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