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 3 3 3 3 4 4 4 4 4 4 5 7 6 4 3 4 6 8 8 7 6 5 5 5 6 7 7 7 8 9 9 8 8 8 8 8 7 7 6 5 5 5 4 3 2 2 3 4 5 4 3 2 2 2 2 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 7 7 7 6 5 5 7 8 7 6 5 5 5 5 4 5 5 5 6 6 7 7 6 5 5 5 7 10 12 10 6 2 3 8 11 -1 8 10 4 3 5 -0 8 15 8 3 3 5 5 3 5 -0 -0 7 7 -1 3 8 5 3 5 7 3 0 3 12 14 8 3 6 10 8 6 5 4 7 7 1 -2 2 6 5 4 8 5 -0 1 4 5 4 1 0 3 4 2 8 27 42 34 16 9 6 4 3 3 3 3 2 2 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 9 11 14 17 19 17 11 6 3 2 3 4 4 3 -2 -3 2 4 5 4 4 5 6 5 4 3 2 3 4 5 7 7 6 5 4 3 5 13 15 8 5 5 5 5 5 4 3 3 4 3 3 2 2 1 1 1 1 1 1 2 2 2 2 2 1 0 0 2 3 4 4 4 5 5 5 7 9 10 11 11 10 8 5 4 5 6 6 4 4 4 4 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 6 6 6 5 4 4 4 8 17 29 21 8 5 8 6 -0 1 -4 -6 -12 -5 1 -3 -1 4 3 3 2 1 -4 -13 -16 -10 -7 -8 -6 -1 3 4 5 6 6 8 11 17 20 19 12 7 7 8 8 9 11 14 17 20 19 18 17 18 19 16 13 10 10 9 10 11 10 9 7 6 5 6 6 6 6 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 3 3 2 2 3 4 4 4 4 4 5 6 7 5 3 2 3 5 6 6 6 5 5 5 4 5 5 5 6 8 9 8 8 9 10 10 10 9 7 7 5 4 4 4 3 3 3 3 4 4 3 3 4 4 4 3 3 3 3 3 2 2 2 3 4 4 4 4 3 3 4 3 3 3 3 3 2 2 2 3 3 3 3 2 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 5 6 7 5 5 5 5 8 14 16 16 11 2 6 17 10 2 11 10 5 3 8 2 3 6 8 6 3 0 -0 3 2 -0 1 4 2 -1 7 12 8 5 6 10 11 5 0 5 12 12 9 8 8 10 9 5 5 10 10 5 3 2 0 1 5 9 5 1 2 4 6 5 5 6 7 8 12 22 35 36 22 9 7 4 3 3 3 3 3 2 2 2 3 3 3 4 5 5 5 5 5 4 5 4 4 4 4 5 5 5 6 6 8 10 13 17 19 17 11 6 3 2 3 4 4 1 -3 -5 0 5 5 5 5 4 4 5 3 2 2 2 5 7 8 6 5 5 5 4 5 11 12 8 6 5 5 5 5 5 3 3 3 2 2 2 2 1 1 1 1 1 1 1 2 3 3 2 2 1 1 3 4 4 5 5 5 6 7 8 10 11 13 12 12 10 6 5 5 6 5 4 3 4 5 5 5 4 4 5 5 5 5 6 6 5 5 5 4 5 6 7 7 6 6 5 4 5 9 18 26 24 17 13 7 7 11 7 -2 -1 1 2 0 3 4 5 7 8 7 4 0 -1 -2 -1 -3 -4 -2 1 3 4 5 5 5 5 8 11 12 10 5 5 5 5 5 7 9 11 13 14 13 12 12 9 7 7 7 7 7 8 9 8 7 6 5 5 5 7 7 6 7 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 nan nan nan 6 5 3 2 2 2 3 4 4 5 5 5 5 6 6 5 3 3 3 4 5 5 6 5 5 4 4 4 4 4 5 7 7 6 6 8 9 9 9 8 7 5 5 5 4 4 4 3 3 3 3 3 3 4 5 5 4 3 3 3 3 2 2 2 2 3 4 4 4 3 3 3 3 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 5 5 5 5 4 4 5 5 6 6 6 6 5 6 6 7 7 6 6 5 4 5 5 5 5 5 6 5 5 6 6 5 4 5 10 16 18 22 13 2 7 15 4 5 10 6 3 3 6 1 -3 -1 6 8 7 2 3 7 4 2 1 2 1 3 12 13 11 8 8 12 14 10 7 7 4 7 10 9 7 9 5 1 6 12 12 9 5 1 -3 -1 4 7 8 7 4 4 5 7 7 8 10 14 25 37 35 21 10 6 5 4 3 3 4 3 3 3 2 2 2 3 4 4 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 6 7 9 12 16 18 16 11 7 4 3 4 4 3 0 -5 -9 -2 7 6 6 5 4 4 4 4 3 2 3 7 9 8 6 5 5 5 4 4 7 7 3 4 4 2 1 4 5 4 3 2 2 2 2 2 2 2 2 1 1 1 2 3 4 4 4 3 2 2 4 5 5 5 5 5 6 8 9 11 12 13 14 13 11 8 5 5 6 4 3 3 4 5 5 5 5 5 4 4 4 5 5 5 6 5 4 4 4 5 6 6 7 6 6 5 4 4 6 14 20 22 18 8 6 6 4 1 3 5 4 3 4 4 6 6 7 9 7 6 7 6 6 5 4 3 3 3 4 4 5 5 5 5 6 7 6 5 5 5 5 5 5 6 7 8 9 8 8 6 5 4 4 5 7 8 8 8 7 7 6 5 5 6 7 7 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 3 3 2 2 2 3 3 5 5 5 5 5 6 6 5 3 3 3 4 4 5 5 5 4 4 4 3 3 4 5 5 5 4 4 6 6 7 6 5 5 5 5 5 5 5 4 3 3 2 2 2 3 4 5 5 5 5 5 4 3 2 2 2 2 3 3 4 4 3 3 3 4 4 4 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 5 5 4 4 4 4 5 6 6 6 6 6 5 5 4 4 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 7 7 7 6 6 4 5 5 5 5 5 6 6 5 6 5 5 4 5 10 13 14 18 13 4 4 8 4 3 7 7 1 4 6 -2 -7 -1 7 12 10 5 6 11 11 3 1 1 3 8 12 11 10 9 9 11 11 10 11 11 8 8 9 8 10 10 2 -4 4 13 16 12 4 -3 -3 -0 3 7 9 8 5 4 5 6 6 8 13 24 36 38 24 10 6 5 5 4 4 4 4 4 3 3 2 2 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 6 6 8 11 13 16 15 11 7 4 4 4 3 2 -1 -7 -8 2 8 7 6 5 5 5 4 5 4 3 5 8 9 7 5 5 5 5 4 4 5 4 2 2 1 -0 1 4 5 4 3 3 2 2 2 2 2 2 2 2 1 2 3 5 6 6 5 4 4 4 4 4 5 5 5 5 6 8 9 11 11 12 13 13 12 9 6 5 5 3 2 3 4 5 5 5 5 5 4 4 4 4 5 6 6 5 4 4 4 4 4 5 5 5 5 5 3 2 1 2 6 14 17 11 6 5 3 1 3 5 5 4 5 5 6 7 7 7 8 8 5 3 5 8 8 6 5 6 4 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 6 6 6 6 5 4 3 3 4 5 7 8 7 7 6 5 5 5 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 2 2 2 2 2 3 4 4 4 4 5 5 5 5 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 5 4 3 3 4 4 3 3 4 5 5 5 6 6 5 4 4 3 2 2 2 2 3 5 5 6 6 6 5 4 3 3 2 3 3 3 3 3 4 3 3 3 4 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 5 5 5 4 4 5 5 6 6 6 6 6 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 6 7 7 7 7 6 6 5 4 5 5 5 5 5 5 5 6 6 5 4 4 7 9 8 11 13 9 6 6 3 1 3 4 -0 9 13 4 -2 1 9 12 7 2 -0 8 12 5 -1 0 5 9 8 3 2 7 9 8 6 5 7 8 14 14 10 8 8 8 6 -0 3 8 11 11 5 2 5 4 4 8 9 7 6 4 4 3 4 8 18 31 34 24 11 5 5 5 4 4 4 3 4 4 3 3 3 3 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 7 9 11 13 13 10 7 5 4 3 3 2 -0 -2 1 5 6 7 6 5 5 5 5 5 4 3 6 8 8 6 5 5 5 5 5 5 4 3 3 1 -0 5 9 7 5 3 3 3 2 2 2 2 3 2 2 2 2 3 5 7 7 6 5 5 5 5 5 4 4 5 5 6 6 7 8 9 9 11 12 12 12 9 7 6 5 3 2 3 4 5 5 5 5 5 4 4 4 3 4 5 5 5 4 4 4 3 2 2 2 2 2 1 -0 -1 -2 -3 -2 2 8 9 6 4 4 5 6 8 8 4 4 5 8 9 10 8 6 8 7 5 7 7 7 7 7 6 5 4 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 5 3 2 2 3 5 6 7 7 6 6 5 5 4 4 4 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 4 4 3 2 2 2 1 1 2 3 3 4 4 4 5 5 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 4 4 3 3 3 3 3 4 4 5 6 6 6 5 4 3 2 2 1 2 3 4 5 6 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 2 2 3 3 3 3 3 3 4 4 3 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 5 4 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 8 12 10 6 8 6 2 4 3 -0 0 6 10 10 6 3 9 11 4 3 1 3 6 6 3 4 6 8 3 -1 -3 2 7 6 1 -2 2 6 12 11 7 4 2 2 8 8 4 4 6 8 9 11 10 6 7 9 7 7 7 5 2 2 3 9 20 26 20 10 5 4 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 6 7 10 11 10 8 6 4 4 4 4 4 2 2 4 5 5 6 5 5 5 5 5 5 4 4 6 8 7 6 5 5 5 5 5 5 3 3 3 2 3 8 11 8 4 3 3 3 2 3 3 2 3 3 3 3 3 4 5 7 7 6 5 4 4 5 5 4 4 5 5 6 6 6 7 7 7 8 10 11 11 10 9 7 4 3 2 3 4 4 4 5 5 5 4 4 4 3 4 4 5 4 4 3 3 2 1 0 0 -0 -0 -2 -5 -4 -4 -6 -4 -2 2 5 5 5 5 6 9 10 9 4 4 9 9 8 14 12 7 8 7 8 9 7 6 6 6 6 6 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 3 3 3 4 6 6 6 6 5 5 5 5 5 4 4 5 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 4 4 3 3 2 1 1 1 2 3 3 3 4 4 5 6 6 5 4 4 4 4 4 3 3 3 3 3 4 5 5 6 6 7 6 5 4 4 3 3 3 3 3 4 5 5 5 5 5 4 3 3 3 3 3 3 3 4 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 3 3 4 4 4 4 3 4 4 3 4 4 4 4 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 6 5 5 4 4 4 4 4 5 5 5 6 7 7 7 6 7 6 5 4 5 6 6 6 5 5 5 5 5 5 4 3 4 6 10 12 8 5 6 4 3 4 -1 1 5 1 0 6 10 5 11 11 3 6 8 4 2 7 8 5 4 4 0 0 1 1 5 4 -4 -7 2 5 7 3 2 2 3 2 -1 3 2 4 4 1 8 11 10 8 6 7 5 5 7 5 4 3 4 11 20 18 9 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 3 4 5 6 8 9 8 7 6 5 5 6 6 6 4 3 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 6 5 4 4 3 3 4 5 3 2 5 5 4 3 3 3 3 4 3 4 4 4 3 2 3 4 5 5 5 4 4 4 4 5 5 4 4 5 5 5 6 6 6 6 5 7 9 10 11 11 9 6 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 2 1 -0 -1 1 3 2 -0 -4 -3 -1 -3 -3 1 3 4 5 6 5 4 8 8 7 5 3 5 6 8 13 13 8 7 7 7 8 8 6 6 6 6 5 4 3 2 2 3 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 5 4 4 4 6 7 7 6 4 4 5 6 5 4 4 5 6 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 6 5 5 4 4 3 3 2 2 2 2 3 3 3 4 4 5 5 6 5 5 4 4 3 3 3 2 2 3 4 5 5 6 6 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 3 3 4 4 4 3 4 3 3 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 4 5 4 5 5 6 6 5 5 4 4 4 3 3 4 5 6 7 7 7 6 6 6 5 4 5 5 6 6 6 5 5 5 5 5 4 4 4 6 9 10 9 7 7 5 5 7 5 4 4 2 2 7 9 8 12 8 3 6 7 5 3 7 8 4 1 3 3 4 6 4 7 2 -8 -3 6 9 8 1 1 1 5 3 -1 0 3 5 3 -2 3 5 4 5 6 9 7 5 5 3 4 5 8 16 21 14 6 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 5 4 4 4 4 4 4 4 5 5 5 5 4 3 3 4 5 6 7 7 7 7 6 6 6 6 7 6 4 5 7 8 6 5 5 5 5 5 5 5 6 7 6 6 6 5 6 5 4 3 2 2 4 6 6 4 3 3 4 3 3 3 3 4 4 5 6 6 5 3 2 2 2 3 3 3 3 3 3 4 5 5 5 4 4 4 5 6 6 6 6 5 6 8 10 11 11 9 5 3 3 3 4 4 4 4 5 5 6 5 5 5 5 5 5 4 4 3 2 1 1 0 -0 3 8 7 3 1 2 3 2 2 3 4 3 4 6 6 5 6 6 6 9 7 1 1 5 8 9 7 6 6 7 7 7 7 7 6 7 7 6 3 -1 -0 2 4 4 3 3 3 3 4 4 5 5 7 7 7 6 5 5 6 6 5 4 5 7 8 8 6 4 4 5 6 6 5 5 6 7 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 3 4 5 5 6 6 6 5 5 4 4 3 3 2 3 4 5 5 6 5 4 4 5 5 6 6 5 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 4 4 4 4 3 3 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 4 5 5 5 5 6 6 5 5 5 5 4 4 3 4 4 5 7 7 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 3 4 6 8 9 9 8 8 8 10 11 8 8 10 8 6 6 11 12 5 6 6 3 7 5 8 9 6 3 4 5 6 9 10 10 -1 -7 2 8 11 11 8 1 1 4 2 1 5 8 10 6 2 1 4 -0 3 8 9 6 5 3 2 4 8 12 20 20 10 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 7 7 7 7 7 5 6 13 15 11 8 7 6 6 6 6 5 6 6 6 6 6 5 4 4 3 2 1 2 4 5 6 7 8 5 3 3 3 3 4 5 6 7 8 8 6 3 1 1 1 2 2 2 3 3 3 4 4 5 5 5 4 4 5 5 5 6 6 5 6 7 9 11 11 8 5 2 2 3 4 4 4 4 5 5 5 6 5 6 5 5 5 4 4 3 1 1 1 4 5 5 8 8 5 4 4 4 4 3 3 3 3 3 3 6 9 9 8 10 14 12 4 -0 2 5 6 5 6 6 6 7 7 7 7 7 7 8 8 7 3 1 2 3 4 3 3 3 3 3 3 4 5 7 7 8 7 6 5 5 6 5 4 5 7 9 9 7 5 4 4 5 5 5 5 6 7 7 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 5 5 6 5 5 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 6 6 5 4 4 4 4 5 6 6 6 5 5 5 5 4 4 5 5 6 6 6 6 6 5 5 5 4 3 3 3 4 7 6 5 8 10 8 5 9 12 13 10 6 4 5 6 8 11 7 4 8 9 9 11 9 3 2 6 7 9 9 7 -2 -4 4 7 9 13 10 -0 5 7 4 5 4 6 9 5 5 2 4 3 6 11 9 5 2 0 2 5 8 14 20 15 7 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 6 7 13 17 17 16 13 11 10 8 8 6 7 7 6 5 5 4 3 2 1 1 2 3 5 6 5 6 8 8 5 3 4 4 5 6 8 9 10 10 6 3 0 -0 1 1 2 2 3 4 4 4 4 5 5 5 5 4 4 4 5 5 6 5 5 6 8 9 10 8 5 2 1 1 2 3 4 4 5 5 4 5 5 5 5 4 4 3 3 2 2 1 1 7 14 10 5 6 5 5 4 4 2 3 5 5 5 5 6 9 12 12 13 13 14 15 11 4 3 5 5 5 5 6 6 7 7 8 8 9 8 9 10 11 10 7 6 3 3 3 3 3 2 3 3 4 5 6 7 8 8 7 6 5 5 5 4 5 6 8 9 8 6 5 4 5 5 5 5 5 8 8 5 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 2 1 1 2 3 3 3 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 7 7 5 4 4 4 5 6 6 6 5 6 5 5 5 5 5 5 6 7 7 7 6 6 6 5 4 3 3 2 2 4 7 6 7 8 6 3 7 9 9 8 3 1 -1 1 8 11 8 6 6 10 11 10 8 2 -1 4 7 7 3 4 0 0 4 6 10 13 6 -2 6 6 4 5 5 7 4 1 4 5 6 7 12 13 9 6 3 3 5 6 8 14 18 12 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 7 10 15 17 18 18 16 14 13 12 13 11 9 7 5 4 3 1 1 3 5 8 10 10 8 9 12 13 8 4 4 5 5 7 9 11 12 11 6 1 -1 -0 2 3 2 3 3 4 4 4 4 4 5 5 5 5 4 2 2 3 5 6 5 5 6 8 9 8 6 4 1 -1 -1 -0 2 3 5 4 4 4 3 3 3 3 2 0 -0 0 0 -0 0 6 16 14 6 5 5 6 5 3 3 5 9 12 11 10 10 12 14 14 14 12 10 11 10 7 4 4 5 5 5 6 6 7 8 9 9 9 9 9 10 11 11 9 8 6 4 4 3 3 3 3 3 3 4 5 6 8 9 8 7 6 5 4 5 5 6 8 8 8 7 5 5 4 5 4 4 5 7 8 6 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 4 4 4 4 3 4 3 4 4 4 3 3 3 2 2 1 2 2 2 2 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 4 4 3 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 7 7 8 8 8 8 6 5 4 4 5 6 6 6 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 5 4 3 3 3 4 8 12 10 6 2 1 4 8 8 6 4 1 0 4 5 6 7 5 5 5 10 12 11 9 4 -1 5 12 4 -2 1 2 3 4 4 7 8 2 -0 4 6 5 4 9 6 4 3 3 2 3 8 10 10 10 7 4 8 12 11 11 17 16 8 4 4 4 4 3 4 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 6 6 6 5 4 3 3 4 4 4 4 5 5 6 5 5 5 7 10 12 14 15 16 16 18 16 14 13 10 7 6 5 5 5 7 12 15 15 14 13 15 18 16 7 5 4 5 6 7 9 12 13 10 6 1 -1 1 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 0 -6 -6 1 5 6 5 5 6 7 7 8 7 5 2 -1 -3 -2 -1 1 3 3 2 1 -0 -1 -1 -1 -3 -6 -5 -4 -4 -2 5 12 11 6 5 6 5 5 4 4 8 12 13 13 13 10 9 11 13 10 8 7 6 5 5 5 4 5 5 5 5 6 7 8 9 9 9 9 10 10 10 9 6 6 6 6 5 4 3 3 3 3 3 3 4 5 7 8 9 8 6 5 4 5 5 6 6 8 8 7 6 5 5 5 5 4 4 6 7 7 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 4 5 5 5 5 5 5 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 7 8 9 9 9 9 8 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 7 7 6 6 7 6 6 4 4 3 5 9 12 13 9 3 -5 0 9 10 3 4 8 9 4 7 7 6 8 6 5 7 10 11 13 12 6 2 9 16 7 -1 1 5 3 4 3 2 0 -4 -0 2 8 6 4 7 5 7 7 3 -4 -2 7 9 8 9 7 5 8 13 15 19 20 14 6 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 4 3 3 3 3 3 4 3 4 4 4 4 4 4 5 6 8 9 11 12 11 11 12 11 12 12 11 12 14 17 18 17 15 15 17 20 20 12 5 4 5 6 7 7 8 12 12 10 5 1 1 2 4 5 5 4 5 5 5 5 5 5 5 4 4 4 7 5 -6 -14 -10 1 6 5 4 5 6 7 8 9 9 7 5 1 -3 -5 -5 -4 -3 -1 -0 -3 -5 -4 -3 -4 -8 -9 -9 -7 -3 2 6 7 6 6 6 5 6 8 11 11 10 9 8 8 7 6 7 9 9 6 6 6 5 4 5 4 4 5 5 5 6 6 7 9 10 10 11 10 10 10 9 7 6 6 6 6 5 4 3 3 3 4 4 4 4 6 7 8 8 7 6 4 5 5 5 5 6 6 6 6 6 6 7 6 5 4 4 6 6 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 2 3 3 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 7 8 9 10 10 11 10 9 7 5 4 5 6 6 5 5 5 5 6 5 5 5 5 6 6 7 5 6 6 6 5 5 4 4 6 9 10 8 5 0 -6 5 11 11 1 10 14 14 8 3 3 7 10 8 6 6 7 9 12 12 8 9 11 8 5 3 5 7 4 6 4 1 -2 -4 1 4 8 5 5 4 8 10 6 1 -0 3 6 7 8 8 6 6 8 8 13 22 19 10 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 5 4 5 6 8 11 14 15 16 18 20 20 15 12 11 12 14 16 14 8 4 4 5 6 7 8 7 8 9 7 4 3 3 3 2 2 3 2 1 2 4 5 5 5 5 5 4 5 9 12 6 -5 -10 -4 4 5 4 4 5 5 6 8 9 10 10 9 5 -0 -6 -11 -12 -8 -3 -1 -4 -4 -3 -1 -3 -5 -6 -5 -0 1 2 3 5 7 7 6 8 15 20 15 8 6 4 4 5 5 7 9 8 6 5 4 4 4 4 4 4 4 4 5 5 5 7 8 10 11 12 12 11 11 10 8 7 6 6 6 7 6 5 4 4 4 4 4 4 5 6 7 8 7 6 5 5 4 4 4 4 5 5 6 6 6 7 7 6 4 3 5 6 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 2 2 2 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 3 2 2 1 1 1 2 2 3 3 4 4 3 3 3 4 3 3 2 2 3 3 4 5 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 6 6 7 9 9 11 12 12 12 11 8 5 5 6 6 6 5 4 4 5 6 5 5 4 5 6 6 6 5 5 5 5 5 5 4 5 5 6 5 2 3 3 3 6 5 -0 1 8 15 11 10 1 -0 3 5 6 8 7 3 2 4 8 11 14 12 4 1 4 7 6 4 6 6 5 3 1 3 7 7 6 6 6 12 13 8 1 7 9 6 6 7 7 5 7 9 7 15 21 14 7 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 5 4 4 3 2 2 2 2 3 3 4 3 3 3 3 3 3 4 4 5 7 10 13 14 16 16 14 11 8 7 7 8 9 9 8 5 4 4 5 6 7 7 6 5 4 3 3 3 4 4 1 -2 1 1 -5 -8 -2 3 4 4 5 5 5 6 11 18 16 8 4 1 3 4 4 4 4 4 4 5 7 8 9 11 11 9 4 -6 -14 -14 -8 -4 -2 -1 0 1 2 2 3 2 3 4 3 3 5 5 4 5 8 16 22 18 11 7 5 4 5 5 8 9 7 5 4 4 4 4 4 4 4 5 5 5 5 5 6 7 9 10 11 12 12 12 11 9 8 7 7 7 8 8 6 5 5 5 4 5 5 5 5 6 6 6 5 5 4 5 4 3 3 3 4 5 5 7 7 7 6 4 3 4 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 1 1 2 2 2 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 1 2 2 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 6 7 8 9 10 12 14 14 15 13 9 6 6 6 7 6 5 4 4 5 5 5 4 5 5 5 6 5 5 5 4 4 5 5 5 5 4 4 5 2 3 7 11 7 3 -5 5 4 10 8 14 6 2 -2 2 5 7 8 6 0 -0 6 10 12 10 6 5 6 4 3 5 6 7 9 6 5 7 9 8 7 7 9 12 9 10 5 8 7 5 6 6 5 5 7 10 14 22 20 10 4 3 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 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 5 4 4 5 5 5 5 5 4 3 3 3 4 3 3 3 3 3 3 3 3 4 5 6 7 8 9 9 10 9 7 5 5 6 6 6 6 6 5 5 4 4 4 5 6 7 6 4 2 2 2 3 4 6 6 3 2 5 -0 -11 -13 -6 1 2 2 4 4 5 10 18 20 11 6 5 4 4 4 4 3 2 1 1 1 2 3 3 6 10 11 6 -4 -9 -6 -3 1 1 1 2 4 4 4 5 5 5 6 7 7 7 5 5 3 5 13 15 10 6 5 5 6 7 9 8 6 4 4 4 3 4 4 4 4 4 5 5 5 5 5 6 7 10 11 11 11 11 11 10 9 8 7 7 8 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 3 4 5 6 7 6 4 3 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 1 1 1 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 4 4 4 4 4 3 2 1 1 1 1 2 2 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 4 4 4 4 4 3 4 3 4 5 5 5 5 4 4 5 6 6 6 6 7 8 9 9 11 14 17 19 18 16 12 8 7 7 7 7 5 3 3 4 5 5 5 6 6 6 6 6 5 4 3 3 4 5 5 5 5 5 5 5 4 8 10 5 5 3 11 -2 5 12 16 10 6 1 3 4 5 9 5 -0 1 6 7 7 5 5 7 5 0 2 6 8 10 9 3 5 12 11 7 6 7 8 7 5 6 7 8 4 2 5 5 5 6 6 9 18 25 18 8 4 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 4 4 3 3 3 3 4 4 3 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 3 2 2 2 3 6 10 10 8 11 11 1 -11 -15 -9 -2 -2 -0 1 3 6 11 14 9 3 3 3 3 3 2 0 -1 -2 -4 -7 -5 -3 -5 -6 -0 7 9 7 4 5 4 2 1 1 1 4 5 2 3 4 6 9 10 10 11 11 9 7 3 5 9 6 5 6 7 7 7 8 7 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 8 10 10 10 10 10 10 10 9 9 8 8 9 10 8 7 6 6 6 5 5 5 5 6 5 5 5 5 5 4 3 2 1 1 2 4 4 5 6 6 4 3 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 3 2 2 2 2 2 2 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 5 4 3 3 2 1 1 1 2 2 1 2 2 3 3 3 3 3 3 2 2 3 2 2 3 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 5 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 5 5 6 6 6 7 8 8 9 10 14 18 23 25 24 20 15 10 8 7 7 7 4 2 3 4 5 6 6 7 8 8 8 7 5 4 3 3 5 6 7 6 6 7 7 8 6 5 6 10 2 5 10 -0 -2 9 11 4 6 7 6 2 6 12 -0 -3 3 5 5 5 4 2 4 3 2 4 5 9 12 4 -4 2 8 10 7 5 6 8 6 -0 1 6 7 2 -0 4 5 5 5 5 8 19 24 15 6 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 5 4 4 5 5 5 5 6 5 5 4 3 3 3 3 3 4 3 3 4 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 3 2 2 2 3 5 7 8 11 13 8 0 -12 -16 -10 -9 -7 -6 -1 4 5 7 5 2 2 2 2 1 -1 -2 -3 -4 -4 -8 -9 -5 -4 -7 -6 1 6 8 9 9 8 5 5 3 2 5 9 7 4 4 7 12 13 11 9 10 11 10 8 6 7 5 5 6 7 7 8 8 7 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 9 9 9 9 9 10 9 9 9 9 10 10 9 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 2 1 1 1 2 3 4 5 5 4 3 3 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 6 5 5 4 4 4 4 3 2 2 2 1 1 1 2 3 3 3 3 3 4 4 4 4 5 5 4 4 3 2 2 1 1 1 1 1 1 3 3 4 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 5 6 6 6 7 7 8 8 9 11 16 21 27 32 31 24 18 12 9 8 8 6 4 2 3 4 5 5 7 7 8 10 10 9 6 4 3 4 7 7 7 7 6 7 9 10 8 2 6 13 7 8 1 3 -5 6 5 -1 2 9 10 6 8 9 -1 -4 1 2 3 5 6 7 4 2 3 4 3 9 11 2 -3 1 4 6 5 4 6 9 6 0 -2 3 3 2 4 4 5 5 4 5 9 20 24 13 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 5 4 4 3 3 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 1 1 2 3 8 12 9 4 0 -6 -8 -8 -8 -11 -10 -3 1 3 3 3 3 2 3 1 -1 -0 -1 -1 -0 0 -2 -2 1 2 0 2 5 6 6 6 6 5 6 7 5 6 10 15 12 8 10 12 11 10 6 4 8 7 6 7 7 6 6 6 7 7 7 7 6 5 4 3 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 7 8 8 9 9 10 9 7 8 9 9 9 9 9 8 7 7 6 7 6 7 7 7 7 7 6 6 5 4 3 2 1 1 1 1 2 3 4 4 4 4 3 2 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 6 6 6 6 6 6 6 6 5 4 4 2 1 1 1 2 2 2 2 3 3 3 3 4 4 5 5 5 4 4 3 2 1 1 1 1 1 2 3 4 5 5 4 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 3 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 3 3 4 3 3 3 4 4 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 6 6 6 7 7 7 7 10 13 18 23 30 36 35 27 18 13 10 8 7 5 3 2 3 4 4 6 7 8 9 10 12 11 8 5 4 6 7 6 6 7 6 6 8 10 8 1 3 7 7 6 1 6 -3 1 2 2 1 11 15 13 10 6 2 -1 -3 -2 2 5 10 15 9 3 2 2 3 7 7 3 2 3 5 4 3 3 6 6 4 4 1 0 0 3 10 7 5 5 4 5 10 23 24 11 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 6 5 5 5 6 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 1 1 2 7 15 15 8 4 2 2 3 -0 -4 -11 -11 -7 -2 1 2 2 2 5 4 3 6 8 5 4 4 5 5 5 7 7 6 6 6 5 5 4 4 4 7 8 6 7 12 15 13 13 11 8 9 6 4 4 5 5 6 7 7 6 6 6 6 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 7 7 7 8 10 11 7 5 7 8 9 10 9 9 8 8 8 7 7 7 8 8 8 7 6 6 5 5 4 2 2 2 1 1 1 2 3 3 4 3 3 2 2 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 6 6 6 6 6 6 7 7 5 4 4 3 2 2 2 2 2 3 3 3 3 3 3 4 5 5 4 5 5 4 2 3 2 2 2 2 3 3 4 5 5 5 3 3 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 8 12 18 22 27 34 39 36 26 18 13 11 9 6 4 3 3 3 4 5 6 7 8 9 10 12 12 9 7 6 6 4 2 4 6 7 5 6 7 6 1 3 4 4 4 15 15 2 -8 -5 5 4 11 14 14 10 8 8 4 -4 -4 2 7 12 15 11 6 5 2 2 6 6 4 5 6 5 1 3 5 7 4 2 6 4 1 2 6 9 6 5 6 5 6 12 24 24 10 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 5 5 5 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 5 13 19 18 9 2 4 7 6 4 -2 -6 -10 -10 -5 -2 -2 -1 2 5 5 8 11 9 6 6 6 6 6 7 7 7 6 6 6 6 5 5 0 3 7 6 6 7 10 13 14 12 9 7 6 4 4 5 5 6 7 6 6 6 5 5 4 4 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 4 5 6 6 7 7 10 10 6 6 7 7 8 10 10 10 9 8 6 6 7 8 8 8 7 5 5 6 5 4 3 3 3 2 1 1 1 1 2 3 2 1 1 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 3 3 4 4 4 4 4 6 6 6 6 5 5 4 4 4 4 3 3 4 3 3 2 3 3 4 4 5 5 5 5 5 4 4 3 2 2 2 3 3 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 3 4 4 3 4 3 3 4 4 4 4 3 4 3 4 4 4 4 3 3 3 3 4 3 4 4 4 4 3 3 3 4 3 3 3 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 12 20 25 29 33 37 37 31 23 17 13 10 8 6 3 2 3 3 4 5 6 7 8 9 10 11 11 10 8 6 3 -0 -0 2 5 5 7 7 5 6 4 6 8 3 2 15 15 8 -2 -5 5 6 6 7 7 11 10 10 5 -1 -0 3 7 9 9 7 8 6 1 1 6 8 6 5 8 6 0 3 8 11 8 1 2 4 2 4 8 5 3 5 6 5 7 16 26 22 9 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 9 15 21 18 11 9 8 7 6 5 4 -0 -7 -8 -7 -7 -6 -4 -2 -1 2 6 8 7 6 4 4 5 6 7 7 7 9 9 6 6 8 3 2 6 6 5 6 9 14 16 14 10 7 5 4 5 5 5 5 6 6 6 5 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 6 7 7 1 3 6 6 5 5 7 9 7 7 6 6 6 8 10 11 11 9 7 6 6 7 7 7 7 6 6 7 7 5 4 4 3 3 2 1 0 -0 0 1 1 0 0 1 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 2 2 2 2 3 3 2 3 3 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 5 6 5 5 5 4 2 2 2 2 4 4 5 5 4 5 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 3 4 4 4 5 5 5 5 6 6 7 7 7 6 11 25 35 33 31 33 33 28 23 19 15 12 9 7 4 3 3 3 3 4 5 6 7 8 9 9 9 9 9 8 5 1 -2 -1 2 3 4 7 7 4 4 3 9 12 5 2 9 12 9 4 4 9 8 4 2 1 9 8 7 5 5 5 3 5 5 4 6 9 7 2 3 8 11 7 6 9 6 1 3 8 11 9 3 3 5 6 8 7 3 2 3 5 4 6 17 26 21 9 4 3 3 3 4 3 3 4 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 8 13 18 20 18 15 11 7 6 7 6 2 -2 -2 -3 -3 -3 -4 -4 -2 3 6 8 7 3 4 6 6 6 6 10 13 11 8 8 11 8 3 4 5 5 6 11 17 19 16 11 7 5 4 5 5 5 5 5 6 6 5 3 3 3 5 6 5 4 3 3 3 3 3 3 3 3 3 3 2 3 3 4 6 11 6 2 5 6 6 5 6 7 7 6 5 5 6 7 9 12 13 12 9 6 5 5 6 6 6 7 8 9 9 7 5 4 4 4 2 1 -0 -1 -2 -2 -1 -0 -1 -0 0 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 3 2 2 2 1 2 2 2 2 2 3 3 4 4 5 5 5 6 6 6 6 7 6 5 4 4 3 3 3 4 4 4 5 5 5 6 6 5 4 3 2 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 4 3 3 4 4 3 4 4 4 4 3 4 3 4 3 3 4 3 3 3 3 4 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 23 45 44 28 23 25 23 19 17 15 12 10 8 6 3 2 3 3 4 4 5 6 7 8 8 8 8 8 8 7 3 -1 -2 -1 0 2 6 4 4 4 1 1 8 12 8 6 11 11 5 1 6 10 9 5 2 1 4 4 4 7 8 7 2 1 1 3 6 6 6 2 4 8 10 8 9 10 7 3 4 6 7 8 6 7 11 11 12 5 1 3 4 4 4 4 13 22 25 13 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 5 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 3 4 4 5 5 5 6 5 5 5 6 6 6 6 5 6 5 6 6 6 7 12 16 18 20 17 12 9 9 9 6 6 7 7 5 4 3 2 2 5 7 7 8 10 10 8 8 6 6 12 16 12 10 10 9 7 5 4 4 5 7 11 16 18 15 11 7 5 5 6 6 5 4 4 5 5 4 2 1 3 5 7 6 5 4 3 3 3 3 3 3 3 2 2 2 2 2 3 4 7 8 5 5 6 6 6 6 6 6 6 5 5 5 6 8 12 15 15 12 8 5 5 6 5 5 6 9 12 12 10 7 6 6 5 3 2 0 -1 -2 -2 -2 -1 0 0 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 6 6 6 7 8 8 7 5 4 3 3 3 3 3 3 3 4 4 5 6 6 6 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 7 7 7 8 13 33 48 31 8 4 13 16 15 13 12 10 8 6 4 3 2 3 4 4 4 5 6 7 7 7 7 7 7 6 5 1 -1 -1 0 2 3 5 7 6 3 1 3 6 8 6 5 9 8 2 0 3 6 7 5 3 2 4 7 8 11 9 6 5 1 -0 2 3 5 6 1 1 4 6 8 10 10 6 4 5 4 4 5 6 10 13 13 13 5 1 3 5 6 6 6 9 17 27 19 5 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 7 11 15 18 17 14 13 13 13 15 16 13 9 8 9 8 8 10 13 10 9 17 18 12 11 8 5 11 14 10 8 9 8 7 6 5 5 5 7 10 13 14 13 10 7 5 6 6 6 5 4 4 5 5 5 3 2 3 5 7 7 6 4 3 3 4 3 3 3 2 2 1 1 1 2 2 3 3 4 4 5 5 5 5 5 6 7 6 5 5 5 6 7 11 15 17 15 10 6 5 5 4 4 6 9 13 14 12 9 7 6 6 5 4 2 0 -1 -2 -2 -1 1 1 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 5 6 6 6 6 8 8 7 4 3 3 3 3 3 3 3 3 3 3 4 6 6 6 5 4 3 2 1 2 3 4 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 6 7 7 7 7 7 8 10 20 33 28 10 -2 -7 2 13 12 11 10 8 6 5 3 2 2 2 3 4 4 5 6 6 6 6 6 6 5 4 3 1 1 3 4 4 1 2 9 8 3 6 8 6 3 3 3 2 3 6 7 3 2 3 7 6 4 9 14 14 12 9 6 8 6 5 2 3 10 9 5 1 2 3 4 7 7 3 4 7 5 1 -1 5 11 12 13 12 8 3 1 2 4 6 6 7 16 27 21 6 4 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 7 10 13 14 13 12 12 14 18 18 13 11 13 13 12 12 13 13 13 16 17 15 12 9 4 5 8 8 8 8 9 7 6 5 5 5 6 8 10 11 10 8 6 5 6 6 6 5 4 4 5 6 6 5 3 3 5 7 7 5 3 3 3 3 3 3 2 2 2 1 1 1 1 2 2 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 7 9 13 17 17 12 7 5 5 4 4 5 8 12 14 13 10 7 6 6 6 5 4 3 1 -1 -1 -2 0 2 3 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 7 8 7 5 4 3 3 4 4 3 3 3 3 3 3 4 4 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 8 8 9 13 23 28 14 -1 3 2 -0 10 11 9 8 7 6 4 2 2 2 3 4 4 4 5 6 6 6 5 5 4 2 1 1 2 3 6 6 6 3 5 12 6 3 5 5 9 8 6 1 -3 -0 8 11 5 1 4 10 10 9 13 15 13 9 5 5 7 12 14 6 3 7 8 6 4 6 4 0 4 3 2 6 8 9 3 -1 4 9 12 14 11 10 5 1 0 1 4 6 5 18 30 19 5 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 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 4 4 4 4 4 5 5 5 4 5 4 4 4 5 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 7 8 8 7 7 8 11 13 14 13 14 13 10 9 7 7 9 9 9 8 7 7 4 3 4 6 7 9 10 8 7 5 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 4 5 6 6 6 5 4 5 6 6 5 3 3 3 3 2 2 2 2 1 1 2 2 1 1 2 2 3 3 4 4 4 5 5 5 6 7 6 6 6 7 9 10 12 15 17 14 8 5 4 4 4 5 7 10 12 12 8 6 6 6 6 7 5 4 3 1 -1 -1 1 2 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 5 6 7 7 6 4 3 4 4 4 4 4 4 4 4 4 3 4 4 5 6 6 6 5 4 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 6 6 7 7 7 8 8 9 12 17 25 25 8 -3 9 9 4 8 9 9 8 7 5 3 2 2 2 3 4 5 5 6 6 6 5 4 3 2 -1 -1 0 2 5 9 4 3 8 11 16 7 6 1 -2 9 11 7 2 -4 -3 1 4 4 3 6 12 13 12 12 11 8 4 1 1 6 13 14 6 0 3 4 2 2 5 6 4 5 3 6 8 7 12 8 6 7 7 13 17 11 9 5 1 -2 0 7 10 6 18 30 17 5 4 3 3 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 5 5 4 4 4 5 6 5 5 5 6 6 7 9 9 8 5 5 4 3 2 3 3 2 2 3 2 2 2 4 6 9 10 10 8 6 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 6 6 5 5 5 6 6 5 3 3 3 2 2 2 1 1 1 2 2 1 2 2 1 2 2 3 3 4 4 5 4 5 6 7 6 5 7 10 11 12 12 14 16 14 9 5 4 4 4 5 6 9 10 10 8 6 5 5 6 6 6 5 3 2 0 0 1 1 2 3 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 4 4 5 5 6 5 4 4 4 4 5 6 6 6 5 5 5 5 4 3 2 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 3 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 7 7 7 7 8 10 13 18 22 23 17 3 2 11 11 8 6 8 8 7 6 4 3 2 2 2 2 3 5 6 7 7 6 5 3 2 -1 -2 -1 1 3 4 6 4 4 6 8 10 6 7 2 -1 5 8 11 8 2 1 2 1 2 2 6 12 12 11 11 10 5 0 -2 -0 4 10 9 1 2 7 5 -0 -4 -3 6 10 7 7 10 8 5 9 11 10 10 9 12 20 18 11 5 -2 -6 2 13 14 8 17 30 18 6 4 4 4 4 4 4 4 4 3 4 4 3 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 3 4 5 5 5 5 4 5 6 5 5 5 5 5 4 4 5 5 4 4 3 2 2 2 2 3 3 2 1 1 2 3 5 7 9 10 8 7 5 5 5 5 5 5 5 6 6 8 8 7 6 5 5 6 6 5 6 6 5 5 5 5 6 5 4 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 6 8 11 14 15 15 15 16 15 9 5 3 4 4 5 6 8 9 9 9 7 6 5 6 5 5 4 2 2 1 1 0 0 1 3 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 4 4 4 5 6 5 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 5 5 5 5 4 6 7 7 6 5 4 3 2 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 5 4 4 4 4 5 5 6 7 8 7 8 9 14 20 24 22 17 8 0 6 12 10 8 6 7 7 7 6 4 3 2 2 2 2 4 5 6 7 8 7 5 3 -0 -2 -1 1 3 4 3 0 0 5 4 3 4 6 4 3 3 2 5 8 6 7 7 7 2 0 1 6 12 11 8 9 9 4 -1 -1 1 3 6 4 -1 6 10 6 1 -8 -5 11 11 4 7 9 4 4 4 7 11 14 14 12 22 27 14 2 -6 -7 5 15 13 8 17 30 21 6 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 3 4 4 4 3 3 4 4 4 4 3 3 4 4 4 3 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 3 3 3 2 3 3 3 3 2 2 2 2 4 6 8 8 8 7 5 5 4 4 5 5 5 5 5 6 6 5 4 4 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 4 4 4 4 3 4 3 3 2 3 3 3 3 4 3 3 4 5 5 5 5 5 6 7 7 8 12 17 19 19 18 17 15 10 5 3 4 5 6 7 8 9 10 10 8 6 6 5 5 4 3 2 2 1 1 0 -0 0 1 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 4 3 3 3 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 5 7 9 9 8 6 4 3 3 3 3 3 1 0 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 5 6 7 7 7 8 9 15 24 31 26 16 10 1 0 10 14 8 5 5 7 8 6 5 4 3 3 2 2 3 4 5 6 8 8 8 5 1 -2 -2 2 3 2 3 7 6 2 1 -1 0 6 6 1 1 6 4 1 -1 1 7 6 5 0 2 3 8 13 11 8 6 4 2 2 4 5 3 2 2 5 7 4 2 3 -4 -3 15 16 2 4 4 -2 4 4 4 7 9 11 14 27 32 16 0 -8 -5 7 12 7 7 18 32 23 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 5 4 4 4 3 2 3 4 4 4 4 3 2 2 3 3 3 3 2 2 3 3 5 6 7 8 7 6 5 4 4 4 5 5 4 5 5 5 4 2 3 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 4 4 3 3 3 3 3 3 4 3 4 4 5 5 5 5 6 7 7 9 12 16 20 22 22 20 16 9 5 3 5 6 6 7 8 9 10 10 9 8 6 6 5 5 4 3 3 2 1 0 0 -0 1 3 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 7 7 6 4 4 3 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 6 8 9 9 8 6 5 3 3 2 2 1 -0 0 1 0 1 1 2 2 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 7 7 7 8 9 14 25 37 34 19 5 3 2 13 17 12 5 2 5 8 9 6 5 4 4 3 2 3 4 4 5 6 8 8 7 3 -1 -3 -1 4 4 1 2 5 10 10 6 3 2 3 2 0 4 10 7 3 -2 1 10 9 5 4 4 6 12 15 12 10 8 2 -2 3 8 9 4 0 2 6 4 4 5 6 1 -1 15 18 3 1 2 -2 4 5 3 3 5 9 17 32 32 15 1 -5 -1 8 9 4 4 15 33 26 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 4 3 3 4 4 3 3 2 1 2 2 3 4 3 3 2 1 2 3 3 2 2 2 3 3 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 3 3 4 6 7 7 6 6 6 5 5 5 5 4 4 4 6 7 6 6 5 5 5 5 4 3 2 2 3 4 3 3 3 3 3 4 5 5 6 6 7 8 8 10 14 20 25 27 24 18 12 7 6 6 6 7 7 8 9 9 10 10 9 8 9 8 7 6 5 4 3 2 1 1 1 1 2 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 7 7 6 5 4 4 5 5 4 3 4 5 5 5 5 5 5 4 3 3 3 3 4 6 6 6 6 7 7 7 6 5 4 5 6 7 7 8 7 5 4 2 2 1 1 1 1 1 0 -0 1 1 2 3 3 4 4 4 5 5 6 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 9 12 21 33 38 28 12 -3 -5 6 14 10 2 0 2 5 9 10 7 4 3 4 4 3 3 4 4 5 6 8 7 4 -0 -2 -1 1 4 5 4 4 4 5 7 9 11 8 4 2 3 8 11 11 10 3 4 8 9 5 3 3 10 15 14 11 8 7 -1 -2 4 8 6 1 -0 4 8 7 6 8 7 1 -1 12 12 1 -1 -0 -1 5 3 -0 4 7 7 21 35 29 12 -1 -3 4 11 10 5 4 13 30 25 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 3 3 3 3 4 4 2 1 0 0 1 2 3 3 3 2 1 2 3 3 2 1 1 2 4 5 5 6 6 6 6 6 5 5 4 4 4 4 3 4 5 7 9 7 5 5 6 6 6 6 6 6 5 5 4 5 4 4 5 6 5 6 6 5 5 5 4 2 1 2 3 3 3 2 2 2 4 4 5 5 5 6 7 8 7 8 11 17 25 30 30 24 17 12 8 7 7 7 6 6 7 7 8 9 9 9 10 11 10 9 8 6 4 3 2 2 1 1 2 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 6 6 7 7 8 7 6 5 5 6 5 4 3 4 5 5 5 5 5 4 4 3 3 3 3 4 6 7 7 8 9 9 8 6 4 4 4 4 5 6 6 5 4 3 3 4 4 3 3 3 1 0 1 2 2 3 3 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 5 5 6 7 7 8 9 13 17 23 26 26 19 11 -3 -11 -6 -16 -17 -13 -6 2 6 9 11 9 5 3 4 4 3 4 4 5 6 7 7 4 -0 -1 1 1 2 3 6 7 6 8 8 4 3 4 8 8 7 8 9 12 18 17 8 5 4 2 1 4 5 10 12 9 6 4 2 -1 5 11 6 1 -2 -1 6 13 15 12 12 8 -1 -2 7 9 2 -2 -4 -2 10 7 1 4 4 4 22 36 26 8 -1 -1 7 13 11 6 5 15 27 21 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 6 5 4 4 4 4 4 4 3 1 1 1 1 1 3 4 4 2 1 1 2 3 2 0 -0 2 4 5 5 6 6 6 6 6 6 5 5 4 4 3 3 4 7 11 12 9 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 7 4 3 5 6 6 5 5 4 1 2 3 3 2 2 3 3 4 5 5 4 5 6 7 7 8 7 9 13 20 28 32 30 23 15 9 7 6 5 4 3 3 4 4 5 6 7 8 9 11 11 11 9 7 5 3 2 3 2 3 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 6 7 7 6 7 9 9 8 6 5 6 6 6 4 3 3 4 4 5 5 5 5 5 5 4 3 3 5 6 7 8 9 9 9 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 6 6 8 8 9 11 13 15 16 16 13 11 10 7 -2 -13 -19 -29 -25 -16 -11 -0 6 9 12 10 6 4 4 4 4 4 4 6 6 7 5 0 -1 3 6 3 5 3 5 6 4 8 8 1 -1 1 4 4 6 7 8 14 22 20 11 7 6 4 0 2 5 7 9 5 3 1 -2 2 16 19 7 0 -2 -0 6 11 11 11 14 12 5 0 3 12 13 8 -1 -1 8 12 4 2 5 13 26 30 19 5 -1 2 8 12 10 6 6 16 27 18 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 3 4 4 5 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 5 4 3 2 2 2 3 3 3 5 5 4 2 0 1 3 3 1 0 2 4 5 5 5 6 6 7 7 7 6 5 4 4 3 3 5 9 13 12 8 6 5 5 5 6 6 7 6 6 5 5 5 6 6 6 8 7 2 4 6 6 5 6 6 4 3 3 3 2 3 4 4 4 5 5 5 5 6 7 8 8 7 8 10 13 20 26 27 21 13 8 5 4 3 2 1 0 1 2 3 4 5 5 6 8 9 10 10 10 8 5 4 4 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 7 6 6 8 9 8 6 5 5 6 7 6 5 3 2 3 3 4 5 6 6 5 4 4 4 4 5 6 6 7 8 9 10 11 10 9 7 5 3 3 3 4 4 5 5 4 4 5 6 7 6 6 6 5 3 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 4 4 5 5 5 4 5 4 5 5 5 6 5 5 6 7 7 7 7 6 8 10 10 12 13 12 12 12 10 5 2 4 4 -1 -10 -13 -13 -9 -5 -6 1 8 9 12 11 7 5 4 4 4 4 4 5 6 5 3 -0 1 4 3 2 6 4 3 3 3 7 5 -0 -1 2 5 4 4 2 5 12 17 16 13 11 9 7 4 3 3 7 11 5 2 2 -1 6 19 19 8 3 -1 -1 7 11 5 -1 3 13 15 7 3 11 17 14 6 4 2 12 11 11 12 18 24 21 9 1 -1 2 8 11 7 4 7 19 28 18 6 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 2 3 4 5 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 6 7 6 3 1 0 2 4 2 1 2 4 6 5 6 6 6 7 7 7 6 5 5 4 4 4 6 9 9 9 7 5 4 5 5 5 6 6 6 6 6 5 5 5 5 6 7 8 5 4 5 5 5 6 6 5 4 3 3 3 3 4 4 4 5 5 5 5 5 6 7 8 7 7 7 7 10 14 15 12 8 6 3 3 4 3 2 1 0 1 3 3 4 4 4 3 4 5 7 9 9 8 7 5 4 3 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 3 4 6 7 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 7 6 6 6 8 9 7 4 4 5 7 8 6 4 2 2 3 4 5 6 6 5 5 4 4 3 4 4 4 5 6 8 9 11 12 12 11 9 7 5 4 4 4 4 3 3 3 5 7 8 8 7 7 5 3 2 1 1 1 0 1 2 3 3 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 8 7 7 10 13 14 14 10 6 8 10 10 5 9 18 16 9 2 0 0 1 3 5 8 12 13 13 13 9 5 4 4 3 4 4 3 4 4 2 2 3 3 2 5 6 4 2 4 5 6 6 6 7 7 6 3 0 -2 2 8 8 8 11 10 9 9 9 7 4 7 10 4 2 7 6 11 15 12 7 4 1 2 7 5 -1 -4 1 10 14 10 7 7 6 6 10 10 -2 5 17 21 19 17 15 8 -0 -1 -1 2 8 10 7 4 8 21 26 15 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 3 2 2 3 4 5 4 3 4 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 4 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 4 4 3 4 4 4 5 6 6 6 6 7 9 8 5 2 0 1 3 3 2 3 6 7 6 6 7 6 5 6 7 6 5 5 6 8 8 8 7 6 5 6 5 4 4 5 5 5 7 7 6 6 6 5 6 6 5 6 7 7 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 8 8 5 4 3 4 4 3 3 3 3 3 5 5 4 2 1 1 2 4 4 5 4 2 1 1 3 5 8 9 7 5 4 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 6 6 7 7 7 6 6 7 9 7 4 3 4 6 8 7 4 3 3 4 4 5 6 6 5 5 5 4 4 4 3 4 4 4 5 6 8 9 11 12 13 13 10 8 6 4 3 2 2 3 5 7 8 7 7 6 4 2 1 -0 -1 -2 -2 -1 1 1 1 1 1 2 2 2 3 3 4 4 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 7 8 7 8 8 9 14 18 17 11 5 3 6 10 11 11 23 37 30 20 14 11 8 7 9 12 17 19 17 14 12 9 7 4 4 4 3 2 2 3 4 3 3 4 4 6 10 9 5 5 7 5 2 6 10 14 11 6 2 -4 -5 1 5 4 4 6 4 6 12 13 7 2 4 6 5 5 9 12 15 16 13 6 2 1 4 6 4 -2 -2 4 4 6 13 9 3 3 4 9 14 -1 -6 10 24 23 13 3 -5 -5 -2 -1 4 10 10 8 5 7 17 25 16 5 5 5 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 2 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 5 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 6 5 5 4 4 4 4 4 4 3 3 3 4 5 6 6 6 6 7 8 11 12 10 6 1 -1 0 1 2 4 7 7 7 7 8 6 5 5 5 5 5 5 8 11 11 8 6 5 6 6 5 5 4 4 5 5 6 6 6 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 6 7 6 4 6 8 8 6 3 1 -1 -2 -1 1 2 3 4 5 6 5 3 1 1 2 2 4 5 4 3 2 2 2 4 7 8 7 5 3 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 6 6 7 7 6 7 8 8 6 3 2 4 7 7 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 7 9 12 14 14 13 10 6 3 1 1 3 5 6 6 5 4 4 3 1 -0 -1 -1 -1 -1 -1 -1 0 1 0 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 9 11 15 20 21 15 7 3 3 7 11 10 12 21 32 26 20 18 14 11 9 11 15 21 23 18 13 11 10 8 6 5 4 2 1 2 4 5 4 4 4 2 3 8 11 10 10 9 5 4 8 12 10 7 9 12 -2 -5 4 5 3 7 6 1 5 13 13 7 2 2 6 11 13 10 9 10 15 16 6 -0 -3 3 9 8 2 6 11 3 7 18 8 1 9 10 9 12 5 -5 5 25 20 6 -8 -11 -1 4 4 8 11 9 7 6 6 13 26 22 7 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 5 6 6 4 4 3 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 4 4 3 3 3 3 3 4 5 5 4 3 4 4 4 4 3 3 3 3 3 4 5 5 5 6 6 8 12 16 16 10 2 -1 -2 -1 -1 4 7 7 7 8 8 7 6 6 5 5 5 5 8 11 11 9 7 8 9 7 6 6 5 4 3 3 4 4 4 5 5 5 5 6 6 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 5 6 6 6 5 5 6 7 8 6 3 0 -1 -1 0 1 3 4 5 4 3 3 1 1 1 2 2 2 3 3 2 2 2 4 7 8 6 4 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 5 4 3 2 2 2 2 3 3 3 2 3 2 2 3 3 4 5 6 7 6 6 7 8 7 4 3 3 5 7 7 5 4 4 4 4 4 5 5 4 5 5 5 5 4 5 5 5 4 3 3 4 5 6 8 11 13 13 13 11 6 3 2 3 4 4 3 3 2 3 2 1 -0 -0 1 3 2 1 1 1 1 0 1 1 1 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 7 7 8 8 8 12 18 22 22 17 10 5 4 4 7 11 6 6 7 7 9 11 10 9 7 7 8 14 20 21 15 11 10 10 9 8 7 5 2 3 5 5 6 4 3 5 6 3 2 8 13 15 11 7 5 4 2 1 10 18 17 1 1 6 5 6 13 10 4 9 12 9 6 4 3 7 16 17 11 8 5 8 11 2 0 1 6 11 5 5 12 12 6 11 14 6 5 11 10 9 10 16 8 17 28 16 -7 -19 -8 15 21 18 17 13 8 5 5 5 12 25 24 9 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 4 4 3 4 4 4 3 3 3 3 3 4 6 7 6 5 4 3 4 5 5 6 7 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 1 1 2 3 3 3 3 3 4 4 5 6 5 5 4 4 4 3 3 4 5 5 4 4 4 4 4 3 3 2 3 3 3 4 5 5 5 5 6 8 12 16 17 13 6 1 -2 -4 -3 2 6 6 6 7 8 8 8 8 7 7 6 7 8 12 13 9 8 11 10 7 7 7 6 4 3 3 2 3 3 4 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 5 4 5 7 8 7 5 2 1 1 2 3 3 4 3 2 2 1 2 2 2 1 1 1 1 1 1 1 3 7 8 7 3 2 3 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 7 6 5 5 4 5 5 5 4 4 3 2 2 2 2 2 3 5 6 6 6 6 8 9 7 4 3 4 8 10 9 7 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 4 4 5 5 6 8 10 12 14 15 12 8 5 4 4 3 1 1 1 1 1 1 2 3 4 5 5 4 3 2 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 4 4 6 7 8 9 9 8 12 19 22 16 11 7 6 4 4 6 8 5 1 -2 -8 -1 3 3 4 4 5 6 10 14 14 11 9 9 9 9 9 8 6 3 3 6 6 5 3 4 6 9 8 5 5 10 10 5 4 2 -3 -5 -3 6 15 7 0 7 8 5 10 20 12 4 7 6 5 9 8 6 10 14 13 12 11 9 7 4 -5 3 8 7 9 2 5 5 1 5 10 6 3 9 13 9 2 8 20 18 28 28 9 -16 -19 5 28 32 30 25 16 10 7 5 5 12 24 25 11 4 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 6 7 6 5 4 3 4 4 6 7 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 2 2 3 4 4 4 4 4 5 5 5 5 5 4 5 5 4 3 4 4 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 6 7 7 9 11 12 11 9 5 1 -3 -4 -0 3 4 6 6 7 7 8 8 8 9 9 9 9 12 15 9 7 10 11 10 8 8 7 6 4 2 1 2 3 3 4 4 4 5 5 5 5 5 6 6 7 7 7 7 8 8 7 7 7 6 6 6 6 5 5 4 4 5 6 7 5 4 3 5 7 9 9 7 4 3 4 4 4 3 2 2 2 2 2 2 2 2 1 1 1 1 1 0 2 5 8 8 5 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 9 9 9 9 9 9 9 8 6 4 2 1 1 1 3 4 5 6 5 5 7 9 9 7 6 8 11 12 12 10 7 5 4 3 3 3 4 5 5 4 4 4 4 5 5 6 6 5 4 4 5 6 7 8 10 12 15 16 14 10 7 4 2 1 1 1 1 1 2 4 5 6 6 6 6 5 4 3 2 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 5 6 7 8 9 8 8 9 17 21 14 10 8 6 4 4 6 6 4 2 -2 -4 1 4 6 8 10 11 9 8 8 8 8 8 8 9 9 9 7 5 4 4 6 7 4 3 5 7 8 11 11 8 8 4 3 3 2 1 5 3 2 3 -5 0 15 11 3 11 24 13 4 5 3 7 13 12 9 8 5 6 9 6 7 10 3 -3 6 10 8 8 1 -3 -6 -2 7 6 -0 2 9 12 8 1 8 15 20 32 25 4 -14 -6 14 23 26 26 21 14 10 8 5 4 10 22 26 14 4 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 4 4 5 6 6 4 3 3 4 4 5 7 8 8 7 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 9 10 6 2 -2 -3 1 4 5 6 5 6 6 6 6 8 8 8 7 10 15 9 1 4 8 10 9 8 8 8 6 3 2 3 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 7 7 6 5 4 4 5 6 6 6 5 3 3 4 7 9 10 10 7 5 5 4 3 2 1 2 2 2 2 2 1 2 2 2 2 2 1 1 3 6 7 6 5 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 7 8 9 10 9 9 10 12 13 13 10 6 2 1 1 2 3 4 6 5 5 5 7 9 10 10 13 12 10 9 9 9 7 4 3 2 3 4 5 5 4 4 3 4 5 5 6 6 5 4 4 5 6 7 7 8 9 11 15 16 14 11 6 3 2 2 2 1 2 3 4 5 6 6 6 6 6 5 4 3 3 2 2 2 2 3 4 4 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 8 8 8 8 7 7 15 22 19 13 9 5 5 6 7 4 4 5 3 4 8 10 13 16 20 21 15 9 7 7 7 8 8 7 7 6 5 4 4 4 4 7 5 6 10 11 8 8 7 7 6 5 6 3 2 7 14 15 11 0 -7 -2 4 3 1 7 10 5 9 11 8 11 13 8 5 2 0 5 8 4 4 10 5 4 6 9 8 7 3 -1 -1 3 3 -5 -6 1 8 8 2 1 5 6 19 32 24 4 -6 3 13 14 14 15 13 10 8 7 5 4 11 24 29 15 4 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 4 4 5 6 5 3 2 2 3 4 5 7 9 9 7 6 5 3 3 3 4 5 5 4 4 4 4 3 4 4 4 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 6 6 6 6 6 6 8 8 4 6 10 9 7 2 -1 0 4 5 5 5 5 5 6 5 5 5 5 4 6 9 5 -1 1 5 6 6 6 8 10 10 7 5 4 4 5 4 3 4 3 3 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 4 4 4 5 5 6 5 4 2 3 4 7 12 14 13 10 8 5 3 3 2 2 2 3 3 2 2 2 3 2 2 2 1 1 1 3 5 7 7 5 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 6 7 8 8 8 9 11 14 17 17 12 6 3 2 2 2 4 5 6 4 4 5 7 10 12 13 10 5 4 6 8 7 5 4 3 4 4 5 5 5 5 3 3 3 4 5 5 5 5 4 4 5 6 7 7 7 8 11 15 16 14 9 5 4 3 3 2 2 3 4 5 6 6 6 6 6 6 5 4 4 3 3 2 3 3 4 4 3 2 2 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 7 8 8 7 7 6 8 12 23 26 16 8 4 5 6 2 1 6 7 6 9 11 13 15 19 25 26 20 12 9 8 7 6 6 6 5 4 3 3 4 3 3 6 6 8 12 13 11 4 3 6 5 5 4 1 3 10 10 7 6 8 10 4 -6 -6 2 5 -3 0 9 9 7 12 15 11 3 -0 1 9 15 12 5 7 5 5 9 11 9 7 2 -1 9 18 9 -6 -6 2 4 -1 -3 1 4 3 17 29 23 7 1 8 13 12 11 9 8 6 5 5 3 4 13 24 20 7 5 7 6 6 5 5 5 5 5 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 5 5 5 6 5 5 4 5 6 5 4 2 2 2 3 4 5 7 9 9 8 7 6 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 5 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 4 5 5 5 6 6 6 6 6 6 6 6 6 5 8 10 7 6 7 8 8 3 0 0 3 4 4 4 4 5 5 5 5 5 4 4 4 5 4 1 2 3 3 3 3 4 7 10 12 12 11 8 6 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 7 7 6 6 6 7 7 7 6 5 4 4 5 5 5 5 5 4 3 3 5 8 12 15 17 15 11 6 4 3 3 2 2 3 3 2 2 2 2 2 2 1 1 1 3 5 7 8 6 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 4 4 5 6 6 5 6 7 10 14 17 17 13 8 5 3 2 3 4 5 5 4 4 4 6 9 9 6 3 2 3 4 5 4 4 4 5 5 5 5 6 5 4 3 3 3 3 3 4 4 4 3 4 6 6 6 6 7 8 11 14 14 11 8 5 4 3 3 3 3 3 4 5 5 6 6 6 6 5 5 4 4 3 3 3 3 4 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 6 5 6 9 15 27 27 15 7 5 7 4 -4 -3 3 6 7 9 10 11 12 15 21 27 26 19 14 11 7 4 3 4 4 4 3 3 4 4 4 4 6 8 8 9 10 6 3 8 6 3 2 1 4 6 4 4 5 13 23 19 6 -0 3 7 2 4 4 2 4 14 18 15 6 2 5 12 20 17 7 1 -1 0 8 11 8 4 -4 -4 18 34 16 -1 -2 0 -5 -6 1 6 4 6 17 24 20 10 7 12 14 12 10 8 6 6 6 4 2 4 11 15 9 4 10 13 9 6 6 5 5 5 5 4 4 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 4 2 2 2 4 4 4 5 7 9 10 10 10 8 6 4 4 4 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 7 9 8 6 7 8 6 4 2 0 1 3 3 3 3 4 5 5 6 6 6 6 5 5 5 4 4 4 4 3 2 3 4 6 9 14 19 18 12 6 3 2 2 3 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 5 6 6 7 7 6 5 4 5 5 5 5 5 5 4 4 5 5 7 11 16 19 21 16 10 7 5 6 4 2 1 2 2 2 2 3 3 2 2 2 3 5 6 7 8 7 5 4 3 2 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 4 4 4 4 4 5 8 11 14 16 14 10 7 4 3 3 4 5 5 3 3 3 4 4 3 3 3 2 2 2 3 4 5 5 5 4 5 6 6 6 5 4 3 2 2 2 3 3 2 3 5 5 5 6 7 7 8 10 12 11 9 7 5 4 4 5 4 3 3 3 4 5 5 5 5 5 5 4 4 3 3 3 3 4 3 2 2 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 5 6 6 7 8 8 7 5 5 7 11 19 28 24 13 7 7 8 3 -1 1 1 4 6 7 7 6 7 9 16 24 28 25 19 13 7 5 3 5 5 4 3 3 5 6 5 6 9 9 5 4 8 7 4 8 5 3 3 4 6 4 10 12 2 4 17 17 12 5 1 4 6 4 5 4 2 9 13 9 5 5 9 11 15 15 8 2 1 1 4 4 6 7 1 -1 15 28 11 1 2 -1 -6 -4 5 8 6 10 15 15 12 12 13 14 13 11 9 7 5 6 6 3 1 3 7 8 7 7 15 23 16 6 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 3 2 2 3 4 4 4 5 6 8 10 12 14 13 10 6 5 5 6 6 6 5 5 4 3 4 3 3 3 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 8 7 6 7 8 7 7 8 8 7 5 4 2 3 3 2 3 3 4 4 4 5 6 6 6 7 6 6 6 5 5 4 4 4 3 3 4 5 9 18 24 21 11 4 1 2 2 2 2 3 4 4 4 3 4 5 4 5 5 6 6 6 6 5 5 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 10 16 21 23 18 13 11 11 11 9 6 5 4 3 3 4 4 4 3 4 4 5 5 6 8 8 7 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 4 4 4 4 3 3 3 3 5 8 12 14 14 12 9 6 4 4 4 4 3 3 2 2 3 3 3 3 3 2 3 3 5 5 4 4 4 4 5 6 7 6 6 5 4 2 1 1 2 1 2 4 4 4 5 7 7 7 8 9 9 9 8 6 4 5 6 6 4 3 2 3 4 3 4 4 4 5 4 4 4 3 3 3 4 4 3 2 3 4 4 4 3 3 4 4 4 5 5 5 4 4 4 4 5 5 6 7 8 8 8 5 4 5 9 14 22 27 21 11 7 8 9 7 13 14 3 3 3 4 3 3 3 5 9 18 24 23 17 11 8 10 8 6 5 4 3 3 6 6 5 8 12 11 7 7 9 9 7 7 6 4 2 5 7 6 15 7 -5 3 12 8 5 2 1 3 4 6 8 5 -1 0 3 0 6 11 9 7 7 10 9 6 5 7 10 7 9 12 4 -2 1 11 6 3 7 3 3 6 7 8 11 13 11 7 6 11 16 16 12 10 7 5 4 6 6 3 0 2 5 7 7 9 16 27 20 7 5 6 5 4 5 5 5 5 5 5 4 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 6 7 6 6 6 5 4 2 2 2 3 5 4 4 4 5 6 8 11 14 15 13 10 8 7 7 7 7 6 4 3 3 3 4 4 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 7 7 9 11 11 10 7 6 7 8 8 9 10 10 8 6 6 6 5 4 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 5 11 19 21 14 6 2 2 2 1 2 4 4 4 3 3 3 4 4 4 5 5 5 5 6 6 5 5 6 7 6 5 5 6 6 5 5 5 4 5 5 6 6 5 6 10 16 20 17 16 16 16 16 17 15 13 11 8 6 6 5 4 4 4 4 5 4 4 7 9 9 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 1 1 2 3 3 3 3 3 3 3 3 3 3 4 7 10 12 14 14 12 10 8 6 4 5 4 4 3 3 3 3 2 3 4 4 5 4 4 4 3 3 3 4 5 5 6 6 7 7 4 2 0 0 1 1 2 2 3 4 6 6 6 6 7 7 7 7 6 5 5 6 6 4 2 3 3 3 2 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 5 6 7 7 8 8 7 4 4 7 11 18 26 26 16 6 4 8 12 12 17 10 2 2 1 1 2 3 2 2 6 11 14 15 12 8 7 9 10 7 5 4 3 3 4 5 6 9 10 8 8 10 8 9 6 5 5 4 3 6 6 9 18 4 -1 10 7 -1 -0 2 4 5 4 7 7 3 2 1 -2 -3 6 11 8 4 4 7 9 8 8 12 15 11 7 8 6 -5 -10 1 3 3 10 7 5 7 8 9 11 11 5 0 3 11 17 17 12 9 7 5 4 6 5 2 0 3 6 7 7 9 16 26 22 9 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 2 2 2 3 4 5 4 4 4 4 5 8 11 13 13 11 9 8 7 6 6 6 4 4 3 3 4 5 5 5 6 6 5 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 8 9 11 13 13 13 11 9 8 8 8 8 10 10 10 8 8 6 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 4 4 4 4 5 9 12 12 8 6 4 2 1 2 4 5 4 3 2 2 2 4 4 4 5 5 5 6 6 5 5 6 6 5 5 5 6 6 6 5 5 5 5 5 6 6 6 6 7 9 12 12 13 15 16 16 16 16 18 19 16 12 8 6 5 5 5 5 4 4 3 5 8 10 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 3 3 3 3 3 3 2 3 3 3 3 3 4 5 6 8 11 13 16 17 15 12 8 7 7 6 5 4 3 4 4 4 5 5 5 4 4 4 5 5 5 3 3 3 4 5 6 7 6 3 1 0 1 1 2 2 3 3 5 6 6 5 5 6 6 6 7 6 7 7 6 3 2 3 3 3 3 2 3 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 4 5 4 4 5 4 4 5 6 7 8 8 9 8 5 2 5 9 15 22 29 24 11 2 2 7 11 5 3 -2 -2 -0 -0 1 2 5 5 5 8 9 9 9 8 5 4 5 6 6 5 4 5 5 4 5 9 10 5 3 6 9 6 5 5 4 3 2 3 3 6 11 12 0 4 12 6 0 2 3 6 7 5 6 6 2 3 4 3 5 8 8 6 3 2 3 5 6 9 12 11 6 2 3 9 1 -12 -4 3 5 9 8 5 8 10 10 8 4 -1 -2 5 12 16 16 12 10 7 5 5 6 4 1 1 4 6 6 7 8 15 26 25 11 5 5 5 5 6 6 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 5 4 3 3 3 3 2 3 3 4 4 4 4 3 3 4 6 8 8 9 8 7 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 7 7 6 6 7 9 12 14 16 18 16 13 12 11 9 8 7 7 9 9 8 8 6 3 5 5 5 5 4 4 5 5 6 6 6 6 6 6 5 5 4 5 6 7 8 10 8 4 3 3 3 3 5 6 8 8 8 7 5 4 3 5 6 5 3 1 1 1 2 3 3 4 4 5 5 5 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 4 3 6 8 10 12 13 11 12 18 22 22 17 11 8 6 6 6 5 5 4 3 3 7 9 9 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 10 10 10 9 7 5 4 4 3 3 3 3 4 3 4 5 6 7 9 14 19 21 19 14 11 11 10 9 8 7 6 6 6 5 5 4 4 4 5 6 7 7 5 2 2 3 4 5 5 6 5 3 2 2 2 2 2 2 3 4 6 6 5 5 5 5 6 6 6 7 8 6 4 3 4 4 4 3 3 4 5 5 3 3 3 4 4 4 3 3 2 2 2 3 3 4 3 3 3 4 4 4 5 5 5 4 4 5 7 8 8 9 9 7 3 2 7 15 22 29 30 19 8 3 1 0 1 -7 -9 -4 -2 -2 -1 1 4 8 10 11 11 10 7 6 5 4 3 2 3 4 3 3 5 7 3 4 11 10 4 4 8 10 7 4 3 2 3 2 2 3 8 10 -2 -4 6 8 9 7 5 4 6 7 6 5 4 2 1 3 6 15 16 9 5 2 0 -2 0 3 5 8 7 3 1 1 11 14 3 3 8 8 7 4 5 11 14 10 5 -1 -1 4 10 11 12 12 11 10 8 6 5 5 3 1 2 5 6 5 5 9 20 30 25 10 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 3 3 3 3 4 3 3 3 3 3 4 4 4 4 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 5 6 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 6 7 6 6 6 7 8 12 15 18 21 20 17 13 11 10 8 6 4 5 7 8 7 7 6 5 5 4 4 4 4 4 5 5 6 7 7 7 8 8 7 5 5 5 5 6 8 9 8 4 4 4 3 2 3 4 6 7 7 8 8 6 5 6 7 7 6 3 2 2 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 6 6 6 5 4 3 3 4 6 7 7 7 11 16 21 24 20 13 9 8 7 7 7 7 6 5 5 7 8 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 15 16 17 17 16 13 10 8 6 4 4 4 4 4 4 5 5 5 6 9 14 18 17 15 13 13 13 13 12 10 9 7 6 4 4 5 5 5 6 8 8 9 8 6 5 5 5 4 3 4 5 4 4 3 4 4 4 2 2 4 6 6 5 4 4 5 5 6 6 7 8 8 7 7 6 6 5 4 3 5 6 6 5 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 6 8 8 9 10 9 5 2 5 15 25 31 32 25 14 8 2 -5 -10 -9 -12 -10 -4 -2 -2 -1 3 5 10 16 19 15 10 7 5 4 4 4 4 4 4 2 3 4 4 0 3 12 10 8 7 13 13 9 7 5 1 2 2 4 8 11 8 -2 5 14 7 9 8 5 4 5 6 6 4 3 1 1 3 11 22 23 14 4 1 1 -4 2 5 5 3 2 0 1 5 12 13 13 11 10 10 4 -1 2 9 10 12 5 0 8 18 15 9 10 9 10 9 9 6 6 6 4 3 4 5 6 5 5 14 28 33 20 7 4 4 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 6 6 6 5 4 3 3 3 4 4 5 5 4 3 3 3 3 4 4 4 3 3 4 4 4 4 5 5 5 6 5 6 6 6 5 6 6 5 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 7 11 15 17 19 20 19 14 11 10 9 7 4 3 5 6 6 7 7 6 6 5 4 4 4 4 5 5 6 6 7 8 8 9 8 8 7 6 5 5 6 7 8 7 6 6 5 4 3 2 3 4 6 7 7 8 7 7 7 8 8 9 10 10 6 4 3 3 2 2 3 5 5 5 6 6 5 5 5 5 5 5 5 4 5 6 6 5 5 5 6 6 5 4 5 4 4 5 4 4 6 10 13 18 22 21 16 11 10 9 8 8 8 9 9 9 9 10 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 11 13 15 17 20 20 18 14 10 7 6 5 5 4 3 5 5 5 4 4 6 8 8 8 9 9 10 11 12 12 11 9 6 4 4 5 6 6 8 9 9 10 11 11 9 8 6 5 4 4 4 5 4 4 4 5 5 3 2 3 5 6 6 5 5 5 5 6 6 6 7 8 8 9 9 8 7 5 5 5 7 7 6 5 6 6 6 5 4 3 3 2 2 2 2 3 4 3 3 3 4 4 4 4 4 4 5 7 8 9 10 11 8 3 3 13 26 34 32 23 15 12 8 -0 -8 -8 -8 -11 -8 -4 -3 -2 1 4 7 10 17 25 20 9 6 5 5 4 5 5 4 4 5 5 4 4 2 3 10 11 8 7 13 11 10 8 5 3 2 2 6 11 10 4 5 14 17 11 9 7 4 3 5 7 6 4 4 4 3 6 16 25 23 15 6 4 4 -1 7 11 10 6 1 -3 -1 6 7 -1 2 10 11 12 6 3 4 7 6 8 3 4 19 26 17 9 8 9 9 9 9 8 7 6 4 4 5 5 5 5 7 20 34 28 11 4 4 5 5 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 4 4 3 3 4 5 5 5 6 5 4 4 3 2 3 3 4 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 9 14 16 16 15 14 12 10 9 10 11 9 5 5 6 6 6 7 7 5 3 2 4 4 4 5 5 5 6 6 7 8 8 8 8 8 8 7 6 6 7 7 8 9 5 4 5 5 3 3 3 4 5 6 7 7 7 8 8 8 8 9 15 19 16 9 5 3 2 2 3 4 5 5 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 5 5 4 4 5 7 10 13 17 19 17 14 12 11 9 8 9 11 15 16 17 14 11 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 5 6 7 10 14 18 20 20 16 10 7 6 5 3 3 4 5 5 4 4 3 3 3 3 4 4 5 6 8 10 10 10 8 6 5 6 8 9 9 9 9 10 11 11 10 8 7 6 6 6 6 6 5 5 5 5 5 3 1 2 3 5 5 6 5 5 5 4 4 5 5 6 8 10 10 10 9 8 8 7 8 8 7 6 6 8 8 7 6 4 3 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 5 7 8 9 12 12 6 2 9 22 33 33 23 10 1 2 5 6 3 3 -3 -7 -6 -4 -2 0 2 5 7 10 16 26 24 12 7 6 6 5 5 4 2 5 8 7 5 4 3 3 5 9 7 7 8 6 6 7 9 7 2 0 5 9 5 3 9 12 7 11 9 5 2 3 6 6 3 2 6 7 5 8 18 23 16 9 6 6 5 3 9 14 16 11 4 -1 0 8 10 3 -0 2 12 14 7 6 6 4 13 7 4 13 23 21 13 9 9 10 10 10 9 9 8 5 2 3 6 8 6 5 10 24 32 21 7 4 4 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 6 5 5 5 4 3 2 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 6 7 10 13 14 13 10 7 5 6 8 11 14 9 5 6 6 6 6 7 8 7 1 -4 -0 3 4 4 4 5 6 7 9 9 6 6 7 7 7 7 7 6 7 7 8 11 6 2 5 5 4 4 3 3 4 5 6 6 7 8 8 9 8 8 12 18 20 16 10 5 2 2 3 4 4 5 5 6 7 6 6 6 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 6 8 11 14 15 15 14 11 9 8 9 12 16 20 20 16 11 9 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 6 10 15 20 18 13 10 8 5 4 3 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 8 9 9 8 7 9 10 10 9 7 6 7 8 8 7 6 6 6 7 7 8 8 8 6 5 4 4 3 0 -0 -0 1 3 4 5 5 5 3 3 3 4 5 6 8 9 10 10 10 10 10 9 9 8 7 7 8 9 9 8 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 6 8 8 10 14 11 4 5 16 23 26 26 20 8 -3 -2 10 17 15 9 -2 -6 -5 -3 -1 1 4 5 7 9 14 23 27 17 8 7 7 7 7 4 3 6 9 8 6 4 1 1 3 8 10 8 5 8 4 2 5 4 0 1 5 8 4 4 4 1 -2 6 5 -1 -1 3 7 4 -1 2 9 9 6 9 16 17 11 7 6 5 0 2 8 13 13 8 4 4 6 10 13 15 12 3 7 11 10 7 4 3 12 9 12 20 19 13 10 10 10 9 10 10 10 9 7 3 0 1 6 9 8 6 12 26 29 16 5 4 5 5 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 5 5 4 4 5 6 6 6 5 4 2 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 6 5 6 6 5 6 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 5 5 4 5 6 6 8 10 12 11 10 8 6 3 4 8 12 14 9 5 6 6 7 6 7 8 9 4 -5 -5 1 3 3 4 5 6 7 10 12 8 6 6 5 6 6 5 6 7 7 7 8 7 5 6 6 6 5 4 3 3 4 5 6 6 7 7 8 8 7 7 11 16 18 15 9 4 2 3 4 4 5 6 6 7 7 6 6 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 4 5 6 6 8 12 16 16 13 11 9 9 9 12 14 15 15 12 10 10 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 3 3 5 9 13 15 15 15 13 8 6 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 10 10 8 6 4 4 4 5 5 5 5 5 5 7 8 8 9 9 8 7 5 4 2 1 -1 -2 -1 0 2 3 4 4 4 3 3 4 5 6 7 8 8 9 9 9 10 9 9 9 9 8 8 8 9 9 7 5 3 2 1 2 3 3 3 3 3 3 3 4 3 3 5 8 9 11 15 17 10 4 10 15 14 15 21 21 14 6 7 14 14 8 2 -5 -7 -4 -2 0 3 4 5 6 8 11 19 26 22 13 10 10 8 6 6 6 9 10 10 8 5 3 2 2 6 10 6 2 4 2 2 0 -0 1 2 6 5 2 2 1 -1 -2 -5 -5 -5 -5 1 7 3 -2 3 12 11 7 9 10 8 8 10 11 9 4 5 3 6 6 2 4 8 11 12 10 10 11 5 2 8 16 7 2 11 5 5 19 18 12 9 8 10 10 9 9 10 9 8 5 2 1 2 6 9 8 6 12 24 26 12 3 4 6 6 6 7 7 7 6 6 6 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 5 5 4 4 4 6 7 7 6 5 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 7 9 10 9 7 7 11 9 6 8 12 11 7 5 6 8 10 9 7 6 8 6 -1 -3 -0 2 2 3 5 6 7 8 10 10 9 7 6 6 5 3 4 6 7 8 6 6 6 7 7 6 6 5 4 4 4 5 6 6 7 7 7 7 6 6 7 9 13 15 13 9 6 4 3 4 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 5 4 3 3 4 5 5 6 10 14 16 15 14 11 9 8 10 11 10 12 14 13 12 12 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 5 6 9 13 16 16 13 11 10 9 7 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 7 8 8 8 6 4 3 3 4 4 4 4 5 5 6 6 7 8 8 9 9 9 7 5 4 2 0 -0 -1 -1 1 2 2 3 4 5 5 5 5 6 6 6 6 6 7 6 7 7 8 9 9 9 8 9 9 9 7 5 4 3 2 3 3 4 4 3 3 3 4 3 3 4 7 11 13 16 21 19 7 1 9 12 9 12 17 16 13 16 15 8 -3 -6 -6 -6 -5 -3 -2 1 3 4 5 6 8 11 16 24 25 18 11 9 6 3 6 10 11 10 12 10 7 6 3 0 4 4 1 4 5 2 3 2 4 4 5 8 2 -0 1 -0 -2 -6 -12 -8 -4 -4 2 7 2 -1 6 15 14 11 11 8 4 6 10 11 9 13 16 7 3 1 2 9 11 12 11 8 5 6 5 3 11 16 4 1 11 6 9 22 17 10 7 8 9 9 9 9 9 8 6 4 3 4 4 6 8 8 6 10 22 25 13 4 6 7 7 6 7 7 6 6 6 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 6 7 7 7 6 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 4 4 4 5 4 4 4 5 6 5 6 6 5 5 4 5 6 6 6 6 8 9 8 4 2 9 13 10 10 10 8 5 5 4 7 12 13 8 5 6 5 1 -0 2 2 2 3 4 5 7 7 8 8 9 9 7 7 6 5 6 6 6 6 6 5 6 7 7 7 7 7 7 5 5 4 5 5 6 7 6 5 6 6 6 6 8 11 14 15 10 6 3 3 4 5 6 6 6 6 5 5 5 6 5 6 5 5 5 4 4 5 6 7 7 6 7 7 7 6 4 3 3 4 4 3 4 7 9 11 12 12 10 7 8 11 12 11 11 11 13 14 13 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 4 5 4 3 4 7 9 11 12 14 14 14 12 9 7 6 5 4 3 3 3 3 3 4 4 3 2 3 5 6 6 7 6 6 5 4 4 4 4 5 5 5 6 6 6 6 7 7 8 9 9 8 7 6 5 4 3 2 1 2 2 3 4 4 5 5 5 5 4 4 3 3 3 3 3 4 4 6 6 7 9 9 10 10 9 6 5 4 3 3 4 4 4 4 3 2 3 4 3 3 7 13 16 17 17 17 12 1 -4 7 12 7 9 11 9 9 14 9 -4 -16 -13 -7 -4 -2 -1 -1 1 4 4 5 7 9 13 17 25 27 18 10 6 2 -0 4 11 9 8 9 8 6 5 5 5 8 5 5 8 7 2 1 4 10 8 6 14 5 -1 -0 1 0 -4 -3 1 3 3 6 7 1 -1 8 17 16 15 13 9 6 6 6 5 7 13 15 16 11 1 -0 9 12 9 6 4 6 7 4 6 16 10 3 9 16 15 16 19 16 10 8 9 9 8 8 9 9 7 5 3 3 4 5 6 7 7 5 8 19 25 14 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 7 6 6 6 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 8 9 8 4 -0 3 10 10 10 9 7 5 4 3 1 5 11 9 5 5 4 1 1 3 3 3 3 4 5 6 8 8 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 5 5 5 6 6 5 4 5 6 7 7 7 8 11 15 14 10 5 3 3 5 6 6 7 6 6 5 5 5 5 5 6 6 5 4 4 5 6 6 7 7 7 8 8 6 4 4 3 4 4 4 2 2 4 6 6 6 6 5 7 10 10 9 7 5 8 11 11 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 4 3 3 4 4 5 8 11 14 15 14 12 10 10 9 7 6 5 5 4 4 4 3 2 2 2 3 5 5 6 6 7 7 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 3 2 2 1 1 0 0 1 1 1 2 3 4 5 6 7 9 9 8 6 4 3 4 4 5 6 6 4 3 2 3 3 3 6 15 23 21 15 8 5 2 -1 0 7 10 5 2 -1 -0 4 -1 -14 -22 -18 -10 -4 -2 -1 -1 1 3 4 4 5 9 14 18 21 25 25 16 8 4 3 2 3 5 2 3 4 6 5 5 7 12 14 10 6 6 3 2 3 7 11 8 8 20 10 -1 1 5 5 5 7 8 7 6 8 7 0 1 10 14 13 9 8 5 3 3 2 2 7 8 7 15 13 1 -2 3 8 4 -1 1 7 9 10 11 10 4 9 19 22 27 25 15 12 10 10 9 8 7 7 8 9 7 4 3 3 5 5 5 6 6 5 10 21 24 14 7 7 8 7 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 8 9 9 7 3 3 7 9 9 8 6 6 5 1 -5 -4 3 6 6 5 3 0 2 3 3 3 3 4 5 6 8 9 8 8 7 7 8 8 8 7 6 6 6 6 6 6 6 6 7 7 8 8 9 8 6 5 5 6 6 4 3 4 5 6 7 7 8 9 12 14 13 10 5 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 6 6 7 7 8 8 7 5 3 3 4 7 8 6 3 1 2 3 2 2 4 6 7 6 4 3 5 7 7 8 13 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 6 6 5 4 4 3 3 3 4 5 8 10 11 11 11 11 11 11 10 8 8 8 8 7 6 6 4 4 4 4 4 5 6 6 7 8 7 6 5 6 5 6 6 7 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 7 6 5 5 4 3 3 1 -0 -1 -1 -1 -1 -1 -1 -1 -0 1 1 2 3 4 5 6 7 6 5 3 3 3 5 7 8 7 5 3 3 2 3 4 12 24 26 16 6 -0 -3 -1 2 4 7 13 11 3 -5 -8 -8 -21 -28 -23 -10 -4 -2 -2 -2 0 3 5 5 5 8 13 20 23 19 19 18 13 8 6 8 10 7 2 -2 -1 3 7 6 4 7 10 12 7 5 7 4 4 5 9 9 6 13 20 12 2 3 6 7 8 10 9 6 6 9 8 2 4 12 10 8 3 4 3 -1 -3 -2 1 5 6 7 10 8 1 -3 3 11 5 -7 -5 4 12 16 15 9 8 16 21 21 24 21 14 10 10 9 7 7 7 7 7 9 7 4 3 4 5 5 5 5 5 6 14 23 21 11 6 7 8 7 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 5 4 4 4 5 6 6 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 8 10 9 7 7 7 7 8 8 8 7 6 6 3 -2 -4 -1 3 7 6 1 0 3 3 4 4 4 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 7 6 5 5 5 4 2 2 4 5 6 7 8 9 10 11 14 12 8 4 2 4 5 5 6 6 7 7 6 5 5 5 5 5 5 5 5 4 5 6 7 7 7 8 7 6 3 2 3 7 11 11 8 5 3 2 1 1 3 5 5 5 5 5 7 8 8 8 10 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 6 5 5 4 4 3 3 4 4 4 4 6 6 7 9 10 11 11 11 11 11 12 12 13 13 14 12 9 5 4 4 5 5 6 7 8 8 8 6 6 6 6 7 7 7 8 8 8 8 7 7 6 5 6 7 7 8 8 9 8 7 7 6 5 4 3 2 1 -1 -1 -1 -1 -0 -0 0 1 1 1 2 3 3 4 5 5 5 5 4 3 4 5 7 9 8 6 4 3 2 2 9 19 21 15 9 2 -1 -1 1 2 0 9 25 26 15 4 -1 -8 -17 -17 -9 -4 -3 -3 -3 -1 2 5 6 5 7 13 20 23 18 12 11 14 15 10 8 11 14 11 6 3 1 5 10 7 3 4 7 10 9 10 10 5 3 4 8 6 5 14 8 9 7 5 5 5 6 5 4 4 7 9 7 4 7 12 7 4 3 7 7 2 -2 -4 -2 2 6 10 8 2 1 2 14 23 11 -9 -10 3 11 13 14 16 17 20 19 17 15 12 10 10 9 7 6 7 7 7 7 8 6 4 2 4 5 5 6 5 3 6 14 21 18 10 6 7 7 6 5 6 6 6 6 6 5 5 5 4 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 4 5 6 7 5 4 3 4 4 5 5 6 6 6 5 5 5 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 9 9 8 7 6 7 9 11 10 9 8 8 8 7 7 7 6 6 6 5 3 1 1 4 6 5 0 2 4 4 4 5 5 5 5 6 7 8 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 5 4 5 4 2 2 3 4 5 6 7 8 8 9 11 12 10 7 5 5 5 5 6 6 6 7 6 6 6 5 4 4 5 5 5 4 5 5 6 7 7 8 8 6 3 1 2 6 10 12 12 10 7 5 2 1 3 4 5 6 7 7 8 8 9 8 7 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 5 5 5 4 3 3 3 3 4 5 5 4 4 4 4 5 6 7 7 8 9 10 11 12 14 18 20 20 15 8 5 5 5 5 6 6 8 9 8 8 6 6 6 6 7 7 8 9 9 8 8 7 7 6 6 6 6 6 7 7 8 8 7 7 7 6 5 4 3 2 1 1 1 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 7 9 8 6 5 3 3 7 18 22 14 7 6 2 1 3 5 1 -2 16 26 26 19 9 6 3 -2 -3 -2 -4 -5 -4 -1 3 6 6 6 6 11 19 23 19 13 9 10 15 16 12 10 11 13 11 11 11 7 7 7 5 3 4 9 10 10 9 4 1 3 7 10 7 5 8 -2 2 9 5 5 6 6 5 3 5 8 9 7 6 7 9 9 2 4 11 11 10 3 -2 -3 -1 4 9 8 1 3 9 15 19 9 -5 -6 4 9 9 12 17 18 18 16 12 9 8 9 9 7 6 6 6 6 7 8 8 6 3 2 3 5 6 6 4 3 5 10 17 20 16 9 6 7 6 6 6 6 6 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 6 7 6 5 3 4 5 4 5 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 7 7 8 11 14 12 10 9 8 7 7 6 6 5 4 4 5 5 4 3 5 5 2 1 3 4 5 5 4 5 5 6 6 7 8 9 9 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 6 4 5 5 4 3 3 3 4 5 5 6 7 9 10 10 10 10 11 12 10 6 5 6 6 6 5 7 8 7 5 4 4 5 5 5 4 4 4 5 6 7 8 8 7 4 1 1 4 8 11 12 13 11 8 4 2 1 2 3 5 7 7 7 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 6 5 4 3 2 2 2 3 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 7 10 13 18 21 18 12 7 6 6 5 5 5 6 7 7 7 6 6 5 6 7 6 7 8 9 8 8 7 7 7 6 6 5 5 5 6 6 7 8 8 8 7 7 6 6 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 8 8 7 5 4 6 15 21 16 8 4 1 -1 4 8 5 -3 -3 18 16 16 16 1 -6 -6 -6 -8 -9 -8 -5 -1 4 7 8 7 7 9 15 22 21 16 14 14 14 12 9 9 10 11 11 8 9 10 7 6 5 4 6 7 9 6 6 5 1 1 7 12 10 7 6 7 -2 -0 7 5 7 9 9 9 9 9 11 11 9 6 3 7 12 6 7 10 16 15 6 2 2 2 4 8 11 7 7 9 7 2 -1 0 2 6 6 8 11 14 15 15 12 9 8 9 9 7 6 6 6 6 6 7 8 8 6 3 2 4 6 6 6 3 3 5 8 13 22 23 13 5 6 7 7 6 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 6 7 6 4 3 4 5 5 5 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 6 7 8 9 10 10 10 9 10 10 9 7 7 9 11 15 14 10 8 7 7 7 7 5 5 5 4 4 4 4 3 3 2 -1 1 4 4 4 4 5 5 5 6 6 6 7 8 9 8 7 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 5 5 5 5 5 5 5 6 7 8 10 10 9 9 13 17 16 12 8 7 6 5 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 6 6 7 7 5 2 1 3 6 8 11 13 13 10 8 4 2 1 1 4 7 7 7 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 7 8 7 6 5 4 4 2 2 2 3 5 5 5 5 4 3 3 3 2 3 3 3 3 4 4 4 6 10 13 14 13 10 8 7 6 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 7 7 6 4 5 5 6 6 7 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 9 13 14 8 3 1 -2 -2 3 11 12 7 -2 -4 -0 3 7 8 -13 -23 -22 -18 -15 -11 -6 1 6 9 8 7 8 11 14 19 21 16 15 17 19 15 6 1 0 6 10 7 5 6 6 4 5 7 8 7 6 5 2 3 5 5 4 9 11 7 8 11 10 6 4 4 6 8 8 6 8 9 10 10 11 11 6 2 6 11 9 9 11 18 13 4 6 9 10 10 10 13 15 12 9 4 -7 -3 6 6 7 7 9 11 11 11 11 9 7 8 11 10 7 6 6 6 6 6 7 8 8 6 3 1 2 5 6 5 4 3 4 6 12 24 28 14 4 5 7 7 7 6 6 6 6 6 5 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 6 6 6 6 5 4 3 3 5 6 6 5 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 7 8 8 9 9 9 10 10 10 9 8 9 11 9 10 13 9 7 6 6 6 6 6 5 5 5 4 4 4 4 5 3 -2 1 4 4 4 4 4 5 6 6 6 7 7 8 8 9 8 7 6 6 6 7 7 6 6 6 6 7 7 7 7 8 8 7 8 7 6 7 8 7 6 6 6 6 6 7 6 6 6 7 8 10 10 10 12 17 20 18 13 9 7 5 4 4 5 5 5 5 5 6 6 5 5 6 5 3 4 4 5 5 5 5 4 2 2 3 5 9 11 12 12 10 8 6 2 -1 0 5 8 8 6 6 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 9 10 9 8 6 5 4 4 3 4 4 5 5 5 4 4 3 3 3 2 3 2 2 2 2 2 3 5 7 9 11 12 11 10 8 6 4 3 3 4 4 4 4 5 6 6 6 6 5 5 5 6 6 7 8 8 8 7 6 5 5 5 6 6 6 7 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 8 7 7 7 6 6 8 10 11 10 9 8 6 7 10 10 4 -4 -7 -9 -7 5 14 17 14 9 3 -3 -13 -2 2 -6 -18 -22 -19 -14 -8 -0 5 9 10 9 8 9 14 20 20 20 18 13 12 15 14 10 5 1 0 5 9 4 5 7 10 7 5 5 4 5 5 4 3 2 3 3 5 9 4 1 10 13 11 12 9 4 6 7 6 4 4 5 7 8 9 9 6 6 7 7 9 15 18 17 6 2 8 11 13 13 12 12 15 12 9 3 -2 5 9 7 10 13 12 10 9 8 7 5 6 10 12 11 9 6 5 6 6 6 7 9 10 8 5 2 2 4 5 5 4 4 5 6 15 27 27 13 3 3 6 7 6 6 6 6 6 6 6 5 4 4 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 5 5 4 3 1 3 7 7 6 5 6 6 6 5 5 6 6 6 5 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 6 7 7 7 8 8 9 9 10 11 10 9 11 14 10 7 8 8 7 6 6 6 5 5 5 5 5 4 5 6 6 6 5 2 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 8 7 6 6 6 6 7 7 6 6 7 6 7 7 7 8 8 8 8 7 7 8 9 8 7 6 6 7 7 8 8 7 6 6 7 10 11 11 11 13 18 22 20 14 9 5 4 4 4 3 4 5 6 6 6 6 7 6 5 4 4 4 4 4 5 5 4 3 2 2 4 6 8 9 10 10 11 10 6 1 -2 0 5 7 6 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 10 10 11 12 12 11 9 7 6 5 5 5 4 5 4 4 3 3 3 3 4 3 3 3 3 2 2 2 3 3 4 5 8 11 12 12 11 8 6 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 5 5 7 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 6 6 7 7 7 7 7 6 6 7 9 11 12 9 8 8 8 7 4 -1 -4 -6 -7 2 12 14 14 10 9 7 1 -4 2 8 3 3 1 2 5 9 12 13 11 9 7 9 14 22 25 20 17 15 13 10 9 7 7 8 6 4 6 8 4 5 9 13 13 9 3 -2 2 5 5 6 3 -2 -0 6 4 -2 -2 6 8 9 12 10 5 5 6 6 3 2 4 6 7 7 6 9 13 10 6 10 19 21 12 3 5 7 6 8 5 4 6 9 9 4 0 5 7 6 10 16 16 11 9 8 6 3 3 6 9 11 10 8 6 4 6 6 5 6 9 10 9 7 4 2 2 3 3 3 4 6 9 17 24 20 14 8 4 5 6 6 5 5 5 6 6 6 6 5 5 5 6 6 6 6 5 5 5 6 6 5 5 5 6 6 6 5 4 4 4 4 2 -0 0 5 11 11 7 6 6 7 6 5 5 6 6 5 5 4 4 5 5 4 4 5 5 5 5 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 8 10 12 11 9 11 16 14 7 6 7 7 6 6 5 5 4 4 5 5 6 7 9 7 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 8 9 8 7 6 6 6 6 7 6 7 7 7 6 6 7 8 8 8 9 8 7 9 10 8 6 7 7 8 8 9 8 7 7 6 7 9 11 12 10 10 14 21 24 20 12 8 4 3 4 4 4 5 5 5 6 7 7 7 7 7 6 4 4 4 4 4 4 3 3 3 3 4 5 7 8 9 10 11 9 5 -1 -1 1 4 5 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 11 12 13 14 14 13 11 8 7 6 6 6 5 5 4 3 2 2 2 3 4 5 5 4 3 3 2 2 2 2 3 5 7 10 11 12 11 9 8 8 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 6 7 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 8 7 7 6 6 6 6 6 8 8 8 8 7 6 6 7 9 10 8 10 13 13 9 5 3 2 1 2 7 8 6 4 4 7 10 8 2 5 14 20 25 23 20 19 19 15 11 7 5 8 13 18 20 17 13 12 12 11 9 8 7 9 11 9 7 6 4 2 4 8 10 10 11 7 2 3 2 3 7 5 -1 1 6 0 1 4 4 6 8 9 6 4 4 6 7 6 6 8 8 7 7 7 10 14 12 8 8 13 16 10 5 7 6 5 5 -3 -1 5 5 2 -1 2 7 3 4 14 16 11 8 6 6 5 5 6 6 6 8 8 6 4 3 6 6 5 6 7 9 10 9 8 5 2 1 0 2 4 7 10 13 15 17 20 16 8 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 7 6 4 5 6 7 7 6 5 3 3 4 4 0 -3 -1 8 15 14 9 6 7 7 6 5 4 5 6 5 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 7 7 7 9 12 11 8 9 16 16 8 6 7 7 7 7 7 5 4 5 6 7 7 10 11 8 2 1 4 4 3 4 4 4 5 5 6 6 7 7 7 7 7 8 8 9 8 7 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 8 8 10 11 8 6 7 8 8 8 8 8 7 7 7 7 9 11 12 12 11 12 17 22 22 18 13 8 6 5 4 4 5 5 5 5 5 6 8 8 8 7 6 5 4 4 4 4 4 4 4 3 3 4 4 6 7 7 8 9 6 2 -0 -0 2 4 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 11 12 14 14 15 16 15 12 9 8 8 8 7 7 7 6 4 2 2 3 4 4 5 4 4 4 4 3 3 3 3 3 5 7 8 10 12 12 12 11 9 8 8 8 7 6 6 6 5 4 4 4 4 4 4 5 6 7 8 8 7 5 6 7 8 9 9 9 7 6 5 5 4 5 6 7 7 8 6 5 5 6 7 7 9 9 9 9 9 8 7 7 7 8 9 8 7 7 8 7 6 5 4 4 5 5 2 -2 2 10 12 7 4 9 17 22 25 25 21 17 13 8 4 3 6 12 18 17 12 8 8 9 10 8 8 10 11 14 14 11 9 7 3 1 2 6 5 6 11 11 10 7 2 3 6 3 2 6 9 3 5 6 4 6 7 6 3 2 5 8 9 10 12 12 8 8 7 6 7 9 10 10 5 3 7 10 8 7 4 9 8 0 7 9 5 -4 -7 3 10 6 6 13 12 8 4 2 5 10 14 12 8 6 7 7 5 2 3 6 7 6 5 6 7 7 9 12 11 7 2 -1 0 3 6 7 8 10 15 20 19 16 13 7 4 5 4 4 5 5 5 5 5 5 6 5 5 5 6 6 5 7 8 7 5 6 7 7 7 6 4 2 2 4 4 -0 -4 0 10 16 15 10 7 7 8 6 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 6 6 6 9 11 9 6 7 12 13 8 6 7 8 7 7 7 6 6 6 7 7 8 11 11 7 2 1 3 3 3 4 4 5 5 5 5 6 6 7 8 7 8 8 8 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 9 10 9 8 9 11 11 7 6 7 8 9 9 8 7 7 7 7 8 10 11 12 12 12 11 13 17 20 21 19 15 10 7 6 6 6 6 5 4 3 4 6 8 8 7 7 6 5 5 5 4 4 4 4 4 3 3 4 4 5 5 6 6 7 6 3 -0 1 3 4 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 10 11 12 13 14 14 15 13 11 10 9 9 10 10 10 9 8 6 5 4 3 4 4 4 5 5 5 5 5 4 4 4 4 5 6 8 9 12 13 12 10 7 7 7 6 5 6 7 6 5 4 4 4 4 4 5 6 7 7 8 6 5 5 6 8 10 12 12 10 7 4 4 4 4 5 6 7 7 6 4 4 5 7 9 9 10 10 10 10 10 9 7 7 7 9 7 2 3 8 8 7 5 4 3 5 8 3 -3 5 15 15 7 10 19 20 17 17 14 8 3 -0 -1 1 4 12 19 19 12 6 7 9 10 9 8 7 7 12 15 15 11 11 9 6 3 1 4 5 9 10 10 10 9 8 12 12 5 5 8 9 6 5 6 7 5 6 6 2 1 6 11 9 9 15 13 6 5 6 4 7 10 12 11 6 4 5 6 5 5 5 9 2 7 18 11 3 -7 -9 3 13 13 11 10 10 7 2 1 6 15 18 15 9 8 7 6 4 2 3 6 8 8 6 5 5 5 5 8 13 14 9 4 2 4 4 5 5 8 11 13 17 23 22 11 6 5 4 3 4 4 4 5 6 6 6 5 5 5 6 6 5 6 8 8 7 7 7 7 6 5 3 2 2 4 3 -1 -2 4 12 16 13 9 7 7 8 7 5 4 5 6 6 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 8 10 8 5 5 10 13 9 7 7 6 6 6 6 6 7 8 8 7 8 9 9 4 1 2 3 3 3 4 4 4 5 5 5 6 6 7 8 7 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 8 8 11 12 9 7 6 8 9 9 9 7 7 6 7 7 8 10 11 12 13 12 11 12 14 16 19 20 18 16 14 11 9 9 9 8 4 3 3 4 5 6 6 7 7 6 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 6 7 5 2 2 2 3 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 9 9 10 10 10 11 11 11 10 10 9 9 10 10 11 11 11 10 9 7 5 4 5 5 5 6 7 7 6 6 5 5 4 4 5 5 6 9 11 11 9 6 4 5 5 4 6 7 7 5 4 3 4 4 4 5 5 6 7 7 6 6 6 7 8 11 13 15 13 8 5 4 5 6 7 7 7 6 5 5 5 6 8 8 9 9 9 9 9 9 9 9 8 7 9 9 9 10 10 8 7 6 5 4 6 6 0 -3 6 20 26 24 23 20 10 4 2 -2 -7 -7 -4 0 5 13 21 22 14 5 3 6 9 9 9 10 8 6 10 15 15 12 12 10 7 6 4 5 7 10 7 6 8 6 11 18 15 8 8 8 7 7 7 10 9 5 8 8 3 2 7 12 10 9 11 7 2 1 4 6 8 13 15 11 9 14 15 8 4 7 9 5 -2 15 19 7 3 -4 -4 6 13 16 14 8 8 6 1 3 9 14 15 13 10 8 7 6 4 3 4 5 8 9 8 6 6 5 4 4 8 12 15 13 9 6 4 3 3 5 7 9 13 21 20 11 12 14 8 3 3 4 4 5 6 7 7 5 4 6 7 7 5 5 7 8 8 8 7 6 5 4 3 2 2 3 2 1 4 9 14 14 11 8 7 7 7 7 6 5 6 6 6 5 4 4 4 4 5 4 5 5 5 4 4 4 4 5 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 6 8 7 3 2 8 15 12 7 7 6 6 6 6 6 7 8 7 7 6 7 6 0 -1 2 3 3 3 3 4 4 5 5 5 5 6 7 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 6 7 8 9 9 10 9 8 8 12 12 8 7 8 9 10 10 9 6 5 6 7 7 8 10 11 12 13 13 12 12 12 13 15 17 17 17 17 15 14 12 12 13 12 9 6 4 4 4 5 6 5 6 6 6 5 5 5 5 6 5 5 4 3 3 3 4 4 5 5 5 4 3 3 3 3 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 8 6 6 5 5 6 8 8 7 6 6 5 5 5 4 4 4 5 7 8 7 6 5 4 4 4 5 6 7 6 4 3 4 4 4 5 5 6 6 6 5 5 6 7 9 11 13 15 14 10 7 7 8 9 9 9 8 7 6 5 5 6 7 6 6 6 7 7 7 8 9 10 9 9 10 12 14 13 10 7 6 5 4 4 5 5 -0 -2 8 22 29 28 15 2 -7 -9 -11 -11 -8 -2 3 6 13 21 22 17 8 3 2 3 5 6 6 8 8 7 10 14 14 14 13 8 5 9 9 6 8 8 4 4 4 4 14 16 7 6 11 8 5 7 9 9 6 9 9 9 8 6 8 10 9 8 6 2 3 6 6 6 6 11 14 12 12 16 17 12 11 12 12 6 8 20 10 3 10 4 -1 6 11 13 11 7 6 4 3 7 10 10 11 12 10 8 7 6 5 5 5 6 7 8 8 7 7 7 6 4 4 5 10 15 14 8 4 3 2 3 5 6 9 14 16 15 18 20 11 4 4 4 5 6 7 7 6 5 5 7 8 7 4 3 5 7 8 8 7 6 5 4 3 2 2 3 4 7 11 14 14 11 9 8 7 7 7 8 7 6 6 6 6 5 5 4 4 4 5 6 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 7 6 3 0 4 13 14 8 7 7 7 6 6 6 6 6 5 5 6 6 6 1 -2 1 2 2 3 4 4 4 4 5 5 5 6 7 9 9 9 9 9 8 9 8 8 8 7 7 7 7 6 6 7 8 9 9 10 9 7 9 12 11 8 8 9 11 11 10 8 6 5 6 6 7 7 8 9 10 11 12 12 12 11 11 13 14 15 15 14 15 15 15 17 19 19 17 13 8 6 6 5 4 4 5 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 10 10 10 9 9 8 8 7 8 8 7 7 7 7 7 8 9 10 11 11 10 9 7 6 6 6 8 8 7 7 5 4 4 4 4 3 3 4 4 5 6 6 6 6 5 4 4 6 7 7 5 4 4 4 4 5 5 5 6 5 5 6 7 8 8 9 10 12 12 10 9 8 9 9 10 9 9 8 7 7 6 6 5 5 4 5 6 6 7 8 10 11 10 10 11 14 16 14 10 6 4 4 5 7 9 7 4 -1 8 22 21 8 -6 -18 -17 -13 -13 -7 3 8 9 13 19 21 16 9 6 4 5 5 3 3 4 6 6 5 9 11 10 11 12 8 4 10 11 4 6 6 5 4 3 4 15 12 4 5 9 5 3 6 7 4 4 10 9 13 13 10 7 4 3 6 7 7 8 9 9 8 6 8 11 10 9 11 13 11 10 10 11 10 13 14 6 11 15 2 -1 5 7 8 7 5 4 4 8 9 9 9 10 11 9 7 6 6 7 8 9 9 8 6 6 6 7 7 7 6 5 4 5 9 12 9 6 5 3 3 4 5 6 9 14 21 18 12 8 6 9 9 8 8 7 6 6 6 6 8 9 7 3 1 2 6 8 8 7 6 5 3 2 1 2 5 9 12 15 16 13 9 8 8 9 9 8 8 8 6 6 6 5 5 5 5 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 6 4 2 4 10 13 8 6 7 7 7 7 7 5 4 5 5 5 6 6 3 -0 0 2 3 3 4 4 4 5 5 5 6 6 8 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 9 7 10 11 9 7 7 8 9 10 9 7 6 5 5 5 6 7 7 7 8 8 10 11 11 11 10 11 12 12 13 13 13 14 14 16 20 21 18 15 12 9 8 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 10 11 9 8 6 5 5 7 8 11 12 11 9 8 8 8 8 9 9 8 7 7 6 6 7 7 7 7 7 7 8 8 9 12 16 19 19 17 15 15 15 13 11 10 9 9 8 7 6 8 15 18 13 8 5 4 4 4 4 5 5 4 5 5 5 6 6 6 5 5 5 5 5 6 6 7 9 9 9 7 6 6 8 8 8 7 8 8 7 6 5 5 6 5 8 10 7 3 4 6 6 7 7 3 -2 -3 -1 4 7 7 8 7 6 4 4 5 7 5 3 5 6 8 10 9 8 7 4 4 7 10 11 11 9 8 4 4 0 7 10 3 7 14 0 0 13 14 6 1 4 7 9 7 8 10 5 5 11 -4 -0 7 11 12 11 6 1 -3 2 10 11 8 6 5 4 3 2 3 4 5 3 3 2 5 5 3 4 6 9 10 11 7 1 -1 4 9 10 9 9 11 14 15 16 19 18 16 11 8 7 6 6 6 6 6 6 6 5 4 2 2 4 5 5 4 4 6 8 6 3 3 6 5 3 1 2 3 3 3 4 4 4 5 6 6 5 4 4 5 6 5 6 6 6 6 7 7 7 6 6 7 8 9 8 7 6 8 13 14 6 5 13 18 8 2 8 14 12 7 9 11 11 11 10 9 8 7 7 8 8 8 7 7 7 8 8 8 9 7 9 13 11 8 8 8 5 3 2 3 4 4 5 4 5 4 4 4 3 3 4 3 3 3 3 3 4 5 5 6 7 8 9 11 13 11 6 5 5 6 6 7 8 8 5 7 13 16 13 12 11 11 11 11 11 10 8 8 9 11 10 7 4 5 8 11 12 9 3 -1 -1 3 4 3 4 4 4 4 3 4 5 6 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 9 8 9 9 9 10 10 10 10 9 9 9 10 11 11 10 10 10 11 12 12 12 11 11 10 10 10 11 10 9 9 8 7 7 7 6 5 5 6 6 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 13 15 16 14 13 10 8 9 12 17 23 32 39 33 26 23 24 25 24 20 13 8 7 7 8 10 10 11 11 nan nan nan nan nan nan nan nan nan nan nan
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nan 12 6 5 8 5 -3 5 13 20 18 15 15 18 17 12 3 5 15 16 15 12 12 9 13 21 16 8 4 6 11 18 20 15 6 2 10 18 21 13 6 5 9 12 13 18 21 21 15 8 5 11 13 10 7 7 8 12 16 19 20 22 23 24 23 21 18 14 12 9 8 10 15 17 17 14 12 14 17 17 17 17 17 15 12 9 8 7 8 11 14 14 12 11 11 12 13 13 12 12 12 11 11 12 13 13 13 13 13 13 13 13 12 11 10 10 12 13 12 12 12 9 8 9 11 12 16 18 16 13 11 11 11 11 12 10 10 11 12 12 13 14 14 14 14 11 3 -1 2 9 16 17 14 16 20 18 14 14 14 14 15 17 15 12 13 13 13 13 13 13 13 13 14 15 15 13 13 12 11 10 10 11 12 13 13 12 12 12 12 13 12 12 12 11 12 13 14 14 13 12 13 14 16 16 16 15 14 15 16 18 20 20 21 23 24 26 26 23 22 20 19 19 19 18 17 16 16 15 14 14 13 13 14 15 15 15 15 14 15 15 16 16 18 19 18 18 18 17 19 20 20 18 16 15 15 16 17 16 16 15 14 14 13 13 13 13 14 14 14 14 15 14 14 14 13 13 11 12 12 13 13 13 12 11 11 10 11 11 11 10 11 11 11 10 11 11 12 12 13 13 13 13 15 14 13 12 12 12 12 12 12 12 12 15 18 21 22 23 22 20 18 16 14 13 12 11 10 9 9 9 9 9 10 11 12 12 12 12 12 13 15 16 15 14 13 12 11 11 11 11 11 10 9 7 6 7 8 8 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 14 16 17 18 19 18 16 15 13 12 11 10 10 11 12 12 12 12 12 12 12 12 14 15 15 14 13 11 10 10 9 10 9 9 10 11 13 13 13 12 10 8 5 3 3 7 13 16 17 16 15 14 14 13 13 12 12 12 12 12 12 11 10 10 10 11 13 14 15 14 13 11 11 11 11 11 11 11 13 15 14 14 13 13 15 16 15 15 15 16 14 14 14 11 10 11 12 14 13 12 12 13 14 15 14 15 15 15 15 15 15 16 15 14 11 13 15 nan
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nan nan nan nan nan nan nan 11 18 13 9 6 7 9 11 11 8 5 10 15 18 19 16 11 7 11 11 13 15 16 18 19 15 5 2 6 12 16 16 14 9 8 11 11 12 12 11 11 14 16 16 17 21 22 22 20 19 19 19 19 20 18 11 7 8 11 14 15 13 11 11 14 13 10 9 7 8 8 8 7 7 12 16 18 17 12 7 5 5 10 12 13 12 11 10 11 11 10 7 6 6 9 11 12 12 12 13 13 13 13 12 12 12 10 10 10 10 9 9 10 12 12 11 12 13 13 13 14 15 14 13 12 11 10 11 12 12 12 12 13 14 14 14 13 13 13 12 11 12 14 15 14 15 15 14 15 15 16 15 14 15 15 13 12 13 14 14 14 13 13 13 14 14 14 13 12 12 12 12 12 11 11 11 11 11 11 10 12 14 14 13 12 11 10 11 11 13 15 15 15 15 15 15 15 14 14 14 14 15 16 17 16 15 16 19 25 25 22 22 22 22 21 20 19 18 16 15 14 14 14 15 16 16 15 15 14 14 16 17 18 18 17 16 17 17 17 15 14 13 15 17 16 16 16 17 17 18 19 18 17 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 13 12 10 10 10 9 9 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 12 11 10 9 10 10 10 11 13 14 14 17 18 18 15 10 8 6 6 6 6 7 7 8 9 9 8 9 9 9 9 10 10 10 10 10 10 10 12 13 15 15 13 12 11 11 11 11 11 9 7 5 6 7 7 7 9 9 9 10 11 12 12 12 12 12 12 12 12 12 13 13 12 14 17 16 14 13 14 14 15 14 12 9 6 6 9 11 12 12 13 13 12 11 12 12 12 13 13 13 16 19 19 16 14 13 12 13 13 14 12 12 12 13 14 15 18 21 22 21 19 16 14 13 12 12 12 12 11 10 11 11 10 10 11 12 13 14 14 14 13 13 13 12 12 11 11 12 12 13 14 14 14 14 13 14 17 21 21 19 13 9 11 13 13 13 11 11 12 14 13 12 14 15 14 14 14 15 15 15 16 15 15 15 15 15 16 14 11 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 9 8 8 14 17 18 17 15 12 11 5 5 12 14 14 16 18 15 10 9 9 12 15 16 14 10 6 5 10 11 11 11 12 12 14 16 19 21 20 17 14 13 14 16 16 15 12 7 4 6 10 15 17 15 16 18 19 14 8 5 5 6 7 8 6 5 7 11 13 15 14 11 7 7 10 13 15 14 13 12 14 15 14 11 10 9 9 9 10 11 12 12 12 11 12 13 13 11 10 10 9 8 7 7 10 12 13 13 13 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 13 14 15 13 12 14 16 15 13 12 12 13 14 14 14 13 14 15 15 15 15 15 15 13 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 11 11 10 11 14 14 13 12 10 8 7 9 15 19 17 16 16 15 15 15 14 13 14 15 16 16 16 15 15 16 18 20 21 21 21 22 22 22 21 19 17 16 15 14 13 13 15 16 16 16 15 14 14 15 17 18 17 15 15 16 15 15 17 17 16 15 16 16 16 16 15 15 17 19 19 18 16 15 14 14 14 14 13 13 13 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 12 12 13 13 13 12 12 11 11 12 12 12 13 13 12 11 10 9 10 9 10 11 11 11 14 16 18 20 18 14 8 5 4 4 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 12 13 14 14 12 11 12 12 11 11 10 8 6 5 5 6 7 8 9 10 10 10 11 12 12 12 12 12 13 13 13 12 13 13 12 15 16 15 13 13 15 15 12 9 5 2 2 5 10 12 13 13 12 12 11 11 12 11 11 10 11 13 16 20 21 17 15 13 14 14 14 12 12 12 13 14 15 16 17 17 16 16 14 14 14 14 13 13 13 12 12 12 12 12 11 11 12 13 15 14 13 12 12 12 12 12 12 11 11 12 13 14 14 14 14 13 14 15 18 23 23 17 9 9 11 13 11 10 11 13 13 13 12 11 13 15 15 15 15 15 15 15 15 14 15 15 16 17 17 15 13 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 7 0 -1 10 17 20 16 13 12 18 18 12 10 10 14 15 12 9 7 8 10 12 14 15 15 15 16 16 16 15 12 10 9 9 12 16 18 15 11 7 5 7 10 14 15 13 13 16 17 14 10 7 6 7 8 8 8 7 9 10 11 12 15 12 10 10 13 15 15 15 16 16 18 19 18 15 13 11 9 9 10 11 12 12 11 12 13 14 15 13 10 10 10 8 7 7 9 10 12 13 14 13 13 13 13 12 11 11 11 11 12 12 12 13 12 12 13 15 14 12 12 13 14 14 15 14 14 14 14 13 13 14 15 15 15 15 15 14 14 14 13 13 12 11 12 13 13 13 14 14 13 13 13 12 12 13 12 12 13 13 13 13 12 11 12 13 13 13 12 11 9 6 5 10 19 22 22 21 17 15 14 14 13 13 14 15 15 16 15 15 16 15 16 16 17 18 20 20 20 20 19 17 16 15 14 14 13 14 15 16 16 16 15 14 14 16 18 17 17 16 15 14 13 15 19 17 15 15 15 15 13 12 9 10 13 16 17 17 17 15 14 14 14 13 13 13 13 13 14 15 15 15 14 13 13 13 13 12 12 12 13 13 13 12 12 12 12 12 13 12 12 12 13 13 12 12 11 11 10 10 10 10 10 11 12 14 16 17 18 15 11 7 4 4 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 10 13 13 12 12 11 11 11 11 11 9 7 6 5 5 7 8 9 9 10 9 10 11 11 12 13 13 13 13 13 13 14 13 13 13 14 15 16 16 15 14 10 5 3 2 4 7 10 12 12 13 12 11 11 12 11 12 11 10 11 11 14 17 21 20 16 13 12 14 14 14 14 13 12 13 13 14 13 13 12 13 13 14 14 14 15 15 14 14 12 12 13 12 12 11 11 13 14 14 13 11 10 11 13 13 14 13 12 10 11 12 14 14 15 15 14 15 16 19 21 19 13 8 9 11 11 10 11 12 12 12 12 12 12 13 15 15 15 15 15 15 15 15 15 15 15 15 17 17 16 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 10 8 14 15 12 7 9 11 11 9 9 9 13 12 11 12 15 16 16 19 18 12 8 6 6 7 8 11 17 20 16 12 7 5 5 8 12 11 7 5 9 11 11 10 9 8 8 7 7 10 12 12 12 11 10 12 11 10 9 13 15 16 15 16 17 16 16 16 14 12 10 10 9 11 13 14 14 13 13 13 14 14 13 13 13 12 10 9 8 8 9 10 13 14 14 14 13 12 11 11 11 11 12 14 13 13 13 13 13 12 13 12 11 11 11 13 14 16 15 14 16 14 12 14 15 16 16 16 15 13 12 12 14 14 14 13 11 12 12 13 13 14 14 13 13 13 13 13 12 12 12 13 13 13 13 13 13 12 12 13 12 12 13 12 10 6 5 10 16 23 28 25 19 16 14 13 12 13 13 14 15 15 16 16 15 14 13 13 15 17 18 17 17 18 19 19 17 16 17 16 15 16 16 17 17 16 15 14 15 16 17 18 17 15 14 13 16 18 16 15 14 13 13 13 13 11 10 10 12 13 15 16 15 14 14 14 14 14 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 12 11 11 11 11 11 12 12 13 13 13 13 12 10 10 11 11 11 11 11 12 13 15 17 16 14 11 6 4 4 6 7 8 8 9 8 8 7 7 5 5 6 6 7 7 8 7 8 8 8 8 8 8 8 8 11 12 11 11 11 11 11 11 11 11 8 7 6 6 6 7 8 9 9 9 10 11 12 13 13 13 14 14 14 14 14 14 14 15 15 17 19 18 17 13 8 6 6 9 12 13 14 13 12 12 11 11 11 12 12 12 12 11 12 12 13 16 18 17 15 12 13 14 15 14 14 13 14 13 13 12 12 12 13 14 14 14 14 14 15 14 14 12 11 11 11 12 12 12 13 13 14 14 12 10 11 14 14 14 14 13 11 10 11 12 13 14 15 15 17 17 17 17 20 17 12 10 10 10 8 10 12 12 11 10 11 12 14 15 15 15 15 14 14 15 15 16 15 15 15 16 16 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 12 15 15 14 14 13 11 10 9 11 14 17 15 11 11 11 11 10 10 13 17 19 18 14 8 3 3 5 7 7 3 2 4 6 6 6 6 6 6 5 7 11 12 12 12 11 10 9 9 8 9 12 14 13 13 12 13 14 14 14 13 13 12 12 12 10 11 13 13 12 11 11 12 13 12 13 12 12 11 9 9 8 8 10 12 14 14 14 13 11 11 11 11 11 12 13 14 14 13 13 13 12 11 11 11 11 12 13 15 15 12 13 16 15 14 14 16 17 16 16 15 13 12 13 14 14 14 14 12 12 12 13 13 14 13 13 13 12 13 12 12 12 12 13 13 13 14 14 14 13 13 12 12 12 13 14 13 10 5 2 6 13 30 35 23 17 15 13 13 12 12 13 14 15 16 16 16 15 14 13 13 15 15 14 13 16 21 24 21 18 19 19 18 18 17 16 15 15 15 14 14 14 14 15 16 15 15 14 15 16 16 15 15 14 14 14 14 14 13 11 10 10 11 13 14 15 15 15 15 16 17 17 16 16 15 15 14 13 14 14 14 13 13 14 13 12 12 12 11 10 10 11 11 12 13 13 13 12 11 10 10 11 12 12 13 13 14 17 17 17 15 11 8 6 5 6 8 9 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 11 11 11 11 9 9 10 9 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 6 6 7 8 9 10 11 11 12 13 14 14 15 14 15 15 14 14 14 15 18 19 18 16 13 11 10 8 10 13 14 13 13 12 11 11 11 11 11 12 13 13 13 14 14 13 13 17 18 16 14 13 13 13 13 14 13 13 13 13 12 12 12 13 14 15 14 13 13 13 12 12 13 12 11 11 11 11 12 13 15 16 16 14 12 11 12 14 15 15 12 11 11 11 12 12 13 13 14 15 17 19 19 17 17 17 15 13 10 9 9 11 13 13 10 8 9 11 12 14 15 15 15 15 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 13 15 15 15 16 16 14 13 13 16 19 18 17 15 14 11 7 7 7 7 6 6 5 3 2 3 5 8 10 11 12 11 9 9 10 11 12 11 9 8 11 14 15 14 12 11 10 12 13 13 13 13 14 15 14 12 12 13 12 11 11 12 12 12 11 11 11 11 11 10 9 9 10 11 12 14 14 13 12 11 11 11 12 13 13 13 14 14 13 11 10 11 12 12 12 13 14 15 16 13 10 11 15 15 15 15 17 16 15 16 15 15 14 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 12 13 13 13 13 13 12 13 14 14 14 14 13 12 12 13 14 13 12 9 3 -2 0 23 39 30 23 17 13 12 12 12 13 13 14 15 16 17 16 16 15 14 14 14 11 7 8 18 27 26 21 21 20 19 18 18 17 15 14 14 15 14 14 13 14 15 15 14 14 14 14 14 15 14 13 13 13 13 13 12 11 10 10 11 10 13 15 15 16 15 15 15 16 15 16 16 15 15 14 14 15 15 14 13 13 12 12 12 11 11 11 12 12 12 13 13 12 12 12 12 13 14 16 17 18 19 21 21 20 18 14 10 8 6 6 7 8 9 9 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 12 12 11 11 11 10 10 11 10 10 11 11 11 11 12 11 10 10 9 9 8 7 6 6 6 8 9 11 12 12 12 14 15 15 15 15 15 14 13 12 13 16 18 17 12 10 10 10 10 10 11 13 14 13 11 11 11 11 11 11 12 12 13 13 14 16 15 13 14 17 19 19 16 14 14 13 13 13 13 13 12 12 12 12 12 12 13 13 13 12 11 11 11 10 11 13 13 13 13 13 14 14 14 14 13 13 12 11 13 15 14 11 11 11 12 12 13 13 14 15 15 15 16 16 15 16 17 17 15 12 9 9 10 13 14 13 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 9 7 6 6 6 7 8 10 11 15 18 16 14 14 13 12 12 16 21 24 28 32 33 35 35 32 29 27 27 28 28 27 23 21 20 19 20 24 26 25 22 20 19 18 18 18 18 18 19 19 19 19 18 18 18 19 22 26 26 24 25 24 18 14 14 13 12 13 13 13 13 12 12 13 12 7 6 6 6 7 7 6 6 6 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 2 1 2 1 0 0 0 1 1 3 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 7 24 46 67 81 81 78 79 79 73 64 57 60 77 74 50 39 60 90 105 113 116 118 117 104 78 61 62 57 47 52 76 101 116 124 129 129 131 138 152 166 182 187 172 151 136 122 118 112 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 11 10 8 7 7 8 8 9 10 14 17 18 15 12 11 10 11 12 16 21 25 26 26 28 29 26 23 22 23 25 27 26 23 23 21 17 17 18 19 20 19 18 19 18 17 16 14 13 15 17 17 14 14 14 15 15 17 20 20 20 20 17 14 13 14 13 13 13 13 12 13 13 12 12 11 7 6 6 6 6 7 6 6 6 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 2 2 0 0 0 2 3 4 6 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 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 0 0 0 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 33 51 75 88 88 90 90 82 72 67 74 89 90 80 81 94 99 102 106 110 115 120 121 115 109 105 95 96 113 126 134 141 138 133 131 132 143 156 171 184 184 177 167 152 136 126 116 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 13 12 10 9 8 9 9 10 10 12 13 15 15 11 11 11 12 13 16 20 23 21 20 21 22 19 15 15 16 19 22 22 21 20 20 20 17 16 16 17 17 16 16 16 15 13 10 9 10 10 10 8 10 12 12 12 13 15 15 15 15 13 13 13 13 13 13 13 13 13 14 14 13 12 10 7 6 6 6 6 6 6 6 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 3 4 5 6 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 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 4 30 54 72 89 95 96 96 91 82 75 76 79 83 87 93 98 102 104 106 108 111 114 119 124 124 120 123 126 132 137 139 140 136 131 131 135 149 167 181 188 191 190 183 168 151 140 132 127 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 17 15 13 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 13 16 18 19 18 17 17 19 17 10 11 12 13 15 16 16 16 15 14 14 14 15 16 17 15 14 14 14 12 9 7 7 6 6 6 8 11 12 13 13 14 14 14 14 13 12 12 13 13 13 13 13 13 15 15 12 10 8 6 6 6 6 6 6 6 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 2 2 2 4 6 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 1 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 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 6 29 66 95 98 96 97 98 98 97 92 87 82 80 80 85 89 92 99 98 104 108 111 113 116 117 122 126 131 132 133 134 134 133 133 132 132 139 153 167 176 179 185 189 182 168 154 147 142 140 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 17 15 12 10 9 9 9 9 10 10 11 11 10 10 11 11 11 12 13 14 14 13 13 14 15 14 10 10 11 11 11 13 13 12 12 11 11 12 13 14 16 15 13 13 13 11 9 8 7 6 6 6 6 8 9 11 12 13 13 14 14 13 12 12 12 12 13 14 13 13 15 14 12 10 8 6 6 6 6 6 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 4 4 3 5 7 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 1 2 4 4 2 0 0 0 0 1 0 0 0 0 0 0 0 2 6 4 1 0 11 52 93 124 117 97 90 100 100 102 99 95 89 81 79 81 86 89 94 94 99 105 111 114 116 118 119 120 123 126 126 127 130 132 134 135 138 146 153 157 159 164 173 179 172 160 150 144 140 140 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 15 15 13 11 9 8 8 8 8 8 9 10 10 11 12 14 14 14 13 12 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 11 10 11 12 12 12 12 11 12 12 11 10 9 8 7 7 6 6 6 7 9 10 11 12 12 13 13 12 12 12 12 12 13 13 12 13 14 14 12 10 6 6 6 6 6 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 8 10 9 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 2 7 11 18 20 17 17 14 9 8 8 7 8 7 6 6 6 6 3 0 3 8 24 22 13 8 32 62 90 115 119 98 84 88 99 108 108 102 95 87 83 87 90 91 93 95 97 97 103 109 111 114 117 117 117 118 118 121 127 131 132 134 138 146 150 150 154 163 173 176 169 160 152 142 137 137 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 10 13 14 14 12 10 8 7 6 6 6 7 9 10 11 13 16 18 18 17 17 16 15 14 15 15 15 14 13 12 12 11 11 12 12 13 13 12 12 11 11 10 10 9 10 10 10 10 10 9 8 8 7 6 6 6 7 9 10 11 11 11 12 12 11 11 12 12 12 12 12 12 13 14 14 12 7 6 6 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 8 6 5 4 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 8 17 21 24 24 18 12 8 8 15 18 20 21 15 15 30 31 30 24 32 44 42 39 34 54 65 84 103 114 108 86 79 88 106 116 112 104 91 86 89 93 94 94 95 96 94 96 101 106 111 115 115 114 115 115 117 121 124 126 127 137 150 150 153 163 176 181 182 176 168 160 151 143 138 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 10 12 12 13 12 11 9 7 6 5 5 5 6 8 10 11 13 16 18 19 20 20 19 17 16 17 18 17 16 14 12 12 12 12 12 13 13 13 12 12 12 11 10 9 8 8 8 8 9 10 10 8 7 7 6 6 7 7 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 11 7 6 6 6 6 6 5 5 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 2 5 6 7 7 4 2 1 1 1 1 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 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 2 4 5 13 17 12 5 2 1 3 14 23 31 27 24 44 55 63 58 63 54 51 50 51 58 66 83 99 113 115 100 81 78 93 111 120 115 103 93 92 94 94 94 94 95 96 95 95 103 107 108 109 112 116 116 116 116 117 119 124 142 157 161 168 181 195 197 191 182 172 164 156 149 141 133 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 8 10 10 10 10 11 10 9 7 6 4 4 4 5 6 8 9 12 15 18 20 22 22 19 18 17 17 17 16 14 13 14 14 14 13 12 12 12 13 13 12 12 11 10 8 7 6 7 7 8 9 9 7 6 6 6 6 6 7 8 9 9 9 9 8 9 9 10 10 11 11 11 11 12 11 9 7 6 6 6 5 5 5 4 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 3 1 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 5 0 0 0 0 6 20 36 48 51 58 67 70 65 60 59 58 59 61 64 71 83 98 109 113 112 101 87 82 91 106 118 116 104 98 96 94 94 94 94 95 95 91 100 105 104 103 107 113 117 118 117 117 120 131 149 165 172 182 197 208 207 195 182 170 162 158 154 146 135 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 5 5 5 6 7 8 8 7 6 4 2 1 2 3 5 6 7 9 12 16 20 21 20 18 17 16 15 14 13 14 15 17 16 14 13 12 12 12 13 13 12 12 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 6 5 5 5 5 5 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 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 2 6 1 0 0 0 6 22 43 70 86 90 86 82 77 74 72 71 71 75 84 88 90 98 107 110 117 120 109 92 85 91 104 114 109 104 102 97 94 93 94 94 96 94 99 104 104 102 103 109 117 122 123 121 124 136 154 168 175 186 200 206 202 190 177 166 159 160 163 152 136 126 nan nan nan nan nan nan nan 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 1 1 1 1 2 3 4 4 3 2 0 0 0 1 3 5 6 6 8 10 13 17 18 18 16 15 14 13 13 13 15 18 18 16 14 14 13 12 13 13 13 14 13 10 7 6 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 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 2 3 3 5 12 12 6 1 7 19 33 55 83 101 108 105 95 87 85 87 88 89 94 104 111 110 110 114 114 118 127 130 120 105 105 113 114 112 111 108 103 97 95 96 98 98 97 99 102 103 102 103 108 119 126 126 124 128 138 152 164 171 179 189 193 192 185 174 162 159 165 169 155 135 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 4 6 6 6 6 7 10 14 16 16 15 14 14 14 14 15 17 19 20 18 17 15 14 13 13 14 15 14 10 8 6 5 4 3 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 2 7 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 17 16 14 19 22 10 1 7 29 51 71 90 101 106 103 96 96 100 103 104 104 106 115 122 122 123 127 128 132 132 139 139 129 124 132 130 122 119 116 108 101 97 98 101 102 101 99 98 98 100 104 113 123 128 126 125 129 137 148 160 164 167 169 173 179 179 170 161 159 165 167 154 134 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 6 6 5 6 9 13 15 15 16 16 16 15 15 15 16 17 17 16 16 14 13 12 12 12 12 10 8 6 5 4 3 2 2 1 0 0 1 1 1 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 7 4 4 7 9 9 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 14 27 27 23 23 24 23 18 22 44 70 90 100 104 106 104 102 108 115 120 118 114 112 116 124 128 131 138 142 146 143 144 145 139 130 127 129 131 130 125 117 108 102 100 103 105 106 103 97 93 93 101 115 128 130 124 124 128 134 143 152 154 155 155 158 163 167 164 158 156 158 160 151 133 118 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 5 5 6 9 12 14 15 16 16 16 15 14 14 14 14 14 14 13 12 11 10 10 10 10 8 7 6 5 4 3 2 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 9 7 7 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 27 34 30 24 24 28 31 40 61 90 111 116 113 112 114 117 122 128 133 130 122 119 119 121 127 135 145 148 148 148 150 153 149 138 127 124 131 134 132 124 117 110 104 102 105 108 109 108 95 87 93 110 127 131 124 121 125 132 138 139 138 140 142 145 149 153 154 152 149 148 148 143 130 116 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 5 7 9 11 13 15 15 15 15 14 12 11 11 11 12 11 10 10 10 10 9 9 8 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 4 4 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 44 40 26 23 29 33 43 69 110 137 132 123 122 125 125 129 134 136 133 127 121 119 119 124 135 146 146 144 148 153 156 155 149 140 135 133 133 130 125 121 118 110 100 98 101 106 113 108 95 92 102 116 125 124 119 121 129 132 128 123 123 125 126 128 134 140 142 139 135 133 128 119 107 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 4 4 6 8 11 12 13 14 14 13 10 8 8 10 10 10 9 9 9 9 8 8 8 8 7 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 1 1 1 0 0 1 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 4 25 53 52 30 25 32 35 42 72 128 156 144 132 130 129 129 131 133 132 128 123 119 117 116 119 129 142 145 142 146 151 152 151 147 142 138 136 132 126 121 120 120 114 100 86 83 95 109 113 106 98 99 107 117 120 116 117 123 124 118 110 107 106 106 107 113 124 132 126 118 113 109 102 92 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 4 4 4 5 7 8 10 12 13 12 10 8 9 10 10 9 8 8 8 8 8 8 8 8 7 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 1 0 1 4 6 8 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 2 17 48 58 37 26 36 42 49 79 134 158 147 138 136 132 130 130 130 127 123 119 115 113 113 114 121 133 143 147 150 152 153 150 144 138 134 133 129 126 123 123 120 114 99 80 71 83 102 112 110 105 102 105 109 112 112 113 118 117 108 97 89 88 87 87 92 104 115 112 101 91 87 83 75 62 nan nan nan nan nan 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 9 7 4 3 3 4 5 7 11 14 13 12 11 11 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 4 8 10 10 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 40 60 43 29 38 52 63 89 133 153 144 134 132 129 128 127 126 123 119 116 112 110 109 109 111 120 134 150 157 157 158 152 144 138 132 129 127 126 125 124 119 112 102 87 78 84 102 112 111 107 106 105 104 103 103 106 114 115 102 85 75 72 71 70 75 86 97 99 88 75 68 64 57 44 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 3 3 3 3 2 3 3 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 4 6 9 12 12 9 6 4 3 3 3 6 10 13 14 13 13 12 12 10 8 6 6 6 6 6 6 6 6 6 6 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 0 1 5 8 9 10 10 8 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 31 54 47 35 40 51 71 98 129 144 136 126 121 118 118 119 120 118 114 112 109 105 103 102 102 107 118 135 150 154 155 149 139 132 131 131 132 131 128 125 121 117 111 102 93 92 103 115 113 105 107 109 104 94 88 94 106 111 100 82 67 61 59 58 62 72 85 91 80 62 52 46 38 26 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 5 5 6 7 7 8 7 7 7 7 7 5 3 1 0 0 1 2 3 2 0 0 0 0 0 1 4 5 7 11 14 14 12 10 8 6 4 3 6 9 12 14 15 14 13 11 9 7 6 6 6 6 6 6 6 6 6 6 7 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 1 3 8 9 10 10 9 7 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 2 2 0 1 0 0 0 0 0 0 0 0 3 22 44 48 42 43 51 67 94 119 132 126 115 108 105 103 103 105 105 102 99 98 97 96 97 97 97 102 114 127 138 143 143 136 127 124 132 138 138 136 132 128 130 126 118 108 100 107 117 113 104 106 110 108 95 83 83 97 109 105 86 66 54 50 49 52 63 78 85 75 56 42 32 24 16 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 11 8 7 6 7 8 9 9 9 9 9 9 8 7 6 4 3 3 4 6 7 5 2 0 0 0 1 3 4 5 7 11 14 14 14 13 11 8 6 6 7 10 13 14 14 13 12 10 8 7 6 7 7 6 6 5 5 6 6 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 3 7 10 11 10 9 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 7 4 1 0 0 0 0 0 0 2 17 39 49 47 46 54 72 96 110 121 115 101 95 92 87 85 88 88 86 83 82 84 86 88 90 90 92 96 104 115 125 132 134 131 126 127 136 139 139 138 139 140 138 131 120 110 111 117 115 109 108 111 111 101 87 81 90 106 110 96 73 54 45 43 46 56 68 75 67 48 33 22 16 11 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 13 10 7 5 6 6 6 7 7 6 6 5 5 6 7 7 6 6 7 8 11 10 7 2 0 0 0 2 3 4 4 7 10 12 13 13 13 12 10 9 8 8 10 13 14 13 12 11 9 7 6 7 7 7 6 5 4 5 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 5 10 13 13 11 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 7 8 9 8 3 0 0 0 1 2 1 0 12 35 48 49 49 55 67 90 105 114 107 91 85 84 77 73 75 75 72 68 67 68 70 72 75 79 83 88 91 96 102 112 122 127 129 129 132 134 131 129 136 141 142 139 129 119 115 118 119 116 115 117 117 112 102 92 91 101 111 106 85 61 43 37 42 50 59 60 51 36 25 17 11 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 14 13 11 7 5 4 4 4 4 3 2 0 1 1 2 4 6 7 7 8 9 10 12 11 9 5 2 0 0 1 2 3 4 7 9 10 11 12 13 13 12 11 9 9 11 12 12 11 10 9 7 7 7 7 7 8 7 5 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 11 15 16 13 9 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 7 9 14 13 5 0 0 0 1 3 5 4 10 29 47 52 53 56 65 82 105 116 109 94 86 82 75 70 70 69 65 59 55 55 54 54 54 56 64 73 79 82 82 87 97 110 124 130 132 132 126 118 117 125 133 136 133 126 121 120 120 121 122 123 124 125 123 116 106 104 116 114 95 71 49 38 41 49 57 56 45 31 22 15 10 7 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 16 15 13 9 6 4 4 3 3 2 0 0 1 2 2 4 5 6 6 6 7 9 10 11 11 10 5 2 0 0 0 2 3 4 5 6 8 11 13 15 15 13 12 10 10 10 10 10 9 9 8 8 8 8 7 9 8 6 5 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 16 13 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 7 7 9 14 18 15 6 0 0 0 3 13 17 12 11 26 48 54 56 60 72 83 109 124 121 106 90 81 74 69 70 69 63 54 48 46 45 42 38 35 38 45 54 61 62 64 70 82 97 116 127 133 126 111 103 104 111 121 130 131 127 122 120 121 124 124 125 128 136 137 128 122 125 121 104 81 60 46 47 58 69 72 62 44 32 22 15 10 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 15 16 15 11 8 5 4 3 1 1 1 1 2 3 4 5 5 5 5 5 6 7 8 9 10 11 8 4 1 0 0 0 1 2 3 4 5 8 12 15 16 15 14 13 12 11 10 10 9 9 8 8 8 9 8 8 8 8 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 12 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 12 14 17 19 14 6 0 0 1 7 20 22 16 13 28 45 54 54 57 69 85 114 132 130 114 93 79 70 67 69 70 64 56 49 44 42 38 33 24 22 23 29 33 34 39 46 56 69 90 113 130 123 104 90 87 90 101 120 131 133 126 119 119 122 123 118 119 133 144 144 139 136 128 110 88 70 59 60 73 85 91 88 76 58 42 29 19 13 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 13 13 14 12 8 5 3 2 0 0 0 0 1 2 3 4 5 5 5 5 6 6 7 7 8 11 10 6 3 1 0 0 0 1 2 3 4 6 10 13 15 15 15 14 13 12 12 11 10 10 9 8 8 8 9 9 9 9 8 7 5 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 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 0 0 0 0 0 0 0 0 0 0 0 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 9 12 13 14 16 18 16 9 2 0 3 14 29 28 19 14 20 38 50 52 51 55 71 99 125 134 119 94 77 69 65 67 68 65 60 53 48 44 40 35 28 22 17 12 11 10 13 17 25 41 63 91 115 116 96 80 75 75 84 105 125 135 134 126 121 121 121 114 113 127 142 151 150 142 127 108 87 72 68 75 84 92 98 101 99 86 66 47 32 21 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 10 11 12 12 11 9 6 3 1 0 0 0 0 0 0 1 2 3 4 5 5 6 6 7 6 6 8 10 8 5 2 0 0 0 0 0 0 2 3 6 11 14 14 15 14 14 13 13 12 12 11 11 10 8 8 8 9 9 9 9 8 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 9 10 9 11 14 18 20 17 10 7 12 22 34 33 21 13 13 27 42 48 46 45 52 73 104 127 122 96 80 75 70 70 70 67 63 57 51 47 43 38 32 26 20 12 4 0 0 2 5 14 36 66 94 103 86 67 63 63 68 89 116 133 140 133 126 123 120 112 110 122 137 146 147 138 118 98 79 69 70 80 87 94 101 107 106 95 76 56 40 27 17 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 11 12 12 10 8 4 1 0 0 0 0 0 0 0 0 2 3 4 4 5 5 6 6 5 6 7 7 6 4 1 0 0 0 0 0 0 2 4 8 11 12 13 13 13 13 13 12 12 13 13 12 10 9 8 8 8 9 9 9 8 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 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 1 2 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 4 7 7 4 4 9 14 20 26 26 24 26 28 29 28 21 11 8 15 27 37 40 40 43 56 82 108 113 97 87 81 77 76 75 74 70 62 55 49 44 38 32 25 19 12 4 0 0 0 0 2 13 40 74 89 68 55 57 56 58 75 103 128 140 137 130 126 121 112 108 117 129 134 127 116 101 86 72 68 72 79 86 96 104 110 107 94 76 60 47 35 25 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 12 13 13 13 12 8 3 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 5 5 6 6 5 3 1 0 0 0 0 0 0 0 3 6 8 9 10 10 11 12 13 13 13 14 14 13 12 11 10 9 8 8 9 9 9 8 7 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 2 2 1 1 1 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 3 8 6 0 0 0 0 2 6 6 2 1 4 8 18 29 36 40 38 30 23 20 18 12 6 5 13 24 29 33 36 46 64 88 98 90 82 74 69 67 69 75 76 68 58 49 42 35 28 21 14 10 5 0 0 0 0 0 1 16 52 69 55 50 58 62 61 67 87 117 138 141 135 128 121 111 104 111 121 121 106 92 81 74 70 70 74 78 87 98 107 111 106 92 76 64 58 50 38 29 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 13 14 14 15 15 14 10 5 1 0 0 0 0 0 0 0 0 1 3 4 5 5 5 5 6 8 6 3 1 0 0 0 0 0 0 0 1 2 4 5 6 6 6 6 8 10 12 13 15 16 16 14 12 11 9 8 8 9 9 9 9 8 7 6 4 3 3 3 3 2 2 1 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 2 0 0 0 0 1 1 1 1 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 2 1 1 2 3 5 6 4 2 1 0 0 0 0 0 0 0 0 1 6 12 10 3 0 0 0 0 4 4 1 0 2 4 11 16 27 40 41 31 22 19 16 13 8 6 12 18 20 28 29 36 51 69 81 81 73 59 47 40 45 53 59 58 52 45 40 32 24 18 12 6 3 0 0 0 0 0 0 7 31 49 44 46 64 78 77 70 77 104 134 144 140 133 121 106 97 105 113 112 100 80 66 63 67 71 72 76 85 98 110 114 106 90 75 66 60 54 42 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 12 14 16 16 15 14 15 15 14 10 4 2 0 0 0 0 0 0 1 2 4 5 5 5 5 7 11 13 10 4 1 0 0 0 0 0 0 0 1 2 3 4 5 5 3 1 2 4 8 11 12 13 15 16 15 13 11 10 10 10 10 9 9 9 8 8 6 5 5 5 5 5 4 3 2 1 0 0 0 1 2 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 4 4 4 5 6 6 6 6 6 5 4 6 10 11 7 3 2 1 0 0 0 0 0 0 0 2 9 16 15 10 5 0 0 0 2 4 2 0 0 2 5 9 18 32 38 32 24 20 16 14 13 13 17 19 19 24 23 30 41 53 62 67 67 58 43 30 28 32 36 37 38 40 38 32 23 17 12 6 1 0 0 0 0 0 0 2 18 34 34 40 68 91 94 84 81 98 127 143 142 136 122 106 96 99 104 109 105 83 61 57 64 70 69 69 76 92 106 111 102 86 73 64 52 38 30 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 13 17 19 17 14 13 14 15 15 14 12 10 8 4 1 0 0 1 2 4 6 6 6 6 6 8 13 17 17 9 2 0 0 0 0 0 0 0 1 2 2 4 5 5 4 2 0 1 5 7 9 9 10 12 14 15 14 13 12 11 10 10 9 9 10 9 8 7 7 6 7 7 6 6 4 2 1 0 0 0 1 3 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 6 8 8 8 8 8 8 7 7 9 13 17 21 20 14 7 4 1 0 0 0 0 0 0 0 3 13 22 21 16 11 3 1 0 2 5 5 4 1 1 3 8 20 33 41 40 32 23 17 15 15 16 18 20 19 13 9 22 33 41 45 50 58 62 55 44 38 36 35 34 35 40 41 37 26 17 14 9 3 1 0 0 0 0 0 0 11 24 26 34 63 89 99 98 92 98 121 141 144 137 125 110 99 97 99 107 111 97 75 64 68 75 73 68 72 86 101 105 95 83 73 65 51 33 20 16 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 13 16 17 14 12 11 12 13 15 16 16 16 14 8 3 1 1 0 1 3 5 6 7 7 7 8 12 17 20 15 5 1 0 0 0 0 0 0 0 0 1 3 5 6 6 4 2 3 6 8 8 6 5 6 9 12 14 13 12 11 10 10 10 11 11 11 10 9 9 8 8 8 8 8 6 5 3 2 1 0 1 2 3 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 6 10 10 9 9 9 9 13 18 23 24 25 27 26 23 18 11 4 0 0 0 0 0 0 0 4 17 31 34 25 18 13 8 4 4 6 7 7 5 2 3 12 27 38 48 49 40 23 19 17 15 16 18 19 17 6 1 8 22 34 36 36 39 48 55 56 55 55 54 50 46 50 50 44 33 21 15 12 8 4 1 0 0 0 0 1 6 19 23 26 52 73 93 109 109 107 119 141 150 145 131 117 107 100 98 105 113 108 96 84 86 95 91 81 82 92 102 103 93 82 76 70 57 38 22 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 13 14 14 13 12 12 12 14 15 16 16 16 15 11 8 6 4 2 1 2 3 6 10 12 10 9 10 15 19 16 9 3 1 0 0 0 0 0 0 0 0 1 3 6 7 7 8 9 11 13 12 9 6 5 5 6 8 9 10 9 9 10 11 12 12 12 12 11 10 9 9 9 9 9 8 7 5 4 2 2 3 3 4 4 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 3 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 3 2 4 7 11 11 10 10 11 16 23 28 29 29 30 31 32 31 27 18 5 0 0 0 0 0 0 4 18 37 43 38 30 21 16 11 7 5 5 6 5 4 4 9 24 39 50 55 49 33 24 20 15 14 17 18 14 6 1 0 10 26 35 30 23 23 32 44 53 60 67 69 68 65 59 50 40 28 18 13 11 7 2 0 0 0 0 0 3 16 22 20 34 52 81 111 128 133 139 153 163 156 136 116 104 96 94 100 110 115 114 109 112 118 116 108 106 109 111 108 98 88 81 74 60 42 30 23 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 16 17 16 15 15 15 15 15 15 14 14 14 14 13 12 12 13 11 7 2 1 6 13 18 15 11 10 13 17 16 12 7 4 2 2 1 1 0 0 0 0 0 1 4 7 8 11 15 19 22 22 20 17 12 8 6 6 6 7 8 8 8 10 11 11 12 12 13 12 9 8 8 9 10 10 8 6 5 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 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 1 2 2 1 2 3 3 4 10 13 13 12 12 14 17 24 29 32 33 35 36 37 38 35 24 10 2 2 3 2 2 5 19 38 47 46 41 30 23 18 13 6 1 2 2 0 1 6 16 35 48 56 56 47 39 32 21 15 15 16 14 8 2 0 3 15 31 31 23 9 9 20 34 45 56 64 68 68 60 50 43 33 20 11 9 7 3 0 0 0 0 0 0 10 21 24 28 42 68 101 130 153 167 174 174 157 129 108 100 94 94 99 105 111 116 122 129 134 137 134 129 128 125 118 111 104 95 81 58 39 32 29 27 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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