 8 9 10 11 12 11 10 9 9 10 10 9 8 7 7 7 7 7 6 6 6 7 8 8 7 8 7 7 6 6 6 6 6 6 4 4 2 6 4 4 8 6 3 4 -2 -0 11 21 10 1 -1 0 5 11 10 5 5 12 17 18 15 11 6 4 5 5 2 2 4 3 2 5 5 3 3 4 4 4 6 5 3 5 6 6 10 15 13 9 6 4 5 5 4 5 6 5 7 7 6 4 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 6 6 5 5 6 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 4 3 3 3 3 4 4 4 3 3 4 6 8 8 6 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 2 2 4 7 9 6 1 3 4 -3 -7 -4 1 4 3 2 2 3 5 10 13 10 6 4 1 2 3 3 4 4 4 4 4 5 5 4 4 6 9 12 13 5 -8 -13 -8 -4 -3 -2 1 1 2 2 2 2 3 5 4 4 5 6 5 5 7 10 9 6 5 4 5 4 4 4 5 5 5 6 6 7 8 7 7 6 6 5 5 5 6 6 6 6 6 7 7 6 6 6 5 7 8 7 7 5 5 6 6 5 4 3 3 5 7 8 10 10 10 8 5 5 5 5 4 3 3 3 3 3 4 4 4 4 3 4 4 5 6 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 4 4 3 3 3 3 3 3 3 3 4 5 6 8 8 7 5 4 4 5 6 6 6 5 4 3 4 6 7 8 8 7 5 3 1 1 1 1 1 3 4 4 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 3 3 4 4 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 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 7 8 9 10 10 12 12 10 9 8 8 8 9 10 9 8 8 8 8 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 4 4 7 12 5 4 1 7 6 1 -5 -1 14 22 9 0 -2 3 8 12 10 5 3 8 15 17 14 9 5 3 4 3 3 4 6 6 5 6 4 2 3 3 4 6 8 5 3 3 5 6 10 12 10 8 5 5 5 4 4 5 6 7 8 7 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 7 6 6 5 3 3 3 4 4 4 4 3 2 2 3 5 7 8 8 5 4 3 3 4 4 3 3 3 3 3 2 2 3 3 4 4 3 2 2 4 9 11 6 5 11 6 -5 -10 -5 1 3 2 1 2 3 6 10 11 7 4 3 2 1 2 2 2 2 2 2 4 4 3 2 3 5 10 17 18 4 -9 -7 1 2 1 2 2 3 3 3 3 4 5 5 4 5 5 5 3 2 5 7 5 4 5 5 4 4 4 4 5 5 4 5 5 6 7 7 7 6 6 6 6 5 5 6 6 6 7 7 7 7 7 6 6 7 8 8 7 6 6 7 7 6 4 5 7 7 7 9 10 10 9 7 6 7 6 5 3 2 3 3 3 4 4 4 5 5 3 4 5 6 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 3 3 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 5 4 4 5 6 8 6 5 4 4 4 5 6 7 7 6 6 4 4 3 2 2 2 3 3 3 3 3 3 3 3 2 3 3 2 3 3 2 2 2 2 2 3 3 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 7 9 11 12 11 11 13 11 8 6 5 6 7 8 9 10 8 8 7 8 8 8 9 8 8 8 8 7 5 5 6 5 5 7 6 4 5 9 11 5 1 -0 8 11 2 -4 -2 8 14 9 6 6 8 9 6 3 2 1 5 11 13 12 7 4 4 3 2 4 5 7 6 3 0 -1 2 4 3 3 8 9 6 2 2 5 6 9 9 7 6 4 4 4 4 4 6 7 8 8 6 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 6 7 7 6 5 4 3 3 4 4 4 4 4 3 2 1 2 5 9 10 8 5 3 4 4 4 4 3 4 4 3 3 2 2 2 3 4 4 3 2 2 5 9 8 9 16 15 5 -5 -9 -4 1 1 1 1 2 2 5 7 5 2 3 2 1 0 0 1 0 -0 -1 0 1 2 1 0 2 6 14 19 14 4 2 4 3 2 2 4 4 4 4 4 5 5 5 4 3 4 5 3 -0 1 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 6 6 6 5 6 6 6 7 7 8 8 7 6 6 6 6 7 8 8 7 7 8 7 7 9 9 7 7 8 9 10 8 7 7 7 6 6 6 4 2 3 3 4 5 6 6 5 3 4 5 6 6 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 2 3 3 4 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 5 5 5 6 7 8 7 5 4 3 4 4 5 5 5 6 6 6 6 5 3 3 3 4 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 1 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 6 6 8 11 14 15 11 11 13 12 8 4 2 2 5 7 8 9 9 8 8 8 9 9 9 9 9 9 8 7 5 5 5 5 5 6 5 5 8 11 11 8 0 2 7 8 8 7 3 5 6 9 14 15 14 10 1 -1 -0 0 3 6 9 8 5 4 4 3 3 3 3 5 5 2 -1 -1 2 5 3 3 6 8 6 2 3 6 8 7 7 5 4 4 4 4 3 4 6 8 9 8 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 4 4 5 4 4 5 5 6 7 7 6 4 4 4 4 5 5 4 4 3 2 2 2 4 7 10 10 7 4 4 4 4 4 4 5 5 4 4 3 2 2 2 3 3 3 3 2 3 5 6 8 15 18 11 4 -3 -5 -1 -0 -0 -1 -0 0 1 1 1 1 2 3 2 0 1 1 -1 -1 -1 -1 -0 1 1 1 2 5 9 12 13 9 5 3 2 3 3 5 5 4 5 6 5 5 4 3 2 3 6 6 3 3 2 2 2 3 3 4 5 4 5 4 4 4 3 4 4 4 5 6 6 7 7 7 6 6 6 6 7 7 7 9 9 8 7 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 8 9 9 8 7 7 7 7 7 5 3 3 4 5 5 7 7 5 4 4 5 6 6 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 3 2 3 3 4 4 4 4 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 7 8 8 6 5 3 3 4 4 4 5 5 6 6 6 6 5 4 4 5 4 4 4 3 3 3 2 2 2 2 2 2 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 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 4 4 5 5 6 7 9 13 16 16 13 12 14 13 8 3 0 -0 3 5 5 8 10 10 9 9 9 9 10 10 10 10 9 7 5 5 5 6 6 5 5 7 11 13 13 8 -1 1 3 5 12 14 11 4 -0 7 12 13 13 7 -2 -5 -1 2 2 3 5 5 5 3 2 1 2 2 1 3 5 4 2 2 3 4 3 3 4 7 7 5 5 7 7 6 7 5 4 5 4 3 3 5 7 9 9 6 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 7 6 5 5 4 4 4 5 5 4 3 2 1 2 5 6 8 9 8 6 5 5 4 4 4 5 5 5 5 5 4 3 2 2 3 3 3 3 3 3 4 6 12 18 14 7 3 0 2 2 0 -2 -4 -1 -0 -0 0 0 1 2 3 3 3 3 1 1 1 1 1 3 3 3 4 5 6 7 8 7 5 3 4 5 5 5 4 5 6 6 4 2 2 5 3 2 5 6 6 5 4 3 2 2 2 4 4 4 4 5 5 4 3 3 4 4 5 5 5 6 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 8 9 9 9 9 9 10 9 8 7 6 8 10 9 8 7 7 8 7 5 3 4 6 6 6 6 7 6 4 4 5 6 6 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 2 2 3 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 6 7 7 7 8 7 6 4 3 3 3 4 5 5 6 6 5 5 5 5 5 6 6 6 5 5 5 4 3 2 2 2 2 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 5 4 5 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 11 15 18 17 13 13 14 13 8 4 2 1 2 3 3 6 10 11 10 9 9 9 10 11 11 11 9 7 5 5 6 6 6 5 4 7 13 14 11 6 -1 -1 1 3 8 19 17 5 1 3 2 3 3 3 2 1 5 6 2 1 3 4 2 2 3 3 3 1 1 4 6 5 2 3 4 3 2 3 4 7 8 8 9 7 6 6 6 6 5 5 4 2 3 6 9 9 8 5 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 3 4 5 6 6 6 5 5 5 5 5 5 5 4 2 1 1 3 4 5 5 6 6 8 8 6 4 3 4 4 5 6 6 6 5 4 3 2 2 3 3 3 3 3 4 5 8 17 18 11 6 4 6 6 3 0 -2 -2 -2 -1 0 1 1 2 4 5 4 4 4 4 3 3 3 3 3 4 4 3 4 4 5 6 7 5 5 7 5 4 3 5 8 6 3 2 3 5 3 1 4 6 6 6 6 5 4 3 3 3 4 4 4 5 6 6 5 4 4 4 4 4 5 5 5 6 7 7 6 6 6 7 8 9 9 9 8 7 6 7 7 7 7 8 8 8 8 9 9 9 8 7 5 5 7 9 9 9 8 7 8 8 6 3 3 6 7 7 6 6 5 4 5 6 7 7 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 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 5 5 6 6 7 8 7 4 3 3 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 6 5 4 4 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 8 13 18 20 17 15 15 15 13 9 6 4 3 3 3 2 4 9 11 11 9 9 9 10 12 12 11 10 7 5 5 6 7 6 5 6 8 13 12 8 6 1 -1 3 2 4 20 19 8 3 0 -5 -5 -4 2 11 15 14 10 3 1 2 2 1 3 5 6 5 3 2 4 5 4 2 4 4 3 2 3 5 6 7 9 10 8 6 6 6 5 5 5 3 2 3 6 10 10 7 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 5 5 4 3 3 4 6 6 6 6 6 5 5 5 5 5 5 4 2 1 2 4 5 4 3 2 3 7 10 9 6 3 3 3 4 5 6 6 5 4 3 2 2 2 3 3 3 3 4 4 5 10 18 18 11 6 6 7 5 4 3 1 -2 -3 -1 2 2 1 3 5 4 4 5 4 2 1 2 1 2 4 4 3 3 4 4 5 6 7 6 6 5 4 4 6 7 5 4 4 4 5 3 3 4 4 4 5 6 7 7 6 5 4 4 4 4 4 6 7 7 6 5 5 5 4 5 4 5 5 5 5 5 5 5 5 7 8 8 9 9 9 8 7 7 6 7 7 7 7 7 7 8 7 7 5 4 4 5 8 9 9 8 8 7 8 6 4 3 5 6 6 6 6 5 5 6 7 7 7 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 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 6 7 7 6 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 11 17 22 21 18 15 14 13 11 10 8 5 4 4 2 1 3 8 11 11 10 9 9 11 13 13 11 9 6 5 6 7 7 6 6 6 9 13 11 8 8 2 4 10 6 4 12 10 4 -0 -1 -4 -4 -2 3 16 19 14 8 3 3 2 2 2 4 5 5 6 4 2 3 5 4 3 4 4 4 3 3 4 5 5 7 9 7 6 6 6 4 4 4 4 4 4 6 9 8 5 3 3 3 3 3 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 5 7 7 6 6 6 6 6 6 6 5 5 4 2 2 3 4 4 3 2 2 2 5 9 12 10 6 3 3 3 4 5 6 5 5 4 3 2 2 3 3 3 4 4 4 3 5 10 18 19 11 7 8 7 6 5 3 2 -0 0 4 4 2 2 2 2 2 4 3 1 -0 0 0 1 4 5 4 3 3 4 4 5 6 5 4 6 6 7 7 7 6 5 5 6 5 5 5 5 5 4 4 4 5 7 9 9 7 5 4 4 4 4 6 8 8 7 6 5 5 5 5 5 5 5 5 5 5 3 3 4 6 7 7 8 8 8 8 7 6 6 7 7 6 6 5 6 6 6 5 3 4 5 7 8 8 9 9 7 8 6 4 3 4 4 5 6 6 5 5 6 7 7 6 5 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 3 3 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 4 4 3 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 5 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 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 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 6 6 7 11 19 25 26 22 17 12 8 6 7 7 6 5 4 3 2 1 3 8 11 11 10 10 10 12 14 13 10 8 6 6 6 6 6 6 6 6 8 12 10 10 9 4 8 13 8 2 4 3 -4 -7 -2 2 5 6 8 14 13 8 7 5 3 3 3 5 5 4 4 5 3 2 3 6 6 4 3 5 7 5 3 4 4 3 5 7 7 7 7 6 4 4 4 4 4 5 6 9 7 4 3 3 3 3 3 4 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 3 6 8 7 6 6 6 7 7 7 6 6 6 5 3 3 4 4 4 3 2 2 3 5 8 12 13 9 5 3 3 3 5 6 6 5 4 4 4 3 3 4 4 4 4 4 4 3 4 7 13 15 12 12 11 9 7 4 3 3 4 7 7 4 4 3 2 2 3 3 2 1 0 0 1 3 5 6 4 4 4 4 4 5 4 4 7 7 7 7 7 7 7 7 7 7 6 7 7 6 4 3 3 3 4 7 10 10 8 5 4 4 4 5 7 8 9 8 7 6 6 6 6 5 5 5 4 5 6 7 5 4 5 6 7 6 6 7 7 7 7 7 8 7 6 5 5 6 6 6 5 4 5 7 7 7 8 8 7 7 6 5 4 4 5 6 6 5 5 6 5 5 5 5 5 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 5 3 2 2 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 5 5 5 4 4 4 4 4 4 4 5 6 7 7 7 7 6 5 4 4 5 5 5 5 4 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 5 4 4 4 4 4 5 6 6 5 5 6 7 9 20 35 34 24 19 13 4 -1 -1 2 3 5 4 3 2 2 1 4 8 11 10 9 10 11 14 15 13 10 7 5 6 6 5 6 5 4 8 9 7 8 12 10 3 4 5 2 -1 4 5 -5 -9 -4 6 13 11 10 11 9 7 9 7 4 4 4 6 5 4 3 3 2 1 3 6 5 3 4 7 7 4 3 6 5 3 4 8 10 9 7 6 4 3 4 5 4 4 6 10 9 5 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 2 2 4 7 8 7 6 6 6 6 7 8 7 7 7 6 5 5 4 4 3 2 2 3 4 5 6 8 10 10 8 5 3 4 5 6 6 6 5 5 5 5 4 4 5 4 5 5 4 3 3 2 4 7 9 12 14 13 10 8 6 4 6 8 8 7 6 5 4 5 4 4 5 4 2 3 3 4 5 5 6 5 4 4 4 4 4 6 7 8 7 7 7 8 8 8 8 7 7 7 8 7 5 4 4 3 2 4 7 9 9 7 6 6 6 5 7 8 9 9 9 7 7 7 6 5 5 4 4 6 9 9 6 5 4 5 5 5 6 6 7 8 7 8 8 8 7 7 6 6 6 6 6 5 5 6 7 6 7 7 7 6 6 5 5 5 7 7 7 6 5 5 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 nan nan
nan nan nan 5 5 3 3 2 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 4 4 4 4 4 4 4 3 4 5 6 7 8 8 6 5 4 4 5 5 5 4 4 3 2 2 2 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 5 5 6 6 6 6 7 9 13 30 40 28 14 12 6 -5 -8 -3 3 5 4 3 2 2 1 2 5 9 12 11 10 11 12 15 15 13 9 6 5 5 5 4 3 4 7 14 12 4 7 11 8 4 1 -1 -3 -1 7 9 1 -4 -2 6 12 10 8 8 9 10 11 8 5 6 5 6 5 4 4 3 2 1 3 6 4 3 5 8 6 3 4 7 7 5 4 10 16 14 7 6 3 2 3 6 6 4 7 11 11 6 4 3 3 4 4 3 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 5 7 7 6 5 5 6 6 7 7 7 8 8 7 6 6 5 4 3 3 3 3 4 5 5 5 7 8 7 5 4 4 6 7 7 6 6 5 5 5 5 5 5 5 5 6 5 4 3 2 1 1 2 5 8 10 10 9 9 7 7 10 11 9 7 6 5 5 4 4 7 5 4 6 5 4 5 3 5 6 4 3 4 4 4 5 7 7 6 6 6 7 8 7 7 7 7 8 8 8 7 6 5 4 3 3 5 6 7 8 8 8 7 6 6 7 7 8 8 8 7 6 5 6 5 5 4 6 8 7 7 7 6 6 6 6 6 6 7 8 8 8 9 9 8 8 7 6 6 6 6 5 6 6 6 5 5 6 7 6 5 6 6 7 8 8 7 6 5 4 5 6 6 6 6 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 8 6 6 5 3 3 3 3 2 2 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 5 5 4 4 4 2 3 4 5 6 7 8 8 6 5 4 4 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 5 6 6 7 6 6 7 8 11 17 26 26 18 8 4 0 -10 -12 -1 7 10 7 4 2 2 2 3 6 10 13 13 11 11 13 15 14 12 8 5 4 4 5 4 2 4 9 13 15 8 8 8 5 5 4 1 -0 4 9 8 7 5 3 4 6 7 9 11 10 11 11 7 6 7 7 6 5 4 4 3 3 2 3 5 5 4 6 8 5 2 4 7 8 8 6 9 20 18 9 5 1 -1 2 7 9 7 7 11 10 6 5 4 3 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 3 3 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 5 5 6 5 5 6 6 5 4 4 5 6 7 6 6 5 5 6 5 6 6 6 7 7 7 6 6 5 4 4 4 4 5 4 4 4 5 5 5 4 4 6 9 8 7 6 5 5 5 5 5 5 5 5 5 6 7 6 4 3 2 1 1 2 2 4 6 6 6 6 6 9 13 11 7 7 6 4 2 3 7 6 4 7 6 5 6 3 4 5 3 3 2 2 3 4 5 6 6 5 5 5 6 6 6 6 6 7 6 7 8 8 7 6 4 3 3 5 6 8 8 8 8 6 6 6 6 6 7 6 6 5 5 7 8 6 6 5 6 6 7 7 7 8 9 9 8 8 9 9 8 8 8 9 8 8 7 5 5 5 6 5 5 6 5 4 4 6 6 6 6 6 7 7 8 7 6 6 6 5 6 6 7 6 5 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 10 7 7 7 5 4 3 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 5 5 4 3 2 3 3 4 6 7 7 7 6 6 5 5 5 4 3 3 3 3 4 4 3 4 4 5 5 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 10 14 18 16 15 18 9 -1 -2 -6 -8 -0 6 9 9 7 5 3 3 5 8 12 16 15 12 11 12 13 13 10 6 3 2 4 5 3 2 6 8 6 10 10 10 6 2 4 4 6 7 7 5 4 6 7 4 2 3 6 12 15 11 10 9 7 6 7 8 7 6 4 3 4 4 5 5 5 5 5 6 7 4 1 5 6 5 8 7 9 18 17 10 5 -1 -3 1 9 14 11 8 10 9 7 6 4 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 5 5 5 6 7 6 5 5 4 5 5 6 5 5 5 4 4 5 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 6 11 11 6 4 4 4 4 4 5 5 5 5 5 6 6 7 7 5 3 3 3 2 2 2 2 3 4 4 4 5 7 10 8 7 7 3 3 3 5 5 4 6 6 5 6 5 4 4 4 3 2 2 3 3 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 9 7 6 4 3 4 5 7 7 8 8 7 5 5 6 6 6 5 5 4 5 7 7 7 7 6 4 4 5 6 6 7 9 10 10 10 10 10 9 9 9 8 7 7 5 4 4 5 6 6 5 5 5 3 3 5 6 5 5 5 5 4 5 6 6 6 6 6 6 5 5 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 11 8 8 8 7 6 5 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 5 5 6 6 4 3 3 3 3 4 5 6 6 6 6 7 6 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 3 4 5 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 8 8 8 7 8 10 13 18 19 12 12 18 6 -8 -4 -3 -4 -0 3 5 7 8 7 6 5 7 10 14 16 16 13 10 10 11 10 6 3 1 2 4 4 3 4 10 8 3 2 8 14 9 2 2 5 8 8 4 0 3 5 4 4 4 5 7 13 14 10 8 7 6 5 6 7 6 4 2 2 5 6 7 6 7 5 3 5 5 3 1 5 6 7 9 9 11 16 15 9 4 -0 -3 2 11 17 12 10 11 9 7 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 6 5 4 4 4 5 5 4 4 3 4 4 5 6 6 5 5 6 6 5 5 5 5 5 6 6 5 5 4 4 4 3 2 5 12 14 9 3 2 3 4 5 5 4 4 5 5 5 5 6 7 7 6 5 4 4 3 3 2 2 3 3 4 4 4 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 2 3 3 4 4 4 4 5 4 4 4 4 4 5 5 6 5 6 7 7 8 7 5 4 3 4 5 6 7 7 6 6 5 5 6 6 6 5 4 5 6 6 6 7 7 5 4 3 4 4 6 7 7 7 8 7 8 9 9 9 8 8 7 6 4 4 5 6 6 6 6 5 3 4 5 6 4 3 2 1 2 3 5 6 6 5 6 5 5 4 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 10 8 6 6 6 5 6 8 8 7 4 3 2 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 5 6 5 4 3 3 4 4 4 4 4 5 7 7 7 7 6 5 4 3 4 5 5 5 5 4 3 3 3 2 2 3 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 8 8 8 10 14 20 23 19 9 9 14 1 -13 -8 -3 -2 0 2 5 7 7 7 7 8 10 12 14 16 14 11 9 9 8 5 0 -1 1 3 3 1 1 8 14 12 6 -1 3 14 11 1 2 8 10 7 5 3 5 5 4 5 7 8 10 12 12 9 7 6 5 5 5 5 4 2 1 1 5 8 3 -2 7 10 2 4 4 1 2 4 6 10 13 13 11 14 17 11 4 -0 -2 3 13 17 11 10 13 10 6 5 4 4 3 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 4 3 3 4 4 5 5 5 6 6 5 5 4 4 4 4 3 3 3 4 5 6 6 7 6 5 5 6 5 5 5 5 6 5 5 5 4 4 4 4 4 3 5 11 16 13 6 3 3 4 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 3 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 3 3 4 4 5 4 4 4 3 3 4 5 6 6 6 6 6 6 7 6 5 4 3 3 5 6 5 5 5 5 5 6 7 8 8 6 5 5 5 6 7 7 5 3 3 3 3 3 4 4 5 4 3 3 5 6 7 8 9 9 9 8 7 6 6 6 6 7 7 6 6 6 6 5 2 0 1 3 4 4 5 4 4 4 5 4 4 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 7 7 6 6 5 3 3 5 10 12 10 9 6 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 5 5 5 4 4 4 4 5 4 4 4 4 5 5 6 7 6 5 4 4 4 4 5 5 5 5 4 3 3 2 2 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 7 9 9 8 8 10 15 22 26 23 13 4 4 5 -6 -12 -8 -3 -1 1 3 5 7 7 7 8 10 11 13 15 15 13 11 9 8 5 1 -2 -0 2 2 1 -0 1 10 12 9 6 -2 0 8 6 1 3 7 9 14 13 11 10 5 5 7 9 10 13 13 10 9 8 6 4 3 4 3 2 1 2 5 8 7 -6 -11 10 16 3 3 3 0 2 3 7 12 15 12 9 16 23 16 5 -2 -3 4 14 14 10 10 15 12 6 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 5 5 6 6 5 5 4 4 4 3 3 2 3 5 6 7 6 6 7 8 8 8 7 6 5 5 5 5 5 4 4 3 4 4 5 6 6 8 13 15 12 8 6 6 6 5 4 4 3 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 7 7 6 6 6 7 6 6 5 3 3 3 4 4 4 4 4 4 4 5 6 7 6 6 6 5 5 6 7 6 5 3 3 3 3 2 3 4 5 5 6 7 8 9 9 8 6 5 5 6 6 4 2 3 3 3 3 3 3 3 3 3 2 2 4 5 7 8 9 10 11 11 10 9 8 7 7 8 9 8 7 6 4 2 2 2 3 4 4 4 3 4 4 4 4 4 4 3 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 4 6 7 7 5 3 1 3 7 10 10 13 14 10 5 4 4 4 4 4 2 2 2 2 2 3 3 3 3 5 5 5 5 4 4 4 5 5 5 4 4 4 4 5 5 6 5 5 4 3 3 4 5 6 5 4 3 3 2 2 2 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 6 6 7 8 8 8 8 9 15 26 31 26 15 4 -1 1 -3 -10 -11 -6 -2 1 3 5 6 6 6 7 9 11 12 15 16 15 15 14 11 8 4 1 1 2 3 1 2 5 7 6 3 5 2 -2 -0 3 2 1 1 1 3 18 23 17 9 3 5 7 7 10 14 14 10 9 7 5 4 3 3 2 2 2 4 8 8 3 -10 -8 17 22 7 3 2 1 3 4 7 12 13 10 13 24 29 19 6 -1 -3 5 13 12 8 9 15 13 6 4 4 4 4 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 4 5 5 4 4 4 4 5 4 3 3 3 3 5 7 7 6 5 6 8 9 9 10 9 7 6 6 6 5 4 3 3 4 5 6 7 6 6 7 11 15 15 11 7 5 5 4 4 3 3 4 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 5 7 7 6 5 4 3 4 4 3 3 4 4 5 6 7 8 6 7 7 4 5 6 7 7 6 5 3 2 1 1 1 2 3 4 5 5 6 8 10 11 9 7 6 6 5 5 3 2 3 3 3 3 4 4 4 4 3 2 2 3 5 5 6 7 8 11 13 13 13 11 9 9 8 7 7 5 4 3 4 4 5 5 4 3 3 2 3 4 4 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
nan 5 7 9 8 6 4 3 2 4 5 6 12 19 17 11 8 6 5 5 4 4 3 2 1 2 2 2 3 3 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 3 2 2 2 4 5 5 5 3 2 2 1 2 2 3 3 3 4 4 4 3 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 8 8 8 9 14 24 35 34 18 1 -2 3 8 -1 -10 -9 -4 0 3 5 6 7 6 7 8 9 11 14 17 18 17 17 16 12 6 3 4 4 3 2 -0 2 8 10 3 1 9 9 3 1 2 2 0 -2 -1 2 15 24 16 6 5 7 6 7 9 12 12 9 6 4 3 4 3 2 1 1 2 4 6 5 -1 -6 3 21 20 8 2 1 2 2 0 2 8 10 11 21 32 30 18 7 -0 -0 6 12 11 7 8 14 13 6 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 3 4 4 3 3 3 4 4 4 4 4 3 3 4 6 7 6 6 5 6 7 7 8 9 9 7 6 6 5 4 3 3 4 5 6 6 5 4 3 5 9 15 15 11 6 5 4 4 4 4 4 4 4 4 3 3 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 7 7 6 5 4 4 4 4 5 6 6 6 5 4 4 4 4 3 4 5 5 6 7 7 8 6 3 4 5 6 6 7 7 6 4 3 1 1 0 0 1 2 3 4 5 6 8 11 11 7 6 6 6 6 4 2 3 4 3 3 4 4 4 4 4 2 2 2 3 5 5 4 4 6 10 12 12 12 12 10 6 5 4 4 5 5 5 5 6 5 5 4 3 1 2 3 4 4 4 4 4 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 6 7 8 8 7 6 4 3 3 2 2 7 15 17 15 13 10 8 6 5 5 4 3 2 1 2 2 2 3 3 4 5 4 4 4 4 4 5 6 5 5 4 5 5 5 4 3 3 2 1 1 2 3 4 5 5 3 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 7 7 8 10 13 20 29 35 29 9 -8 -3 6 4 -4 -9 -5 0 3 5 6 7 7 7 7 10 11 12 15 18 18 18 16 13 7 2 2 4 3 2 1 1 2 4 7 7 8 12 13 10 5 2 2 -0 -2 1 7 14 17 11 5 6 8 8 7 8 9 9 3 -1 2 6 6 3 -1 -2 -1 1 3 5 3 -2 -1 11 19 13 6 2 -2 -2 -0 -2 -1 5 8 10 22 33 28 15 6 1 3 8 10 9 7 8 12 12 5 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 5 5 5 4 4 5 5 5 6 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 2 3 3 4 3 4 4 5 5 5 4 3 4 5 6 6 6 5 5 5 4 4 5 6 6 5 5 5 5 3 3 3 5 6 5 3 1 1 2 4 8 12 12 10 6 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 6 5 5 4 4 4 4 4 5 6 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 2 -0 3 5 6 6 7 7 7 7 5 3 2 1 1 0 2 2 3 2 2 4 8 9 7 6 6 8 8 6 4 4 4 3 3 3 3 4 4 5 4 2 2 3 4 5 4 3 4 5 6 7 9 10 9 8 6 4 4 5 5 5 5 6 6 6 5 4 3 3 4 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 5 5 6 6 6 5 4 3 3 2 1 3 7 11 12 13 14 12 9 7 6 5 4 3 2 2 2 2 2 3 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 4 4 4 3 3 2 2 2 3 3 2 2 1 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 6 7 8 8 8 11 13 17 20 22 25 22 7 -7 -5 -5 -15 -11 -4 1 3 5 6 6 6 7 7 9 12 13 13 15 16 16 16 12 6 2 1 1 1 2 1 2 4 4 4 8 12 12 9 10 9 5 3 3 1 1 6 12 13 11 7 4 4 7 8 7 6 7 6 -4 -7 6 15 10 2 -2 -3 -1 2 4 6 5 1 4 13 14 8 6 4 -5 -9 -1 4 4 6 7 10 21 30 24 13 6 3 4 8 9 7 6 8 11 10 5 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 5 5 4 4 4 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 5 6 6 5 5 5 5 4 3 3 3 4 4 3 4 5 4 4 4 4 5 5 3 2 2 2 2 3 6 8 9 8 6 4 4 4 4 4 4 3 3 3 3 3 4 5 5 6 5 5 5 6 5 5 5 5 5 5 6 7 7 8 9 9 8 6 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 5 4 4 5 5 5 6 5 0 -1 3 5 6 6 7 7 8 8 7 6 5 3 3 2 2 3 2 1 0 1 4 7 7 6 7 8 10 8 5 4 4 4 3 3 3 3 4 5 4 3 3 3 4 5 4 3 3 3 4 5 6 7 8 9 7 6 5 4 4 4 5 6 6 6 6 5 4 4 5 5 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
nan 4 4 4 4 4 3 3 2 2 2 1 2 3 5 6 8 12 13 12 9 7 6 6 5 4 2 2 2 2 2 3 4 4 4 4 3 3 4 4 4 5 5 4 5 5 6 5 4 3 2 2 3 3 4 3 3 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 3 3 3 4 5 4 5 5 4 4 4 4 3 3 4 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 4 4 5 5 6 8 9 9 12 14 16 15 13 12 15 18 9 -3 -6 -8 -13 -7 2 5 6 5 5 6 6 6 8 10 13 15 15 15 15 14 10 5 0 -1 -1 -4 -3 3 4 6 6 5 8 8 7 13 14 9 5 5 5 3 4 6 10 13 12 10 7 5 6 7 7 6 4 6 4 -7 -7 14 22 11 2 -2 -2 2 4 4 3 4 4 6 9 8 7 8 7 -3 -8 1 12 11 6 7 13 22 25 19 12 6 4 5 7 8 7 5 7 10 8 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 5 5 4 4 4 5 5 5 6 5 6 6 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 5 5 5 6 6 5 5 5 5 5 5 4 5 5 4 4 4 5 5 4 4 4 5 5 4 3 3 2 1 2 3 5 6 6 5 3 2 3 4 3 3 2 2 2 2 2 3 4 5 6 6 5 5 5 5 6 5 5 5 5 5 6 6 7 9 9 8 5 3 3 4 4 5 5 5 6 7 7 7 6 6 5 5 6 7 6 5 5 5 4 5 6 4 -0 -1 3 4 5 6 7 7 7 8 8 8 6 5 5 4 4 3 -0 0 1 0 1 4 7 7 7 8 9 8 5 4 4 4 3 3 3 3 3 4 4 4 3 3 4 5 5 4 3 3 3 3 4 5 6 7 7 6 6 5 4 4 4 5 6 6 6 5 4 5 6 6 5 4 4 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 6 5 4 4 4 4 4 4 3 2 1 1 2 2 1 2 6 10 11 9 7 7 7 6 5 4 3 3 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 6 6 4 3 2 2 3 3 4 4 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 4 3 3 4 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 5 5 5 8 12 11 12 14 15 13 10 8 7 14 20 12 3 0 2 2 3 6 6 6 6 6 6 6 6 7 10 14 17 17 15 14 10 4 -2 -3 -1 -4 -5 -0 5 7 7 5 6 10 7 3 9 13 9 4 9 9 5 5 7 8 10 9 8 9 10 10 8 7 5 2 6 7 -4 -2 17 21 10 2 -1 0 4 6 4 3 4 6 6 5 4 6 11 9 2 -1 6 17 15 7 8 15 21 20 13 8 5 4 5 7 7 7 6 7 10 8 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 5 5 6 6 5 6 6 6 6 5 4 4 4 5 5 6 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 6 7 6 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3 2 2 3 3 3 2 2 0 -0 1 1 2 2 2 2 1 1 1 2 3 5 6 6 6 5 5 6 6 6 6 5 5 5 5 6 6 8 8 6 3 3 3 4 5 6 6 7 7 7 7 7 7 7 6 5 6 7 6 6 6 5 4 5 6 5 2 2 3 4 5 6 7 7 7 7 8 9 8 7 7 6 6 3 1 1 1 0 0 2 3 4 5 6 6 6 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 3 3 3 3 4 4 5 6 6 6 6 5 4 5 5 5 6 5 5 4 4 5 6 5 4 4 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 7 7 7 6 5 6 6 7 6 3 1 -0 -0 -2 -3 -4 0 6 8 8 8 7 7 7 6 6 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 6 5 4 3 2 3 4 4 4 4 4 3 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 5 5 5 5 4 5 5 5 5 4 5 5 5 6 9 14 13 13 12 10 9 8 8 13 25 26 14 9 9 10 9 8 8 7 6 7 6 6 6 6 8 11 15 18 18 15 11 6 1 -1 1 2 0 3 7 6 5 5 4 6 8 9 11 12 9 7 7 13 10 7 7 6 4 4 3 3 8 12 10 8 7 4 2 7 10 2 4 16 17 7 1 1 3 5 4 3 4 6 4 3 5 5 6 8 6 4 4 6 13 16 11 12 16 15 10 6 5 3 3 6 7 7 7 6 7 9 8 5 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 3 4 4 5 5 6 7 7 6 6 6 6 5 4 4 5 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 6 6 5 5 6 7 7 7 6 5 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 3 4 4 3 2 1 -1 -2 -1 -1 0 1 1 1 1 0 -0 -0 1 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 5 3 2 2 3 4 6 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 6 7 7 7 7 7 8 8 8 7 7 7 6 4 3 3 1 0 -1 -1 1 2 4 5 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 5 6 5 4 4 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 9 9 9 10 11 11 7 2 -0 -1 -3 -4 -5 -2 2 5 5 6 7 7 7 7 6 5 4 4 3 3 3 2 2 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 4 3 3 4 4 5 5 4 3 1 1 0 1 1 2 3 3 3 3 4 3 3 4 4 4 4 4 5 5 4 4 4 5 5 5 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 5 4 4 4 5 5 5 5 5 6 8 11 15 13 11 9 7 8 9 12 21 29 22 10 9 12 13 11 9 7 6 6 6 6 6 6 6 9 12 16 19 17 13 9 6 6 7 7 6 5 7 8 5 2 2 4 7 7 7 12 16 12 7 10 11 7 10 13 8 4 1 -1 3 8 10 8 6 5 4 4 9 13 9 9 16 14 4 -1 2 5 3 -0 0 5 8 3 3 9 8 5 4 3 2 4 1 4 13 18 17 14 7 -1 0 3 2 5 10 9 7 7 6 7 9 8 5 6 6 6 5 5 4 3 4 5 5 5 5 5 4 3 4 4 5 5 5 5 4 4 4 3 4 4 5 6 7 7 7 6 5 5 5 5 4 5 6 6 6 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 6 6 7 6 6 6 5 6 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 5 5 4 5 4 3 2 1 -1 -2 -2 -0 1 1 2 2 1 0 -0 0 2 4 5 5 4 5 6 6 6 6 6 6 6 5 5 5 4 2 1 1 2 3 4 6 7 8 8 8 7 7 6 6 6 7 7 6 6 7 7 7 5 4 4 5 5 5 6 6 5 5 6 6 8 8 7 7 8 9 9 8 8 8 7 7 5 5 4 2 -0 -1 -1 -0 1 2 2 2 2 3 3 3 3 3 3 4 3 4 3 2 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 9 11 11 12 13 14 11 5 2 1 0 -1 -1 -1 1 3 4 5 5 7 7 7 6 5 5 5 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 5 7 7 6 3 3 3 4 5 5 4 3 2 0 0 1 1 2 2 2 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 3 3 2 2 2 2 2 3 4 4 4 4 5 4 4 4 3 3 3 3 4 4 5 5 5 4 5 4 4 4 5 5 5 5 6 9 11 14 15 12 9 7 7 8 10 12 20 15 5 2 6 10 10 9 7 6 5 5 6 6 6 7 7 9 13 17 18 12 10 11 12 15 13 9 5 3 2 2 3 3 5 6 8 9 6 6 13 14 8 9 3 4 14 18 11 7 4 4 11 15 11 7 5 5 5 6 14 17 13 11 15 11 0 -4 3 5 1 0 3 10 13 10 11 14 8 4 4 2 1 6 4 0 13 23 17 11 1 -6 0 5 5 10 13 11 8 7 6 6 9 9 5 5 7 6 5 5 4 4 4 5 5 6 6 5 4 3 3 4 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 6 6 5 4 4 4 4 5 6 6 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 4 3 3 2 1 -1 -0 1 2 3 3 3 2 2 2 3 4 4 4 5 5 5 6 7 7 7 6 6 5 6 5 2 -0 -0 0 1 3 4 6 7 8 8 8 7 6 5 6 6 7 7 6 6 7 7 7 6 4 4 5 5 5 6 6 5 5 5 7 7 8 7 7 8 9 9 9 8 8 8 8 6 6 5 5 3 1 -0 -0 -1 -1 -1 -1 0 1 1 2 3 4 4 4 4 3 2 2 1 1 1 1 2 2 3 3 3 3 2 2 2 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 4 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 6 8 9 9 11 13 11 8 6 5 4 4 4 4 4 4 3 3 5 5 5 6 6 5 6 6 5 5 5 5 6 5 3 3 4 4 3 3 2 4 4 4 4 4 4 6 9 7 3 2 2 3 4 4 4 3 1 0 0 0 1 1 2 2 2 4 5 5 5 6 6 7 6 5 5 5 4 4 4 4 5 4 5 5 4 3 3 3 2 2 2 3 4 4 5 4 5 4 4 4 4 3 3 3 4 4 5 5 5 4 5 4 4 5 5 5 5 5 9 13 14 13 11 9 8 8 7 8 9 9 11 2 -7 -1 6 7 6 6 6 4 4 5 6 7 7 7 8 10 14 19 16 7 8 15 17 17 12 7 4 2 -0 0 1 4 8 7 8 10 6 3 8 12 10 6 -2 4 16 17 11 8 8 12 19 18 11 9 10 11 10 9 15 17 12 10 10 7 -3 -3 7 7 4 5 7 11 14 14 15 11 5 4 5 3 6 15 15 7 19 25 16 8 -1 -4 5 9 11 14 14 11 8 7 5 6 9 9 5 5 7 6 5 5 4 4 5 5 5 6 5 5 4 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 6 7 7 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 4 5 4 4 3 2 3 3 4 5 5 5 5 5 5 5 6 6 6 5 5 6 7 7 7 7 7 6 6 6 3 -0 -2 -2 -0 1 3 5 6 7 8 8 7 6 6 6 6 6 6 6 7 7 7 8 6 3 4 6 5 4 5 5 5 4 5 6 7 8 8 8 8 8 8 9 9 8 8 7 6 6 7 7 6 4 2 1 1 -1 -2 -2 -1 -1 1 2 3 4 4 5 4 3 2 1 1 1 1 1 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 4 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 4 4 4 4 5 6 8 10 9 8 7 5 6 6 7 6 5 4 3 4 4 5 5 5 6 6 6 7 6 6 7 9 10 8 5 4 4 4 3 2 3 4 4 5 5 4 6 8 7 4 3 3 3 3 4 4 3 1 1 0 1 1 1 1 2 2 4 5 5 5 6 7 7 7 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 5 5 8 13 13 9 8 8 8 7 7 7 7 7 6 -0 -7 0 6 4 4 5 5 4 4 5 6 7 7 7 10 12 16 19 14 4 6 15 15 10 7 6 1 0 1 3 4 6 7 7 8 9 7 5 5 7 10 9 2 4 12 12 9 10 12 16 18 12 7 11 16 14 8 5 10 13 11 9 8 3 -5 0 11 8 5 5 6 4 5 9 9 4 2 5 8 6 7 15 18 16 24 23 13 6 -2 0 11 15 14 15 13 10 8 6 5 6 9 9 5 5 7 6 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 3 3 4 4 5 5 5 6 6 6 7 6 6 7 6 5 6 5 5 5 5 5 5 5 6 6 6 5 5 6 7 7 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 6 5 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 3 -0 -2 -2 -0 2 5 6 6 7 8 7 6 6 6 6 7 7 6 6 7 8 8 7 4 6 8 5 3 4 4 4 4 5 5 6 7 9 9 8 8 8 9 9 9 8 7 7 6 7 8 7 6 3 2 2 2 1 0 0 1 1 3 3 4 4 4 5 4 3 2 2 1 1 1 2 3 3 3 3 3 2 2 1 1 1 2 2 3 3 3 3 3 2 2 2 2 3 4 5 4 4 4 4 4 5 5 5 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 2 2 2 4 6 8 7 7 5 5 6 7 6 5 5 4 4 4 4 4 5 5 6 6 7 7 7 8 11 15 13 9 6 4 4 3 2 2 3 4 5 5 5 5 6 6 4 3 3 3 3 3 3 2 1 1 1 1 1 1 1 1 2 3 4 5 5 6 6 7 7 7 6 5 5 5 5 4 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 6 5 5 5 6 11 12 8 8 9 8 7 6 7 6 7 7 3 -2 1 2 3 3 4 4 5 4 5 6 7 7 9 12 14 15 15 8 0 4 12 11 2 3 1 -3 -2 3 7 7 7 8 8 9 8 7 6 2 0 7 9 6 5 9 9 7 10 13 15 15 10 8 12 13 9 3 1 6 10 7 7 8 1 -1 6 13 9 2 -2 -7 -7 -1 5 4 -0 1 6 10 8 6 5 9 19 26 19 11 5 -1 4 16 19 15 13 11 8 7 6 5 5 8 9 6 5 7 6 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 3 3 3 4 4 4 4 5 5 6 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 5 6 6 5 6 7 7 6 6 8 8 7 6 5 6 6 7 6 6 5 5 6 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 9 10 10 9 9 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 5 1 -1 -1 2 4 5 6 7 7 7 6 7 7 7 7 7 7 7 7 8 9 7 6 7 6 3 3 3 4 4 4 5 5 4 6 8 9 9 8 8 9 10 9 9 8 7 6 6 7 7 6 5 4 3 4 5 4 3 2 3 3 4 3 4 4 4 4 5 5 4 2 1 1 2 3 3 4 4 4 3 2 2 1 1 1 1 2 3 4 4 3 3 2 2 2 2 2 3 4 4 4 4 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 2 3 3 3 3 3 2 2 2 4 5 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 6 7 10 14 15 11 7 6 5 4 3 3 3 4 5 6 5 5 6 6 4 3 3 3 4 3 3 2 1 2 2 2 2 1 1 1 2 3 3 4 4 5 6 7 7 7 6 5 5 4 5 5 5 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 5 5 5 5 5 6 10 12 10 10 9 8 6 6 7 6 9 10 6 1 0 -0 2 2 3 4 4 4 5 6 7 9 12 14 13 11 8 4 2 5 11 11 4 4 3 1 3 4 4 6 6 7 9 9 8 6 3 -2 -1 5 9 7 7 12 12 9 7 8 9 13 17 14 9 8 7 2 3 11 12 8 6 8 4 5 10 10 5 1 -7 -11 -4 6 6 -0 -4 1 7 9 9 6 -2 0 18 25 17 10 4 2 8 17 18 15 11 9 8 6 5 4 5 8 9 7 6 8 7 6 5 5 5 5 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 5 4 5 6 7 7 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 6 6 6 7 7 7 6 7 9 10 9 7 6 6 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 7 8 8 7 6 7 8 9 9 11 11 10 9 8 8 8 7 6 6 5 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 11 12 5 1 2 3 4 5 5 6 7 7 6 6 7 8 8 8 7 6 7 8 8 8 7 7 5 2 2 3 3 3 4 5 5 4 5 6 8 8 7 6 7 9 10 10 9 8 7 8 7 7 7 6 5 5 6 6 5 4 4 3 3 4 4 4 4 3 4 5 6 6 5 3 2 2 3 3 4 4 4 4 4 3 2 2 2 2 3 3 3 3 4 4 3 3 2 2 2 3 4 4 4 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 5 3 3 2 3 3 3 3 3 3 4 6 7 8 8 7 7 6 7 7 6 5 5 5 5 5 5 6 6 7 7 6 6 7 9 11 10 8 7 7 6 6 4 3 4 5 6 5 5 5 6 5 4 3 4 5 4 2 2 2 2 2 2 2 2 1 2 2 3 4 4 4 5 6 6 7 7 7 6 5 5 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 7 8 12 13 11 10 9 6 5 4 6 14 13 7 4 1 -0 1 3 3 5 5 5 5 6 9 12 14 13 10 7 6 7 9 11 13 12 9 6 7 7 5 -2 2 8 5 5 9 9 7 3 -2 -3 3 9 13 11 11 15 16 13 6 4 5 10 13 9 5 6 5 5 13 20 18 11 7 8 4 2 8 6 3 -2 -11 -11 7 22 13 -4 -5 4 6 5 7 4 -4 1 19 24 16 8 3 4 10 16 16 13 10 8 7 6 4 3 6 9 7 5 6 7 7 6 6 5 4 4 5 5 5 4 3 4 5 7 7 6 5 4 4 4 4 4 5 6 7 7 6 5 5 4 4 5 5 5 5 5 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 7 8 9 8 7 6 6 7 9 9 9 8 7 6 6 6 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 5 6 6 7 7 7 7 7 7 8 8 8 8 8 6 5 5 6 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 9 9 8 9 9 8 6 6 11 14 8 5 5 5 5 4 4 6 7 6 6 6 8 8 8 8 8 7 7 8 8 9 9 6 4 2 2 2 3 3 4 5 5 4 4 5 7 7 6 5 5 7 9 9 9 8 8 8 8 7 7 7 7 6 7 7 6 5 4 3 3 3 4 4 4 3 4 4 6 6 6 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 4 3 3 3 3 3 4 4 4 6 7 9 10 9 8 7 8 9 8 7 6 5 5 5 6 7 7 6 7 7 7 7 7 8 8 7 8 8 9 9 8 6 4 4 5 5 5 5 6 6 5 5 5 5 4 2 2 1 2 3 2 2 2 2 2 2 3 4 4 4 5 5 6 7 7 8 7 6 5 4 4 4 5 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 14 16 12 11 9 7 4 2 8 13 11 7 5 2 1 2 3 4 5 5 5 5 8 12 13 12 10 7 8 8 10 13 15 15 12 9 4 2 7 6 -1 3 9 8 9 10 9 6 2 -1 1 6 7 11 15 14 14 14 10 6 4 5 7 4 -1 -1 4 7 13 21 25 19 10 4 1 -3 -3 7 7 2 -6 -12 -7 11 25 13 -7 -3 8 5 0 1 -0 -0 9 21 23 14 6 3 6 12 15 14 11 8 7 7 6 4 3 6 7 6 4 4 6 7 7 6 5 5 4 4 4 4 4 3 3 4 5 6 7 6 5 4 4 4 4 5 7 8 8 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 7 6 6 6 6 7 7 6 6 6 6 6 7 7 6 6 5 4 3 2 1 1 1 1 1 2 2 3 4 3 3 4 4 3 3 4 4 5 5 6 6 6 6 5 6 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 6 6 6 6 7 7 8 8 9 9 9 9 8 6 6 11 14 9 6 6 7 5 4 5 6 6 6 6 7 8 9 8 9 9 9 9 8 9 10 9 6 3 2 2 2 2 4 5 5 5 4 5 5 6 7 6 5 5 6 8 8 9 9 9 9 9 7 7 7 7 7 7 7 6 6 5 4 3 3 3 4 4 4 4 4 5 6 6 6 7 7 6 6 6 6 6 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 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 8 8 6 4 3 2 3 4 4 4 5 5 6 8 9 9 8 8 8 9 9 8 7 5 5 5 6 6 6 5 6 7 8 9 10 9 8 8 9 9 11 12 11 9 7 6 5 5 5 5 6 7 6 5 6 6 4 3 2 1 2 3 3 3 2 1 2 3 4 5 5 5 4 5 6 7 8 8 8 6 5 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 6 7 8 9 8 10 15 16 12 11 9 9 8 9 11 6 5 6 5 4 3 3 3 4 5 5 5 7 12 13 10 9 8 9 9 8 11 15 17 14 9 5 0 -1 6 10 6 4 7 11 13 11 8 7 4 4 5 2 0 5 13 15 13 9 5 4 3 3 1 -4 -3 2 7 12 16 19 19 14 6 1 -2 -4 3 12 10 2 -3 -4 3 14 19 7 -8 -2 9 8 2 1 2 7 16 22 19 10 4 4 8 13 14 12 9 8 8 6 4 3 3 6 7 7 5 4 5 7 7 6 5 5 4 4 5 4 3 2 2 2 4 6 7 6 4 3 3 4 4 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 8 8 7 6 5 5 5 5 5 5 4 4 4 4 4 4 3 2 1 0 -0 -1 -1 -1 -1 -0 0 1 2 2 3 3 3 4 4 3 3 3 4 4 4 5 6 6 7 6 6 5 5 5 5 5 6 5 5 4 4 5 5 4 4 4 5 5 5 5 6 7 7 7 8 9 10 9 6 4 7 12 12 8 6 7 7 7 5 6 6 5 5 6 7 8 8 9 10 12 12 11 10 9 10 9 7 4 2 2 2 2 3 4 5 4 4 5 5 5 6 6 6 5 5 5 7 8 9 10 10 8 7 6 6 6 5 6 7 6 6 6 5 4 4 3 3 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 4 4 4 5 5 4 4 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 5 3 3 4 4 5 5 5 6 6 7 6 6 6 6 6 7 7 7 6 5 5 6 6 5 4 5 7 9 11 12 11 10 10 10 10 11 11 11 10 9 7 6 5 4 5 6 7 7 6 7 6 5 3 2 2 3 3 3 3 2 1 2 4 5 5 5 4 5 5 6 7 8 8 9 7 5 3 3 3 3 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 5 5 5 6 7 9 9 8 8 10 16 16 12 11 11 12 15 22 17 3 2 5 5 4 4 4 4 4 4 5 6 9 13 13 9 7 8 10 9 9 13 16 16 11 3 0 2 4 4 -1 2 6 6 10 12 9 7 6 4 5 6 2 1 4 10 13 10 6 3 3 3 1 -3 -4 -1 7 12 14 14 14 12 9 4 -1 -3 3 13 16 10 4 2 2 7 11 15 6 -3 2 8 11 9 8 10 15 19 18 13 7 4 5 10 12 12 10 8 8 7 5 3 2 3 5 6 7 7 6 5 6 7 7 6 5 5 5 4 3 3 2 2 3 5 7 8 6 3 3 3 4 5 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 7 7 6 6 5 5 4 4 4 3 3 2 1 1 1 1 0 0 -0 -1 -1 -1 -1 -0 1 2 3 4 5 5 5 5 5 6 7 8 7 7 7 8 7 6 7 8 8 8 7 7 7 7 7 8 8 7 7 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 6 7 9 7 4 3 7 10 9 7 7 7 7 8 7 5 5 4 4 6 8 8 8 8 11 15 17 15 12 10 10 10 8 5 3 2 2 3 3 4 5 5 5 5 5 5 5 6 6 5 4 4 5 7 8 8 8 8 8 7 7 6 5 6 6 6 7 7 7 6 4 3 3 3 3 4 5 6 7 6 6 6 7 7 7 7 8 8 8 7 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 5 6 7 8 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 10 8 5 4 4 4 4 4 5 5 6 6 5 5 4 4 4 5 6 7 7 7 7 8 8 6 4 3 5 8 9 9 10 10 10 11 12 12 10 9 9 10 9 8 6 5 5 6 6 6 7 8 8 5 3 3 2 3 4 3 3 2 2 3 4 5 5 4 5 5 5 6 6 7 8 8 7 6 4 3 3 4 4 4 4 5 4 3 3 2 2 2 2 2 3 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 6 5 6 8 9 9 8 8 7 12 19 17 12 10 10 14 17 20 10 1 3 5 5 5 5 5 4 4 5 5 6 9 12 11 9 7 7 9 10 12 17 19 16 10 -0 -3 6 13 4 -9 -6 2 5 6 7 4 4 3 3 6 5 6 10 10 9 9 7 5 4 4 4 1 1 5 7 12 16 14 13 12 10 7 1 -5 -4 4 12 11 4 0 2 5 8 5 7 6 3 7 9 10 10 12 15 17 17 12 7 4 5 7 10 12 12 10 8 8 7 4 1 1 3 5 6 8 8 6 7 7 7 6 7 7 5 5 4 3 3 4 4 5 7 8 8 4 3 3 4 4 5 5 6 6 5 5 4 5 5 6 6 6 5 5 6 6 6 6 6 5 6 6 7 7 7 7 7 6 6 6 5 5 5 3 2 2 1 1 0 0 1 2 3 2 2 2 3 3 3 4 5 7 7 8 8 9 9 9 8 9 10 11 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 9 8 8 7 7 6 6 5 4 4 5 5 5 5 6 6 5 6 8 7 5 4 5 7 7 7 7 7 7 8 7 5 3 3 5 7 8 9 8 9 13 18 21 20 15 12 10 9 8 5 3 3 3 3 4 5 5 4 5 5 6 5 5 5 6 6 4 4 5 6 6 7 7 7 7 7 7 7 7 7 6 7 8 8 8 7 5 4 4 3 3 4 5 6 7 6 6 6 6 7 6 6 7 7 8 7 6 6 5 4 4 4 3 4 4 4 5 5 6 6 5 5 5 5 5 7 7 7 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 10 12 10 7 6 5 4 4 4 5 5 6 6 5 4 3 3 4 5 6 7 10 14 16 15 10 5 3 4 6 6 6 6 8 9 10 12 13 11 9 10 14 14 10 7 6 5 5 5 6 7 8 8 6 4 3 3 3 4 3 3 2 3 4 5 5 4 4 4 4 4 5 6 6 6 7 7 7 6 5 4 4 4 4 4 4 4 3 3 2 3 2 2 3 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 9 10 8 7 7 10 18 22 17 10 7 8 12 10 6 2 2 5 5 4 4 5 5 4 4 5 5 6 8 9 9 7 6 7 8 10 14 19 22 19 10 0 -1 10 13 5 -5 -4 2 6 5 2 0 1 3 5 7 3 6 9 9 7 6 6 5 4 3 4 3 6 11 13 15 14 13 13 12 10 6 0 -5 -5 0 5 3 -1 -4 0 6 7 3 2 6 7 9 10 10 11 13 16 16 11 5 3 4 5 8 11 12 12 11 9 8 6 3 1 1 4 5 6 7 6 7 10 9 7 6 7 7 6 5 4 4 4 6 7 7 9 9 6 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 5 4 3 2 2 2 2 3 3 5 6 7 7 6 7 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 11 11 10 9 10 10 10 10 10 10 12 13 14 12 11 10 10 11 11 10 8 7 7 6 6 6 6 6 6 5 6 9 10 8 5 5 5 6 6 7 7 7 7 6 3 2 3 6 8 9 9 8 9 13 19 23 22 17 12 10 9 8 5 3 3 3 2 3 5 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 7 8 8 9 8 8 8 8 9 7 7 6 5 5 5 4 5 5 6 6 6 6 6 5 6 6 6 6 6 6 7 7 6 6 6 6 5 6 6 6 7 8 8 8 8 7 7 5 6 7 6 5 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 7 12 13 11 8 6 4 3 3 3 4 5 5 5 5 5 4 4 5 6 8 12 20 24 25 20 12 5 4 5 5 4 4 5 6 9 12 13 14 14 19 24 20 11 7 6 6 5 5 6 7 8 7 6 4 3 3 4 4 3 2 3 4 4 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 6 6 5 5 5 5 4 4 4 3 3 2 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 5 5 6 7 9 10 8 5 7 13 21 28 25 15 8 4 3 4 -1 -3 3 5 5 4 4 3 4 6 4 4 5 5 5 6 8 8 8 8 8 7 8 11 16 22 19 12 5 4 7 10 10 7 7 9 9 7 3 2 2 4 6 5 4 4 3 2 3 5 7 6 4 4 6 9 12 14 13 11 9 10 10 10 7 3 -6 -8 -4 -1 1 1 -2 -2 1 6 6 2 3 8 10 11 11 11 12 15 14 11 4 1 6 8 7 9 12 12 12 11 9 7 6 3 1 2 4 6 7 6 5 8 13 10 4 4 7 8 7 5 4 4 5 7 8 9 9 7 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 7 6 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 5 6 7 8 8 8 8 9 10 11 12 13 12 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 12 11 11 12 12 13 15 15 13 12 12 13 15 15 13 11 9 8 8 8 8 8 9 8 6 7 10 11 9 8 7 6 6 6 7 7 6 6 7 3 -1 2 6 9 10 9 8 9 13 20 24 23 18 12 10 9 7 5 4 3 3 2 1 4 5 5 4 5 5 5 5 4 5 6 6 5 5 5 5 6 6 7 6 5 5 6 8 9 9 9 8 8 9 9 8 7 8 7 6 5 6 6 6 5 5 5 5 6 6 6 5 4 4 5 6 6 6 7 8 8 8 7 7 7 8 8 10 11 11 10 9 7 6 7 6 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 3 2 4 10 12 11 9 6 4 2 2 2 2 3 4 5 6 5 5 6 6 7 8 11 16 23 27 28 22 12 7 5 5 4 3 3 4 6 10 13 17 22 29 31 21 9 5 6 6 6 6 6 7 8 7 6 4 4 3 3 4 3 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 7 8 7 6 6 6 6 6 5 4 4 3 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 7 9 11 9 6 8 15 23 31 33 22 10 5 -0 -5 -6 -9 -3 4 6 4 3 3 3 4 6 5 4 4 4 5 6 8 10 11 10 10 8 6 7 12 16 15 12 10 9 5 7 11 14 15 13 10 7 6 5 7 6 4 3 6 4 1 1 1 5 7 7 7 8 11 14 16 15 11 8 5 5 6 7 2 -5 -12 -8 1 3 1 0 0 2 5 7 7 4 3 7 11 11 10 9 10 11 11 6 2 5 12 12 8 10 12 12 11 11 9 7 4 2 2 4 4 6 6 5 6 12 13 8 2 2 6 8 7 5 4 4 6 7 8 8 7 5 4 4 5 5 4 4 4 4 4 4 4 5 5 6 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 4 5 5 6 7 7 6 6 7 8 8 9 10 11 10 10 9 8 8 8 8 7 7 8 8 8 9 10 11 11 11 12 12 12 13 13 13 12 13 13 14 14 14 13 12 12 12 13 14 15 14 12 11 10 9 9 10 11 11 10 8 8 10 11 10 9 8 8 7 7 7 7 6 7 6 2 -2 2 6 9 10 9 8 9 12 19 23 23 18 12 10 9 7 5 4 3 3 2 2 4 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 5 5 5 7 8 8 8 8 8 8 9 9 10 10 8 7 7 6 6 6 5 5 5 6 7 6 6 5 4 4 5 6 5 6 7 8 9 8 8 7 6 7 8 10 11 12 11 10 8 7 7 7 6 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 2 1 4 8 10 10 7 5 3 2 2 2 2 2 4 5 6 5 5 6 6 8 8 8 9 13 17 21 22 17 11 7 5 3 2 2 2 4 7 12 19 29 37 33 18 7 4 6 6 6 6 6 7 7 7 6 5 4 4 4 3 3 2 2 3 4 4 4 3 3 3 3 2 3 4 4 3 4 6 8 9 8 7 6 6 7 6 6 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 6 6 5 6 6 6 6 7 9 12 11 7 9 16 24 29 30 26 16 7 6 1 -7 -11 -8 -1 4 4 3 2 3 4 5 6 6 5 4 5 6 8 10 12 11 10 12 12 7 5 8 9 8 9 11 10 7 8 7 11 13 12 9 7 6 8 9 7 3 7 9 6 4 4 6 8 8 8 10 12 13 15 15 13 8 3 2 3 5 4 -2 -10 -10 0 11 11 6 3 2 3 5 6 7 6 4 8 11 10 10 8 8 10 9 5 5 12 16 12 8 10 11 11 11 11 9 7 4 3 4 4 5 6 5 6 10 14 12 5 1 1 4 8 7 6 4 5 6 6 6 6 4 3 3 4 5 5 4 4 4 3 4 4 5 4 5 5 5 5 5 6 6 6 6 5 5 5 6 5 4 4 4 4 5 5 5 4 4 3 3 2 1 1 2 4 5 6 6 5 6 6 6 6 6 7 8 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 11 12 12 12 13 13 13 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 13 12 10 9 10 11 9 9 9 9 8 7 7 7 6 6 6 2 -0 3 6 8 9 9 8 8 11 17 22 22 17 12 10 9 7 5 3 3 3 2 1 4 7 6 5 4 4 5 5 5 4 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 6 7 7 7 8 7 7 9 12 12 10 9 8 7 6 6 6 5 5 6 6 6 6 6 5 4 4 5 5 5 5 6 7 7 7 6 5 5 6 7 8 9 9 10 8 7 7 8 9 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 7 10 10 8 5 3 2 2 2 3 3 4 4 5 6 6 5 5 6 8 8 7 6 6 5 7 12 14 11 8 6 4 3 2 2 3 5 10 18 30 38 31 17 7 6 7 7 6 6 6 6 6 7 7 6 5 4 4 3 3 2 2 3 4 4 4 3 3 3 2 2 3 4 4 4 4 5 7 9 8 7 6 6 7 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 4 5 5 6 6 5 5 6 6 7 9 12 13 9 8 14 21 27 28 20 12 9 10 14 12 5 -1 1 3 3 2 2 3 5 6 7 7 7 6 5 6 7 10 11 11 9 9 14 16 10 6 5 4 5 9 9 7 12 13 9 7 8 10 8 5 6 9 9 6 5 12 14 8 7 8 11 11 9 9 10 12 12 12 11 8 4 1 2 5 4 3 1 -8 -8 3 12 14 13 8 4 3 3 4 8 10 8 11 11 8 7 7 8 14 9 4 9 17 16 11 9 9 10 11 11 10 9 7 4 3 3 4 5 5 5 8 12 14 10 4 2 1 4 6 7 6 5 6 6 6 6 4 3 4 4 5 5 4 4 3 3 3 4 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 5 4 3 3 3 3 4 5 5 4 4 3 2 2 1 1 2 4 6 7 6 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 9 9 10 11 11 11 10 10 10 11 11 10 10 10 11 13 13 13 13 13 12 12 13 14 12 11 11 10 9 10 10 10 9 9 8 7 7 7 7 5 2 3 5 7 8 8 8 8 9 15 22 23 18 13 11 10 8 5 4 4 3 2 -0 2 7 6 5 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 6 5 6 6 6 5 5 5 6 7 8 7 6 7 10 11 11 11 10 8 6 6 7 6 6 6 6 5 5 5 5 4 4 4 4 4 3 4 5 4 5 5 5 4 5 5 5 6 6 7 7 6 6 7 8 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 11 12 12 11 8 5 3 2 2 3 4 4 5 6 6 6 7 7 7 7 8 8 8 6 3 0 -0 3 7 9 7 6 6 5 3 2 3 5 8 14 23 28 22 12 7 6 6 7 6 6 7 7 6 6 7 7 5 5 4 3 3 2 2 3 3 3 3 2 2 2 2 2 3 5 5 5 4 4 6 8 8 7 6 6 5 6 6 6 5 5 5 4 4 4 4 4 5 4 3 3 3 4 5 6 6 5 5 6 7 9 13 14 11 7 11 16 19 26 29 18 5 7 19 26 24 17 9 7 4 2 1 2 4 6 7 8 7 7 6 7 9 11 11 10 10 9 10 15 17 13 7 4 3 7 11 7 4 12 12 8 5 5 7 5 2 4 9 9 6 7 12 14 10 7 9 12 12 10 9 10 10 9 8 7 4 0 1 5 5 3 3 2 -7 -9 -1 7 9 12 10 8 6 5 5 10 15 12 9 10 9 6 6 11 12 5 4 11 16 14 9 8 9 10 10 10 9 8 6 4 2 2 4 5 5 6 8 12 12 7 3 3 3 4 6 6 6 6 6 6 6 5 4 4 4 5 5 4 3 3 3 3 4 4 5 5 6 6 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 3 4 4 4 3 3 3 3 2 2 2 3 5 8 7 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 6 6 6 4 4 4 5 5 5 6 8 8 9 9 9 9 9 9 9 9 9 10 12 14 16 16 16 16 15 14 14 15 16 13 11 10 10 10 10 10 9 9 9 8 9 9 9 8 5 3 4 6 7 7 8 8 8 11 18 21 19 15 13 11 9 7 5 4 3 3 2 2 5 6 5 4 4 3 4 4 4 4 3 4 4 6 7 7 5 5 5 6 6 7 6 6 5 4 5 6 7 8 7 7 7 8 9 9 10 9 7 7 7 7 7 6 6 5 4 4 4 5 5 5 5 5 4 4 5 4 4 4 4 5 6 5 5 5 5 5 4 5 5 6 7 7 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 10 10 10 9 7 5 3 2 2 3 3 5 6 7 7 7 7 9 10 9 9 9 8 5 2 -1 -1 2 6 8 7 6 6 6 5 4 4 5 5 8 11 13 10 4 3 3 4 4 5 7 8 7 6 6 7 6 5 4 4 4 3 3 3 3 3 3 2 2 1 2 3 2 3 5 5 5 5 5 7 9 9 8 7 5 5 6 6 6 6 5 4 4 4 3 4 4 4 3 3 4 3 4 5 5 5 5 7 8 10 14 16 13 8 8 10 11 15 25 31 23 11 11 22 25 20 13 7 3 2 1 1 2 5 7 9 8 7 7 7 9 11 12 10 9 10 11 12 15 18 16 10 5 5 8 11 7 3 3 2 0 0 2 2 0 -1 3 8 10 7 7 8 12 13 11 11 11 10 9 9 9 8 6 4 3 2 1 4 8 7 4 3 -2 -5 -3 -1 1 1 4 8 10 10 10 9 11 14 9 5 11 12 5 5 11 8 4 6 12 13 10 8 8 9 10 10 9 8 6 5 3 1 2 5 6 6 6 6 10 11 6 3 4 5 5 6 6 7 7 6 6 6 5 4 4 4 4 3 3 3 3 4 4 5 5 6 6 7 6 4 3 2 3 4 4 3 4 4 4 4 3 3 2 2 2 3 3 3 3 3 2 2 3 3 4 4 4 6 8 7 5 4 4 4 5 5 6 7 7 7 7 8 7 8 8 8 8 8 8 7 6 5 4 5 5 4 3 3 2 2 1 1 2 3 4 5 6 7 7 7 7 7 8 8 7 7 8 10 12 13 15 16 17 17 17 16 15 15 17 15 11 10 10 11 11 10 10 9 8 8 9 10 10 10 6 3 3 6 7 8 8 8 7 7 10 15 17 16 13 10 9 10 7 4 3 1 3 5 6 6 5 4 3 3 3 4 4 4 4 3 3 5 7 7 6 5 5 5 6 7 7 7 6 5 5 5 5 6 8 9 8 7 6 6 8 8 8 7 7 7 6 6 5 5 5 4 5 5 6 6 6 6 6 6 5 5 5 4 4 5 5 6 6 6 5 5 4 5 5 5 6 6 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 6 6 6 7 7 6 5 4 4 4 4 5 7 8 7 8 9 11 12 11 10 9 8 5 2 0 1 3 7 9 8 6 6 6 6 6 6 5 4 4 5 5 3 1 -0 -0 -0 0 2 7 9 9 6 5 5 4 4 3 3 4 4 4 4 4 3 3 2 1 2 2 3 3 3 4 5 6 6 7 9 9 10 10 9 8 6 5 5 6 5 5 4 3 3 3 3 4 3 3 4 4 4 4 4 4 5 7 10 12 16 19 17 9 4 5 7 7 12 22 25 22 20 17 15 9 5 2 0 -0 1 0 0 2 5 8 8 8 8 8 9 9 10 10 9 9 12 14 13 14 17 16 11 7 7 8 8 8 5 1 1 2 2 1 1 1 0 5 10 10 7 4 4 9 15 15 14 13 11 10 9 8 6 2 2 3 3 5 9 10 7 6 2 -3 3 10 6 -0 -0 2 7 10 13 14 12 10 8 6 6 19 18 4 5 8 6 6 10 12 11 9 8 8 9 9 10 9 6 5 4 3 2 3 4 5 6 6 6 8 9 6 4 5 6 6 6 7 7 6 6 6 5 4 4 4 4 3 3 2 3 4 4 5 6 6 7 7 6 6 4 2 1 2 3 3 3 3 4 4 3 3 3 2 2 3 3 2 3 3 2 2 2 2 3 4 5 6 7 7 6 5 4 5 5 5 6 6 6 7 7 7 7 7 7 8 7 8 8 7 7 6 5 5 5 4 4 3 2 2 2 2 2 2 2 3 4 5 6 6 6 7 6 7 7 6 6 7 8 9 10 12 13 14 15 15 17 15 13 14 14 12 11 10 10 11 11 10 8 8 10 10 10 10 9 6 4 5 8 8 8 7 7 7 6 7 10 15 17 14 9 7 8 9 5 3 1 2 5 6 5 5 5 4 3 3 3 4 4 4 3 3 4 5 7 7 7 6 6 6 6 6 6 6 6 5 4 4 4 6 8 9 7 6 5 6 6 7 7 7 6 5 5 5 5 5 5 6 5 5 6 5 6 6 6 5 6 6 5 5 5 5 5 5 5 6 5 5 5 6 6 7 6 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 10 6 5 6 6 7 7 7 8 8 7 6 7 7 7 8 8 9 10 10 9 7 7 7 7 5 4 4 6 8 10 9 7 6 6 7 8 8 7 5 4 4 5 4 1 -1 -2 -2 -1 2 6 10 10 7 5 4 3 3 3 3 3 4 5 5 4 4 3 2 2 2 3 3 4 4 4 5 6 9 9 8 7 7 8 9 9 8 6 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 3 4 6 12 16 16 17 16 11 4 -1 2 6 6 9 15 15 14 19 12 -0 -8 -7 -4 -2 -1 0 0 1 2 5 7 8 9 10 11 11 10 9 9 9 10 12 13 9 12 18 15 9 8 6 6 8 10 9 9 11 11 8 4 4 4 4 9 14 9 4 2 2 8 15 17 15 14 12 11 8 5 3 2 4 5 4 7 11 10 8 8 5 2 12 18 12 3 -1 -0 6 9 9 10 10 6 4 4 9 22 18 4 7 11 10 11 13 13 10 9 9 9 9 9 10 8 5 4 4 3 2 4 4 6 6 5 5 6 7 7 6 6 6 6 6 7 6 7 6 5 5 4 5 5 5 4 3 3 3 4 5 6 7 8 8 7 6 5 4 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 5 6 7 8 6 5 5 5 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 5 4 4 3 2 3 4 5 5 5 6 6 6 6 6 6 6 7 7 8 9 10 11 13 14 16 15 11 11 12 11 10 10 10 11 11 10 9 11 12 12 10 10 8 5 5 8 8 8 8 7 7 7 5 5 7 13 18 18 13 7 5 5 5 4 3 3 4 5 5 5 5 5 4 3 3 3 4 4 4 4 3 4 6 7 8 8 6 6 6 6 6 6 6 5 5 5 4 4 5 6 6 7 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 6 6 6 5 6 6 6 6 5 5 5 4 5 6 6 6 6 7 8 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 4 4 4 5 6 9 11 12 12 12 10 7 3 1 1 4 15 24 22 11 6 4 4 4 5 6 6 6 6 8 9 8 8 8 9 7 5 4 5 6 8 9 9 8 7 8 8 8 7 6 4 2 1 1 2 2 2 2 2 3 5 7 8 9 8 6 5 4 4 4 4 3 3 3 1 1 1 1 2 2 3 5 5 5 6 6 7 7 8 8 8 6 5 6 7 8 9 5 2 3 4 6 6 4 4 7 11 11 10 14 18 17 14 8 5 9 15 21 25 22 19 15 11 10 11 13 15 14 12 10 8 9 12 13 9 7 8 9 11 11 9 7 6 6 8 9 7 5 6 9 12 11 7 4 5 5 6 7 7 6 2 2 3 3 3 5 8 10 12 17 25 25 22 19 12 7 5 5 4 2 2 6 7 2 1 10 14 8 1 2 8 4 1 6 9 6 1 -1 -0 -1 -2 1 10 14 10 8 7 6 6 7 7 7 6 6 5 6 6 7 8 9 8 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 6 8 9 8 8 7 5 4 4 5 6 7 8 8 7 6 6 6 5 5 6 7 6 6 6 8 9 10 11 13 13 13 12 12 11 11 11 11 12 12 13 14 14 15 15 15 15 14 13 13 12 12 12 11 9 8 7 7 7 8 8 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 7 6 7 7 7 7 7 8 8 9 10 10 11 10 10 9 9 9 10 14 21 21 15 11 9 7 6 5 3 2 1 -1 -0 0 1 2 0 -4 -5 1 7 7 6 7 7 8 7 7 8 7 8 10 12 13 15 17 17 17 18 18 18 19 21 22 21 19 14 10 6 4 2 3 5 6 8 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 7 5 4 4 4 4 6 8 8 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 7 8 7 7 6 5 5 5 6 7 7 7 6 6 7 7 7 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 4 5 5 5 7 10 12 13 11 7 4 4 8 18 23 17 7 3 3 4 4 4 5 5 5 6 7 7 5 4 6 8 9 7 5 5 6 6 7 7 7 6 6 7 8 10 9 8 7 5 4 3 3 2 2 2 3 4 5 7 9 11 10 8 7 5 4 4 3 3 2 2 2 1 1 2 3 5 7 7 7 7 8 8 9 10 9 9 8 7 8 9 9 7 3 3 5 5 6 5 4 4 8 12 12 11 19 27 25 17 14 19 22 17 13 15 18 18 16 13 11 12 15 16 12 8 6 7 10 13 12 9 7 8 9 10 11 9 7 6 6 6 6 7 6 8 11 13 10 6 5 6 6 5 8 10 8 4 3 3 3 4 7 11 11 11 16 23 24 21 18 11 6 5 4 3 2 2 4 5 2 2 7 11 8 3 3 3 -4 5 17 12 4 -0 -0 1 2 3 3 7 10 8 6 6 7 9 10 9 7 6 6 7 7 7 8 9 8 7 7 6 6 6 6 6 6 6 5 6 7 7 6 6 5 5 6 6 7 9 8 5 4 4 3 3 3 4 5 7 8 8 7 6 5 5 5 6 6 7 7 7 9 10 12 14 14 15 15 14 13 12 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 9 8 8 7 7 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 8 9 9 8 8 8 10 15 21 22 15 10 9 10 10 7 5 3 1 -1 -1 -1 -1 -1 -3 -6 -5 2 7 6 6 6 7 7 7 8 7 7 6 6 7 9 10 12 13 13 14 16 16 16 18 22 25 27 24 17 9 5 4 5 8 11 12 11 9 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 7 6 4 4 4 4 4 5 3 3 3 3 4 5 6 5 6 6 6 6 6 6 6 6 5 4 5 6 9 11 9 7 6 5 5 5 6 7 7 6 6 7 7 7 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 18 13 11 8 4 1 8 14 20 21 18 15 14 10 8 6 11 21 22 20 17 14 9 11 21 22 14 2 -7 -7 6 22 27 17 2 7 20 23 12 0 1 4 5 7 10 13 13 10 8 8 12 12 11 9 7 8 9 10 12 12 15 17 17 17 14 11 8 5 6 11 14 15 16 15 14 15 15 16 16 15 13 11 10 11 14 16 17 15 13 11 11 11 11 11 11 13 15 16 13 12 13 13 14 14 14 13 13 14 15 15 15 14 14 13 13 14 15 15 16 15 14 13 12 11 11 12 11 12 12 12 13 14 14 13 11 11 12 12 13 15 15 14 14 12 11 12 13 13 14 14 16 24 22 11 9 11 12 13 14 15 16 17 16 16 15 15 16 16 15 15 15 14 14 14 14 14 14 14 15 14 13 11 10 8 7 9 11 12 13 11 11 13 15 16 16 16 15 14 12 11 12 12 14 16 17 18 19 19 18 17 17 16 15 14 13 13 14 15 16 17 17 17 16 15 14 14 14 14 14 14 13 13 13 14 15 15 15 14 13 13 13 13 14 14 13 13 14 15 15 13 12 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 12 12 12 13 13 12 10 10 11 10 10 10 11 11 11 11 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 8 6 5 6 7 8 9 11 11 11 12 12 12 12 13 12 12 12 12 12 11 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 17 20 17 14 13 13 13 14 14 13 12 12 13 14 15 16 16 16 16 15 16 18 21 26 28 29 27 24 21 16 13 12 12 11 11 11 13 13 13 14 14 16 18 17 17 15 14 13 12 12 12 12 12 12 11 12 12 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 14 13 13 13 13 12 13 13 12 11 11 12 12 12 11 10 11 12 12 12 12 12 12 11 12 12 12 10 10 11 12 13 nan
nan 21 18 11 6 -3 -5 7 18 21 14 14 15 17 13 7 4 7 11 15 23 27 24 16 6 3 17 17 6 1 3 16 28 32 18 -1 5 12 13 9 7 7 10 9 9 13 14 13 11 11 10 11 13 14 11 10 9 9 11 12 12 14 16 18 20 19 16 11 8 10 15 14 12 13 13 14 14 13 15 16 14 13 12 11 12 14 16 17 15 12 11 10 11 11 11 11 11 12 13 12 13 13 13 14 14 14 14 14 14 15 15 14 13 13 12 12 12 14 15 15 15 14 13 13 12 11 11 11 11 11 12 13 13 14 14 12 12 13 14 14 14 13 12 12 10 9 12 15 16 15 15 18 24 22 15 13 12 12 14 16 17 17 18 17 16 16 16 16 15 15 15 14 14 14 15 14 15 14 14 13 14 13 11 10 9 8 9 10 11 11 10 11 13 14 16 17 16 14 13 12 11 12 13 15 17 19 20 20 20 18 17 17 17 17 16 14 13 13 14 17 19 19 19 17 15 14 14 14 14 13 14 14 14 14 14 15 16 15 14 13 13 14 15 15 14 13 14 17 19 13 8 10 12 13 13 13 13 13 14 13 12 12 12 12 12 12 12 12 11 11 12 12 13 14 13 11 10 9 10 11 10 10 10 10 10 9 9 10 10 11 12 12 11 11 11 11 10 10 10 10 10 11 10 9 10 10 10 10 11 11 10 10 9 7 6 6 6 7 9 11 12 13 13 13 12 12 12 12 12 12 12 11 11 12 12 11 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 12 13 12 11 11 12 18 22 19 16 13 11 12 13 13 11 10 11 12 14 16 16 16 16 15 15 16 18 21 25 28 30 29 27 24 20 16 14 11 10 10 11 13 13 14 15 15 17 16 13 11 8 9 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 11 10 10 9 9 9 10 11 11 10 10 10 8 8 8 8 9 9 9 10 11 12 13 15 15 13 13 13 13 12 12 11 10 11 11 11 11 11 10 11 11 11 11 12 13 13 12 11 12 12 11 10 11 13 14 nan
nan nan nan nan nan nan nan 12 18 12 9 8 11 13 14 9 5 4 9 15 20 24 19 9 2 5 12 15 15 14 16 26 28 12 -1 -1 7 11 12 11 12 14 13 11 11 11 10 10 10 12 14 15 14 12 11 11 11 12 12 11 11 14 14 17 20 22 21 17 15 14 15 11 10 12 14 15 15 14 15 14 14 13 13 14 14 15 16 15 13 11 10 11 11 11 12 12 11 11 12 12 13 14 15 15 15 14 13 14 14 15 15 14 13 12 12 11 12 12 13 15 16 15 14 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 12 13 16 17 17 16 17 18 19 19 17 15 14 15 16 16 17 16 16 15 15 16 16 16 15 14 14 14 14 14 14 15 14 13 13 13 12 11 10 9 10 10 11 11 10 10 10 12 14 17 18 17 15 14 13 13 13 14 15 17 18 19 19 19 18 18 19 20 19 18 16 14 13 14 16 17 18 20 19 17 16 15 15 15 14 14 15 15 15 14 14 15 16 15 15 16 17 16 13 11 12 13 16 17 11 7 9 12 13 14 16 18 18 17 14 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 10 9 10 11 11 11 10 10 11 11 11 12 12 12 12 12 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 11 10 11 11 10 9 8 7 5 6 9 10 11 12 12 12 12 12 12 12 11 11 11 11 12 11 11 12 12 12 11 11 12 13 13 13 12 12 13 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 12 12 13 13 13 11 10 11 15 18 17 15 15 18 17 14 13 10 7 7 9 13 15 16 17 16 16 15 15 15 17 21 25 29 32 31 29 27 23 19 14 10 10 10 11 13 13 13 13 13 11 8 7 6 7 8 8 10 12 12 13 13 13 13 13 13 12 12 11 11 11 11 10 9 9 10 10 10 10 11 11 11 10 9 8 8 7 7 8 9 10 13 14 13 12 11 12 15 15 14 13 11 10 11 11 11 11 12 12 12 11 11 10 10 11 12 12 12 12 11 11 11 11 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 7 7 10 16 21 20 15 10 10 14 3 -1 9 17 22 23 23 16 6 1 1 6 10 13 15 15 10 6 7 7 7 8 9 11 14 14 14 11 9 8 8 11 14 15 12 14 16 16 16 18 20 20 19 17 15 12 11 12 14 16 16 14 12 12 11 12 13 13 15 15 14 14 12 11 11 11 12 12 13 14 13 12 12 12 12 14 15 16 16 16 14 12 12 13 14 14 13 13 12 12 12 13 13 13 14 15 16 15 14 14 14 14 14 13 12 12 13 13 13 13 13 13 12 12 12 14 15 13 12 12 13 14 15 16 17 17 17 16 17 17 16 15 15 16 16 16 15 14 14 14 15 16 16 16 16 14 13 13 13 13 14 14 14 13 12 11 10 10 10 11 11 11 11 11 10 10 11 13 16 18 20 18 16 15 14 14 14 15 15 16 16 16 16 16 17 18 19 20 19 17 15 14 14 15 16 17 17 17 17 17 17 15 15 16 16 16 15 14 13 13 13 14 15 15 16 16 15 12 10 12 14 15 14 13 12 13 15 15 16 17 21 22 19 14 11 11 12 12 13 11 11 11 11 11 11 11 11 11 11 11 10 10 12 12 12 12 11 11 12 13 14 14 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 11 11 10 9 8 8 8 7 8 10 11 11 12 12 11 11 12 12 12 11 11 11 11 12 11 11 12 11 11 11 12 12 12 13 13 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 12 12 12 13 12 12 11 11 14 16 15 12 13 21 21 15 10 7 4 5 9 13 16 16 16 17 16 15 15 16 18 21 24 29 33 32 31 26 20 16 12 10 11 11 12 13 13 13 11 9 7 6 6 8 9 9 9 10 11 12 12 13 13 13 13 13 12 11 11 10 10 11 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 7 7 9 11 12 13 13 12 9 10 12 14 14 13 11 11 11 11 11 11 12 13 12 12 12 11 10 10 10 10 11 12 12 11 11 11 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 1 7 6 -6 1 14 24 23 18 11 16 14 3 1 3 10 14 17 15 8 6 7 8 9 10 12 14 14 11 10 8 7 8 9 12 16 17 15 14 13 13 14 15 16 17 17 16 15 15 15 15 16 15 13 12 10 9 9 11 12 12 12 13 14 12 11 12 12 13 13 13 13 13 13 12 12 12 13 15 16 17 17 15 13 11 11 11 12 12 12 11 12 12 13 13 13 14 15 15 15 14 14 15 16 16 16 15 14 14 13 13 13 14 13 14 14 14 14 16 15 14 15 16 16 17 17 17 16 17 16 15 15 16 15 15 16 16 16 15 15 15 15 14 15 15 16 16 15 14 13 13 13 13 13 13 13 12 11 10 10 11 11 12 12 12 12 11 11 11 13 14 17 19 21 19 17 15 15 15 15 14 15 15 14 14 15 15 16 18 19 19 17 16 14 13 14 15 16 16 16 16 16 17 17 17 17 17 18 17 15 12 11 11 13 14 14 16 16 14 12 10 11 16 20 16 10 12 15 15 15 15 15 15 17 14 10 8 9 11 12 12 12 11 12 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 13 13 12 12 12 12 12 11 11 11 11 10 10 11 10 10 11 11 11 11 10 10 10 9 9 8 7 9 10 10 11 11 11 11 12 12 11 12 11 11 11 11 11 12 11 11 12 11 11 11 11 11 12 12 13 13 12 11 11 12 12 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 12 14 14 14 14 16 14 10 7 7 9 10 13 15 15 16 16 16 16 15 15 16 18 22 26 30 32 32 31 23 16 12 10 10 11 12 12 12 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 12 11 10 10 10 10 9 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 9 10 13 15 13 11 9 10 11 12 12 12 12 11 11 10 11 12 12 12 12 12 13 13 11 10 11 10 10 10 10 11 12 12 12 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 25 16 6 7 7 5 0 6 12 15 14 10 7 9 11 12 13 12 13 13 11 10 9 8 9 9 11 14 17 16 14 11 11 11 12 12 12 12 12 13 14 15 16 15 14 12 10 10 10 9 10 11 11 11 11 13 14 12 11 11 12 12 13 13 12 12 12 13 13 13 14 16 17 17 15 13 12 11 11 10 10 10 10 11 12 13 14 14 14 14 15 15 14 13 14 16 17 16 16 16 16 15 15 15 15 14 14 15 15 15 15 15 15 16 16 17 17 17 17 16 15 15 15 15 15 15 15 16 16 16 16 15 15 15 14 14 14 15 15 16 16 15 14 13 13 14 13 13 13 12 11 10 10 10 12 12 13 13 13 12 12 13 15 16 18 20 21 19 18 16 15 13 13 14 15 14 13 14 15 15 16 18 18 18 18 16 15 15 15 15 15 15 17 17 17 17 17 18 18 18 19 18 16 13 12 12 13 14 15 17 16 15 13 12 14 18 20 14 7 10 15 15 15 14 13 11 11 10 10 10 11 11 12 11 10 11 12 13 13 13 13 13 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 12 12 12 11 11 11 11 11 10 10 11 11 11 10 11 11 11 11 10 9 8 9 9 9 10 10 11 11 11 11 11 11 12 11 12 11 11 12 12 11 11 11 12 11 11 11 11 11 11 11 12 12 13 12 12 12 12 12 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 14 14 14 14 14 12 10 9 10 13 14 15 15 15 15 16 17 16 16 16 15 17 19 22 27 31 33 33 26 16 12 11 10 11 11 12 12 12 12 12 13 12 12 12 12 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 10 9 9 7 8 9 10 10 11 11 11 10 10 10 9 8 8 9 10 10 11 13 16 14 11 10 11 11 11 11 11 12 11 10 10 11 12 12 13 13 12 12 12 12 12 12 11 10 10 10 11 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan 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 16 15 13 12 13 12 11 13 13 12 10 9 10 11 10 10 11 13 15 15 14 13 12 12 10 10 9 8 8 8 8 10 11 11 11 11 11 10 10 10 10 10 9 9 10 12 15 14 10 10 11 11 11 12 12 12 12 12 14 14 14 14 15 16 17 14 11 10 10 10 10 10 11 11 13 13 13 14 15 15 15 14 14 13 13 14 14 15 15 16 17 17 16 15 15 15 16 16 15 15 14 15 15 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 15 15 15 14 13 13 13 14 15 16 16 16 15 14 14 13 13 12 11 11 11 12 12 12 12 13 13 13 13 14 15 16 17 18 19 18 17 16 15 14 12 11 12 13 14 14 14 15 16 16 16 17 18 18 17 16 16 16 17 16 15 17 19 20 19 19 20 21 20 19 18 16 15 14 13 13 15 17 16 15 14 13 13 15 16 16 14 13 13 15 15 14 14 13 11 11 11 12 11 10 9 9 9 10 11 12 13 14 14 13 12 11 11 12 13 13 13 13 13 14 14 14 14 14 13 12 11 11 12 12 12 11 11 11 11 10 11 11 11 11 11 12 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 11 11 12 11 12 12 11 12 11 12 12 11 11 12 12 12 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 13 14 14 14 15 17 15 11 10 11 12 12 11 13 15 15 14 13 14 15 17 18 17 16 16 16 18 20 22 26 32 34 31 22 15 12 10 11 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 14 14 13 13 12 12 11 11 10 9 9 8 7 8 9 9 10 11 14 14 12 12 11 9 9 8 8 9 11 12 14 16 16 14 12 10 10 11 11 12 11 10 10 10 10 11 12 13 12 13 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 12 10 9 10 11 11 11 13 15 16 16 14 12 13 13 13 12 10 9 8 8 9 9 9 9 9 10 11 11 11 12 12 9 5 6 10 15 18 14 9 9 9 10 11 11 12 11 12 12 14 15 15 14 14 16 17 13 11 11 11 11 12 12 12 12 14 14 13 13 13 13 13 13 13 13 14 13 13 13 14 15 16 17 16 14 14 15 16 16 17 16 15 15 14 14 15 15 15 15 15 15 16 16 16 15 14 15 15 15 15 16 15 15 15 15 14 14 13 13 13 13 14 15 16 16 16 15 14 14 13 12 13 12 12 12 13 13 13 13 14 14 15 16 16 17 18 18 17 16 15 14 14 14 12 11 12 12 13 13 14 15 15 15 15 17 17 18 18 18 18 18 19 18 17 19 23 26 25 23 24 23 20 18 17 15 14 13 15 16 18 18 16 14 13 13 13 15 16 16 15 14 13 13 12 12 12 11 10 9 9 9 9 8 7 7 8 10 12 12 13 13 13 12 11 11 12 12 12 12 13 13 14 14 14 14 14 13 12 12 12 12 11 12 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 11 12 12 12 11 11 11 12 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 11 11 12 12 11 11 11 12 13 13 12 12 12 12 13 13 13 13 13 14 15 15 13 9 8 10 13 13 12 13 14 14 14 13 15 15 17 17 17 16 16 16 18 21 22 26 31 33 30 22 17 13 11 12 13 13 13 13 13 13 13 12 12 12 11 12 11 12 12 11 11 11 12 12 13 13 13 13 12 12 12 11 10 9 9 8 8 9 9 9 11 10 11 13 13 14 12 11 10 8 8 9 9 11 13 15 16 14 13 12 12 11 11 11 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 6 4 3 4 5 6 5 5 4 4 5 5 6 6 8 9 10 10 9 8 8 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 8 12 15 15 14 14 11 6 5 5 4 4 6 7 7 4 1 1 2 3 3 3 2 2 2 2 2 3 3 4 4 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 0 0 0 3 3 1 0 0 0 0 0 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 34 47 48 50 59 67 67 59 44 21 5 1 4 5 3 2 0 0 0 0 0 0 0 0 0 0 0 1 5 13 20 29 46 66 85 89 88 86 78 63 49 34 18 13 15 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 25 44 41 79 87 96 97 91 80 66 55 51 52 54 60 74 95 100 86 70 72 101 133 140 122 97 87 92 101 108 103 77 45 28 31 43 52 57 60 64 60 49 41 39 41 53 71 77 74 76 79 79 78 83 93 104 112 118 122 127 126 120 116 114 115 118 121 122 121 119 120 121 124 129 132 131 124 115 111 108 105 99 91 87 91 86 84 69 72 71 65 71 85 94 104 110 100 99 108 112 110 109 111 117 117 122 124 122 123 137 144 130 90 41 10 1 0 0 4 23 50 68 74 72 69 72 81 92 99 104 112 125 133 134 133 136 142 154 168 169 170 180 192 196 190 182 167 148 137 140 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 13 11 7 4 3 3 4 5 6 6 5 5 4 4 4 4 6 9 10 10 9 8 8 8 6 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 9 11 10 9 7 4 3 2 2 1 1 2 3 2 0 0 1 2 3 3 3 3 2 2 2 3 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 1 0 0 3 3 2 0 0 0 0 0 1 3 4 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 1 3 12 30 42 39 38 46 59 66 65 60 47 25 9 5 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 14 24 38 54 66 67 64 52 32 20 15 7 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 3 1 0 2 0 0 13 37 48 72 87 96 99 93 75 60 52 49 47 44 48 63 96 112 100 84 90 118 142 142 122 98 86 82 83 86 85 70 47 33 35 48 62 70 74 77 72 58 47 42 47 60 72 76 75 80 85 86 89 95 107 119 126 132 134 131 122 115 112 113 116 121 126 128 127 126 125 125 124 126 127 128 128 126 123 119 119 106 100 99 101 83 81 93 93 93 80 82 91 108 102 94 91 92 100 100 89 89 86 95 100 116 124 119 116 122 135 140 133 99 40 4 0 0 2 14 36 58 71 73 69 69 74 85 97 110 128 147 156 165 172 177 185 195 197 190 186 186 188 185 183 176 161 141 126 123 123 nan nan nan nan nan nan nan nan nan nan nan 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 13 10 7 4 3 4 6 7 6 5 5 5 4 3 2 2 6 8 9 8 7 7 7 6 6 6 5 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 3 2 0 0 0 0 0 0 1 0 0 0 0 1 3 3 3 3 2 2 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 0 0 0 3 5 5 2 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 20 31 33 28 34 48 59 63 62 57 46 28 14 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 13 19 27 34 34 31 24 17 13 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 8 6 8 12 7 9 15 28 54 72 87 91 92 92 75 59 51 50 46 40 42 58 90 115 111 96 102 126 141 138 119 98 82 70 65 68 71 62 45 34 35 46 59 72 82 89 86 73 60 55 60 69 75 75 77 84 91 96 102 111 125 136 141 144 142 133 120 112 110 112 114 118 124 127 126 125 125 127 126 125 126 127 129 127 119 108 111 111 108 110 108 97 96 100 94 105 102 104 108 116 111 101 99 97 98 96 86 72 63 71 76 91 115 118 111 108 115 124 129 118 76 26 2 0 1 7 22 42 60 73 74 74 74 80 92 108 130 160 182 195 202 203 208 212 206 193 184 183 184 183 181 174 158 137 122 119 119 116 nan nan nan nan nan nan nan nan nan nan 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 9 12 11 9 8 6 6 8 9 7 5 5 6 5 4 2 2 3 4 6 6 5 5 5 4 5 7 7 5 2 1 1 2 2 2 2 2 2 2 3 3 3 3 2 2 3 3 3 4 4 5 5 5 4 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 3 3 2 2 2 2 2 2 2 2 2 1 3 3 3 4 4 5 5 5 5 5 4 1 1 3 5 5 4 0 0 0 0 2 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 18 24 24 19 17 30 48 55 57 55 48 37 23 13 10 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 13 16 17 17 16 15 13 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 7 10 13 15 16 17 18 19 21 45 62 84 85 80 81 72 59 52 52 48 40 40 54 82 110 114 105 107 123 135 133 117 95 73 55 47 50 56 54 41 32 33 42 52 66 83 99 106 100 86 78 79 81 80 77 82 91 99 108 118 129 140 144 146 146 142 132 120 114 111 110 108 108 112 114 112 110 110 114 116 113 114 116 116 111 101 91 87 89 99 108 109 108 111 110 107 108 110 109 112 118 113 102 97 91 86 88 85 81 86 94 93 97 116 123 109 95 89 93 99 105 102 64 12 1 0 2 20 38 58 72 74 75 81 91 101 109 122 144 172 192 204 212 216 216 206 192 183 181 182 186 185 177 156 131 118 120 124 118 nan nan nan nan nan nan nan nan nan nan 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 11 10 10 10 9 9 9 10 9 8 8 8 7 5 4 3 3 3 3 3 3 2 2 1 2 6 9 7 3 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 3 3 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 1 2 0 0 0 0 2 2 2 1 0 0 1 1 0 0 0 0 3 5 5 5 3 1 0 1 3 5 4 0 0 0 0 1 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 17 19 18 14 12 14 28 46 49 48 43 36 26 14 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 12 12 12 12 12 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 7 8 12 17 19 19 20 21 20 10 20 37 68 76 70 69 66 56 52 55 53 44 40 48 71 96 108 106 105 115 128 132 118 92 63 42 30 29 35 39 34 28 30 37 47 60 83 109 130 132 118 102 93 88 85 84 89 97 105 119 129 135 139 140 142 142 140 132 122 115 111 106 100 98 99 98 93 89 87 88 90 91 92 93 93 89 82 77 78 80 87 98 102 104 108 109 106 109 114 112 110 107 102 93 92 95 89 77 78 98 122 133 131 126 132 132 114 88 72 70 73 86 107 98 40 8 1 4 27 57 78 85 81 78 87 107 123 130 133 140 157 178 199 216 222 225 220 208 195 186 181 182 183 176 156 130 115 120 133 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 10 11 10 10 10 10 10 9 10 12 12 12 12 11 8 6 5 5 4 2 2 1 1 0 0 1 5 9 9 5 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 2 0 0 0 1 2 2 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 19 18 12 7 7 10 23 41 44 39 31 25 16 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 9 9 9 9 10 11 13 14 13 10 14 13 7 2 0 14 40 56 58 58 56 52 53 61 62 53 44 46 60 77 92 100 102 108 122 131 122 93 61 38 23 16 18 22 24 24 26 31 38 52 75 104 134 150 143 117 95 91 93 94 98 100 105 117 121 126 127 125 127 133 136 132 126 118 110 102 95 92 93 92 84 73 66 65 67 70 73 75 76 76 73 73 78 85 89 92 93 96 103 107 109 116 123 124 117 106 104 98 97 106 106 92 80 96 118 134 134 132 135 136 120 94 74 69 73 85 105 102 68 28 13 27 63 103 124 127 118 112 117 130 141 149 157 163 170 180 193 212 223 229 233 229 214 196 183 176 175 169 154 135 120 128 141 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 10 12 13 12 11 10 10 10 10 12 13 13 12 13 14 13 9 7 6 5 2 1 0 1 1 0 0 3 7 9 6 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 18 22 16 7 4 4 6 17 34 38 32 21 14 10 9 6 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 10 10 10 11 12 12 12 11 9 6 4 2 0 0 0 9 25 37 41 43 44 46 50 64 73 66 53 47 51 62 74 86 96 104 117 129 125 102 71 47 28 15 8 11 16 19 22 22 23 32 51 77 111 141 147 131 109 103 106 106 105 102 99 97 98 100 100 99 104 114 124 128 126 123 115 106 98 95 96 95 86 71 59 55 56 61 67 72 76 78 76 77 83 92 95 92 90 92 100 108 118 124 134 130 121 117 117 108 102 114 108 102 97 105 120 124 120 117 123 134 132 113 96 93 93 89 89 95 88 64 52 76 126 153 156 154 148 148 156 153 140 141 158 179 196 193 186 199 215 227 232 233 221 204 188 179 173 165 154 143 136 139 139 127 nan nan nan nan nan nan nan nan nan 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 10 10 12 14 14 12 10 8 9 11 13 14 14 14 14 14 13 10 7 5 1 0 0 0 1 0 0 1 4 6 6 4 4 4 3 2 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 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 8 20 25 23 14 6 4 4 5 11 22 26 21 13 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 8 9 9 9 10 11 11 10 10 9 8 3 0 0 0 0 11 21 26 28 29 33 36 42 56 72 75 65 51 45 52 62 72 82 96 109 120 122 110 88 65 45 24 8 4 6 11 14 14 9 11 21 38 63 96 122 129 128 126 124 119 111 103 92 81 76 78 78 76 81 93 104 111 114 117 118 114 110 106 103 100 94 81 68 61 61 66 73 80 87 89 85 84 87 94 95 92 92 93 99 108 122 126 134 126 120 121 120 110 108 116 111 108 108 112 116 118 113 108 112 123 130 125 116 115 113 102 91 95 109 114 115 120 134 146 150 150 151 156 160 151 134 130 138 160 189 192 179 183 197 213 221 221 213 205 197 190 182 172 163 155 150 146 138 127 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 18 14 10 10 12 15 15 11 7 5 6 10 12 14 13 11 11 13 13 9 5 2 0 0 0 0 0 0 0 1 2 4 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 19 27 26 17 9 6 4 4 6 9 13 14 13 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 7 8 9 10 10 10 10 9 8 6 3 2 6 17 25 23 20 24 28 28 30 41 58 72 73 61 46 45 54 61 68 82 96 106 110 108 98 82 63 43 19 5 1 2 6 7 4 2 4 10 21 39 64 90 110 124 128 127 120 109 96 82 73 71 71 68 71 78 87 93 96 100 108 114 117 115 110 105 99 89 78 74 73 75 80 88 94 93 84 83 88 94 93 93 94 95 98 106 118 121 121 117 116 119 117 106 105 114 115 114 115 117 119 119 116 114 116 119 118 112 106 106 104 103 106 115 128 138 143 144 140 144 139 136 141 149 152 148 140 134 128 132 149 162 164 165 175 190 200 199 194 194 198 202 193 183 175 167 158 148 136 128 128 nan nan nan nan nan nan nan nan 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 19 14 10 10 14 16 13 7 2 2 4 7 10 10 7 5 6 9 10 8 5 1 0 0 0 0 0 0 0 0 1 2 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 14 21 28 29 19 9 6 6 5 7 9 11 10 10 11 11 9 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 2 1 4 6 6 7 8 9 12 13 12 12 12 12 13 12 13 26 37 36 27 20 24 29 25 23 28 41 59 72 73 60 47 46 52 57 67 82 93 99 102 99 91 76 59 37 14 2 0 1 3 2 0 0 1 3 7 17 35 54 75 92 103 109 109 104 97 84 74 70 70 71 75 79 85 89 90 91 100 109 113 110 105 99 90 82 79 75 75 80 90 97 94 84 89 96 100 98 99 99 100 99 102 112 114 113 114 114 114 116 111 111 116 118 116 115 116 116 117 120 122 124 125 116 102 92 92 90 92 108 127 127 129 142 153 147 136 123 117 120 124 127 131 136 135 131 130 136 147 151 151 162 177 185 182 175 176 183 190 189 181 172 162 152 142 131 129 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 21 24 23 19 15 12 13 14 13 9 4 1 0 2 6 8 6 1 0 2 6 9 9 6 4 2 1 0 0 0 0 0 0 0 1 3 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 25 18 9 6 7 6 6 8 12 12 11 10 10 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 7 8 8 11 12 12 15 18 16 15 14 14 14 13 18 29 40 43 37 31 31 31 26 21 22 30 45 64 84 83 66 47 44 49 56 68 82 93 97 96 92 82 69 53 31 13 4 2 2 2 0 0 0 0 0 1 6 13 23 38 54 65 76 87 95 94 84 75 70 70 74 78 82 87 85 82 83 92 100 101 99 94 88 82 78 72 70 77 87 92 91 92 99 102 105 105 108 107 104 98 96 102 107 110 115 120 122 123 121 121 124 125 123 120 117 116 116 121 127 133 134 121 103 93 93 93 100 114 122 115 121 143 162 159 138 116 105 106 106 105 112 123 132 136 145 158 163 163 162 173 189 193 183 169 164 167 172 168 159 150 138 128 121 121 128 140 nan nan nan nan nan nan nan 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 17 21 22 21 18 15 14 14 11 7 4 1 1 2 6 6 3 0 0 1 5 10 10 6 6 4 1 0 0 0 0 0 0 0 0 2 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 1 4 20 17 7 4 7 9 8 7 9 11 11 11 10 9 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 2 4 8 11 13 20 28 28 22 19 18 17 14 11 10 9 11 19 30 37 45 48 48 45 37 29 22 22 26 36 52 80 101 99 71 47 44 47 54 69 85 94 95 91 86 77 66 51 34 20 12 8 5 2 0 0 0 0 0 0 1 3 9 18 24 32 47 64 81 87 82 74 67 65 69 72 73 74 76 77 78 85 87 85 82 81 80 76 67 72 78 82 88 88 96 106 111 111 114 117 110 104 101 100 102 106 113 125 133 138 138 136 134 134 134 132 129 127 125 124 128 136 143 143 127 107 96 98 102 116 132 133 129 135 154 174 177 156 127 109 107 110 110 119 134 145 150 156 166 176 184 191 194 199 201 189 172 160 152 148 137 125 115 106 100 99 106 119 131 nan nan nan nan nan nan nan 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 10 14 18 22 21 19 17 16 13 10 7 5 2 1 3 5 5 3 1 1 1 3 6 9 12 10 6 2 0 0 0 0 0 0 0 0 1 2 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 9 7 2 4 14 23 13 7 5 8 12 11 9 9 9 8 8 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 1 6 14 19 30 42 43 34 25 20 16 11 7 6 5 5 12 24 32 39 47 54 54 42 32 24 22 24 31 43 62 89 110 105 75 57 48 46 55 73 87 92 92 90 86 78 69 57 44 33 25 16 8 2 0 0 0 0 0 0 0 2 4 5 7 14 26 47 67 78 78 69 54 49 49 48 51 58 63 69 72 72 67 63 64 66 65 53 57 65 69 78 86 96 105 114 117 119 118 110 107 113 118 116 115 121 132 140 145 144 143 140 140 138 135 133 133 135 134 138 147 154 151 138 121 111 113 118 128 142 156 163 163 164 170 174 166 144 120 113 121 129 141 159 173 177 173 162 171 188 210 210 199 189 181 171 159 142 121 101 90 85 81 80 85 97 112 126 133 nan nan nan nan nan nan 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 6 9 13 16 18 18 18 18 16 13 10 7 4 3 3 5 6 6 3 1 0 1 5 13 16 13 8 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 2 2 3 3 9 11 10 13 20 21 14 11 8 12 16 15 12 10 6 4 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 1 3 5 12 20 28 36 40 37 34 33 32 23 11 5 3 2 2 8 16 24 35 45 48 42 35 29 23 22 27 37 50 68 91 107 107 89 71 58 52 62 77 87 91 92 91 89 85 76 65 54 45 34 22 12 5 0 0 0 0 0 0 0 0 0 1 2 4 12 29 50 66 67 50 31 25 28 36 43 50 56 61 59 52 44 43 44 43 38 39 44 51 60 70 78 86 96 108 115 116 117 120 119 118 118 119 122 128 132 138 143 138 136 135 132 127 125 127 133 138 142 151 159 161 156 148 143 142 142 144 152 167 176 173 162 152 155 162 148 124 114 131 142 154 172 188 195 195 189 180 189 211 215 199 175 162 156 148 131 112 92 84 81 74 69 78 96 114 130 143 nan nan nan nan nan 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 0 0 1 2 4 6 9 12 14 16 16 14 14 13 10 7 4 3 5 7 6 4 1 0 2 8 14 16 14 9 6 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 9 12 11 10 9 11 11 13 20 24 20 16 14 13 16 19 18 15 12 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 12 18 22 27 30 33 36 45 55 49 32 16 8 4 1 0 1 3 15 26 30 35 35 33 28 24 25 33 46 56 69 86 99 105 99 87 74 68 73 82 90 95 95 95 97 94 84 71 61 50 38 26 14 4 0 0 0 0 0 0 0 0 0 0 0 1 3 12 28 42 40 28 19 18 25 32 42 46 50 49 42 33 33 31 27 33 43 52 59 63 69 73 74 76 89 104 112 119 122 120 118 118 117 120 118 118 123 128 129 131 129 125 116 111 114 122 132 139 146 154 162 165 165 164 161 156 154 159 166 169 166 155 141 139 150 144 124 111 127 145 158 170 184 196 204 205 193 190 202 208 198 178 157 144 130 112 102 108 112 108 94 78 83 102 118 136 152 nan nan nan nan nan 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 0 0 0 0 0 1 2 3 4 5 6 7 11 14 15 12 8 4 2 6 8 10 8 4 1 2 6 11 15 16 14 10 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 22 22 18 14 12 14 13 18 26 29 26 20 18 17 17 17 17 17 15 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 14 17 19 22 26 31 40 51 57 55 42 22 13 6 2 0 0 0 6 9 17 25 26 26 19 23 30 40 50 57 67 77 88 98 100 96 88 82 84 92 98 100 101 105 108 101 87 75 64 52 39 28 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 15 20 14 10 16 20 26 36 42 41 36 32 35 38 41 46 55 68 81 86 92 98 89 75 80 94 104 112 117 118 120 120 117 117 113 108 107 112 120 125 126 125 116 105 101 108 119 128 135 141 150 160 166 169 166 156 148 148 153 156 158 154 140 128 134 138 130 120 124 144 157 163 173 188 199 196 185 181 186 188 184 176 162 142 123 105 97 109 128 137 128 112 103 107 116 134 149 nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 1 1 4 10 14 14 10 6 4 5 7 13 16 13 6 2 2 4 9 13 16 18 17 12 6 3 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 2 5 21 34 35 30 26 16 16 18 19 26 32 36 36 25 20 18 15 14 14 15 16 13 8 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 2 7 11 12 13 15 19 24 29 35 46 58 63 50 25 11 1 0 0 0 0 1 2 7 10 10 10 11 19 30 38 44 50 57 65 76 85 90 92 87 84 91 100 104 104 106 111 110 100 89 78 66 53 44 33 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 1 1 5 8 21 30 29 27 26 33 44 53 59 62 68 84 99 107 116 111 94 86 89 95 97 98 104 112 117 118 116 112 106 101 100 105 113 119 122 120 114 105 102 106 112 119 126 134 146 160 169 168 159 145 140 138 144 157 158 146 125 121 132 140 138 134 140 148 149 157 175 188 181 173 174 175 173 169 170 166 147 122 105 95 99 118 136 146 143 128 114 114 125 136 nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 12 10 8 6 6 7 11 17 19 14 8 3 1 2 6 11 16 18 18 14 9 6 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 21 38 39 37 25 25 23 24 33 41 44 45 28 20 17 13 10 10 11 13 12 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 1 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 5 9 10 10 10 12 14 18 23 32 50 62 61 46 22 2 0 0 0 0 0 0 0 1 1 2 1 4 17 25 29 33 38 46 56 66 74 80 79 78 83 91 97 94 93 101 106 100 95 90 80 66 53 43 30 16 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 16 19 20 20 25 41 56 65 67 65 77 94 103 114 116 114 103 94 87 85 82 82 89 99 107 113 114 111 104 97 96 101 108 114 119 123 120 112 105 102 103 107 114 126 143 159 165 164 156 147 138 139 151 155 147 134 126 134 148 153 148 142 140 139 142 158 176 187 188 185 182 177 172 172 172 152 124 108 98 94 99 118 147 158 143 125 122 126 128 127 nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 11 10 9 8 8 8 8 12 18 18 12 7 3 2 4 7 11 13 14 15 14 11 8 7 7 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 7 35 33 44 39 34 31 31 36 43 48 44 26 19 16 11 8 8 8 10 10 8 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 1 2 3 3 4 3 2 1 1 1 0 0 1 2 4 5 3 1 0 0 0 4 8 8 7 6 5 6 9 14 22 41 54 62 57 40 17 6 3 1 0 0 0 0 0 0 0 0 0 3 5 12 16 19 25 35 46 56 64 67 69 74 81 85 82 76 83 91 88 86 89 88 78 63 49 36 25 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 19 21 26 36 47 56 61 64 75 88 99 108 110 114 112 102 89 79 72 67 66 71 85 100 111 116 112 102 96 97 102 107 111 118 125 126 117 107 100 96 100 111 125 138 148 155 159 153 141 137 142 145 140 135 137 145 155 158 154 149 149 147 140 145 159 186 198 197 192 186 180 178 174 158 132 116 110 100 92 108 144 164 157 144 142 143 142 135 nan nan nan 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 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 10 9 11 13 12 9 9 14 17 14 10 6 4 4 6 8 10 13 15 16 14 11 10 12 12 11 8 6 5 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 3 8 7 4 35 27 47 42 37 38 38 44 47 51 38 21 18 14 9 8 7 7 8 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 0 0 0 0 1 2 3 4 5 4 4 4 3 3 2 2 2 1 3 8 11 9 5 1 0 1 4 8 8 7 4 2 2 6 11 21 34 44 51 57 53 39 26 15 9 5 2 0 0 0 0 0 0 0 0 0 1 4 4 6 14 24 33 43 50 57 64 69 74 74 73 74 76 74 74 77 82 82 70 58 43 30 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 21 25 26 30 36 43 51 61 75 87 96 99 102 103 99 91 81 71 60 52 50 56 72 95 113 119 110 100 95 96 100 103 108 113 118 119 115 109 102 101 106 117 126 133 146 157 154 142 135 137 138 136 134 141 152 156 154 153 155 163 161 147 139 145 168 185 188 187 187 183 178 175 169 148 130 127 119 103 111 140 157 157 155 156 157 157 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 8 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 7 10 10 13 14 9 6 8 12 13 12 9 8 7 7 8 9 12 17 19 19 15 13 14 17 16 11 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 27 20 44 40 39 44 49 52 55 52 31 15 15 12 9 8 7 7 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 3 1 0 0 1 2 4 4 5 5 5 4 4 3 3 2 2 1 0 4 12 17 14 9 4 1 1 3 5 7 7 5 4 5 7 11 17 25 30 35 38 47 51 46 31 20 14 10 6 3 1 0 0 0 0 0 0 0 0 0 0 2 9 15 22 29 40 47 47 48 55 60 64 64 64 67 66 69 74 71 64 55 42 30 19 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 16 16 14 9 13 17 24 34 48 59 71 85 92 93 92 88 83 77 68 57 45 38 42 63 94 113 115 106 98 93 93 94 97 98 102 107 112 114 114 111 110 115 122 128 134 144 150 145 137 139 139 139 142 148 155 156 152 153 160 165 156 141 130 134 152 157 163 172 177 179 172 171 173 160 144 140 135 124 126 144 148 143 148 153 158 161 149 nan nan nan 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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nan nan 23 18 14 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 2 5 3 1 5 7 7 3 4 6 7 8 7 7 7 8 8 8 9 11 14 15 15 16 15 11 6 1 1 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 23 32 42 36 47 58 63 63 63 50 16 9 10 10 9 9 9 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 1 4 5 5 4 4 5 5 6 5 3 2 1 0 0 2 9 18 21 18 14 11 7 2 0 0 1 2 3 6 8 10 10 7 5 10 15 19 22 36 56 62 51 44 37 26 17 12 5 1 3 5 3 1 0 0 0 0 0 0 1 2 3 4 7 8 9 13 15 15 16 20 24 26 32 44 55 62 65 64 61 56 49 43 40 37 31 24 14 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 18 32 50 64 73 81 85 82 77 71 62 53 49 60 82 107 120 119 113 111 108 100 90 84 80 79 85 101 120 125 116 110 115 120 131 138 138 140 145 145 143 149 153 157 161 163 163 162 152 135 118 111 120 138 153 156 162 168 171 175 177 170 154 132 127 131 134 134 128 118 120 133 145 153 154 148 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 38 30 20 14 12 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 4 4 3 3 5 8 10 9 7 7 8 10 12 13 12 8 2 0 0 0 1 3 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 2 8 17 28 30 41 40 50 60 61 61 60 47 18 9 9 10 10 10 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 3 6 5 4 4 5 6 6 6 6 4 3 1 1 1 6 13 17 15 11 10 10 8 5 2 1 0 0 1 5 7 8 6 2 0 6 11 15 19 28 45 54 56 59 56 40 23 13 7 2 2 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 9 8 7 8 10 15 24 32 40 48 54 57 59 59 57 55 56 54 44 36 26 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 8 22 38 50 63 78 84 80 74 67 60 60 67 75 100 123 125 119 121 124 118 107 96 87 80 80 94 112 117 111 96 102 108 117 125 130 136 142 143 139 136 142 151 159 164 164 159 150 138 125 118 125 140 160 162 162 165 168 169 166 160 145 126 115 116 122 126 122 115 117 126 138 144 144 141 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 51 44 34 23 16 12 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 1 3 6 9 10 8 6 5 6 8 11 11 7 2 0 0 0 0 1 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 34 35 41 45 50 56 56 60 60 42 19 11 9 8 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 4 2 1 1 1 2 5 5 6 6 7 7 8 8 7 7 5 4 2 2 6 14 17 16 12 8 7 8 8 7 6 4 2 2 2 3 4 3 2 0 0 4 8 10 16 23 38 50 55 62 70 61 39 21 12 7 6 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 8 8 8 11 14 19 24 29 36 42 46 50 51 52 56 58 56 53 46 36 19 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 7 19 29 42 58 74 78 76 70 62 63 70 76 94 120 130 126 127 130 132 131 122 111 102 99 108 123 127 110 94 91 94 99 107 118 127 134 139 140 138 140 151 162 166 164 157 148 140 134 131 137 147 153 153 154 155 158 159 153 144 134 123 113 112 117 121 117 112 114 117 122 127 129 135 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 61 52 48 38 28 19 13 10 9 7 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 5 10 11 10 8 6 5 6 9 10 8 2 0 0 0 0 0 0 3 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 1 5 17 33 38 39 37 36 40 41 45 49 40 22 14 11 9 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 2 6 8 8 7 5 4 4 4 4 4 5 7 9 11 11 10 8 8 7 6 4 3 2 6 15 18 17 14 11 9 9 8 7 7 6 6 6 4 3 2 1 0 0 1 5 7 8 14 21 30 37 43 54 68 74 64 48 30 18 12 13 13 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 8 8 8 10 14 20 26 31 34 37 40 42 45 49 52 56 56 54 41 19 9 3 2 9 6 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 7 12 27 42 57 69 75 73 68 67 71 74 85 111 130 133 135 137 135 142 142 137 129 124 127 134 136 126 113 104 97 94 99 111 118 121 127 136 140 145 156 166 170 166 155 142 134 136 139 147 154 153 148 146 147 150 150 141 131 125 117 112 111 112 112 105 104 107 109 113 118 123 129 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 76 65 57 56 54 46 34 22 19 19 16 12 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 14 12 9 7 7 8 9 8 5 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 26 22 16 20 23 32 40 37 25 18 14 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 8 9 9 8 7 6 6 6 5 4 4 6 9 10 10 9 8 7 6 5 4 3 1 3 10 16 17 17 16 14 12 11 9 8 7 8 8 6 5 2 1 0 0 0 5 8 9 14 21 25 25 24 30 42 54 66 72 63 44 30 25 26 24 21 16 5 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 3 2 2 4 5 9 19 24 28 33 33 34 35 36 39 42 51 50 36 24 14 8 14 23 22 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 15 29 42 55 66 72 72 70 70 66 72 98 123 131 136 137 128 133 138 143 142 138 134 132 137 138 133 124 114 110 111 115 115 113 116 128 136 143 155 165 169 163 149 135 130 136 144 154 159 157 151 144 140 144 146 137 127 117 108 107 109 110 107 100 100 103 105 112 120 126 130 130 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 87 74 65 71 72 65 50 34 26 25 25 25 22 18 13 6 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 6 12 13 12 9 8 8 9 9 8 7 5 3 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 8 2 3 8 17 24 31 25 26 20 17 13 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 8 7 6 7 8 6 5 5 5 6 7 8 8 8 7 6 4 3 3 2 1 0 3 11 16 19 21 19 17 16 16 14 12 11 9 7 6 4 2 0 0 0 4 6 7 12 19 23 22 18 16 19 25 38 58 76 71 58 52 38 32 27 22 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 7 12 16 17 16 18 20 21 23 30 38 37 30 21 13 14 26 36 31 18 6 0 0 0 1 1 0 0 0 0 0 0 0 0 0 2 6 8 7 6 8 16 29 42 54 65 70 70 70 67 69 86 108 122 128 124 119 118 123 131 139 141 135 128 127 130 128 120 112 108 111 114 111 110 114 127 134 133 143 152 159 157 145 132 128 135 147 157 162 160 152 137 126 128 136 132 121 108 102 109 115 115 113 109 106 104 106 111 116 124 129 126 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 108 97 82 86 87 78 64 50 38 33 33 31 29 24 18 10 4 3 5 5 4 1 0 0 0 0 0 0 0 0 0 1 2 5 8 3 0 1 4 7 10 10 9 9 11 11 10 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 13 19 21 24 24 20 18 13 10 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 9 8 6 7 12 14 12 7 5 5 6 6 6 6 6 5 4 3 2 2 2 1 0 2 5 10 17 22 23 22 22 26 30 29 24 18 12 8 5 2 0 0 0 1 4 6 10 14 18 19 17 15 16 18 23 39 70 83 76 66 57 38 29 24 18 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 2 4 6 11 18 22 20 15 10 14 28 40 44 36 22 9 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 9 8 10 18 32 44 55 62 65 69 69 69 76 91 108 119 118 113 110 111 116 127 133 128 122 120 119 112 103 92 74 72 74 85 93 103 116 123 129 135 140 145 145 138 131 127 133 148 160 164 161 150 126 108 108 122 124 113 100 98 103 109 115 118 117 115 109 103 100 103 110 115 114 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 112 108 98 91 86 77 68 66 60 54 49 41 31 24 18 11 7 6 6 6 5 1 0 0 0 0 0 0 0 0 0 1 2 8 14 13 5 0 0 1 3 4 5 9 14 16 14 11 8 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 17 22 22 19 17 13 11 10 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 8 8 6 13 18 19 17 12 8 7 10 8 6 6 6 5 4 4 4 4 3 2 1 1 2 5 12 18 22 23 24 29 38 44 42 37 30 18 10 4 1 0 0 0 0 2 5 8 11 14 17 19 23 27 35 48 71 88 86 76 65 46 32 26 22 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 9 9 9 15 31 46 52 49 39 27 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 10 9 9 11 23 35 47 54 57 61 64 65 65 74 92 108 116 116 114 113 110 114 119 116 112 110 108 99 89 78 59 42 38 43 58 71 84 99 114 125 131 135 136 136 133 124 126 141 154 164 161 148 127 109 106 117 117 104 93 90 92 95 103 111 113 113 110 101 91 87 92 97 99 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
64 77 92 102 97 83 70 64 71 80 86 75 60 40 28 19 12 9 8 8 7 6 5 3 1 0 0 0 0 0 0 0 0 1 5 12 15 13 6 1 0 0 0 2 6 12 20 21 15 9 6 5 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 17 21 21 17 17 14 12 11 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 8 10 16 20 20 17 14 14 18 20 18 15 14 10 9 10 12 13 12 9 7 4 3 3 5 9 13 15 19 21 22 29 38 43 44 43 39 30 20 14 9 4 2 2 2 1 3 7 14 21 28 36 44 57 66 76 86 88 85 76 61 43 29 24 20 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 13 18 33 49 54 54 50 42 27 12 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 8 9 16 27 38 44 47 50 52 54 54 60 77 95 107 116 121 120 116 113 109 104 100 94 96 88 79 69 54 36 29 28 32 39 50 65 84 101 112 119 124 133 134 126 122 123 129 141 146 138 129 118 114 116 112 102 96 94 93 91 94 97 99 98 97 92 83 77 80 86 90 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
45 54 80 109 116 97 76 66 78 103 112 99 83 66 46 31 20 14 12 12 9 8 7 6 4 2 1 0 0 0 0 0 0 0 1 5 10 13 10 3 0 0 0 0 2 6 16 22 19 9 5 3 3 4 5 4 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 22 23 20 15 16 15 13 12 13 12 8 4 1 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 4 5 7 7 8 11 16 20 19 14 11 14 20 22 21 20 21 20 17 16 19 21 21 18 14 11 11 11 11 12 13 13 14 16 16 17 20 26 29 35 39 34 28 27 24 23 19 14 12 8 10 15 22 31 40 49 55 60 68 65 69 76 85 87 77 59 37 24 21 17 9 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 1 4 7 10 14 18 20 28 41 48 52 54 53 45 28 8 0 0 0 0 0 3 8 10 5 0 0 0 0 1 2 3 6 6 9 16 25 32 36 38 40 42 44 47 61 80 92 102 116 122 126 120 106 97 96 82 84 79 71 61 48 32 23 19 18 20 27 39 56 74 89 98 104 112 120 123 121 115 112 116 122 120 119 118 116 118 117 110 107 107 101 95 92 82 79 77 76 76 71 68 72 80 87 92 95 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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105 90 76 66 62 60 56 51 46 44 45 52 69 92 112 118 109 104 107 115 118 110 94 78 61 48 42 42 43 45 43 40 40 42 56 80 97 100 96 90 81 67 53 40 31 27 20 13 8 9 12 14 14 11 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 3 3 4 4 4 3 1 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 4 9 11 11 18 32 43 42 36 31 27 22 20 12 10 8 7 6 6 6 8 10 18 25 23 21 21 22 21 16 7 6 4 5 7 7 7 6 6 6 6 7 8 11 14 16 16 18 20 21 21 19 16 11 6 3 4 3 4 8 12 17 20 20 18 16 15 14 14 15 15 15 15 15 14 13 13 14 14 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 19 28 34 37 39 39 36 33 29 20 7 1 2 4 12 17 20 21 21 20 20 20 21 22 21 15 8 4 6 12 19 23 21 8 1 0 0 0 0 0 0 0 0 0 0 0 0 4 17 32 41 34 29 22 24 44 56 44 21 7 4 3 1 2 6 8 7 7 9 18 23 22 12 6 2 0 2 4 6 8 8 7 7 11 17 20 20 21 23 25 26 26 27 29 30 32 32 29 24 18 14 14 16 17 14 10 7 6 6 5 4 4 4 4 4 5 6 6 7 10 19 26 26 23 22 22 24 26 26 23 17 12 8 8 9 12 16 25 32 36 36 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
124 111 92 73 63 61 59 56 51 46 42 38 44 67 101 128 131 121 119 125 131 124 103 83 66 55 52 55 57 57 53 46 43 42 46 55 59 64 66 72 80 86 80 65 47 35 31 24 15 16 16 15 14 13 12 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 4 5 4 4 4 4 3 2 1 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 13 12 20 35 42 42 36 32 28 25 21 13 10 9 8 7 6 6 7 10 17 24 25 23 22 23 20 11 5 4 4 5 7 8 6 5 5 5 6 11 17 19 21 20 19 20 22 21 17 11 4 3 3 3 3 3 2 4 8 12 16 17 17 16 16 15 13 13 14 14 17 18 18 18 20 20 18 15 11 8 5 4 2 1 0 1 0 0 0 0 0 0 0 0 0 0 1 6 14 21 24 25 26 27 27 25 21 15 10 10 12 17 21 20 20 23 21 20 20 20 22 21 14 4 2 4 8 13 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 38 48 45 42 35 30 42 56 50 31 18 14 10 4 2 4 4 4 5 7 13 19 21 17 12 5 1 1 3 5 9 14 16 13 8 13 15 15 15 17 19 20 21 22 23 25 27 29 28 23 18 15 16 19 21 19 15 10 7 6 6 6 4 4 4 4 5 6 6 6 10 18 25 28 25 20 16 14 14 16 18 18 15 14 14 14 16 19 24 30 34 35 31 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
129 126 115 94 73 62 60 59 57 53 47 39 36 47 77 111 129 123 113 112 118 121 108 91 74 61 56 61 66 64 60 57 58 59 65 72 74 67 57 55 66 85 98 93 72 49 35 29 22 27 30 28 21 16 15 15 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 8 8 7 5 4 4 4 3 2 1 1 1 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 15 16 24 36 41 38 36 32 27 25 19 12 10 9 8 7 6 7 10 14 20 26 26 22 20 21 16 6 4 3 3 4 6 6 5 6 8 10 12 17 21 23 23 21 19 20 21 16 10 5 3 4 4 3 3 3 3 4 5 8 10 13 15 16 15 13 12 12 12 14 15 17 19 20 21 21 20 19 17 17 17 17 16 14 11 10 10 11 8 7 9 7 4 5 6 6 7 9 14 21 23 22 22 25 26 25 23 22 22 25 26 29 31 29 29 32 32 31 28 26 25 22 16 6 4 4 6 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 39 55 63 62 52 39 41 56 58 40 25 22 19 11 6 3 1 1 2 6 10 16 20 21 19 11 2 0 1 3 8 17 24 23 18 16 18 18 19 19 18 16 16 17 19 20 24 26 25 22 18 17 20 24 25 23 20 14 9 7 7 7 6 5 5 5 5 6 6 6 9 16 23 25 23 17 11 8 7 10 15 19 21 23 26 27 28 29 31 33 34 33 28 21 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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66 77 75 74 96 109 107 104 102 94 79 63 52 43 35 29 28 42 64 83 88 75 60 62 73 66 47 42 51 52 56 57 56 66 79 84 75 64 59 61 64 66 80 112 139 138 113 89 81 83 81 76 68 58 46 33 24 19 15 11 7 5 5 4 4 7 11 9 4 1 0 1 3 4 4 4 8 12 9 5 4 4 4 5 6 8 10 11 12 11 9 6 4 4 4 3 2 0 0 1 2 2 2 2 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 17 21 22 22 22 23 21 17 13 14 15 15 14 12 9 7 6 6 6 13 22 18 8 4 5 6 5 6 8 7 4 2 1 1 1 1 2 5 9 11 8 6 9 13 13 13 15 17 16 15 15 18 24 27 27 23 18 15 15 20 26 31 34 35 38 40 33 20 9 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 2 1 2 4 5 6 8 10 12 14 19 24 27 31 38 45 49 49 45 40 37 37 34 27 22 18 15 13 11 10 3 0 0 0 0 2 10 20 25 31 40 58 88 108 107 100 101 108 105 82 55 40 39 41 40 37 43 44 41 38 32 29 29 30 31 29 25 21 15 10 10 13 13 10 15 20 25 29 34 36 33 33 39 49 60 65 59 34 36 50 50 38 26 15 10 14 25 39 51 51 37 30 30 29 33 38 42 42 41 42 45 46 47 43 36 33 38 42 41 36 34 33 31 28 25 23 21 20 18 18 17 15 13 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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62 39 24 22 24 33 51 69 82 90 88 73 57 45 42 42 39 36 38 54 81 103 109 102 96 99 113 119 104 86 84 91 91 86 83 84 90 95 104 104 99 110 123 126 128 126 110 82 46 17 8 20 77 119 106 70 43 31 25 23 23 27 35 47 53 46 27 8 1 0 0 6 15 18 15 10 7 9 19 27 28 24 21 20 18 14 11 10 11 12 13 13 13 12 11 11 11 9 7 4 2 1 1 2 2 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 10 14 16 15 15 18 22 24 20 16 16 17 16 12 9 10 9 7 6 5 5 5 6 6 6 6 4 3 2 1 0 0 0 0 0 1 3 6 8 9 10 13 18 23 26 27 27 27 28 29 30 32 32 32 33 38 40 37 28 19 13 15 25 38 39 26 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 17 18 19 20 20 19 18 17 19 19 17 13 15 18 15 9 4 1 0 2 7 13 19 24 29 34 41 52 72 96 117 129 130 120 99 72 45 32 26 24 20 15 13 16 22 27 28 29 33 41 46 45 39 26 14 4 1 4 9 9 7 9 12 13 25 30 25 17 8 5 8 15 26 40 47 46 46 51 51 45 38 41 48 50 45 37 34 36 40 40 41 45 52 58 60 58 61 63 63 65 67 65 57 49 50 45 38 32 30 28 27 24 19 11 11 11 13 20 28 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
70 60 41 29 27 32 44 55 66 87 102 98 80 64 56 56 56 50 54 65 75 80 82 86 93 98 103 110 106 89 73 75 82 92 97 97 94 97 110 120 113 106 118 128 138 145 135 108 79 56 41 42 77 119 118 77 44 31 28 27 26 26 32 43 53 52 37 12 1 0 1 8 18 21 15 8 6 10 20 30 25 16 14 17 22 23 20 14 11 12 13 15 15 14 12 12 12 12 9 6 3 1 1 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 1 2 4 3 6 7 9 12 12 12 12 16 22 23 19 15 16 17 14 8 5 8 9 7 5 4 5 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 17 27 33 35 34 33 34 34 35 34 35 36 38 43 49 53 52 48 40 29 20 26 40 40 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 13 16 16 15 14 14 16 17 17 17 19 23 23 20 13 5 2 3 6 13 22 28 31 32 37 46 62 82 105 124 134 131 112 90 65 45 35 28 20 12 7 8 13 18 20 18 21 33 45 51 49 39 24 9 3 11 18 20 21 18 19 21 27 30 29 25 20 17 14 13 16 26 39 44 43 49 56 52 44 42 46 43 34 29 28 32 37 39 44 50 61 73 77 74 67 64 61 66 71 74 66 58 54 45 36 31 31 32 32 30 23 14 12 12 13 16 23 30 33 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
59 66 62 53 57 67 69 57 48 76 113 113 87 62 48 50 59 65 68 64 51 46 50 58 76 94 98 95 95 94 87 80 79 90 98 102 98 98 110 127 131 116 110 120 134 143 152 142 123 107 100 99 101 110 104 75 50 45 44 37 30 27 30 40 51 53 42 21 3 0 1 10 20 21 13 5 3 9 20 26 17 10 9 12 19 24 26 21 14 12 14 17 17 15 12 11 12 13 12 7 4 2 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 1 2 3 4 4 6 7 9 10 9 9 11 16 21 22 18 16 17 16 10 3 2 6 8 6 5 4 5 5 5 4 2 0 0 0 0 0 0 0 0 1 2 2 2 2 3 6 12 21 32 39 39 37 37 37 37 36 37 39 43 48 55 58 58 58 58 56 45 27 26 38 38 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 10 10 10 11 12 14 15 17 21 28 34 34 26 13 7 5 7 14 24 33 36 35 36 42 53 68 86 108 128 142 143 124 96 68 50 40 30 18 10 8 9 14 14 10 11 20 34 47 51 45 31 15 4 5 12 20 26 27 26 27 29 31 32 32 32 33 33 25 18 23 35 37 32 29 36 45 50 52 50 42 27 20 20 25 30 35 41 48 60 74 83 87 84 73 58 54 61 70 70 64 56 43 33 32 35 38 40 37 28 18 13 12 13 14 18 24 28 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
41 49 60 69 84 96 86 54 34 54 95 97 66 40 27 30 49 69 74 58 35 26 29 36 56 87 100 92 87 91 99 99 97 100 104 109 107 100 102 119 139 135 121 118 131 142 156 157 141 128 128 130 120 103 83 66 64 72 66 48 35 32 34 42 51 51 42 26 9 2 3 12 22 21 11 4 3 11 22 24 16 8 7 10 18 25 28 26 19 14 15 18 17 14 11 11 11 12 12 9 5 4 3 2 2 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 7 7 8 7 6 8 12 19 22 21 17 15 16 13 6 0 1 6 9 6 5 5 5 4 3 2 1 0 0 0 0 0 0 1 2 4 6 7 6 6 7 9 13 18 25 31 34 34 35 35 35 35 35 38 42 46 48 49 49 50 51 52 45 31 28 35 34 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 9 11 12 13 17 27 38 45 38 28 22 17 17 20 27 34 41 42 40 43 50 60 72 87 106 126 143 142 123 98 79 65 49 33 23 18 16 15 13 9 7 12 22 35 43 44 35 19 5 1 2 8 21 28 30 30 31 32 34 35 37 42 44 41 34 34 39 38 28 18 17 28 43 53 52 48 30 23 23 27 30 33 38 43 49 59 68 83 94 88 67 50 51 64 71 68 55 37 27 27 34 42 45 42 33 22 15 13 12 13 14 19 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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