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