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