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 8 8 7 6 6 5 4 4 5 5 5 4 4 4 3 4 5 5 6 7 6 6 5 5 4 4 4 5 5 5 6 6 4 4 3 3 3 3 3 2 2 1 1 1 2 2 1 1 1 1 2 3 2 2 2 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 6 6 5 5 5 6 7 8 8 7 6 6 5 4 4 7 9 11 11 10 7 5 5 6 8 7 7 6 6 5 4 1 -3 -2 3 6 4 7 10 10 -3 -3 1 1 2 5 3 8 11 7 4 5 4 5 8 7 2 6 11 5 -0 6 5 -2 -1 7 13 7 -0 2 11 13 7 -2 -3 1 3 5 4 1 3 1 -4 -8 -8 -5 1 8 12 6 -1 0 3 3 2 1 2 6 8 5 5 17 37 35 16 7 6 4 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 6 7 9 11 13 15 16 14 11 9 9 8 8 7 6 5 4 4 4 4 4 3 2 2 4 6 7 7 7 7 5 5 4 4 3 3 3 3 4 5 5 5 5 6 5 5 5 6 8 8 3 0 3 3 4 3 3 2 3 3 4 5 4 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 6 8 8 8 6 5 4 4 4 5 5 5 4 3 3 3 4 4 3 3 3 4 4 4 5 5 5 6 5 5 5 5 5 5 6 5 5 4 4 3 4 4 4 7 16 22 18 13 11 11 11 7 4 1 -3 -9 -2 3 2 6 7 3 3 5 4 2 -2 -7 -6 -5 -5 -4 -0 4 6 7 8 9 9 11 13 14 16 16 15 12 9 7 6 7 8 7 5 5 3 1 4 11 14 11 8 7 6 6 9 10 8 6 5 5 6 7 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 7 7 6 7 6 5 4 4 5 6 6 5 4 4 4 4 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 4 4 3 3 3 3 3 2 2 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3 3 2 3 3 2 2 3 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 6 7 8 8 7 6 6 6 5 4 5 8 10 12 10 7 6 5 6 7 7 6 6 6 5 4 0 -4 -3 2 5 5 10 21 14 -2 2 2 5 8 7 4 6 7 6 9 8 6 10 19 13 7 7 6 2 2 11 8 1 0 8 14 10 3 -2 1 11 12 4 -1 2 11 12 6 3 5 4 1 -1 -3 -5 1 10 13 5 -1 -0 1 3 6 7 8 10 11 10 14 28 36 24 9 6 4 2 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4 6 7 8 10 11 12 13 12 11 10 10 10 9 7 6 5 4 3 4 4 3 3 2 2 3 4 6 8 7 6 5 4 4 5 4 4 2 3 4 5 5 5 5 5 5 5 5 5 6 5 -1 -2 3 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 3 3 2 3 4 4 4 4 4 5 5 7 8 9 8 7 5 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 9 16 20 19 16 12 11 11 10 9 5 3 2 3 4 7 6 5 7 8 4 2 3 2 -2 -2 -3 -3 -1 3 5 6 7 7 7 7 8 10 12 13 11 10 8 6 6 8 10 11 10 7 4 4 8 13 11 8 6 4 4 6 9 8 7 5 5 5 5 5 6 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 6 6 6 6 6 5 4 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 1 1 1 2 2 3 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 6 7 8 8 7 6 6 6 5 5 5 7 10 11 10 8 6 5 6 6 6 7 6 6 5 3 -2 -6 -1 2 -1 3 10 23 13 0 4 1 6 12 11 7 5 3 4 7 8 4 10 16 12 8 7 5 3 7 12 8 6 5 6 9 9 8 7 4 4 7 6 4 9 14 9 4 5 8 11 7 4 1 -2 1 8 9 5 2 1 2 5 7 9 9 9 10 16 28 36 28 12 5 5 4 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 6 7 8 9 9 10 11 11 11 11 10 10 9 8 7 5 4 3 3 3 2 2 2 2 3 3 2 2 5 6 5 4 5 5 6 5 4 5 6 5 5 5 4 5 5 5 5 5 5 5 -4 -8 -0 4 2 0 2 4 4 4 5 5 5 5 5 4 5 4 5 5 4 3 2 2 3 3 4 4 4 5 5 5 7 9 10 9 7 6 5 5 5 5 5 5 4 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 5 5 5 4 4 4 4 7 13 16 16 12 7 6 5 4 4 5 5 5 6 5 4 5 7 8 6 3 4 6 4 2 2 2 3 4 5 6 6 6 6 7 7 7 8 8 7 7 6 6 6 8 11 15 17 14 10 8 9 9 7 6 5 4 4 5 7 7 6 5 5 5 5 5 6 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 5 5 5 6 5 5 4 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 5 5 6 5 5 5 4 4 5 4 4 5 6 6 7 8 8 7 6 6 6 6 5 5 6 9 11 11 9 6 5 5 6 6 7 7 6 5 2 -5 -9 -0 4 -2 -1 3 12 10 4 3 6 4 10 13 7 1 3 4 6 5 1 3 7 6 5 8 5 3 8 8 4 7 9 5 2 4 7 12 14 11 8 5 5 12 15 7 -2 1 11 15 11 3 -3 -3 -0 5 7 7 4 3 4 6 8 8 8 10 19 31 38 32 17 6 5 4 3 3 2 2 2 2 3 4 3 4 4 4 4 4 4 4 5 5 6 7 9 9 9 8 9 10 11 11 11 10 9 8 5 4 3 3 2 2 2 3 3 4 3 1 1 5 6 5 5 5 5 5 5 6 7 6 6 5 5 4 5 5 5 5 5 4 6 2 -6 -5 1 3 0 1 4 5 4 5 6 6 5 5 4 5 5 5 5 4 4 3 2 2 3 4 4 4 5 5 6 7 9 10 10 8 6 5 5 5 5 5 5 3 2 2 2 3 4 5 5 5 5 5 6 6 5 5 5 4 5 6 5 5 5 5 5 5 5 5 5 4 3 3 3 2 3 4 8 12 12 7 4 3 2 1 2 4 7 7 5 4 4 6 7 5 4 4 4 3 5 6 5 4 4 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 7 11 16 22 21 16 11 8 7 5 4 4 4 4 4 5 6 5 5 5 5 5 5 5 6 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 4 3 4 4 5 5 4 4 4 5 6 6 5 5 6 5 5 5 5 6 6 6 5 4 4 5 5 5 6 6 6 5 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 4 4 4 5 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 6 6 7 6 5 4 6 8 10 11 9 7 5 5 6 7 7 6 6 5 1 -5 -9 -3 4 4 3 3 5 3 8 9 9 3 6 13 6 -2 2 7 8 3 -0 -1 2 3 5 6 1 2 6 4 -0 5 7 5 2 3 5 8 12 17 15 9 8 7 8 11 4 3 8 10 10 5 2 4 3 4 6 7 6 5 5 5 6 6 8 19 34 40 33 20 9 5 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 8 9 11 11 11 10 9 8 6 4 3 3 2 2 3 4 4 5 4 4 6 6 6 6 5 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 -0 -6 -2 6 7 3 4 5 5 6 7 7 5 4 4 5 6 5 5 4 4 3 3 3 3 4 4 4 5 5 6 7 9 11 10 8 6 5 5 5 5 5 5 4 2 1 1 2 4 5 5 5 6 6 6 6 6 5 4 4 4 4 5 5 5 5 4 4 3 4 4 3 2 1 -0 -1 -2 -1 1 5 7 7 6 5 4 3 3 4 6 7 6 4 5 7 7 5 3 3 3 3 6 8 5 5 5 5 5 6 6 7 8 7 7 6 6 6 6 6 6 6 7 10 16 24 26 21 13 8 5 4 3 3 3 3 4 5 6 5 5 5 6 6 5 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 7 6 5 4 3 4 5 6 6 6 5 5 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 5 6 6 5 5 5 5 5 6 6 6 6 7 8 8 9 9 8 6 6 7 7 5 5 5 7 10 11 9 7 6 6 6 7 7 6 6 5 3 -3 -9 -6 2 6 7 8 3 -0 10 14 9 6 3 7 5 1 3 8 8 3 2 -1 -4 -2 4 4 1 3 7 7 4 3 3 4 3 2 4 7 8 10 11 9 8 3 1 10 15 11 6 6 8 10 11 11 7 5 6 6 6 6 4 4 5 5 9 24 35 30 18 9 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 7 7 8 10 11 11 10 10 9 7 5 3 2 3 3 4 5 5 5 4 5 7 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 5 4 4 5 4 -1 -5 1 7 6 4 4 6 8 9 7 5 4 4 5 5 5 4 4 3 4 3 4 3 3 4 4 4 5 6 6 8 10 10 8 6 5 5 5 6 6 6 5 3 1 -0 1 3 4 5 5 6 7 7 7 7 5 4 4 4 4 4 4 4 3 3 3 3 3 4 3 2 0 -2 -3 -4 -4 -1 2 3 5 7 6 6 6 6 5 6 7 7 6 5 7 10 8 4 3 3 6 8 6 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 7 7 7 9 14 21 25 21 14 8 4 4 4 3 3 3 3 4 5 5 5 6 6 5 5 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 3 3 4 5 4 3 2 2 1 1 2 2 2 3 3 4 4 4 5 5 5 5 5 5 6 7 6 5 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 5 5 5 5 4 4 4 5 5 6 6 6 6 5 6 6 6 7 7 7 8 9 9 9 9 8 6 6 6 6 6 5 5 6 9 11 10 8 6 6 6 7 7 6 5 5 4 0 -5 -5 1 4 5 6 4 1 7 9 5 5 5 4 6 6 4 7 3 -1 3 5 -0 -1 3 3 0 5 10 8 8 4 3 3 0 -2 1 8 8 5 4 4 4 5 4 3 8 8 8 5 1 8 13 12 8 5 5 3 3 6 5 3 4 4 11 24 25 16 8 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 8 8 9 10 10 10 10 8 7 5 4 3 3 4 5 5 5 4 3 4 7 6 4 5 5 5 5 5 6 5 5 6 6 6 6 5 5 6 7 7 6 5 4 4 5 3 -3 -6 0 5 5 4 7 9 9 7 5 5 5 6 5 4 3 3 4 4 4 4 4 3 3 4 5 6 6 6 7 8 8 8 6 5 4 5 6 6 7 6 4 2 1 -0 0 2 4 5 6 6 7 8 8 6 5 4 3 4 4 4 3 2 2 2 2 3 5 5 4 2 1 1 1 0 1 3 4 4 5 6 6 7 8 6 6 7 7 6 5 7 10 10 7 6 6 8 8 5 4 5 5 5 5 4 3 3 4 5 6 6 5 5 5 6 7 7 7 8 11 15 19 19 14 9 7 5 3 2 2 3 3 4 4 5 4 5 6 5 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 2 2 4 5 5 4 3 2 2 1 1 1 1 2 2 3 4 4 5 4 5 5 4 4 5 6 8 7 5 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 8 7 6 6 6 6 6 5 6 9 11 11 8 7 6 7 7 7 6 6 5 4 3 0 -2 -1 3 4 4 3 4 8 8 2 3 5 2 7 10 5 5 -1 -5 1 5 5 3 4 2 1 5 8 7 9 6 2 1 0 -3 1 9 10 7 2 -0 -1 7 7 3 1 3 7 5 -3 -0 4 7 7 7 8 5 4 5 4 3 4 8 18 24 18 8 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 8 9 9 8 8 8 8 7 5 4 4 4 5 5 5 5 4 4 3 7 9 7 5 5 5 5 5 5 4 5 6 7 7 7 5 5 5 5 6 6 5 4 4 5 5 2 -2 -3 3 4 5 8 10 9 6 4 5 7 7 6 4 3 3 4 4 5 5 4 4 3 4 5 6 7 7 7 6 7 7 6 5 4 5 5 6 7 7 6 5 2 0 -0 1 3 4 5 6 7 9 9 7 6 4 4 4 4 3 3 1 0 1 2 3 5 7 6 4 5 4 5 5 3 4 4 3 3 5 6 5 7 7 6 8 8 6 4 6 9 9 8 8 7 7 7 5 4 4 4 4 4 4 3 0 1 2 4 5 5 5 5 5 7 7 7 7 7 10 13 14 11 10 8 5 3 3 3 3 4 4 4 4 4 4 5 5 5 4 3 3 3 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 1 1 1 2 3 3 3 4 5 4 3 3 1 1 0 0 1 2 3 3 4 4 4 4 4 4 4 5 8 9 7 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 10 12 12 10 10 9 8 6 6 6 6 6 6 6 8 11 11 9 7 7 7 7 6 6 5 4 3 3 2 1 0 3 5 5 5 7 10 9 8 9 7 2 4 6 5 6 1 -1 1 4 7 5 7 7 6 3 3 5 7 4 1 3 3 -1 2 7 9 8 4 -4 -4 3 5 5 7 7 8 6 3 -1 1 0 3 7 9 7 5 5 4 5 6 12 23 23 12 6 5 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 8 8 8 7 7 7 7 7 6 5 5 5 5 5 4 4 3 3 3 7 14 14 10 8 6 5 6 5 5 5 5 5 6 6 5 4 4 4 4 4 4 3 4 5 5 5 2 -1 1 4 5 7 9 7 4 3 5 7 7 6 5 4 4 4 5 5 5 5 4 3 4 4 5 7 7 7 6 6 6 6 6 5 5 5 5 6 7 7 7 6 3 1 -0 1 4 5 6 7 8 8 8 7 6 6 5 5 4 2 1 -0 1 5 6 5 6 6 6 6 4 3 3 4 3 3 2 1 2 4 5 5 6 6 8 9 7 4 6 8 8 8 7 7 7 8 7 5 3 2 2 3 5 4 2 1 0 2 4 4 5 5 6 6 7 7 6 6 7 8 9 8 8 6 5 4 4 3 4 4 3 2 3 3 2 4 6 6 5 4 3 3 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 1 1 1 1 2 3 2 2 3 4 5 5 5 3 2 1 1 0 1 1 2 3 3 3 3 4 4 3 4 6 8 8 7 5 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 2 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 3 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 7 8 10 11 12 12 11 10 10 9 7 6 6 6 6 5 6 8 10 11 10 8 7 7 7 7 6 5 3 3 3 3 2 2 3 5 7 7 6 5 5 10 11 8 5 4 2 3 7 7 6 5 8 10 9 10 11 8 4 5 6 2 -0 0 5 5 2 5 6 7 6 4 -2 -0 3 8 9 6 6 8 3 5 4 4 4 4 9 10 7 4 3 4 6 8 15 23 19 9 5 5 4 3 4 4 5 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 7 7 7 7 7 7 6 6 5 5 4 4 3 2 1 2 5 12 17 17 15 12 10 9 8 7 6 5 5 5 5 4 3 2 1 2 3 4 4 5 5 5 4 4 3 3 4 5 5 5 4 2 3 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 6 7 7 7 6 6 6 6 5 5 5 5 5 6 7 8 8 8 5 2 0 2 4 6 7 8 8 8 8 8 8 6 5 4 2 1 -0 0 6 10 7 5 6 6 6 5 4 3 3 3 3 3 2 2 4 6 6 7 7 8 10 9 7 8 9 9 8 7 6 8 10 9 5 3 2 1 3 4 6 6 5 4 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 4 3 3 3 3 3 4 3 3 3 3 2 2 5 7 7 6 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 1 2 2 3 2 2 2 3 3 5 6 6 4 3 2 2 1 1 1 2 2 2 2 3 3 3 4 5 7 8 8 8 6 5 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 4 4 3 3 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 7 8 10 11 12 12 11 11 11 10 9 7 6 7 6 6 6 6 7 10 12 11 9 7 7 7 7 6 5 3 3 2 2 2 2 1 4 8 7 2 1 2 5 7 6 4 2 1 2 7 12 9 7 8 7 9 10 9 7 5 7 7 1 -1 2 6 3 5 7 5 4 4 4 4 5 5 9 6 4 6 5 -1 3 5 7 11 10 11 10 6 3 4 4 4 7 16 22 14 6 5 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 6 6 6 7 6 7 7 7 7 6 6 5 5 4 3 2 1 1 1 2 4 10 15 16 16 16 15 13 12 11 12 9 6 5 3 2 1 0 1 3 6 9 9 8 7 7 7 7 6 5 4 3 1 -0 0 2 3 4 4 5 6 6 6 6 6 6 6 6 5 4 4 3 4 4 6 6 6 4 4 5 6 5 5 5 5 5 5 6 8 10 11 10 6 2 1 2 5 6 7 7 7 7 8 7 6 5 3 2 0 -1 -1 4 10 8 5 6 6 5 5 6 5 5 6 6 5 5 6 7 9 9 8 8 7 8 9 9 10 10 10 8 6 6 8 11 10 7 4 4 3 4 4 6 7 6 7 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 4 4 4 2 2 3 6 7 6 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 5 4 3 3 3 2 2 1 1 2 2 3 5 6 6 5 5 4 3 3 2 2 1 1 1 1 1 2 3 4 5 6 8 9 9 7 5 3 3 3 3 4 3 2 2 1 2 2 3 3 3 3 3 3 2 3 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 7 6 6 7 9 11 12 11 10 10 12 11 10 8 7 7 7 7 6 6 6 7 10 12 12 9 7 7 7 7 6 4 3 3 3 3 3 3 3 7 9 8 1 -0 3 5 5 7 3 1 1 3 7 11 10 6 3 -0 6 10 10 6 1 4 7 8 6 5 5 3 5 7 3 -0 2 6 7 6 7 6 1 4 4 5 5 3 2 5 10 8 8 9 6 3 5 6 6 10 19 19 10 5 5 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 5 4 4 4 3 2 1 1 1 1 1 3 6 8 10 13 14 14 15 16 17 15 13 10 6 4 4 5 6 8 13 17 18 16 13 13 12 10 7 6 5 3 0 -1 -1 0 1 2 3 3 5 5 6 6 6 6 6 6 6 6 4 3 3 4 4 5 6 3 -2 -2 2 5 5 4 4 5 5 5 8 10 12 13 12 7 2 1 2 5 6 6 5 5 4 4 4 1 -0 -0 -1 -1 -0 5 9 6 4 5 6 5 5 6 6 7 8 10 10 9 7 8 9 9 7 6 7 8 9 9 11 12 11 8 6 6 8 9 9 8 6 6 6 5 5 6 6 6 6 5 5 6 6 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 4 4 3 2 2 4 6 6 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 5 3 2 0 -1 -0 1 2 1 3 4 6 7 6 6 5 4 4 3 1 1 0 0 1 1 2 2 3 4 6 7 9 9 7 4 4 3 4 4 3 3 2 2 2 2 3 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 6 6 7 7 7 6 6 6 6 7 8 10 11 10 10 10 10 11 12 10 8 7 7 7 7 7 6 6 7 9 11 11 10 8 7 7 7 6 4 4 3 3 3 4 7 9 9 6 5 -2 2 9 9 -0 2 7 8 4 1 2 7 11 7 1 -1 4 10 12 8 2 2 3 7 12 10 5 5 3 6 3 -0 3 4 4 2 7 4 2 5 4 8 7 1 -4 -1 5 6 6 8 7 4 5 7 11 18 21 14 7 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 6 5 5 6 5 5 5 4 4 4 3 3 3 2 1 2 1 1 1 1 1 2 3 4 6 8 10 10 11 13 13 12 13 13 14 14 17 21 20 19 19 18 18 18 15 8 5 6 6 5 3 1 0 0 -0 1 2 2 3 4 4 5 5 5 6 6 7 6 5 4 3 3 3 4 7 5 -1 -8 -5 2 5 5 5 5 5 6 8 9 11 14 16 13 7 1 -0 2 4 5 3 1 0 -0 -0 -1 -2 -3 -2 -1 2 5 6 5 4 4 5 5 5 6 7 8 9 10 10 9 6 6 6 6 5 5 6 8 9 11 12 12 10 8 7 7 7 7 6 6 6 7 7 5 5 6 6 6 7 6 5 6 6 5 4 4 4 5 5 6 6 7 7 7 7 7 7 6 7 6 6 5 4 3 4 4 3 2 2 3 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 5 5 5 4 2 0 0 0 -0 0 1 1 3 5 6 7 7 6 6 6 5 3 2 1 1 1 1 1 1 2 2 3 5 7 7 8 6 5 4 4 4 4 3 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 6 7 7 6 6 6 6 6 7 8 9 10 9 9 9 10 11 11 10 9 8 7 8 8 7 7 7 7 9 11 12 11 7 5 7 8 5 5 4 3 4 4 5 9 12 7 3 1 -2 6 9 8 -4 -0 10 10 4 -0 -3 4 10 9 5 3 5 9 13 11 9 7 1 -2 4 9 9 8 5 8 7 4 6 5 5 3 4 5 8 5 8 10 4 -1 -4 2 4 5 7 9 8 5 4 6 13 21 19 10 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 2 2 2 3 3 3 4 6 8 10 14 16 17 18 18 17 14 12 10 11 14 14 11 6 5 5 7 7 5 3 3 1 0 1 2 3 3 3 2 3 5 4 2 4 6 6 6 5 4 3 3 5 8 10 8 1 -4 -0 5 6 6 6 6 6 6 8 9 11 14 15 12 6 2 -1 -0 2 3 0 -3 -3 -1 -1 -1 -1 -0 1 4 5 4 4 4 5 6 8 8 8 9 9 9 9 7 6 5 5 5 4 5 5 6 7 8 10 11 11 10 9 8 8 7 7 6 6 5 5 6 5 5 6 6 6 7 7 6 6 6 5 4 4 3 4 5 5 6 7 7 8 8 7 7 6 7 7 7 7 6 4 4 4 4 3 2 3 3 4 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 5 5 3 2 2 1 -0 -1 -0 1 2 3 4 5 5 7 7 7 6 5 4 3 2 2 2 2 1 2 2 2 3 4 5 6 7 6 5 4 4 4 3 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 5 6 6 6 6 7 6 6 7 8 9 9 10 10 10 9 10 10 10 10 9 9 8 8 8 8 7 7 8 9 11 12 11 7 4 6 7 6 5 4 4 4 4 6 8 9 4 4 3 5 9 5 1 2 1 11 10 6 3 -1 2 6 7 11 12 6 7 12 13 12 12 6 1 2 5 6 9 10 10 8 6 5 7 9 7 4 7 9 5 10 12 10 1 2 7 6 4 6 9 8 6 5 5 14 21 15 7 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 3 3 3 3 3 2 3 2 2 2 2 2 2 2 2 2 3 2 2 3 3 4 5 7 9 10 11 11 8 5 6 7 7 6 7 8 7 5 5 5 5 6 6 6 4 3 1 1 2 3 3 4 1 -1 3 3 -2 -4 0 5 7 7 5 5 5 5 9 14 13 9 8 5 5 6 6 5 5 5 4 4 5 6 7 10 11 9 4 -1 -5 -5 -3 -3 -4 -2 0 1 1 2 3 3 5 5 6 5 6 7 7 9 11 11 10 9 9 8 6 6 8 7 5 4 4 4 5 6 7 8 9 9 10 9 9 9 8 8 8 7 6 6 5 5 5 5 5 5 5 6 6 5 6 6 5 4 4 4 5 4 5 6 7 8 8 8 7 7 6 7 8 8 8 7 6 5 5 4 3 3 3 3 4 4 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 5 5 5 5 5 3 1 -0 -0 0 1 2 2 2 4 5 6 7 8 7 5 5 4 4 3 3 3 2 2 2 2 3 3 5 6 6 6 5 4 4 4 3 2 2 2 2 2 2 3 3 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 2 2 3 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 4 4 4 5 6 6 6 7 7 7 7 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 10 11 12 11 8 5 6 7 5 5 5 4 4 4 5 7 6 3 5 6 11 7 9 5 12 3 7 9 13 13 6 1 3 5 10 11 5 3 9 13 13 11 6 4 7 5 -0 5 11 10 8 6 4 9 10 5 5 8 7 7 11 12 12 5 7 7 5 5 6 7 7 7 7 9 17 19 10 4 3 3 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 5 4 3 3 3 3 4 6 6 3 3 6 2 -6 -8 -1 4 5 6 6 6 6 8 13 15 10 8 8 6 6 6 4 3 2 1 -0 -1 0 0 0 2 4 4 -0 -6 -8 -6 -4 -1 -0 1 2 2 3 4 4 4 4 6 6 7 7 7 9 10 7 7 7 7 7 6 7 9 8 6 5 4 4 4 5 5 6 7 8 9 9 9 9 8 8 9 9 8 7 5 5 5 4 5 5 5 5 5 5 6 6 5 4 3 4 5 5 5 5 6 7 7 8 8 7 7 7 8 9 9 8 8 8 7 6 4 3 3 3 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 5 5 6 7 7 6 3 2 1 1 1 0 0 1 2 3 5 6 7 8 6 6 5 5 4 4 4 3 3 3 3 3 3 4 5 5 6 5 5 4 4 4 3 3 2 2 2 2 2 2 3 3 3 2 2 2 1 2 2 2 3 3 3 3 3 2 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 7 7 7 8 9 11 11 12 12 11 9 9 9 8 8 9 8 8 8 8 9 9 8 8 9 10 12 12 11 9 7 6 6 5 4 5 5 4 4 5 6 5 4 5 9 8 5 10 11 15 7 4 8 15 17 14 3 2 3 1 2 1 1 7 12 13 9 1 -1 5 3 -2 0 3 7 10 6 4 9 9 4 5 7 4 6 10 11 9 7 8 5 2 3 5 6 7 6 6 12 20 17 7 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 6 9 9 7 10 10 3 -5 -8 -4 0 2 3 4 6 7 9 12 9 5 5 5 5 4 2 1 -0 -2 -4 -6 -5 -4 -6 -7 -3 1 1 -0 -1 1 4 3 0 1 3 3 2 2 3 4 4 5 7 8 7 7 10 11 5 2 4 5 6 6 7 8 7 5 5 5 4 3 4 4 5 5 6 7 8 8 8 8 9 9 9 8 7 6 6 5 5 4 5 5 5 5 5 5 5 5 4 3 3 4 5 4 4 5 5 7 8 8 8 7 7 7 8 8 8 8 9 9 7 5 3 3 3 4 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 6 6 5 6 7 7 7 7 6 5 3 1 -0 -0 -0 0 1 2 4 6 7 7 6 6 5 5 5 5 5 5 4 4 3 3 4 4 5 6 6 6 6 5 5 4 3 3 2 2 2 2 2 3 4 3 3 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 3 3 3 4 4 5 5 5 4 4 4 5 5 5 4 4 5 4 5 4 5 5 6 6 6 7 7 8 10 12 12 12 11 10 9 9 9 8 7 8 7 7 7 8 8 9 9 10 10 11 12 12 12 9 7 6 6 5 5 5 5 5 5 5 5 3 4 6 8 3 4 4 7 6 9 5 7 9 10 14 5 3 -0 -3 1 -1 -0 5 7 11 12 2 -1 3 2 0 -1 -3 2 8 3 -2 1 5 6 6 5 4 5 9 8 6 8 7 4 -0 1 4 5 6 5 7 14 21 15 6 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 4 5 5 5 4 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 7 8 8 10 10 7 2 -6 -9 -6 -5 -3 -2 2 5 5 6 5 4 4 4 3 2 0 -1 -3 -2 -3 -4 -5 -4 -3 -4 -3 -0 3 5 5 6 8 7 4 4 4 4 4 3 2 5 6 7 8 7 4 5 9 12 8 3 4 5 5 5 7 7 5 4 5 4 4 3 3 4 5 5 5 5 6 6 7 8 8 8 9 9 9 8 7 6 5 5 5 5 6 6 6 5 5 4 4 3 3 4 4 4 5 5 5 6 6 7 8 7 6 6 6 6 7 7 8 9 8 6 4 3 3 3 5 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 4 5 5 5 5 6 7 8 8 8 8 6 4 2 2 1 0 -1 -0 1 3 5 7 7 7 6 6 6 6 6 6 5 5 4 4 4 5 5 6 6 6 7 7 6 5 4 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 7 7 7 8 11 12 12 11 11 10 10 9 9 8 8 7 6 7 7 8 9 9 10 11 11 11 12 12 11 9 8 7 5 5 5 5 5 5 5 6 5 4 7 9 4 -1 2 1 6 5 7 1 3 2 0 9 7 5 1 -1 0 -2 -0 2 2 8 16 11 4 2 3 5 2 -3 0 3 -1 -5 -2 3 7 4 3 4 6 7 7 6 7 3 3 6 4 4 5 5 6 7 17 22 13 5 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 4 5 4 4 4 4 5 5 5 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 8 9 6 2 0 -2 -3 -4 -5 -7 -7 -1 3 3 4 4 3 3 2 -0 -1 -1 -1 -1 1 1 0 0 2 3 2 3 4 5 5 5 6 7 6 7 8 6 8 11 8 6 9 9 10 9 4 1 5 6 7 6 5 5 4 5 6 5 4 4 4 4 3 4 4 4 4 5 5 6 6 6 5 5 6 6 7 8 9 9 8 8 8 6 6 5 5 6 7 7 6 5 4 3 4 4 5 5 5 5 5 4 5 6 7 7 6 6 5 5 5 6 7 8 9 7 5 3 2 3 5 6 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 3 4 5 5 5 6 7 8 8 8 8 8 6 4 3 2 1 -0 -0 1 3 5 6 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 3 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 5 4 4 5 5 4 4 4 4 4 4 5 6 7 7 7 7 8 10 12 12 12 13 12 11 10 10 9 8 6 6 7 7 8 9 11 12 12 12 12 12 11 11 10 8 7 5 5 6 6 5 4 5 6 5 5 8 11 4 -1 0 3 11 17 12 2 1 0 0 1 9 10 8 4 5 4 2 -2 -2 6 15 14 7 1 3 6 4 2 3 1 0 3 5 5 5 1 1 3 6 6 10 10 5 0 2 12 10 5 6 6 6 7 18 23 12 5 3 3 3 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 4 4 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 7 7 9 11 9 6 4 3 3 3 1 -3 -8 -9 -6 -1 2 2 3 3 3 1 1 4 5 4 3 3 4 5 5 5 5 5 4 4 4 4 3 4 5 7 9 9 11 15 15 11 10 9 9 10 6 2 2 3 5 6 6 6 5 6 6 5 4 4 4 4 3 4 4 4 4 5 4 5 7 6 5 4 4 5 5 6 7 8 9 9 9 8 8 7 5 5 7 8 8 7 5 5 4 5 6 6 5 5 5 5 4 4 5 5 6 5 5 5 5 6 7 8 9 8 6 4 2 2 4 7 9 10 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 4 3 3 3 3 3 4 4 4 5 6 7 7 7 8 9 8 7 6 4 3 2 1 1 1 3 4 5 6 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 7 7 7 7 6 6 5 4 4 3 4 3 4 4 4 5 5 4 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 6 7 7 7 7 8 10 12 14 14 14 13 11 11 10 9 7 6 6 6 7 8 10 12 13 12 11 12 11 10 10 10 8 6 5 6 7 6 5 3 4 4 4 5 6 8 7 2 1 6 11 20 15 7 2 3 6 -0 8 13 13 11 13 12 4 -4 -2 5 10 9 5 -1 4 7 4 5 5 2 3 7 8 6 2 4 5 4 5 7 14 14 5 2 3 9 9 7 6 6 6 8 18 23 12 4 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 12 15 13 8 4 4 5 6 4 -0 -6 -10 -8 -4 -1 -0 1 3 4 5 6 7 6 5 5 5 5 5 5 6 6 6 4 4 5 5 4 2 6 9 10 11 12 12 11 9 8 8 9 8 5 3 2 3 4 4 5 7 7 7 6 4 4 3 3 4 4 4 5 4 4 4 5 6 5 5 5 4 4 4 4 4 5 7 9 10 10 9 9 8 6 6 7 8 8 6 6 6 6 6 6 6 6 5 5 4 3 3 4 4 4 5 5 5 6 6 7 8 9 8 5 3 2 4 6 9 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 3 3 3 3 3 4 4 4 4 5 6 7 8 9 8 7 6 6 5 5 4 3 2 2 3 4 5 5 6 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 5 5 4 4 4 4 5 6 6 6 6 6 5 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 3 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 5 5 5 4 4 5 6 7 7 7 8 10 14 17 16 14 13 12 11 10 9 8 7 6 6 6 7 8 11 12 12 11 11 11 10 10 9 9 8 6 5 6 6 5 5 4 3 1 6 8 3 4 4 3 4 6 7 10 10 8 2 2 6 3 6 8 9 15 14 11 4 -1 0 5 5 2 0 3 7 8 2 2 2 3 5 6 9 8 3 7 9 8 4 6 13 11 5 4 4 3 4 5 6 5 6 12 21 22 12 5 4 4 4 3 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 5 5 5 5 4 4 5 4 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 7 8 11 15 17 12 7 7 5 4 5 4 3 -2 -7 -7 -4 -4 -2 0 1 1 3 5 6 6 7 6 5 5 4 5 6 7 7 5 6 8 7 4 5 8 9 9 9 8 6 7 7 8 8 8 7 5 3 2 2 3 4 6 8 9 8 6 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 1 4 7 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 7 7 6 4 4 3 3 4 4 4 5 5 5 5 5 6 7 9 8 6 4 2 3 5 8 10 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 4 4 3 3 3 4 4 4 3 3 3 5 7 9 9 7 6 6 6 6 6 5 4 3 3 3 4 4 4 4 5 6 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 6 5 4 3 3 3 3 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 5 5 5 4 5 5 6 7 8 8 9 15 23 22 15 11 9 9 9 8 8 7 7 7 7 6 7 8 11 13 12 10 9 9 9 9 8 8 7 6 6 5 4 3 4 4 2 3 10 12 4 1 2 6 7 6 5 4 7 6 1 3 8 7 5 2 3 12 8 6 4 2 5 6 5 -1 -2 8 12 8 3 2 3 6 7 9 11 7 2 5 11 11 5 6 13 8 6 7 5 2 1 2 5 6 5 10 22 24 13 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 5 4 5 4 5 5 6 8 11 14 16 16 14 10 7 4 4 5 6 2 -2 -2 -2 -1 1 1 -0 1 4 6 8 9 7 6 5 4 4 6 10 10 8 7 9 9 6 5 8 9 8 7 7 6 6 7 7 7 8 8 6 4 3 2 3 3 4 6 8 9 8 5 4 3 3 3 3 4 5 5 5 4 3 3 4 4 4 4 5 6 7 4 2 5 7 8 9 10 11 9 8 8 7 7 7 7 8 9 9 9 8 7 6 5 5 5 5 4 4 4 5 5 5 4 4 5 7 8 8 7 5 3 2 3 5 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 5 4 4 4 4 4 3 4 4 3 2 2 3 6 8 9 7 5 5 5 6 5 5 4 4 3 4 3 3 3 3 4 4 5 5 5 6 7 7 7 8 8 8 7 7 7 6 6 5 6 6 7 7 7 6 6 5 6 6 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 7 7 8 8 12 25 34 21 8 5 6 7 7 7 7 7 7 7 7 7 8 9 11 13 12 10 9 9 8 7 7 7 7 6 4 3 2 1 4 3 2 9 11 14 8 2 3 8 5 5 6 6 8 5 3 6 7 8 5 1 1 5 4 3 3 4 8 7 4 1 -0 6 10 10 7 6 6 7 10 13 12 5 1 3 9 11 5 6 14 11 6 10 6 2 2 3 5 6 3 6 19 27 17 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 6 8 10 15 17 17 16 13 9 7 8 9 7 6 5 4 2 4 5 5 4 6 7 7 8 9 7 5 6 5 7 13 13 11 10 10 8 6 7 8 8 7 7 6 6 6 6 5 6 7 7 7 6 5 3 3 3 4 4 5 7 8 7 4 4 3 2 3 4 4 4 4 3 3 3 4 3 4 4 4 5 7 7 5 5 5 6 8 10 11 11 10 9 9 8 6 5 7 8 10 10 9 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 7 7 7 5 4 2 3 4 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 4 4 4 4 4 3 3 2 2 4 7 8 7 5 4 4 5 5 5 5 4 3 3 3 3 3 4 3 3 4 3 4 4 5 6 7 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 5 5 5 6 7 8 9 10 16 33 30 7 -1 2 5 6 6 6 7 7 8 7 7 7 8 10 12 13 12 10 9 8 8 8 7 6 5 4 2 1 1 2 3 4 7 9 7 10 12 6 5 5 3 3 2 5 7 4 3 3 3 3 4 3 1 2 6 6 5 6 9 9 4 2 1 3 5 7 8 6 5 6 11 13 9 5 4 6 7 6 2 4 11 12 9 12 8 3 3 4 5 4 3 5 14 27 22 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 3 3 4 4 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 7 8 10 13 16 17 16 14 13 14 14 15 14 10 5 5 7 7 6 9 12 10 9 13 13 10 11 8 8 12 14 11 8 7 6 6 7 8 8 6 5 5 6 6 5 5 5 6 6 7 6 5 5 4 4 4 3 4 5 7 7 6 5 3 3 3 3 4 4 3 3 3 3 3 2 3 3 3 4 5 6 6 6 5 5 6 8 10 11 11 11 10 9 7 5 5 7 9 10 9 7 6 6 6 6 6 6 7 7 6 6 5 5 5 5 4 5 6 6 5 5 4 4 4 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 4 4 4 4 4 4 4 4 4 5 5 4 3 3 2 3 6 8 8 6 4 3 3 4 4 5 5 4 3 3 3 4 4 4 3 3 3 3 3 4 5 5 6 7 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 7 7 7 7 7 6 6 7 6 6 6 5 5 5 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 5 5 6 7 8 10 13 19 28 14 -4 -4 3 5 6 6 7 7 8 8 7 7 7 8 11 13 13 12 10 8 8 8 7 6 5 3 1 0 1 4 4 3 5 11 8 2 6 11 9 8 6 5 4 1 3 6 6 7 4 -0 -1 3 4 2 6 12 11 8 8 9 10 10 10 5 1 -1 -2 4 5 6 5 6 6 3 1 6 11 7 2 0 3 7 13 15 14 10 6 5 3 2 4 4 4 13 25 23 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 6 6 6 5 5 5 5 4 4 4 4 4 4 3 4 4 5 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 7 9 11 13 14 14 12 13 14 14 15 16 13 10 11 10 10 12 14 15 14 16 16 15 14 12 7 7 10 8 6 4 4 5 7 8 6 5 4 4 4 4 5 5 4 5 5 5 6 6 5 5 5 4 4 3 3 5 6 7 6 4 4 3 3 3 3 3 3 4 4 3 2 2 2 3 3 4 6 6 6 6 6 6 7 9 10 11 12 12 11 9 7 5 5 7 9 8 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 4 4 5 6 5 5 5 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 4 4 4 4 5 5 5 5 5 5 4 3 4 3 4 6 8 8 6 3 3 3 4 5 4 4 4 3 4 5 5 5 4 3 2 2 2 3 3 4 4 5 5 6 7 8 8 8 7 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 4 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 6 6 5 6 6 7 9 13 17 21 21 5 -3 2 4 3 4 4 6 8 7 7 7 6 6 8 11 13 13 11 9 8 7 8 7 6 4 2 -0 -0 3 8 7 1 3 11 10 9 6 5 7 7 8 9 8 3 2 4 8 11 8 1 -0 4 6 7 12 14 10 7 6 8 10 13 15 9 4 -0 -4 1 5 10 7 -1 -0 0 1 7 11 10 5 2 3 4 11 19 15 11 6 3 0 1 6 7 3 14 26 20 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 7 8 7 6 5 6 8 11 14 14 13 13 13 10 9 10 10 10 10 10 9 9 7 5 6 6 6 5 5 5 6 6 6 5 4 3 3 3 3 4 4 4 5 4 5 5 5 5 5 5 5 4 3 3 4 6 6 6 4 4 3 3 2 3 4 4 5 4 3 2 2 2 3 4 4 5 6 6 6 6 6 7 9 10 12 13 13 11 9 7 6 6 7 7 6 6 5 6 6 7 7 7 8 8 7 7 6 6 5 4 4 4 5 5 4 4 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 7 9 8 7 6 5 5 5 4 4 4 4 4 5 6 6 6 5 4 3 2 3 3 3 3 4 4 4 5 6 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 6 7 7 7 7 7 6 6 5 5 5 4 4 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 7 6 6 6 7 8 11 16 22 25 18 -0 -1 8 1 -2 -1 1 5 9 7 6 6 6 7 7 10 11 12 10 8 7 7 8 7 5 3 1 1 2 6 10 7 -2 1 11 15 16 4 1 -1 1 9 12 11 4 -1 -0 5 9 8 5 4 6 8 10 11 8 5 4 4 5 8 9 7 9 14 8 0 1 4 10 9 1 1 1 5 8 8 11 8 6 7 4 8 19 17 11 5 1 -3 -0 9 13 7 15 28 18 8 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 4 4 3 2 2 3 5 6 8 9 9 7 6 5 4 3 2 4 4 4 5 5 5 5 5 5 6 6 5 5 5 6 5 3 3 2 2 2 3 4 4 4 4 3 5 5 5 6 6 6 5 4 3 3 3 5 6 6 5 4 3 2 3 3 4 5 5 4 4 3 3 2 3 4 4 5 5 6 6 6 6 6 8 11 13 14 14 11 9 7 6 6 6 6 6 5 6 6 7 7 7 8 9 9 8 7 7 6 6 5 4 4 4 4 3 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 4 5 6 10 12 10 8 7 6 5 5 5 5 5 4 6 6 7 7 6 5 3 3 3 3 3 3 3 3 3 4 5 6 7 7 6 5 5 4 4 3 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 4 4 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 5 4 5 7 7 7 6 6 6 7 9 14 22 28 29 18 -1 -0 5 -5 -9 -6 -2 4 9 9 6 5 6 6 7 9 10 10 9 8 7 6 7 5 3 1 1 3 4 5 8 6 -2 2 11 13 8 2 -1 -4 1 8 10 11 8 5 6 7 5 5 6 6 8 10 11 7 3 2 1 1 4 6 6 2 3 15 14 4 -0 -1 5 11 9 7 6 9 8 6 9 9 10 11 9 10 20 22 13 6 -0 -7 -1 12 17 10 16 28 19 7 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 5 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 5 4 3 3 2 2 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 5 5 5 4 3 3 2 2 2 3 3 4 3 3 3 3 4 5 6 7 6 6 6 5 3 2 2 4 6 6 5 3 3 3 3 3 4 5 6 5 4 2 2 2 2 2 3 4 5 5 5 5 5 7 8 10 13 13 12 10 8 6 5 5 6 6 6 6 5 6 6 7 8 9 9 8 8 8 8 7 6 5 5 5 4 3 3 3 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 6 5 5 5 5 5 6 6 7 7 7 6 5 4 4 5 5 5 4 4 4 7 10 10 8 7 6 6 6 6 5 5 4 5 6 7 7 7 7 5 3 3 2 2 2 2 2 3 3 4 4 4 5 5 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 7 6 6 7 8 13 20 26 28 27 19 7 1 0 -9 -12 -8 -2 5 10 10 8 6 5 5 6 8 10 10 9 8 7 7 6 3 1 0 2 4 5 4 5 6 1 4 10 4 1 7 -0 3 8 3 5 8 8 10 13 11 4 2 4 6 9 13 11 5 4 4 2 -0 2 4 4 -0 -3 5 9 4 -2 -7 1 16 14 11 10 7 2 5 3 4 12 18 17 13 21 27 15 4 -4 -7 1 13 15 9 15 28 21 7 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 7 9 8 6 5 4 3 4 3 4 5 5 5 5 6 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 3 3 2 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 4 6 6 6 6 6 6 5 3 3 3 4 4 3 3 3 3 3 2 1 1 3 5 5 6 6 7 7 7 5 4 2 3 4 5 5 5 4 3 3 3 4 5 5 5 3 2 2 1 1 2 2 3 4 4 4 5 5 6 6 7 9 11 12 11 10 8 5 5 4 5 6 6 5 5 5 6 6 7 8 8 9 9 8 8 7 7 7 6 5 4 3 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 6 6 6 7 7 8 8 7 5 5 5 5 5 6 5 5 4 5 6 6 6 5 5 6 6 7 6 4 4 4 5 6 7 7 7 6 5 3 3 2 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 8 7 6 7 8 14 23 27 22 17 20 14 9 3 -4 -10 -9 -3 2 7 10 11 10 8 6 6 6 7 10 10 9 8 8 7 3 0 -0 1 2 4 5 4 5 9 5 -3 -0 3 5 6 -0 8 15 4 0 3 6 11 11 8 3 3 3 6 12 15 10 5 5 6 5 4 4 4 2 -0 0 2 1 -1 -1 -6 0 17 18 10 7 2 -3 4 4 4 9 13 13 14 26 32 17 3 -6 -7 3 12 7 6 16 30 23 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 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 4 4 5 7 10 12 12 8 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 5 6 6 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 5 5 4 5 6 6 7 7 6 5 4 4 4 5 5 5 4 4 3 2 2 1 0 3 4 4 5 6 6 7 7 7 5 4 3 3 4 5 6 5 4 3 4 4 4 4 4 4 3 2 1 1 1 2 2 3 4 4 4 4 5 5 6 7 9 10 10 11 10 8 6 5 4 5 5 6 5 5 4 5 6 7 8 8 8 8 8 8 8 8 8 7 5 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 6 7 7 7 7 6 5 5 6 6 6 5 5 5 4 4 4 4 4 5 6 7 6 5 4 3 3 4 6 7 7 8 7 6 5 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 2 1 1 1 1 2 2 2 3 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 8 8 7 6 7 9 14 24 31 27 12 3 12 9 2 -5 -9 -7 -3 3 7 8 9 11 11 9 8 7 7 8 10 10 9 8 8 6 1 -2 -0 2 2 4 6 5 4 6 6 3 3 7 6 -2 -3 10 19 9 4 3 6 14 11 2 1 2 3 8 13 12 8 7 5 3 6 8 7 5 4 4 6 6 4 3 5 2 2 14 15 5 3 1 -3 5 7 4 5 10 9 15 30 32 17 4 -4 -5 6 11 5 3 12 30 25 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 4 3 4 5 7 9 12 12 10 7 5 4 3 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 7 7 7 7 6 5 5 5 5 5 5 5 3 2 1 4 7 2 0 3 4 4 5 6 7 7 8 7 6 4 3 3 4 5 5 4 3 3 3 4 5 4 3 2 2 2 1 1 1 2 2 3 3 3 3 4 4 5 5 6 8 9 10 11 11 9 7 5 4 5 6 6 4 4 4 4 5 6 6 6 7 8 8 9 9 9 9 8 5 4 4 3 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 4 4 4 5 6 7 7 6 6 5 6 7 7 6 6 5 4 4 3 3 4 4 5 6 6 5 4 3 3 3 4 5 6 7 7 7 7 6 5 4 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 2 2 1 1 1 1 1 2 2 2 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 6 6 5 5 5 4 4 4 5 4 5 5 5 4 4 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 5 5 6 6 6 7 8 7 7 7 9 13 21 29 27 18 6 -1 5 5 -11 -14 -6 0 4 7 9 9 9 10 10 10 10 9 8 9 11 10 9 8 7 3 -2 -2 1 1 2 5 6 8 8 3 1 7 10 7 2 -5 -1 11 18 16 15 11 10 12 11 2 -2 1 7 11 12 9 7 8 4 1 5 8 6 7 9 11 12 9 8 9 9 3 1 9 7 0 -1 -1 -3 5 3 -1 2 11 9 16 33 31 14 1 -3 0 9 12 7 4 10 26 24 8 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 3 3 4 5 5 6 7 9 10 8 6 5 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 5 7 7 7 7 7 7 6 5 5 6 5 4 3 1 2 7 11 5 1 3 4 4 5 5 6 7 8 8 8 7 5 4 4 5 4 3 4 4 4 4 5 4 2 2 2 2 2 2 2 1 2 2 3 3 3 3 3 4 5 5 6 7 9 11 12 13 10 7 5 4 4 4 4 4 4 3 3 3 3 3 4 5 6 8 8 9 9 9 8 6 5 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 3 3 4 4 5 5 5 6 5 6 7 7 7 7 6 6 5 4 3 3 3 4 6 6 5 4 3 2 2 3 4 4 5 6 7 7 7 7 6 5 4 3 3 3 3 3 4 4 3 3 4 5 5 5 4 2 1 1 1 1 1 1 2 2 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 5 6 6 7 7 8 8 7 10 13 18 22 22 14 7 5 2 -2 -6 -15 -9 1 6 8 8 9 9 9 10 10 10 11 11 10 11 12 11 8 7 4 -1 -3 -1 1 2 3 6 8 9 12 10 4 1 -1 1 0 0 6 11 17 22 20 13 10 10 8 1 -2 3 9 11 9 6 6 6 2 4 9 8 4 7 9 10 11 9 8 11 9 0 -1 6 8 4 2 -0 -2 6 6 3 2 2 2 18 36 29 11 0 -2 5 11 13 9 6 12 23 19 8 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 5 6 7 8 7 6 4 4 5 5 5 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 5 6 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 4 5 7 7 8 8 8 8 7 6 6 6 5 3 2 1 4 9 10 5 2 3 4 4 4 5 6 7 8 8 8 8 8 6 5 6 4 3 4 4 4 4 6 5 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 3 4 5 6 10 13 14 13 11 7 5 3 3 4 4 4 3 3 2 1 1 1 2 3 5 6 7 8 9 8 7 7 6 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 3 3 3 2 2 3 4 5 5 6 6 6 7 7 7 7 7 7 6 4 3 3 3 5 5 5 4 3 3 3 3 3 3 3 4 5 6 7 7 7 8 8 6 5 4 5 4 4 3 3 3 3 4 5 6 6 4 3 1 1 1 1 1 1 2 2 2 3 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 4 5 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 5 6 6 8 9 8 10 11 14 17 17 14 9 3 2 6 6 -4 -8 -4 2 7 8 8 8 8 8 9 9 9 9 11 12 12 12 13 11 9 6 1 -3 -1 3 0 4 2 5 8 6 9 8 3 2 0 -0 1 7 10 10 15 20 15 10 10 9 5 -1 -1 6 9 8 5 4 5 4 0 8 16 11 6 4 3 5 5 3 7 11 9 5 1 4 10 9 9 6 3 5 9 8 7 3 9 25 32 23 9 0 0 6 11 11 8 7 14 24 17 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 6 6 5 4 5 5 4 4 3 2 2 2 2 2 2 3 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 6 6 5 4 3 3 4 4 5 5 4 4 4 4 4 3 3 4 5 6 8 8 8 8 8 7 7 7 6 5 3 2 2 6 9 8 4 3 4 5 4 4 5 6 6 7 8 8 8 9 8 7 9 7 3 3 4 4 4 5 6 5 4 4 4 4 4 3 3 3 2 3 3 3 3 3 4 3 3 3 3 4 7 11 14 15 14 11 8 6 4 3 3 3 4 3 2 1 0 -0 -0 1 3 4 5 6 7 8 8 8 8 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 2 2 2 2 2 3 4 4 4 3 2 2 3 4 5 6 6 6 7 7 7 6 7 7 7 6 5 4 3 3 4 4 4 4 4 3 3 3 3 3 2 3 4 6 7 8 9 10 10 8 7 6 5 4 3 2 2 2 2 4 5 6 6 5 3 2 1 1 1 1 1 1 2 2 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 10 12 10 14 16 15 15 12 8 1 -3 1 8 8 1 1 6 7 8 8 7 6 6 7 8 8 9 10 11 13 14 14 13 12 9 4 0 -2 1 3 1 4 2 1 2 4 7 4 -1 1 1 1 5 12 9 7 10 11 9 8 9 7 2 -1 2 8 9 7 4 3 5 3 1 9 16 12 7 1 -2 4 5 2 6 6 9 12 5 4 7 6 8 10 8 0 9 14 15 14 18 25 23 13 5 -0 -0 5 10 9 6 8 16 25 17 6 5 5 5 5 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 3 3 2 1 1 2 2 2 2 3 4 5 5 4 4 3 3 3 3 3 3 4 4 3 3 4 5 5 5 4 3 2 2 3 4 5 6 6 6 5 4 3 2 2 2 4 6 7 8 8 8 8 8 7 7 7 5 3 2 3 5 6 6 5 5 5 5 4 5 5 5 5 6 6 7 7 8 9 9 9 9 6 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 4 4 4 3 3 3 5 7 11 14 15 14 13 11 8 6 4 3 3 3 3 2 1 1 1 1 2 3 4 4 5 6 7 8 9 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 3 3 3 4 5 5 5 3 2 2 3 4 4 5 6 6 7 7 7 7 7 7 7 7 5 4 3 3 4 4 4 4 4 4 4 3 3 2 3 3 5 6 7 7 8 10 10 8 6 4 3 3 2 1 1 1 2 4 5 7 7 6 4 2 1 1 1 -0 -0 1 1 2 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 10 14 14 17 15 10 10 11 8 2 3 7 9 9 7 8 9 7 7 6 5 5 5 6 8 8 9 11 12 14 16 15 14 12 10 5 1 -1 -0 4 7 6 3 -1 -0 4 7 10 13 9 -2 -1 5 8 3 3 5 3 3 5 4 5 6 5 4 6 11 8 3 1 6 7 8 9 11 10 6 1 1 4 2 0 5 7 8 10 9 7 5 2 4 10 11 -2 4 16 22 21 18 15 8 1 2 -0 -2 4 9 9 6 9 18 23 14 6 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 6 5 5 5 4 4 5 4 4 3 3 3 3 3 4 4 4 5 5 4 4 3 3 3 2 3 3 3 4 4 4 3 4 3 3 2 1 1 1 1 2 2 2 2 3 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 6 6 6 5 4 3 1 0 0 2 5 7 7 8 8 8 7 8 8 8 6 5 3 3 4 5 5 7 7 6 5 4 5 5 5 5 5 5 5 6 7 8 8 9 9 8 7 6 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 2 3 5 8 11 13 14 15 15 13 11 8 5 3 3 3 3 3 2 3 2 2 2 3 4 4 5 6 8 9 9 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 3 3 3 3 3 4 5 6 6 4 2 2 2 3 4 5 6 7 7 7 8 7 7 8 8 7 6 4 3 3 2 3 3 3 4 4 4 4 3 3 4 5 7 7 6 6 6 7 6 5 3 3 2 2 1 0 0 2 3 3 5 8 8 6 4 1 1 -0 -1 -1 -0 1 1 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 8 13 19 18 13 9 7 9 11 11 10 14 11 6 6 8 8 6 5 4 4 4 5 5 6 7 9 10 12 13 14 18 19 14 11 10 7 3 1 1 5 11 11 7 3 5 5 3 8 14 11 5 3 6 1 -3 2 4 1 0 1 -1 7 17 12 3 3 10 9 4 4 7 12 14 13 11 8 2 -1 5 8 5 -0 2 7 6 7 13 10 2 2 6 9 12 -1 -7 5 25 26 13 2 -6 -5 1 -1 1 8 10 10 8 7 15 22 15 6 5 5 6 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 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 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 2 1 2 2 3 3 3 3 3 4 5 6 6 7 7 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 3 3 2 3 4 5 5 5 4 4 3 2 1 -1 -2 -0 4 6 7 7 8 8 7 7 8 8 8 7 6 4 4 4 4 6 7 6 5 4 5 4 4 4 4 4 4 4 5 5 6 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 5 8 10 11 12 13 15 15 14 10 6 4 3 3 3 3 4 4 2 2 3 3 4 5 6 7 9 10 11 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 3 3 3 3 5 6 6 6 4 2 2 2 3 4 5 6 6 7 8 7 7 8 8 8 7 7 4 3 2 2 2 2 3 4 4 4 5 4 4 6 8 9 8 5 4 4 4 4 3 2 2 1 1 1 1 2 3 3 4 6 9 9 6 3 1 -1 -1 -1 -1 -0 -0 0 1 2 3 3 4 4 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 7 9 13 18 20 15 8 7 8 10 9 9 15 14 4 -1 3 5 5 4 3 3 3 4 4 5 6 7 9 11 13 15 16 20 20 13 10 10 7 4 2 1 3 10 14 11 9 9 5 3 2 5 6 6 9 17 3 -2 5 5 3 5 4 0 7 18 11 0 1 6 9 10 10 9 11 11 13 15 9 -1 -6 3 11 8 -1 2 10 7 9 16 10 2 8 10 9 11 5 -4 1 27 24 5 -10 -13 -1 5 3 7 11 10 9 8 6 11 23 20 7 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 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 4 4 4 4 3 3 3 4 4 5 4 5 4 4 3 4 4 3 3 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 4 5 6 7 7 7 7 6 6 5 5 6 5 5 4 4 5 5 5 5 4 4 3 3 3 4 5 6 6 5 4 3 2 1 0 -0 -2 0 4 6 7 6 7 8 8 7 7 7 8 8 7 5 4 4 4 5 6 5 5 5 5 4 4 4 3 3 3 3 3 4 4 5 6 8 8 8 8 7 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 6 8 9 9 9 12 16 17 17 12 7 4 3 3 3 4 4 3 2 3 2 5 6 7 8 9 10 10 9 10 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 2 3 4 4 6 7 6 4 2 2 2 3 3 4 5 6 7 7 7 7 7 7 8 8 7 6 5 4 3 2 2 3 4 4 5 5 5 6 7 9 9 7 5 4 3 3 2 2 2 1 2 2 3 3 3 3 3 5 8 11 10 5 1 -1 -1 -1 -0 -0 -0 -0 0 0 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 10 16 18 18 15 9 6 7 9 10 6 6 11 5 -5 -3 2 3 3 3 3 2 3 4 5 7 8 9 9 11 13 15 19 22 18 12 9 10 5 2 3 5 5 6 10 11 11 10 7 4 -2 -1 2 6 14 20 5 3 8 5 5 10 8 2 7 12 5 0 3 5 10 15 13 10 10 7 8 12 6 0 -3 3 9 3 -1 4 8 7 11 13 6 5 11 7 7 11 17 10 16 29 18 -8 -22 -11 14 21 19 19 16 10 8 7 6 11 22 22 9 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 6 6 5 5 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 7 6 4 3 2 1 1 -0 -0 3 5 5 6 5 6 7 8 8 8 7 8 9 7 5 4 4 5 5 6 7 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 6 7 7 8 8 7 6 6 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 4 3 2 2 2 3 4 7 8 8 7 8 12 16 19 18 14 8 5 3 3 3 4 3 3 3 3 4 5 7 8 8 8 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 3 3 3 3 3 3 4 4 3 3 5 7 9 7 4 3 2 2 2 3 3 4 5 5 5 5 5 6 6 7 8 9 8 5 3 3 2 3 3 4 4 5 5 5 6 8 9 8 6 5 4 3 3 3 2 3 4 4 4 4 4 3 3 4 6 10 13 10 4 0 -0 -0 -0 -0 -1 -1 -1 -1 0 1 2 2 3 3 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 5 4 4 4 4 5 4 5 5 6 11 19 19 13 9 7 6 7 8 7 4 5 6 1 -5 -1 3 2 2 3 3 2 3 5 7 9 9 9 10 11 13 15 20 21 15 9 7 8 4 1 4 8 7 5 5 5 6 7 9 6 -1 -2 -1 3 18 13 -1 3 4 2 8 16 8 0 4 5 5 10 12 8 10 13 11 11 11 8 7 7 1 5 5 4 9 2 1 1 -2 4 12 8 3 9 13 8 1 8 23 17 25 29 14 -16 -24 -1 24 33 33 29 20 12 9 7 5 10 21 24 12 4 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 4 4 3 2 1 2 4 4 4 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 6 6 7 7 7 7 7 6 7 7 6 6 6 6 5 4 5 5 4 4 4 4 4 5 6 7 8 7 6 5 3 3 2 1 2 5 7 6 5 4 4 5 6 7 8 8 9 10 12 11 6 3 5 7 8 8 8 8 8 7 7 5 4 3 2 2 2 3 3 3 3 4 4 5 6 7 8 8 8 7 7 6 6 6 6 6 7 6 5 5 4 4 5 5 5 5 4 4 4 3 2 2 2 4 6 7 7 6 7 9 13 17 20 20 15 9 6 4 3 3 4 4 3 3 4 5 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 5 5 5 4 3 4 7 11 10 7 4 3 2 2 2 2 2 3 3 3 3 4 4 4 5 7 8 7 5 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 6 6 6 5 5 6 6 6 5 5 4 4 4 3 4 8 13 13 8 3 1 1 1 0 -1 -1 -2 -2 -1 1 2 2 2 2 3 3 4 4 4 5 5 4 4 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 8 17 18 11 7 7 7 7 7 6 4 6 6 2 -1 1 2 2 2 3 2 2 3 7 10 10 10 11 11 11 12 16 20 19 11 5 5 7 5 2 5 5 7 8 6 5 4 7 11 10 4 0 -4 -1 11 2 -3 3 2 1 13 22 10 1 -1 -2 9 20 14 9 8 7 6 9 7 6 11 9 2 7 8 7 10 3 -2 -4 -3 6 9 2 2 9 11 8 2 8 15 13 26 28 10 -13 -12 8 19 25 29 26 17 12 10 7 4 8 19 25 14 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 2 2 2 3 3 3 4 4 4 4 4 3 3 2 2 4 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 5 6 8 9 10 7 6 5 4 3 3 3 5 9 10 7 5 4 5 5 6 6 6 7 9 11 14 14 9 5 5 7 8 10 9 9 9 9 9 8 7 5 3 2 2 2 2 3 3 3 3 4 5 6 8 9 9 9 8 7 6 6 7 7 7 7 6 5 5 6 6 6 6 5 5 4 4 3 3 2 2 3 5 5 6 6 7 9 11 14 17 19 19 15 10 6 4 3 4 5 4 4 4 5 6 7 7 7 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 8 7 7 7 7 5 4 3 6 11 13 9 6 3 2 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 4 4 5 5 5 5 5 6 6 6 5 3 3 4 5 5 7 9 9 8 7 7 6 5 5 5 5 4 4 4 4 6 10 14 12 6 2 2 2 1 -1 -1 -2 -1 -1 -0 1 1 1 2 2 2 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 12 17 14 9 7 6 6 6 5 4 8 9 4 1 2 1 2 2 2 2 3 5 9 11 10 10 12 13 12 13 17 20 17 9 3 5 5 3 6 6 2 3 2 4 7 8 9 9 8 7 5 4 9 5 -5 -3 1 3 1 14 18 7 5 5 2 8 13 9 8 5 2 4 7 5 5 13 11 5 4 7 8 7 4 1 0 3 3 -3 -6 -0 7 7 1 1 6 3 8 26 29 11 -5 -3 9 14 15 16 16 12 9 8 7 4 8 21 27 15 5 5 5 5 6 5 5 5 4 4 5 5 4 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 4 5 5 3 3 2 2 2 2 3 3 3 4 5 5 6 5 4 3 3 4 5 6 6 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 5 6 8 9 10 11 11 8 6 5 5 3 3 3 7 11 10 7 5 6 6 6 6 6 6 7 8 10 12 14 11 7 5 6 7 7 7 8 9 10 11 10 11 9 6 3 1 1 2 2 2 3 3 4 4 5 6 7 9 8 8 7 6 7 7 7 7 7 7 6 6 7 7 7 6 5 5 5 4 4 4 3 2 3 4 4 5 6 7 9 11 12 14 15 18 20 15 10 6 4 4 5 5 4 4 5 6 7 8 8 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 11 10 10 10 10 9 7 5 3 5 9 12 10 7 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 6 7 6 4 3 3 3 5 6 8 9 9 8 5 4 4 4 4 4 4 4 4 5 5 8 12 13 10 6 3 3 2 1 -0 -0 -0 -0 -0 0 0 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 4 5 6 7 7 7 6 7 17 20 11 8 7 6 4 -0 2 10 9 3 1 1 2 2 2 2 3 4 6 9 9 10 12 12 12 14 17 19 19 14 7 4 5 3 4 9 6 4 1 0 2 6 6 4 3 5 8 6 6 10 12 9 4 0 0 -1 8 6 1 6 13 14 15 11 9 7 3 1 5 9 7 5 10 8 4 5 10 8 5 -1 -6 5 19 10 -7 -6 2 4 -2 -3 -0 3 -1 8 25 27 12 0 4 11 13 12 12 10 8 6 6 5 4 11 22 20 8 5 7 6 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 3 3 3 2 2 4 5 6 7 8 8 6 5 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 7 6 6 6 6 6 7 7 6 7 7 7 7 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 7 8 11 13 13 13 11 9 7 6 6 5 2 2 6 10 8 6 6 6 6 7 6 6 7 7 6 7 8 9 9 6 5 4 5 6 6 7 8 10 11 12 12 12 9 5 3 2 1 2 2 3 3 4 4 4 5 6 8 8 7 6 6 6 6 6 7 6 7 7 7 7 7 7 7 6 6 5 5 5 5 4 3 3 3 4 4 5 6 8 10 11 12 13 16 19 17 13 9 7 6 6 5 4 3 4 5 6 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 10 10 9 9 9 10 10 10 9 7 5 5 6 9 10 8 6 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 5 6 6 6 6 7 6 5 4 4 4 5 6 7 8 6 4 3 2 3 3 4 4 4 5 5 6 7 10 13 13 10 6 4 3 3 1 2 1 1 -0 -0 -0 -0 0 1 1 2 3 4 4 4 4 4 3 3 4 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 6 4 8 21 22 12 9 8 8 3 -5 -2 5 6 2 1 2 3 3 3 3 3 5 6 7 8 12 14 11 11 15 16 16 16 11 6 6 6 3 4 4 5 3 1 2 5 7 5 2 2 5 5 3 3 4 12 19 13 7 2 0 2 -0 0 6 15 18 21 18 15 7 3 5 10 14 9 3 2 1 2 7 11 9 3 -10 -13 9 31 17 0 1 3 -4 -7 -1 1 -1 1 12 22 21 11 6 10 14 14 12 10 8 7 7 6 3 3 9 15 10 5 11 13 8 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 2 2 2 4 4 2 2 2 3 4 5 7 10 12 12 10 7 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 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 8 8 7 7 6 6 5 5 5 5 5 6 8 10 12 14 15 15 13 10 8 7 7 7 5 2 1 4 7 7 6 6 6 6 6 6 6 6 7 6 6 6 7 7 6 5 4 4 5 6 7 9 11 11 12 13 14 12 9 5 3 2 2 2 3 4 4 4 3 4 5 6 7 7 6 6 5 5 5 5 5 6 6 6 7 6 7 7 7 7 6 5 5 5 5 3 3 3 3 3 3 5 6 8 10 11 13 14 16 16 14 11 8 7 7 5 4 3 3 3 5 7 8 8 6 5 5 5 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 7 8 9 9 9 7 5 6 7 8 8 6 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 6 7 7 7 6 5 5 5 6 6 6 5 4 2 2 3 3 4 4 4 5 6 6 7 9 12 15 13 10 6 5 3 3 2 2 2 1 -0 -0 -0 0 0 0 1 2 3 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 7 8 7 6 5 4 10 22 21 12 10 9 8 3 -2 2 4 4 1 1 2 4 4 4 4 4 4 6 6 11 16 12 10 14 13 11 13 13 9 6 6 5 3 -1 0 8 6 3 4 7 6 5 4 8 9 5 10 9 0 4 13 13 10 6 2 -0 1 4 9 13 12 11 14 13 8 7 9 14 16 11 4 1 1 2 3 4 6 4 -4 -3 14 24 14 5 2 0 -6 -7 -0 1 -1 5 15 17 11 8 10 14 15 13 11 8 6 8 8 6 2 2 6 8 7 8 14 22 15 6 6 7 6 6 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 3 4 5 5 5 4 4 4 3 2 2 2 4 4 3 2 2 2 3 3 4 8 12 14 13 10 7 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 6 6 7 9 12 13 15 16 15 13 10 8 7 6 6 6 5 2 0 2 7 8 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 11 14 13 13 14 15 14 11 8 6 4 2 1 2 3 4 4 4 4 4 4 5 6 5 5 5 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 2 3 5 7 9 11 12 13 14 15 14 13 9 8 6 5 4 4 3 3 5 7 8 7 6 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 7 8 9 9 8 7 6 6 7 7 7 6 4 3 4 4 5 5 5 6 6 6 5 5 6 6 5 5 4 3 3 3 3 4 4 4 4 5 6 7 7 7 6 5 5 5 5 6 5 4 3 2 2 3 4 4 4 4 5 6 7 8 10 14 16 14 10 6 4 3 2 2 2 1 0 -0 0 1 1 -0 0 1 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 6 6 6 6 7 7 8 7 7 5 5 6 13 22 19 12 9 7 6 5 11 19 10 3 0 1 3 4 4 4 4 4 4 6 10 17 18 10 12 17 12 9 11 11 8 5 4 3 3 2 6 11 10 7 7 5 4 3 3 11 9 11 22 11 -3 9 16 9 8 7 4 1 2 7 10 6 3 -0 -1 0 8 11 11 14 16 12 7 5 5 7 7 5 6 5 2 3 10 9 10 11 6 -2 -4 -1 3 5 5 10 15 10 4 5 10 15 17 12 9 6 5 8 9 5 1 1 5 7 7 8 14 25 19 6 6 7 6 5 5 5 4 4 5 4 4 5 4 4 4 4 4 5 5 4 4 3 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 3 2 2 2 3 4 3 3 3 2 2 1 2 4 7 10 11 10 7 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 6 6 5 6 7 7 9 11 13 15 15 15 13 10 7 4 5 6 6 6 5 5 4 3 4 8 8 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 6 9 13 15 13 13 14 14 13 11 8 5 3 2 2 3 4 4 5 6 5 4 4 5 5 4 4 3 3 3 2 2 2 3 4 5 6 6 6 6 6 6 7 7 7 6 5 4 3 2 3 3 4 5 7 9 11 12 13 14 15 14 12 8 5 4 4 4 4 4 5 8 9 8 6 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 5 6 7 8 9 9 8 7 7 6 7 8 8 7 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 3 4 4 4 5 6 6 6 5 4 4 5 6 6 5 4 3 3 3 3 3 4 4 4 5 7 7 8 11 15 16 14 9 4 3 2 2 2 2 0 -1 0 2 1 -0 -0 1 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 6 6 7 8 8 8 7 5 5 6 8 16 24 20 11 6 7 9 10 17 17 8 1 -0 1 2 3 4 5 5 5 5 8 15 19 16 10 12 14 12 12 11 10 6 4 5 3 3 6 9 11 5 2 5 6 3 1 1 8 10 16 25 10 3 15 15 7 7 7 5 3 2 5 6 0 -1 -3 -8 -6 5 11 13 14 14 12 8 4 3 8 10 5 2 3 6 7 4 1 4 12 11 3 3 6 8 9 9 11 11 4 2 6 11 17 17 14 9 6 5 8 8 4 1 3 5 7 7 9 14 24 21 8 5 7 7 6 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 2 3 3 4 4 4 3 1 0 0 2 4 6 8 8 7 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 8 7 7 7 6 7 7 7 9 10 12 14 15 15 14 11 7 3 1 2 4 6 6 6 6 6 6 6 5 6 6 4 4 4 5 5 5 5 5 6 6 6 5 4 4 4 5 5 4 5 7 6 6 9 12 13 13 13 13 13 11 9 6 4 4 5 5 6 7 9 10 8 5 4 4 4 3 3 3 3 2 1 0 1 2 3 5 6 6 6 6 6 6 7 7 7 6 5 4 4 3 4 3 3 4 5 7 9 10 11 13 16 18 15 9 5 3 3 3 3 3 5 8 11 11 9 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 4 5 6 7 8 9 9 8 7 7 7 9 10 11 10 7 5 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 4 3 3 3 3 4 4 4 5 4 4 4 5 5 7 6 4 4 4 3 3 3 3 3 4 5 6 6 7 8 11 15 16 13 7 4 3 3 3 2 1 1 2 3 2 0 -1 0 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 7 7 8 8 7 6 5 6 9 14 23 28 19 7 4 9 14 10 6 1 -0 -0 0 1 2 3 3 4 5 6 6 10 18 18 11 8 8 9 11 14 13 10 6 4 5 2 1 4 5 8 4 2 4 8 5 1 1 4 10 14 15 8 14 13 5 5 8 7 6 5 2 4 3 -3 -3 -1 -3 -0 5 11 15 13 11 8 5 1 3 9 10 4 -1 1 11 13 1 -3 1 8 9 8 8 10 9 9 9 8 4 2 6 9 10 15 18 16 11 6 6 7 6 2 2 4 6 7 7 8 14 24 23 10 5 6 7 6 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 5 5 4 2 -0 -0 1 3 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 7 6 6 6 6 6 6 6 6 5 6 6 6 7 8 9 9 8 9 9 8 8 7 7 7 8 9 10 11 13 14 15 15 14 12 11 8 4 2 3 4 5 6 7 7 7 7 8 7 3 5 5 4 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 5 9 7 3 6 10 12 13 13 13 12 10 8 6 6 7 9 9 10 12 15 16 12 7 4 3 3 4 3 4 4 3 3 2 1 1 3 4 6 6 6 6 6 5 5 6 6 6 6 5 4 4 4 3 3 3 3 4 6 8 8 11 15 19 18 12 8 6 5 3 2 1 2 6 10 13 12 8 6 5 4 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 3 4 5 7 8 8 9 9 8 9 10 11 12 13 12 10 7 6 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 6 5 4 3 2 2 2 2 2 3 4 4 4 4 5 7 7 5 4 4 3 3 3 3 3 4 4 5 6 6 6 7 10 13 14 13 9 6 5 4 3 2 3 4 4 3 0 -1 -0 2 3 4 3 3 2 2 3 3 3 2 2 2 2 2 3 3 3 4 3 4 4 5 6 7 8 7 7 6 5 6 11 18 27 35 30 15 5 3 5 8 2 -3 -2 -1 -0 0 1 2 2 3 4 5 6 6 10 16 16 10 8 8 7 8 10 12 9 3 2 5 3 1 2 5 10 10 7 4 2 2 3 4 4 9 12 1 -1 7 4 1 4 8 7 7 6 4 4 3 -2 -3 -3 -2 3 8 11 13 12 11 3 -3 -1 4 9 11 6 2 2 8 10 1 -3 5 9 7 7 9 9 9 10 8 5 3 8 10 8 9 11 16 17 13 8 7 7 5 2 3 5 6 6 6 8 16 26 23 9 4 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 5 5 5 3 1 0 1 2 5 6 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 6 5 5 6 6 7 7 8 9 9 9 9 9 8 7 7 7 8 9 10 11 14 15 16 16 15 14 11 9 8 8 7 7 7 6 6 7 7 7 8 9 9 10 5 2 3 4 5 5 6 6 6 5 5 5 6 6 6 4 4 4 3 3 3 3 7 7 4 5 9 11 13 14 13 11 10 8 7 9 11 12 12 12 14 18 21 18 11 5 3 4 4 4 4 6 6 5 4 3 2 3 4 5 6 6 6 5 5 5 4 5 6 6 6 5 5 4 4 4 3 2 3 4 5 6 8 11 14 16 15 12 10 8 7 3 1 1 4 8 12 13 11 8 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 5 5 4 3 3 4 6 7 8 10 10 11 10 10 11 13 15 14 12 10 8 5 5 4 4 5 5 5 4 4 5 5 6 6 7 7 6 5 4 4 3 2 2 2 3 4 4 3 4 5 6 6 5 4 4 3 3 3 3 3 3 4 5 6 6 6 5 6 8 11 13 12 10 9 7 5 4 4 6 6 4 1 -1 -0 2 4 4 3 2 2 2 2 2 3 3 3 2 2 2 3 4 4 4 4 4 5 6 6 7 7 7 6 5 6 13 22 31 39 38 24 11 6 1 -5 -6 -7 -5 -2 -1 0 1 1 2 2 3 4 5 6 6 8 12 15 14 13 11 9 6 4 6 7 0 1 6 7 8 2 6 14 12 10 7 -3 -1 4 8 10 10 8 1 1 3 -1 1 5 10 10 6 4 3 4 4 2 -0 -2 -0 6 9 9 9 11 10 0 0 3 3 5 8 7 4 3 5 6 5 3 9 12 10 7 9 9 6 10 8 3 9 18 14 8 9 10 12 15 15 10 8 7 5 4 4 4 6 6 6 11 23 28 17 6 4 5 6 6 7 7 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 5 4 4 3 4 4 4 5 4 4 3 3 3 3 3 4 4 4 4 2 1 2 3 5 6 6 5 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 6 6 6 5 6 6 5 5 5 5 5 6 7 8 9 9 9 9 9 9 8 7 7 7 9 10 12 13 15 16 17 17 16 13 10 7 6 7 9 9 8 8 8 7 7 8 8 8 8 9 10 8 2 3 4 5 6 6 6 7 6 6 6 6 6 6 5 4 4 4 3 2 3 5 5 4 5 7 10 11 12 12 12 11 10 10 10 11 11 12 12 13 17 21 20 13 7 5 6 4 4 5 6 7 8 7 6 5 4 5 6 6 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 4 3 3 3 4 4 5 7 8 10 13 14 13 12 12 10 6 4 5 7 11 12 12 9 5 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 8 9 8 4 2 1 3 5 7 8 10 11 10 10 9 10 13 14 14 13 12 9 7 5 4 4 5 5 5 4 5 5 6 6 6 7 7 6 6 5 5 4 4 4 4 4 4 3 3 3 5 5 5 4 4 4 4 4 4 3 3 4 4 5 6 6 5 4 5 7 9 11 11 12 11 9 7 7 8 7 5 1 -1 0 3 5 4 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 4 4 5 6 6 7 7 6 5 5 12 24 33 34 30 24 17 11 8 1 -6 -10 -8 -4 -2 -0 1 2 2 2 3 4 5 6 6 6 7 9 15 18 16 12 12 9 4 4 7 4 2 5 12 14 4 7 9 11 9 9 3 0 2 7 12 8 3 9 14 14 7 4 4 9 9 5 3 4 7 8 7 6 4 5 7 9 5 6 12 7 2 11 8 1 2 5 6 4 3 1 6 11 6 3 6 11 10 7 7 6 10 5 3 13 21 15 9 9 11 12 13 14 13 10 8 6 5 4 4 5 6 7 17 30 25 10 3 4 5 6 6 7 7 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 5 5 4 4 4 4 4 5 5 5 4 4 3 4 4 3 3 3 4 4 3 3 3 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 7 8 9 9 9 9 8 8 7 7 7 8 9 11 13 14 16 17 17 16 15 13 10 7 4 4 6 8 9 8 8 8 8 8 8 8 8 8 9 8 4 1 4 5 5 6 6 6 7 7 6 5 5 6 6 5 5 5 4 3 2 3 6 8 2 0 5 8 10 11 10 10 10 9 9 9 9 9 10 11 12 14 16 15 11 7 6 6 4 3 4 5 6 7 8 8 7 6 6 6 5 5 5 5 5 4 4 3 4 5 6 6 6 6 6 5 5 4 3 3 3 4 4 4 5 6 8 11 13 15 18 19 16 12 9 8 10 13 12 9 5 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 10 12 11 6 2 1 1 2 3 5 7 8 9 9 9 8 9 11 12 13 13 13 11 8 6 4 4 5 4 4 4 5 5 6 6 7 7 7 7 8 9 9 9 8 6 5 4 3 3 4 5 6 6 4 4 4 5 5 4 3 3 3 3 5 6 5 5 4 4 4 6 8 9 11 12 12 11 10 10 8 5 2 1 1 3 5 4 3 2 2 2 2 2 2 2 3 2 2 3 3 4 4 5 4 5 6 7 7 7 6 5 5 10 21 30 33 27 15 7 6 8 10 7 0 -6 -5 -2 -1 1 2 2 2 2 3 5 6 7 6 6 6 10 17 19 13 9 11 13 9 6 8 8 5 4 11 12 8 4 3 5 7 13 10 2 -0 4 8 3 4 12 15 10 12 7 5 5 6 4 2 6 12 13 11 12 12 7 5 6 1 3 12 5 5 9 7 4 4 9 9 5 4 3 4 8 4 1 4 12 13 6 3 14 12 5 7 15 16 11 9 10 12 13 13 14 14 10 7 4 3 4 5 5 6 11 23 31 20 6 3 4 5 6 6 7 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 4 4 3 3 4 5 5 5 5 4 3 4 5 5 6 6 5 4 4 4 4 3 3 2 3 4 4 4 4 4 6 6 6 6 5 6 6 5 6 5 5 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 4 5 5 5 6 7 8 9 9 9 9 8 8 8 7 7 8 8 9 11 13 15 16 17 16 16 14 12 10 8 6 4 2 1 5 7 7 7 7 7 7 7 8 8 9 9 9 3 -3 2 6 6 6 6 6 7 7 7 5 3 4 4 4 4 5 5 4 3 2 4 9 3 -2 4 6 9 10 9 9 8 7 6 7 7 8 9 11 12 12 10 9 10 8 6 5 3 4 5 5 5 5 5 6 7 7 7 6 4 4 5 5 5 4 3 3 3 4 5 6 6 6 6 5 6 5 4 3 3 4 4 3 3 3 5 8 11 14 18 26 29 23 13 8 9 11 13 11 8 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 8 12 12 7 3 1 0 1 1 2 4 6 6 7 7 7 7 8 9 10 12 13 13 11 9 7 6 6 6 4 4 5 5 6 7 7 6 7 7 9 12 14 14 11 8 6 5 5 5 7 8 7 5 4 4 5 5 6 5 4 3 3 4 4 5 5 5 4 4 5 5 6 7 8 11 13 13 11 10 9 7 5 3 3 5 5 5 3 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 5 6 8 8 9 8 6 5 8 16 20 22 25 25 15 3 2 10 15 11 -1 -9 -6 -1 1 2 2 2 2 3 5 7 7 7 7 7 9 15 19 16 11 8 9 12 12 10 8 8 6 5 6 7 10 6 6 2 4 9 6 -2 1 7 7 1 3 5 7 4 9 10 4 3 6 4 2 8 14 14 15 17 16 8 1 2 -1 0 5 2 7 3 4 6 7 12 13 7 6 8 7 5 2 5 9 14 12 8 5 10 7 9 15 16 12 9 9 10 11 12 13 13 12 8 4 1 1 5 8 7 7 14 26 29 15 4 3 4 6 7 7 7 7 6 6 6 6 5 5 5 4 4 3 4 4 5 5 5 6 6 6 5 5 5 5 4 3 3 4 5 5 5 5 4 4 5 5 6 6 6 6 5 4 4 4 3 3 3 3 4 4 4 4 5 6 6 5 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 4 5 4 4 4 5 6 7 8 9 10 9 8 8 7 7 8 8 9 9 10 12 14 15 17 17 16 14 12 11 10 8 8 8 8 5 1 3 6 6 6 5 5 5 6 7 7 8 9 9 5 -1 -0 5 6 6 6 6 6 7 8 8 4 3 3 2 3 3 4 5 4 4 3 3 3 1 4 5 7 9 9 9 7 6 6 6 7 7 8 10 11 12 10 10 10 10 10 11 10 9 8 5 5 4 4 4 5 6 7 6 5 4 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 5 4 3 3 4 4 3 3 3 4 6 8 10 15 24 31 29 17 7 6 8 11 12 11 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 6 8 9 7 4 3 2 1 1 1 1 2 3 4 5 6 6 7 7 8 9 10 11 11 11 10 9 9 8 6 4 4 5 6 6 6 6 6 7 8 10 12 11 9 7 6 6 7 8 9 9 7 5 4 4 5 6 6 5 4 3 3 4 4 5 5 5 5 4 5 5 6 7 7 9 11 12 11 9 9 9 8 7 6 6 5 5 4 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 6 8 10 11 12 10 7 7 13 14 11 12 20 25 20 10 8 13 12 2 -9 -12 -6 1 2 2 1 2 2 4 6 8 8 9 12 13 14 17 16 12 14 11 7 9 11 11 10 9 8 5 4 5 3 1 2 0 1 1 -1 -3 4 11 8 1 1 2 6 9 8 8 2 1 6 6 4 7 10 12 15 17 17 11 4 3 2 3 2 -1 4 -2 -0 2 5 12 12 8 6 6 8 7 4 5 8 12 11 9 8 1 1 13 16 13 9 8 9 11 11 11 12 11 9 5 2 0 2 7 10 9 7 13 25 26 11 2 4 6 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 5 6 6 5 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 4 4 5 5 5 5 5 6 6 5 5 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 4 5 5 6 7 8 9 10 9 8 7 6 7 7 9 10 9 10 13 14 15 15 15 15 14 12 9 8 7 7 6 7 8 9 7 5 5 5 6 6 5 4 5 8 8 7 8 9 7 2 2 5 7 7 6 6 6 6 8 10 9 7 5 4 5 4 3 4 5 5 5 1 0 2 3 4 5 6 8 8 7 6 5 6 7 7 7 8 9 9 10 11 11 12 13 17 20 18 11 7 7 6 7 6 6 6 6 6 6 5 4 4 3 3 4 4 3 3 4 4 5 5 6 6 6 6 5 4 3 3 4 4 3 3 4 5 7 9 11 15 21 24 16 8 6 7 9 11 11 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 5 6 6 6 5 5 4 3 2 2 1 1 2 2 3 4 5 6 7 8 8 9 10 11 12 13 13 11 8 5 3 4 5 5 5 5 6 6 6 5 5 6 6 6 6 6 8 9 9 8 7 5 4 4 6 7 7 6 4 3 4 4 5 5 6 5 5 4 5 5 6 6 6 7 8 8 8 7 7 8 10 10 9 7 5 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 4 8 12 14 16 16 13 7 6 12 11 6 9 16 19 19 16 10 3 -7 -12 -13 -9 -2 2 1 1 1 2 3 6 7 8 8 12 16 15 12 12 11 10 17 14 8 9 11 12 12 11 8 5 6 5 -2 -1 2 2 1 0 2 2 4 9 5 0 1 5 9 10 7 6 1 -2 5 7 7 6 7 11 13 17 21 15 9 9 7 4 1 6 9 2 -1 -1 3 11 8 7 9 8 9 9 6 1 3 9 9 9 7 -2 6 19 17 11 8 7 9 11 11 12 12 10 6 3 2 2 3 7 11 10 7 10 22 26 12 3 5 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 4 4 4 5 6 6 6 5 4 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 6 6 6 5 5 5 5 5 5 5 6 7 8 9 10 9 8 7 6 6 7 8 9 10 11 12 15 15 15 14 14 13 11 10 9 8 7 5 3 0 0 7 9 6 6 5 5 5 4 2 3 9 11 8 7 7 6 3 3 6 7 7 6 6 6 6 7 8 9 9 8 7 7 6 5 5 6 6 6 3 0 1 2 3 4 5 6 7 6 5 5 5 6 6 7 7 7 6 7 8 9 10 13 18 22 20 15 11 10 10 12 16 16 13 9 8 7 7 6 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 5 3 3 3 3 3 3 2 4 6 8 9 9 11 13 10 8 7 8 9 9 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 4 4 5 5 6 7 7 7 7 6 5 3 3 3 2 1 2 3 4 5 6 7 8 9 11 12 14 15 15 12 7 4 4 4 4 4 5 5 5 4 3 3 4 5 6 6 7 8 9 9 8 6 4 3 4 6 7 8 6 5 4 4 4 5 6 6 5 5 5 5 5 5 6 5 6 6 5 5 5 6 7 8 9 8 6 5 4 3 3 3 3 3 2 2 2 2 2 3 3 3 2 3 7 13 17 18 17 14 11 5 1 8 10 4 5 10 12 13 12 1 -15 -24 -18 -9 -3 0 1 0 0 2 3 4 6 8 10 12 17 18 12 8 7 7 8 12 9 6 10 12 13 13 8 5 8 13 9 4 7 10 7 2 2 8 8 3 8 3 -0 0 2 2 0 3 7 3 -1 3 6 5 6 8 11 10 17 22 18 13 13 9 2 4 15 14 8 6 1 5 11 4 3 8 9 7 3 -1 -1 5 5 4 7 11 8 12 20 18 11 8 8 9 10 11 11 11 9 5 4 3 3 3 6 10 10 7 9 20 26 14 5 7 8 7 7 7 7 6 6 6 5 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 5 4 5 5 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 9 9 8 8 6 5 6 6 7 9 9 10 12 14 16 15 13 12 11 11 10 9 9 9 7 5 2 -3 -5 1 5 6 5 5 5 4 3 0 -1 4 11 11 7 5 3 2 4 7 7 7 6 6 5 6 7 8 8 8 7 7 7 6 5 6 6 7 6 5 3 2 2 2 3 4 5 6 6 5 4 4 5 5 6 6 6 5 5 5 6 7 10 15 19 15 13 13 14 15 18 24 26 22 15 9 7 7 7 5 5 6 7 6 4 3 4 4 4 4 4 5 6 7 7 6 4 3 3 3 4 3 2 2 5 6 7 7 7 7 6 6 6 7 9 8 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 5 4 4 4 5 5 6 8 9 9 9 8 7 6 4 2 1 1 2 3 4 6 7 9 9 11 13 15 16 15 11 7 5 4 4 4 4 5 6 5 4 4 5 5 6 6 6 6 7 8 7 5 4 4 5 6 7 7 6 5 4 4 5 5 6 5 6 5 5 5 4 5 5 5 5 5 4 5 6 6 6 6 7 8 7 6 5 4 4 3 3 3 3 2 2 2 3 3 3 3 3 5 15 23 23 16 9 6 6 4 3 5 4 -0 -2 -1 1 5 -1 -18 -31 -27 -14 -5 -1 -1 -1 -1 0 2 4 5 7 12 17 19 19 14 10 9 10 10 8 5 2 2 9 11 14 11 5 2 10 17 12 6 6 7 8 6 4 8 9 5 10 3 -0 2 3 1 -0 2 6 7 5 5 3 2 6 9 8 7 9 13 14 12 10 6 2 10 14 5 1 4 6 12 11 1 -5 0 6 6 3 -1 2 7 5 2 5 15 23 19 14 13 11 8 8 8 9 10 10 10 8 5 4 4 3 3 4 8 9 8 11 22 24 15 8 8 8 8 7 6 6 6 6 6 5 5 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 6 6 6 6 6 6 6 5 5 5 5 4 5 6 6 6 6 7 7 6 6 7 6 6 6 6 5 5 4 4 5 5 6 7 7 7 8 8 8 7 6 5 5 6 7 7 8 9 10 13 15 16 14 12 10 9 8 8 7 7 6 5 5 2 -1 -0 1 3 5 4 4 4 4 3 -0 -4 -2 6 10 7 4 1 1 5 7 7 6 7 6 6 6 6 7 7 8 7 7 7 6 6 6 7 7 7 6 5 4 3 3 2 3 3 5 6 6 5 4 3 4 4 4 5 5 5 5 5 5 6 9 10 10 11 12 13 15 18 23 27 24 17 11 9 8 6 6 8 10 11 11 9 6 5 4 3 3 4 4 5 6 7 7 6 4 2 2 3 3 2 2 2 4 5 5 6 6 5 6 7 6 7 7 7 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 7 6 5 5 5 5 6 8 10 10 10 11 11 10 8 5 3 2 2 3 4 5 6 7 8 8 10 12 14 15 13 11 8 7 5 4 4 5 6 5 5 5 6 7 7 6 6 5 6 6 5 5 4 4 5 6 7 8 7 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 7 7 8 8 7 6 6 5 4 3 3 3 3 3 4 3 3 4 3 4 13 24 27 19 8 -0 -1 3 5 4 2 2 1 -3 -8 -8 -9 -17 -28 -30 -17 -8 -3 -2 -2 -2 -1 1 3 5 7 12 20 22 18 12 8 7 11 15 15 12 7 3 1 3 9 13 9 5 3 7 11 6 6 10 9 10 8 6 7 8 9 10 1 0 9 9 5 3 3 6 8 9 6 1 0 7 11 8 7 -1 4 9 8 8 7 8 13 9 1 -0 -0 3 13 13 2 -4 -1 3 7 8 8 7 8 7 7 10 17 23 18 12 10 9 7 6 7 9 9 9 9 7 4 4 4 2 2 4 7 9 9 16 24 21 12 7 8 9 8 6 6 6 6 6 6 5 6 6 5 5 5 6 5 5 5 5 4 5 4 5 5 5 5 5 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 3 3 5 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 7 7 6 6 6 5 5 4 4 5 5 6 6 7 7 8 8 8 7 5 5 5 5 6 7 7 8 9 10 13 16 15 13 10 8 7 6 6 5 4 3 2 3 2 4 5 3 4 4 4 4 4 4 4 2 -0 -1 3 7 7 3 1 3 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 6 5 4 3 3 2 3 4 5 5 4 3 3 3 3 4 4 4 4 5 5 5 5 4 6 8 10 10 12 13 14 17 19 16 15 14 11 9 9 11 13 15 15 15 13 10 7 5 4 3 3 4 5 6 8 8 6 4 2 2 4 3 1 1 3 4 5 4 4 5 6 7 7 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 8 8 8 8 7 7 8 9 10 10 9 7 6 8 11 12 11 8 6 5 4 4 4 4 5 6 6 6 8 10 13 13 12 12 12 11 9 6 5 5 6 6 6 7 7 7 7 6 6 5 5 5 4 5 5 5 5 6 7 8 7 5 4 3 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 7 7 8 9 9 8 8 7 7 5 4 3 4 4 4 4 4 4 4 3 9 20 22 16 11 5 -2 -1 3 2 -3 2 16 21 11 1 -3 -8 -15 -19 -16 -8 -5 -4 -4 -2 -1 1 3 6 8 13 20 23 18 11 6 5 8 13 16 16 16 13 9 4 -0 6 14 11 6 5 6 9 7 11 14 12 9 7 10 9 7 11 4 -1 4 13 10 4 3 3 4 8 8 5 -0 1 8 12 8 1 -2 10 11 4 2 6 11 14 11 9 8 2 -3 10 17 8 6 4 2 6 12 11 10 12 13 14 16 17 16 12 10 9 8 6 5 7 9 9 9 8 5 3 4 4 3 3 4 6 7 9 17 23 20 11 7 8 9 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 7 6 5 5 4 4 4 4 5 4 4 5 5 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 7 7 6 6 6 6 5 5 4 4 5 6 7 6 7 7 8 8 7 5 5 5 5 5 6 7 7 7 8 10 14 16 14 11 9 7 6 5 4 4 3 2 2 3 3 6 5 4 4 4 4 4 4 4 4 4 4 4 4 6 5 3 1 5 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 3 2 2 3 5 5 5 4 3 3 3 3 4 4 5 5 5 5 4 3 3 4 6 8 8 9 9 10 11 13 15 16 15 15 14 14 14 15 17 18 20 20 17 13 9 6 5 4 5 6 7 7 6 5 3 2 3 3 3 1 2 3 4 4 4 5 6 6 6 7 7 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 8 9 11 14 16 13 8 3 1 2 6 9 9 8 8 8 7 6 5 4 5 5 6 6 6 8 11 11 10 10 13 15 14 9 6 6 7 7 7 7 7 6 6 6 5 5 4 4 5 5 6 6 6 6 6 7 7 5 4 3 3 4 4 5 5 5 5 6 6 7 7 7 6 4 4 4 5 6 6 7 8 8 8 8 7 8 8 7 6 5 4 5 5 5 5 5 4 9 20 23 14 7 8 4 2 4 6 0 -9 8 24 28 20 10 4 -1 -9 -11 -7 -7 -7 -5 -3 -0 2 5 7 9 12 19 23 19 12 8 6 6 9 12 13 14 16 13 12 8 3 6 13 11 6 5 7 9 10 7 5 5 5 8 15 13 8 8 -0 1 5 7 7 5 3 2 3 6 7 4 1 3 9 13 8 -6 1 15 10 4 0 3 8 13 13 13 6 -2 4 15 13 10 11 6 2 6 10 10 12 15 16 18 19 15 10 9 9 9 7 5 5 6 7 8 9 8 5 3 3 4 5 4 4 4 4 7 12 19 22 17 10 8 8 7 6 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 6 6 5 5 4 4 4 4 5 4 4 4 5 6 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 7 7 7 6 6 5 5 4 4 5 5 7 7 7 6 7 7 7 6 5 4 4 5 5 6 7 7 6 7 11 15 16 13 10 7 6 4 4 3 3 3 4 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 4 5 5 3 1 2 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 5 4 3 3 4 5 6 6 5 5 4 4 4 5 6 6 5 5 4 4 4 3 3 5 6 6 8 9 9 9 11 13 14 15 16 14 14 15 17 20 24 26 25 21 16 12 11 9 7 6 6 7 7 6 4 3 3 3 3 2 2 2 3 4 5 5 5 6 6 6 6 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 8 7 6 6 6 8 11 15 17 13 7 2 0 -0 2 5 6 7 8 8 9 8 6 5 5 5 5 6 6 7 9 10 9 7 10 13 13 10 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 6 7 6 6 6 7 6 4 4 4 4 4 4 5 5 6 5 6 7 7 6 5 5 4 4 4 5 6 6 7 7 7 7 7 7 8 8 7 6 5 6 7 7 7 7 10 18 23 17 8 4 1 1 6 8 6 -4 -9 11 17 18 15 1 -8 -12 -16 -14 -9 -7 -6 -2 2 6 8 10 11 11 15 21 20 14 10 11 12 9 8 8 8 12 15 10 10 9 3 5 9 8 5 6 6 4 5 1 -1 0 5 10 12 11 10 9 2 5 8 4 6 8 7 3 2 5 7 6 5 4 6 11 9 -3 3 10 10 8 4 5 10 13 11 9 0 -6 11 20 7 2 8 8 5 5 6 8 10 13 15 16 15 13 10 9 9 7 6 6 6 6 5 6 9 9 6 3 2 3 5 6 5 3 3 4 7 15 25 24 14 8 8 7 6 6 5 6 6 6 6 6 5 5 5 6 6 5 5 5 6 5 5 5 5 5 4 4 5 6 6 6 6 5 4 4 4 4 4 5 4 5 4 5 5 5 5 4 3 3 3 4 5 5 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 7 6 7 6 6 6 5 5 5 4 5 6 6 6 6 6 6 6 6 5 4 4 4 4 5 6 6 5 5 7 12 16 16 13 9 6 4 4 3 3 3 2 2 4 8 9 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 1 -0 3 6 7 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 7 6 4 4 4 5 6 7 6 6 5 6 5 6 7 7 6 5 4 4 4 4 3 3 4 5 6 6 6 7 7 8 9 10 11 11 12 14 17 20 22 24 23 19 15 15 16 16 14 11 8 7 6 6 4 4 3 3 2 2 2 2 3 4 5 5 5 5 6 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 9 8 7 6 6 8 13 15 12 7 4 2 2 3 4 5 5 6 7 8 8 7 6 5 5 6 6 6 7 8 9 8 6 5 6 7 7 8 7 6 6 6 6 6 6 5 5 5 5 6 6 5 6 6 7 8 7 6 6 6 6 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 8 10 13 18 17 9 4 2 -2 -2 4 12 11 2 -7 -6 3 7 7 2 -19 -27 -27 -20 -12 -6 -2 2 6 10 12 13 13 14 13 17 21 16 11 11 13 14 10 5 3 4 13 15 9 8 8 3 2 7 9 7 7 6 -1 -0 2 2 0 8 11 8 10 13 10 6 10 11 8 8 9 7 5 4 5 6 8 9 5 4 7 7 3 1 2 10 8 4 9 15 16 11 5 -2 0 14 16 6 -1 4 5 2 3 5 9 10 10 12 12 10 9 11 12 10 7 7 7 7 6 5 5 8 9 8 5 2 2 5 6 5 3 2 3 5 13 26 28 15 5 6 7 7 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 4 4 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 5 4 4 4 5 5 5 5 4 4 4 5 5 6 6 6 6 7 6 6 5 6 5 4 5 5 6 6 6 6 6 6 5 5 4 4 4 3 4 4 5 5 4 5 7 12 16 16 13 8 5 4 4 4 4 3 2 0 -3 2 8 6 5 6 6 6 6 6 5 6 5 5 5 4 4 4 2 0 3 6 7 7 7 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 8 7 6 6 6 6 7 6 6 6 7 7 7 7 7 6 5 5 4 4 4 4 3 2 3 3 3 3 4 5 5 6 6 5 7 9 12 13 15 17 18 16 12 9 11 14 16 17 17 14 10 7 6 5 4 4 3 3 3 3 2 3 4 5 6 5 4 5 6 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 10 11 12 11 8 7 6 8 11 11 8 6 6 5 5 5 5 5 5 6 7 7 7 6 5 5 6 6 7 7 8 8 8 6 4 3 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 7 6 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 6 6 6 6 6 7 7 6 5 5 5 5 4 4 4 4 4 5 5 6 6 7 10 13 11 3 -5 -6 -9 -6 6 13 16 10 3 -1 -1 -5 3 3 -9 -22 -21 -15 -7 -1 4 8 11 14 15 16 17 19 21 19 21 19 13 8 8 10 11 8 3 0 5 14 13 8 8 11 9 4 4 6 8 10 6 1 -0 3 4 3 9 7 4 10 11 8 12 16 13 10 10 10 8 6 6 6 4 5 8 7 6 4 3 5 4 4 8 4 6 14 20 21 16 5 -1 7 15 9 7 6 5 1 -2 2 6 8 8 9 10 8 4 4 9 14 12 10 8 7 7 6 4 5 8 10 10 7 4 2 4 6 5 3 2 3 6 15 28 27 14 4 4 6 7 6 5 6 6 6 6 6 6 6 7 6 6 5 6 6 6 6 6 5 5 5 4 5 6 6 6 6 5 5 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 6 6 5 5 4 4 4 3 3 3 4 4 4 4 4 5 7 12 16 17 13 8 5 5 5 6 5 4 2 0 -3 -1 4 6 5 6 6 5 6 6 6 5 5 5 5 5 4 4 5 5 5 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 9 10 10 10 9 8 7 6 7 7 7 7 7 7 8 9 9 7 6 5 5 4 4 5 4 3 2 2 2 1 2 2 2 2 3 4 3 3 4 6 8 10 12 13 11 10 9 9 10 12 15 18 20 16 10 7 6 5 5 4 3 4 4 3 3 4 5 6 5 3 4 6 6 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 10 13 14 14 12 10 7 7 8 9 9 8 8 8 8 7 6 6 5 6 6 6 7 6 6 5 5 6 7 8 7 8 8 7 5 5 5 6 6 5 5 5 4 4 5 6 6 5 5 5 4 4 5 7 7 8 8 8 7 6 5 5 5 6 6 5 4 4 4 4 5 5 4 5 5 6 6 6 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 4 5 8 10 9 3 -2 -3 -5 -6 4 14 14 11 7 7 7 2 -2 5 4 -4 0 6 10 11 13 15 17 17 18 18 18 20 24 25 22 19 17 12 7 5 5 9 11 6 1 3 11 11 7 7 12 14 9 3 1 7 9 6 5 3 2 4 9 8 1 -2 2 4 6 13 17 14 11 11 11 9 9 11 8 4 3 4 7 8 1 -2 5 12 12 8 4 6 12 17 19 12 2 2 11 12 5 6 9 5 0 1 7 9 6 7 9 9 4 2 3 7 12 12 10 9 8 7 5 4 5 8 10 10 9 6 3 3 4 4 2 2 5 8 17 24 21 14 7 4 5 6 5 5 5 5 6 6 6 6 7 6 7 7 7 6 6 6 6 6 6 6 5 4 5 6 7 6 5 5 4 4 3 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 3 3 4 4 6 10 15 18 15 9 5 6 6 6 5 4 3 5 5 3 4 5 5 5 5 5 5 5 5 5 5 6 7 6 5 3 5 7 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 8 7 7 7 8 8 8 9 10 10 10 10 9 8 7 8 8 8 7 8 9 10 10 8 6 6 6 5 4 5 5 4 3 3 3 2 1 1 2 1 1 2 2 2 3 3 4 6 9 10 9 10 11 11 11 12 14 18 22 22 16 10 7 6 5 5 5 5 4 4 3 4 5 6 5 4 4 5 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 11 12 13 14 14 13 11 9 8 7 7 7 8 8 9 7 7 6 6 6 5 6 6 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 6 5 5 5 4 5 6 6 6 5 5 4 4 5 6 7 7 7 7 7 6 5 5 6 6 6 6 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 6 6 5 4 8 14 13 9 6 4 4 3 5 10 11 8 4 4 9 10 7 6 7 7 7 17 23 24 22 22 21 19 17 16 16 19 21 21 17 14 13 13 12 8 6 8 12 15 10 4 2 5 5 5 6 8 9 10 9 5 6 5 4 6 6 4 6 9 3 1 1 1 2 5 8 10 12 14 14 11 8 11 14 8 5 3 3 8 9 2 -0 8 16 18 9 0 -1 6 14 14 3 3 8 11 7 1 2 4 2 3 9 13 11 7 5 8 8 7 6 5 6 10 10 9 8 7 7 5 4 5 7 9 9 9 8 5 4 3 3 1 2 5 8 12 16 18 19 14 8 5 5 5 4 4 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 6 7 7 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 3 4 4 4 5 5 5 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 6 9 14 17 16 11 6 5 6 5 4 4 5 8 9 5 5 6 5 5 5 4 4 4 4 4 5 6 7 7 5 3 4 7 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 8 7 8 8 8 8 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 8 9 10 11 10 8 7 8 8 8 6 5 5 5 5 4 5 5 4 3 3 3 2 2 2 3 3 4 4 4 6 8 8 8 10 11 12 13 15 17 21 24 22 16 12 9 7 6 5 5 5 4 4 4 5 6 5 4 3 3 4 5 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 12 11 11 10 11 12 14 14 13 11 8 7 6 6 6 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 8 8 8 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 6 6 8 8 7 7 7 5 4 5 6 6 7 6 6 5 4 4 4 4 4 5 5 6 6 6 6 6 5 6 6 6 7 7 6 6 5 5 7 8 8 7 7 6 8 6 4 7 10 9 7 6 4 6 9 7 1 4 11 11 8 6 5 7 13 22 29 27 24 21 17 13 11 12 15 18 18 13 9 9 9 10 10 8 8 12 18 19 11 5 4 3 3 4 7 5 5 12 15 11 9 4 3 5 5 8 13 12 2 4 6 3 4 4 4 6 11 16 15 12 9 9 8 6 8 4 2 6 9 5 4 8 14 15 10 2 1 4 14 11 2 12 15 9 2 -2 -0 4 3 3 9 11 9 5 5 7 10 13 11 8 8 10 9 9 7 6 8 8 6 5 6 7 7 7 8 9 6 3 1 1 3 5 7 8 10 16 20 18 16 13 7 4 4 4 4 4 5 5 6 6 7 6 6 6 6 6 5 5 7 7 5 5 6 7 8 7 6 5 5 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 4 4 3 4 4 3 3 3 4 4 4 3 4 5 8 12 17 17 12 7 5 5 4 3 4 6 8 8 6 6 7 6 5 4 4 4 4 4 4 4 5 7 7 4 4 5 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 10 10 11 11 10 9 8 8 8 9 10 11 9 8 8 9 10 10 9 8 7 7 7 6 6 7 7 6 6 6 6 5 5 5 4 4 4 4 4 5 6 7 8 10 11 13 15 18 20 21 21 19 15 13 12 9 6 5 5 5 4 3 4 5 5 4 3 2 3 3 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 10 9 9 10 11 13 14 14 13 12 9 7 6 5 6 6 5 5 5 5 5 6 6 6 7 7 8 8 8 9 9 9 8 8 7 6 6 6 7 7 6 6 6 5 5 6 6 6 6 6 6 6 7 8 8 7 7 6 5 4 5 5 6 7 8 7 6 5 4 4 4 4 4 4 5 6 6 6 5 5 6 8 10 11 9 6 5 5 5 6 8 8 8 8 8 5 -1 0 8 10 10 7 5 3 7 13 7 -1 6 17 17 7 4 8 12 17 20 20 16 12 8 5 5 8 12 16 16 12 8 9 9 9 11 11 9 7 13 20 19 7 5 6 6 5 3 5 5 8 13 14 15 14 9 8 9 5 7 14 13 6 5 7 7 4 4 6 6 8 13 14 13 12 9 6 7 6 1 -1 4 8 6 3 3 9 12 11 10 10 6 9 4 4 14 15 6 -2 -2 3 8 9 5 4 7 5 2 4 9 13 14 12 10 11 10 9 7 6 6 10 11 9 7 6 7 6 5 6 9 9 6 3 3 4 4 5 7 8 10 13 17 22 21 11 6 6 4 3 4 4 5 5 6 6 6 6 5 5 4 5 6 7 7 5 5 6 7 8 8 6 6 5 4 4 4 4 4 4 3 2 3 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 5 7 11 15 17 14 8 5 4 3 3 4 5 7 7 6 6 7 5 4 3 3 4 4 4 3 3 4 5 4 1 3 7 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 11 10 9 8 8 8 9 8 7 7 8 8 9 11 11 11 10 10 9 7 7 7 7 7 7 8 8 8 8 7 6 4 3 3 4 4 5 6 7 8 9 10 13 17 19 18 18 17 15 15 15 13 10 7 7 6 5 4 4 4 5 5 4 2 2 2 3 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 9 8 7 7 8 9 11 14 17 18 16 12 10 8 7 7 6 5 4 4 4 5 5 6 8 9 11 10 8 8 8 9 9 8 7 6 6 6 7 8 7 7 6 6 6 6 6 7 6 6 6 6 7 7 8 7 7 6 5 4 4 5 6 7 9 9 8 6 5 4 4 4 4 5 6 6 6 5 5 5 7 10 12 12 9 6 5 6 6 6 7 8 8 9 9 9 8 8 8 8 9 7 4 3 8 11 5 -1 10 28 31 19 9 11 11 7 4 -0 -3 -3 -1 1 5 13 17 16 11 6 5 7 8 9 11 14 13 11 12 16 14 5 4 7 7 9 6 5 5 9 8 7 12 12 12 12 10 6 6 7 8 8 7 11 10 4 8 7 5 5 8 12 13 12 8 6 6 1 -2 -0 3 7 8 5 4 10 11 10 13 14 10 6 -0 2 10 12 5 -2 1 7 10 12 9 6 6 3 1 6 11 12 12 12 12 10 8 8 7 7 7 10 12 11 9 8 7 5 4 4 6 8 9 8 7 5 4 4 6 6 6 8 14 21 20 11 12 13 7 3 3 4 4 5 6 6 6 6 5 4 3 4 5 7 7 5 5 6 8 8 8 7 6 6 5 5 4 4 4 4 2 1 2 6 8 8 6 5 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 9 13 17 15 10 5 3 3 3 4 5 8 9 7 5 6 5 4 3 3 3 4 5 4 3 4 5 3 -3 -0 7 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 7 7 8 8 9 9 8 8 8 9 10 11 11 11 11 10 9 9 8 8 8 7 6 5 5 5 6 6 8 9 9 10 10 9 7 6 6 6 6 6 6 7 8 8 8 6 4 3 2 2 3 4 5 6 6 7 8 11 14 16 16 16 15 13 13 14 15 16 13 10 8 7 5 4 5 5 5 5 4 3 2 3 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 20 16 9 6 2 1 7 17 21 14 10 10 12 10 10 7 7 9 11 18 20 19 13 12 12 16 16 14 17 18 14 2 2 2 -1 6 10 11 9 6 4 17 16 11 13 15 16 16 17 16 13 11 11 7 8 10 13 14 15 16 16 18 19 19 17 11 5 2 3 10 14 16 15 15 15 14 13 12 12 14 16 17 18 16 13 8 5 6 9 11 12 12 11 9 9 10 10 10 10 10 10 10 9 9 9 10 11 12 13 12 12 13 13 12 12 12 12 13 14 14 13 14 13 13 12 12 11 11 10 10 11 11 13 14 13 12 12 13 13 12 11 11 11 11 9 8 10 14 19 21 18 11 9 13 14 14 14 14 14 14 13 12 11 12 12 13 15 15 14 14 13 13 12 13 13 14 14 13 13 12 12 12 12 12 11 11 12 13 14 13 13 12 11 11 13 15 15 15 14 14 14 14 14 14 14 13 13 13 15 15 15 14 14 15 19 19 16 16 16 16 17 18 19 20 21 23 24 24 23 22 21 20 20 20 20 20 21 22 22 20 19 19 18 18 17 16 15 14 17 19 16 15 16 16 16 17 18 18 17 17 16 17 17 18 18 18 18 17 18 18 18 18 17 16 14 13 12 12 12 12 11 11 10 10 9 9 10 11 12 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 12 12 14 15 15 14 13 11 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 11 11 12 11 10 11 11 12 13 14 13 13 13 12 12 12 12 11 11 11 14 17 16 15 14 13 13 13 14 13 12 12 11 12 11 12 13 13 13 13 14 14 14 14 16 17 14 12 11 13 15 16 14 13 12 11 10 9 9 6 2 -2 1 9 18 22 23 24 21 16 15 14 13 12 11 12 12 12 13 13 14 14 14 14 14 13 13 14 14 15 16 16 15 14 14 13 14 15 15 15 15 15 15 15 17 17 16 15 16 16 16 16 15 14 13 13 14 14 15 15 15 14 14 15 16 16 16 16 15 14 14 14 13 12 12 12 13 nan
nan nan nan nan nan nan nan 14 19 16 12 6 6 9 13 12 8 6 10 15 18 20 17 11 9 12 13 17 18 18 17 14 9 1 -1 3 10 14 15 11 5 6 12 13 14 14 12 10 12 14 15 15 15 12 10 11 15 17 17 14 13 13 13 15 18 19 18 13 8 7 10 13 14 14 14 13 11 9 7 6 8 12 16 20 20 14 8 7 8 10 11 11 10 10 11 10 10 9 7 7 7 7 6 7 8 11 12 13 14 14 13 12 12 13 12 12 13 13 13 13 14 14 13 13 13 13 11 10 10 10 11 10 10 12 13 13 13 14 14 13 12 11 10 10 11 12 13 15 16 18 17 14 10 10 12 12 13 14 15 16 15 13 12 12 13 13 13 13 14 14 13 13 13 13 13 13 13 13 14 13 11 12 12 11 11 11 10 12 14 14 13 13 12 12 13 13 15 16 16 15 14 14 13 14 14 14 13 13 14 15 15 14 13 11 12 21 22 17 17 17 17 17 18 17 17 18 18 17 17 18 18 19 17 15 15 15 16 18 19 20 20 18 17 17 17 16 15 13 11 12 15 14 14 15 16 17 19 21 21 19 16 15 15 16 16 16 16 15 15 15 16 16 16 15 15 14 14 13 13 12 12 11 10 10 11 11 11 12 12 11 10 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 11 12 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 10 9 9 10 10 10 11 10 10 12 12 13 13 13 13 13 13 12 12 12 11 12 12 11 11 11 12 12 12 12 11 12 12 13 13 13 13 12 12 12 13 12 11 11 13 16 15 14 13 14 14 14 14 13 11 10 10 11 11 12 13 12 12 13 13 13 13 13 13 14 16 15 13 14 19 22 21 15 12 11 10 9 10 10 8 6 7 14 22 30 26 18 17 17 16 15 14 13 12 11 12 13 13 13 13 13 14 15 15 14 14 14 14 15 15 15 14 14 14 14 14 16 16 15 14 15 15 17 18 18 15 13 13 15 16 16 16 15 14 13 14 14 14 15 15 14 14 14 15 16 16 15 15 15 13 13 13 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 8 7 13 15 16 16 15 13 12 7 7 16 15 13 15 17 14 11 8 8 12 19 21 18 13 9 6 9 11 12 12 12 11 12 12 14 15 12 11 12 15 19 19 15 14 13 14 15 17 18 19 16 12 13 14 16 15 14 13 11 10 8 7 7 7 8 11 14 16 15 12 9 8 9 10 10 10 12 13 14 13 12 9 7 7 6 4 5 8 10 12 14 14 13 12 12 12 12 13 14 14 13 13 13 14 14 14 13 13 13 12 10 9 10 9 10 11 11 13 14 14 14 14 13 12 12 11 10 10 13 14 15 15 14 13 13 13 13 12 12 12 13 15 15 14 13 13 14 13 14 14 12 12 13 14 14 13 13 13 13 13 14 13 12 12 12 12 12 11 11 11 12 14 14 13 12 9 6 7 13 22 24 19 16 14 14 13 14 14 13 12 13 15 15 15 15 14 11 12 16 19 16 16 17 18 17 17 17 17 17 16 15 14 14 16 17 16 14 13 12 12 14 16 18 17 15 14 14 15 17 19 18 15 13 14 15 15 14 13 13 16 19 21 20 16 15 15 15 15 15 15 15 15 14 14 14 15 14 15 15 14 14 14 13 13 12 11 11 13 12 12 13 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 10 10 11 11 11 11 11 12 14 15 15 12 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 14 14 14 13 13 13 12 12 11 11 11 11 11 11 11 12 13 12 12 11 11 12 12 13 13 13 12 12 12 12 12 12 12 14 14 13 12 12 15 15 11 10 7 5 5 8 12 12 12 12 11 11 12 12 12 12 12 12 12 15 18 20 20 20 21 18 14 12 10 9 9 10 10 10 12 13 17 19 20 17 14 13 14 15 14 14 13 12 12 13 13 14 14 13 13 14 15 15 13 13 13 14 15 15 15 14 14 15 16 16 16 16 15 14 15 16 19 20 19 14 10 12 14 16 16 14 14 14 14 14 15 14 14 15 14 14 15 15 16 15 15 14 13 13 13 12 12 12 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 9 6 4 12 18 19 12 11 13 22 22 13 11 12 18 20 16 11 9 6 5 9 12 13 14 14 12 9 12 13 10 10 12 15 19 20 16 13 11 11 12 13 13 14 14 16 18 18 17 15 13 11 10 9 9 10 10 9 8 7 9 14 18 13 9 9 9 9 10 13 14 15 15 16 15 13 12 9 7 5 5 8 10 11 13 13 12 12 11 11 12 13 13 13 13 13 13 13 15 15 14 13 12 10 10 10 9 9 11 13 13 13 14 13 13 13 13 11 11 12 11 12 12 13 14 13 12 12 13 14 14 13 13 13 13 13 13 13 12 13 13 14 14 13 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 10 12 13 13 13 13 11 9 3 0 4 17 28 29 26 19 16 14 14 14 13 13 13 13 14 15 15 16 15 14 13 13 13 15 17 17 16 18 18 17 17 17 16 15 14 14 15 16 15 13 12 11 11 13 16 17 16 15 14 14 13 18 22 17 14 15 15 15 13 11 6 4 8 13 17 18 17 17 16 15 16 16 16 15 15 15 15 15 16 16 16 16 15 15 13 13 13 13 13 13 12 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 12 11 11 12 11 11 12 12 13 15 15 14 12 11 9 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 12 13 13 14 15 15 14 13 12 12 12 12 12 11 11 11 11 11 11 12 11 12 13 12 11 11 12 12 12 13 12 12 12 12 12 12 12 12 13 12 13 14 14 14 12 7 4 3 5 8 11 13 14 12 11 11 12 12 13 12 11 12 12 13 15 19 23 23 18 15 13 12 11 11 10 10 10 10 11 12 12 12 13 12 13 14 14 14 15 15 13 13 12 12 13 14 14 13 13 13 14 14 14 13 13 14 16 16 16 15 15 15 14 15 16 15 15 15 15 16 17 19 21 16 12 10 12 14 15 14 13 14 14 14 14 14 14 14 14 14 15 15 15 16 15 15 15 14 13 13 12 12 12 11 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 17 8 9 19 18 14 9 9 11 12 10 8 8 10 10 10 10 13 14 13 11 10 12 13 12 12 12 14 17 18 16 11 9 7 5 5 6 7 9 13 15 14 14 13 10 8 8 8 9 10 11 9 8 9 11 15 17 11 8 8 7 9 12 14 14 14 14 15 15 14 13 11 8 6 7 9 9 11 12 12 11 11 10 10 12 12 12 12 13 13 12 13 14 14 13 13 12 11 11 10 10 10 12 14 14 14 14 13 13 12 13 13 12 12 12 12 13 13 13 13 11 12 13 14 14 14 14 13 13 13 12 12 12 13 13 14 14 14 13 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 12 12 12 12 12 12 12 10 8 3 1 5 15 23 28 30 24 18 15 13 13 13 13 13 14 14 15 16 16 14 14 13 13 14 16 16 15 17 19 19 19 18 17 18 16 15 15 16 15 14 14 13 12 12 14 17 18 18 16 13 10 13 19 17 15 15 14 14 15 15 11 6 6 9 12 15 17 17 17 16 15 15 16 16 16 16 16 16 16 16 17 16 16 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 12 12 12 12 12 13 15 15 15 13 10 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 8 8 9 10 11 12 12 13 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 14 15 15 15 14 12 9 8 8 10 13 14 14 14 13 12 11 12 12 13 13 12 12 11 12 14 17 19 20 19 16 14 12 12 11 10 9 10 10 10 11 11 11 11 12 13 13 14 14 15 15 13 13 12 11 11 13 14 14 14 14 13 14 14 14 13 14 16 16 16 16 16 15 14 14 15 15 15 14 14 14 16 17 18 21 18 12 11 11 13 13 14 14 14 14 13 13 14 15 16 15 15 15 14 15 15 15 16 15 14 14 13 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 10 13 13 13 13 12 9 8 8 9 12 12 12 14 15 15 14 13 13 14 16 15 14 13 9 5 5 5 6 7 8 8 9 9 10 10 10 9 8 8 8 8 9 11 12 15 18 14 7 5 7 9 11 13 13 11 11 13 14 14 14 13 12 8 4 3 6 9 11 11 11 11 10 9 9 11 12 12 13 13 13 12 12 13 13 13 13 13 12 11 10 10 12 13 13 14 15 14 13 12 12 13 13 13 12 12 12 12 13 13 13 13 12 12 14 15 15 15 14 12 12 12 12 13 13 13 14 14 14 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 12 13 12 11 12 12 12 12 14 11 5 2 2 9 17 33 35 22 15 14 13 13 12 13 14 14 15 16 15 15 14 14 13 14 15 15 14 13 17 23 27 24 19 21 20 18 17 16 14 13 13 13 13 12 13 14 16 16 16 14 12 13 14 16 16 15 15 15 15 16 16 13 11 9 9 11 13 15 16 16 15 15 16 17 16 16 16 16 15 15 14 15 15 14 14 14 13 13 13 13 13 12 12 12 12 12 11 12 12 12 12 11 12 11 12 13 13 13 14 14 15 16 16 16 14 11 9 9 9 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 12 13 13 14 14 14 13 12 11 12 12 12 12 12 12 12 12 12 13 12 12 12 11 10 10 10 11 12 12 12 11 10 10 11 12 12 12 12 12 13 12 12 14 16 17 16 14 12 11 10 10 11 14 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 14 16 20 21 18 15 13 12 11 10 9 10 10 11 11 11 11 11 12 13 14 13 13 14 14 13 13 12 11 12 12 13 13 14 14 14 15 15 15 14 13 15 16 16 16 15 14 14 15 15 15 15 14 13 13 14 15 17 19 20 19 16 13 11 11 12 15 16 15 12 12 12 13 14 15 15 15 15 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 10 12 12 12 12 12 12 13 14 14 15 16 15 17 18 19 17 14 11 8 7 9 11 12 11 12 13 14 13 12 11 10 9 11 15 18 20 20 11 5 4 7 10 12 13 12 11 11 12 13 13 13 13 13 9 4 1 5 10 11 13 13 13 10 8 8 10 12 12 12 13 13 13 12 12 13 13 13 12 12 11 11 12 13 13 13 14 14 13 12 11 11 12 13 13 13 12 12 12 12 14 14 13 13 13 13 14 14 15 15 13 12 13 13 13 13 13 13 14 14 14 13 13 12 12 12 12 12 13 14 14 14 14 13 13 12 12 12 12 12 12 11 12 12 12 12 13 14 13 9 3 -2 3 26 40 30 22 16 13 13 13 13 14 14 14 16 16 15 15 15 14 14 15 15 10 6 5 17 30 29 23 25 22 19 18 17 15 13 12 12 13 13 12 12 13 14 14 14 14 14 14 14 14 14 14 13 13 13 14 13 12 11 10 10 10 12 15 16 16 16 15 16 16 16 16 16 16 15 15 15 15 15 14 13 13 13 14 13 12 12 12 12 12 12 12 12 13 13 13 14 14 15 16 16 17 17 18 19 18 16 15 13 10 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 9 10 12 12 13 12 13 14 14 15 14 14 12 10 9 10 11 11 11 11 12 12 12 12 12 12 12 12 10 10 10 11 12 13 13 13 12 11 11 10 11 12 12 13 13 13 13 13 15 16 15 11 9 9 10 11 11 11 13 14 13 12 13 13 13 13 12 12 12 12 11 12 12 12 14 17 21 22 20 16 12 11 10 9 10 10 10 11 11 10 11 11 11 13 14 14 14 14 13 12 12 12 13 13 13 13 13 14 14 14 14 15 15 14 15 16 15 14 14 13 14 15 15 15 15 16 15 14 13 13 13 14 17 19 19 18 14 13 13 13 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 6 6 6 5 5 5 5 5 5 4 3 3 4 6 8 13 18 22 30 39 43 42 40 39 39 40 39 38 40 40 35 30 22 14 12 14 18 19 15 14 12 17 23 25 24 23 23 22 22 21 20 19 18 18 18 15 13 10 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 2 10 19 30 38 43 43 41 40 39 39 38 31 18 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 6 14 14 13 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 2 4 7 14 18 16 11 10 12 14 16 16 13 10 10 12 19 31 39 38 40 52 63 67 75 79 80 78 73 74 74 77 75 65 51 37 24 13 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 22 50 87 116 124 124 120 123 130 131 126 118 102 85 81 77 59 46 56 76 85 89 88 80 72 63 53 48 48 48 43 40 43 51 62 73 87 113 147 166 170 166 164 159 159 164 168 173 174 169 158 nan nan nan nan nan nan nan nan nan nan nan nan 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 5 5 5 5 5 5 5 5 5 5 4 5 6 7 9 12 16 23 31 36 38 37 35 34 34 34 33 34 33 30 26 22 16 14 15 16 16 12 8 8 9 12 13 13 14 15 16 18 17 15 15 15 14 12 11 9 7 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 10 21 28 34 37 36 34 34 35 38 40 36 21 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 2 10 16 16 14 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 3 6 10 16 18 14 6 3 3 4 6 7 6 4 2 1 4 10 19 28 30 33 37 41 49 55 56 58 49 40 49 58 65 65 61 55 43 30 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 38 84 103 118 122 118 123 127 127 126 126 122 120 113 106 105 110 118 122 124 118 107 101 92 78 70 64 57 52 57 64 73 81 92 114 153 168 157 150 152 156 152 152 156 163 168 170 167 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 4 4 4 5 5 4 5 5 5 6 6 6 6 6 6 7 9 10 12 17 24 30 34 34 30 30 29 28 26 25 23 21 20 17 15 15 17 18 14 8 6 5 6 6 8 8 8 8 8 9 8 8 9 9 8 6 4 4 2 2 2 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 24 27 29 27 24 22 25 28 32 30 16 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 2 8 9 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 12 19 19 13 4 2 0 0 1 1 0 0 0 0 0 1 6 22 26 29 32 35 37 40 42 44 40 34 31 34 41 48 55 58 54 47 41 35 26 15 8 5 3 1 1 4 5 2 0 0 0 0 0 0 0 0 0 0 13 62 97 116 130 125 122 123 124 126 130 133 133 127 125 128 128 129 126 119 116 118 119 120 114 101 88 74 71 78 84 92 99 114 138 165 161 144 135 142 151 152 146 146 156 166 168 166 163 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 9 12 14 17 20 21 21 20 22 22 22 22 22 21 19 16 14 12 11 13 15 14 10 6 4 3 3 4 3 2 1 0 1 2 3 4 5 5 5 2 2 2 2 2 3 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 19 19 18 17 14 11 10 12 14 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 1 1 1 3 2 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 1 4 6 10 18 18 11 4 2 0 0 0 0 0 0 0 0 0 0 2 10 20 26 28 30 33 36 37 41 42 35 33 29 29 32 37 48 50 48 48 49 43 32 26 25 23 18 13 17 20 8 0 0 0 0 0 0 0 0 0 12 57 108 132 138 144 133 126 123 122 123 126 129 131 129 129 129 124 115 102 99 104 117 125 131 134 130 113 96 93 101 109 117 124 135 148 153 147 137 131 139 153 155 143 138 148 161 165 160 156 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 5 4 4 3 4 4 4 3 3 3 4 4 5 5 6 6 6 7 10 13 15 16 16 16 15 15 16 18 20 20 20 19 16 12 10 8 9 11 11 10 7 4 2 1 0 1 0 0 0 0 1 2 2 3 3 3 2 2 2 2 2 2 3 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 3 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 11 9 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 0 0 0 0 0 0 0 0 0 2 3 6 7 4 2 2 2 1 0 0 0 4 9 9 8 8 6 1 0 0 0 0 0 0 0 0 0 0 1 5 8 10 10 7 3 6 7 10 16 14 7 4 1 0 0 0 0 0 0 0 0 0 0 1 5 22 25 25 26 28 30 32 36 40 43 42 35 31 28 28 33 38 42 46 51 48 39 36 36 36 32 29 31 32 22 7 0 0 0 2 9 13 2 0 24 106 155 168 160 154 140 130 125 121 121 124 128 130 125 127 128 120 110 98 101 113 125 131 140 152 152 132 113 111 125 140 150 154 154 152 148 143 134 125 131 149 158 145 134 137 148 152 147 142 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 6 6 5 4 3 3 3 3 2 2 3 3 3 3 4 4 5 5 6 7 9 12 15 17 17 14 12 12 13 15 17 17 17 14 12 12 10 8 7 7 7 6 5 3 1 0 0 0 0 0 0 0 1 2 2 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 3 2 2 1 1 1 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 2 7 5 3 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 1 2 2 8 13 12 6 6 12 14 8 2 0 6 16 20 21 21 19 11 4 1 0 0 0 0 0 0 0 0 1 5 13 15 14 14 14 12 12 10 7 15 14 5 3 0 0 0 0 0 0 0 0 0 0 0 0 8 18 24 25 24 21 20 18 24 27 35 38 35 29 25 22 24 28 34 46 55 50 40 35 35 33 30 28 28 28 25 20 9 1 6 10 37 54 36 24 62 130 170 174 165 157 145 134 127 122 122 124 127 127 124 125 126 122 117 115 119 129 134 135 148 172 172 148 128 126 140 162 176 178 169 159 153 147 135 120 117 140 162 154 139 133 134 134 133 133 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 6 5 4 3 2 2 2 1 1 2 2 2 2 2 3 4 4 4 4 6 8 10 13 16 16 13 10 9 10 12 13 13 12 11 11 11 10 8 6 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 2 2 2 2 1 1 1 1 2 3 4 4 4 4 4 4 5 6 6 5 5 4 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 6 14 19 14 10 14 22 21 14 7 8 17 23 24 24 22 17 10 6 4 2 0 0 0 0 2 3 2 4 10 18 18 18 16 16 15 10 9 12 16 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 5 12 17 20 16 10 7 7 10 11 14 24 27 22 14 7 8 16 27 43 55 45 34 26 26 27 29 30 27 17 15 38 50 49 46 39 68 95 100 91 113 146 175 164 151 150 143 135 129 123 122 122 123 123 121 124 127 126 124 124 129 135 136 135 151 178 183 163 146 139 141 163 183 186 174 160 155 154 144 127 118 145 168 165 152 141 135 128 127 130 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 4 5 6 6 6 5 4 3 2 1 0 0 1 2 3 2 2 2 2 3 3 4 4 5 6 8 13 18 17 13 10 10 11 12 13 12 11 10 10 9 8 6 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 2 1 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 22 17 15 21 24 18 13 15 21 24 25 24 22 17 11 6 6 6 5 3 1 0 0 2 4 6 8 14 21 21 19 17 15 13 6 2 4 10 14 15 7 1 0 0 0 0 0 0 0 0 0 0 0 1 0 3 5 3 0 0 2 3 6 8 14 18 14 8 2 1 2 8 25 35 28 17 7 8 4 14 29 33 13 3 34 68 89 84 75 79 96 105 109 119 146 172 153 132 131 131 129 122 116 114 117 120 120 120 122 125 126 125 125 129 134 133 132 145 174 190 180 167 151 134 152 172 182 167 150 145 148 147 140 141 163 176 170 159 147 138 134 133 134 133 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 2 3 4 5 5 5 5 4 4 3 2 0 1 2 3 4 4 3 3 3 2 2 3 4 4 5 8 15 20 19 16 14 13 14 13 12 11 9 8 8 7 6 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 22 24 19 20 25 23 15 14 25 38 38 26 23 18 12 6 5 5 6 6 5 3 0 0 0 2 6 9 17 20 20 18 12 6 2 0 0 0 1 6 10 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 10 8 4 0 1 9 15 15 3 0 1 0 1 25 45 29 15 18 44 81 86 74 81 94 100 107 121 153 173 152 125 118 118 113 107 103 105 112 119 120 122 123 125 124 123 123 129 134 131 129 137 163 193 195 190 176 165 170 182 180 163 140 126 127 136 142 142 144 158 167 159 146 135 130 132 134 133 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 3 2 2 2 3 4 4 4 5 4 2 1 2 4 5 5 5 4 4 3 3 3 3 3 3 5 10 17 21 21 18 16 14 14 12 11 9 8 7 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 12 22 23 19 21 27 25 22 25 36 43 39 28 22 17 10 5 5 6 6 6 6 5 3 1 0 0 2 9 18 19 14 9 5 1 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 11 12 7 1 3 6 16 19 9 1 0 17 49 68 65 57 52 55 75 86 90 94 99 103 109 126 158 179 163 134 120 117 112 104 101 106 117 125 126 125 126 126 125 124 120 126 131 129 129 134 150 174 191 199 197 193 187 182 178 166 146 126 115 118 124 122 116 129 150 153 145 131 120 118 123 127 123 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 8 7 6 5 4 2 1 1 2 3 4 4 5 4 3 4 5 6 6 6 5 5 4 4 3 2 2 2 2 5 10 16 19 21 20 17 14 12 10 9 8 7 4 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 23 22 19 21 26 28 29 33 37 34 30 26 22 17 10 7 7 7 7 7 7 7 6 4 0 0 0 4 12 16 8 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 2 5 10 17 16 17 24 48 69 58 45 48 70 89 89 84 82 81 78 80 88 97 102 104 106 112 131 162 183 174 152 145 141 128 117 111 117 130 135 130 125 125 126 127 128 124 124 127 130 130 132 139 151 167 181 186 178 166 161 158 154 145 131 117 109 108 107 106 115 130 141 144 131 115 108 112 119 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 14 14 12 10 8 4 1 0 0 0 2 3 4 4 4 4 5 6 6 5 4 3 3 2 2 1 1 0 1 2 5 8 13 18 20 20 17 14 12 10 9 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 24 21 19 21 25 28 30 32 30 25 21 18 17 14 10 8 8 7 7 8 8 8 8 6 1 0 0 0 3 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 2 14 21 21 24 49 87 113 111 97 93 106 110 94 80 82 86 89 94 100 107 112 112 113 120 139 163 177 170 155 154 155 145 134 122 124 135 136 127 123 122 125 127 128 128 126 128 133 134 133 136 140 145 156 165 162 148 137 130 127 128 125 117 112 108 107 111 114 116 128 137 132 121 114 111 111 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 13 17 18 15 12 7 3 1 0 0 0 1 3 6 6 5 4 5 6 6 5 2 0 0 0 0 0 0 0 1 2 3 5 11 16 19 20 19 16 14 13 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 26 21 20 22 25 26 28 28 23 18 12 8 5 4 6 5 4 5 5 6 8 9 9 8 3 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 4 13 24 23 17 25 60 106 135 136 116 106 119 118 94 80 85 94 98 102 108 118 125 121 118 126 137 147 155 148 141 146 150 147 141 127 123 132 137 132 127 125 126 128 128 129 131 132 134 136 136 136 138 139 145 157 160 147 130 120 114 116 118 118 118 117 117 121 123 121 125 132 133 128 120 110 103 106 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 12 17 18 16 11 6 3 2 0 0 0 1 4 6 5 3 3 4 6 7 5 2 0 0 0 0 0 0 0 0 1 2 4 10 16 20 21 21 19 16 14 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 18 25 25 24 26 26 26 27 24 20 15 6 2 0 0 1 1 0 2 2 2 3 5 8 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 33 50 40 18 16 51 106 138 134 117 114 123 114 92 89 100 106 109 114 120 131 136 129 120 118 118 120 119 118 124 136 146 144 137 126 119 126 136 136 131 129 127 129 131 132 134 130 129 132 134 136 139 138 143 154 158 149 135 127 120 118 120 122 123 121 120 126 129 126 126 131 134 135 130 115 101 101 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 6 8 12 16 16 13 10 7 6 3 1 0 0 1 3 3 2 1 2 6 8 9 5 1 0 0 0 0 0 0 0 0 0 0 3 9 15 20 21 19 17 15 15 13 9 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 20 24 27 29 28 26 26 23 20 13 6 1 0 0 0 0 0 0 0 0 0 1 3 6 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 37 69 71 40 26 56 108 135 136 134 135 136 116 102 106 115 117 117 122 131 142 145 138 123 112 104 103 103 105 115 129 141 139 129 121 116 120 126 125 124 125 123 126 128 130 134 127 121 122 125 129 136 140 143 148 149 144 138 134 130 128 128 127 126 121 117 122 129 130 127 129 133 137 137 127 112 107 113 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 12 10 9 10 12 13 12 12 12 10 7 4 2 1 0 0 1 0 0 0 2 6 9 8 5 2 1 0 0 0 0 0 0 0 0 0 2 5 9 14 15 14 13 14 14 11 7 3 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 6 11 17 22 26 27 26 25 23 20 12 8 4 2 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 5 28 74 109 87 56 76 118 131 131 141 160 161 130 123 123 122 122 122 124 136 144 149 147 136 125 115 111 113 117 124 129 130 127 124 122 120 120 119 112 111 114 117 121 124 127 128 124 118 115 120 123 130 137 143 144 142 139 137 136 135 137 138 138 134 127 122 125 133 136 130 126 126 130 136 134 129 126 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 16 18 17 15 13 11 12 13 14 14 12 10 8 5 2 0 0 0 0 0 0 2 4 6 6 3 2 2 1 1 0 0 0 0 0 0 0 1 4 9 11 12 11 12 12 12 9 6 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 5 5 4 5 8 13 16 19 20 20 18 14 8 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 64 101 93 73 83 116 130 122 124 146 158 147 144 135 123 118 120 124 129 137 145 150 148 144 138 132 130 131 132 128 122 122 127 128 126 124 118 110 105 107 112 117 120 120 123 124 120 117 120 122 125 132 140 144 144 140 136 134 137 143 148 148 144 137 133 136 143 146 136 125 120 122 126 129 132 137 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 16 18 19 19 17 15 14 13 13 14 15 16 15 13 8 4 1 0 0 0 0 0 0 2 3 2 2 2 2 2 1 0 0 0 0 0 0 0 2 5 8 10 10 10 10 11 11 9 6 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 5 6 6 7 7 7 6 5 4 4 4 4 5 7 8 7 9 9 6 5 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 2 21 48 90 78 49 51 96 129 125 120 137 144 142 145 136 119 111 112 118 124 130 139 148 149 147 142 137 134 133 131 125 117 119 131 130 127 123 118 115 112 108 108 112 116 118 118 122 122 120 120 121 122 126 133 142 146 145 140 137 141 146 149 148 144 140 139 141 148 151 142 128 119 119 120 122 126 133 140 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 15 15 15 16 17 18 17 15 13 12 12 13 15 16 16 16 10 4 1 0 0 0 0 0 0 0 1 1 1 1 2 1 1 0 0 0 0 0 0 0 1 4 6 7 7 8 10 11 11 8 6 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 5 7 8 8 7 7 7 7 6 5 4 3 3 3 3 3 3 4 4 3 4 4 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 2 0 0 0 0 0 0 2 18 37 71 54 25 20 63 109 123 126 133 127 121 128 124 112 104 105 111 119 128 137 147 148 140 131 126 125 124 125 124 120 123 126 126 124 120 116 115 115 113 112 113 114 115 117 120 121 122 121 118 121 123 127 135 141 145 144 145 147 146 142 138 135 135 135 139 147 154 148 132 121 120 120 122 128 135 137 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 17 14 12 11 12 13 13 12 11 10 10 11 11 11 13 17 15 8 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 2 3 4 5 5 7 9 10 9 7 5 4 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 5 6 8 8 8 8 7 7 7 6 5 4 3 3 2 2 2 2 3 3 3 3 4 4 4 5 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 1 3 8 14 12 4 0 0 0 0 0 2 9 28 53 56 34 24 45 80 104 121 133 126 116 115 115 112 108 105 107 111 120 133 147 152 144 128 116 112 112 115 119 123 126 128 127 126 121 115 113 117 118 118 120 120 116 114 116 120 122 124 123 121 120 124 129 132 137 139 141 141 138 132 126 122 122 124 130 142 153 151 138 125 119 116 121 137 150 151 145 nan nan nan 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 13 9 7 7 8 9 9 9 9 9 10 9 9 10 13 15 12 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 7 6 5 4 3 2 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 7 8 9 9 9 8 7 6 7 7 6 5 4 4 3 2 2 2 3 3 3 3 2 2 2 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 3 7 14 27 31 12 1 0 0 0 0 0 2 16 38 59 57 52 61 78 90 102 124 134 125 119 120 123 124 117 110 107 107 117 138 155 158 145 127 114 107 106 109 114 119 124 127 128 126 123 123 124 122 123 127 128 125 118 117 122 127 131 127 120 114 116 120 124 128 131 130 127 124 120 115 111 110 112 120 134 147 153 146 130 116 111 119 142 160 162 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 12 10 7 4 3 4 5 7 8 8 8 9 10 10 10 12 15 14 11 10 9 7 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 7 7 8 9 9 9 8 8 7 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 2 2 1 1 2 3 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 1 3 4 4 2 2 3 3 6 11 14 18 29 32 15 4 2 2 1 0 0 0 8 25 47 64 74 85 97 101 100 107 122 130 127 127 134 138 133 128 121 112 108 120 137 154 155 143 128 117 110 107 108 109 112 117 122 124 122 123 124 122 123 125 128 127 121 122 129 135 143 143 128 112 110 112 114 119 123 122 118 114 111 109 105 103 105 112 126 140 156 155 138 120 114 123 144 162 166 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 10 7 5 4 2 2 2 3 4 4 4 5 8 10 11 14 17 16 14 11 10 8 6 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 3 3 3 4 3 2 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 7 8 8 8 9 9 8 7 7 6 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 2 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 10 14 14 17 21 23 20 22 22 10 2 4 5 2 0 0 0 3 14 30 46 63 82 101 115 117 113 115 121 121 120 124 129 137 143 142 134 123 116 115 121 130 136 135 130 125 120 114 108 104 104 108 116 114 114 116 117 119 117 116 117 118 125 136 143 146 145 136 121 113 112 114 115 117 117 112 105 101 100 98 96 98 107 119 132 151 158 145 126 118 122 141 163 173 167 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 7 5 4 3 3 1 0 0 1 1 0 1 4 8 11 13 17 19 16 11 8 6 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 3 3 3 3 3 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 7 8 8 8 8 8 8 7 7 6 6 5 5 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 5 4 2 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 1 4 12 20 24 22 23 32 37 28 18 10 4 4 9 10 6 2 0 0 0 5 19 32 43 57 81 103 120 128 119 113 107 102 101 100 103 118 136 146 144 130 113 102 100 110 119 126 130 133 131 119 108 99 97 104 105 107 109 112 115 112 108 106 110 119 131 139 142 144 142 129 116 115 121 121 119 117 111 101 93 89 87 86 89 98 111 125 143 154 147 129 113 114 132 158 175 178 172 nan 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 6 4 2 2 2 1 0 0 0 0 0 0 1 4 8 12 16 20 16 10 4 2 1 1 1 2 4 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 3 4 4 3 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 3 1 0 0 0 1 2 4 2 7 15 20 22 24 31 42 46 33 16 6 5 9 15 16 13 8 3 1 0 1 9 19 28 34 52 74 98 120 124 114 97 85 80 77 73 77 97 121 139 142 130 113 98 92 96 104 114 126 137 138 125 110 99 96 96 98 102 106 110 113 110 106 106 112 118 126 135 144 146 130 118 115 122 122 120 118 115 107 94 84 79 76 77 87 100 114 130 142 140 128 113 108 119 141 161 168 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 7 5 2 1 1 0 0 0 0 0 0 0 0 1 4 10 15 19 17 10 3 0 0 0 0 1 3 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 4 4 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 7 6 6 7 7 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 6 6 7 6 7 7 7 6 7 7 6 6 5 3 2 1 0 1 1 1 2 1 0 1 0 0 0 1 4 8 11 13 12 10 8 6 3 3 5 7 11 12 14 17 18 17 17 22 36 43 28 9 3 9 16 21 20 18 14 10 5 0 0 2 7 16 22 30 46 68 95 116 118 100 79 67 64 65 65 69 81 105 126 139 131 111 94 84 85 91 102 118 134 135 127 115 103 95 92 95 100 105 112 115 115 115 116 115 118 126 138 142 130 121 121 124 123 119 117 119 117 105 88 76 68 68 77 89 101 114 126 128 123 116 111 113 124 135 140 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 8 5 3 2 1 0 0 0 0 0 0 0 0 2 5 12 18 20 15 8 3 1 0 0 0 2 6 7 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 8 7 6 7 7 8 9 10 10 8 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 4 4 5 5 6 7 7 7 8 8 7 7 8 7 6 5 4 2 1 1 2 2 3 4 5 6 6 4 4 2 6 11 16 18 20 21 20 18 16 13 12 12 12 13 15 16 16 15 12 12 16 28 36 21 5 2 11 18 19 18 18 17 15 11 1 0 0 1 7 11 16 24 34 58 91 112 111 91 68 58 58 60 61 59 66 82 111 129 123 104 85 79 80 84 92 106 120 128 129 122 110 98 93 96 102 110 117 124 131 134 127 119 121 128 130 126 124 128 130 125 116 114 118 122 117 102 82 67 63 70 82 92 102 112 115 115 113 112 112 117 122 125 120 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 24 20 17 15 12 10 9 8 8 7 6 4 2 2 1 2 3 3 4 9 18 24 20 15 13 14 12 9 8 9 10 9 7 3 1 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 1 2 2 2 2 2 2 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 8 9 9 8 8 8 9 9 10 9 10 9 8 8 7 6 5 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 6 5 6 6 7 7 7 7 7 7 6 5 5 4 4 4 3 3 2 2 2 5 7 11 18 21 26 29 29 29 29 29 27 25 24 22 19 17 16 15 14 13 12 11 6 1 0 2 7 21 30 20 13 18 24 19 19 16 12 11 11 10 6 2 0 0 1 2 4 7 13 24 46 77 95 100 89 66 58 52 47 41 36 37 47 76 104 105 88 77 76 74 70 70 76 89 107 122 120 107 101 106 116 129 146 161 172 168 153 136 123 118 120 124 126 123 114 108 104 108 117 126 124 108 90 81 80 85 92 98 104 108 111 114 116 117 118 119 118 119 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 28 22 18 16 13 10 8 7 7 8 9 9 8 6 5 5 6 6 6 7 10 17 20 17 15 19 22 20 17 15 14 11 6 2 0 0 0 0 1 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 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 7 6 6 5 5 4 4 3 3 3 4 4 4 4 4 5 5 6 5 4 3 3 4 5 6 6 7 6 6 5 4 4 4 4 4 4 4 4 3 2 4 7 14 20 24 29 31 32 32 32 31 28 26 24 23 22 19 18 18 20 22 23 19 11 3 1 0 0 9 25 24 26 23 30 29 29 22 15 11 10 10 6 1 0 0 0 0 0 1 2 8 19 43 65 85 95 82 72 64 53 42 32 26 25 40 76 99 93 80 72 67 62 57 55 59 71 89 102 104 103 104 112 128 147 162 172 173 166 149 126 113 115 119 120 115 106 103 100 105 113 122 123 116 107 100 95 95 98 104 109 114 117 119 120 121 121 121 121 123 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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111 101 93 93 99 107 111 118 117 105 90 82 82 83 86 87 78 64 55 49 44 42 42 43 43 41 36 31 27 24 20 15 12 11 13 17 19 20 19 17 14 9 7 10 16 20 20 22 23 23 22 18 16 22 26 23 16 10 6 2 0 0 0 0 0 0 0 0 3 11 18 18 14 10 6 3 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 8 9 10 10 9 8 8 7 8 8 8 10 9 7 6 8 13 16 18 18 18 19 20 20 19 17 16 12 7 6 5 4 4 5 5 4 4 3 3 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 2 5 11 23 42 66 72 59 49 49 45 40 37 33 23 8 1 5 12 24 35 40 40 38 36 32 26 25 45 73 80 73 79 90 96 99 93 82 69 59 54 50 44 35 28 22 17 12 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 1 3 10 22 38 54 53 60 74 84 96 112 124 133 140 138 128 117 105 96 95 96 98 99 106 113 122 124 116 110 112 110 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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100 100 98 91 83 76 75 86 101 108 102 95 95 93 90 86 81 75 68 62 57 55 55 54 52 54 56 58 60 61 60 58 54 48 39 29 25 24 23 21 17 13 10 8 9 11 14 17 20 18 15 11 8 9 13 16 13 6 1 0 0 0 0 0 0 0 0 0 0 4 16 26 29 24 16 10 6 4 2 1 3 5 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 1 2 2 3 6 9 10 9 7 6 5 6 6 6 6 6 7 7 7 6 5 5 7 10 12 14 14 14 16 17 19 17 12 7 5 4 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 14 20 30 49 67 59 52 46 37 30 27 22 9 1 0 0 6 13 15 15 13 12 18 30 25 15 32 54 70 81 93 94 84 76 80 89 97 99 93 87 85 85 82 76 64 48 29 15 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 1 3 12 32 54 70 79 84 88 98 115 127 134 132 121 105 95 88 86 94 108 120 122 119 120 119 117 119 117 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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