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