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