Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 7 8 8 8 6 6 5 4 4 5 4 4 4 5 5 5 6 6 7 7 5 5 4 4 4 4 4 4 5 5 5 4 3 2 3 3 3 2 2 2 2 2 1 1 1 1 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 7 8 7 6 6 6 5 4 4 8 10 11 10 8 5 5 6 7 7 8 8 6 5 4 1 -3 -2 2 5 2 5 10 10 -2 -1 2 2 2 5 4 6 8 6 4 4 5 7 6 6 3 6 9 4 0 4 3 -3 -3 4 11 9 3 2 7 13 11 1 -5 -5 -2 2 2 -1 2 3 0 -3 -4 -1 3 7 10 6 1 2 4 5 4 3 2 2 3 2 4 19 37 32 13 6 5 3 2 3 3 3 3 3 3 4 4 4 4 4 5 6 7 9 11 14 17 17 12 8 5 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 4 6 7 7 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 5 4 2 2 4 4 3 2 3 3 4 4 5 5 5 4 4 4 4 4 4 3 3 3 2 3 4 4 4 4 4 5 5 7 8 8 7 5 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 8 16 21 16 13 11 12 12 7 3 -1 -3 -7 -1 4 3 8 8 4 5 6 6 3 -2 -7 -8 -7 -7 -5 -1 4 6 7 8 8 9 11 12 14 17 17 14 10 7 5 6 7 7 6 4 4 3 2 5 11 13 11 8 7 6 7 8 8 6 5 5 6 7 9 10 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 6 7 8 7 6 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 4 4 4 5 5 5 4 4 3 2 3 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 7 7 6 6 5 4 6 10 11 10 8 5 5 6 7 7 7 6 6 5 3 0 -5 -3 2 5 4 7 18 10 -2 2 1 5 4 5 5 6 5 6 7 8 9 12 15 10 5 7 5 2 3 10 7 1 -0 4 10 11 7 2 2 8 9 3 -2 -3 4 8 6 4 3 5 4 1 -1 -2 1 8 11 6 1 2 3 5 6 7 7 7 9 10 16 29 35 21 7 5 4 3 2 2 3 3 3 3 4 4 4 4 4 4 5 6 7 9 10 12 15 15 12 9 8 7 7 7 6 6 5 4 4 4 4 3 3 2 3 3 4 4 6 7 6 5 5 4 4 4 4 5 6 4 4 3 3 4 4 5 5 5 4 4 4 4 1 -3 -0 4 4 3 2 3 4 4 5 5 5 5 5 4 4 5 5 5 4 3 3 3 3 3 4 4 5 5 5 5 8 9 9 8 6 5 5 5 5 5 5 3 3 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 8 15 17 16 14 13 13 12 11 9 6 4 3 5 5 7 7 6 8 8 5 4 3 1 -2 -3 -3 -4 -2 2 5 6 7 7 7 8 9 11 13 13 11 8 7 6 7 9 11 9 7 5 3 4 9 12 9 6 5 5 5 8 9 7 6 5 5 5 6 7 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 6 7 7 6 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 6 6 5 4 6 9 11 11 8 6 5 6 6 6 6 6 6 5 3 -2 -7 -1 3 1 1 7 18 8 0 4 1 5 9 8 6 5 4 3 5 7 5 8 12 10 8 7 5 3 7 12 9 7 6 7 11 13 11 8 5 3 4 3 5 7 11 9 8 7 5 7 6 3 3 2 2 5 7 5 2 2 3 5 7 9 10 11 13 20 30 35 26 11 5 5 3 2 2 2 3 3 3 4 4 4 4 4 4 4 5 6 7 8 9 10 12 12 12 10 10 9 9 9 8 6 5 4 4 4 3 3 2 2 2 3 3 4 5 5 4 5 5 4 3 4 5 6 6 5 5 4 4 5 5 5 5 5 5 5 4 3 2 -4 -6 0 3 1 -0 2 4 4 5 6 6 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 5 5 5 6 9 10 10 8 6 5 5 5 5 5 4 3 2 2 2 3 3 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 4 7 12 13 13 11 8 8 8 7 5 6 5 6 7 5 4 5 8 8 6 4 5 6 4 4 4 3 3 3 5 6 6 7 7 7 8 7 8 8 7 7 6 6 7 10 13 15 12 9 6 6 9 10 7 4 4 4 5 6 7 6 5 5 5 5 5 6 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 3 4 5 6 6 5 5 5 4 4 5 5 5 6 6 6 6 6 7 7 6 5 5 5 6 6 6 6 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 1 2 2 2 2 3 2 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 6 7 7 7 7 9 9 8 7 7 7 6 6 5 5 8 10 11 9 7 5 5 6 6 6 6 6 5 3 -5 -11 -4 3 -2 -3 2 9 8 5 4 5 4 10 11 6 2 4 4 4 2 -0 1 3 6 6 7 5 3 5 6 6 9 10 9 8 10 11 12 14 11 8 4 7 16 15 8 5 4 8 12 9 3 -1 0 2 4 6 6 4 3 4 6 8 9 11 16 23 32 37 31 16 6 4 4 3 2 2 2 3 3 3 4 4 4 4 4 4 4 5 6 7 8 8 9 9 10 11 11 11 11 11 10 8 6 5 4 4 4 3 3 2 2 2 4 4 5 5 4 4 5 6 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 0 -7 -5 1 2 -0 1 4 5 6 7 6 5 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 5 6 8 10 10 8 6 6 5 5 5 5 5 4 3 2 2 2 3 4 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 4 6 9 8 5 4 4 4 3 3 5 7 8 6 4 4 6 7 6 5 4 3 2 5 7 6 4 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 7 10 15 19 19 14 10 8 8 7 5 4 4 4 5 6 6 5 4 4 4 4 5 5 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 3 3 3 4 5 5 4 4 3 3 4 4 5 6 6 6 6 6 7 8 8 7 6 4 5 6 6 6 6 6 6 6 4 3 3 3 3 2 3 3 4 3 3 4 3 3 4 3 3 3 3 2 2 2 1 2 2 2 3 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 5 5 5 6 6 6 6 5 6 6 6 7 7 7 8 9 10 9 8 7 7 7 6 5 5 7 9 10 10 7 6 6 6 6 6 6 6 5 3 -5 -14 -12 -1 3 2 3 5 5 10 8 8 3 6 11 6 1 4 7 6 2 0 0 2 3 3 5 3 1 3 3 2 8 9 7 5 6 8 12 15 16 14 9 9 13 13 11 6 5 8 10 10 7 4 4 3 4 5 5 5 5 4 4 5 7 13 24 35 39 32 20 8 4 4 3 2 2 2 3 3 3 4 4 4 3 4 4 4 4 5 6 6 8 8 8 8 8 9 10 12 12 11 10 9 7 5 4 3 3 3 2 2 3 4 4 4 5 6 7 7 6 6 5 6 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 4 3 -1 -6 -3 5 6 3 4 6 7 7 6 4 4 5 6 5 4 4 4 4 3 3 3 4 4 4 5 5 5 6 7 9 10 9 6 5 5 5 5 6 6 6 4 2 1 1 2 3 5 5 5 6 6 7 6 6 5 4 3 4 4 5 5 5 4 5 4 4 4 4 4 4 3 2 1 0 -1 -0 1 3 5 5 5 4 4 4 4 4 6 8 8 6 6 6 6 7 6 4 0 1 5 6 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 7 9 15 21 24 19 12 8 7 5 4 3 4 5 5 6 6 5 4 4 4 5 5 5 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 4 5 5 6 6 6 7 7 8 9 7 5 4 4 5 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 5 6 6 6 6 6 6 6 6 7 7 7 8 9 10 11 10 8 7 7 7 7 6 5 6 9 10 10 8 7 6 5 6 6 6 6 5 3 -3 -12 -10 1 8 8 8 4 1 10 12 8 4 2 7 5 2 3 7 7 4 3 0 -0 -0 1 2 1 2 6 8 7 7 6 5 3 1 4 12 13 10 10 9 7 6 6 9 10 8 7 6 8 9 9 7 5 5 6 6 8 7 4 2 3 6 14 28 36 30 19 10 4 4 4 3 3 2 3 3 3 3 4 4 4 3 4 4 4 4 5 5 6 7 7 7 7 7 7 9 11 12 11 10 9 8 6 4 3 3 3 3 3 4 4 5 5 5 6 9 9 7 5 5 6 5 5 5 5 4 5 5 5 5 5 6 6 6 7 7 6 5 4 4 3 -1 -4 1 7 6 5 6 8 8 6 4 5 5 6 5 4 3 3 4 4 4 4 4 4 3 4 5 6 6 6 7 9 9 7 5 4 5 5 6 6 6 5 3 0 -0 1 2 4 5 5 6 7 8 7 6 5 4 3 3 4 4 4 4 3 3 3 3 4 4 4 3 2 -1 -1 -0 -1 -2 -0 1 3 4 6 6 5 6 6 5 4 6 7 7 7 7 7 9 7 4 2 5 7 5 4 5 6 5 5 4 5 5 6 6 5 5 5 6 6 7 7 7 8 13 20 25 21 14 8 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 5 6 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 nan nan 2 2 3 3 4 4 4 4 4 3 2 1 2 2 2 3 3 3 4 5 5 5 5 6 7 8 8 7 5 4 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 1 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 5 5 5 4 4 4 4 6 7 6 6 5 6 6 7 7 7 7 7 8 10 12 11 10 8 7 7 7 7 6 5 6 8 10 10 9 7 6 6 6 6 6 6 5 3 1 -5 -4 4 7 7 10 6 1 6 8 5 4 4 4 5 5 4 5 4 2 4 4 0 -1 0 -1 -2 4 10 10 9 6 5 3 2 -1 0 10 13 8 4 3 2 5 5 3 5 6 6 4 1 5 9 9 7 6 7 8 8 7 4 1 1 5 16 28 28 17 9 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 8 10 11 11 10 9 8 6 4 3 3 3 3 4 4 4 5 5 6 7 8 8 6 5 5 6 6 6 6 5 5 5 6 6 6 6 5 6 6 8 8 7 5 4 5 5 4 0 -2 2 5 6 8 9 7 6 5 6 7 6 5 3 3 4 4 4 4 5 4 4 3 3 5 6 6 6 7 7 7 7 6 5 4 5 5 5 6 5 4 3 1 1 1 2 4 5 6 7 8 8 7 6 5 4 3 4 4 4 3 2 2 2 3 4 5 6 4 0 -1 -0 2 2 2 2 4 4 4 5 6 6 6 7 6 5 5 6 6 7 8 9 9 8 6 7 9 7 5 4 4 5 4 4 4 3 3 4 5 5 5 5 6 6 7 7 7 7 10 15 20 20 16 10 6 5 5 5 4 4 4 5 6 5 5 6 7 5 3 4 5 5 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 1 2 2 4 4 5 5 5 4 3 1 1 1 1 1 2 2 3 3 4 4 5 6 6 6 8 9 8 5 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 6 7 6 5 5 6 6 6 6 7 7 7 9 11 12 12 11 8 7 7 7 7 6 5 5 7 10 10 9 7 6 6 6 6 6 5 5 4 3 0 -3 -1 3 6 8 6 4 8 8 3 1 4 4 7 8 5 5 1 -1 4 5 3 1 1 -2 -1 6 10 8 9 6 3 1 2 0 -0 7 12 9 4 1 -1 6 6 2 3 5 5 4 -1 2 5 5 6 7 10 9 6 3 1 1 2 7 20 28 19 8 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 9 9 10 10 9 8 7 5 3 3 3 4 5 5 4 4 5 5 6 7 9 9 6 6 6 6 6 6 6 5 5 5 6 7 7 6 6 6 6 7 7 5 5 5 6 6 6 2 -0 3 7 9 8 5 4 5 7 8 7 5 4 4 4 4 5 5 5 5 5 3 3 4 6 7 7 6 6 6 6 6 5 5 5 4 5 6 6 7 6 4 2 1 1 3 5 5 7 8 8 8 7 6 5 5 5 4 4 3 2 1 1 3 5 6 6 5 2 1 2 4 5 6 6 6 6 5 4 5 5 5 6 7 6 7 7 5 5 7 9 9 7 7 8 9 7 5 4 3 3 3 4 3 2 1 0 2 4 5 5 5 6 7 7 7 6 7 11 14 16 15 13 11 8 4 3 3 3 3 4 5 5 4 6 8 6 3 3 4 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 1 1 2 3 3 4 5 5 5 4 3 2 0 -0 0 1 1 2 2 3 3 4 4 4 5 6 8 10 8 6 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 7 6 5 6 6 6 6 6 7 7 9 10 12 12 12 10 9 7 7 7 7 6 5 5 7 9 10 10 8 7 6 6 6 6 5 4 3 3 2 -1 -2 1 5 5 5 8 11 9 6 7 6 4 4 5 6 6 2 -0 3 4 5 4 5 4 6 8 7 6 6 3 1 2 4 3 2 4 9 9 5 1 -0 2 4 4 6 7 6 5 3 4 5 2 2 5 9 7 3 1 1 4 5 12 24 24 12 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 8 8 8 9 8 7 6 4 4 4 4 5 4 4 3 4 4 5 7 10 14 12 9 7 6 6 7 7 6 6 5 6 7 7 7 6 5 4 4 5 6 7 7 6 6 7 5 1 2 5 7 7 4 2 3 6 7 6 6 6 5 5 5 5 5 5 5 5 4 3 4 5 7 7 7 6 5 5 6 5 5 5 5 5 6 7 8 9 8 6 3 2 2 4 5 6 7 7 8 7 7 7 7 6 5 5 3 2 0 0 3 8 8 5 5 5 5 5 5 5 5 6 5 5 4 4 3 4 4 5 6 6 8 8 6 5 7 8 8 7 6 8 10 9 6 4 3 2 2 2 4 4 2 1 -1 1 4 5 5 5 5 6 6 6 6 7 9 10 10 10 10 8 5 3 3 3 4 3 3 3 3 5 6 6 6 4 3 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 2 1 2 3 2 3 4 5 5 6 5 3 1 0 -0 -0 1 1 1 2 2 3 3 3 3 5 7 9 10 9 6 4 3 3 2 3 3 3 3 3 4 4 4 3 3 3 2 3 4 4 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 7 7 6 6 6 6 6 6 7 8 9 9 11 11 11 10 10 9 7 7 7 7 6 6 6 7 9 10 10 9 7 7 7 6 6 5 4 3 3 3 2 1 2 5 6 6 6 5 4 8 10 8 7 4 3 3 7 7 4 3 7 10 9 11 11 11 9 6 4 2 1 1 4 5 5 4 3 8 8 4 1 2 2 6 7 6 6 6 2 3 5 8 6 3 6 9 6 3 2 5 7 8 16 24 18 7 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 8 8 7 6 6 5 5 5 4 4 4 3 2 2 3 5 8 14 16 15 13 11 9 8 8 7 6 6 5 6 7 7 6 5 3 3 5 8 8 6 5 5 5 5 3 3 3 3 3 2 1 2 3 5 5 6 6 6 6 6 6 6 5 6 5 4 3 3 4 6 7 8 7 5 5 5 5 5 5 5 5 6 6 8 9 10 9 7 4 2 2 4 6 7 7 7 7 8 8 8 7 6 5 3 2 1 0 3 10 11 7 5 6 7 7 6 5 4 4 4 3 3 4 4 5 5 5 5 6 8 9 8 8 9 9 8 6 6 8 11 11 7 4 3 3 3 3 6 7 5 5 3 1 3 6 6 6 6 6 6 6 6 6 6 6 7 8 7 5 4 4 3 4 5 4 3 2 4 5 4 5 6 6 5 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 2 1 2 2 3 3 3 3 3 4 5 5 4 3 2 1 0 0 0 0 1 2 2 2 2 3 4 7 9 10 9 6 5 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 2 2 3 3 3 2 3 3 2 3 3 3 4 3 3 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 4 5 5 6 6 7 7 6 6 7 6 7 7 8 8 9 10 10 9 10 10 10 9 8 7 7 7 6 6 6 6 9 11 10 9 7 7 7 6 6 5 4 3 3 3 3 3 3 7 10 8 3 2 2 6 8 7 5 3 2 2 7 10 9 5 7 8 12 14 13 9 6 6 6 2 0 3 5 4 6 5 4 6 7 5 2 4 5 7 6 5 5 3 2 3 2 6 9 10 12 12 7 3 3 5 4 6 17 22 13 6 4 3 3 4 4 5 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 4 3 3 2 2 1 2 2 5 8 12 14 15 15 14 13 11 10 10 10 8 7 6 6 5 5 4 5 7 9 9 7 6 6 8 8 7 5 3 1 -0 -0 0 1 2 2 3 5 6 6 6 6 6 7 6 6 6 4 3 3 3 4 6 7 7 5 2 3 4 5 5 5 5 6 6 7 9 11 12 11 7 3 2 3 5 6 7 6 6 7 8 8 8 7 5 4 3 2 1 4 10 13 9 6 6 7 6 6 5 5 5 5 4 4 4 5 7 8 8 8 7 8 9 10 11 11 10 8 6 5 7 10 10 8 5 5 5 6 6 7 8 8 6 6 4 4 6 6 6 6 6 6 6 6 6 6 5 6 6 6 4 3 4 4 4 4 4 3 3 4 5 3 4 5 6 6 5 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 3 2 2 2 2 3 3 2 2 2 3 5 6 6 6 4 2 1 1 0 1 1 1 0 0 1 2 4 6 9 11 10 8 6 4 3 3 3 3 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 2 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 5 4 5 5 4 5 5 5 4 5 4 4 4 5 5 5 6 6 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 10 8 7 7 7 7 6 6 7 9 10 11 10 8 7 7 7 6 5 3 3 3 4 4 5 6 11 12 9 2 -0 4 6 6 6 3 3 2 2 6 10 10 6 3 2 7 11 11 7 2 4 8 8 5 5 4 3 6 6 4 3 5 6 5 4 6 5 2 3 1 5 7 4 -0 0 6 11 15 14 6 0 2 4 3 8 19 19 10 5 4 3 4 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 7 6 6 6 6 7 6 6 6 6 6 6 5 5 4 3 3 2 2 1 1 1 2 2 4 6 8 10 11 12 12 12 13 13 11 10 8 6 5 5 6 7 9 10 11 11 11 11 12 10 8 5 4 2 0 -1 -0 1 1 1 2 3 4 5 6 5 6 6 6 6 6 5 4 3 2 3 4 6 6 5 1 -3 -3 2 5 5 5 6 7 8 9 11 12 13 12 7 3 1 3 5 7 6 5 5 5 6 6 6 5 4 3 2 3 5 9 11 8 6 6 5 4 4 5 6 7 7 5 6 6 6 7 8 8 8 7 8 10 11 12 11 10 8 6 5 7 7 7 6 6 7 8 7 6 6 7 7 6 6 5 5 6 7 6 5 4 5 6 6 6 6 6 6 6 6 6 4 4 4 4 3 3 3 3 3 3 3 3 4 6 6 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 3 3 2 1 1 2 3 2 1 1 1 3 5 6 7 7 5 4 3 1 1 1 1 1 0 -0 -0 1 2 5 8 10 10 8 6 4 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 5 5 4 4 5 5 5 5 4 5 5 4 5 5 5 6 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 9 8 7 7 7 7 7 7 8 10 11 10 8 7 8 8 6 4 4 3 4 4 6 8 12 12 8 5 -2 1 9 10 1 1 6 8 4 1 2 8 10 6 2 -0 3 8 12 10 4 2 4 6 8 8 6 4 3 7 4 3 4 3 4 3 6 4 2 2 2 8 8 2 -3 -3 4 11 14 13 5 -1 1 4 7 14 20 14 7 4 4 4 4 4 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 5 6 6 6 6 6 6 5 5 4 4 4 3 3 3 2 1 1 1 1 1 1 2 3 4 4 6 7 8 9 9 9 9 9 9 10 9 10 11 13 13 12 12 13 14 15 12 8 5 6 5 3 1 0 -0 0 1 2 3 3 3 4 5 5 5 5 6 6 6 5 4 4 3 3 5 6 7 4 -2 -7 -5 2 6 6 6 6 7 8 10 11 13 14 12 7 3 1 2 4 5 5 3 2 2 3 4 3 3 3 2 3 6 7 7 6 5 5 4 3 4 5 6 7 7 5 5 6 6 5 5 5 5 6 7 9 11 12 11 10 8 7 6 7 7 6 5 6 6 6 7 6 5 5 6 7 6 5 4 5 6 6 4 4 4 5 6 6 7 6 7 6 6 6 6 5 5 4 4 4 3 3 3 2 2 2 3 5 6 6 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 3 3 4 3 2 2 2 3 2 1 1 0 1 2 4 6 8 8 7 5 3 2 2 2 2 1 1 -0 -0 0 1 4 6 8 8 8 6 4 4 3 3 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 7 7 7 7 8 8 9 9 9 9 10 10 9 9 10 11 11 10 8 8 7 7 7 7 8 8 9 10 10 8 6 8 9 6 4 4 4 4 5 7 9 12 9 4 -1 -2 8 8 7 -1 0 8 8 4 1 0 6 9 8 5 3 4 8 12 12 9 6 2 -1 4 8 9 6 3 7 7 4 3 3 4 3 4 4 4 4 8 11 8 -1 -4 -0 5 11 13 11 4 0 3 6 10 17 18 11 5 4 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 6 6 7 6 6 5 5 6 6 5 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 6 8 10 12 12 12 12 12 10 9 9 10 11 11 10 6 5 6 6 6 4 3 2 1 1 2 3 3 3 3 2 3 4 2 1 4 6 6 5 5 4 4 5 7 9 9 7 2 -2 1 5 6 6 6 7 7 8 9 11 12 13 11 7 3 0 -1 -0 1 3 1 -2 -2 -1 1 2 4 4 4 6 7 5 4 5 6 7 5 5 5 7 9 8 6 4 5 6 6 6 4 4 5 6 7 9 10 10 10 9 8 8 8 7 7 6 5 5 5 6 6 5 5 5 5 6 6 5 5 6 6 4 4 4 5 5 5 7 7 7 7 7 7 6 7 7 7 7 6 5 5 4 3 2 2 3 4 5 5 6 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 2 4 6 8 8 7 6 4 3 3 3 3 2 1 1 0 1 2 3 5 6 7 7 6 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 7 8 8 9 9 9 9 10 10 10 9 8 9 10 11 10 9 8 8 8 8 8 8 9 9 10 10 7 3 5 8 7 5 4 4 4 6 7 7 8 5 4 0 4 10 5 1 4 3 10 11 7 5 2 4 7 7 10 12 8 7 10 12 11 11 6 1 3 7 8 6 5 7 8 6 4 5 7 5 4 5 6 7 11 13 11 4 1 4 8 9 12 9 4 2 4 7 12 17 14 7 5 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 4 3 3 3 4 4 5 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 2 3 2 2 2 2 2 2 3 3 3 2 2 3 3 3 4 5 6 6 8 9 9 8 7 7 7 7 7 7 7 6 5 5 6 6 6 6 5 4 3 2 2 3 3 4 4 1 0 2 1 -3 -3 1 5 6 6 6 5 5 7 10 12 11 9 8 5 5 6 6 5 5 5 4 5 6 7 8 10 9 6 3 -2 -6 -6 -4 -4 -6 -4 -2 -1 1 5 7 6 6 6 5 4 4 7 8 8 7 7 9 10 10 8 6 7 8 9 6 5 4 4 5 6 6 7 8 9 9 9 9 8 8 8 7 6 6 5 5 4 5 5 5 5 4 5 5 5 5 6 5 4 3 4 5 4 4 7 7 8 8 7 6 7 8 9 9 8 7 7 6 5 4 3 3 3 3 4 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 5 5 5 5 6 6 5 3 1 1 0 0 -0 0 1 2 4 6 7 7 8 6 5 4 4 4 4 3 2 2 2 2 2 3 4 6 7 7 6 5 5 4 3 3 3 2 1 2 2 2 2 3 3 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 8 9 10 10 10 11 11 11 10 8 7 8 9 10 9 9 8 8 8 8 9 9 9 10 10 10 7 4 4 6 6 5 5 4 4 6 6 6 5 4 6 5 9 6 8 6 11 5 9 11 12 10 6 3 4 5 9 11 7 4 7 11 12 10 5 3 6 7 5 5 5 6 7 6 5 9 9 6 4 6 6 9 12 12 12 7 6 7 8 9 9 8 5 3 5 9 14 16 10 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 5 5 5 6 6 6 6 7 7 7 6 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 5 6 7 4 4 5 1 -4 -5 0 5 6 6 6 6 7 9 13 14 10 8 7 5 5 4 3 2 2 2 1 1 2 1 3 5 6 6 2 -4 -9 -9 -6 -3 -1 0 -0 -0 3 6 6 5 4 5 4 4 5 7 9 6 2 6 8 8 7 7 8 9 7 5 4 3 3 4 5 5 6 7 7 8 8 8 8 9 9 8 8 6 6 5 5 4 5 5 5 5 5 4 5 5 5 5 4 3 4 5 5 5 6 7 7 8 8 7 7 7 9 9 9 9 8 8 8 6 4 2 2 3 4 5 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 3 4 5 5 5 5 5 6 6 5 3 3 2 1 -0 -0 -0 0 1 3 4 6 7 7 6 6 5 5 5 4 3 4 3 3 2 2 3 4 6 7 7 6 6 5 5 4 3 2 2 2 1 2 1 2 3 2 2 2 2 2 1 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 3 3 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 7 9 10 11 12 12 11 11 11 9 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 9 6 5 6 6 5 5 5 5 6 6 6 5 4 6 9 7 2 10 12 13 7 5 8 12 12 11 4 4 3 2 2 1 0 5 11 12 9 2 -1 4 5 3 3 3 5 7 5 5 10 9 6 5 5 6 10 12 10 8 8 9 6 6 8 7 6 5 5 6 10 14 13 7 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 5 5 7 10 10 9 9 8 4 -2 -3 0 4 4 4 4 6 7 9 11 9 5 5 4 3 2 2 2 1 0 -1 -2 -2 -3 -4 -3 2 5 6 5 2 1 3 4 4 4 2 0 1 3 5 4 5 5 4 3 3 5 10 8 1 1 5 5 5 6 8 7 5 4 4 4 3 3 4 5 5 6 7 7 7 7 7 9 9 9 9 8 7 6 5 5 5 5 5 6 5 5 5 5 4 5 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 6 3 3 4 5 5 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 4 4 5 5 5 6 7 8 7 6 5 3 0 -0 -0 -0 0 1 1 3 5 7 7 7 7 6 5 5 5 4 4 4 3 3 3 4 5 6 7 7 6 6 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 3 3 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 8 9 10 11 12 11 11 12 11 10 8 7 6 6 6 7 8 8 8 9 10 11 12 11 10 10 10 9 7 6 6 6 5 5 5 6 6 6 5 4 2 6 8 2 2 5 8 5 7 3 5 8 6 11 6 5 2 -0 1 -2 -1 5 9 12 10 1 -2 3 4 2 1 1 3 5 3 0 2 5 7 5 5 5 9 11 8 6 10 9 4 4 6 5 4 5 6 7 10 13 11 6 3 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 5 6 6 7 8 9 9 9 9 6 2 -2 -4 -1 -1 -1 -1 3 5 5 6 5 4 3 2 2 1 2 2 1 -0 -2 -3 -3 -3 -3 -2 -1 3 7 9 9 9 9 7 7 7 5 3 3 3 5 6 6 6 4 2 1 4 9 10 6 4 5 5 5 5 6 6 4 4 4 3 3 4 4 5 5 6 6 6 6 5 6 7 8 8 9 8 8 8 7 6 6 5 5 5 6 6 6 5 5 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 7 6 6 6 7 8 9 9 7 5 4 4 4 4 5 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 3 4 5 5 5 7 8 9 9 8 6 4 2 2 1 -0 -1 -1 -0 2 4 6 7 8 8 6 6 6 5 5 5 4 4 4 4 5 6 6 7 7 7 7 6 5 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 11 11 10 11 11 12 11 10 8 8 6 6 6 6 7 8 9 11 12 13 12 11 10 10 10 10 8 7 6 6 6 5 5 5 6 6 6 4 4 7 4 -1 3 2 7 7 7 2 5 3 0 7 6 5 4 1 3 0 1 4 7 10 11 6 2 2 3 3 0 -1 2 3 -0 -3 -2 2 5 3 3 4 7 8 6 7 10 7 5 6 5 3 4 5 6 5 9 13 12 6 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 8 6 2 -0 -1 -0 -0 -2 -3 -2 2 4 4 4 3 2 1 1 1 1 2 1 1 1 1 1 1 3 4 3 4 5 7 9 8 7 5 6 8 7 7 7 7 7 7 8 8 7 6 2 1 5 6 6 6 6 6 6 6 6 4 3 4 4 3 4 4 4 4 5 5 6 7 6 5 4 4 5 6 7 7 8 9 9 8 7 7 7 6 5 5 7 7 6 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 6 7 8 9 9 7 4 3 3 4 5 6 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 3 4 4 4 4 5 7 9 10 10 9 8 6 5 4 2 -1 -1 -1 -0 1 3 5 6 7 8 7 7 6 6 5 5 5 5 5 5 6 6 6 7 7 8 7 6 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 3 3 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 5 4 4 4 5 6 7 8 9 11 10 11 12 13 12 11 9 8 8 7 6 6 6 7 8 9 12 14 14 13 11 10 10 10 10 9 7 6 6 6 6 6 5 5 6 5 5 6 8 3 1 3 3 11 17 11 4 5 2 1 2 7 8 7 4 6 4 4 3 6 8 9 7 5 2 3 4 2 1 2 2 0 0 2 3 3 2 2 4 6 6 9 12 9 4 5 8 5 3 5 6 5 4 9 15 12 6 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 3 3 3 3 4 4 4 4 4 5 4 4 5 5 5 5 5 6 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 10 10 7 4 3 3 3 2 -0 -4 -3 -1 1 2 2 2 2 2 2 2 3 4 4 5 5 5 5 6 6 6 5 4 5 6 7 5 3 4 8 9 10 11 11 10 10 10 8 8 8 5 1 2 3 4 5 6 6 7 8 7 5 3 3 4 3 4 5 5 5 4 4 5 6 6 5 5 4 4 4 5 5 6 8 9 9 9 9 9 8 6 5 7 7 7 7 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 7 9 9 8 4 3 3 3 5 7 8 6 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 3 3 3 4 4 4 4 5 7 8 10 11 10 8 7 7 4 2 1 1 0 0 1 2 4 5 6 7 7 7 7 6 6 6 6 6 5 6 6 6 6 7 7 7 7 6 6 5 4 3 3 3 4 4 5 5 5 5 5 5 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 9 11 12 13 13 13 12 10 9 8 7 7 6 6 6 6 8 9 12 15 15 13 11 10 9 10 10 9 7 6 6 7 6 5 5 5 4 4 5 5 7 6 5 4 6 10 16 12 6 3 4 6 2 8 9 9 8 8 8 7 3 6 8 7 4 3 3 5 7 4 3 4 3 3 6 7 5 3 4 4 5 5 6 13 16 10 4 5 7 4 4 6 5 5 3 7 15 13 6 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 5 5 6 6 7 7 7 7 10 13 13 9 5 3 3 4 3 -0 -2 -4 -3 -1 1 1 2 2 3 4 5 6 6 6 6 6 5 5 6 6 5 4 4 4 5 6 5 5 8 11 11 10 9 10 10 9 8 8 8 7 4 3 3 3 3 4 6 7 9 9 7 4 4 3 3 4 4 5 6 5 4 4 4 5 5 5 5 4 4 4 4 4 5 7 9 9 10 10 10 9 6 7 7 7 7 7 6 6 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 6 5 6 8 10 9 7 4 3 3 5 8 9 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 5 4 4 4 4 4 4 4 4 4 4 5 6 8 10 10 9 7 7 7 6 5 4 3 2 2 2 2 3 4 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 5 5 4 4 5 5 6 6 7 6 6 6 6 5 4 4 3 2 3 3 3 3 3 4 4 3 3 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 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 6 7 7 10 14 16 15 12 10 9 8 7 7 7 6 6 6 6 6 7 10 13 15 15 13 10 9 8 9 9 8 6 6 7 6 5 5 5 5 4 6 6 3 4 4 5 6 6 5 8 9 6 1 3 6 5 6 6 6 10 8 8 7 5 5 7 5 -0 -1 3 6 7 4 3 3 4 6 8 10 7 4 6 7 6 5 5 11 14 9 6 8 6 3 5 7 5 4 4 9 15 13 6 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 3 4 4 4 5 5 6 5 5 6 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 7 8 9 11 13 11 8 6 4 3 2 1 0 0 -2 -2 -0 0 1 2 3 2 3 4 6 6 6 6 5 4 5 6 5 4 4 4 5 5 6 6 8 10 9 7 7 7 6 6 7 7 8 7 6 4 3 3 3 3 4 6 8 9 8 6 4 3 3 3 3 4 5 5 4 4 3 4 4 4 5 4 4 5 6 5 2 4 6 8 10 10 11 10 9 8 7 7 6 7 7 8 8 7 7 6 6 5 5 5 5 5 4 5 5 6 5 5 5 6 7 9 10 9 6 3 3 5 7 10 10 7 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 4 4 4 4 4 4 4 4 4 4 4 3 3 4 6 9 10 8 7 6 7 7 7 6 5 4 4 4 4 3 2 2 4 5 6 7 7 7 8 8 8 7 7 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 5 6 5 5 5 6 7 7 8 13 20 21 13 8 7 7 7 6 6 6 6 5 5 5 6 7 9 13 15 14 12 10 8 8 8 8 7 7 6 6 4 2 3 5 5 5 9 9 3 0 2 7 8 5 3 4 7 6 2 4 7 7 5 3 3 9 7 6 7 8 6 6 5 -1 -3 3 8 7 4 3 4 6 8 11 11 7 3 5 7 7 3 4 11 11 8 9 9 7 4 5 7 5 3 3 10 17 14 7 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 4 4 3 3 4 4 3 4 4 4 4 4 3 4 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 5 5 5 6 7 9 9 10 12 13 11 8 6 4 2 2 2 2 1 2 2 3 3 3 2 2 3 6 7 6 6 5 4 4 5 6 6 6 5 5 5 7 7 8 8 6 6 6 6 6 5 6 6 7 7 7 6 4 3 3 3 4 4 5 8 9 8 5 4 3 2 3 3 4 4 4 4 3 3 3 3 3 4 4 4 7 9 6 3 5 6 8 9 10 11 10 9 8 7 6 6 7 8 9 9 9 7 6 5 6 5 5 5 5 5 5 5 5 5 5 5 6 8 9 9 7 4 4 4 6 9 11 10 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 4 4 4 4 4 4 4 4 4 5 4 4 3 4 5 8 10 9 6 4 5 6 6 6 6 5 5 5 4 4 2 2 2 3 4 5 6 7 8 8 8 8 7 7 7 6 5 5 4 4 5 6 6 7 6 6 5 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 2 3 2 2 2 2 2 3 3 3 3 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 6 6 7 8 11 23 32 21 6 3 5 5 6 6 6 6 5 5 5 5 6 7 9 12 14 13 11 9 8 8 7 7 7 6 5 3 1 1 3 4 4 9 9 11 8 2 3 8 6 4 4 5 7 6 5 5 6 7 5 2 1 5 7 6 8 10 9 6 4 -1 -3 3 7 8 5 4 7 9 9 11 10 6 1 3 7 9 5 5 12 13 11 12 9 6 5 5 5 5 4 3 9 18 15 8 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 5 5 5 5 5 5 4 4 5 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 10 13 13 12 11 9 8 7 6 5 5 4 5 4 4 5 5 4 4 4 4 5 6 6 5 4 4 4 6 9 9 7 6 7 7 8 8 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 5 8 9 7 5 4 3 3 3 3 3 4 3 3 3 2 2 3 3 3 3 5 7 8 6 5 5 6 8 10 11 11 11 10 8 7 6 6 8 9 10 9 7 6 5 6 6 6 6 6 5 5 5 5 5 4 4 5 6 7 8 7 5 3 4 5 8 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 6 9 9 6 5 4 4 5 5 6 5 5 5 4 4 4 3 3 3 3 3 4 5 6 7 7 8 8 8 8 8 7 6 6 5 4 5 5 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 7 6 6 6 6 6 6 5 6 5 5 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 7 8 10 17 32 31 9 -1 2 4 4 5 6 7 7 6 5 5 5 6 7 9 11 12 11 10 8 7 7 6 7 6 4 3 2 1 2 4 4 4 6 6 11 12 7 5 5 3 3 2 5 6 3 3 4 4 4 4 3 1 2 8 9 9 12 12 10 5 -2 -4 2 6 5 4 3 6 8 9 9 9 5 3 6 7 8 7 5 7 12 17 18 10 6 5 4 5 6 6 5 9 18 18 9 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 3 4 4 3 3 4 4 5 5 5 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 10 11 11 11 11 10 10 11 10 9 7 6 4 5 5 5 5 6 7 7 6 7 7 7 8 6 7 10 11 9 7 5 6 8 8 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 5 7 7 6 5 4 3 3 3 3 3 4 4 3 3 2 2 2 3 4 4 4 5 6 6 5 6 7 8 10 11 12 11 10 9 7 6 6 8 10 9 7 6 5 6 6 6 6 6 7 7 6 6 5 5 4 4 5 6 7 6 5 4 4 5 5 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 4 4 4 5 5 5 4 4 5 5 5 5 4 5 7 8 8 5 4 3 4 4 5 5 4 4 4 4 5 5 4 4 3 3 3 3 4 5 5 6 6 7 8 8 9 8 7 6 4 4 5 5 5 5 5 5 4 4 5 6 6 6 7 7 6 6 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 5 5 4 4 4 5 6 6 6 6 6 7 7 8 10 13 22 30 17 -2 -3 4 3 1 2 5 7 7 7 6 5 5 6 8 9 10 11 10 8 7 6 6 6 6 4 2 2 3 4 4 4 5 6 2 2 7 10 9 7 4 4 5 3 4 5 4 5 4 2 2 5 5 2 4 10 11 9 10 13 15 12 6 0 1 2 0 2 3 5 6 6 6 6 3 5 10 8 3 3 4 4 10 20 22 13 6 3 2 3 7 10 7 9 17 18 10 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 9 9 9 9 9 9 10 10 9 8 9 9 8 8 7 7 9 9 10 10 10 11 11 11 10 7 7 9 7 5 5 6 7 7 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 4 4 3 4 6 7 7 6 4 3 3 3 3 3 4 5 5 4 3 2 2 3 3 3 4 5 6 6 6 6 7 8 10 12 13 12 10 9 7 6 8 8 8 6 6 5 5 6 6 6 7 8 8 7 7 6 4 4 4 4 6 6 6 4 4 4 4 4 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 3 3 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 7 8 8 6 4 4 4 5 4 4 4 4 4 5 5 5 6 5 3 3 3 3 4 4 4 4 5 6 7 8 8 7 6 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 3 3 3 4 4 5 5 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 9 12 17 23 23 7 -2 2 4 0 -2 -2 3 8 8 7 6 5 6 6 8 10 11 11 9 7 7 6 5 4 4 2 1 2 5 7 6 2 5 10 6 7 7 5 7 6 5 8 8 5 3 4 6 9 6 2 2 6 7 7 8 9 10 9 8 11 15 17 16 8 2 -0 -2 1 4 7 4 -0 2 2 2 6 11 9 3 1 4 4 9 20 21 14 5 -1 -3 1 9 15 10 9 16 16 10 6 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 5 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 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 5 4 5 5 5 4 4 4 4 4 4 4 5 6 6 6 7 7 7 6 6 6 6 5 5 4 4 4 5 8 11 11 11 10 9 8 7 7 8 7 8 8 8 8 7 5 6 5 5 5 6 6 5 5 4 4 3 2 2 2 3 4 4 4 4 3 4 5 5 5 6 6 6 5 4 3 4 5 6 6 6 4 3 3 2 3 4 5 6 4 4 3 3 2 2 3 4 4 5 5 6 6 6 7 8 10 13 13 13 11 9 7 7 7 7 6 5 5 5 6 6 6 7 8 8 8 8 6 5 5 4 4 5 6 6 4 4 3 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 5 5 6 6 5 5 4 4 4 5 5 5 5 6 7 10 10 9 7 6 5 4 4 4 4 5 5 6 6 6 7 5 4 3 3 3 4 4 4 4 5 5 6 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 7 7 6 6 6 7 8 9 10 15 20 23 17 1 1 7 -0 -5 -7 -5 1 7 9 8 6 5 6 7 8 11 11 11 9 8 7 6 5 3 2 1 1 3 6 9 8 0 3 12 12 11 4 3 1 2 7 12 9 3 1 0 5 8 6 4 4 6 8 10 9 7 6 7 6 7 12 15 13 9 7 3 -1 1 4 8 5 -1 -1 1 5 7 7 11 7 5 7 8 12 20 18 11 4 -2 -5 -1 10 19 14 12 18 15 9 6 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 3 4 5 5 6 7 7 6 6 5 5 5 4 3 3 3 2 3 4 4 5 7 8 8 6 5 3 3 3 3 3 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 2 2 2 3 4 4 4 4 3 3 4 5 5 6 6 6 6 5 4 3 3 4 5 6 6 5 3 3 3 3 5 5 5 5 4 3 2 2 2 2 3 3 4 5 6 5 6 6 8 11 13 14 13 11 9 7 6 6 5 5 5 6 6 6 6 7 7 8 9 8 7 7 6 5 5 5 6 5 5 4 4 4 4 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 5 5 5 5 5 5 6 7 7 7 6 4 4 4 4 5 5 4 4 5 8 11 12 11 8 6 6 5 5 5 4 4 5 6 8 8 7 6 5 3 3 3 3 3 3 4 4 5 5 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 6 8 8 6 6 6 7 9 10 13 19 25 23 12 -1 1 4 -8 -10 -8 -3 3 8 10 10 8 6 6 7 9 11 12 11 10 8 7 6 5 3 1 0 2 4 6 8 6 1 4 12 9 4 2 2 0 3 8 11 9 5 4 5 7 7 5 4 4 6 9 12 9 5 5 6 5 5 7 8 5 4 8 6 1 2 5 7 9 6 3 4 8 5 5 11 11 10 13 16 15 18 19 13 5 -3 -7 -1 12 20 14 12 19 16 8 5 5 4 4 4 4 4 4 4 5 4 5 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 5 5 5 5 6 5 5 4 3 4 4 5 5 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 4 4 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 4 3 3 3 4 4 2 2 3 4 5 5 6 6 7 6 5 4 3 3 3 4 5 6 5 4 3 3 4 5 5 5 4 3 2 1 1 1 2 2 3 4 4 4 5 5 6 7 10 13 14 13 11 8 6 5 4 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 6 6 6 5 5 4 4 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 4 5 5 5 5 5 5 6 7 8 8 7 6 5 5 4 4 5 4 4 4 5 7 9 9 8 7 6 6 7 6 5 4 4 6 7 8 9 8 7 5 3 3 3 3 3 3 4 5 5 4 4 3 3 3 2 2 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 5 4 4 4 5 5 4 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 5 5 4 5 4 5 5 5 4 4 5 4 4 4 4 4 4 6 8 9 8 7 6 7 8 11 14 18 21 23 22 15 4 -1 -4 -12 -10 -4 2 6 8 10 11 10 8 7 7 9 11 11 11 10 9 8 6 4 3 2 3 4 5 6 7 5 4 6 8 6 3 6 2 5 8 5 5 7 6 8 11 12 6 2 2 3 8 13 14 10 8 8 7 4 3 2 2 -0 -1 3 3 1 2 1 5 14 14 8 4 4 1 4 5 8 13 19 19 15 21 28 18 5 -4 -7 1 14 18 12 11 20 16 7 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 6 8 8 7 5 4 4 4 3 4 5 5 6 5 5 5 5 4 3 4 4 5 5 6 5 5 6 6 5 5 5 5 4 3 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 7 6 5 4 4 3 4 5 5 4 3 3 4 3 2 2 3 4 4 5 5 6 6 7 7 6 4 4 3 3 4 5 5 4 3 3 4 4 5 4 4 3 2 1 1 1 1 2 3 3 3 4 4 4 5 5 6 9 12 13 12 10 8 6 4 4 4 4 5 5 5 5 6 6 7 8 8 9 8 7 7 7 7 7 6 4 3 3 4 4 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 4 5 5 5 5 5 5 6 7 7 8 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 6 5 4 4 5 6 7 8 9 8 7 5 4 3 2 2 2 3 4 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 4 5 6 8 9 8 6 6 8 10 17 22 21 16 14 17 13 8 -2 -9 -10 -5 2 7 8 9 10 11 11 10 9 9 9 11 11 10 9 9 7 4 2 4 5 6 6 6 6 7 10 11 5 2 3 6 6 3 6 11 5 0 4 6 9 11 9 3 2 1 3 10 15 15 12 11 9 6 5 3 1 -1 -3 -1 -1 -2 -3 -3 -2 4 17 19 10 2 -1 -3 2 2 5 12 14 14 16 30 35 21 6 -4 -6 3 13 15 10 11 20 17 7 5 5 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 9 11 12 10 6 4 4 4 3 4 5 5 5 5 5 6 5 4 4 3 4 5 5 5 5 5 5 5 6 6 5 6 5 3 3 3 3 4 5 4 4 5 5 4 4 4 3 3 3 3 4 4 5 5 4 4 5 5 6 7 7 7 6 5 5 4 5 5 5 5 4 4 3 2 3 3 4 4 4 4 4 5 6 7 8 7 6 5 4 4 4 4 4 4 4 4 3 4 5 4 3 3 3 2 2 1 2 2 2 3 3 3 3 4 4 4 4 6 8 11 11 11 11 8 6 4 4 4 5 6 5 5 5 5 6 7 8 9 8 8 8 8 9 9 8 6 5 4 4 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 4 6 7 7 7 6 6 5 5 4 5 5 5 4 4 4 3 3 2 4 5 6 6 5 4 3 3 4 6 7 8 8 8 7 5 4 3 2 2 2 2 2 2 1 2 2 3 3 4 4 3 2 2 1 1 1 1 1 1 2 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 7 8 8 6 6 7 10 16 26 27 17 6 4 12 8 4 -6 -10 -4 2 7 9 9 9 10 11 12 12 11 10 10 11 11 9 8 8 6 2 1 5 7 7 6 6 7 7 11 14 12 7 3 3 -0 -1 6 15 9 2 3 6 11 9 3 2 1 2 5 11 14 15 14 10 6 5 6 6 3 1 0 2 -0 -1 -1 -3 -1 3 15 17 8 2 -1 -3 1 -1 1 6 11 12 21 36 35 20 5 -3 -2 6 12 12 8 9 20 19 7 5 5 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 7 9 10 11 11 8 6 4 4 3 4 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 3 3 3 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 3 4 4 5 6 7 7 7 7 6 6 5 5 5 5 5 4 3 2 2 6 8 3 1 4 4 4 5 6 7 7 8 8 7 6 6 4 4 4 4 4 3 3 4 5 5 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 6 8 10 11 12 12 9 7 5 4 5 6 6 5 4 4 4 5 6 7 7 7 8 9 10 10 9 8 7 6 5 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 4 3 4 3 3 3 3 3 3 3 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 2 2 2 4 5 6 5 4 3 3 3 3 5 5 7 7 7 7 6 5 4 3 2 2 2 2 2 3 3 3 4 4 5 5 4 3 2 1 1 1 1 1 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 5 5 5 4 5 5 5 5 4 4 4 4 4 4 5 6 6 7 8 7 6 7 9 14 24 32 24 9 2 2 6 5 -8 -12 -5 4 7 9 9 8 8 9 10 11 12 12 12 11 11 10 9 8 8 5 -0 1 5 5 5 5 6 8 9 6 4 7 10 8 4 -3 -2 7 16 15 10 8 9 10 8 2 0 0 5 8 10 11 12 10 3 1 8 10 7 5 7 9 8 3 3 6 4 -1 0 9 8 4 2 -1 -4 0 -4 -6 2 11 12 24 38 31 16 4 -1 2 9 12 10 7 8 18 18 8 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 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 4 3 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 3 3 4 5 6 7 8 9 8 7 6 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 5 5 5 4 3 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 5 4 4 3 3 5 6 6 7 7 7 7 7 6 6 6 5 5 5 4 3 2 4 8 9 3 1 4 4 4 5 6 6 7 8 8 8 8 7 6 6 5 4 3 3 4 5 5 6 4 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 7 10 12 13 13 10 7 4 4 4 4 4 4 3 3 3 3 4 5 5 5 8 10 10 10 10 9 8 7 6 4 3 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 3 2 3 3 3 3 3 3 2 2 3 3 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 2 3 4 5 5 4 4 3 2 2 3 4 4 6 6 6 7 7 7 6 5 4 3 3 3 3 4 3 3 4 5 5 6 6 4 3 2 1 1 1 1 2 2 2 2 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 8 8 7 7 9 12 18 26 27 16 5 5 5 -1 -6 -15 -8 3 8 8 8 8 8 8 8 9 9 11 12 12 12 12 11 8 8 6 2 -0 2 4 4 5 7 6 7 11 10 3 0 1 4 3 1 3 9 16 20 16 11 10 8 5 -0 -2 1 6 8 7 8 10 5 -5 1 16 18 9 7 11 14 11 4 4 10 8 -2 -2 6 8 7 4 -4 -9 1 3 -1 1 3 8 25 37 28 13 4 0 4 9 11 9 7 10 17 15 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 3 4 4 5 5 4 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 7 7 6 5 5 5 5 4 4 4 4 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 5 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 5 4 4 4 5 5 4 3 3 4 5 6 7 7 7 7 7 6 7 7 6 6 5 3 3 3 6 10 9 4 2 4 4 4 5 5 6 6 7 8 8 8 8 8 7 8 5 3 3 4 5 5 7 6 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 5 7 9 12 15 14 10 6 5 4 4 3 3 3 3 2 2 1 1 2 3 5 7 8 9 10 10 10 9 8 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 3 3 3 4 3 2 2 2 2 3 4 5 6 6 6 6 7 7 7 7 6 7 6 5 4 3 3 4 5 5 4 4 3 2 2 3 3 3 4 5 6 7 8 8 8 8 6 6 5 5 4 4 3 3 4 4 5 6 6 5 4 2 1 1 1 2 2 1 1 2 3 4 4 4 5 5 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 6 6 8 9 8 9 10 12 15 17 18 14 7 5 9 7 -5 -12 -8 1 7 8 7 6 6 6 7 8 8 9 10 12 13 14 13 11 9 7 4 0 1 5 3 4 5 7 5 6 9 10 5 2 1 1 2 5 7 9 15 18 14 11 9 7 2 -4 -4 3 8 7 4 7 10 4 -6 4 23 23 13 8 9 11 10 2 -3 5 9 3 -1 5 13 15 11 -1 -9 0 10 6 6 6 15 29 31 22 12 4 1 3 8 9 8 8 11 17 14 7 5 5 5 4 5 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 6 6 6 6 5 5 5 4 4 3 3 2 2 2 2 2 3 3 4 4 5 4 3 3 3 3 3 3 4 4 4 4 3 3 4 5 5 4 3 3 2 3 4 5 6 6 6 6 5 3 3 3 3 4 6 7 7 7 6 7 7 7 7 7 7 5 4 3 4 6 10 9 4 3 4 4 4 5 5 5 5 6 6 7 8 8 8 9 11 8 4 4 5 4 5 6 6 5 4 5 5 4 5 4 4 3 3 3 4 3 3 4 4 4 3 3 3 4 7 11 14 15 13 10 8 6 4 3 3 3 3 3 2 0 -0 -0 1 2 4 5 6 7 8 9 10 10 9 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 3 3 3 4 4 4 2 1 2 3 3 5 5 7 7 7 7 7 7 7 7 7 7 6 4 4 3 4 4 4 3 3 3 3 3 2 2 3 3 4 6 7 8 9 11 11 10 8 5 4 4 3 2 2 3 3 5 6 6 6 5 3 2 2 1 1 1 0 1 2 3 3 4 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 3 3 4 6 6 10 12 9 12 14 13 14 13 11 5 0 4 9 7 -1 -2 3 6 6 5 5 5 5 6 7 7 8 9 10 12 14 15 14 12 8 5 3 1 2 5 4 4 4 3 1 3 5 4 2 4 3 2 4 8 7 7 11 11 9 9 8 6 2 -2 -2 4 10 11 5 6 11 7 -3 5 21 22 13 5 1 4 9 3 -5 -1 9 8 2 4 13 15 15 7 -1 -1 11 13 16 16 21 26 24 15 8 3 -1 2 6 8 8 8 12 18 14 6 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 4 5 4 4 5 5 4 3 3 3 4 5 5 5 6 5 5 5 4 4 3 2 1 1 1 2 2 2 2 4 5 6 6 6 5 4 3 3 3 3 3 4 4 3 4 3 4 5 4 3 3 2 2 3 4 5 6 6 6 6 5 3 2 1 1 3 6 7 7 6 6 7 7 7 7 7 7 6 4 4 5 6 8 8 6 5 5 4 4 5 5 4 4 4 5 5 6 7 8 8 10 9 6 6 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 3 3 4 4 4 3 4 3 3 3 3 5 7 11 14 14 13 12 11 8 6 5 3 3 3 2 2 1 0 1 1 2 3 3 4 5 7 8 10 10 9 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 2 3 3 3 3 3 3 4 6 6 5 3 2 2 2 3 4 5 7 7 8 8 8 7 7 8 8 7 6 5 4 2 2 2 2 3 3 3 4 3 3 3 3 5 6 7 7 7 9 10 9 7 4 3 3 3 2 1 2 2 3 4 5 7 7 5 4 2 2 1 -0 -1 -0 1 2 3 3 4 4 4 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 4 4 5 5 5 4 4 5 4 5 5 5 4 4 3 3 4 6 7 11 13 12 14 13 10 11 14 12 4 4 8 8 6 4 5 6 5 5 4 4 4 4 5 7 8 9 10 11 13 16 17 15 11 8 5 4 2 1 4 7 6 3 -0 -1 1 3 7 12 11 2 0 5 7 2 3 7 6 5 5 4 5 7 4 2 6 14 14 5 3 11 11 6 8 17 18 11 2 -0 2 6 3 -2 2 11 10 5 7 7 5 8 11 8 -2 5 16 22 22 20 16 11 5 4 1 -1 4 7 8 8 9 13 17 12 6 5 5 5 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 2 3 3 3 4 4 4 4 4 4 4 3 3 2 1 1 2 2 3 3 3 3 4 5 6 7 7 7 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 4 5 5 5 4 2 1 -1 -1 1 5 7 7 6 6 7 6 6 7 7 7 7 5 4 4 5 5 5 6 6 6 4 4 5 5 4 3 3 3 4 4 5 6 7 8 8 8 7 7 6 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 7 11 12 13 14 15 13 11 9 6 4 3 3 3 2 1 2 2 2 2 2 3 4 5 6 9 9 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 3 3 3 4 5 6 7 6 4 2 1 2 3 4 5 6 7 8 8 8 7 8 8 8 8 7 5 3 2 1 1 2 3 3 4 4 4 4 4 5 6 8 7 7 6 6 5 4 3 2 2 2 1 1 1 1 2 2 4 6 8 8 6 4 1 0 -1 -1 -0 0 0 1 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 6 8 13 17 15 12 8 7 10 14 14 12 14 12 6 4 4 5 4 4 4 4 4 4 4 5 7 9 10 11 11 13 18 19 15 11 9 6 4 2 1 4 8 9 4 -0 1 3 4 9 12 12 8 3 7 2 -3 3 6 4 3 1 -1 5 14 11 3 4 12 12 8 8 13 17 18 17 17 12 4 -1 3 7 7 1 -0 8 11 10 13 11 3 -0 5 9 10 -3 -7 7 25 26 14 4 -4 -3 2 0 3 9 10 8 9 9 12 17 13 6 5 6 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 6 6 5 5 5 5 4 4 4 3 3 3 3 3 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 4 4 4 6 7 7 7 7 7 6 5 5 6 5 4 4 4 4 5 5 4 3 3 3 3 3 4 4 5 5 4 3 3 2 1 -0 -1 -2 -1 3 7 7 6 6 7 7 6 6 6 7 7 6 5 3 4 3 3 4 6 5 5 4 5 4 4 3 3 3 3 3 3 4 5 6 7 8 8 8 7 6 5 4 4 4 4 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 2 2 3 5 8 9 10 11 13 16 16 15 12 8 4 3 3 3 2 3 3 2 2 2 4 4 5 5 8 9 10 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 3 3 3 3 4 5 6 7 6 4 2 2 2 3 4 5 6 7 7 7 8 7 7 8 8 8 7 5 4 3 3 2 1 2 3 4 4 5 5 5 6 9 9 8 6 5 3 2 2 2 2 2 1 1 1 2 2 2 3 5 7 10 9 6 3 0 -1 -1 -0 -0 -0 -0 1 1 1 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 5 4 5 5 5 4 4 4 4 4 6 9 12 17 19 13 8 7 8 9 11 12 16 15 9 1 1 3 3 3 3 3 4 4 4 5 7 8 9 10 12 11 14 19 20 14 11 9 7 5 3 1 2 6 9 5 3 5 5 7 3 3 5 9 9 14 2 -1 7 7 4 5 3 -1 5 15 12 1 0 5 10 14 17 18 21 19 19 17 8 -3 -4 4 10 5 -2 5 15 11 11 17 11 3 6 7 7 9 3 -7 5 28 23 9 -4 -10 -1 4 4 8 13 11 10 9 7 9 18 16 7 5 6 5 6 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 3 3 4 3 3 4 4 5 5 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 5 5 5 6 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 6 6 5 4 3 2 1 0 -0 -1 -0 1 4 5 5 5 6 7 7 7 6 6 7 7 7 5 3 3 4 4 5 6 6 6 5 5 5 4 4 3 3 2 3 3 3 3 4 5 7 7 8 8 7 6 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 4 4 3 3 2 2 3 4 6 7 8 8 9 13 17 19 19 15 8 4 4 3 3 2 3 3 3 3 3 4 5 6 7 8 9 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 3 3 3 3 3 3 3 4 7 9 8 5 2 3 2 3 3 4 5 6 6 6 7 7 7 7 7 8 8 7 6 4 3 2 2 3 4 4 5 5 5 5 7 10 9 7 5 4 3 2 2 2 2 2 3 3 3 3 3 3 4 6 9 12 10 6 2 -0 -1 -0 -0 -0 -0 -0 -0 0 1 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 5 5 9 15 17 16 13 9 7 8 8 7 8 8 11 9 1 -1 1 2 2 2 3 3 3 4 5 7 8 9 10 11 13 13 16 20 19 14 10 8 6 4 2 1 1 3 5 6 8 9 7 4 -4 -3 2 6 13 17 3 3 8 5 6 10 6 1 7 12 5 0 3 4 11 18 16 15 20 15 11 11 2 -3 0 6 8 1 1 11 14 9 10 11 6 6 10 7 6 11 18 9 18 31 20 2 -10 -8 8 13 12 16 16 12 10 9 7 9 17 17 8 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 6 7 7 7 7 6 6 7 7 6 5 5 5 4 4 4 4 4 4 3 3 4 5 5 6 6 6 5 4 2 1 0 1 1 3 8 7 4 4 5 5 6 7 8 8 7 8 8 8 6 3 3 6 7 7 7 7 7 7 6 6 5 4 3 2 2 2 3 3 3 3 4 5 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 4 4 4 4 2 2 3 3 5 6 6 7 7 9 13 17 21 21 16 10 6 4 3 3 3 3 3 4 4 4 5 6 7 8 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 4 3 4 4 4 3 3 3 6 10 11 8 5 3 2 2 3 3 3 3 4 5 5 5 5 5 5 6 8 8 7 5 3 2 3 4 4 5 5 5 5 5 5 7 8 7 6 5 5 4 5 4 4 4 4 4 4 5 4 4 4 5 7 10 13 10 5 1 1 1 1 -0 -1 -2 -1 -1 -0 1 2 2 2 3 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 5 5 5 5 5 5 4 4 4 5 6 6 10 17 17 11 7 7 8 8 8 7 6 6 7 4 -2 -1 1 1 2 2 3 3 4 6 8 9 9 10 11 11 12 14 18 19 15 12 9 6 3 3 3 4 4 3 4 7 8 6 6 4 -2 -2 1 4 17 15 -1 2 3 3 10 15 7 1 6 5 3 8 10 8 13 16 11 9 15 15 10 5 -2 5 10 8 5 1 4 6 3 3 7 4 3 9 12 7 1 10 25 19 26 30 17 -3 -15 -3 20 23 21 22 18 13 11 8 7 9 15 17 9 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 3 4 4 5 4 3 3 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 6 5 5 4 4 4 4 4 3 4 4 4 6 7 7 8 7 6 5 4 2 2 2 4 9 12 8 4 4 5 5 5 6 7 8 9 10 11 11 9 4 3 5 8 8 8 8 8 9 9 8 8 6 4 2 2 2 2 2 3 3 3 4 5 6 7 8 9 9 8 7 7 6 7 7 7 7 6 6 5 5 6 6 6 5 5 5 4 4 3 3 3 3 4 5 5 5 7 9 11 13 16 19 21 17 12 8 5 4 3 4 4 5 5 5 6 6 6 7 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 8 7 7 7 6 6 6 6 6 4 3 4 8 12 11 7 4 3 3 2 1 2 2 3 3 3 3 3 3 4 4 5 6 5 4 4 4 5 5 5 5 5 5 6 5 4 4 5 5 6 7 7 8 8 8 6 5 5 5 4 4 4 5 4 4 5 8 12 13 9 4 2 2 1 0 -1 -2 -1 -1 -1 -0 1 1 2 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5 5 5 5 6 7 8 14 16 9 7 7 8 9 8 6 5 7 8 4 -1 -0 1 1 2 2 3 3 4 7 10 10 10 10 10 9 11 16 19 17 11 8 7 4 3 4 3 3 7 10 8 8 5 4 6 7 5 3 -2 2 13 6 -2 4 3 3 14 21 8 2 2 0 7 16 12 9 9 8 6 8 9 10 13 7 2 13 17 9 2 -2 -5 -5 -2 3 2 -1 1 9 11 6 1 8 16 14 26 28 14 -5 -12 5 25 27 24 21 15 12 10 9 7 8 13 18 11 4 5 6 6 6 5 5 4 4 4 4 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 4 4 4 4 5 4 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 3 2 1 2 4 5 6 5 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 4 4 4 4 5 6 7 9 9 9 8 6 6 4 3 1 2 5 10 11 7 5 5 5 5 5 6 6 7 9 10 12 14 13 8 3 4 6 7 8 8 9 9 10 10 10 9 7 4 2 1 2 2 3 3 3 3 4 5 6 7 8 9 8 7 7 7 7 8 7 7 7 6 6 6 6 7 6 6 6 5 4 4 4 3 3 3 4 4 4 4 5 8 11 12 13 15 17 19 17 12 8 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 10 9 8 8 9 8 6 3 2 5 10 11 8 5 3 3 2 2 1 2 2 2 2 2 2 3 3 3 3 3 4 3 4 5 5 5 5 6 6 6 6 6 5 4 3 3 4 5 7 9 10 9 7 5 4 4 3 3 4 5 4 5 5 6 9 13 13 8 4 3 2 1 0 -0 -1 -1 -1 -0 -0 0 0 1 2 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 6 6 7 7 6 11 15 13 9 9 9 9 7 5 4 9 11 5 0 0 1 2 2 3 3 4 5 8 10 10 10 10 9 8 12 19 20 14 9 6 5 3 5 8 3 1 5 8 9 7 5 5 5 6 8 6 3 8 8 -2 -2 3 5 3 14 17 6 4 5 4 9 11 8 7 4 1 6 14 13 9 13 11 8 12 13 6 -2 -3 -4 -2 3 4 -4 -7 1 8 6 2 2 4 1 8 26 29 14 -3 -6 9 21 22 19 15 11 9 9 8 6 7 15 20 12 4 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 3 3 3 4 4 4 4 4 3 2 2 2 4 6 6 6 5 4 4 3 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 8 8 8 7 6 6 6 5 5 5 4 4 4 4 5 6 8 10 11 10 10 9 8 6 4 3 1 -1 3 9 10 7 6 6 6 6 6 6 6 6 7 8 9 11 12 10 5 4 5 5 6 7 8 9 10 10 11 12 10 7 4 2 1 1 2 3 3 4 4 4 5 6 7 8 8 7 7 6 6 7 7 7 6 6 6 6 6 6 6 7 6 5 5 5 4 4 3 3 3 4 3 3 4 5 9 11 12 12 14 17 18 15 11 8 5 5 5 5 5 5 5 5 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 11 11 11 10 9 8 8 9 9 8 5 2 3 7 10 9 6 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 5 5 5 6 6 6 6 7 6 5 3 3 3 4 5 7 8 8 6 3 2 2 3 3 4 4 5 5 5 6 7 10 13 11 7 4 3 2 1 1 1 1 1 -0 -0 -0 -0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 7 16 19 12 9 10 9 6 2 4 12 11 5 1 1 2 3 3 4 5 5 6 7 8 10 12 11 9 11 15 19 18 12 8 5 4 3 5 6 3 5 5 5 10 8 3 2 3 5 8 6 6 12 15 9 3 3 4 2 7 6 1 5 11 11 10 7 8 8 2 1 9 18 18 14 14 9 6 7 7 2 -2 -7 -7 4 18 12 -6 -7 4 4 -3 -1 2 1 -4 9 30 31 13 -2 -0 12 18 17 15 11 7 6 8 7 5 9 16 16 8 5 6 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 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 3 3 2 2 3 3 3 3 4 5 5 6 6 5 3 2 3 6 6 6 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 5 5 5 5 4 4 5 6 8 10 11 12 12 12 10 10 8 5 5 4 2 -1 1 7 9 7 6 6 6 6 6 6 6 7 7 7 6 7 8 7 5 4 4 5 5 7 9 10 10 10 12 14 13 10 6 3 2 2 2 3 3 4 4 4 5 5 6 7 7 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 5 5 4 3 3 3 3 3 2 4 7 10 11 12 12 14 16 16 14 10 8 7 6 5 5 5 4 4 5 7 8 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 8 8 8 7 8 7 6 7 9 9 7 4 3 5 8 8 7 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 6 4 4 3 4 5 6 6 5 2 1 2 2 3 4 4 5 5 5 6 7 9 12 13 11 7 4 3 3 2 2 2 1 0 -0 -0 -0 0 1 1 2 3 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 7 6 6 5 8 20 23 13 10 11 11 6 -1 1 7 6 2 1 2 3 4 5 5 5 5 5 6 7 12 14 12 12 14 15 15 14 11 8 6 5 5 3 1 3 7 7 3 7 7 2 1 3 6 6 5 6 6 9 13 12 7 4 1 1 0 2 6 12 12 15 13 12 7 3 4 10 15 16 14 10 1 -3 3 6 3 -1 -16 -18 8 31 21 -1 -1 4 -3 -7 0 3 -0 1 16 32 30 11 -1 5 15 17 15 12 9 6 7 8 6 4 8 12 9 6 9 10 7 6 6 6 6 5 5 4 5 5 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 2 2 3 4 6 7 9 9 8 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 5 5 5 5 5 5 7 9 11 12 14 14 12 11 10 9 7 5 5 5 4 2 3 8 9 7 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 7 9 12 12 12 12 14 14 12 9 6 4 3 2 2 3 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 4 5 5 6 6 5 6 6 7 7 6 6 6 5 4 4 3 3 2 2 3 4 7 10 12 13 13 14 15 14 12 10 8 7 6 4 4 4 4 4 6 7 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 6 7 8 9 9 7 6 5 6 7 7 6 4 4 3 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 6 6 7 7 6 5 4 4 4 5 5 4 3 2 2 3 3 4 3 4 4 5 6 7 8 10 13 14 11 7 4 3 3 2 2 2 1 -0 -0 -0 0 0 1 2 2 3 4 4 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 6 5 5 10 23 23 13 11 12 12 6 1 4 4 3 1 1 3 4 4 5 5 5 5 4 6 11 16 14 12 15 15 13 13 12 10 7 5 6 3 -0 2 8 7 5 4 3 4 5 4 6 8 6 11 11 1 -1 5 9 9 6 2 0 2 5 7 9 7 12 17 12 6 5 8 11 14 13 11 7 -1 -4 2 4 2 0 -6 -7 9 20 14 2 1 1 -4 -6 1 3 0 7 22 31 24 9 2 8 15 15 13 9 7 7 7 7 4 3 6 9 9 7 9 15 12 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 3 4 4 4 3 3 4 4 3 4 4 4 5 4 4 4 4 4 3 2 2 3 3 3 2 2 2 3 4 6 10 11 12 12 9 7 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 6 6 6 7 7 8 8 8 8 8 8 8 7 6 6 6 5 5 5 6 7 8 10 12 13 14 13 12 10 8 8 8 6 5 5 5 6 5 6 9 10 6 4 4 4 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 6 8 12 15 14 13 13 14 14 11 8 6 4 3 2 3 3 4 5 5 5 6 6 5 5 5 4 3 3 3 2 2 2 3 4 5 6 6 5 6 6 7 7 7 7 6 5 4 3 3 3 2 2 2 4 8 11 12 12 13 14 14 13 11 9 6 5 4 5 4 4 4 6 7 7 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 6 6 6 7 8 8 9 8 7 6 7 7 8 7 5 4 3 4 4 4 5 6 6 6 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 5 5 5 4 3 3 3 4 3 3 4 5 6 6 7 8 11 15 16 12 7 3 2 2 2 2 2 0 -0 -0 1 1 0 1 1 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 6 6 6 6 7 7 7 5 5 5 5 13 25 23 14 10 11 10 7 9 14 8 2 0 1 3 4 4 4 5 5 5 5 9 16 18 11 13 16 13 12 13 12 9 5 3 4 2 -0 6 12 9 7 8 3 3 6 3 5 8 11 19 11 -0 4 7 5 8 7 5 3 4 6 8 6 2 1 6 4 7 9 10 12 14 12 8 5 2 4 7 6 2 1 3 3 5 8 9 8 5 0 0 1 3 7 8 14 24 25 16 7 5 10 13 13 11 8 7 8 8 6 1 2 6 7 8 9 10 17 14 6 6 7 6 6 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 3 3 2 2 3 4 3 2 2 2 2 3 4 6 10 12 12 11 7 5 5 5 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 9 8 9 8 8 8 7 6 6 6 6 7 7 8 10 12 13 14 14 12 10 8 6 4 5 6 6 5 5 6 7 8 9 8 7 5 4 4 4 5 5 6 6 6 7 6 6 5 5 5 5 5 5 4 5 6 7 9 13 15 14 12 12 12 12 9 7 5 4 5 5 5 6 8 9 9 7 5 4 4 4 4 3 2 2 2 1 1 2 3 4 5 5 5 5 6 7 7 7 7 7 6 5 4 3 3 3 2 2 3 5 8 9 10 12 14 15 15 12 9 6 4 4 4 5 4 5 7 8 8 7 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 5 6 6 6 7 8 9 9 8 7 7 8 10 11 9 7 5 4 4 3 4 5 5 6 5 5 4 4 4 5 5 5 5 5 6 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 7 6 5 4 3 3 4 4 4 4 5 5 6 6 7 8 12 16 16 11 6 4 3 2 2 2 1 1 1 1 1 1 0 1 2 3 3 3 3 3 2 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 6 6 6 7 7 6 4 5 6 7 17 27 22 12 9 9 9 8 11 10 3 0 0 2 3 4 4 4 5 5 5 8 13 18 16 10 11 12 11 12 13 11 8 5 4 5 2 3 7 10 5 7 6 3 2 3 2 4 7 16 23 7 4 15 12 6 6 6 6 7 5 5 7 2 0 -1 -4 -3 6 10 10 13 14 12 7 2 3 7 10 7 1 0 6 8 5 8 9 9 8 3 3 5 7 11 13 16 18 16 10 6 7 11 12 11 10 8 7 9 8 3 0 4 6 5 7 9 12 17 15 7 6 7 7 6 6 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 3 3 3 3 3 2 2 3 5 8 9 9 8 6 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 8 9 11 12 13 14 14 13 11 9 7 4 2 2 3 5 6 6 5 6 7 9 9 6 3 3 3 4 5 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 5 7 6 6 9 12 13 12 12 12 11 9 7 5 6 9 9 8 9 13 16 15 11 5 3 4 4 3 3 3 3 3 2 1 1 2 3 4 5 5 5 5 6 5 6 7 7 7 6 5 4 4 4 4 2 2 3 4 6 8 10 12 15 18 16 11 6 4 4 4 4 3 4 6 9 10 9 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 4 4 5 5 5 6 7 8 8 8 8 8 9 10 12 13 13 11 8 6 4 3 4 4 5 5 4 4 5 5 4 5 5 5 6 6 6 5 4 3 3 3 3 3 4 4 4 3 4 4 6 7 7 5 4 3 4 4 4 4 4 4 5 6 6 6 7 7 11 16 15 11 8 5 4 3 2 2 2 3 4 3 1 0 0 2 3 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 3 4 4 5 6 6 7 7 6 5 4 6 9 13 24 30 20 9 7 9 9 5 3 -1 -2 -0 2 3 3 3 3 4 5 6 6 9 15 16 10 7 9 9 10 11 10 9 7 4 5 5 2 2 5 9 4 0 1 4 3 1 3 3 8 15 16 5 11 17 11 7 4 3 6 8 6 5 4 -0 0 2 0 3 5 8 11 12 12 9 4 1 3 8 11 6 0 1 9 13 7 6 7 7 7 6 6 6 6 10 13 11 8 10 9 7 10 12 12 12 11 8 7 8 7 2 2 6 6 5 6 8 11 17 17 9 5 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 4 4 4 4 3 2 1 2 3 4 6 7 7 6 4 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 8 9 10 10 9 9 8 8 7 7 8 8 9 10 11 13 14 16 15 14 12 11 9 8 6 3 2 3 4 5 6 6 7 6 7 8 7 3 2 4 4 5 5 6 6 6 5 5 6 6 6 5 4 4 4 3 3 3 5 9 6 3 6 10 12 13 13 12 10 9 7 7 10 12 12 10 10 15 20 20 15 8 4 3 4 4 4 4 4 5 5 3 2 2 3 5 5 5 6 5 5 5 5 5 6 6 6 6 5 5 5 4 3 2 2 3 4 5 7 9 13 17 18 14 9 7 6 5 4 3 1 3 7 10 11 10 7 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 7 7 5 4 4 5 6 7 8 9 10 10 11 11 13 16 16 15 12 9 5 4 3 3 4 4 5 5 5 4 5 5 5 6 7 7 6 5 4 3 3 2 2 3 3 4 3 3 4 5 6 6 5 4 4 4 3 4 4 4 4 5 5 6 6 6 5 7 10 14 14 12 9 7 6 5 4 4 5 6 5 2 -0 -0 2 3 3 3 3 2 2 2 2 3 3 2 2 2 2 3 3 4 5 4 4 5 6 6 6 7 6 5 4 6 10 17 26 35 30 15 7 5 3 1 -3 -4 -2 -1 1 2 3 3 3 3 4 6 6 7 9 14 14 9 7 8 8 8 9 8 7 4 3 5 4 1 3 7 14 10 3 3 4 4 2 1 2 9 11 3 2 9 8 6 4 3 4 6 7 6 5 3 -0 1 3 2 4 5 7 11 12 10 1 -3 1 5 8 10 8 4 4 8 10 4 2 7 10 7 7 10 9 9 10 10 5 4 11 13 8 11 13 12 12 12 8 7 8 6 4 4 6 6 6 6 5 11 20 17 8 5 6 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 3 2 2 3 3 4 5 5 5 4 2 1 1 2 4 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 8 9 9 10 10 9 8 8 8 8 8 8 9 11 12 14 15 16 16 16 14 12 10 9 8 8 8 7 6 5 6 6 7 7 7 7 7 8 8 1 -2 4 5 5 6 6 7 6 6 6 6 6 6 5 5 4 4 3 3 3 4 7 6 4 5 9 10 12 13 12 10 9 9 10 11 12 11 10 10 13 17 19 16 11 6 4 4 5 4 4 6 7 7 6 5 4 4 5 6 6 5 5 5 5 4 4 4 5 6 6 6 6 6 5 4 3 2 3 3 3 4 6 9 11 14 14 13 11 10 9 7 4 2 2 5 9 12 11 8 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 8 10 10 7 4 3 3 4 5 7 9 10 10 11 10 10 13 15 17 17 14 11 8 6 5 3 4 5 5 4 4 5 5 5 6 6 7 6 6 5 4 3 3 2 3 3 4 4 4 3 4 4 5 5 4 4 3 4 4 4 4 4 4 5 6 6 6 5 5 5 9 11 12 11 11 10 9 7 6 7 8 7 3 -1 -0 2 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 4 5 6 6 7 6 6 6 5 6 12 21 29 37 37 24 10 4 -0 -6 -9 -10 -6 -1 1 2 3 2 2 3 4 5 6 7 7 9 11 14 14 12 10 8 6 5 7 5 -0 1 7 4 5 6 11 14 14 12 10 5 3 0 1 7 10 5 -2 7 10 2 2 3 5 7 6 6 5 4 2 1 3 4 4 4 5 7 9 11 9 -3 -2 5 5 4 6 8 7 6 6 4 4 5 10 12 8 8 9 10 8 9 7 3 8 18 17 11 12 13 12 12 11 9 8 8 5 5 5 6 6 5 5 8 15 20 14 6 5 6 7 6 6 6 6 6 5 5 4 5 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 4 4 4 5 4 3 2 2 3 3 3 4 5 5 4 3 1 0 2 4 5 5 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 7 7 8 9 10 10 9 9 8 7 8 8 8 9 11 13 14 15 16 17 17 16 14 11 9 7 7 8 9 10 8 7 7 7 6 6 7 7 7 7 8 8 3 0 3 5 5 6 6 6 7 7 6 6 6 6 5 5 5 5 4 2 2 3 4 5 3 4 7 9 10 11 11 10 9 8 9 9 9 9 9 9 11 13 15 14 11 6 5 6 7 5 5 5 6 7 8 8 7 6 6 6 5 5 5 5 5 4 4 3 4 5 6 7 7 6 6 5 4 3 3 2 2 4 4 5 6 8 11 12 13 13 14 14 11 8 5 6 8 11 12 10 6 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 6 7 11 13 9 5 3 2 2 3 4 6 8 9 9 9 8 8 11 13 14 16 15 13 11 8 5 4 4 4 3 4 4 4 5 5 6 6 7 7 7 6 5 5 5 5 5 5 4 3 3 3 4 5 5 4 4 4 4 4 4 4 3 4 4 5 6 6 6 5 4 5 6 9 10 11 12 12 10 8 9 9 7 3 0 0 3 4 5 4 2 2 2 2 2 2 2 2 2 2 3 3 4 5 4 4 5 7 8 7 6 5 5 5 12 23 31 33 29 23 16 9 6 0 -5 -10 -10 -5 -0 2 2 2 2 2 3 4 5 6 7 8 8 8 14 19 17 12 10 8 6 6 6 -0 1 7 9 9 7 9 9 10 10 11 7 2 -1 4 11 8 1 7 17 15 4 2 4 6 6 4 3 4 6 6 6 7 7 6 7 9 6 7 11 8 1 7 8 3 0 4 7 7 4 1 3 10 8 6 8 8 8 5 6 9 12 8 7 16 23 19 13 12 13 12 12 12 10 9 8 6 5 5 5 6 5 6 11 20 19 9 4 4 6 6 6 6 6 7 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 2 1 2 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 7 8 8 9 10 9 9 9 8 7 7 8 9 10 12 14 15 16 17 17 17 16 13 10 8 6 6 6 6 7 8 7 6 6 7 7 6 7 7 7 7 7 6 3 1 4 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 3 2 3 4 6 1 1 5 7 10 10 9 8 8 6 6 6 7 8 9 10 10 11 12 12 10 8 8 8 7 7 6 5 6 6 6 7 7 7 7 6 5 5 5 5 5 5 4 3 3 4 5 6 7 7 6 6 5 3 3 3 2 3 3 4 4 5 6 9 11 13 16 20 21 18 12 8 9 12 12 11 7 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 6 9 12 10 7 4 2 2 2 2 3 4 6 7 7 7 7 7 8 10 11 14 14 14 11 9 6 5 5 4 4 3 4 4 5 6 7 7 7 7 8 9 10 11 10 8 6 5 4 4 4 5 6 5 4 4 4 5 5 4 4 3 3 4 5 6 6 5 5 4 4 5 6 7 9 11 12 12 10 9 9 7 3 2 2 4 5 5 4 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 6 9 8 7 6 5 5 10 19 28 32 27 14 6 6 9 12 8 0 -9 -8 -3 1 2 2 2 2 3 4 5 6 6 7 8 7 9 17 21 16 12 12 11 9 7 7 3 2 4 9 8 5 5 5 5 6 13 8 0 -2 4 9 5 4 13 17 12 9 5 4 3 4 2 0 5 11 13 11 11 9 7 7 8 5 4 8 6 5 9 8 4 4 8 10 8 7 4 4 9 9 5 4 8 9 5 3 14 16 11 13 20 22 17 13 12 13 12 12 12 11 9 7 6 5 4 5 5 5 7 15 22 16 5 3 4 6 6 6 6 6 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 4 4 3 2 3 4 6 6 6 5 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 6 6 5 5 5 5 5 5 6 7 8 8 9 10 9 8 8 8 8 8 8 9 10 12 14 15 16 16 16 15 14 12 10 8 7 6 5 4 2 2 4 6 6 6 6 5 5 6 7 7 7 7 6 2 -2 2 6 6 6 6 6 6 7 7 4 3 3 3 3 4 4 5 5 4 3 3 7 2 -1 3 6 8 9 9 8 7 6 5 5 6 8 9 9 9 10 11 12 12 12 12 12 11 9 7 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 4 4 4 3 4 5 6 7 7 7 6 5 3 3 3 2 3 3 3 3 5 7 8 10 13 20 27 27 20 12 9 11 13 11 8 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 6 8 9 7 5 3 3 2 2 2 2 3 4 5 5 5 5 6 7 8 9 11 12 12 11 10 9 8 7 5 3 3 4 5 6 7 6 6 7 9 12 14 15 13 9 7 6 5 6 7 7 6 6 4 3 4 5 6 5 4 3 3 3 4 5 5 5 4 4 5 5 5 6 7 9 11 11 11 9 8 7 6 6 6 5 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 6 8 10 9 8 7 6 8 13 17 21 28 26 13 1 2 12 17 11 -2 -12 -7 -0 2 2 2 2 3 4 5 5 6 7 8 9 9 14 19 17 13 10 10 11 11 9 6 5 5 5 5 4 6 7 9 4 4 8 4 -3 0 8 10 6 7 6 7 6 10 8 2 1 5 3 -1 4 12 15 13 12 13 11 7 7 4 2 5 3 6 4 8 8 7 12 13 9 7 7 7 6 5 6 6 10 11 8 5 11 11 12 16 18 16 14 12 11 12 12 12 11 10 8 7 6 4 4 5 5 4 8 18 22 12 4 3 5 6 6 7 7 6 6 6 6 5 5 5 5 5 4 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 4 4 3 3 4 5 5 6 5 4 4 3 4 3 3 3 3 3 4 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 5 5 5 5 5 5 6 7 8 9 9 9 8 7 7 7 8 8 8 10 11 12 15 16 15 15 14 13 12 11 9 8 8 7 7 6 5 2 1 3 6 6 6 5 4 4 5 6 5 6 7 7 4 -1 0 5 6 6 6 5 6 7 8 8 4 3 3 3 3 2 3 5 5 4 3 3 2 1 3 4 6 8 9 7 6 6 5 6 6 7 8 8 9 10 12 12 13 13 14 16 17 15 11 8 7 7 8 10 10 8 8 7 6 5 5 5 4 4 4 4 3 3 4 5 5 6 7 7 7 6 5 3 2 2 3 3 3 3 4 6 7 7 9 15 23 28 24 15 8 9 12 12 11 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 4 5 6 6 5 5 5 4 3 3 2 2 2 3 3 3 4 5 6 7 7 8 9 11 12 12 13 13 12 8 5 3 3 4 5 6 6 6 6 8 9 11 11 9 7 6 6 7 8 9 8 7 5 3 3 4 6 6 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 7 8 9 10 9 8 8 9 9 9 7 5 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 7 10 12 13 11 8 8 12 11 7 11 23 27 19 9 8 13 10 0 -10 -14 -6 1 2 1 1 2 3 4 5 6 6 7 12 15 14 17 17 12 12 12 9 10 12 10 6 5 7 6 4 4 2 1 3 0 2 0 -3 -6 3 12 10 5 3 2 4 8 8 6 0 -2 5 6 -0 1 9 13 12 15 18 14 8 7 6 5 5 1 4 -1 2 5 5 11 12 8 4 4 6 7 4 4 9 12 11 9 10 7 6 10 14 15 13 11 10 11 11 12 11 10 9 8 6 6 5 4 5 6 6 8 17 20 10 3 4 6 6 6 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 8 9 9 8 7 7 6 6 7 8 9 10 11 12 14 15 15 15 14 12 11 10 9 7 6 6 5 5 5 6 7 6 5 5 5 5 5 4 4 5 6 6 5 6 7 5 2 1 5 6 6 6 5 6 6 8 9 9 8 6 6 6 4 4 5 5 6 5 2 1 2 3 3 4 6 7 7 6 5 5 5 6 6 7 7 6 7 9 10 10 11 14 18 21 19 15 11 9 10 12 15 16 15 12 9 7 6 5 4 4 5 5 5 3 3 4 4 4 5 6 7 7 8 7 5 3 2 3 3 3 3 4 5 6 7 7 10 15 20 20 14 8 8 10 12 13 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 4 4 5 5 6 6 7 7 6 5 4 3 3 3 2 2 3 4 5 6 6 8 9 11 12 14 17 17 14 8 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 6 7 8 9 8 6 4 3 3 4 6 6 6 5 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 7 7 7 7 7 8 10 9 8 5 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 4 6 10 14 17 16 13 8 7 10 6 2 8 19 23 18 16 11 3 -8 -14 -14 -10 -3 1 1 -0 0 2 3 4 6 6 7 11 18 18 14 13 12 10 13 13 10 10 10 9 7 6 6 6 6 5 -2 -3 -1 -2 -3 -3 -1 -2 2 10 6 1 1 2 6 8 6 6 1 -6 2 8 2 1 7 13 14 20 23 16 10 9 9 8 4 7 10 2 -1 -1 1 8 7 5 5 6 9 9 5 1 5 10 9 9 9 5 8 13 14 13 11 9 9 10 11 11 10 9 8 7 6 5 4 4 6 6 6 7 15 19 10 3 5 7 7 7 7 7 7 7 7 6 5 5 6 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 4 3 3 4 5 6 6 5 4 4 5 5 5 6 6 6 5 5 5 4 4 4 3 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 6 7 7 6 7 7 7 7 7 6 6 5 5 5 5 6 6 6 7 8 9 9 8 7 6 5 6 7 8 9 10 11 12 14 15 14 13 13 12 11 10 9 8 7 6 5 4 3 1 3 7 8 6 5 5 4 4 3 2 4 9 10 6 5 6 5 3 4 6 7 6 6 6 5 6 7 8 9 9 9 8 8 7 6 6 6 6 6 4 2 2 2 2 3 4 5 6 6 5 5 4 5 5 6 6 5 4 5 7 8 9 12 16 19 17 14 12 11 12 16 20 22 21 17 12 8 7 5 4 5 8 10 9 7 5 4 3 4 4 5 6 7 8 8 7 5 3 3 3 3 3 3 4 6 7 8 8 8 12 14 10 7 8 9 10 11 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 6 5 5 4 4 4 5 6 7 8 9 9 8 8 7 5 3 2 2 2 3 4 5 6 7 9 11 13 15 18 18 13 8 5 4 4 3 4 5 5 5 3 2 3 4 5 5 5 6 7 8 7 5 3 3 3 4 6 7 6 5 4 4 4 5 5 6 6 5 5 4 4 5 4 4 4 5 5 5 5 5 6 6 8 8 7 5 3 3 2 3 2 3 2 2 2 3 3 4 4 4 4 7 12 17 20 17 13 10 5 2 4 3 -1 4 13 13 9 11 2 -15 -25 -20 -11 -5 -2 -1 -0 -0 1 3 4 5 6 8 12 17 19 14 10 9 9 9 9 9 8 9 8 10 9 6 4 8 13 9 4 7 10 4 -2 0 5 2 0 7 4 0 -0 -0 -1 -2 4 7 4 -2 2 6 2 2 8 12 15 22 23 15 10 10 9 6 6 12 13 10 8 0 3 7 4 3 6 8 8 5 2 0 4 6 7 8 11 11 15 18 15 12 10 8 9 10 10 11 10 8 7 7 5 4 4 5 6 7 5 5 12 18 12 5 6 8 8 8 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 6 5 5 4 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 8 8 8 6 5 5 5 6 7 8 9 9 11 13 14 14 12 11 11 11 10 9 9 8 7 7 5 4 1 -2 -2 3 6 6 6 5 5 4 3 1 1 6 10 9 6 5 3 3 4 7 7 7 6 6 6 6 7 7 7 7 8 8 7 7 6 6 6 7 7 7 5 3 2 2 2 3 4 5 6 5 4 4 4 4 4 4 4 4 4 5 6 7 9 11 13 13 11 10 11 14 18 21 23 22 19 14 11 8 6 7 9 11 14 15 14 10 7 5 4 3 3 4 5 6 8 8 8 5 4 3 3 3 3 4 5 6 7 6 6 8 9 8 6 7 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 7 7 7 7 7 7 8 11 14 14 11 7 3 1 0 3 7 10 10 8 8 7 6 5 4 5 5 5 5 5 7 10 13 14 13 13 14 14 11 8 6 5 5 5 5 6 7 7 7 6 5 4 4 4 4 4 4 4 5 6 7 7 6 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 5 5 6 7 7 8 8 8 7 7 7 7 7 6 5 4 4 5 6 4 3 10 20 24 18 12 5 -3 -5 1 3 -5 -2 14 22 15 3 -3 -7 -13 -19 -18 -10 -6 -5 -3 -1 2 6 8 9 9 13 19 21 17 10 7 9 12 16 16 14 13 10 9 5 3 8 12 10 6 5 6 8 6 10 14 12 9 6 6 5 6 10 5 4 5 11 10 7 6 4 3 6 7 6 2 0 7 12 6 -2 -0 13 8 -0 4 10 12 11 9 9 8 1 -3 10 18 10 6 1 -3 2 9 11 13 17 20 21 20 19 18 14 10 9 8 7 7 8 9 9 8 7 7 7 6 5 4 4 6 7 5 3 7 14 13 8 6 8 9 8 7 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 6 5 5 4 4 4 4 5 5 5 6 5 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 5 5 4 5 6 6 7 7 7 8 8 7 5 5 5 5 5 6 7 7 7 8 10 13 14 13 10 8 7 6 5 4 4 4 4 4 4 4 4 4 6 5 4 5 4 4 5 5 5 5 5 4 4 5 6 6 3 3 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 6 5 3 3 4 5 6 6 6 5 4 4 4 4 6 6 6 5 5 4 4 3 3 3 5 6 6 7 8 9 10 11 11 11 12 13 13 12 12 13 14 17 21 24 22 18 15 12 10 9 8 8 7 7 7 5 4 4 3 3 2 2 2 3 4 4 5 4 4 5 5 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 8 7 6 6 6 7 11 15 16 11 6 3 2 1 2 4 5 7 8 8 9 8 7 6 5 5 4 4 4 6 8 11 12 11 11 13 15 14 11 8 7 6 6 7 7 7 6 6 5 5 4 4 4 4 5 5 5 5 5 6 7 6 5 3 3 4 4 4 4 4 5 6 6 6 7 7 6 4 4 4 4 4 5 6 7 8 8 7 6 6 8 9 8 6 5 5 5 6 6 5 10 22 25 15 8 8 4 0 -0 3 1 -7 5 24 34 25 10 3 1 -5 -9 -8 -7 -6 -3 0 4 7 10 11 11 12 18 22 17 12 9 10 11 13 15 12 11 11 10 11 10 6 8 12 11 7 5 7 8 8 6 5 5 4 8 14 13 9 8 -2 0 5 6 9 12 10 5 3 5 7 6 3 2 6 11 7 -6 2 17 8 0 3 7 10 11 10 10 4 -0 6 16 15 9 8 2 -2 1 6 10 14 20 23 22 18 16 12 10 8 7 7 7 7 7 9 9 8 7 6 6 6 5 4 4 6 6 3 2 6 12 14 11 8 8 8 8 7 6 6 7 7 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 6 6 7 8 7 5 5 4 4 4 5 5 5 5 6 6 5 4 4 4 4 6 6 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 7 7 7 7 7 6 6 5 4 4 5 6 6 7 7 7 8 7 5 5 5 4 5 5 6 6 7 7 8 11 14 14 12 9 7 6 5 4 4 3 3 3 4 4 6 7 7 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 5 7 7 7 7 7 6 7 6 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 6 5 4 4 5 6 6 6 5 5 5 5 6 7 7 6 5 5 5 5 4 3 2 2 3 4 4 5 6 6 7 7 7 7 8 9 9 9 11 14 17 19 20 18 16 14 13 14 14 13 12 9 7 6 6 5 4 3 2 2 2 2 2 3 5 5 5 4 5 5 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 9 8 7 6 6 8 12 12 9 5 4 4 3 2 3 4 4 6 7 8 9 8 7 5 5 4 4 4 5 6 9 10 10 8 8 11 12 11 9 7 7 7 7 7 6 6 5 5 4 4 3 4 5 5 6 7 6 6 5 6 6 5 4 3 4 4 4 5 5 5 5 5 6 7 6 5 5 5 5 5 5 6 6 6 6 7 6 5 5 6 6 7 5 4 5 5 5 7 13 21 25 18 9 4 0 -1 3 4 4 -2 -8 10 20 23 18 1 -8 -12 -15 -15 -9 -6 -2 2 6 10 13 14 13 12 14 21 20 15 13 15 15 14 12 11 8 10 11 8 10 10 5 6 10 10 7 7 7 4 5 2 0 2 7 12 15 14 10 6 -4 -1 4 2 7 13 12 8 5 6 8 8 6 3 4 10 10 -2 3 9 6 5 4 6 10 11 9 7 -0 -4 13 19 8 3 6 4 1 3 4 9 15 19 20 19 17 14 11 8 7 6 7 8 8 7 8 8 7 6 6 6 5 4 4 5 6 5 3 4 6 10 14 14 10 8 8 8 7 6 6 6 7 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 6 5 4 4 4 5 5 5 5 5 5 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 7 7 7 7 6 6 5 5 4 5 6 6 7 7 7 7 7 6 5 4 4 4 5 5 5 6 6 6 7 12 15 14 12 9 6 5 4 3 4 4 3 2 3 3 4 8 10 5 5 6 6 6 6 6 5 6 6 6 6 5 6 5 4 3 5 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 5 5 6 6 7 6 6 6 7 7 8 8 7 6 5 4 5 5 4 2 1 1 2 2 2 3 3 4 4 4 4 4 5 6 7 9 13 16 17 15 13 10 9 10 12 14 15 14 13 10 7 5 5 4 3 3 3 2 2 3 3 5 6 6 5 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 11 12 12 12 9 7 6 8 10 8 7 6 5 4 4 4 4 4 5 6 7 8 7 6 5 5 4 5 5 5 6 7 9 9 7 5 6 8 9 8 7 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 7 8 6 5 5 6 5 4 4 4 3 4 4 5 5 4 5 5 5 5 5 6 6 6 6 6 7 6 6 5 5 5 5 3 2 3 3 3 4 4 4 6 13 20 20 11 5 1 -4 -4 2 9 8 2 -4 -4 5 8 6 3 -17 -26 -26 -20 -12 -4 2 6 10 13 15 16 16 16 14 17 22 18 13 14 17 17 14 8 5 6 12 13 7 7 9 5 4 8 10 8 8 6 1 3 6 6 2 9 11 9 12 14 9 2 3 7 7 4 5 6 6 6 7 8 9 9 5 3 7 8 3 1 2 8 3 0 11 20 19 12 4 -1 1 13 13 6 0 4 5 3 4 5 9 15 16 15 14 14 12 9 8 8 7 8 9 8 8 8 8 7 7 7 6 5 4 4 5 6 5 4 5 5 7 14 17 11 6 6 7 8 7 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 4 4 4 5 6 7 7 7 5 4 4 3 4 5 6 5 4 5 6 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 6 6 7 7 7 6 6 6 5 5 5 5 6 6 7 6 6 6 5 5 5 4 4 4 4 5 5 5 4 4 8 12 14 15 12 8 6 5 4 4 4 4 3 2 1 0 -2 3 9 7 6 6 6 7 7 6 6 6 6 6 5 5 5 6 4 3 5 7 7 6 6 6 7 7 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 7 7 7 8 9 9 8 7 5 5 5 5 5 5 4 3 2 2 1 1 1 1 2 2 2 2 3 3 4 5 6 9 12 14 13 11 9 9 9 10 11 13 15 16 14 10 7 5 4 4 4 3 3 3 3 4 5 6 6 6 5 6 6 6 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 11 12 13 14 14 13 11 8 7 8 8 7 7 6 6 6 6 5 5 5 5 6 7 7 6 6 5 5 5 6 6 6 7 8 8 8 5 5 6 8 8 6 6 5 5 5 5 5 5 5 5 4 4 5 5 6 6 7 8 7 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 6 7 6 6 6 7 7 6 5 4 4 4 4 4 3 2 2 3 4 4 4 8 12 11 4 -3 -5 -8 -7 5 14 14 7 2 0 -0 -2 4 2 -9 -19 -19 -13 -5 3 8 12 15 16 17 16 17 19 19 16 20 22 15 11 12 13 13 12 6 1 5 13 12 7 6 11 10 5 4 5 8 9 7 2 0 5 6 -0 6 8 6 15 18 12 9 10 11 11 7 4 2 4 4 6 7 9 9 6 4 3 1 3 4 7 8 -2 3 19 26 23 16 5 1 6 11 9 8 5 4 4 3 6 9 11 13 13 11 9 8 8 8 9 9 9 9 8 8 8 7 7 8 8 7 7 5 4 4 5 5 5 5 4 3 6 17 20 12 4 3 7 8 6 5 6 6 7 6 6 7 6 6 6 5 6 6 5 5 6 6 6 5 5 4 4 5 6 6 7 6 5 4 4 3 3 4 6 6 4 4 5 6 5 5 4 4 3 3 4 4 4 4 5 5 5 6 5 5 5 4 4 5 6 6 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 7 11 14 15 12 8 6 5 5 5 5 5 4 3 3 2 -1 1 6 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 8 8 8 7 8 9 10 10 9 7 7 7 7 6 5 6 6 5 4 4 4 2 2 2 2 2 2 2 3 3 4 3 3 5 8 11 12 10 10 10 11 11 11 13 15 18 18 15 10 6 5 5 4 4 4 4 3 3 5 6 6 5 4 5 6 6 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 13 12 13 12 12 13 14 14 12 10 9 8 7 6 7 7 7 7 6 5 5 5 6 6 7 7 7 6 5 5 6 7 7 7 7 7 6 6 6 6 7 7 6 6 5 5 5 5 6 6 6 5 4 4 4 5 6 7 7 8 7 6 5 5 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 6 8 7 2 -2 -1 -2 -5 4 14 14 9 3 5 7 3 0 6 5 -3 1 7 13 15 17 19 19 18 17 15 16 18 20 20 18 19 17 12 8 7 8 10 11 7 2 5 10 9 5 5 12 14 10 4 1 6 8 6 5 2 2 4 2 4 6 1 5 9 11 13 14 13 12 11 8 4 4 6 7 8 9 7 6 7 1 -4 3 14 14 4 -3 8 19 18 17 12 6 3 8 9 9 10 9 3 4 6 12 16 13 10 9 8 5 5 6 8 9 10 10 9 8 7 7 7 8 8 9 8 7 5 4 4 4 4 4 3 3 4 9 16 17 12 6 3 5 6 5 5 5 6 7 6 6 7 6 6 6 6 6 6 6 7 6 6 6 5 4 4 5 6 7 7 6 5 4 4 3 3 4 5 5 5 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 6 5 5 5 4 5 5 5 6 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 5 4 4 4 3 4 4 4 4 5 4 4 4 6 10 14 15 13 9 6 6 6 6 5 5 4 3 4 6 7 5 5 6 6 6 6 5 5 6 6 5 5 5 6 6 5 5 6 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 10 11 11 9 7 8 9 9 8 7 7 7 6 6 6 6 6 5 5 4 4 5 4 4 4 4 4 3 4 5 7 8 9 9 10 10 11 12 13 15 18 20 18 15 11 8 6 5 4 4 4 4 3 4 5 5 5 4 4 5 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 13 12 10 10 11 13 14 14 14 12 11 10 8 6 6 6 6 6 6 5 5 5 6 6 7 7 7 6 5 6 7 8 8 7 6 6 6 6 6 6 6 7 6 5 5 5 6 6 7 7 6 5 4 4 5 6 7 7 8 8 6 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 6 9 12 10 6 4 5 7 8 8 11 11 7 1 1 8 9 5 4 6 7 7 15 22 25 25 24 21 18 14 12 12 16 18 16 12 13 14 11 9 8 7 7 10 13 11 6 5 6 4 5 5 7 9 11 9 4 6 6 4 6 6 5 6 5 -2 4 4 -2 1 9 12 12 11 12 11 9 7 5 8 9 10 8 6 7 8 4 -1 6 18 14 -0 -3 7 11 11 10 5 7 8 8 6 5 8 8 2 4 11 14 14 9 7 8 8 7 6 7 7 9 10 10 9 7 6 6 7 7 9 8 8 7 6 4 4 4 4 4 2 2 5 9 12 15 15 10 6 5 4 4 4 4 5 6 6 6 6 7 6 7 6 6 6 7 7 7 6 6 6 5 5 6 6 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 5 4 4 5 5 6 6 7 7 6 6 6 5 5 5 5 5 6 6 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 8 13 15 14 11 7 6 6 5 4 3 3 4 5 8 9 6 6 6 6 6 6 5 5 4 5 6 6 6 6 6 5 5 7 8 7 7 6 6 7 7 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 10 11 10 9 8 7 8 8 9 11 10 9 8 9 9 10 10 10 9 9 8 7 6 7 8 8 7 7 7 7 7 6 6 5 3 4 4 4 5 6 6 7 8 9 11 12 13 15 17 19 19 18 15 13 11 8 7 5 5 5 4 4 4 5 4 4 3 3 4 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 12 11 9 8 8 10 11 12 15 16 16 16 13 10 7 6 5 5 5 5 5 5 5 5 6 6 7 7 6 7 7 8 8 8 7 6 6 6 6 6 6 6 7 6 5 6 6 6 7 7 6 6 5 5 6 7 7 7 7 7 6 5 6 6 6 7 7 6 5 4 4 4 4 4 5 5 5 5 6 6 6 6 5 7 8 8 9 8 7 6 6 6 7 8 7 8 10 7 3 4 6 8 10 10 8 8 10 6 -0 4 11 10 7 6 6 7 11 18 25 25 22 17 12 8 7 8 12 16 15 9 6 9 11 9 8 8 9 9 12 14 9 7 7 5 4 5 7 3 5 12 11 9 9 5 4 5 6 10 15 14 2 5 8 1 2 6 8 8 8 11 10 7 7 6 8 9 9 6 4 5 6 5 3 5 12 11 4 2 6 7 13 9 5 15 16 7 -0 -0 5 8 4 3 9 11 8 3 4 9 12 12 10 9 9 10 10 9 8 7 7 7 7 8 8 8 8 8 6 5 4 4 4 3 1 2 6 8 9 13 14 12 11 10 6 4 4 4 4 5 5 5 6 7 7 7 6 6 7 7 6 6 6 6 6 6 5 6 7 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 5 5 5 4 3 3 4 5 5 5 5 5 5 4 4 5 4 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 4 3 4 7 11 15 15 12 8 6 5 4 4 3 3 4 5 6 7 6 6 7 7 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 7 7 7 7 7 8 8 8 8 9 8 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 9 10 10 11 11 10 9 8 8 8 8 9 8 7 6 7 8 10 10 11 11 11 10 8 7 6 7 7 7 7 7 7 8 8 7 5 3 2 3 4 4 5 5 6 7 8 10 11 13 15 16 16 17 16 14 14 14 13 12 10 7 6 5 4 4 5 4 3 3 3 3 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 9 8 8 7 7 6 8 11 14 18 20 20 16 13 10 8 7 6 5 4 4 3 4 5 5 6 7 9 9 8 8 9 8 8 7 6 6 5 5 6 7 7 7 7 6 6 6 7 7 7 7 5 5 6 8 8 7 6 6 6 5 5 5 6 7 7 7 7 5 4 4 4 4 4 5 5 6 7 6 6 5 5 7 10 12 11 9 7 5 5 6 7 8 9 9 6 0 0 5 6 7 8 8 6 8 12 6 -1 7 18 17 11 8 11 11 13 16 16 10 5 2 1 2 6 12 16 16 10 5 6 9 11 10 9 9 8 10 13 13 6 7 8 7 5 3 5 3 8 11 9 12 13 8 7 9 6 8 16 17 9 6 7 7 2 1 2 1 4 11 13 7 5 7 7 8 7 4 3 4 5 5 1 -1 7 10 7 9 11 12 14 6 4 14 15 5 -4 -2 6 11 10 6 6 7 3 -1 3 10 15 15 13 11 10 11 10 9 8 7 8 8 8 8 7 7 7 7 7 6 6 5 4 3 2 2 6 7 7 9 10 11 15 14 8 6 6 4 3 4 4 4 6 7 7 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 4 3 4 5 5 5 5 5 5 5 5 4 5 6 5 6 6 6 6 5 5 6 6 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 7 10 14 16 14 9 5 4 3 3 3 4 5 6 6 6 6 6 7 6 5 3 4 5 6 5 5 5 5 6 5 4 6 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 7 7 5 5 4 4 5 6 7 8 9 10 10 8 7 6 5 5 5 6 6 6 7 8 7 5 4 3 3 3 3 4 5 5 6 7 8 10 12 14 15 15 15 14 12 11 12 15 15 14 11 9 7 6 5 4 5 5 4 3 3 3 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 8 8 8 7 6 6 7 10 13 17 21 21 19 17 15 13 12 10 8 5 4 3 4 4 5 7 10 11 9 8 7 8 8 8 7 6 6 6 6 7 8 9 8 8 7 6 7 7 7 6 6 5 6 8 8 8 7 6 5 5 4 5 6 7 8 9 8 7 5 4 4 4 4 4 5 7 7 6 5 5 6 8 10 11 11 8 7 6 7 7 8 9 9 9 8 8 10 9 7 6 6 6 5 7 10 4 -0 9 24 31 25 14 11 9 7 3 -3 -8 -8 -4 -0 5 14 20 18 12 6 4 6 8 9 9 10 11 11 12 15 13 5 6 8 5 6 6 5 4 8 7 5 11 12 10 11 12 7 5 7 10 8 4 11 14 5 4 -0 -2 6 15 15 8 6 9 7 7 6 5 4 4 6 7 1 0 10 11 6 9 15 19 15 4 3 8 12 6 -1 2 8 12 14 12 8 7 2 -1 5 13 16 15 12 10 9 10 10 8 8 8 9 9 9 8 8 6 7 7 7 6 6 6 5 5 3 3 5 6 6 7 8 10 13 11 7 10 12 6 4 3 4 4 4 6 6 6 6 6 5 5 5 5 6 6 6 6 7 8 8 8 6 6 5 5 5 5 5 4 4 3 3 3 4 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 5 6 5 5 5 5 6 6 5 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 8 11 14 14 10 6 3 3 3 3 4 6 6 7 7 6 5 6 5 5 4 4 5 5 5 4 4 4 5 5 2 4 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 10 10 9 8 8 7 7 7 7 6 5 5 4 3 3 3 3 3 4 5 7 8 7 6 5 4 4 4 5 5 5 6 6 7 6 5 4 4 4 3 3 4 5 6 6 7 8 10 11 13 14 14 13 12 11 12 14 17 18 16 13 10 7 6 5 5 5 4 4 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 18 14 9 7 4 4 8 17 21 14 10 10 11 9 10 8 8 10 12 17 20 19 12 12 11 14 14 13 17 19 14 1 0 1 -2 6 10 12 9 6 4 15 15 10 13 16 17 16 15 15 13 11 10 9 9 11 14 14 13 12 14 15 16 16 15 12 8 5 6 12 14 14 13 13 14 15 15 14 14 17 17 17 17 15 12 10 8 7 7 9 9 8 8 9 10 11 12 12 10 10 9 8 9 9 10 12 14 13 14 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 11 10 11 11 12 12 11 12 12 13 14 13 12 11 11 11 9 8 10 15 21 21 15 5 6 14 17 18 16 15 14 14 13 13 12 13 13 14 14 14 14 13 13 13 13 13 14 14 14 13 12 11 12 12 12 12 12 11 12 12 14 14 12 11 12 13 13 14 15 15 14 14 15 16 15 14 14 13 12 13 15 15 14 13 13 15 19 19 16 15 15 16 16 17 18 18 17 18 18 17 17 17 16 15 14 14 14 15 17 18 18 17 17 16 16 16 15 13 12 12 16 18 15 14 15 15 16 17 17 17 17 16 16 16 17 17 17 17 17 17 17 17 18 19 18 17 16 14 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 12 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 13 15 16 15 14 13 11 10 10 9 9 9 10 10 10 10 10 10 9 10 9 9 9 10 10 10 11 12 12 12 12 13 12 12 12 13 13 13 13 13 14 13 12 12 12 11 11 11 10 11 13 12 13 13 13 13 13 13 12 11 11 12 14 17 16 14 13 12 12 13 14 13 12 11 9 10 11 12 13 14 14 15 15 15 15 15 16 16 14 11 9 10 12 13 12 11 10 10 10 10 11 8 2 -2 -0 8 17 22 24 24 21 16 14 14 13 12 12 13 13 12 13 14 14 14 14 14 15 14 13 14 15 16 17 16 15 15 14 13 14 15 15 15 16 16 16 16 17 17 16 14 14 15 15 15 15 15 14 13 13 13 14 14 14 14 14 15 16 16 16 15 14 14 13 13 12 11 12 12 13 nan
nan nan nan nan nan nan nan 16 20 17 13 6 5 7 12 13 9 7 11 16 19 20 17 11 8 11 13 18 19 19 17 13 6 -0 -1 2 10 15 15 10 5 5 9 11 14 15 14 12 12 12 12 12 12 11 11 13 16 17 16 11 9 12 13 17 20 20 18 14 9 9 11 11 12 13 14 15 15 13 10 9 10 12 16 18 18 13 9 9 7 8 9 10 10 10 10 11 11 12 11 9 8 8 7 7 8 11 13 14 14 13 14 13 12 13 12 13 13 13 13 13 13 13 13 14 13 12 11 11 11 10 11 10 10 11 12 13 13 14 14 14 13 12 11 11 11 12 13 15 17 18 16 11 8 8 11 14 16 16 15 16 15 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 12 12 12 12 12 12 12 11 12 14 14 13 13 12 13 14 14 14 15 16 15 14 14 14 14 14 13 12 12 14 15 14 13 12 10 11 20 22 17 16 17 17 17 17 17 17 17 16 16 16 16 17 18 16 14 13 13 14 15 17 18 17 16 16 16 17 16 14 11 8 10 14 14 14 13 15 17 19 20 20 18 15 15 14 14 15 15 16 16 15 15 16 15 15 16 15 15 15 15 14 12 12 12 11 11 11 11 11 12 12 11 11 11 12 12 13 12 13 13 12 11 11 10 10 9 10 10 10 10 11 11 11 12 13 13 13 13 12 10 9 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 14 13 13 12 12 11 11 12 12 13 13 13 13 13 13 13 13 12 11 11 11 12 12 13 13 13 13 13 13 12 11 11 13 15 15 13 13 14 14 14 14 13 11 9 9 9 10 11 13 13 14 14 14 14 14 13 13 14 16 14 12 13 17 20 19 14 11 10 11 10 10 11 8 6 7 14 22 30 27 18 17 17 15 14 14 13 11 11 13 14 14 13 14 14 15 15 15 14 14 14 14 15 15 16 16 15 15 14 15 15 15 14 15 15 16 18 19 18 15 13 13 14 15 15 16 15 14 14 14 14 14 15 14 14 15 15 15 15 15 15 15 14 13 13 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 7 8 8 13 15 16 16 15 13 13 7 9 18 17 15 15 16 14 10 7 7 12 19 21 19 12 6 4 9 13 16 17 16 14 12 10 10 11 10 11 13 16 19 17 11 11 12 14 16 19 20 19 16 11 12 12 13 12 13 13 13 13 11 10 9 8 9 11 13 13 13 11 8 8 10 11 11 11 12 13 13 13 14 12 10 8 7 5 5 7 11 12 13 13 14 13 12 12 12 12 13 13 13 13 12 13 13 13 14 14 13 12 11 10 10 10 11 12 12 13 13 14 14 14 13 13 12 11 8 10 14 15 15 14 14 12 11 11 10 11 14 15 15 14 14 14 13 13 14 14 13 13 13 13 12 13 13 12 13 13 13 13 13 13 12 12 12 12 11 12 12 11 12 14 14 13 12 10 7 8 14 23 26 20 16 15 14 14 14 13 12 12 13 15 15 15 14 13 10 10 16 18 15 16 17 18 18 17 17 17 17 16 15 15 14 16 17 17 15 13 12 12 14 16 17 17 15 15 15 15 17 19 18 14 12 14 14 14 13 13 12 15 19 22 20 17 15 14 14 14 15 15 15 15 15 15 15 15 15 15 15 16 16 15 14 13 13 12 11 12 11 12 12 12 12 12 12 12 12 11 12 12 12 11 10 10 11 10 10 10 10 11 11 12 13 13 14 15 15 13 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 13 14 14 15 15 13 12 11 11 10 11 11 11 12 12 12 13 13 14 13 13 12 11 11 11 11 12 13 13 12 12 13 12 12 11 12 13 14 13 11 12 15 16 13 10 7 4 4 7 11 12 12 12 13 13 14 14 14 13 12 12 13 14 17 18 19 19 20 18 14 12 12 10 9 10 11 11 13 14 17 20 20 17 15 13 14 15 15 14 13 11 12 13 14 15 15 14 14 15 15 14 14 13 14 14 15 16 16 16 15 16 16 16 15 15 14 14 15 16 18 19 19 15 11 13 14 15 15 15 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 14 13 13 13 13 12 11 11 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 8 10 7 5 13 17 18 12 11 13 23 23 13 10 12 19 22 17 10 5 6 9 15 18 19 18 16 13 9 9 10 10 11 14 18 21 17 12 10 10 11 13 14 14 14 13 13 16 16 15 13 11 11 11 11 11 11 12 11 10 8 8 11 14 10 8 9 10 11 11 11 12 13 15 16 16 15 12 9 6 3 5 8 10 11 12 13 13 12 12 12 12 12 13 13 12 12 13 13 14 14 14 14 13 11 10 10 9 10 11 12 13 13 13 14 13 13 13 12 12 11 9 11 14 15 15 13 11 12 13 13 12 12 14 15 14 13 12 12 13 13 14 14 13 12 12 12 13 12 13 12 12 12 13 13 12 12 12 13 13 12 12 11 11 12 12 13 13 13 11 9 3 -1 4 19 31 32 28 21 15 14 13 13 13 12 13 14 15 16 15 15 15 13 14 14 13 14 16 17 17 17 18 17 16 16 16 15 14 14 15 16 15 14 12 11 11 13 16 18 17 15 15 14 13 18 22 18 16 15 15 15 14 11 6 3 7 13 17 18 18 17 16 15 15 16 16 15 15 15 15 15 15 16 17 17 16 15 15 14 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 12 12 13 14 15 15 15 13 11 9 10 10 10 10 9 9 9 9 9 8 9 9 8 9 9 9 10 10 10 12 13 13 14 14 15 15 14 12 12 11 11 11 11 11 10 10 10 12 13 13 14 13 12 11 11 10 11 11 12 13 12 12 12 12 12 11 11 11 12 13 13 13 13 14 12 7 5 4 5 7 10 12 12 13 13 13 13 14 14 14 13 12 12 13 15 18 22 21 17 14 12 12 12 12 11 10 11 11 12 12 12 12 12 12 13 14 14 14 15 14 14 13 12 12 13 14 14 13 13 15 15 15 14 13 13 14 16 16 17 16 16 16 15 16 16 15 15 14 14 15 17 19 20 17 13 11 13 14 15 14 13 14 14 13 13 13 14 15 15 15 15 15 15 15 16 15 14 14 13 13 12 12 12 12 13 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 15 7 9 19 19 14 8 10 12 14 12 8 7 11 13 13 13 14 13 12 12 11 10 12 12 13 15 18 19 15 11 9 8 7 7 8 8 7 7 12 16 15 14 12 9 8 8 9 12 13 13 12 11 9 10 12 14 11 9 9 10 11 11 11 11 13 15 16 15 14 13 9 4 2 5 9 11 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 14 14 13 12 11 11 10 10 10 12 13 13 13 14 13 13 13 13 12 12 12 11 12 13 14 13 12 11 12 13 14 14 14 14 13 13 12 12 12 13 13 13 13 13 13 12 11 12 12 12 12 12 13 13 13 13 13 12 12 13 12 12 12 12 12 12 11 12 12 12 11 8 2 -1 3 14 25 31 32 26 18 14 13 13 13 13 13 14 15 16 17 16 15 14 13 13 14 15 15 15 16 18 19 19 17 17 18 17 15 15 16 16 15 14 12 11 12 14 16 17 17 16 12 9 13 19 18 16 15 14 14 16 15 10 5 6 8 13 15 16 17 17 16 15 15 16 16 16 15 16 16 15 16 16 16 16 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 12 11 11 11 11 12 12 12 13 13 14 14 15 15 15 13 10 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 12 13 13 13 14 14 14 14 13 12 12 11 11 11 12 12 11 10 10 11 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 11 11 12 11 12 13 14 15 14 13 12 10 8 8 9 12 13 13 13 12 12 13 12 13 14 14 14 13 12 12 14 16 18 19 18 15 12 12 12 11 11 11 10 11 11 11 11 11 11 12 13 14 14 14 14 14 14 13 12 11 12 13 14 14 14 14 15 15 15 14 12 13 15 16 16 17 17 16 15 15 15 16 15 15 14 15 16 16 17 20 18 13 12 12 12 12 14 14 14 13 14 13 14 14 15 15 15 14 15 15 16 16 16 15 15 13 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 13 16 14 14 16 14 9 4 4 7 10 13 13 12 13 15 16 16 17 15 12 13 14 12 8 5 5 6 7 8 9 10 11 11 11 10 9 9 9 11 11 11 11 12 13 14 16 13 10 7 8 9 10 11 11 11 12 13 14 14 14 13 8 3 -0 3 8 11 12 12 11 11 10 10 10 11 12 13 13 13 13 12 13 13 13 13 13 13 12 11 11 11 11 13 14 14 14 15 13 12 13 13 13 12 12 12 12 12 12 13 13 13 12 13 14 14 14 15 14 13 12 12 12 12 13 13 13 13 13 12 11 12 12 12 13 13 13 13 13 13 13 13 12 13 13 12 12 12 13 12 11 12 12 12 13 14 11 4 -1 -0 7 18 36 37 23 16 14 14 13 13 13 13 14 15 16 16 15 15 15 13 13 15 15 13 12 17 23 27 23 20 21 19 18 17 16 15 14 14 13 12 12 12 13 14 16 15 13 12 13 15 15 16 16 15 15 15 16 16 14 10 9 10 11 13 15 16 16 16 15 15 16 17 16 15 15 16 16 15 15 15 15 14 14 13 13 13 13 13 13 12 12 11 12 11 12 13 13 13 12 12 12 12 12 12 13 13 14 15 16 17 16 13 11 9 10 10 10 11 10 9 9 9 8 8 8 9 9 9 10 10 10 10 11 11 12 12 12 13 12 12 13 13 13 12 12 12 12 11 12 12 12 12 11 11 10 11 11 11 11 11 12 12 11 10 11 12 12 12 12 12 12 12 12 12 11 13 16 16 14 13 12 11 11 11 12 12 13 13 12 12 13 13 13 13 13 14 14 13 13 13 13 14 15 19 20 17 13 12 11 11 10 10 10 10 11 12 12 11 11 12 14 14 14 13 14 13 13 12 11 11 12 12 13 14 14 15 15 16 16 15 14 14 14 14 15 16 16 15 15 15 15 15 15 15 14 14 15 16 17 17 18 18 16 14 11 11 13 14 16 14 12 13 13 13 14 14 15 15 15 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 9 13 13 12 11 12 14 16 17 17 16 15 15 14 13 13 13 12 11 11 11 11 11 11 11 12 12 14 15 13 11 10 9 11 13 17 18 19 12 7 5 7 9 10 10 11 10 9 11 13 14 14 13 10 3 -1 3 8 12 12 12 12 11 10 9 9 10 12 13 13 13 14 13 12 12 13 14 14 13 12 11 11 11 12 14 14 14 15 14 13 11 11 12 12 12 13 12 12 12 12 13 13 13 14 14 14 14 14 15 14 13 12 12 12 13 13 13 13 13 14 13 13 13 12 12 13 14 13 13 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 14 13 9 2 -3 1 27 42 31 23 17 14 13 14 14 13 14 15 16 16 16 16 16 15 14 16 15 10 5 4 16 30 28 23 24 22 19 18 18 15 13 12 13 13 12 12 12 12 14 13 13 13 14 14 14 14 14 13 13 13 13 14 13 12 11 10 10 11 13 15 15 16 15 15 16 16 16 16 16 17 16 16 16 16 16 15 14 13 13 13 13 13 12 12 12 12 12 12 12 13 13 14 14 14 15 15 15 16 17 18 18 18 17 15 13 11 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 12 11 11 10 10 11 11 12 12 12 12 12 11 11 12 12 12 12 12 13 12 12 12 14 16 15 11 9 10 10 11 11 12 12 13 12 12 12 13 14 13 14 13 13 13 13 13 13 13 14 17 19 20 19 14 11 11 10 10 10 10 11 11 11 11 11 12 12 13 14 13 13 13 12 11 11 12 12 12 13 14 14 15 15 15 15 16 15 14 14 15 14 14 14 14 15 15 15 15 14 15 14 14 14 14 14 15 17 18 17 16 14 13 12 12 14 15 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 6 6 6 6 6 6 6 6 6 7 7 6 6 8 10 12 12 16 25 33 37 37 37 38 38 38 39 40 42 45 44 39 32 23 14 12 13 14 14 11 8 8 9 12 15 17 18 19 20 19 17 17 16 16 16 16 13 8 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 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 1 2 5 7 4 1 0 1 2 1 0 0 2 10 21 31 44 56 64 66 63 59 55 49 41 32 23 14 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 13 8 9 6 2 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 2 4 8 15 18 16 14 13 13 15 16 16 14 11 9 10 13 24 35 37 35 35 34 34 34 36 43 45 39 34 32 37 52 61 62 56 42 31 22 14 6 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 21 39 73 98 111 113 116 118 124 130 129 124 118 111 100 103 105 85 63 68 82 86 86 80 71 61 54 55 61 61 62 62 68 69 72 83 90 94 113 146 168 175 168 154 147 155 159 159 159 165 161 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 6 6 7 8 10 12 12 12 18 25 28 29 30 31 33 33 34 35 36 40 40 33 26 17 9 5 7 10 10 8 5 3 3 4 6 8 8 8 8 7 7 8 10 10 10 9 6 4 2 2 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 1 6 17 29 41 52 61 63 60 57 53 46 39 32 22 11 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 1 4 9 8 8 10 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 1 0 3 5 8 19 21 14 11 8 8 10 10 8 5 4 4 2 3 8 18 30 32 32 32 32 31 31 31 31 30 29 27 26 31 42 55 59 50 41 35 31 19 9 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 8 28 58 84 93 110 119 119 123 126 125 126 127 126 128 125 114 107 114 121 124 122 112 100 85 69 59 61 62 59 57 60 64 71 80 96 121 156 166 162 161 156 142 145 157 163 162 160 160 154 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 4 5 5 4 4 4 4 4 5 6 7 8 9 10 11 11 15 20 22 23 24 28 32 34 33 31 30 32 32 29 23 15 9 6 7 8 10 9 6 2 1 1 2 2 2 2 2 2 1 1 3 4 4 3 2 2 2 2 2 2 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 28 37 46 54 56 52 49 47 44 42 38 27 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 4 7 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 10 6 3 4 7 10 20 23 14 8 4 4 4 3 1 0 0 0 0 0 1 6 20 26 28 28 29 30 30 30 29 29 28 23 15 21 30 41 47 48 45 42 41 36 27 20 17 10 6 4 2 2 7 10 4 0 0 0 0 0 0 1 1 1 5 28 66 86 105 123 122 120 120 123 127 131 132 133 130 126 127 131 132 133 129 125 123 114 101 81 72 69 65 67 73 79 88 97 118 149 173 162 148 150 148 140 144 154 162 164 164 161 154 141 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 5 4 4 4 4 4 4 4 3 4 4 5 6 7 8 10 10 12 16 16 17 18 20 22 25 27 26 24 23 24 24 21 15 10 8 8 8 9 10 9 5 2 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 4 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 1 6 14 24 30 36 41 42 39 36 37 41 44 42 29 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 1 3 1 0 0 0 1 4 9 6 5 3 0 0 0 0 0 0 0 0 0 0 3 10 14 18 18 15 13 13 12 15 21 18 13 7 4 3 1 0 0 0 0 0 0 0 0 1 7 17 24 25 25 27 29 29 29 29 30 32 3 13 26 30 33 35 42 43 42 40 38 31 28 26 26 26 24 19 28 31 18 5 0 0 0 0 0 0 0 3 21 63 103 123 128 134 128 122 117 118 124 129 132 130 130 131 131 129 123 120 117 122 130 128 119 103 89 80 77 82 90 98 106 117 137 155 155 140 136 146 148 138 136 141 153 164 167 165 157 143 132 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 nan 6 6 5 4 4 3 3 3 3 3 2 2 2 3 4 5 6 7 8 10 14 17 18 17 17 15 16 19 21 20 19 20 20 20 17 12 9 8 8 8 10 11 8 4 2 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 2 2 2 1 2 1 1 2 3 4 4 4 4 4 5 5 5 5 5 6 4 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 20 23 26 27 25 23 22 26 32 32 22 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 8 2 2 6 5 1 0 2 9 16 19 20 20 17 9 1 0 0 0 1 1 0 0 0 0 6 17 20 21 21 20 19 19 17 16 17 16 14 8 3 1 0 0 0 0 0 0 0 0 0 0 1 4 13 18 17 21 25 24 27 27 27 30 33 31 27 25 25 25 30 35 38 39 36 32 30 32 37 39 36 36 40 44 34 14 1 0 0 3 16 22 3 0 25 109 148 161 152 141 132 126 119 117 121 125 128 126 127 130 130 127 122 118 122 130 137 139 134 122 105 89 86 95 107 118 127 133 141 146 137 124 127 139 148 141 127 120 135 154 165 163 154 143 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 4 4 3 3 3 2 2 1 1 1 2 3 4 4 5 7 10 13 16 19 19 17 14 13 15 17 17 17 17 18 16 14 11 8 7 6 7 8 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 2 2 1 0 0 1 1 2 1 0 1 2 2 3 4 4 4 3 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 11 12 12 13 14 12 10 10 12 14 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 14 11 7 10 15 10 3 1 8 17 23 24 25 23 19 10 2 1 2 1 2 4 3 1 2 4 11 21 22 22 21 20 19 18 17 17 18 19 17 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 6 13 11 15 16 14 16 17 17 16 13 11 10 14 24 33 35 32 30 27 28 31 34 33 30 31 34 32 24 10 1 5 12 45 57 33 24 64 136 164 160 149 138 132 125 121 119 119 120 120 120 123 129 130 130 130 133 133 135 141 149 155 148 122 100 96 109 130 148 156 155 153 150 139 127 120 121 134 144 132 108 114 134 148 151 146 141 132 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 6 6 6 6 5 5 4 4 2 2 1 0 0 0 1 1 2 2 3 4 5 7 11 15 19 20 17 12 11 12 13 13 13 14 14 14 13 10 7 4 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 4 5 5 4 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 16 12 13 18 18 11 6 9 17 24 26 26 24 19 14 6 1 3 4 4 4 5 5 5 6 8 17 22 24 23 21 20 18 16 13 13 16 19 19 18 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 12 12 11 10 6 1 1 2 11 22 18 18 19 14 15 16 27 31 30 30 19 16 39 53 48 42 40 70 75 83 86 117 161 167 142 133 133 128 122 120 120 119 116 110 111 118 127 132 134 135 137 136 134 138 151 165 162 139 117 113 124 145 170 179 177 170 164 153 135 113 103 120 148 144 120 113 121 129 133 137 138 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 5 6 7 6 6 6 5 3 1 0 0 0 0 0 0 1 2 2 2 3 4 5 8 12 15 17 16 13 11 11 12 12 13 13 13 12 11 8 5 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 12 18 15 12 16 20 16 10 12 22 32 30 24 23 19 14 8 3 2 4 4 5 5 5 5 6 7 12 20 22 24 23 22 20 16 6 1 2 8 14 18 18 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 12 12 11 7 3 1 0 1 2 0 1 3 1 3 2 4 14 12 23 8 3 42 72 83 72 77 79 81 90 96 121 161 163 133 123 124 122 118 114 114 115 114 110 108 113 124 132 135 136 137 137 135 135 147 166 173 156 137 131 124 139 162 180 179 169 165 156 142 121 112 128 153 155 140 127 124 126 130 134 136 134 131 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 2 1 2 5 7 7 6 6 6 6 3 1 0 0 0 0 0 1 2 2 2 2 2 3 4 6 9 14 18 18 14 11 11 12 12 11 10 9 9 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 13 12 18 22 18 14 24 41 47 36 23 20 16 12 7 3 4 4 4 5 6 4 2 1 6 14 21 23 22 21 20 17 12 2 0 0 0 2 9 13 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 9 8 6 4 0 0 0 0 0 0 0 0 0 0 4 4 2 1 3 12 39 70 77 76 80 87 93 102 130 167 168 142 126 122 118 109 104 107 112 114 114 115 118 124 130 134 135 136 137 136 134 140 162 182 176 162 157 139 144 156 167 167 155 143 137 137 135 135 142 152 158 152 137 130 129 133 135 133 130 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 2 1 3 5 5 5 5 5 5 4 2 1 0 0 0 0 0 1 2 3 3 3 3 3 3 4 8 14 18 19 16 13 12 12 11 9 8 7 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 13 13 20 28 27 23 30 37 35 28 24 21 17 15 11 8 9 6 5 6 6 6 4 1 0 6 18 22 21 18 10 7 6 1 0 0 0 0 0 3 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 4 5 5 0 0 0 0 5 2 0 6 13 3 25 26 10 10 22 24 22 48 79 92 95 95 97 109 143 178 179 157 144 140 131 120 112 111 114 116 117 119 125 128 130 132 133 135 135 135 133 136 150 169 179 183 180 170 160 167 173 165 146 123 108 113 126 132 131 133 147 151 137 128 125 125 126 124 121 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 10 6 3 4 4 3 2 3 4 4 4 4 3 2 2 1 0 0 0 1 3 4 3 2 2 2 2 3 7 13 19 22 19 16 14 13 11 9 7 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 14 20 28 31 30 30 29 26 24 22 20 18 17 16 16 15 10 7 7 7 7 7 3 0 0 6 12 14 12 3 1 1 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 1 2 0 0 4 7 26 28 30 36 47 60 70 56 35 32 49 60 57 62 88 106 108 104 105 118 149 178 179 163 153 153 152 143 132 123 120 120 120 117 120 124 128 131 132 133 134 135 135 135 141 152 165 176 180 175 169 174 172 162 145 124 105 98 103 105 101 106 128 138 128 116 113 113 113 115 116 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 15 15 12 8 7 6 4 2 0 0 1 2 3 3 3 3 3 2 1 0 0 2 3 4 2 1 0 1 1 2 5 12 18 22 21 18 16 14 11 9 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 19 15 14 18 23 25 28 27 25 23 19 12 10 13 12 12 14 12 10 8 8 8 8 9 6 1 0 1 2 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 4 25 58 76 78 77 82 92 92 74 60 67 82 89 93 105 117 124 120 114 114 123 143 161 161 149 142 144 148 151 144 132 127 128 126 117 115 115 119 124 127 130 134 137 138 137 139 142 148 157 163 162 154 147 147 144 135 125 108 96 98 97 93 96 110 118 118 111 106 108 113 116 118 118 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 10 14 14 13 11 9 6 4 2 0 0 0 1 2 3 4 5 5 4 2 0 0 1 2 1 0 0 0 0 0 1 3 8 13 18 20 20 19 16 14 12 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 21 15 15 19 22 20 22 24 23 20 13 4 1 4 3 4 5 4 6 6 8 9 9 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 10 4 1 0 18 72 107 110 102 102 114 111 91 86 98 108 111 116 124 134 139 130 120 118 119 121 129 129 124 129 140 142 146 141 130 127 129 125 118 115 113 114 119 124 128 132 134 136 137 138 141 144 146 150 154 150 140 135 132 128 125 115 106 107 109 110 110 111 114 121 119 113 110 112 117 120 122 124 nan nan nan nan nan nan 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 9 12 14 15 13 8 6 3 0 0 0 0 0 1 3 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 1 2 6 12 17 21 22 21 19 17 14 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 21 24 22 20 23 24 22 22 22 21 16 9 3 0 0 0 0 0 0 2 2 3 6 8 10 9 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 2 9 21 30 23 8 2 30 87 123 124 123 129 132 119 103 109 119 122 123 128 139 146 147 135 122 119 114 106 105 106 109 121 135 142 141 134 123 120 120 117 115 116 117 117 120 126 132 131 128 129 132 133 138 144 144 145 149 145 138 136 134 133 132 128 124 122 122 124 122 117 118 127 131 125 117 113 112 115 121 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 7 8 9 12 15 15 11 7 4 1 0 0 0 0 0 1 4 7 8 7 4 3 3 2 2 1 0 0 0 0 0 0 0 3 8 13 18 23 24 21 18 16 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 16 22 25 26 27 26 24 24 22 20 16 8 5 1 0 0 0 0 0 0 0 0 1 4 7 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 27 47 56 38 26 56 106 127 123 127 142 150 143 129 133 129 126 128 130 138 145 150 146 135 127 121 113 110 109 111 118 125 131 131 125 119 116 112 105 103 109 115 119 121 125 132 129 125 124 125 126 132 140 144 145 145 140 136 135 136 137 136 135 135 133 130 131 130 124 121 128 135 133 127 118 110 108 116 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 12 13 12 10 10 12 14 12 9 5 3 1 0 0 0 0 0 2 4 6 6 5 4 4 6 5 3 1 0 0 0 0 0 0 2 5 8 13 19 22 21 18 16 14 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 5 5 8 12 16 22 22 23 24 24 21 18 16 10 8 5 2 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 27 55 77 72 65 85 125 128 117 115 130 148 159 155 148 131 123 126 127 131 140 151 158 154 143 137 135 131 127 122 118 115 113 114 116 117 116 112 105 99 101 109 117 122 123 127 130 127 123 120 121 126 135 142 146 145 140 136 136 137 139 140 140 141 138 134 134 137 134 128 126 131 133 131 126 116 110 114 119 nan nan nan nan nan 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 15 16 15 12 11 12 12 10 8 6 5 3 2 0 0 0 0 0 0 1 2 2 2 4 5 4 3 1 0 0 0 0 0 1 3 5 8 13 17 19 19 16 14 13 11 6 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 5 5 4 4 6 6 10 10 13 13 14 13 10 8 6 7 8 6 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 1 1 4 5 2 0 0 0 0 0 0 1 7 24 51 80 78 64 76 118 135 123 116 129 145 154 158 146 127 119 121 122 127 135 146 157 160 154 147 143 140 138 131 120 110 106 109 111 112 113 114 113 108 104 106 112 118 122 125 128 126 121 116 117 121 129 137 144 147 144 140 138 139 142 144 146 146 140 135 137 146 150 138 127 123 123 127 130 130 125 123 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 10 14 16 16 14 12 11 11 11 13 13 10 7 4 2 0 0 0 0 0 0 0 0 1 2 2 3 2 1 0 0 0 0 0 1 2 4 7 11 15 17 15 14 13 12 10 6 2 0 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 6 6 5 4 4 4 4 4 4 5 5 5 5 4 4 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 2 5 5 10 13 7 1 0 0 0 0 0 0 5 18 38 75 66 32 33 79 130 136 132 139 144 141 142 131 116 112 114 117 124 134 145 153 155 146 138 136 136 135 132 125 114 108 110 108 107 108 111 118 119 116 111 110 113 117 122 124 122 117 113 112 114 120 129 139 147 150 146 143 144 145 144 145 145 136 132 137 148 156 149 133 119 114 119 129 137 137 134 128 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 13 12 11 12 13 14 14 13 12 12 13 17 17 15 14 12 9 4 2 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 1 4 8 11 12 12 12 13 12 9 4 2 2 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 7 8 7 7 7 6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 6 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 1 2 5 5 5 10 17 15 7 1 0 0 0 0 0 2 12 27 61 59 32 22 51 104 127 137 144 136 123 120 116 110 111 111 111 118 131 144 152 155 143 124 120 120 124 127 127 122 117 116 112 109 108 112 119 124 124 121 118 116 115 116 119 117 112 108 107 112 115 121 130 142 150 152 151 152 147 141 137 133 128 126 132 145 155 154 140 122 114 117 126 136 141 137 129 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 16 14 12 11 10 10 10 11 12 12 14 16 15 14 15 18 17 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 11 11 11 9 6 3 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 9 7 6 6 6 5 4 4 3 2 2 2 2 2 2 2 2 2 2 1 3 4 5 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 1 3 3 0 1 4 14 21 17 4 0 0 0 0 0 1 5 18 42 57 54 48 62 90 109 122 137 139 128 121 120 122 124 122 116 115 121 133 146 154 148 138 125 115 113 116 120 123 122 121 119 117 115 115 120 125 130 130 128 126 120 113 114 115 113 111 109 111 113 115 122 132 141 148 151 150 144 135 129 124 118 116 122 136 152 157 146 128 117 117 123 136 147 144 136 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 15 13 11 9 8 8 8 9 11 12 13 14 14 14 16 20 20 15 11 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 7 7 6 5 4 2 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 9 9 9 8 6 6 6 6 6 5 4 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 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 1 3 2 1 2 3 12 27 25 8 1 0 0 0 0 0 1 10 25 41 59 71 82 99 110 112 122 137 138 132 133 141 145 143 138 132 122 121 131 142 148 144 143 130 119 116 116 118 118 117 117 118 118 117 120 124 126 131 133 133 127 117 113 115 120 124 122 115 108 109 117 123 130 137 141 141 135 128 121 114 108 105 110 124 144 157 154 135 116 109 115 134 153 155 148 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 13 12 9 8 7 7 7 8 9 9 9 10 13 16 19 23 23 18 14 13 13 10 8 5 3 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 4 4 4 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 8 8 8 8 7 7 6 6 6 7 7 6 5 4 4 4 3 3 2 2 3 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 1 7 13 12 10 10 11 12 14 22 16 6 1 1 2 1 0 0 0 4 14 26 37 53 73 94 113 122 124 127 131 132 133 142 145 147 154 156 142 129 124 125 130 139 144 140 134 129 126 123 117 112 110 111 113 114 117 120 122 126 131 131 125 117 113 118 128 137 140 129 107 100 109 116 120 125 130 130 127 121 115 109 102 98 100 112 131 154 162 145 121 105 108 129 152 163 161 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 11 10 9 7 6 5 5 6 6 6 5 5 8 12 18 23 25 22 16 13 12 12 12 12 10 7 5 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 6 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 17 16 15 15 23 27 18 13 7 2 4 9 9 5 1 0 0 1 6 14 23 32 46 66 92 115 129 132 128 121 119 122 121 123 133 149 152 147 136 122 114 112 118 126 130 134 138 138 128 117 112 107 107 108 112 114 118 122 127 124 117 111 111 120 132 142 146 140 118 99 98 108 114 117 120 121 119 115 110 106 99 94 95 101 117 141 158 152 132 113 107 121 147 168 171 158 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 9 8 8 7 6 5 4 4 5 5 4 3 3 6 12 19 24 23 17 13 11 10 11 12 12 11 9 6 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 9 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 6 10 13 17 28 41 39 19 7 2 4 12 19 19 13 7 3 0 0 1 3 11 17 24 37 59 86 116 132 130 114 103 100 98 96 96 107 128 142 144 134 117 103 96 100 108 116 128 140 144 130 124 112 106 102 105 108 113 119 124 122 114 106 108 116 127 138 144 143 128 102 91 98 108 114 116 117 115 108 102 99 95 93 93 97 107 127 150 153 138 122 108 114 141 170 180 169 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 9 8 7 7 6 6 5 5 5 5 4 2 1 1 4 11 19 22 17 10 6 5 6 8 10 11 10 9 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 10 10 9 9 8 7 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 10 7 1 3 3 1 2 2 1 2 1 3 7 10 18 32 44 38 17 3 2 9 18 22 22 20 16 11 4 1 0 0 3 6 10 18 31 52 83 113 124 113 96 86 82 81 80 80 89 106 124 132 128 114 98 88 88 93 101 113 128 142 137 126 114 103 99 102 109 116 122 124 119 110 108 112 118 129 142 145 130 106 94 99 108 111 113 115 114 106 95 90 89 89 90 92 97 111 135 148 138 124 111 112 135 168 185 182 169 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 10 9 8 7 7 7 7 7 6 6 5 4 2 1 1 4 12 19 19 13 6 3 2 3 5 8 9 10 10 9 9 7 5 2 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 3 3 4 4 3 4 2 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 6 9 10 9 10 10 10 9 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 6 5 6 6 6 7 7 7 8 8 7 5 4 3 2 2 2 1 1 1 1 2 3 2 2 2 2 4 8 12 18 19 19 18 15 13 10 7 6 6 6 7 8 7 8 11 14 28 42 38 16 1 4 14 20 20 20 20 19 17 12 6 0 0 0 1 3 6 14 25 43 75 107 116 105 86 73 70 70 66 62 66 80 103 120 125 110 90 80 81 81 82 92 109 124 129 124 114 102 99 106 114 121 125 125 122 120 118 118 123 135 141 128 112 107 112 117 113 109 110 113 111 99 86 81 80 81 85 90 99 116 133 135 126 116 113 127 153 167 158 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 14 13 12 10 9 8 8 9 9 8 7 7 6 4 2 1 2 7 15 20 19 13 6 2 1 1 4 7 10 11 10 10 10 8 5 2 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 3 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 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 2 4 7 8 8 9 9 9 10 10 9 8 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 7 6 6 5 6 6 7 7 7 8 9 8 6 5 4 2 2 2 2 3 3 5 8 11 14 13 15 18 18 19 20 23 21 22 25 24 20 16 13 11 11 10 12 12 9 6 7 9 19 35 39 24 8 8 16 19 16 16 17 16 15 15 11 1 0 0 0 0 1 4 9 17 34 67 100 113 101 78 66 61 57 54 48 47 60 85 115 122 100 82 77 73 69 69 76 92 109 119 121 115 108 107 113 119 124 130 135 138 138 127 122 126 126 118 114 117 124 124 114 104 102 108 113 108 93 77 69 68 75 86 96 105 116 123 123 119 116 122 137 143 128 110 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 21 18 16 15 12 10 9 8 9 9 9 10 9 7 6 4 3 3 4 10 16 22 19 13 8 4 3 4 7 10 12 12 11 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 8 8 8 9 9 9 9 8 7 6 6 6 4 4 5 4 4 4 3 3 4 4 5 4 4 5 5 6 7 7 6 5 5 6 6 7 7 8 9 8 6 5 4 4 2 2 1 1 3 8 14 17 22 25 27 28 27 26 26 23 20 23 25 25 23 19 16 16 15 15 14 11 5 1 1 1 6 18 33 36 25 20 20 19 17 15 14 12 10 11 10 4 1 0 0 0 0 1 2 5 11 29 63 93 104 95 82 67 57 52 45 38 35 42 69 103 109 94 80 71 65 61 60 65 78 94 111 119 115 111 112 115 124 137 150 160 161 147 130 119 111 108 111 119 126 122 110 99 95 100 110 115 104 82 64 58 65 82 99 104 110 117 120 118 117 120 129 132 120 96 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 23 18 16 14 11 9 7 6 5 6 7 9 9 8 6 5 5 4 4 6 10 15 18 15 12 10 10 10 12 14 16 16 12 8 6 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 5 5 4 4 4 3 3 2 3 4 4 4 4 5 5 5 5 6 6 5 4 5 5 6 7 8 8 7 6 5 5 5 4 2 2 1 2 7 15 20 25 29 30 28 28 27 26 24 23 23 23 23 22 19 17 16 18 22 21 16 7 0 0 0 0 4 16 31 35 34 33 23 20 19 17 12 8 7 8 6 2 0 0 0 0 0 0 0 2 9 27 50 74 92 97 84 72 64 51 40 30 26 34 64 96 101 86 71 62 56 52 50 53 64 82 100 108 110 109 110 120 141 158 169 175 166 146 123 105 100 106 115 119 112 101 94 91 96 106 116 113 95 76 65 66 80 95 105 112 118 122 120 117 119 126 129 123 111 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 12 10 9 8 6 4 1 1 1 3 7 9 8 7 6 5 5 5 6 7 10 13 16 12 11 14 18 21 24 24 21 13 6 4 4 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 9 10 9 8 8 8 8 8 8 8 7 7 6 6 6 6 5 4 3 3 4 6 5 3 3 3 4 4 5 5 4 5 6 5 4 3 3 4 4 6 6 7 6 6 6 5 5 5 4 3 2 2 5 12 20 27 31 29 26 24 24 25 26 26 25 23 22 21 20 18 17 20 25 29 28 20 8 1 0 0 0 2 9 20 26 25 22 21 20 20 16 12 9 9 9 4 0 0 0 0 0 0 0 0 1 5 17 33 59 78 90 86 80 64 47 34 24 20 30 59 81 78 65 55 47 42 38 37 40 50 66 82 93 99 101 108 128 150 164 173 174 160 134 106 97 102 110 111 103 96 92 92 97 102 110 114 109 98 85 79 86 100 111 117 123 124 121 117 118 124 127 126 127 121 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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14 15 16 18 20 23 25 27 24 17 10 5 3 0 0 3 9 19 29 37 47 62 70 56 35 22 15 11 6 3 4 5 6 7 8 8 7 8 11 14 16 15 18 24 38 55 80 109 124 122 114 97 85 106 152 175 165 142 125 114 106 101 99 103 117 141 158 158 142 124 113 107 105 104 110 116 114 100 83 67 55 48 46 46 41 35 34 36 38 39 41 47 55 61 66 69 52 39 31 23 15 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 5 6 6 6 5 5 5 6 10 14 17 18 16 12 9 9 9 9 8 8 12 13 16 18 19 21 24 19 12 15 17 18 16 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 3 2 2 3 4 6 8 9 11 13 16 18 21 22 22 21 21 21 21 20 18 16 16 15 13 12 13 17 22 27 32 34 32 24 10 1 2 11 27 41 40 34 32 37 44 48 43 26 9 5 14 24 29 24 11 2 0 0 0 0 0 0 0 0 2 8 18 42 76 98 95 97 107 nan nan nan nan nan nan nan nan nan nan
16 16 17 18 20 22 25 26 27 24 17 10 6 4 3 6 14 27 38 48 54 55 47 34 26 21 17 14 9 6 6 7 8 11 14 14 10 10 11 12 10 7 6 10 20 34 53 85 107 111 112 109 102 111 145 176 173 151 130 119 111 104 103 111 124 149 162 159 148 138 132 129 126 125 126 123 109 85 65 52 44 42 43 42 36 32 35 39 43 47 53 59 65 74 81 78 51 32 23 17 10 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 6 6 6 6 6 6 6 12 16 19 19 16 12 9 8 8 8 8 9 12 15 17 18 16 14 17 14 12 17 19 20 17 11 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 1 0 0 0 0 0 0 0 2 3 4 7 11 13 15 16 17 18 18 18 18 17 16 15 15 14 13 14 17 22 27 32 37 39 35 23 11 5 8 22 32 36 38 35 33 38 49 49 34 14 8 14 22 26 22 12 3 0 0 0 0 0 0 0 0 0 1 4 11 41 61 67 70 71 71 nan nan nan nan nan nan nan nan nan
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26 25 23 21 22 24 25 26 27 28 24 21 20 18 18 20 28 37 47 55 59 51 37 26 21 17 17 21 26 25 22 22 23 27 32 34 33 31 30 26 17 7 3 2 8 17 22 32 64 94 111 117 112 109 122 144 157 150 131 125 124 120 116 114 115 120 116 110 134 141 149 151 140 119 95 75 59 45 39 37 35 40 43 37 28 25 28 32 48 65 71 70 76 82 80 66 32 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 5 6 7 7 6 6 7 6 8 14 18 19 18 16 12 8 6 6 7 9 10 12 15 18 16 10 4 5 8 13 15 17 17 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 11 10 8 4 4 6 6 6 6 6 7 8 9 10 13 17 21 26 31 38 43 39 24 14 13 18 29 42 52 52 50 52 55 52 42 28 20 22 20 14 8 5 5 6 6 4 0 0 0 0 0 0 2 4 7 8 9 10 16 26 nan nan nan nan nan nan nan nan nan
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