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 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 7 7 6 5 3 2 2 2 3 3 3 3 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 5 5 5 5 6 5 4 5 6 8 8 8 8 7 6 5 4 3 3 2 1 2 5 4 5 7 9 -3 -1 4 3 3 5 3 9 11 7 3 3 2 5 8 8 3 4 9 7 3 9 11 6 2 2 3 4 2 4 13 17 6 -1 5 8 4 4 3 -1 4 6 -0 -3 -1 1 2 6 12 8 0 0 4 5 2 -1 -0 4 6 4 5 20 37 32 16 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 9 9 8 6 4 4 4 4 4 4 6 9 10 6 5 4 5 5 5 5 4 3 2 2 6 8 5 5 5 5 5 5 5 6 6 0 -3 2 4 3 3 4 5 5 6 7 7 7 6 6 7 7 8 9 8 6 5 6 7 7 6 4 3 3 4 4 4 4 4 5 5 5 5 7 7 9 11 14 13 12 10 9 7 5 5 5 6 6 7 7 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 8 18 28 20 9 7 10 7 -0 0 -4 -5 -10 -3 4 -1 -0 5 4 3 2 2 -0 -5 -9 -7 -4 -6 -6 -2 2 4 5 6 7 8 10 14 16 15 9 6 7 7 7 7 8 8 7 7 7 7 7 5 3 3 7 9 8 6 5 5 5 4 2 2 2 2 1 2 3 6 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 2 3 4 4 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 6 6 6 5 4 3 2 2 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 3 3 3 3 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 5 5 4 5 6 5 5 5 6 5 5 5 4 5 5 6 6 4 5 6 7 8 9 8 8 6 6 4 3 2 1 1 3 5 5 7 14 12 -1 2 3 6 7 7 4 5 4 3 4 5 2 5 14 13 7 5 5 5 5 11 13 9 5 4 4 5 4 5 10 16 14 7 5 7 10 13 7 3 8 9 3 -1 -2 -3 0 7 12 7 0 1 4 5 5 6 8 7 8 12 20 30 33 21 10 6 5 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 8 8 8 8 8 8 6 5 4 4 4 4 4 3 2 5 9 7 5 4 4 4 4 4 3 1 2 4 8 7 5 5 5 5 4 4 4 5 3 -7 -8 1 3 2 2 4 5 6 7 7 7 6 6 6 7 8 9 8 7 5 6 7 7 6 4 3 2 3 4 4 4 4 4 5 5 5 5 6 7 8 11 14 14 12 10 8 6 4 5 5 6 6 6 7 6 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 9 18 24 23 17 14 9 9 11 7 -1 0 2 4 3 3 3 6 7 6 4 2 3 2 -0 1 -1 -3 -3 -0 3 4 5 5 6 7 8 8 9 8 5 4 5 4 4 5 5 5 7 7 8 9 8 8 10 11 11 9 6 5 6 5 3 2 2 2 2 2 2 4 7 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 2 2 3 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 6 6 5 4 3 2 1 1 1 2 2 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 4 3 3 4 4 4 4 3 4 4 3 3 3 3 3 4 3 3 4 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 5 5 5 5 4 5 5 6 6 6 5 5 5 4 4 3 3 3 4 4 5 4 5 5 6 6 5 6 6 6 5 4 5 5 5 6 5 5 6 7 8 8 8 7 7 6 4 3 -1 -2 3 5 2 5 8 17 12 3 3 2 6 11 10 5 1 0 -0 4 9 5 6 14 13 7 4 2 2 5 11 11 9 7 5 6 7 8 14 14 10 11 11 8 6 11 12 5 6 10 11 7 2 -4 -4 3 8 8 7 6 5 5 5 5 6 8 7 10 21 33 32 20 10 6 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 6 6 6 7 7 8 8 8 8 6 6 5 4 4 4 4 4 2 1 1 0 4 5 4 4 4 4 3 3 3 5 8 8 6 5 4 5 4 4 4 4 4 3 -9 -15 -5 2 -0 -3 1 6 6 6 6 6 6 5 6 9 10 10 8 5 5 5 6 6 4 2 2 2 3 4 5 5 4 4 4 5 5 5 6 7 8 11 13 14 12 9 6 5 4 4 5 5 6 6 7 6 6 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 4 3 3 6 13 19 21 17 9 7 7 6 3 3 3 4 5 5 3 5 6 5 5 5 6 7 5 4 4 3 2 2 3 4 4 5 5 6 6 6 6 7 5 5 5 5 4 4 5 5 5 6 7 8 9 10 12 12 11 9 6 6 5 5 4 3 2 3 2 2 2 4 6 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 2 1 2 2 3 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 2 1 1 1 1 2 2 2 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 5 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 4 5 4 4 4 5 5 6 5 6 6 6 5 5 5 5 5 5 6 5 6 7 7 8 9 8 7 6 5 2 -4 -8 1 5 -2 -0 4 10 9 6 4 5 3 7 10 5 -1 0 2 6 7 4 5 9 9 5 5 1 -1 6 11 8 8 8 5 6 7 8 12 13 13 13 11 8 8 8 2 -0 5 11 12 7 1 -3 0 6 6 6 9 9 7 5 4 3 5 6 10 21 33 33 21 10 6 5 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 3 2 1 0 0 5 6 5 5 4 4 3 4 5 7 8 7 5 4 4 5 4 4 4 4 3 4 -1 -12 -11 0 4 -3 -2 5 7 7 6 6 5 5 7 11 13 10 7 5 4 6 5 4 3 2 1 2 3 4 5 5 4 4 4 4 5 5 6 7 9 10 12 13 10 7 5 4 4 4 4 5 5 6 6 6 6 6 5 4 4 3 4 4 4 4 4 4 3 3 4 4 3 2 1 1 1 -0 1 6 13 16 11 7 7 6 3 1 2 3 4 6 5 4 7 6 5 5 6 6 4 5 7 6 5 4 4 5 5 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 8 10 11 12 11 9 7 5 5 5 4 3 3 3 3 2 2 2 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 3 2 2 1 1 2 3 5 6 6 5 4 4 4 5 5 6 6 5 5 5 4 4 4 5 5 4 3 2 1 1 1 2 2 2 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 4 5 5 5 5 5 6 6 6 5 5 5 4 4 3 4 4 5 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 5 6 6 5 6 7 8 9 8 7 6 5 3 -3 -9 -4 2 2 2 4 5 3 9 7 6 2 2 9 6 0 0 7 10 2 -1 0 4 6 6 7 3 0 7 8 2 2 6 5 5 4 3 6 8 15 17 11 6 5 3 2 3 5 7 8 4 0 3 10 8 5 8 10 9 6 4 2 2 3 7 16 29 31 21 10 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 4 3 2 2 5 9 8 6 6 4 3 4 4 4 6 7 6 6 5 5 4 4 5 5 5 5 5 5 4 -3 -11 -5 8 7 2 5 8 7 6 5 4 4 6 11 14 11 6 4 4 5 5 3 3 2 2 2 3 4 5 5 4 4 4 4 4 5 6 7 8 9 11 11 9 6 5 4 4 3 3 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 2 1 0 -2 -3 -3 -3 -4 -2 3 9 10 8 7 6 4 3 4 5 4 5 4 4 7 11 9 5 7 8 8 7 6 5 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 7 8 9 11 12 13 11 8 6 5 4 5 4 4 4 3 2 1 1 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 4 3 2 2 1 1 1 2 4 5 6 6 5 4 4 4 5 6 6 6 6 5 5 4 4 4 5 4 4 3 2 1 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 3 3 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 4 4 5 5 5 6 6 6 7 6 6 6 7 8 7 6 5 5 5 5 6 6 6 6 7 8 8 9 7 7 6 4 -0 -7 -6 2 6 7 9 5 1 9 11 6 4 1 6 7 3 2 8 11 3 1 1 1 2 7 9 6 3 7 4 -3 -3 0 5 7 1 -5 3 5 10 10 7 4 2 3 8 9 3 1 6 4 3 11 13 9 8 11 9 7 6 4 2 2 3 7 17 23 18 9 5 4 5 5 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 6 6 6 6 6 6 5 4 3 3 4 6 10 8 6 6 4 4 4 4 5 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 3 -4 -10 -2 9 9 8 8 7 6 5 4 4 5 8 11 10 6 4 4 4 4 3 3 3 2 2 3 4 5 6 5 4 3 4 4 5 5 6 7 8 10 10 7 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 3 3 2 1 1 -1 -3 -6 -4 -3 -5 -3 1 4 6 6 6 4 5 6 7 6 3 3 4 3 4 12 12 8 7 9 8 6 4 3 4 4 4 4 3 3 3 4 4 5 5 6 6 7 7 7 6 6 6 6 6 7 7 7 7 9 10 12 14 15 12 9 6 5 3 4 4 3 3 2 0 0 1 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 5 4 3 3 3 2 1 1 2 4 5 5 5 5 4 4 4 5 7 7 6 6 5 5 4 4 4 5 4 4 3 3 2 2 2 2 2 2 3 4 4 4 4 4 5 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 5 5 5 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 5 6 6 5 5 5 5 5 6 5 6 6 7 7 7 6 6 7 8 7 5 5 5 5 5 6 6 6 6 7 8 9 9 8 7 6 5 2 -4 -6 -1 3 6 8 5 2 6 8 6 6 4 4 7 8 5 8 7 2 3 7 5 1 4 8 7 2 3 2 1 0 2 6 7 -3 -7 2 4 3 -0 1 1 4 6 3 3 2 4 6 -2 3 12 13 10 8 8 6 4 5 4 3 3 4 9 15 14 8 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 5 5 5 6 6 6 6 5 4 4 5 6 9 8 5 5 4 5 5 6 6 6 6 4 4 5 5 5 5 5 5 5 5 5 5 5 5 2 -6 -11 -3 7 10 9 7 6 5 4 4 4 5 6 7 7 5 4 4 3 3 3 3 3 3 3 4 4 5 6 5 4 3 4 4 5 5 6 7 8 8 7 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 3 4 2 0 -2 -1 1 -1 0 4 4 4 5 5 3 3 8 8 6 5 2 2 1 4 9 10 7 5 6 7 6 3 3 3 3 2 2 3 2 1 1 3 4 5 5 6 8 8 8 8 7 6 6 6 6 6 7 7 8 9 11 14 17 18 15 11 6 3 4 4 4 3 2 1 1 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 nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 6 5 4 4 4 3 3 1 0 1 3 4 5 5 5 4 4 4 4 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 2 3 2 2 3 3 4 4 4 4 5 6 5 4 4 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 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 5 6 6 6 6 5 6 6 6 6 7 8 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 7 8 9 9 8 7 6 5 3 0 -4 -4 1 2 3 3 4 9 8 4 4 5 2 6 9 8 8 3 -0 2 7 9 5 3 5 6 1 1 3 5 6 8 9 2 -8 -2 6 7 7 1 -2 -3 4 7 4 2 1 6 5 -4 0 8 10 8 8 8 6 4 3 2 4 6 8 14 17 11 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 5 5 5 5 4 4 4 4 4 5 5 5 6 5 4 4 5 4 7 11 8 5 5 5 5 6 7 6 4 4 4 5 5 5 4 4 5 5 4 5 5 5 5 5 2 -5 -8 2 9 8 7 5 5 4 4 3 3 4 5 5 5 4 4 3 3 3 4 4 4 4 3 4 4 6 5 5 4 4 4 5 5 5 6 7 7 7 6 5 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 4 3 3 2 4 8 6 4 3 2 3 3 3 5 5 4 3 4 4 5 7 7 6 8 7 4 0 3 6 7 5 5 5 6 4 4 3 3 2 1 1 4 4 -1 -3 -1 3 4 4 5 7 9 9 9 8 6 6 6 5 6 6 7 8 8 10 13 17 20 21 18 9 4 4 3 3 3 4 3 3 2 2 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
nan nan nan nan nan nan nan 5 5 6 5 5 5 4 4 4 2 1 1 1 2 4 5 5 5 4 4 3 5 5 6 6 5 5 5 6 6 5 5 4 4 3 3 3 3 3 3 3 2 3 4 4 4 5 5 5 5 4 4 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 5 4 4 4 4 4 3 4 5 4 4 4 4 4 5 6 5 5 4 4 4 4 4 5 6 6 6 5 5 5 5 4 4 5 6 7 6 6 6 6 6 7 6 6 6 6 7 7 8 7 7 7 6 7 7 6 6 6 5 5 5 5 6 7 7 7 8 9 9 9 8 6 5 5 2 -2 -4 -0 2 3 4 7 10 9 8 10 10 4 3 5 9 10 5 4 3 3 12 9 5 4 4 1 1 3 7 11 13 13 -1 -9 3 9 9 12 12 1 -4 0 3 5 7 9 12 7 2 0 5 4 3 7 8 5 4 3 3 5 8 13 19 17 8 4 3 3 4 3 4 3 3 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 3 7 16 17 11 8 7 6 6 6 5 4 4 5 5 5 5 4 4 4 4 4 5 5 6 7 7 7 2 -6 -2 6 7 6 6 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 5 6 5 4 3 4 5 5 5 5 5 6 6 7 6 5 3 2 1 3 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 3 4 5 5 4 7 7 5 6 4 2 3 5 5 4 4 2 2 6 9 8 5 6 9 9 5 2 3 5 5 5 5 5 4 4 4 4 3 2 2 2 7 9 4 -1 -4 -2 3 3 4 5 8 9 9 8 7 5 5 6 6 6 7 7 8 8 11 14 16 18 20 15 7 4 3 4 5 5 5 5 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 6 6 6 6 5 6 5 4 2 1 0 1 2 3 4 5 5 4 3 4 5 5 6 6 6 5 6 7 7 6 5 4 3 3 2 3 3 4 3 2 3 3 4 4 4 4 4 5 4 3 3 3 3 2 2 2 3 3 3 3 3 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 6 6 6 6 5 5 5 4 4 5 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 5 5 4 5 5 5 7 8 8 8 9 9 9 8 7 6 5 4 1 -2 -0 4 5 5 6 5 3 8 12 12 8 3 3 6 9 7 9 6 1 10 14 9 6 5 1 -0 3 6 10 11 9 -2 -4 3 8 11 16 15 1 0 2 3 5 5 10 15 6 6 2 4 4 6 9 8 5 3 4 5 7 9 15 19 14 6 4 3 3 3 3 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 6 13 18 18 16 14 12 10 9 7 5 6 7 6 5 5 5 5 4 4 4 5 6 7 7 7 8 5 -1 -2 3 6 6 6 5 4 3 2 3 3 3 4 4 5 5 4 4 4 4 4 5 4 4 4 4 5 6 5 5 3 3 4 5 5 5 5 5 6 7 7 6 5 3 0 1 2 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 6 11 8 4 5 5 6 5 3 3 4 5 5 5 6 6 9 12 10 7 5 7 9 7 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 8 11 8 4 2 -1 1 3 4 4 5 6 7 7 7 6 6 6 6 6 6 7 7 7 9 11 12 13 15 13 8 4 4 5 6 7 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 6 6 6 6 6 6 7 6 6 4 3 1 1 1 2 3 5 6 5 4 2 3 4 5 6 6 6 6 7 7 7 6 5 3 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 4 4 3 3 3 2 2 3 3 2 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 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 6 5 5 5 5 4 5 5 6 7 7 7 7 7 8 7 7 7 7 8 8 8 9 9 8 7 7 7 6 6 6 5 5 5 5 5 5 6 8 9 9 9 9 10 9 7 6 5 4 2 1 -1 3 7 7 4 2 2 7 9 6 2 1 3 6 6 7 9 7 3 5 14 14 11 6 0 -0 5 8 7 3 3 -1 -0 3 5 11 16 10 -2 3 4 5 6 7 11 5 -1 3 4 7 9 11 12 10 7 4 4 5 6 8 15 17 10 5 4 3 3 3 4 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 3 4 4 5 4 4 5 5 4 3 3 2 2 2 2 2 1 1 2 4 10 16 18 19 19 17 15 14 12 13 11 9 6 5 5 5 6 6 6 8 8 9 8 8 9 8 3 0 2 5 5 5 5 6 4 3 2 2 3 3 4 4 4 5 4 4 4 5 5 5 4 4 4 4 5 5 3 1 1 3 4 5 5 5 5 5 6 7 7 8 7 4 -0 -1 -0 3 4 5 5 5 4 5 4 4 4 4 4 3 2 1 5 14 12 6 5 5 5 5 5 4 5 6 7 8 8 8 10 12 11 8 7 7 7 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 6 8 6 3 5 4 2 3 4 4 4 5 5 6 7 7 7 7 7 6 6 6 6 6 8 9 10 11 11 11 9 6 5 5 6 6 6 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 6 6 6 7 7 7 7 7 6 4 2 2 2 3 4 5 5 5 3 2 2 3 5 6 6 6 6 7 7 6 6 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 2 2 2 2 3 3 3 3 2 2 3 2 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 3 4 4 3 3 3 3 3 3 4 4 5 4 4 5 5 6 6 6 6 5 4 5 6 6 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 8 7 7 7 6 5 6 6 6 6 6 6 5 6 8 10 9 8 9 10 9 8 6 5 3 3 2 -1 2 7 7 2 1 5 7 8 5 2 2 3 4 5 7 7 4 4 2 8 14 14 7 0 2 12 17 5 -4 -1 2 2 2 2 6 9 2 -1 4 6 7 6 8 6 4 3 3 3 6 9 10 9 9 8 6 4 4 6 10 17 15 7 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 3 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 5 5 4 4 3 3 2 2 2 1 1 1 1 2 4 7 10 13 15 16 17 18 19 18 16 13 11 8 7 8 10 12 14 15 15 15 14 13 12 9 5 1 3 4 5 5 6 6 6 5 4 3 2 2 3 3 5 5 5 5 5 5 6 6 5 5 4 4 5 6 3 -4 -6 -1 3 5 5 5 5 5 5 6 6 8 9 9 6 0 -3 -3 1 4 5 4 3 2 3 2 0 -2 -1 0 -1 -0 6 13 12 7 5 4 4 4 6 6 6 7 8 8 8 6 6 8 9 7 7 8 8 8 8 7 6 6 5 6 6 6 6 5 6 6 5 5 4 4 4 4 3 4 4 3 4 4 4 5 5 5 6 7 7 8 9 8 6 5 5 6 7 7 7 7 10 14 19 20 15 8 5 4 4 5 6 6 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 5 5 6 5 5 4 5 6 6 7 7 8 8 6 5 3 2 2 3 4 5 5 4 3 3 3 4 5 6 6 5 5 6 7 6 6 4 4 3 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 4 5 4 4 5 5 5 5 6 7 7 6 4 4 5 4 4 4 4 5 5 5 6 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 7 7 7 7 6 7 8 10 9 9 9 10 10 9 6 5 4 4 3 2 2 4 5 -1 2 8 6 -0 4 9 10 5 2 3 7 6 2 1 -0 2 9 14 10 3 5 14 19 8 -2 0 4 4 3 2 2 -1 -6 -0 2 7 7 5 5 1 5 8 5 1 -0 7 10 8 9 8 6 4 3 8 17 20 13 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 3 3 3 4 4 5 5 4 4 4 3 3 3 3 3 2 2 3 3 3 3 4 5 6 8 10 12 13 12 12 13 13 15 17 18 19 21 22 20 17 16 16 18 16 12 4 1 3 4 5 6 6 6 7 7 6 5 4 3 3 3 4 5 5 5 5 6 6 7 6 5 4 4 5 8 7 -2 -13 -11 -1 4 5 5 5 5 5 5 5 6 8 11 12 8 1 -6 -7 -2 3 4 1 -2 -2 -1 -1 -5 -6 -5 -4 0 6 10 9 6 5 4 4 5 7 7 6 7 7 5 6 6 4 4 5 6 6 7 8 9 9 8 8 7 6 6 6 6 6 6 5 6 6 5 5 4 4 3 4 5 5 3 3 4 4 4 5 5 6 7 8 10 9 7 6 5 5 7 8 7 6 6 9 17 28 35 28 14 5 3 3 4 5 6 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 5 5 4 4 4 5 5 6 6 7 7 7 7 5 4 3 2 2 3 4 5 4 4 3 4 4 5 5 4 4 4 6 6 6 6 5 4 4 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 3 4 4 5 5 4 5 5 5 6 7 7 7 5 4 4 4 4 4 4 5 5 5 6 7 7 7 7 8 8 9 10 10 11 11 10 10 10 9 9 8 8 7 7 6 6 6 7 7 7 7 7 8 9 10 9 10 11 10 10 9 7 5 4 4 5 7 3 2 3 -2 3 8 7 -2 7 14 10 4 2 2 6 6 4 3 0 -1 5 11 12 9 9 9 6 5 5 7 8 5 6 4 1 -2 -5 1 4 7 7 7 4 4 5 8 5 2 4 7 9 10 10 7 6 5 4 11 21 18 9 4 3 3 3 3 3 3 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 5 5 5 4 4 3 3 3 4 4 4 4 4 5 5 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 5 4 4 5 6 9 17 23 24 21 17 15 12 9 8 10 12 13 10 3 3 4 4 5 6 6 6 7 7 7 7 6 4 3 1 1 4 4 1 2 5 7 8 7 6 5 5 6 10 14 8 -3 -10 -5 2 4 5 6 5 4 5 5 5 6 8 12 14 10 1 -8 -10 -4 2 -0 -4 -5 -3 -1 -2 -3 -4 -3 3 5 5 5 5 5 5 5 5 8 11 8 7 6 4 5 6 5 5 4 4 5 6 7 9 10 10 9 8 7 7 7 7 7 6 5 5 5 5 4 4 4 4 4 5 6 4 4 5 4 4 5 5 6 7 9 9 8 7 6 5 6 8 9 9 8 7 7 14 27 37 32 17 6 4 4 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 4 4 3 4 4 5 5 5 6 8 7 7 7 5 3 2 2 2 4 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 5 4 4 4 4 5 6 8 8 6 4 3 3 3 3 4 5 5 5 6 7 6 7 8 9 9 9 10 12 12 11 11 11 12 11 10 9 8 7 7 7 6 6 7 7 7 7 8 9 10 10 10 11 12 11 10 9 7 5 2 3 5 8 3 4 4 5 6 2 1 3 8 11 7 9 5 2 3 5 4 7 7 4 3 8 11 10 10 6 -1 -1 5 7 6 5 7 6 5 4 3 5 8 9 9 8 4 9 9 9 6 8 9 7 6 8 10 7 5 6 5 15 22 14 6 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 2 3 2 1 1 2 5 11 16 17 12 6 4 5 4 3 2 3 6 5 3 4 4 5 5 6 6 7 7 7 7 7 7 7 6 2 -2 2 4 -4 -8 -3 3 7 8 8 7 6 6 11 18 16 8 3 -1 1 4 5 5 5 4 4 4 3 4 4 6 11 14 10 -2 -11 -9 -4 -4 -5 -3 -1 0 2 3 3 3 4 4 3 3 5 6 5 4 4 7 12 10 7 5 5 5 6 6 5 4 4 4 5 6 7 9 10 9 9 8 8 8 8 7 7 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 9 10 8 7 6 6 6 7 9 10 12 12 9 6 9 16 24 23 15 9 7 5 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 3 3 4 4 4 4 4 3 3 4 5 6 7 8 7 7 5 4 2 1 3 4 5 5 4 4 4 4 4 4 4 3 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 6 7 8 7 5 4 3 2 3 4 5 5 5 6 7 7 7 9 9 10 10 12 13 13 12 11 12 13 13 11 9 8 7 6 6 6 6 6 7 8 9 10 11 11 11 11 12 12 12 11 9 6 3 0 1 5 6 3 5 7 13 8 3 0 8 4 7 8 14 9 6 3 4 1 3 8 10 4 3 8 9 8 2 -1 3 7 2 1 6 8 8 8 7 7 8 9 10 10 7 7 14 11 9 6 9 8 5 5 7 7 5 5 6 10 19 20 9 4 4 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 2 2 1 1 2 4 8 10 8 5 4 4 5 4 3 1 1 2 3 3 4 4 5 5 5 6 6 6 6 7 7 8 8 10 9 3 3 8 2 -12 -16 -7 3 6 7 7 6 6 9 17 19 10 6 5 2 3 4 5 5 4 2 0 -0 -0 -0 -1 2 8 10 4 -5 -7 -4 -3 -2 -1 1 2 4 5 6 6 5 5 4 5 7 7 5 4 1 -1 5 7 5 5 5 5 7 7 5 5 4 4 4 5 6 7 8 8 8 9 9 9 9 8 8 7 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 6 9 10 8 6 6 6 6 7 9 12 14 15 12 8 6 7 10 10 12 12 8 4 3 3 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 nan nan nan nan
nan nan nan nan nan 2 2 2 3 3 2 3 4 3 4 3 3 3 4 5 6 7 7 7 6 5 4 3 2 2 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 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 3 4 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 8 7 6 5 3 3 3 3 4 5 5 5 6 7 8 9 10 10 12 15 17 15 12 11 11 12 12 11 9 8 7 6 6 6 6 6 7 8 11 12 13 13 12 12 13 13 12 11 9 5 1 -2 0 5 5 3 5 9 12 8 7 7 10 4 9 12 13 9 10 8 7 3 0 6 5 0 0 4 8 9 2 -2 5 6 1 1 5 8 10 7 2 5 10 9 8 7 6 8 11 7 5 6 8 3 0 4 5 6 5 5 7 15 22 17 7 3 3 3 3 3 4 3 4 4 5 5 5 5 4 4 4 3 3 3 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 2 4 6 8 6 5 5 5 5 5 4 2 1 2 3 4 5 4 4 4 5 6 6 6 6 6 7 7 8 10 12 11 9 13 13 2 -12 -17 -9 -1 1 2 3 5 7 10 14 11 6 4 3 3 3 4 3 2 -0 -3 -6 -5 -3 -5 -6 -2 4 5 3 3 3 4 2 -0 1 1 2 4 4 4 6 6 7 7 8 9 8 7 5 -2 -1 4 4 5 4 5 6 7 7 6 5 5 5 5 6 6 6 6 7 8 8 8 8 8 8 8 8 7 6 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 7 9 9 7 6 6 6 7 9 11 15 18 18 12 5 3 3 4 7 11 9 5 3 4 3 3 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 2 3 3 3 3 2 2 3 3 4 3 3 4 4 4 5 6 6 7 7 6 5 4 3 2 3 4 5 6 7 7 6 6 5 5 5 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 3 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 3 3 4 5 5 5 6 7 7 7 5 4 4 3 4 4 5 5 5 6 7 8 9 10 12 15 18 19 16 12 10 10 11 11 10 8 7 6 6 6 5 6 7 8 10 11 13 14 14 13 13 13 12 12 10 8 4 -1 -3 0 4 4 5 7 8 8 8 3 6 10 11 7 10 7 4 11 11 11 7 3 6 -3 -6 -0 1 6 11 5 1 4 6 5 2 1 6 10 5 -4 -1 6 9 6 5 6 7 5 2 1 5 6 2 -1 2 3 5 6 5 7 16 23 14 6 4 3 3 4 4 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 3 2 2 2 1 1 1 3 5 6 6 5 5 5 5 4 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 6 6 6 7 8 9 10 11 15 16 10 -0 -13 -16 -11 -9 -7 -5 -1 5 7 9 9 7 5 4 3 2 1 -0 -2 -2 -3 -7 -8 -4 -3 -6 -5 0 5 7 8 6 7 7 5 4 3 3 5 6 5 6 11 13 10 8 6 7 9 7 4 2 4 4 5 4 4 5 6 7 7 6 5 4 4 5 6 6 5 5 6 7 7 7 7 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 4 3 3 3 5 6 8 9 8 7 6 7 7 8 10 14 18 21 19 11 4 2 2 4 7 7 7 5 5 4 3 3 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 2 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 5 5 6 7 6 6 6 5 4 3 3 4 6 8 8 8 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 4 3 3 3 3 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 4 3 3 4 5 5 6 6 6 7 7 5 5 4 4 4 5 5 5 5 6 7 8 9 11 14 18 21 20 16 13 11 10 10 10 8 7 6 5 5 5 5 5 6 7 10 12 13 14 14 14 14 13 12 11 10 7 3 -2 -2 2 6 6 8 8 4 4 7 3 5 3 8 1 5 3 2 8 7 8 10 8 6 -3 -7 -1 -1 3 10 10 8 7 6 7 3 -1 2 7 3 -2 -1 3 9 7 5 6 7 4 2 1 4 3 3 4 4 3 4 5 3 7 20 23 12 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 3 3 3 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 2 3 5 5 5 5 5 4 3 3 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 8 9 14 16 10 3 -1 -6 -7 -9 -11 -12 -10 -3 2 5 7 7 7 6 5 3 1 0 0 -1 -0 -0 -2 -2 1 2 1 2 5 6 7 7 6 7 9 9 8 7 9 13 11 9 12 14 11 9 4 2 5 5 4 4 4 4 5 5 4 4 4 5 6 7 6 3 3 5 5 6 5 4 5 5 5 6 6 7 7 8 8 9 9 7 6 6 6 6 4 4 4 5 4 3 3 3 4 6 8 8 8 7 6 6 6 7 8 11 14 18 21 17 8 4 3 5 5 4 5 6 5 4 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 nan nan nan
nan nan nan nan 2 2 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 7 7 6 5 5 4 5 6 8 8 5 4 4 4 4 4 4 3 3 3 3 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 4 3 4 4 5 6 6 6 7 7 5 5 4 4 5 5 5 5 5 6 7 8 10 13 16 20 22 20 17 13 11 10 10 10 9 7 6 5 5 5 5 5 5 7 9 12 13 14 14 14 13 12 11 10 9 5 0 -2 -2 3 7 8 7 6 2 2 3 5 7 6 8 -0 -2 1 7 4 5 2 8 16 16 6 -0 -3 -3 2 4 4 7 6 3 2 3 2 3 5 4 4 4 6 7 5 5 6 4 4 7 5 3 1 4 11 7 3 2 3 3 8 23 23 10 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 3 3 3 4 3 3 3 3 3 3 4 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 5 4 4 4 3 2 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 6 6 7 9 13 20 18 8 4 3 3 2 -3 -7 -12 -12 -7 -1 4 6 6 6 8 6 4 6 7 4 3 5 6 6 5 6 6 6 6 5 5 7 6 4 3 8 11 10 11 16 15 12 11 9 8 9 6 2 2 3 4 4 4 5 5 5 4 4 4 3 4 7 7 3 2 3 5 6 6 5 5 4 4 5 5 6 6 6 7 8 8 8 7 6 7 8 5 3 4 5 5 4 4 3 4 6 7 7 7 6 6 6 5 6 7 8 10 13 15 15 12 7 5 5 5 4 3 3 4 4 4 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 nan nan nan nan
nan nan nan nan 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 4 4 4 4 5 5 5 5 7 7 8 7 6 5 4 5 7 6 5 4 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 5 6 5 4 4 4 5 6 6 5 6 6 6 5 4 5 5 5 5 6 6 7 8 8 11 15 19 20 20 19 16 13 10 8 8 10 10 8 6 6 6 5 5 5 5 6 10 13 14 13 13 13 12 10 9 8 7 4 -1 -4 -2 2 6 7 6 6 4 2 2 5 8 19 13 2 -4 1 10 5 3 -2 3 21 25 15 7 -3 -3 2 -0 -1 7 7 2 2 3 5 6 5 4 6 7 6 3 4 7 7 2 2 13 13 4 3 7 10 7 5 4 3 5 11 23 22 9 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 5 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 3 3 2 2 3 3 5 5 5 4 4 4 3 4 4 4 5 5 5 6 6 6 5 5 5 7 10 18 24 22 11 4 7 9 6 3 -2 -7 -10 -10 -3 1 1 2 5 7 7 8 8 6 6 7 7 8 7 7 7 7 7 7 6 7 6 3 -2 3 8 7 10 15 14 10 6 5 5 6 6 3 2 3 4 4 5 6 6 5 5 4 4 3 4 5 6 5 2 2 4 5 6 7 6 5 4 4 4 4 4 5 5 5 7 8 8 8 7 8 7 5 5 5 6 5 4 5 5 6 7 7 6 5 4 5 5 5 6 7 8 9 10 9 9 9 8 6 4 2 2 2 2 3 4 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 3 2 3 2 2 2 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 6 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 2 3 3 3 3 3 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 5 6 5 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 7 7 8 12 18 21 17 15 16 15 12 8 5 6 8 9 9 8 8 7 6 5 5 5 6 11 13 14 13 11 11 11 9 8 7 5 1 -3 -3 -1 1 6 8 5 5 3 3 5 5 5 14 13 6 -0 1 8 6 2 -3 -3 19 23 16 9 -1 -1 3 1 2 9 10 3 4 4 3 3 5 5 4 8 7 3 4 7 9 7 4 10 11 4 6 9 6 5 6 5 3 6 14 24 20 8 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 5 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2 2 2 2 2 1 1 1 1 2 3 4 4 4 4 3 3 4 4 4 4 5 5 6 6 5 5 5 5 5 7 11 18 26 23 13 14 14 10 8 5 4 0 -8 -9 -6 -6 -4 -0 2 2 2 2 4 6 6 4 5 6 7 6 6 9 11 9 6 7 9 3 1 4 5 8 14 14 8 3 3 4 4 4 3 4 4 5 6 6 7 7 7 6 5 5 4 4 4 5 6 4 2 2 4 6 6 6 5 4 4 4 4 4 5 5 2 3 7 8 9 9 8 7 7 6 6 6 6 5 6 6 7 7 6 5 3 3 4 4 4 5 6 7 7 7 6 6 8 8 6 5 4 3 3 3 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 6 5 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 5 6 6 5 5 5 4 4 5 5 4 4 4 4 4 4 3 3 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 4 4 4 3 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 6 5 4 4 4 5 5 5 5 6 6 5 5 4 5 5 6 6 7 7 7 8 14 21 19 10 7 11 12 10 5 3 4 7 9 9 9 9 8 6 5 5 5 7 10 13 13 12 11 10 9 7 6 5 1 -3 -2 -0 -1 1 7 9 5 2 1 7 9 7 4 7 9 7 3 5 9 10 5 -2 -1 14 15 9 5 3 4 3 3 4 7 9 8 6 6 3 3 7 6 4 8 9 5 4 6 9 9 6 7 5 5 9 9 4 3 4 4 4 5 14 24 21 8 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 5 5 5 5 4 3 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 1 0 1 1 2 3 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 5 6 8 14 21 24 23 24 19 13 8 8 8 2 -5 -5 -4 -3 -1 0 -1 -1 0 3 6 6 3 4 6 6 5 5 10 14 12 9 11 12 8 3 3 4 8 13 13 7 3 2 3 3 3 3 3 5 6 7 7 8 8 8 7 7 6 5 4 4 4 5 5 3 2 3 4 5 6 5 5 4 4 4 4 5 8 4 2 6 8 10 11 10 9 8 7 6 6 6 7 7 7 7 7 7 5 4 4 4 4 5 6 6 7 7 6 5 6 7 6 5 5 5 4 4 4 4 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 8 8 8 7 7 7 6 5 5 4 3 3 3 3 3 4 4 4 4 3 2 2 2 3 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 3 3 3 2 2 3 3 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 5 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 6 6 6 5 4 5 4 5 5 5 5 6 5 5 5 5 5 5 6 7 7 7 9 16 25 17 0 -2 5 8 7 3 2 4 6 8 8 8 8 8 6 5 4 5 7 10 13 13 12 10 9 7 5 4 1 -5 -5 1 -0 -4 3 9 10 7 2 1 7 9 8 6 6 9 7 3 6 9 11 8 1 2 7 6 3 4 6 7 4 3 4 5 7 9 8 5 4 6 8 8 8 11 12 7 4 5 8 8 6 7 8 9 12 7 3 3 5 5 4 3 9 21 25 13 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 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 5 4 4 5 4 3 4 3 4 4 4 4 4 5 5 4 4 3 2 2 1 1 2 2 2 3 4 4 4 4 4 4 4 3 3 4 5 5 6 6 6 5 5 4 5 5 5 4 5 6 10 15 19 24 25 21 15 13 15 12 9 9 5 3 4 7 5 3 5 9 8 7 10 9 7 8 6 6 12 16 13 12 12 10 6 3 4 6 9 12 11 6 3 3 3 3 3 3 4 5 6 7 8 8 8 8 8 8 7 7 6 5 5 5 5 4 2 1 3 4 5 5 5 4 3 4 4 4 5 6 4 5 7 9 11 11 11 9 8 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 8 8 8 7 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 6 7 7 7 7 7 7 7 6 5 4 3 3 3 4 4 5 5 4 3 3 2 3 2 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 2 3 3 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 3 4 5 6 5 4 4 5 5 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 5 6 6 7 8 9 10 18 28 13 -9 -7 1 5 5 3 4 6 7 8 7 7 7 8 7 5 4 5 7 10 12 13 11 9 7 5 4 1 -5 -8 -2 2 2 1 6 7 9 9 6 5 7 7 7 4 4 8 7 5 4 4 6 9 4 2 1 1 3 8 10 8 9 7 5 5 4 5 7 4 2 5 7 7 10 13 11 6 4 5 6 5 5 9 12 14 15 8 4 4 5 5 4 3 5 15 27 20 6 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 4 5 4 5 5 6 8 12 18 21 20 19 21 21 22 24 19 9 7 12 12 8 11 17 15 11 17 17 10 11 9 5 10 13 10 7 6 5 3 3 4 6 10 12 9 5 4 4 4 3 3 3 4 4 6 7 7 8 8 9 9 8 8 7 7 6 5 5 5 5 3 1 1 3 5 5 5 4 3 3 4 4 4 5 4 5 6 7 8 11 11 11 10 9 8 7 6 7 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 5 5 5 3 3 2 1 1 1 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 4 4 3 4 4 4 4 5 6 6 5 4 4 3 2 2 3 4 4 5 5 5 4 4 4 3 3 3 2 3 4 4 5 4 3 4 3 3 3 4 4 4 3 2 2 2 3 4 3 4 5 5 5 5 4 4 4 3 3 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 5 5 4 4 4 4 5 5 6 4 4 5 5 6 6 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 9 11 13 20 25 7 -9 -9 0 5 4 4 6 9 8 8 7 7 7 7 6 6 5 6 7 10 12 12 10 7 5 4 1 -4 -8 -3 2 2 3 6 7 3 4 8 10 8 8 8 6 4 4 4 5 9 7 3 1 6 7 4 4 5 7 11 11 9 10 9 9 6 3 2 4 7 3 3 5 4 7 9 6 4 4 4 1 -2 4 13 15 18 18 11 6 5 4 2 3 3 3 14 27 22 7 4 4 4 4 5 5 5 5 5 5 5 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 5 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 6 6 6 6 7 7 8 7 7 7 6 5 5 5 4 5 5 5 5 5 4 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 9 12 15 15 16 17 17 21 24 19 12 16 16 11 11 15 17 18 18 18 15 13 11 6 5 7 5 3 2 3 2 3 4 6 9 10 8 6 5 4 4 4 4 4 4 5 5 6 7 7 8 9 10 10 8 8 8 7 6 4 4 5 5 3 2 2 3 4 5 4 3 2 2 4 5 5 5 4 4 6 7 9 10 11 11 11 9 8 7 6 6 6 6 6 7 8 8 9 9 8 8 9 9 10 10 10 10 10 8 6 5 5 4 3 1 0 -1 -1 -0 0 1 2 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 4 4 3 2 2 2 2 4 5 5 6 5 4 3 3 3 3 3 3 4 5 6 6 6 5 4 3 2 2 2 4 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 4 4 4 4 5 5 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 7 7 7 8 10 13 16 21 20 4 -3 -2 2 4 4 4 7 9 8 7 6 6 7 7 7 6 6 7 8 9 11 10 9 6 4 2 -3 -7 -2 4 4 1 3 6 8 10 5 6 7 4 7 9 6 3 2 0 3 11 13 6 -0 1 7 9 12 11 10 9 7 5 5 5 9 8 5 6 8 10 5 4 6 1 3 4 4 5 4 3 -0 -2 4 11 17 20 16 12 6 3 1 1 4 5 4 17 30 19 6 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 7 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 6 6 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 7 8 8 8 8 7 8 13 17 16 16 16 12 10 8 9 12 11 11 11 10 9 6 4 4 3 2 3 3 3 3 3 5 7 7 6 5 5 4 4 3 4 5 4 4 5 5 5 6 7 9 10 11 10 9 8 8 7 5 4 4 5 5 3 1 1 2 4 4 3 2 1 3 4 5 5 4 4 5 6 7 9 11 11 11 10 9 8 6 6 5 5 6 7 7 8 8 8 7 7 7 8 9 10 10 12 15 14 11 8 6 5 5 3 1 -1 -2 -1 1 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 3 3 3 2 3 4 4 5 5 5 5 5 4 4 3 3 3 4 6 7 7 7 6 4 2 2 2 3 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 5 5 6 6 7 7 8 9 12 16 21 24 16 -1 2 9 3 1 2 3 5 6 6 6 5 5 6 7 8 8 8 9 9 9 10 10 8 6 3 -2 -7 -4 4 7 4 -2 -0 8 12 17 7 6 1 -4 6 10 7 3 -3 -4 2 11 16 12 2 0 3 8 12 13 10 5 1 0 1 3 5 4 3 10 11 6 2 4 8 4 4 4 6 6 1 5 6 7 7 7 15 21 13 10 4 -0 -2 2 9 12 6 17 30 17 6 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 6 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 7 8 9 10 7 6 5 4 4 5 6 5 6 6 6 5 4 3 3 3 4 3 3 3 5 7 5 4 5 5 4 4 4 4 5 4 3 4 5 5 5 7 8 10 12 11 10 8 7 7 6 5 5 6 6 4 1 -0 0 1 3 4 3 2 2 3 5 5 5 4 4 5 6 8 9 10 11 10 10 9 7 6 6 6 6 7 7 7 7 6 6 5 5 6 7 9 9 12 19 23 21 14 8 7 6 4 2 -0 -1 -0 1 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 4 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 6 7 7 7 6 4 3 3 3 4 4 4 4 4 4 3 2 2 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 6 6 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 5 6 6 6 8 8 8 11 16 22 25 24 12 -2 6 13 3 -2 -2 1 3 3 3 3 3 4 6 6 8 10 11 11 10 9 10 10 8 4 -2 -6 -5 1 4 3 1 -1 2 7 7 6 5 4 -2 -3 6 10 10 9 2 2 3 6 14 15 7 2 2 5 10 12 8 1 -1 -1 0 4 5 1 2 7 8 2 -5 -1 10 11 10 9 7 1 -2 6 12 11 11 9 11 21 19 11 4 -2 -6 1 13 16 8 16 29 18 6 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 5 4 4 3 4 5 5 6 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 5 6 6 6 6 5 6 6 6 5 5 4 4 4 4 4 3 4 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 4 4 5 4 4 3 4 5 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 5 6 5 4 4 3 3 3 4 4 4 4 2 2 3 4 5 6 8 10 11 12 11 8 7 7 6 5 5 6 6 5 2 0 -0 0 2 4 4 3 2 2 4 5 5 4 3 4 5 6 7 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 5 4 4 5 7 8 9 11 19 28 29 20 9 7 7 6 4 2 1 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 5 5 5 5 6 5 5 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 5 6 6 7 7 6 5 5 4 4 4 3 4 4 4 4 3 2 3 3 3 3 4 4 4 4 4 3 2 2 3 3 4 4 4 3 3 3 3 3 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 6 6 8 9 9 11 16 22 26 26 21 11 4 10 13 3 -5 -5 -1 2 2 2 2 3 3 5 6 9 12 14 13 11 10 10 10 6 -1 -6 -4 0 2 1 -1 -2 -1 3 5 1 -1 4 1 1 5 6 6 8 7 7 9 9 2 6 9 7 6 6 6 7 7 5 1 1 1 1 3 4 3 5 6 8 5 -7 -4 11 14 11 11 7 -2 0 6 8 7 13 14 10 20 27 14 3 -5 -7 3 14 14 8 16 29 20 6 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 4 4 3 3 4 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 4 4 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 5 5 5 5 5 5 5 5 4 4 3 4 4 3 3 4 4 5 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 5 5 5 5 5 4 3 2 2 3 4 5 5 3 0 -1 2 3 4 6 6 8 11 12 12 9 7 7 6 5 4 5 6 6 4 2 2 2 4 4 4 3 2 2 4 5 5 4 4 4 4 5 6 7 9 10 10 10 9 9 9 8 8 8 8 8 7 6 5 4 4 4 6 8 9 10 15 22 24 19 11 8 8 7 6 4 2 1 1 2 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 4 4 5 5 6 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 5 6 7 7 7 7 6 5 4 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 4 3 2 2 2 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 7 7 6 5 5 5 6 5 5 5 5 6 6 7 8 9 11 18 25 28 22 17 17 11 10 15 12 0 -7 -5 -0 2 3 3 2 2 3 4 7 9 13 15 14 12 11 11 9 3 -6 -8 -2 1 1 1 3 5 3 0 -1 -0 2 2 -0 5 12 7 1 1 2 8 10 9 3 5 3 3 8 11 10 6 3 3 4 6 6 4 4 5 8 9 5 6 8 -3 -6 10 19 8 8 6 -3 4 9 3 1 7 11 12 25 31 16 2 -6 -6 5 12 8 7 17 31 23 6 5 4 3 4 5 5 5 4 4 5 5 5 4 3 4 4 4 3 4 4 4 4 5 5 5 5 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 3 4 5 5 6 6 6 5 5 5 5 5 5 5 6 5 4 3 1 1 2 4 5 5 3 -0 -3 -1 3 4 5 6 7 10 11 11 10 9 8 7 5 4 4 5 6 6 5 5 5 6 6 4 3 2 2 4 5 5 5 5 4 3 4 5 6 7 8 10 10 10 10 10 9 8 8 9 9 8 7 5 4 4 4 6 8 9 9 11 13 14 13 11 10 9 9 8 6 4 3 3 3 3 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 4 4 4 5 5 6 7 7 6 6 5 5 4 4 4 4 3 3 3 2 2 2 2 2 3 4 5 5 7 8 8 8 6 5 5 4 4 4 4 4 3 2 3 3 2 2 3 4 4 5 5 4 3 3 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 6 6 7 7 6 6 5 5 6 6 6 5 6 6 7 7 7 9 12 18 27 31 24 11 6 11 11 14 13 6 -4 -6 -3 1 3 4 4 3 1 2 4 7 11 14 16 15 13 12 12 9 0 -7 -6 -1 2 4 4 5 10 13 8 2 0 3 1 1 8 17 10 4 2 3 12 12 6 8 11 4 2 7 11 11 10 5 1 4 9 8 6 5 6 11 12 7 6 5 1 -3 13 21 5 1 4 -4 3 5 0 3 6 6 16 32 32 16 2 -4 -3 7 10 5 5 15 33 26 6 5 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 2 2 2 1 2 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 2 3 4 5 5 5 5 6 5 6 6 5 4 4 3 3 4 5 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 4 3 1 1 2 4 5 6 6 5 -2 -4 2 3 4 5 7 8 10 11 10 10 9 8 6 5 4 5 6 7 7 7 8 8 6 3 3 3 3 3 4 5 5 5 4 4 4 4 4 6 7 8 9 10 10 11 11 11 10 9 9 8 7 6 5 4 4 4 7 8 8 8 7 7 9 10 9 10 10 11 10 8 6 5 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 nan
nan 3 3 3 4 4 5 6 7 8 8 8 7 6 5 5 5 4 3 2 2 1 1 1 2 2 2 3 4 5 6 7 8 7 7 6 5 4 4 4 4 3 3 3 3 2 2 2 3 3 4 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 6 6 7 7 6 6 6 5 6 6 6 6 6 7 7 7 7 8 11 17 25 31 27 14 3 -0 7 9 4 2 -3 -6 -4 0 3 5 5 4 3 2 2 4 8 12 16 16 14 14 13 11 6 -1 -5 -3 2 5 7 8 6 5 6 7 7 5 3 2 4 10 16 14 12 8 9 14 12 3 6 12 8 2 5 8 9 12 8 1 4 7 6 4 2 2 7 9 9 8 4 4 6 17 15 1 -4 -2 -4 2 -0 -2 8 11 5 17 35 30 12 -0 -2 3 11 11 6 4 12 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 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 2 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 2 2 3 5 6 6 7 8 2 -2 0 3 4 4 6 7 9 10 10 9 9 8 8 7 6 5 5 7 7 7 8 8 6 2 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 7 9 10 10 11 12 11 11 10 9 8 7 6 5 3 4 6 7 8 7 5 5 6 7 8 9 11 13 14 13 11 9 5 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 3 3 4 4 5 7 8 8 8 8 7 7 7 6 5 4 3 2 0 1 1 1 2 2 3 4 5 7 7 8 7 6 6 5 5 4 4 3 3 4 4 3 3 3 2 3 3 4 5 6 6 5 3 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 5 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 5 5 5 5 5 5 5 5 5 6 5 7 7 7 6 6 6 6 6 7 7 6 6 8 8 8 9 12 16 21 25 24 16 5 -1 0 2 -3 -14 -10 -7 -5 -1 4 6 6 5 3 3 3 3 5 9 14 18 16 13 13 11 5 2 -1 -2 4 7 8 7 10 12 8 1 -2 -3 0 2 4 7 10 14 20 20 13 12 12 8 2 4 8 5 2 5 6 6 9 8 6 6 5 4 3 -2 -3 2 6 11 13 8 5 10 17 12 1 -6 -7 -2 7 7 2 5 6 4 19 36 28 9 -2 -1 6 13 13 8 5 14 27 20 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 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 2 2 3 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 3 2 3 5 6 6 7 6 3 0 1 2 4 4 5 6 8 9 9 9 9 8 8 8 8 5 5 7 6 5 7 8 5 3 4 6 6 5 4 5 5 4 3 4 4 4 4 4 4 4 5 6 7 9 10 10 12 12 12 11 10 9 7 6 4 4 5 5 6 6 5 4 4 5 5 7 9 11 15 18 17 13 7 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 3 3 3 4 5 6 6 8 9 8 8 7 7 7 7 5 3 2 2 2 2 2 2 3 4 5 6 6 6 5 5 6 6 6 6 5 4 4 4 3 4 4 3 3 2 3 3 5 7 8 7 6 3 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 7 7 7 6 7 9 9 10 13 16 20 20 17 11 4 -1 -2 3 3 -5 -11 -8 -1 0 3 6 7 6 4 4 4 5 6 6 10 16 18 15 12 10 6 0 -1 -3 -2 11 11 8 5 6 10 5 1 0 -4 -3 0 6 8 9 14 20 19 13 13 12 9 6 9 8 1 2 5 4 2 -1 4 15 14 8 6 3 -3 -1 5 8 8 9 4 2 8 13 13 12 5 -3 1 7 12 7 3 5 12 26 32 20 6 -1 0 7 12 11 7 6 15 27 18 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 5 5 6 7 9 8 4 3 4 6 6 4 4 4 2 1 2 2 3 4 5 5 7 8 9 9 8 8 8 8 8 7 5 6 6 5 6 7 7 6 6 8 8 7 4 3 4 4 3 3 3 4 4 3 4 4 4 4 5 6 8 8 9 11 11 11 11 11 9 8 7 5 4 5 6 6 5 4 4 3 4 5 7 9 12 16 18 14 9 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 3 2 2 3 3 3 3 3 4 4 4 6 8 8 8 7 7 7 8 6 5 5 4 3 3 3 3 3 3 4 5 6 5 4 4 4 5 6 7 6 5 4 4 3 3 3 4 4 4 3 3 4 6 7 8 7 5 3 2 2 3 3 2 2 2 2 2 1 2 2 2 2 2 2 2 3 4 4 5 4 4 4 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 7 9 12 10 13 16 16 17 15 10 3 -0 1 3 9 9 5 3 4 5 5 6 7 6 5 4 5 7 8 8 9 12 18 18 14 11 7 4 2 0 -5 -3 9 8 2 2 4 6 0 -2 1 0 -1 3 11 8 6 8 11 10 10 12 13 11 12 14 7 2 3 5 5 1 -6 0 16 18 11 8 3 -3 3 11 8 2 -1 -1 2 7 8 12 16 12 4 5 3 13 15 11 12 17 25 23 11 2 -1 1 7 11 8 5 7 18 27 18 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 4 5 6 6 6 6 5 5 5 5 5 4 4 4 4 3 4 4 3 2 4 6 7 7 7 7 6 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 3 3 3 3 4 3 4 4 4 3 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 8 11 10 7 5 6 6 4 2 1 1 1 2 3 2 3 3 4 5 6 7 8 8 8 7 7 7 8 8 7 6 6 5 5 7 9 8 8 8 7 6 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 7 7 8 10 10 11 11 10 9 7 6 5 6 6 6 5 4 4 4 4 5 6 7 10 12 12 10 7 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 4 4 4 3 3 4 5 7 7 7 7 7 7 7 7 6 5 5 4 4 3 3 3 3 4 5 5 5 4 4 4 5 6 7 6 5 5 4 4 4 4 4 4 4 3 3 4 6 8 8 6 5 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 7 6 6 6 7 7 7 6 7 8 8 11 14 13 13 13 11 12 12 9 4 9 14 13 14 13 10 7 6 6 6 6 7 6 5 5 6 9 10 10 10 15 19 18 14 11 8 5 4 2 -0 4 8 5 -1 2 6 4 4 3 4 3 2 7 11 5 1 2 1 1 4 5 10 15 15 12 5 3 4 8 8 4 0 5 9 11 10 9 3 2 6 6 3 4 6 5 3 4 7 8 6 5 7 11 2 6 19 24 19 17 16 9 2 2 -1 -0 7 10 8 5 8 21 26 15 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 4 4 5 6 6 6 6 6 6 5 5 5 4 3 3 3 4 4 3 2 3 5 8 9 9 9 8 6 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 5 4 3 4 4 4 3 3 3 3 3 4 4 5 5 7 11 12 10 8 7 6 3 1 -0 -2 0 3 3 3 2 2 3 4 5 6 7 8 8 7 7 7 7 7 6 6 6 5 5 8 10 7 5 5 5 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 7 7 9 10 11 10 9 8 7 7 7 7 7 6 5 4 4 4 4 4 5 6 6 6 5 2 1 1 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 5 4 4 3 3 4 5 6 6 7 7 7 7 7 6 6 5 5 5 4 3 3 3 4 4 5 5 4 4 4 4 5 6 6 6 5 5 5 5 4 3 3 4 3 3 4 5 7 8 6 5 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 2 3 3 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 6 6 7 8 10 14 17 14 9 7 7 10 12 11 12 18 19 12 10 9 8 6 6 6 5 7 8 7 6 6 7 10 12 11 12 18 21 19 14 11 9 6 2 0 4 10 13 8 2 5 7 2 6 10 10 7 6 11 5 -1 -1 0 -0 2 3 1 6 17 15 7 4 4 5 8 12 9 8 9 9 11 10 6 0 4 7 5 1 1 8 10 5 5 5 -0 0 6 10 14 4 -7 8 30 25 14 3 -5 -4 1 -1 2 8 10 8 6 7 18 26 16 5 5 6 5 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 5 4 4 3 3 3 4 4 4 5 6 6 6 5 5 5 5 4 3 2 2 3 4 4 3 2 3 6 8 9 9 8 7 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 4 4 3 3 4 5 5 6 8 11 14 13 10 5 2 1 1 -2 -1 3 4 3 2 2 3 3 4 5 6 8 8 8 7 7 6 6 6 7 7 5 5 7 7 5 2 1 2 3 5 5 4 3 3 4 3 3 3 3 3 3 4 5 4 4 4 5 4 5 5 5 6 7 8 9 9 10 9 8 8 7 8 7 7 7 6 5 5 4 3 3 3 3 3 2 1 1 0 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 5 5 5 4 4 4 5 5 5 6 6 7 6 6 5 5 5 5 5 4 3 3 3 3 4 5 5 5 4 4 4 4 5 6 6 6 6 6 5 4 3 3 3 3 4 5 6 7 7 5 4 3 3 2 2 2 2 3 2 2 1 1 1 1 1 1 1 2 2 2 3 4 4 3 3 3 3 3 3 2 2 2 2 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 5 5 6 7 7 7 6 5 7 10 13 17 17 12 7 6 8 12 11 8 13 11 5 -0 1 3 5 5 6 5 6 8 9 9 9 9 9 10 11 11 14 20 22 17 12 11 10 8 2 -0 5 10 12 9 8 9 7 5 6 9 7 4 9 20 7 -2 2 4 3 7 7 1 6 19 14 4 5 6 5 7 14 15 11 7 10 14 11 5 -2 2 7 6 1 3 11 13 11 11 2 -4 5 12 13 14 9 -4 3 31 23 7 -9 -13 0 5 4 8 10 8 7 6 6 13 26 22 8 5 6 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 5 6 6 6 5 5 4 3 2 2 2 4 4 4 2 2 4 7 8 7 7 6 6 5 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 7 6 5 4 4 3 4 3 4 3 3 3 3 4 5 6 6 7 9 14 17 15 9 2 0 1 0 1 2 4 4 3 3 2 3 3 4 5 7 7 8 8 7 5 5 6 7 8 7 5 6 5 4 3 2 3 4 6 6 5 4 4 4 4 4 3 2 2 3 4 4 4 4 4 5 5 6 6 6 5 6 6 7 8 9 9 9 8 8 8 8 8 8 8 7 7 6 5 4 3 3 2 2 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 3 4 5 5 5 5 5 6 5 5 4 4 5 5 6 7 7 6 5 5 5 5 5 4 5 5 4 2 2 3 5 5 5 5 4 4 4 5 5 6 7 8 7 7 5 4 3 3 4 5 6 7 8 7 5 3 2 2 2 2 2 3 2 2 1 1 1 1 1 1 2 2 2 2 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 7 6 5 10 15 16 16 13 9 8 7 9 11 8 2 6 -0 -10 -7 -1 2 4 4 4 5 6 7 10 11 12 12 10 9 9 11 15 21 20 14 10 11 9 6 3 2 5 6 5 8 12 11 8 5 2 1 1 7 15 21 6 1 6 6 5 10 8 2 10 19 11 3 6 8 8 6 7 12 14 8 4 7 2 3 5 7 10 4 1 6 10 11 15 13 2 1 9 9 11 14 17 8 16 30 18 -5 -22 -12 16 23 20 19 14 8 5 5 5 12 25 24 10 5 6 5 5 5 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 5 5 5 4 4 3 2 2 3 3 3 4 3 2 2 4 6 6 6 5 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 6 6 6 6 5 5 5 4 4 3 3 2 2 3 4 4 4 4 4 4 4 5 6 6 6 6 6 5 6 5 5 5 5 5 6 6 7 8 7 6 7 7 7 6 5 4 4 4 3 4 4 3 3 4 5 6 6 6 6 8 12 18 21 15 6 1 2 3 2 3 4 3 3 3 3 3 2 3 4 5 7 8 8 7 6 4 4 6 8 8 7 6 4 4 5 6 6 6 7 7 5 4 4 4 4 3 3 2 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 6 5 4 4 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 3 5 7 7 6 6 6 6 6 6 5 4 4 4 5 6 7 7 6 6 5 5 5 5 5 5 4 3 2 2 3 4 5 5 5 4 4 4 5 6 8 9 11 11 9 7 4 3 3 4 5 7 8 8 7 5 4 3 2 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 2 3 2 3 3 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 7 7 7 5 5 10 18 17 12 9 9 9 8 8 8 3 -1 0 -3 -9 -4 1 2 2 3 3 4 5 8 10 12 13 13 11 9 8 10 15 20 19 12 8 8 4 1 3 6 7 4 3 5 6 5 4 2 -2 -2 -2 4 17 11 -2 -1 5 4 6 15 10 3 6 10 14 16 12 9 7 2 -1 8 16 12 5 3 -12 0 16 12 9 1 4 2 -2 5 12 7 3 9 12 9 3 9 19 14 26 27 13 -13 -23 -0 25 33 33 28 18 10 7 5 4 10 23 25 12 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 3 4 4 5 5 5 5 4 4 3 2 2 3 3 3 3 3 2 3 5 6 5 5 5 5 5 6 6 5 6 5 5 5 5 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 8 9 9 10 9 8 8 8 8 8 6 5 5 4 4 4 4 3 4 5 5 6 7 7 6 7 10 17 23 21 13 4 4 6 5 4 4 4 3 3 2 2 2 2 3 4 6 7 7 7 7 5 4 5 5 7 7 6 5 4 4 6 7 8 8 8 5 4 5 5 4 3 3 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 8 9 10 10 10 10 8 6 6 6 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 5 7 9 8 6 5 5 6 7 7 7 6 4 4 4 5 6 8 8 7 7 6 5 5 6 5 5 4 3 2 2 3 4 4 4 4 4 4 5 6 8 10 13 15 13 9 6 4 4 4 5 5 7 7 8 8 7 6 3 2 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 8 17 18 11 9 10 10 8 7 6 1 -0 2 2 -2 -1 0 1 2 2 2 3 4 8 11 11 12 13 12 9 8 12 17 20 18 11 7 5 3 -0 1 4 11 11 8 6 2 2 3 2 2 2 -2 -1 7 -1 -5 1 4 1 8 20 12 3 0 3 18 25 14 5 2 -2 -2 7 10 7 11 9 -8 -2 14 11 9 3 0 -4 -3 6 6 -0 3 10 12 9 3 7 11 15 29 25 9 -11 -11 8 19 24 28 24 15 10 8 5 3 9 22 27 15 5 6 6 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 2 3 3 3 4 3 4 6 6 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 6 6 7 6 8 10 11 12 12 11 10 12 11 9 9 7 5 5 4 4 4 3 3 5 6 6 6 6 6 7 7 8 12 19 21 16 11 10 9 7 6 4 4 3 3 3 2 2 2 2 3 5 6 7 8 7 6 4 4 4 5 5 5 5 4 3 4 5 6 8 7 6 5 5 5 5 4 4 5 5 4 4 3 3 3 3 4 4 4 5 6 6 6 7 6 6 6 6 6 5 5 6 7 8 8 8 8 8 9 11 11 9 8 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 5 8 9 7 4 3 4 5 6 7 7 6 6 4 4 4 5 6 8 8 7 7 7 7 6 6 6 5 4 3 2 2 2 3 3 4 4 4 5 5 7 10 13 15 13 10 7 6 5 5 5 5 5 6 7 8 9 9 7 5 2 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 5 5 5 5 5 7 16 20 15 11 10 9 8 6 4 2 6 10 7 1 -0 -1 0 1 1 1 2 4 7 10 11 13 15 14 12 12 15 19 19 14 10 9 7 5 5 0 -1 7 9 8 8 6 5 2 3 8 13 13 11 3 -5 -1 3 4 1 6 12 5 3 4 8 15 13 6 4 1 1 8 10 3 1 13 12 4 -0 4 9 11 9 1 -0 5 3 -6 -8 0 9 9 4 3 5 3 14 31 27 9 -4 -2 8 12 14 15 14 11 8 7 5 3 10 25 30 16 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 5 5 5 4 4 5 4 4 4 5 5 5 5 6 5 4 3 3 3 3 3 3 3 4 4 5 6 5 4 4 4 4 5 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 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 7 8 7 7 7 7 7 8 9 10 12 14 14 14 14 15 18 16 9 8 7 4 4 5 5 4 3 4 5 6 6 6 6 6 6 6 6 7 11 14 13 13 13 12 9 7 5 5 4 4 4 3 3 3 2 3 3 5 6 7 7 6 5 4 3 3 4 4 5 4 4 3 3 4 6 6 5 6 7 6 5 4 5 5 6 6 5 3 2 3 3 4 4 4 5 5 5 6 6 7 6 6 6 6 5 5 6 7 7 8 7 7 6 8 9 9 9 8 6 6 6 8 8 9 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 4 6 6 4 2 1 2 4 5 5 5 5 6 5 5 4 4 5 6 6 6 6 7 7 7 7 7 8 7 6 4 2 1 1 2 2 3 4 4 5 6 8 11 13 12 10 9 8 8 7 7 7 5 4 4 6 8 10 10 9 6 4 3 1 1 1 2 3 2 3 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 6 8 13 21 21 12 10 9 7 4 -2 2 14 15 6 0 -2 -1 -0 1 2 1 2 4 7 9 13 17 16 14 14 15 18 17 13 10 8 9 7 6 4 0 5 3 3 6 8 7 2 0 6 11 8 7 11 12 15 13 6 2 -1 1 -1 0 3 10 12 9 4 4 3 -2 4 19 19 7 1 10 8 4 4 8 10 10 3 -6 5 19 9 -9 -7 2 6 1 -1 2 3 -0 12 29 29 11 0 4 10 11 10 10 9 7 6 5 3 3 12 25 22 9 6 7 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 9 10 11 13 14 16 16 16 18 19 21 17 10 7 6 4 4 6 6 4 3 4 5 7 7 6 6 6 6 6 6 5 5 7 9 10 11 11 9 8 7 6 6 5 5 4 4 3 2 2 3 4 4 5 6 6 6 4 4 3 3 3 4 4 4 4 4 5 4 4 4 6 7 6 5 4 5 6 6 7 6 4 2 2 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 8 7 6 6 7 7 8 7 6 6 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -1 -0 -0 1 2 5 6 4 1 -1 -1 2 4 5 4 4 5 5 5 5 4 5 5 5 4 4 5 6 6 6 9 12 13 10 6 2 0 0 1 2 3 4 5 5 5 5 7 9 10 10 10 10 9 9 9 8 5 3 3 4 6 9 11 11 10 8 6 3 1 1 1 2 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 4 4 4 3 3 3 2 2 2 2 2 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 5 6 9 14 24 24 13 9 9 7 2 -4 5 15 10 4 -0 -2 -2 -1 1 1 2 4 6 7 8 14 19 15 13 13 14 17 15 9 7 7 7 5 2 -1 1 8 6 1 4 7 5 1 3 9 6 -0 2 4 9 20 22 12 2 -2 -1 -0 6 8 13 13 14 12 8 -1 -5 7 24 23 10 3 4 1 -1 8 13 8 -1 -8 -6 12 28 15 -1 0 3 -3 -6 -1 1 -1 2 12 22 23 14 7 10 13 12 11 9 7 6 6 4 2 4 11 15 10 6 12 14 8 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 5 5 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 11 13 14 15 17 17 18 19 21 21 18 13 10 7 5 5 5 6 6 4 4 5 6 7 7 7 7 6 6 6 6 5 5 6 6 7 7 7 8 8 9 9 8 7 6 6 5 4 3 3 2 3 4 4 5 6 6 5 4 4 3 3 3 4 4 3 4 5 4 4 3 4 4 5 4 4 5 6 7 6 5 4 3 2 3 4 4 4 3 3 3 3 4 4 5 5 5 6 6 6 6 6 7 7 7 8 7 6 6 6 6 6 6 6 7 9 10 9 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 1 1 2 4 6 5 2 -1 -1 1 5 7 6 5 5 5 5 5 5 5 5 5 3 2 2 3 4 5 10 16 16 11 6 2 1 0 1 3 3 5 6 6 5 4 4 5 7 8 9 10 10 11 11 8 6 5 4 4 5 7 9 10 10 10 10 7 4 2 1 1 2 3 3 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 4 4 3 3 3 4 5 5 6 5 5 4 3 5 7 10 17 26 23 13 8 8 7 4 4 10 7 2 1 -0 -3 -3 -1 1 2 3 5 7 8 11 17 14 10 12 10 11 16 14 8 5 6 6 3 -3 -3 5 8 6 2 3 5 5 5 13 12 4 10 12 0 1 12 15 10 4 -1 0 6 11 13 10 7 16 22 13 4 5 14 18 13 6 4 4 1 2 8 7 3 -3 -3 6 18 22 11 3 1 -0 -6 -5 1 0 -1 7 14 13 11 12 15 15 14 11 9 7 5 6 7 5 2 3 7 8 7 9 15 22 15 6 5 5 5 5 5 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 6 5 5 5 4 4 4 4 4 5 6 6 5 4 4 3 4 3 3 3 3 3 3 3 3 3 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 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 8 10 12 13 16 17 18 18 17 17 18 18 16 11 9 7 6 5 5 5 5 6 5 5 7 8 7 7 7 6 6 6 6 5 6 6 6 6 5 5 5 7 8 9 10 11 10 8 6 6 5 5 4 3 2 2 3 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 3 2 1 3 3 5 7 7 6 5 3 3 3 4 3 3 3 2 2 2 2 2 2 3 5 5 6 6 6 6 7 7 6 6 7 8 7 6 6 6 6 6 5 6 8 9 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 3 3 4 5 6 6 4 1 1 4 7 10 9 6 5 5 5 5 5 5 5 5 3 2 2 2 2 4 8 13 14 9 5 3 2 2 3 4 5 6 7 7 5 3 2 3 4 6 7 8 9 10 10 8 6 6 5 5 5 6 7 8 8 9 10 10 8 4 2 1 1 1 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 3 3 3 4 5 5 6 6 5 4 4 6 9 12 19 27 22 12 6 6 8 8 12 11 -1 -4 -3 -2 -3 -2 -1 1 2 3 6 9 12 16 16 7 8 11 9 10 15 14 10 7 4 1 -2 -4 2 10 7 5 7 4 3 4 7 14 8 6 21 10 -5 3 5 -2 1 3 3 6 8 11 12 4 -1 2 9 9 11 13 13 8 5 5 6 6 7 13 14 6 3 3 2 7 10 9 9 7 4 -2 -2 2 5 6 8 12 13 6 2 9 16 18 15 10 8 5 4 6 7 4 1 2 6 7 7 9 14 25 20 7 5 6 5 6 5 5 6 5 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 5 5 5 5 6 7 6 7 7 7 8 8 8 7 8 8 8 10 12 14 16 17 18 18 16 14 13 11 7 4 5 7 6 5 6 6 5 4 5 7 9 8 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 11 13 12 8 7 6 6 6 5 4 2 3 3 4 4 5 5 5 4 4 4 5 4 4 4 4 5 5 5 4 2 1 1 2 4 5 6 6 5 4 3 4 4 3 3 2 1 1 1 1 2 2 3 3 4 5 5 6 6 6 7 6 7 7 7 8 8 8 7 7 6 5 5 6 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 4 4 5 6 6 6 5 3 4 6 9 10 9 8 8 7 6 5 5 5 5 6 4 3 3 2 2 3 5 8 9 6 4 3 4 4 5 6 7 7 7 7 5 3 2 2 3 5 6 7 7 8 8 8 7 6 6 6 5 5 6 6 6 6 8 10 10 8 4 2 1 1 2 2 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 4 4 5 6 7 6 5 4 4 7 10 14 23 28 21 10 4 6 10 9 9 1 -7 -6 -5 -3 -1 -0 1 2 3 4 6 11 19 21 13 6 7 8 10 14 17 15 12 9 3 -3 -4 3 8 11 4 4 7 5 0 1 4 7 3 9 21 5 -2 7 -2 -10 -4 4 11 13 8 7 8 3 1 -2 -1 4 10 10 7 4 5 8 8 3 6 14 16 8 3 4 7 6 1 4 7 8 8 2 1 6 10 11 11 11 8 2 1 9 16 19 16 11 8 5 4 6 6 3 1 3 6 6 7 8 14 24 22 9 5 5 5 6 6 6 6 5 4 4 4 4 3 4 4 4 4 4 5 5 4 4 5 5 5 6 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 7 7 8 8 8 8 8 8 7 8 8 9 11 13 16 17 17 16 15 13 11 7 1 -3 -3 3 6 6 6 5 5 5 5 4 7 11 8 5 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 7 8 12 13 12 10 9 8 7 7 6 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 1 1 2 4 5 5 5 4 4 4 4 3 2 1 1 1 1 2 2 3 3 3 3 4 5 5 6 6 6 7 6 7 7 7 9 9 9 8 7 5 4 4 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 5 4 5 6 6 6 4 3 4 6 8 7 7 8 9 10 9 7 5 5 5 6 6 5 4 3 3 3 4 5 6 4 3 4 4 5 6 7 8 7 7 5 4 4 3 2 2 4 5 5 5 5 6 8 8 8 7 6 6 5 5 5 5 5 6 7 9 9 7 5 3 2 2 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 4 4 4 5 6 7 7 5 4 3 4 8 12 19 29 29 17 7 4 7 9 2 -3 -8 -8 -4 -3 -0 1 3 4 5 6 5 6 13 23 24 12 5 5 6 10 14 16 16 13 8 4 -1 -0 7 8 8 3 0 4 7 2 0 2 2 6 10 13 -0 -1 5 -1 -3 1 7 13 12 6 5 7 6 5 5 4 7 10 11 6 3 6 6 2 -1 3 9 10 5 1 2 7 6 -3 -1 3 5 7 6 6 8 8 10 10 8 3 -0 5 10 13 16 16 13 9 6 5 6 5 1 1 4 6 6 6 7 14 25 24 11 5 5 6 6 6 6 6 5 4 4 4 3 4 4 4 4 3 4 5 5 4 4 4 5 5 6 6 5 5 4 4 4 4 5 5 5 4 4 3 4 4 5 4 4 4 4 4 4 3 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 5 6 6 5 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 10 12 14 15 16 15 14 11 11 11 7 -0 -1 2 5 6 6 6 5 5 5 4 2 8 13 7 4 5 6 6 6 7 7 7 7 7 6 5 5 5 6 7 6 8 10 8 5 8 11 14 13 12 11 10 9 8 7 6 5 4 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 5 4 3 2 2 3 4 4 4 4 3 4 4 3 2 2 1 1 2 3 3 3 4 4 3 3 4 4 5 6 6 7 7 7 6 5 7 8 9 9 8 6 4 4 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 5 4 4 7 8 6 3 2 3 4 5 5 6 7 9 11 11 9 6 5 6 6 6 6 6 6 6 6 5 6 6 5 4 4 4 5 6 7 7 6 5 4 3 3 2 2 2 2 4 4 4 4 6 8 9 9 8 8 7 5 5 4 5 5 5 6 7 8 8 7 5 3 2 1 1 2 2 3 3 4 4 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 3 4 4 5 6 7 8 7 5 3 3 6 11 19 32 40 30 13 6 4 3 1 -9 -13 -9 -4 -1 1 3 5 6 7 8 9 8 6 12 22 24 16 8 5 6 7 8 12 15 12 5 4 5 6 5 5 10 6 2 3 4 4 1 1 3 11 12 2 -5 -2 -1 0 3 7 8 8 5 2 4 7 7 7 8 7 9 13 12 7 5 6 -3 -8 -2 5 6 6 3 1 3 4 3 0 -1 4 6 3 5 8 10 10 8 8 5 2 5 10 9 9 12 14 13 10 7 7 7 4 1 2 4 6 6 5 7 16 28 25 10 4 5 6 7 7 6 6 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 5 5 6 5 5 5 5 5 6 6 6 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 10 11 12 12 14 14 14 11 9 10 14 13 9 7 7 6 7 7 7 6 5 5 5 5 10 10 5 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 8 8 5 6 9 11 13 13 13 13 11 11 10 9 8 8 9 9 8 6 5 5 5 5 5 5 6 6 6 7 6 6 6 5 4 3 3 4 5 5 4 3 4 3 3 3 2 1 1 1 2 3 4 5 4 5 4 4 3 3 4 5 7 7 7 7 6 4 5 5 7 9 9 8 7 6 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 5 8 10 10 6 3 2 3 4 5 6 7 8 11 12 12 8 6 6 6 7 7 10 13 14 13 11 9 8 9 7 5 3 3 5 5 6 5 4 3 2 1 1 1 1 2 2 3 4 4 5 7 9 9 9 8 7 6 5 5 5 5 5 5 6 6 7 8 7 5 3 2 1 1 2 2 3 3 4 3 3 3 3 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 7 9 9 6 3 2 4 11 20 31 43 43 23 8 3 -3 -3 -4 -14 -16 -7 -1 1 3 4 6 7 8 10 12 11 8 9 16 22 22 15 9 8 8 6 8 11 8 3 5 12 15 4 5 13 11 10 9 3 2 1 3 7 12 10 -1 5 10 0 3 5 6 7 3 0 1 4 6 5 5 6 9 13 14 12 9 5 2 -9 -3 7 8 2 0 1 3 8 5 3 9 6 8 9 2 2 5 9 8 10 7 3 8 18 15 8 9 10 11 11 11 9 8 7 5 3 3 4 5 5 5 11 24 30 20 7 3 4 6 7 8 6 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 10 11 11 11 12 13 12 10 8 10 15 16 11 9 8 7 7 7 7 6 6 6 6 8 9 6 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 6 6 6 7 5 6 6 7 9 11 13 14 15 15 14 12 11 11 13 14 12 9 7 6 6 5 5 5 5 6 7 7 7 7 6 5 4 4 3 4 6 6 6 5 4 4 3 3 2 2 2 2 3 3 4 5 5 5 5 4 4 3 4 5 6 6 7 7 6 6 4 3 5 7 8 9 9 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 1 2 3 6 10 13 14 11 6 3 3 5 6 7 7 8 10 12 13 10 7 6 6 6 9 14 19 19 17 14 11 11 13 11 6 4 4 6 7 5 4 4 4 3 1 1 1 1 1 2 3 4 4 4 5 7 8 8 8 7 6 5 5 5 5 5 5 5 5 6 7 7 6 5 3 1 0 1 2 2 3 3 3 3 3 2 2 2 2 2 2 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 6 9 10 8 5 2 3 10 20 29 34 34 27 15 8 2 -6 -6 -7 -15 -13 -5 -0 2 4 5 6 6 7 9 12 11 9 9 12 19 25 22 16 14 10 6 5 9 8 6 6 15 19 5 4 7 13 14 12 6 1 -0 4 9 7 4 7 19 20 8 7 4 2 5 5 4 5 6 7 7 7 8 12 16 15 15 11 4 -6 -10 10 18 12 3 -0 -1 -0 7 5 1 5 3 8 12 7 4 2 5 9 10 2 0 14 24 16 9 10 10 10 9 10 11 10 8 6 4 4 4 5 5 6 17 31 27 11 4 3 4 6 8 8 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 7 6 7 7 8 9 8 8 10 11 11 10 10 10 11 10 8 5 7 12 14 10 7 6 6 6 7 7 8 8 7 6 5 5 6 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 8 10 4 1 5 6 7 7 10 13 15 16 16 14 11 11 13 16 17 14 10 8 7 5 5 5 5 5 6 7 7 7 7 6 5 4 3 4 6 7 7 6 4 4 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 6 6 7 7 7 6 4 4 5 6 8 8 8 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 -2 0 3 5 9 13 15 13 8 5 4 6 7 7 7 7 8 11 13 11 8 6 5 6 10 13 14 11 9 8 8 9 12 12 8 6 9 12 11 8 6 6 5 4 3 1 1 1 2 3 4 5 4 3 4 5 6 6 7 6 6 5 6 6 6 6 6 5 5 5 5 7 7 6 4 2 1 1 1 2 2 3 3 3 3 3 3 2 2 2 2 3 3 4 4 3 4 4 3 4 4 4 4 5 4 4 4 3 4 7 10 10 7 4 4 9 18 26 30 27 17 9 9 11 8 1 -4 -12 -15 -8 -3 1 2 3 5 6 6 6 7 8 9 10 10 13 19 23 20 18 17 12 7 7 10 9 7 8 12 12 9 4 2 6 9 15 10 1 -1 6 9 3 3 12 16 11 14 13 8 2 5 9 9 9 10 10 10 10 11 12 12 11 13 11 12 -3 -8 6 16 15 11 8 1 -2 6 10 4 -2 -5 8 15 10 8 3 2 18 12 2 6 17 19 13 9 9 11 10 10 11 12 10 7 5 3 4 5 5 5 9 23 32 22 8 4 4 5 7 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 6 6 7 7 7 7 6 7 7 7 7 6 6 6 6 8 8 8 8 9 10 11 11 10 9 8 9 8 5 1 1 6 10 9 7 6 5 5 6 6 7 9 9 7 3 -1 3 5 5 4 4 3 3 4 5 4 2 3 3 3 3 4 4 5 4 5 7 11 5 -1 5 7 6 6 7 8 11 12 12 10 10 10 11 14 18 17 13 10 8 6 5 5 6 5 4 5 6 6 7 7 6 5 5 4 5 6 6 5 4 3 2 3 3 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 5 6 7 7 7 7 5 4 4 5 7 7 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 -2 -1 2 4 5 8 10 10 7 5 5 6 7 7 7 6 7 9 11 11 9 7 7 7 9 9 5 1 1 1 2 4 6 7 7 8 12 15 12 9 9 8 7 5 4 4 3 2 3 4 5 6 6 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 4 4 5 6 5 4 2 1 2 2 1 2 2 2 2 3 4 3 2 2 2 2 2 3 3 4 3 3 3 4 4 4 4 4 5 5 5 4 4 5 9 11 9 5 4 9 15 19 22 27 26 15 5 6 10 11 5 -7 -18 -14 -4 -0 1 3 4 5 6 6 6 6 6 8 11 12 16 19 18 15 13 13 12 11 11 9 7 7 10 8 6 10 10 10 4 4 10 6 -2 3 10 9 3 4 7 7 2 12 13 7 3 7 9 7 7 9 12 12 10 8 7 7 9 9 9 18 2 -7 -2 10 13 11 11 9 3 4 11 14 10 1 6 14 12 8 7 7 12 8 9 17 18 12 8 8 9 10 10 11 11 11 8 5 2 2 4 7 6 6 13 26 29 17 6 4 4 6 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 5 4 5 4 5 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 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 5 6 6 5 6 5 6 6 6 6 7 7 7 7 6 7 7 6 6 6 6 5 5 6 7 8 7 8 9 11 11 9 9 8 7 6 6 6 4 -1 2 7 8 7 6 5 5 6 7 7 9 9 9 4 -3 -1 4 5 5 5 4 4 5 6 6 4 2 2 1 1 1 1 4 5 6 7 6 4 2 5 6 6 6 6 5 6 6 6 7 9 10 11 14 18 19 16 12 9 6 5 5 6 5 4 4 5 5 6 7 7 6 6 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 6 6 5 5 4 4 5 5 6 7 7 7 5 4 4 5 6 7 7 7 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 1 -0 1 3 3 3 4 5 4 4 4 5 5 6 5 5 6 7 9 10 9 9 9 9 8 6 3 1 1 1 2 2 2 3 4 6 10 11 8 6 7 7 7 6 5 5 5 4 5 6 7 7 7 7 6 4 4 4 4 5 5 6 7 7 7 7 7 6 5 4 4 4 4 4 3 2 2 2 3 2 2 2 2 2 3 3 4 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 9 13 14 9 4 7 14 14 11 14 22 27 20 9 4 5 5 -4 -16 -20 -11 -2 -0 1 3 5 6 7 7 7 7 8 11 14 14 15 16 16 14 9 8 9 12 11 8 6 5 6 8 7 1 0 4 2 2 0 -2 -2 9 14 7 1 2 4 8 11 7 4 1 1 5 5 2 3 7 12 13 9 6 5 6 9 7 6 12 5 0 -6 2 8 6 10 11 8 5 9 14 12 1 -1 12 19 6 3 14 2 -2 14 19 14 8 7 8 9 8 9 10 10 9 5 3 2 2 5 8 8 7 13 26 28 13 4 4 5 6 6 7 7 7 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 4 3 4 4 3 3 3 3 4 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 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 6 6 5 6 6 6 5 6 6 7 7 7 6 6 6 6 6 5 5 6 5 5 6 6 7 7 7 9 11 10 8 8 8 7 4 2 6 13 10 5 7 7 7 7 7 6 7 12 12 9 8 8 5 0 -0 3 6 6 5 5 5 5 5 7 7 6 4 3 3 2 -0 3 5 6 8 3 2 4 6 6 6 5 5 5 4 4 4 5 7 8 10 13 16 19 19 16 12 9 7 6 4 4 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 6 6 7 6 6 5 5 4 5 5 7 7 7 6 5 4 4 5 6 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 4 3 3 4 3 2 3 3 4 3 2 2 2 3 4 4 4 5 6 7 8 9 10 11 9 7 5 4 4 4 4 4 3 2 2 3 5 7 4 3 4 5 5 6 6 6 7 7 7 7 7 8 8 8 7 5 4 4 4 4 4 6 7 8 8 8 8 6 5 4 4 4 4 4 3 2 2 3 4 3 3 2 2 2 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 4 4 5 5 5 5 5 5 9 15 19 17 10 4 5 12 11 6 9 17 20 14 6 -3 -5 -10 -15 -18 -13 -5 -1 0 2 5 7 7 7 9 10 10 13 17 16 11 10 11 14 13 8 7 9 10 8 7 6 1 -0 7 5 -5 -3 -0 1 -0 -1 1 3 9 13 4 -1 0 2 6 10 2 -1 -2 -3 2 3 3 4 6 12 13 9 6 7 8 7 4 3 2 7 12 7 2 2 4 11 10 10 11 10 10 3 -8 -6 17 26 6 -2 9 -1 1 21 20 12 7 6 8 8 9 9 10 9 6 3 3 4 5 7 9 9 8 12 24 28 15 4 5 6 6 7 6 7 6 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 4 4 4 3 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 9 11 10 8 6 6 6 3 -2 -2 10 16 10 8 7 6 8 7 4 5 14 19 12 7 6 4 1 1 4 5 5 5 5 5 5 6 6 7 7 7 6 6 5 4 5 6 6 6 5 3 5 6 6 6 6 5 4 4 4 4 4 4 6 8 10 13 17 19 19 16 12 10 9 6 5 5 6 6 7 6 5 5 5 6 5 5 5 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 5 6 7 7 7 7 6 5 5 4 5 6 7 7 6 6 5 5 5 5 7 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 8 5 5 5 5 4 4 5 5 4 3 3 2 2 2 3 3 4 5 5 5 7 9 10 10 9 7 5 5 5 5 6 5 3 2 2 3 4 4 4 5 5 4 4 5 6 7 8 8 8 7 7 6 6 6 5 5 5 4 4 4 6 8 9 9 9 8 7 5 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 3 2 2 3 3 4 4 4 3 3 2 2 3 4 4 5 5 5 5 5 7 10 17 22 21 15 9 3 0 8 10 5 6 11 12 3 -6 -15 -20 -20 -13 -9 -5 -2 -1 2 4 6 7 8 8 11 13 15 19 20 14 8 6 8 10 9 4 5 10 7 6 7 5 1 4 10 6 2 6 10 5 2 3 9 7 5 10 3 -2 -3 -2 -1 -2 -1 1 2 0 3 5 4 4 7 12 13 8 4 8 12 9 3 1 2 7 13 21 20 6 5 13 10 8 10 9 6 -2 -11 -3 20 19 9 9 14 5 8 22 21 12 7 6 7 8 9 10 11 9 5 4 4 5 6 6 8 8 8 11 23 29 17 5 6 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 4 4 5 4 4 4 5 4 5 5 5 5 6 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 5 5 6 5 4 4 5 6 5 5 5 6 6 6 6 7 9 10 10 8 5 5 5 4 -0 -5 0 10 10 7 6 6 7 6 -0 -4 5 16 15 8 5 2 0 2 5 5 5 5 5 5 6 6 6 6 6 7 7 6 6 5 6 6 6 6 5 5 5 5 6 7 6 5 4 4 3 3 3 4 5 6 7 10 14 19 20 18 16 12 10 9 7 5 5 7 8 8 6 5 5 5 6 5 5 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 5 6 7 7 7 7 7 7 6 5 5 5 5 6 6 6 5 5 4 5 6 7 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 10 7 6 7 8 8 9 9 8 7 6 6 5 3 2 2 3 4 4 4 4 5 7 8 9 8 8 7 5 6 6 7 6 5 4 3 3 3 4 5 5 4 4 4 4 4 6 7 8 8 7 6 5 4 5 5 5 5 4 4 5 6 8 10 10 9 9 7 6 5 5 5 5 4 3 3 3 4 5 5 5 4 4 4 3 3 2 2 2 3 3 4 4 4 3 3 3 4 4 4 4 5 5 5 7 15 23 25 21 13 7 5 3 2 5 6 4 1 2 1 -3 -11 -22 -24 -14 -5 -3 -2 -2 1 4 6 7 8 8 10 16 20 22 22 17 11 8 8 9 8 5 1 2 10 9 8 7 6 5 11 17 12 8 9 7 7 9 9 10 7 5 13 6 -1 -2 0 1 1 3 6 7 6 6 5 3 5 7 9 10 3 -0 7 12 8 2 2 8 9 8 14 17 7 2 6 9 5 3 4 5 4 1 2 7 6 10 20 22 21 21 17 15 10 7 6 7 8 8 9 10 8 5 5 5 6 5 5 7 7 7 13 25 28 16 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 3 4 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 5 5 6 6 6 6 6 7 6 5 4 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 8 11 11 8 5 3 4 6 6 2 0 5 7 6 5 5 5 4 -2 -9 -5 6 10 7 4 1 0 4 5 5 5 6 6 6 6 7 7 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 7 5 4 3 3 3 3 4 4 4 5 7 10 16 21 21 18 16 12 11 7 5 5 6 8 8 7 7 5 4 6 6 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 8 8 8 6 5 5 5 6 6 6 6 5 4 4 5 5 6 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 7 7 8 9 13 15 15 12 9 9 8 7 6 4 3 2 3 3 3 4 5 5 6 7 7 8 9 9 9 9 9 8 7 6 5 5 5 5 5 5 5 5 4 3 4 5 6 7 8 7 6 5 4 4 5 5 5 4 4 4 5 7 9 10 10 9 7 6 6 6 5 4 4 4 4 4 4 4 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 5 6 15 26 29 21 12 4 2 3 4 3 3 9 10 2 -6 -7 -1 -6 -16 -15 -5 -2 -3 -2 1 4 7 8 8 7 10 16 23 25 21 15 11 8 9 12 13 11 7 2 1 7 15 13 6 6 5 9 14 8 7 11 7 6 8 9 5 5 10 14 6 2 4 5 4 6 8 8 7 8 8 3 2 8 9 6 7 1 0 7 7 -0 -4 3 11 12 11 11 4 -6 -9 -3 9 8 -1 1 6 11 13 10 3 4 12 20 22 23 21 15 11 8 6 5 6 8 9 9 9 7 5 5 6 5 5 6 6 6 7 16 26 24 13 6 6 7 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 3 3 3 3 3 3 4 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 7 7 7 7 9 11 11 9 5 3 5 8 9 7 6 6 6 6 5 3 3 3 0 -4 -5 -1 4 6 2 -1 0 5 6 6 5 6 6 7 7 7 6 6 7 8 8 8 8 8 7 7 7 7 6 5 5 5 6 6 7 7 5 3 3 3 3 3 3 4 4 5 6 10 17 22 22 20 18 15 10 9 8 9 10 12 11 8 6 5 5 6 5 4 4 5 6 6 5 4 4 3 3 4 4 4 5 5 5 6 7 7 7 6 7 10 10 9 7 6 5 6 6 6 6 5 4 2 3 3 4 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 7 8 12 17 18 18 16 14 12 10 9 6 5 3 2 2 3 4 5 6 7 8 9 10 11 12 12 12 13 13 11 9 8 6 6 6 7 7 6 6 5 4 4 4 4 5 7 7 6 6 5 5 5 5 5 3 3 3 4 6 8 9 10 9 7 6 6 5 5 5 4 4 4 4 4 5 6 7 7 6 6 5 5 4 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 6 12 21 21 16 12 5 -1 -0 0 0 -1 5 21 25 13 0 -3 2 0 -6 -6 -4 -5 -3 0 4 7 8 7 7 9 16 24 26 20 13 10 8 8 10 11 13 14 10 7 3 4 12 13 6 4 3 6 11 7 10 14 10 6 6 8 3 3 12 9 4 5 11 7 3 5 8 6 6 7 5 1 3 9 9 6 5 2 7 10 5 -5 -7 1 9 11 16 18 5 -10 -12 -0 13 16 2 -1 6 13 14 14 13 12 14 16 18 17 14 11 9 7 5 4 7 8 9 9 8 6 4 5 5 6 6 6 6 5 6 14 23 21 12 6 6 7 7 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 7 5 4 4 4 5 5 5 5 5 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 5 4 3 4 4 3 3 3 3 3 4 4 5 5 5 5 6 7 8 9 10 11 11 9 6 5 7 9 9 7 7 7 6 5 5 3 4 4 3 3 2 2 4 5 0 -2 2 5 5 6 6 7 7 7 7 7 6 7 8 8 8 8 9 9 9 8 8 7 6 4 4 5 6 6 7 7 6 5 4 4 4 4 3 3 4 5 5 5 9 16 20 21 21 21 20 18 16 15 15 18 19 17 14 10 8 7 5 4 5 6 7 7 5 4 3 3 3 4 4 4 4 4 5 6 7 7 7 6 5 8 14 17 13 9 8 6 6 6 5 4 2 1 1 2 3 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 4 6 7 7 6 7 12 17 22 25 21 16 14 12 10 8 6 4 3 3 4 5 8 13 15 14 11 9 9 9 10 12 13 14 13 11 9 7 7 8 8 8 7 6 5 5 4 4 4 5 6 6 6 5 5 5 5 4 3 2 3 4 5 6 8 8 8 8 7 6 5 5 4 3 3 3 4 4 6 7 7 7 7 7 7 7 6 5 5 4 4 4 4 4 4 5 6 6 5 5 4 5 11 20 21 13 7 6 1 0 1 -2 -3 -1 13 30 35 19 5 0 -1 -7 -12 -10 -8 -5 0 4 7 8 8 7 7 12 23 28 22 13 10 9 7 9 10 10 12 15 12 10 7 1 1 7 8 4 2 8 11 9 6 4 5 8 9 11 6 3 11 5 2 6 10 9 6 6 5 4 5 7 6 1 3 8 10 9 3 4 11 12 9 -0 -4 1 5 8 16 19 8 -1 -1 6 12 14 4 -0 5 8 11 14 17 17 16 16 14 11 10 10 7 5 4 5 6 7 7 8 8 5 4 4 5 6 6 6 6 4 5 9 17 22 18 9 6 7 7 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 5 6 7 6 4 4 4 5 5 5 5 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 6 6 6 7 6 5 4 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 6 7 8 9 11 12 12 9 6 6 11 11 8 7 8 7 6 5 4 4 4 5 5 5 5 5 6 3 -2 -2 4 5 6 6 7 7 7 7 7 6 7 7 8 8 8 9 9 9 9 9 9 8 7 5 4 4 5 7 7 8 7 7 6 5 4 4 4 4 4 5 5 5 6 8 12 16 19 21 22 22 21 18 17 21 28 33 33 26 14 6 2 4 6 7 8 8 8 7 5 4 4 4 4 3 3 4 5 7 8 8 7 6 5 8 16 22 21 15 10 7 7 6 5 4 2 2 2 3 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 8 10 9 5 4 6 13 20 22 18 13 11 11 12 12 10 8 6 5 5 6 12 20 21 13 5 1 1 2 4 6 9 11 12 11 9 8 8 8 9 9 8 7 6 5 4 4 4 4 5 5 6 6 5 5 5 5 4 3 3 3 4 5 6 7 8 7 7 7 6 6 5 3 3 3 4 5 6 7 7 7 7 7 8 8 8 7 6 5 5 4 4 4 5 5 6 7 6 6 7 11 19 20 15 9 4 -1 -1 3 4 -1 -4 2 18 22 19 6 -7 -15 -19 -24 -24 -15 -7 -0 5 8 8 7 7 7 8 16 27 26 18 13 11 9 7 7 7 8 13 17 13 11 8 1 1 5 7 6 8 7 4 4 2 -0 3 11 13 12 8 6 10 6 4 3 4 8 9 8 7 8 10 11 10 6 4 5 9 11 4 5 8 11 11 4 4 6 6 6 13 19 10 3 6 7 1 -0 2 2 4 4 8 12 14 15 16 15 12 9 9 8 6 4 5 6 7 6 6 8 8 6 4 3 4 6 7 6 5 5 4 6 12 23 24 13 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 5 4 4 4 5 5 5 5 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 6 4 4 3 3 3 4 4 3 4 4 3 4 4 5 4 4 4 5 6 7 9 11 12 12 10 5 3 11 15 9 7 7 7 6 6 5 5 5 6 6 6 5 6 6 -0 -5 -1 5 6 6 7 7 8 8 7 6 6 7 8 8 8 8 8 9 9 10 10 10 10 8 6 5 5 6 7 7 8 8 8 7 5 3 4 4 5 6 6 6 6 6 6 6 8 12 16 17 16 16 13 12 15 26 43 52 41 21 8 3 3 6 8 7 7 8 9 9 6 5 4 4 3 3 4 5 6 8 9 8 7 6 10 16 19 20 17 11 8 7 6 4 3 3 3 3 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 10 11 10 6 3 4 9 14 13 8 4 3 5 9 11 13 12 10 9 8 9 16 20 16 6 -1 -4 -3 -2 -1 1 4 7 8 9 7 7 8 9 9 9 8 6 5 4 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 3 4 5 6 7 7 7 7 8 7 7 6 5 4 4 5 6 7 7 7 6 7 8 8 9 8 6 6 6 5 5 5 5 5 6 6 7 7 7 12 17 15 8 3 1 -3 -3 3 9 6 1 -1 3 6 4 -4 -9 -22 -31 -32 -27 -17 -6 2 7 8 8 6 6 7 10 12 20 27 22 17 15 14 10 6 5 4 6 13 16 14 12 8 2 3 7 7 8 11 5 -2 0 3 5 7 13 9 9 13 11 8 8 6 2 2 4 5 5 7 10 13 11 12 14 7 2 6 8 5 5 7 13 6 2 10 13 8 5 7 12 8 6 9 8 -4 -5 1 2 5 7 8 10 12 13 13 11 10 9 10 8 6 5 6 6 6 6 6 8 9 8 5 4 4 6 6 6 6 4 3 4 11 25 28 14 5 5 7 7 6 5 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 5 6 6 5 4 4 5 5 5 5 5 5 4 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 3 4 5 4 3 3 5 6 7 9 11 12 13 11 6 -0 5 13 10 7 6 6 6 6 6 6 7 6 7 6 5 7 7 1 -4 0 5 6 6 7 8 8 7 7 7 7 7 8 8 7 7 7 8 8 9 10 10 11 10 9 7 7 7 7 7 8 9 10 7 4 4 4 4 6 7 7 7 7 7 7 6 5 5 8 11 11 10 8 7 9 17 34 47 43 28 17 15 12 10 9 7 5 6 9 10 9 7 5 5 4 4 4 5 6 7 9 9 8 7 11 15 14 14 13 10 8 6 4 3 3 4 4 4 5 7 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 7 10 13 15 15 13 11 11 12 12 8 4 2 -0 0 5 11 13 11 9 8 11 15 13 7 2 -0 -1 -1 -1 0 2 3 4 5 7 8 8 9 8 8 6 5 4 3 3 3 4 5 5 5 5 6 6 6 6 6 5 4 3 3 4 5 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 8 7 5 5 6 8 9 9 8 6 5 5 4 4 5 5 5 6 6 8 9 9 6 1 -3 -4 -4 -5 6 14 13 11 7 9 9 2 -3 3 3 -3 2 9 15 18 19 15 11 6 4 4 7 14 22 27 23 20 18 14 10 8 6 7 9 7 4 6 11 10 12 13 16 12 5 2 1 6 7 4 3 3 2 4 9 7 1 -2 4 5 6 9 10 7 4 5 7 5 2 5 7 7 9 8 5 7 6 3 9 17 16 7 1 8 11 7 2 -5 -4 6 12 10 5 4 9 7 4 8 15 16 9 6 8 7 3 2 4 7 10 10 9 9 7 6 5 3 5 8 9 10 9 6 5 5 6 5 3 3 4 8 17 25 23 16 8 4 5 6 5 4 5 5 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 3 3 4 6 6 6 6 5 5 5 4 4 4 4 5 5 6 5 5 5 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 6 6 6 6 5 4 4 4 4 5 4 5 5 5 5 6 5 5 5 5 5 4 5 5 6 7 9 11 13 14 13 13 10 4 5 7 6 6 6 5 6 6 6 6 6 5 5 5 3 1 3 5 6 6 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 10 11 10 10 9 10 8 9 12 11 8 5 5 6 7 8 9 10 9 7 5 5 6 6 5 5 5 5 5 5 4 4 5 7 10 16 20 23 25 25 23 21 21 22 25 21 13 11 11 11 11 10 7 5 5 5 7 9 9 9 9 8 7 8 8 7 7 7 7 6 6 5 5 5 6 5 5 6 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 10 11 13 14 15 15 14 14 13 12 9 5 2 2 7 12 11 8 5 5 7 10 12 11 7 3 2 1 2 2 2 2 2 3 5 7 8 8 8 7 6 6 5 3 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 5 7 7 6 6 6 6 7 8 7 7 8 9 9 10 10 9 7 6 5 5 6 7 7 7 7 7 6 5 5 5 5 5 5 6 6 11 13 11 7 4 3 4 3 4 10 12 10 8 7 12 11 7 4 5 6 9 19 25 26 25 19 11 5 1 2 6 14 20 22 19 16 13 12 11 10 8 7 10 14 12 7 3 3 4 8 13 14 10 8 7 6 9 6 4 5 5 6 8 7 0 2 1 0 1 5 7 8 5 4 8 12 10 6 9 10 11 11 7 5 9 8 4 9 18 14 3 3 9 8 6 7 -3 1 10 9 3 -0 2 6 0 1 12 15 12 7 6 7 7 6 5 5 5 7 8 8 8 7 6 5 3 4 6 8 9 9 9 6 4 4 4 2 3 5 8 13 17 20 22 16 9 6 4 4 4 4 4 5 5 6 6 6 6 7 7 6 6 5 5 5 5 4 3 3 6 7 7 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 6 5 5 4 4 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 7 9 10 13 14 12 13 13 6 6 7 7 7 7 8 7 6 6 6 5 5 5 5 2 -1 2 6 7 7 7 8 8 8 8 7 7 8 7 7 7 6 6 6 7 6 6 7 7 7 7 8 9 10 11 11 10 10 11 13 12 9 7 6 7 8 8 8 9 9 7 5 4 4 5 5 5 5 5 5 4 4 3 3 4 5 8 10 13 14 16 17 18 21 27 35 33 23 19 18 17 15 12 10 10 9 7 6 7 8 9 9 7 6 5 6 6 7 7 7 7 7 6 6 6 6 5 4 5 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 7 9 9 8 10 13 15 15 14 13 13 11 9 7 7 11 13 10 6 4 4 4 6 10 12 12 8 4 3 2 2 2 1 1 3 4 6 7 7 7 7 7 7 6 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 5 6 7 8 7 6 6 7 7 8 8 8 8 9 10 10 9 9 7 5 5 5 5 6 6 6 7 7 7 7 7 6 5 4 4 5 5 7 9 6 3 5 6 6 5 5 4 6 12 11 6 9 15 15 12 10 7 8 14 20 22 19 14 6 1 -1 1 6 14 21 20 12 9 9 9 9 8 8 9 10 13 16 13 9 4 0 0 5 12 9 6 9 10 11 11 7 5 5 6 10 14 10 1 4 4 4 5 5 5 4 2 4 8 10 11 12 13 11 16 16 9 6 8 10 7 5 7 9 5 5 5 2 6 7 2 15 16 6 -3 -5 -0 6 4 3 8 11 8 4 4 6 11 13 10 6 6 7 7 7 6 5 6 6 4 4 5 7 7 8 10 10 6 3 2 2 3 5 6 8 11 16 21 20 18 14 6 3 4 3 3 5 5 5 5 6 7 7 7 6 6 5 5 5 4 3 3 5 8 8 7 6 6 6 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 7 8 9 10 12 13 11 10 9 7 7 8 7 7 8 9 7 7 7 6 5 5 5 4 0 -2 2 6 7 7 8 8 9 8 8 8 7 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 6 9 12 13 12 11 12 13 12 10 8 7 7 7 7 8 8 7 5 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 9 14 22 27 31 31 27 24 22 19 14 12 14 15 12 8 7 7 8 8 7 5 4 5 5 6 6 7 7 7 7 7 7 7 6 5 5 5 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 10 8 6 6 9 12 13 12 12 11 11 10 9 11 13 13 12 9 6 6 5 4 6 10 14 14 10 5 3 3 2 2 2 2 4 5 6 7 7 8 10 10 8 6 5 5 6 7 6 6 6 7 6 6 6 6 6 6 6 7 8 8 8 6 6 7 8 8 8 8 8 8 9 8 7 5 4 5 5 5 5 5 6 6 6 7 8 8 8 6 5 4 4 5 5 7 5 1 1 6 6 5 5 4 4 8 15 11 3 14 27 21 8 6 11 12 12 11 8 2 -2 -4 -3 1 6 15 24 23 14 6 7 9 10 10 9 8 7 9 11 14 12 12 9 5 2 1 5 6 7 8 9 10 10 9 11 11 8 11 13 10 7 6 7 10 8 7 6 3 1 5 10 9 10 16 13 10 15 15 6 4 9 13 11 7 8 12 8 4 5 5 5 -2 7 23 17 3 -6 -7 -1 9 13 8 4 8 8 3 1 8 17 19 12 7 8 8 7 6 4 4 7 8 7 5 5 6 5 5 9 12 11 6 2 2 3 4 5 5 7 11 14 18 24 22 12 6 5 3 3 4 5 5 5 6 6 7 6 6 5 5 5 5 4 2 2 6 9 9 7 7 7 6 5 4 4 5 5 6 6 5 5 5 5 5 5 5 6 5 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 8 9 10 11 12 11 10 8 6 7 8 6 6 7 7 6 7 7 6 5 4 5 3 -4 -3 3 6 7 7 7 8 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 6 4 4 7 12 15 14 12 13 12 10 8 6 5 5 5 5 6 7 6 4 3 2 3 3 4 5 5 6 6 6 6 6 5 5 5 4 4 4 3 3 4 5 8 13 16 19 22 23 21 21 21 18 16 18 19 16 12 9 8 8 8 7 5 4 4 4 5 5 6 7 7 7 7 7 7 6 6 5 5 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 10 8 6 6 6 7 8 9 11 11 10 10 10 11 13 14 13 12 9 8 6 3 2 7 13 17 14 10 7 6 5 4 3 4 5 6 6 8 10 14 18 20 16 9 5 5 7 8 8 7 6 6 6 5 5 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 6 5 4 4 4 5 5 5 5 5 6 7 7 7 7 8 8 7 6 4 4 5 5 6 6 8 9 9 8 6 6 5 4 8 12 6 1 17 34 26 9 3 2 -0 -2 -2 -5 -7 -6 -2 2 8 17 26 27 18 7 3 5 9 10 10 11 10 7 7 9 13 13 12 10 8 5 -0 1 5 7 5 7 10 10 10 13 12 9 10 7 4 5 6 10 11 6 9 8 5 4 9 11 10 13 18 11 8 7 3 3 6 11 15 15 14 18 17 10 5 7 11 5 -5 13 21 12 1 -4 -2 4 10 16 12 6 8 7 3 3 11 17 17 12 9 8 9 8 5 3 4 7 9 10 8 7 6 5 4 5 9 12 11 8 5 3 3 3 4 6 6 8 14 22 22 12 12 14 7 2 2 5 5 5 6 6 6 6 5 5 4 4 5 5 2 2 7 10 9 8 7 7 5 4 4 4 5 5 5 6 5 5 5 5 5 5 6 6 5 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 9 10 11 12 11 9 8 6 5 6 4 6 7 5 5 5 6 6 4 4 5 3 -5 -4 4 6 6 7 7 8 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 7 5 4 6 10 12 13 13 11 9 6 4 4 3 3 4 4 5 5 5 3 2 2 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 3 2 4 5 7 7 8 10 12 13 15 17 19 20 22 23 21 17 12 11 9 7 7 6 4 3 4 4 5 5 7 7 7 7 7 6 6 7 5 4 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 5 5 16 21 21 18 15 11 10 5 8 18 16 13 13 13 12 8 6 7 10 15 18 18 14 10 5 7 10 12 13 14 14 15 14 15 16 15 13 11 11 13 13 11 10 11 11 12 14 18 20 20 18 16 16 17 14 11 9 10 12 12 12 11 9 9 11 15 16 14 12 11 12 12 12 11 11 11 11 14 14 12 10 8 9 10 10 10 10 11 13 15 15 12 9 8 9 11 12 12 11 11 11 12 13 14 14 15 15 13 11 10 10 11 10 10 10 11 9 8 10 11 13 14 16 15 11 7 7 10 12 14 13 11 11 11 13 14 15 15 15 14 14 14 11 12 15 16 16 15 14 13 14 15 15 13 13 13 13 13 12 12 12 11 11 11 10 10 11 10 10 11 12 12 11 9 8 9 12 18 24 23 17 13 11 12 12 12 12 12 12 12 13 13 12 10 9 8 8 12 15 14 15 14 14 14 13 13 13 13 13 12 12 12 13 15 16 15 13 12 12 13 14 15 15 13 13 14 15 15 16 16 14 13 14 15 15 14 13 12 15 18 20 19 16 14 14 14 13 13 14 13 13 13 12 12 12 13 14 13 14 14 14 14 14 14 13 13 14 13 13 13 13 12 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 13 13 11 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 12 12 12 13 13 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 14 13 13 13 15 16 15 14 15 17 17 14 11 9 5 3 8 13 15 16 16 15 15 15 15 15 15 15 16 16 16 16 18 18 15 13 11 9 10 11 12 13 13 13 14 14 16 17 18 18 16 14 13 14 14 13 13 13 12 12 13 13 13 13 13 14 15 16 15 13 13 13 14 16 17 16 15 14 14 15 15 14 14 14 14 14 14 17 19 17 13 11 13 16 18 17 16 14 13 13 14 14 13 13 14 13 13 13 13 13 13 13 13 13 12 12 12 12 11 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 5 1 2 13 20 20 13 11 12 21 21 11 9 9 13 17 17 13 9 7 7 11 13 14 13 12 13 13 16 18 17 14 12 12 13 13 11 9 8 7 8 11 13 16 17 17 15 14 15 13 12 11 11 13 12 10 10 9 8 9 11 13 14 13 13 14 14 13 13 11 12 13 15 16 13 12 11 10 9 10 11 10 10 11 13 13 11 9 8 9 10 11 11 11 11 12 12 13 13 14 14 14 13 12 10 10 11 12 11 11 12 10 9 10 11 13 15 16 13 10 10 10 11 11 13 13 12 10 11 13 14 15 15 14 14 13 12 13 14 14 15 15 15 14 13 14 13 14 14 14 13 13 12 12 12 12 12 11 12 11 10 10 11 11 12 12 13 12 10 7 4 4 8 19 27 25 21 15 12 12 12 12 12 11 12 12 13 13 12 11 11 10 11 11 12 13 14 14 14 14 14 14 14 13 12 12 12 12 13 15 15 13 12 10 10 12 14 15 15 14 13 12 11 16 19 16 14 15 15 15 14 12 8 7 10 14 17 17 17 16 15 14 14 14 14 14 13 12 12 13 14 14 14 15 14 14 15 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 11 11 11 11 12 11 10 11 11 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 16 17 17 16 13 8 5 5 7 9 13 15 15 15 15 14 15 15 15 15 16 15 14 15 16 17 18 17 13 10 9 10 12 13 13 13 14 14 14 14 13 13 13 13 14 14 14 14 13 14 13 13 12 13 13 14 14 13 13 14 16 15 14 12 12 14 17 17 16 16 15 13 13 15 16 15 15 15 14 14 14 16 19 17 13 11 13 14 15 15 14 13 13 13 14 15 15 14 14 14 14 13 14 13 13 13 12 12 12 12 11 11 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 9 9 18 17 13 7 8 10 12 12 10 8 10 11 11 10 12 12 12 14 16 14 15 15 13 13 13 14 14 13 10 10 8 5 6 7 9 9 10 10 9 11 12 12 11 10 10 10 11 12 11 11 11 10 9 9 10 12 13 14 13 12 12 12 13 14 15 15 14 12 11 11 10 11 11 8 8 10 10 10 9 10 11 11 10 10 11 11 12 12 12 13 13 13 13 13 11 11 10 10 11 12 13 13 12 10 10 12 14 15 15 13 11 11 11 12 13 14 14 12 9 10 12 13 13 13 13 13 13 13 15 15 14 15 15 15 14 14 13 12 13 14 14 14 13 13 12 12 12 11 12 12 12 11 11 11 11 12 12 13 12 11 10 6 1 -0 5 15 21 23 22 17 13 12 13 13 11 11 12 13 13 12 13 13 12 12 11 11 12 13 13 14 14 15 16 16 15 14 14 14 13 13 14 15 14 14 12 11 11 13 15 16 16 14 11 10 14 18 16 15 14 14 14 15 16 13 8 8 10 12 15 16 17 17 15 15 14 14 14 13 13 13 14 14 14 14 14 15 14 14 14 13 13 13 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 11 11 12 12 13 13 13 14 14 14 14 14 15 15 16 17 17 18 18 18 15 11 8 8 11 14 15 16 15 15 15 14 13 14 15 16 16 15 15 14 14 14 15 15 14 12 10 10 11 12 13 13 13 14 14 14 13 13 12 12 13 13 14 14 14 14 14 13 12 11 12 13 14 14 15 14 14 15 14 12 12 13 16 17 17 16 15 14 13 14 14 16 16 15 16 16 15 13 14 20 19 13 12 11 12 11 12 14 14 12 13 14 13 14 15 15 14 14 14 14 14 14 14 14 13 13 12 11 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 13 15 14 13 15 14 11 8 8 10 13 17 16 13 13 13 13 13 13 14 13 14 16 14 9 5 4 4 5 5 5 6 8 9 11 10 10 10 8 9 11 13 14 14 13 10 6 5 7 10 13 13 13 11 11 11 12 14 14 14 13 12 12 11 9 9 7 5 5 7 9 10 11 12 14 11 8 9 10 11 12 12 12 12 12 12 12 13 12 12 11 9 10 12 14 13 11 10 11 13 14 14 14 13 13 12 12 11 12 13 15 14 11 10 11 13 13 13 12 12 14 15 15 14 14 15 15 16 15 14 13 13 14 13 13 14 13 13 13 13 12 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 8 3 1 4 10 17 25 25 17 13 13 13 12 12 11 12 13 13 13 13 13 13 12 12 12 13 13 12 12 15 19 21 19 15 16 16 15 15 15 14 13 13 13 12 11 12 13 14 15 14 13 12 13 15 15 15 15 15 14 15 16 16 14 11 9 10 12 13 15 16 15 14 14 14 14 14 14 14 14 15 14 14 14 14 14 13 13 13 13 13 12 13 12 12 12 11 11 11 12 12 11 11 11 11 11 12 12 12 13 13 13 13 14 14 14 12 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 11 10 10 11 11 12 12 13 12 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 12 12 12 11 11 12 13 13 14 14 14 14 14 15 16 16 17 18 19 18 17 16 15 13 11 10 12 15 16 15 14 14 15 15 14 15 15 16 17 16 15 14 13 12 12 14 14 14 13 13 13 12 12 13 13 13 13 13 13 12 12 12 13 14 13 13 13 13 13 13 12 12 12 12 13 14 14 15 15 15 15 14 12 12 13 15 16 16 15 14 14 14 14 14 15 16 16 15 16 16 16 16 19 20 16 13 11 12 12 13 14 14 12 12 12 13 14 13 13 13 14 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 11 13 15 16 15 14 14 15 16 17 16 14 14 15 14 14 12 8 7 7 9 9 10 10 7 6 7 8 8 9 10 11 12 12 13 14 12 10 8 8 9 11 11 12 11 11 11 12 12 12 12 12 12 12 11 10 9 7 6 7 9 10 11 12 13 15 11 7 7 8 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 11 11 12 13 14 14 14 14 13 13 12 11 11 12 15 15 12 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 14 15 15 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 12 12 11 11 12 13 13 13 13 14 11 8 5 4 9 23 30 22 17 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 10 7 7 15 24 22 18 18 17 16 16 16 15 13 12 12 12 12 12 12 11 12 13 12 12 13 13 13 13 13 13 13 14 14 15 13 12 11 11 10 11 12 14 15 15 14 13 14 15 15 16 16 15 15 15 15 15 14 13 13 13 12 12 12 12 13 13 12 11 11 11 12 11 12 13 13 13 14 15 15 15 15 16 15 15 14 13 12 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 9 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 13 12 13 12 11 11 11 12 12 12 12 11 12 13 13 14 14 14 14 14 15 16 16 17 18 17 17 15 12 11 12 13 12 12 13 15 16 15 14 15 15 15 15 15 16 16 16 15 13 12 11 11 14 16 17 17 15 14 13 12 11 11 12 13 13 12 12 11 11 12 13 14 13 13 12 11 11 12 13 13 13 14 14 15 15 14 14 14 14 14 13 13 14 15 14 13 13 13 14 14 13 13 14 16 16 16 14 13 14 17 21 21 17 14 13 12 13 14 14 14 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 7 5 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 3 2 1 0 0 0 0 1 2 4 5 7 8 9 9 10 12 12 12 10 6 4 4 4 4 4 5 5 4 4 5 5 6 6 6 6 7 7 7 7 3 0 0 0 0 0 0 1 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 0 0 0 0 0 0 0 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 14 14 15 14 14 12 7 3 0 0 0 0 0 0 0 3 15 30 50 73 80 57 27 16 27 52 58 45 34 35 57 83 99 110 113 111 111 113 112 109 110 115 119 120 120 122 128 132 132 129 126 122 115 96 63 32 18 22 24 18 10 4 1 1 8 16 19 16 24 30 16 18 26 33 36 36 38 51 74 94 107 116 115 107 95 88 91 97 97 100 117 120 96 76 86 106 112 118 122 122 120 106 80 66 76 85 78 66 64 66 73 96 127 149 161 171 171 167 166 158 139 123 118 121 122 138 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 8 7 6 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 2 1 0 0 0 0 1 1 2 3 4 5 7 8 10 10 10 7 5 4 3 2 3 3 3 3 3 3 3 4 5 6 6 7 8 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 12 9 8 4 0 0 0 0 0 0 0 0 0 5 6 2 1 1 9 17 19 20 20 21 15 6 1 0 0 0 0 0 0 0 0 13 27 37 62 81 70 42 33 47 52 40 24 18 25 50 74 88 99 102 102 101 101 104 106 106 108 112 113 114 119 126 131 132 131 128 124 121 114 94 67 41 28 24 24 5 1 0 0 2 10 9 11 19 27 7 11 22 30 26 14 7 11 34 67 84 104 117 114 103 88 83 90 101 110 120 122 115 109 111 110 109 112 116 119 120 118 111 109 121 123 119 113 108 104 99 108 134 162 176 185 179 169 161 146 126 110 102 105 116 132 128 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 nan 9 8 8 8 7 6 5 5 4 3 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 1 1 2 2 4 6 7 8 7 5 4 3 2 1 1 1 1 1 1 1 1 2 3 2 5 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 8 14 14 8 1 0 1 3 3 1 0 0 2 12 15 9 5 8 15 20 21 21 22 20 12 3 0 0 0 0 0 0 0 0 1 11 25 30 52 83 86 70 58 55 42 31 21 18 31 55 65 74 82 84 86 86 92 90 101 101 102 106 109 111 114 120 126 129 130 128 125 121 117 111 99 80 67 58 56 46 34 29 15 14 29 34 42 44 37 24 28 35 35 24 11 12 12 22 60 83 97 114 117 111 96 83 82 91 102 110 114 115 114 109 105 103 107 111 111 108 103 102 102 111 125 131 136 135 128 119 122 142 166 178 184 178 164 149 132 114 99 87 88 108 130 126 114 nan nan nan nan nan nan nan nan nan nan 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 11 8 7 6 7 7 7 6 6 5 4 3 3 3 3 3 4 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 2 3 4 6 7 7 5 4 3 2 0 0 0 0 0 0 0 1 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 4 7 9 5 1 0 3 5 6 6 7 10 17 20 16 10 12 21 24 23 22 21 20 16 8 1 0 0 0 0 0 0 0 0 2 11 24 30 44 74 91 88 68 48 33 27 20 15 27 50 57 62 67 69 72 71 72 73 88 93 96 100 105 108 111 115 119 124 127 127 125 121 117 113 109 104 93 85 76 74 72 71 60 49 58 71 69 56 47 42 42 48 47 28 8 16 40 69 101 116 113 114 117 117 109 94 84 83 89 98 103 104 104 102 100 100 107 113 114 110 102 96 91 92 104 115 125 133 136 137 142 157 171 177 179 176 162 143 122 106 92 80 78 100 129 132 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 20 16 10 8 7 7 8 8 8 8 7 7 6 5 4 4 3 4 4 4 4 4 5 4 3 2 2 1 1 0 0 0 0 0 1 2 4 5 6 7 7 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 4 0 1 2 5 6 8 11 15 16 16 21 26 25 17 14 22 36 33 25 22 20 18 14 6 0 0 0 0 0 0 0 0 0 1 4 16 30 37 57 75 74 50 33 24 16 9 6 6 14 33 45 57 63 64 62 50 62 66 76 84 88 96 101 104 109 114 118 120 120 119 117 113 110 108 106 103 97 88 85 86 84 78 71 70 75 76 61 47 58 59 71 90 76 20 15 60 102 127 130 119 113 116 119 116 108 96 90 94 102 103 102 100 100 99 102 108 115 118 118 115 109 101 95 95 99 104 115 134 150 162 176 187 186 187 184 171 153 132 111 95 81 77 92 121 137 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 17 15 12 9 7 8 8 8 8 8 9 9 8 6 5 4 4 5 5 5 5 5 5 5 4 3 3 2 1 0 0 0 0 0 2 5 5 7 8 7 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 11 15 16 19 20 20 21 27 42 39 24 23 36 45 34 24 21 19 16 11 2 0 0 0 0 0 0 0 0 0 2 12 24 31 34 40 48 52 37 21 14 7 1 0 0 1 0 14 33 47 53 50 43 44 46 52 62 64 72 80 84 93 105 106 103 100 102 106 105 102 101 102 101 98 92 87 87 87 82 74 66 66 73 75 67 79 82 97 131 136 90 62 91 118 131 126 112 109 110 108 104 104 104 102 105 113 115 114 111 108 108 109 112 115 118 121 122 123 117 108 102 96 92 97 122 150 168 184 200 209 200 191 175 163 147 126 104 86 78 81 104 126 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 10 14 16 15 12 10 10 9 8 7 8 9 10 9 8 6 6 6 6 7 7 6 6 6 6 6 5 4 4 3 1 0 0 0 0 2 3 4 5 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 10 11 15 19 21 22 21 20 21 26 34 40 36 35 40 37 27 21 19 16 12 6 2 1 0 0 0 0 0 0 0 0 1 10 24 30 33 37 41 38 27 12 7 3 0 0 0 0 0 0 8 19 27 28 33 38 40 41 43 46 51 54 58 66 75 75 75 73 72 78 84 85 91 94 98 95 90 84 81 82 84 82 72 61 63 84 102 123 125 126 148 162 149 128 138 141 134 123 110 108 106 98 87 86 92 99 106 114 115 116 116 116 116 118 119 119 118 120 123 124 124 120 115 107 98 95 111 144 168 179 192 205 197 194 170 162 153 135 113 94 82 78 87 106 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 9 11 12 12 12 13 13 10 7 5 6 8 10 10 9 7 7 7 8 8 8 7 7 8 8 8 6 6 5 4 2 1 1 2 2 3 3 2 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 2 3 2 5 9 12 16 20 22 22 19 18 20 23 24 26 28 30 28 22 19 15 12 9 6 2 0 0 0 0 0 0 0 0 0 0 0 2 18 25 28 31 33 33 22 7 2 1 0 0 0 0 0 0 1 3 5 6 11 22 26 27 32 40 45 46 43 42 47 54 55 50 47 50 54 57 63 80 92 94 93 87 79 76 82 87 83 70 64 81 102 134 145 150 146 155 154 149 144 141 134 126 118 116 111 97 81 74 76 84 92 97 98 98 102 110 118 124 128 126 123 121 124 126 126 127 126 121 115 109 116 142 165 177 184 192 187 189 174 164 155 139 120 103 91 83 86 98 106 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 5 7 11 15 17 15 10 4 3 5 9 12 12 10 8 8 8 9 9 9 8 9 9 9 8 8 8 7 5 4 3 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 12 6 2 2 6 6 3 2 5 7 12 19 22 20 17 16 18 20 19 18 18 19 20 18 13 9 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 12 19 19 18 23 18 6 1 0 0 0 0 0 0 0 0 0 0 0 1 0 4 10 16 27 40 45 45 38 34 34 35 32 26 30 36 44 54 71 92 101 102 98 90 82 88 96 97 93 90 94 103 123 135 136 138 142 143 143 143 141 137 131 127 125 120 109 92 81 77 77 84 89 84 75 73 88 109 124 132 133 130 126 124 121 123 128 132 131 129 126 127 134 140 149 163 178 187 188 180 169 160 145 127 113 105 103 102 98 88 75 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 2 1 3 8 12 16 18 14 8 4 3 7 12 16 15 12 9 8 9 10 10 10 10 10 10 10 10 9 8 8 6 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 16 24 22 13 7 8 12 11 8 8 8 5 7 15 21 21 17 14 15 17 17 15 12 11 12 12 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 2 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 25 37 46 45 39 33 26 18 12 10 8 21 45 58 94 114 120 116 113 114 114 118 120 124 126 127 124 128 131 133 136 138 139 141 143 142 140 136 132 130 128 123 111 97 89 84 89 96 92 76 62 69 90 113 124 128 129 128 125 119 120 127 134 136 134 128 119 111 102 94 108 145 167 176 178 169 159 147 135 128 127 127 119 98 67 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 2 3 3 2 3 7 10 11 14 17 16 10 6 6 10 15 19 18 14 10 8 9 10 11 10 10 10 10 10 10 9 8 7 6 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 28 39 33 17 9 13 19 17 13 13 13 10 9 13 18 22 20 17 15 16 17 15 11 6 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 22 37 44 46 40 30 24 16 8 3 2 24 48 85 120 138 136 134 140 143 139 139 144 144 143 145 143 135 132 136 138 139 141 143 143 141 139 136 134 132 129 124 112 101 95 98 103 106 98 81 73 79 94 106 114 120 123 124 122 123 130 136 138 133 121 106 93 81 65 59 84 123 154 171 165 153 146 140 140 150 158 146 113 78 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 nan nan 0 0 2 2 2 2 3 6 8 9 11 15 19 19 15 10 9 11 16 20 20 15 10 7 8 10 10 11 11 12 12 11 10 8 7 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 22 34 41 35 19 8 11 18 18 16 17 17 16 16 16 17 21 22 21 18 16 16 16 12 5 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 18 33 43 43 44 44 34 17 9 5 18 41 75 115 143 150 146 146 148 149 149 149 144 138 135 138 141 140 139 139 139 140 142 142 140 139 137 136 135 132 127 121 111 105 109 109 115 115 105 91 83 82 88 98 108 116 120 123 128 133 137 136 130 120 106 90 77 68 55 47 75 124 163 160 148 143 139 142 156 169 168 144 116 104 nan nan nan nan nan nan nan 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 3 1 0 0 2 4 8 10 10 13 18 21 21 17 12 10 11 16 21 21 18 12 8 8 9 11 12 13 13 12 11 9 8 7 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 5 16 25 30 33 36 33 22 13 14 18 19 19 21 23 24 24 23 21 21 23 23 21 17 15 14 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 25 28 38 53 53 39 24 19 28 42 70 107 137 148 147 142 140 145 150 148 141 135 129 133 143 147 144 142 139 138 140 139 138 137 137 137 137 132 126 121 115 112 112 110 115 120 117 107 97 90 85 88 99 111 118 125 134 137 135 128 120 115 112 103 87 80 78 73 72 104 141 150 146 142 137 137 146 158 161 152 137 123 117 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 0 1 3 1 0 0 0 2 5 11 12 12 14 18 22 21 18 13 10 11 16 21 22 20 13 8 6 8 11 13 14 13 11 10 9 8 6 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 28 38 38 32 32 34 27 20 20 21 20 22 26 28 28 29 29 27 25 22 20 20 18 13 10 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 25 45 58 63 68 66 58 57 74 103 126 133 128 129 133 135 137 136 131 131 131 136 144 150 150 146 142 139 137 134 134 134 134 135 134 130 125 120 115 113 113 112 114 118 120 115 108 101 94 91 98 107 120 134 144 142 133 120 105 98 106 113 107 98 94 99 107 116 126 138 145 144 138 132 133 138 140 138 131 118 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 2 2 0 0 0 0 0 1 9 11 12 15 19 23 24 19 13 10 10 14 19 22 19 13 7 5 7 10 12 12 10 8 9 9 8 6 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 31 41 38 32 34 37 30 24 23 22 22 26 31 29 29 28 29 28 25 21 17 15 13 7 3 2 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 5 12 19 33 48 62 82 95 90 84 92 106 119 122 117 121 131 137 128 121 114 115 130 138 146 155 153 148 145 141 137 133 131 130 130 131 131 128 125 120 115 112 112 114 116 119 120 117 111 104 100 96 101 102 114 134 144 140 131 116 98 83 88 106 118 115 105 107 122 125 120 131 147 150 141 128 124 127 130 127 120 106 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 0 0 0 0 0 0 0 0 0 0 2 6 10 13 18 23 27 22 17 13 11 9 12 17 20 19 13 7 5 7 9 9 8 6 7 8 8 8 7 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 25 32 30 22 24 29 27 25 24 22 22 28 33 30 28 26 25 24 21 18 15 10 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 1 5 10 15 24 36 46 60 75 86 86 89 97 107 117 121 121 128 136 128 118 106 103 122 132 148 159 154 147 145 144 142 137 132 129 128 129 130 129 126 122 118 114 114 117 121 123 123 119 110 103 98 98 104 107 113 126 133 132 125 116 102 83 79 97 118 122 115 109 114 121 120 134 153 157 143 125 117 120 120 108 93 77 70 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 5 3 2 1 0 0 0 0 0 0 0 2 6 12 18 22 26 23 19 17 15 11 8 10 15 21 20 14 9 8 8 8 7 5 4 4 6 7 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 21 18 12 11 12 23 28 28 26 26 30 33 30 25 22 19 17 15 13 11 8 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 1 3 6 10 16 25 35 38 38 42 49 49 55 63 84 107 121 127 128 126 121 109 101 111 124 143 155 153 146 144 144 143 140 135 130 127 129 131 131 127 123 121 116 115 122 125 126 129 126 115 105 102 102 107 113 118 124 126 123 120 115 105 94 92 104 120 128 127 117 110 113 120 137 158 155 140 120 108 102 91 74 56 43 38 nan nan nan nan nan 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 5 2 0 0 0 0 0 0 0 3 8 13 18 21 22 21 18 17 15 10 8 10 14 19 19 16 14 13 12 9 6 3 2 2 3 5 5 6 6 5 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 17 13 9 8 10 22 32 33 32 30 31 31 28 24 19 14 10 8 7 6 7 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 27 29 26 24 23 20 14 16 29 51 92 120 124 122 123 116 105 103 112 127 141 147 145 142 141 138 136 131 126 124 126 128 130 126 122 123 118 110 119 127 130 133 133 124 114 112 112 113 118 123 127 125 121 119 115 109 102 105 119 129 134 138 125 110 108 112 124 122 124 122 110 97 84 67 54 46 36 32 37 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 10 11 10 9 8 5 2 1 0 0 0 0 0 1 2 5 9 12 16 17 15 15 16 15 12 9 9 11 14 17 19 20 18 13 8 5 4 2 1 1 2 4 6 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 17 15 12 15 21 29 34 34 32 30 27 26 25 22 17 10 6 5 6 6 7 6 5 5 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 21 23 24 23 18 12 4 1 3 8 45 94 116 121 125 123 113 103 99 105 121 134 140 139 137 133 130 124 119 116 117 122 125 127 126 125 120 115 118 126 132 135 136 130 122 120 121 120 122 126 127 126 123 121 119 113 106 111 126 134 138 134 123 109 99 97 102 108 109 110 105 95 85 72 65 69 73 77 79 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 9 9 9 10 9 8 8 7 5 4 1 0 0 0 0 0 1 2 4 6 8 10 11 14 18 20 16 11 8 7 10 16 22 20 15 10 7 5 4 2 0 0 2 4 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 17 18 27 33 33 30 26 23 19 19 19 20 19 14 7 4 4 5 6 6 5 5 5 6 7 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 1 0 0 0 0 0 1 4 4 9 15 18 17 12 8 3 1 0 0 16 51 89 115 127 126 121 109 93 88 97 112 128 138 138 132 128 123 117 111 109 116 123 128 131 128 121 118 120 122 129 134 137 136 129 127 128 126 124 125 124 123 121 120 122 120 113 113 121 128 131 130 120 107 98 90 90 98 110 116 114 109 102 98 99 108 119 127 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan 28 19 14 13 11 9 9 10 12 14 12 8 5 4 4 4 4 2 1 0 0 0 0 2 5 8 15 16 14 12 9 9 12 18 18 12 8 6 5 3 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 12 8 6 6 5 5 4 4 5 5 4 3 4 4 5 6 7 7 8 8 8 8 8 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 1 2 5 7 6 11 28 38 25 14 6 1 1 8 12 14 10 3 0 0 0 0 0 0 0 0 2 17 52 92 118 129 134 106 84 73 74 90 117 132 136 133 126 121 114 106 102 104 107 113 119 118 117 120 122 126 131 139 148 147 147 144 141 136 128 120 114 113 116 122 124 122 117 114 112 109 104 103 110 122 122 118 120 126 130 128 124 122 121 117 119 120 114 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
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nan 42 43 46 49 45 38 34 33 33 32 30 28 27 32 34 30 23 18 16 18 23 29 33 36 37 36 30 19 12 11 11 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 7 5 3 2 4 7 7 5 1 0 0 0 0 0 0 0 0 1 2 5 8 10 9 6 6 5 5 5 6 6 6 6 5 6 7 5 4 4 5 6 6 6 11 17 20 16 8 4 1 0 1 8 15 17 18 23 33 36 38 38 39 40 37 35 35 35 34 30 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 24 32 40 49 52 38 19 9 12 37 62 67 57 43 38 59 93 112 114 96 91 100 109 121 136 152 164 167 159 148 141 139 143 140 128 117 112 111 109 110 116 118 120 120 121 129 137 130 118 106 97 93 90 88 89 90 93 92 86 77 73 73 67 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 30 34 39 46 49 49 47 44 41 39 35 31 27 27 28 29 27 23 19 17 16 17 22 27 31 32 32 28 24 22 18 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 5 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 3 3 2 1 2 2 1 0 1 2 4 6 8 8 8 9 8 7 4 4 4 6 7 5 2 0 0 0 0 0 0 0 0 0 1 2 5 9 9 8 6 6 6 6 6 7 7 7 10 14 15 11 8 7 7 7 6 7 9 14 19 22 20 14 8 4 4 8 14 16 16 18 28 34 37 38 42 41 34 31 34 39 39 34 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 24 29 32 34 28 15 4 0 12 36 49 49 41 36 48 78 106 122 112 99 101 105 110 120 136 153 161 159 154 150 152 154 149 137 124 117 110 104 108 119 122 121 122 122 120 122 116 108 105 102 95 92 89 89 89 93 96 93 84 80 84 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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9 17 25 33 41 50 58 62 62 58 55 50 45 41 36 32 29 29 28 26 22 18 14 11 10 11 15 23 33 40 44 42 36 25 16 10 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 1 0 0 0 0 2 2 1 1 0 0 0 0 1 1 3 5 7 8 8 8 9 11 13 14 14 12 10 9 8 7 6 6 6 7 7 6 6 6 7 8 9 9 8 7 7 6 4 2 4 4 5 6 7 8 6 2 0 0 0 0 1 2 2 2 2 2 4 8 11 12 11 11 11 12 14 17 20 23 28 30 30 29 27 25 23 21 20 17 14 12 13 16 19 21 21 18 16 16 18 18 18 21 26 27 31 40 43 41 37 34 35 36 34 26 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 14 7 2 0 1 0 0 4 10 15 15 28 58 81 108 125 126 119 113 110 110 116 128 143 151 152 154 162 166 164 156 144 130 111 100 103 117 128 128 125 122 115 107 106 111 126 129 123 116 111 108 105 106 108 108 100 92 90 93 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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63 78 88 96 107 112 100 74 50 34 35 45 48 34 18 15 39 70 84 77 73 75 77 80 96 100 87 68 52 33 17 11 14 37 68 81 84 85 92 107 121 120 114 112 111 104 94 85 78 74 76 83 94 102 101 89 78 73 72 71 68 66 64 68 75 84 90 96 102 110 117 122 123 119 112 103 91 78 71 70 70 62 44 26 17 22 31 36 33 25 17 11 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 5 5 5 5 4 5 4 4 3 4 8 13 17 21 23 23 23 23 22 22 20 16 12 8 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 2 7 18 43 89 102 77 53 42 34 26 22 39 76 102 93 81 77 79 84 85 83 83 85 86 81 70 61 62 72 89 93 102 103 94 88 101 120 130 131 126 130 146 160 154 140 118 98 84 76 73 70 58 38 24 31 78 116 114 96 88 90 91 91 96 102 97 90 86 85 86 86 84 78 71 65 63 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
38 53 64 77 99 113 115 101 79 58 56 69 73 63 47 37 55 86 104 102 93 83 81 86 107 121 101 75 55 38 26 26 37 61 87 94 87 90 103 116 123 121 114 109 102 91 79 68 59 54 57 70 86 98 98 89 79 75 76 78 77 76 76 80 89 98 99 97 94 92 93 100 110 112 109 101 90 79 73 70 64 52 34 21 18 27 36 41 41 39 33 26 18 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 5 5 5 5 5 5 5 4 4 5 10 14 18 21 23 22 22 23 23 22 20 16 13 9 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 41 92 101 83 60 47 38 31 30 45 83 104 94 84 76 73 73 74 73 73 72 70 63 53 48 48 50 71 84 90 88 86 87 96 116 128 125 120 123 138 156 162 160 149 124 99 85 78 74 59 39 27 36 76 118 125 101 83 84 86 85 87 94 97 98 98 95 89 83 77 69 64 71 77 70 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 37 53 74 104 108 101 100 93 78 67 73 86 91 89 86 94 116 127 114 89 69 61 66 88 113 121 100 75 59 53 57 71 88 96 90 81 88 109 123 123 114 108 104 96 83 71 59 48 41 47 64 84 95 98 92 82 77 77 80 82 81 83 92 103 109 107 98 84 71 66 72 85 94 95 87 77 69 65 60 48 35 26 22 24 33 39 41 43 45 46 42 31 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 3 4 4 4 4 5 5 4 4 5 5 5 4 4 7 12 15 18 21 22 21 21 23 24 22 19 16 13 9 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 14 47 88 97 86 72 58 44 35 37 53 83 98 89 79 69 62 60 61 64 64 63 60 51 37 29 28 33 42 54 62 64 66 71 79 96 106 104 108 126 141 151 157 160 159 149 129 109 94 80 59 41 31 38 72 118 139 119 94 86 86 87 89 93 97 102 107 107 101 92 83 71 64 73 77 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 30 52 78 92 75 59 72 82 78 67 61 70 86 100 107 109 122 125 104 77 58 43 38 52 85 115 123 106 88 84 89 98 103 96 83 77 85 102 114 113 105 98 98 97 90 77 61 45 35 42 60 83 95 100 96 87 79 76 78 81 84 89 103 118 122 114 101 83 67 60 62 68 68 67 65 59 55 51 44 36 30 27 26 29 33 36 38 42 48 51 50 40 23 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 4 4 4 4 4 4 4 4 5 5 5 7 12 15 16 17 20 22 21 21 23 26 24 19 16 12 9 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 1 3 6 10 15 18 12 12 28 60 90 94 82 73 64 51 40 38 60 76 85 80 69 58 49 46 47 49 52 54 55 49 34 20 12 13 19 28 40 52 56 52 48 56 63 69 84 105 122 137 148 154 160 168 155 142 128 104 75 51 38 41 67 107 136 135 111 97 92 92 97 100 104 107 109 108 106 104 103 90 80 78 68 41 20 nan nan nan nan nan nan nan nan nan nan nan nan nan
24 38 62 75 68 46 35 44 54 57 58 54 55 67 82 91 99 107 110 99 84 69 52 36 37 62 100 127 133 129 123 118 115 109 97 84 80 86 96 100 101 100 96 100 107 103 89 69 50 40 44 60 81 95 101 101 93 83 77 77 82 88 97 114 132 135 124 105 85 70 62 60 60 57 54 51 47 43 41 39 36 34 33 32 31 31 30 31 33 41 47 47 39 25 11 3 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 4 4 4 4 3 3 4 4 6 5 5 10 16 18 16 17 20 21 20 22 24 27 25 20 16 12 9 8 6 5 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 2 7 17 34 38 33 36 53 73 82 75 64 59 56 51 46 45 56 65 70 68 61 51 41 36 34 34 36 41 48 52 44 28 14 8 9 12 19 28 42 46 42 38 39 44 52 62 79 103 126 137 140 155 152 151 146 129 103 72 49 44 62 97 125 134 120 108 102 100 101 103 106 108 111 110 111 110 114 108 98 87 66 34 9 nan nan nan nan nan nan nan nan nan nan nan nan nan
50 58 68 68 57 42 31 27 27 32 41 55 62 70 80 87 93 98 103 107 106 96 79 60 50 62 91 114 126 135 137 132 125 119 110 97 90 95 102 104 106 109 111 119 132 126 106 80 62 55 57 67 80 92 100 106 101 89 80 81 88 97 106 121 136 140 129 106 85 71 63 56 50 46 42 40 39 39 42 45 47 47 45 43 40 36 32 28 25 27 32 34 29 21 12 4 0 0 0 0 0 0 0 0 0 0 2 4 4 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 6 5 4 4 4 4 4 4 4 5 6 5 6 14 20 19 16 16 19 20 21 23 25 26 24 20 16 12 9 8 8 6 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 2 11 25 34 37 47 61 68 62 49 38 33 34 38 43 49 52 56 60 62 58 50 42 34 28 23 23 26 35 44 48 44 33 24 20 16 15 20 29 39 42 40 37 35 31 30 42 63 85 102 114 126 132 137 141 138 125 95 62 47 60 89 112 121 119 115 114 116 114 109 104 100 103 109 114 115 118 118 112 100 81 52 27 nan nan nan nan nan nan nan nan nan nan nan nan nan
64 52 49 52 54 55 47 32 21 25 46 72 86 89 96 99 93 86 89 100 112 116 110 98 87 86 94 100 107 118 126 127 126 126 123 117 111 116 122 125 127 131 138 148 159 144 112 89 80 78 75 74 79 88 98 106 107 98 87 88 99 107 112 120 131 138 131 111 90 75 65 52 44 37 31 31 36 42 50 58 63 66 64 59 51 43 35 28 22 19 19 20 19 16 11 5 1 0 0 0 0 0 0 0 0 0 2 4 3 6 7 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 1 3 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 8 17 22 20 16 16 19 21 22 24 26 25 23 20 16 12 9 8 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 16 26 31 37 44 46 36 23 15 14 16 22 32 43 48 49 52 55 57 52 45 38 31 25 21 20 24 30 35 38 39 36 35 31 26 29 37 44 46 44 41 36 26 18 23 36 50 63 74 87 102 117 129 137 137 115 82 63 65 81 101 112 116 118 122 133 138 130 117 103 96 99 107 112 115 120 119 114 101 80 66 nan nan nan nan nan nan nan nan nan nan nan nan nan
40 21 21 30 44 59 65 54 37 39 64 85 92 93 100 104 92 73 68 75 89 108 125 130 122 109 102 97 93 94 99 108 120 127 132 138 140 137 134 133 137 140 140 139 125 94 79 84 89 93 85 77 78 86 97 107 113 110 101 97 106 114 112 112 121 130 130 116 98 82 68 53 41 33 30 34 44 55 65 72 76 76 72 65 54 45 38 32 26 19 14 11 10 9 8 5 1 0 0 0 0 0 0 0 0 1 2 5 5 3 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 1 3 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 10 18 23 21 18 19 22 23 25 27 27 25 23 20 16 12 9 8 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 28 30 31 29 22 16 13 12 12 17 24 34 42 45 46 48 49 48 45 40 34 29 25 23 22 23 25 25 26 30 34 33 30 33 42 51 55 54 53 48 34 19 20 26 35 42 45 54 72 95 116 129 137 125 106 91 84 82 89 102 111 115 120 137 147 147 138 120 101 92 92 94 100 109 113 114 110 101 97 100 nan nan nan nan nan nan nan nan nan nan nan nan
18 4 5 15 31 50 65 67 58 52 63 71 68 72 92 104 92 70 56 57 63 79 106 128 135 125 109 92 76 65 68 85 110 128 139 151 154 142 126 123 130 127 107 83 55 32 42 72 95 100 94 85 85 96 109 120 127 126 117 107 108 112 107 104 109 120 125 117 102 87 74 62 50 45 46 55 65 71 73 73 71 67 63 59 51 45 41 36 30 21 13 8 6 5 4 2 0 0 0 1 0 0 0 0 0 2 5 3 5 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 8 9 13 21 24 22 20 22 25 27 28 27 27 25 23 20 17 13 10 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 26 29 27 22 18 16 15 17 20 23 28 34 40 44 44 44 44 40 40 39 37 34 32 30 28 27 26 25 23 23 25 26 26 27 33 43 51 57 67 69 60 41 31 31 35 38 38 38 49 75 96 106 123 123 113 111 112 109 107 109 112 114 118 130 144 154 150 130 104 85 76 72 76 87 98 108 114 115 116 119 nan nan nan nan nan nan nan nan nan nan nan nan
10 2 3 9 18 27 42 61 70 64 56 52 44 52 90 106 92 70 55 51 49 55 74 99 117 116 102 82 62 48 47 59 89 124 144 155 151 133 114 110 118 112 80 45 22 16 38 79 109 115 110 105 107 117 130 136 136 133 126 116 112 114 110 108 110 116 120 112 98 86 76 69 67 73 86 89 85 76 70 65 62 59 56 53 49 45 40 35 28 20 12 6 3 1 1 0 0 0 3 4 1 0 0 0 1 6 11 3 1 3 7 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 2 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 9 12 17 24 26 24 22 24 26 26 25 24 24 23 23 21 18 15 11 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 22 28 27 22 19 20 24 30 36 40 45 49 50 51 50 48 45 38 36 37 39 40 40 39 37 34 32 29 26 24 24 24 24 23 24 27 33 43 58 72 78 71 59 50 45 42 38 31 33 55 75 85 97 105 105 112 124 128 128 127 126 122 120 124 135 147 147 131 106 82 64 57 61 72 86 101 115 123 124 122 nan nan nan nan nan nan nan nan nan nan nan nan
10 8 12 12 9 5 23 60 76 70 52 39 39 55 95 110 90 69 60 56 53 55 63 74 93 99 89 76 60 47 39 42 69 112 144 156 145 123 107 109 119 111 78 45 29 32 55 90 118 127 124 122 128 134 132 123 107 103 105 105 115 127 131 130 126 115 113 100 83 74 70 72 78 87 94 96 84 64 58 57 56 55 54 53 50 46 40 32 24 18 10 4 1 0 0 0 0 2 7 8 5 2 0 0 3 11 13 5 2 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 4 4 4 4 5 5 5 5 6 10 15 21 26 26 24 23 24 25 23 20 19 20 22 23 22 21 18 14 9 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 26 27 24 23 25 32 44 56 61 68 70 68 65 62 59 54 46 40 36 37 42 44 45 43 41 39 36 32 28 26 26 25 25 26 25 22 26 36 50 67 79 80 75 67 57 46 34 28 37 56 73 85 89 95 106 117 113 119 128 132 130 126 123 126 136 141 132 116 97 76 64 65 74 87 100 113 124 126 113 nan nan nan nan nan nan nan nan nan nan nan nan
18 25 26 19 13 15 42 76 70 57 41 35 45 66 89 97 78 64 61 58 60 68 74 76 81 91 87 80 73 64 52 50 70 107 141 158 148 120 104 112 129 126 100 72 59 56 61 82 115 134 135 137 142 138 118 92 67 62 72 86 113 139 150 146 132 112 108 103 91 81 81 93 108 119 122 115 96 75 60 56 57 60 60 59 56 52 45 37 29 21 12 4 0 0 0 0 1 4 6 6 5 4 3 3 4 8 8 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 5 5 4 4 4 4 4 5 6 7 9 12 18 22 23 22 22 23 24 24 21 18 16 18 22 23 23 23 20 16 11 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 24 27 27 27 29 36 47 55 62 71 75 74 73 71 67 60 53 45 37 30 33 38 40 41 42 41 39 36 33 30 27 25 25 26 24 21 18 20 26 38 58 74 80 81 74 62 48 37 32 38 52 71 81 89 96 101 95 98 114 128 134 131 124 120 127 133 130 122 112 101 91 86 87 91 99 112 124 123 106 93 nan nan nan nan nan nan nan nan nan nan nan
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