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 5 7 6 6 7 8 8 8 8 8 5 3 2 1 2 2 3 4 4 3 4 5 6 5 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 3 4 4 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 2 3 2 3 3 2 3 3 3 3 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 4 5 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 7 7 5 5 6 6 6 6 5 5 6 6 7 8 8 7 6 6 6 7 7 6 5 6 7 8 7 5 3 2 4 11 12 9 9 8 4 0 -5 7 8 4 2 1 0 6 10 5 1 2 2 2 5 9 1 -4 -1 3 3 6 7 5 3 1 3 7 7 10 13 6 3 5 11 13 8 5 3 3 8 11 7 1 3 12 15 10 7 2 -5 -4 4 6 3 -2 -2 4 8 9 15 28 36 28 12 4 3 3 3 3 3 2 1 1 2 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 4 4 5 6 7 8 9 9 9 9 8 8 9 9 8 8 10 16 17 10 8 7 6 5 5 5 6 5 4 4 7 8 5 5 5 5 5 5 5 4 5 5 2 4 4 3 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 4 3 2 2 2 2 3 3 3 3 5 9 10 9 7 5 4 5 6 6 6 5 5 5 4 4 5 5 4 4 4 4 4 7 16 25 19 8 5 8 7 1 1 -3 -4 -10 -4 1 -2 -0 4 3 3 -0 -1 0 -4 -8 -8 -7 -6 -3 1 4 5 5 6 7 8 11 16 18 16 12 10 12 13 13 12 12 12 11 8 8 6 5 8 13 16 12 9 6 3 2 2 1 -1 -1 0 2 3 2 1 0 -1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 5 5 5 5 7 8 9 9 9 8 7 4 3 2 2 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 2 2 2 3 3 3 3 2 2 2 2 2 3 3 2 2 2 3 3 2 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 4 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 6 6 7 8 8 8 8 7 6 6 7 7 6 6 6 6 7 7 5 3 3 8 11 10 12 10 10 13 7 5 11 8 6 4 4 -2 0 5 5 6 7 3 -0 4 9 6 1 -2 -0 4 12 16 13 7 3 5 8 4 4 6 3 6 11 14 11 7 0 -4 1 10 13 11 5 0 -0 2 4 5 -1 -6 -1 7 7 3 3 5 9 13 19 26 32 30 17 6 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 5 5 7 7 7 8 9 8 8 8 7 7 7 7 7 11 16 11 7 6 5 5 5 6 5 3 3 5 7 5 5 5 5 5 5 5 5 4 3 -1 -1 4 4 3 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 4 5 7 8 8 8 7 5 3 3 2 2 3 3 4 7 11 10 8 5 3 4 4 5 5 5 6 6 5 4 4 4 4 5 5 5 4 4 5 9 17 23 22 16 12 8 8 11 7 -1 0 1 2 1 2 3 4 7 6 4 2 3 2 -0 -1 -3 -2 -0 2 4 4 4 5 6 7 9 11 11 10 8 8 11 11 12 11 12 14 15 14 10 6 7 9 8 6 4 2 1 2 3 2 -0 -1 -0 2 2 2 2 1 1 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 1 3 4 5 4 3 5 7 8 8 9 10 10 8 6 4 3 2 2 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 5 5 4 4 4 4 4 4 4 5 6 6 6 5 4 5 5 6 6 6 6 7 8 8 8 8 7 7 6 7 7 6 6 6 6 6 6 5 3 4 9 11 10 12 10 9 15 6 5 8 6 4 4 5 -3 -3 -2 -0 9 15 7 2 4 8 9 5 1 -0 2 11 18 17 10 8 10 11 8 9 9 5 9 13 9 2 -0 -7 -7 4 11 12 11 7 1 -6 -5 -1 1 4 7 8 6 5 4 5 8 11 16 26 33 28 17 7 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 4 4 5 6 6 7 7 8 8 8 7 7 6 7 7 6 6 6 7 6 6 6 6 6 6 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 -4 -8 -1 3 0 -2 1 4 4 4 4 4 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 3 3 4 5 7 8 9 10 11 11 10 8 5 3 3 3 3 5 8 11 10 6 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 5 4 4 4 4 7 14 19 20 15 8 7 7 5 2 3 4 4 4 4 3 4 5 6 6 5 6 8 6 4 3 3 4 3 3 3 3 4 5 6 8 8 7 7 6 6 8 9 8 9 10 14 22 26 21 14 10 8 6 5 3 2 3 4 4 3 2 1 0 1 2 1 2 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 1 3 4 4 3 2 2 4 6 7 7 8 9 9 8 6 4 3 3 3 3 4 4 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 3 4 4 5 5 5 5 4 4 5 5 6 6 6 7 8 9 9 8 7 7 7 7 7 7 6 6 6 6 6 5 3 3 3 3 8 9 4 5 10 3 -2 4 6 2 5 5 -3 -5 -3 1 12 15 7 6 8 6 6 7 4 2 1 5 9 9 8 7 10 12 12 13 15 17 14 9 4 2 1 -3 1 10 11 10 6 2 2 1 -0 -0 3 10 14 10 5 4 3 4 8 12 19 28 28 17 7 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 5 5 6 6 7 7 8 8 7 6 6 6 6 6 8 7 6 6 5 6 6 6 5 5 6 7 7 6 5 5 5 5 5 5 5 5 4 6 0 -9 -7 0 1 -2 -0 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 1 2 2 2 3 2 0 0 2 3 4 5 5 6 7 8 10 12 14 14 13 10 7 4 3 3 5 9 11 8 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 3 3 3 3 4 8 14 15 10 7 6 2 0 2 4 5 5 5 4 5 6 6 6 6 7 5 5 6 7 6 5 4 4 4 4 4 5 6 7 7 6 6 6 6 6 7 7 6 7 12 22 30 27 19 12 8 5 4 3 3 4 5 5 4 2 2 1 1 0 0 2 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 4 3 1 1 3 5 6 6 5 7 8 8 7 6 5 4 3 3 4 4 4 5 5 5 5 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 4 4 3 3 3 4 4 4 4 5 5 4 4 4 5 5 5 5 6 7 8 9 8 8 8 7 7 8 7 6 6 6 6 6 5 4 3 -1 -4 2 5 2 6 6 3 5 6 4 2 12 13 4 -1 -1 5 11 6 2 2 5 1 -1 3 5 4 5 5 0 -2 3 5 7 8 8 11 11 16 15 9 4 3 3 7 11 12 8 6 3 1 5 9 6 3 8 13 13 9 5 4 3 4 7 14 22 24 16 7 4 4 3 2 3 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 5 5 5 4 5 5 5 6 6 7 7 7 7 7 6 6 7 7 12 15 9 6 6 4 4 4 5 6 6 6 6 6 4 5 5 5 5 5 5 5 5 5 3 -2 -8 -4 6 6 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 2 3 5 5 6 5 2 2 2 3 4 5 5 5 6 7 8 11 14 16 17 16 11 6 4 3 6 9 9 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 2 1 0 -1 -1 -0 -1 -2 -1 3 8 8 6 5 3 3 5 7 7 6 6 4 6 8 9 8 7 8 6 6 8 7 5 5 4 5 5 5 4 5 5 6 6 6 6 6 6 6 7 6 6 7 9 15 21 22 17 12 8 5 4 4 4 5 6 6 5 4 3 2 1 0 0 1 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 3 3 4 4 2 1 2 3 5 5 4 4 6 7 9 7 6 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 5 4 5 5 5 4 5 5 5 5 5 7 8 9 9 9 8 8 8 7 7 6 6 6 6 5 4 3 1 3 7 5 3 8 5 1 8 7 1 2 8 12 10 4 1 8 10 3 2 2 0 -0 2 3 4 5 8 8 1 -5 -2 4 6 2 -2 4 5 8 8 6 2 0 1 6 11 8 5 7 6 7 12 12 8 9 12 12 10 8 6 4 3 4 8 14 19 14 7 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 12 17 11 6 6 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 4 -3 -6 1 8 7 6 5 4 4 4 4 4 5 5 4 5 5 6 7 7 7 6 4 4 6 8 9 8 7 5 3 3 4 4 4 5 5 5 6 8 10 14 19 21 19 15 9 5 4 5 7 7 5 4 5 5 5 5 5 4 4 5 4 4 4 4 3 3 2 1 -1 -3 -5 -7 -6 -6 -6 -5 -2 2 5 5 5 5 5 8 9 8 4 5 6 6 7 12 13 10 9 8 8 7 6 5 4 4 4 5 5 4 4 5 5 6 6 6 6 7 7 7 7 7 7 8 9 10 11 11 10 8 6 5 5 6 7 8 7 6 4 3 3 2 1 0 1 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 10 6 4 4 4 3 2 1 2 3 4 3 3 4 6 7 8 7 6 5 5 5 5 5 5 5 4 5 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 3 3 4 4 3 3 3 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 4 4 3 4 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 5 6 8 9 9 8 8 8 7 7 7 6 6 6 5 4 3 3 8 11 8 6 10 8 3 3 -0 2 5 3 5 7 6 4 11 9 3 5 7 4 3 7 5 4 6 8 5 3 0 -1 2 4 -3 -7 2 2 4 2 1 -1 1 3 -3 2 5 6 8 -0 4 12 13 11 10 11 8 6 5 5 3 3 4 10 16 15 7 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 4 4 5 5 5 6 6 7 7 7 7 7 7 9 15 13 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 4 5 5 3 -3 -7 -1 6 7 6 5 4 4 4 4 4 4 5 5 6 8 9 10 10 8 6 5 6 9 10 9 7 5 4 4 4 4 4 4 5 5 7 8 10 15 20 23 22 18 12 6 5 6 7 6 4 4 4 5 5 5 4 4 4 4 5 4 3 3 2 2 1 0 0 -2 -3 -5 -5 -3 -4 -3 -0 2 4 4 5 4 4 7 8 7 5 4 4 3 6 11 13 11 10 10 8 7 5 5 4 4 4 4 4 2 2 4 5 5 5 6 6 8 9 10 9 8 8 8 7 6 6 7 8 7 6 6 7 7 8 8 8 6 4 3 3 3 2 1 1 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 12 10 6 5 5 4 3 2 1 2 3 3 3 4 5 6 7 7 6 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 5 5 5 4 5 4 4 4 4 4 3 5 6 5 5 4 4 3 4 3 2 3 5 7 9 9 9 9 8 8 8 7 6 6 6 6 5 4 3 3 6 7 9 12 10 8 6 3 4 5 4 3 4 6 8 9 5 3 6 8 8 5 5 3 5 7 7 3 4 4 0 -1 -0 -7 -3 4 5 7 1 -2 -2 4 8 5 2 -1 3 5 -2 -1 5 8 9 10 11 8 4 3 3 4 5 8 15 19 13 5 4 4 4 4 4 3 3 4 3 3 3 3 2 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 7 6 6 5 5 4 4 5 5 5 5 6 5 6 6 6 6 6 13 15 10 6 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 -3 -5 2 7 7 7 5 4 3 3 4 4 4 6 8 10 11 12 12 9 6 4 4 5 6 6 5 5 4 4 4 4 4 4 5 6 6 7 9 14 18 21 22 19 15 10 8 9 7 5 3 3 3 4 4 4 4 4 5 5 5 4 4 3 2 2 -0 1 4 4 3 2 1 3 2 2 3 4 3 3 4 4 4 5 5 6 8 8 4 1 4 8 9 9 10 10 9 7 6 4 4 4 3 3 4 2 -0 1 4 5 5 5 6 8 10 10 10 7 6 6 7 7 7 6 6 6 6 7 7 7 8 8 7 6 4 3 3 4 4 4 4 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 10 11 9 7 6 5 4 3 2 2 2 3 2 2 3 5 6 7 6 5 5 6 6 7 6 6 5 5 5 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 5 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 5 4 4 4 3 3 2 2 3 6 7 9 10 10 9 8 8 7 6 6 6 6 6 4 2 2 2 3 6 9 9 8 9 8 8 9 9 3 3 6 10 8 1 3 5 7 12 8 5 3 4 7 7 4 4 3 1 4 -2 -8 1 6 9 11 9 1 -0 2 3 5 6 3 7 5 4 2 3 4 7 10 9 6 5 3 4 7 11 15 21 19 9 5 4 4 4 4 4 4 4 4 3 3 3 2 2 3 2 2 2 2 3 3 3 3 3 3 3 4 5 5 5 5 6 6 7 7 6 6 5 5 4 4 5 5 5 5 5 5 4 4 5 5 11 21 19 13 9 7 6 6 6 5 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 6 3 -3 -1 6 7 7 6 4 4 3 4 4 4 6 8 12 14 15 12 8 4 2 1 2 2 3 3 4 4 4 4 4 4 4 5 6 6 7 8 11 14 17 18 17 15 14 13 13 9 5 3 2 3 3 4 4 5 5 5 5 5 5 4 3 3 4 3 1 5 7 5 5 4 3 4 4 4 3 3 3 3 5 8 7 5 6 9 10 7 3 4 5 7 8 9 10 9 8 7 5 5 4 3 3 4 5 3 2 3 5 5 5 5 7 9 9 8 5 3 4 5 6 7 7 6 6 6 7 7 7 8 7 6 5 4 3 3 5 10 16 15 8 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 6 8 8 9 8 7 5 3 2 3 3 2 1 1 1 3 5 6 6 6 5 6 6 6 6 6 6 6 5 5 3 3 3 4 5 4 4 4 4 4 5 4 4 5 4 4 4 4 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 5 4 4 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 5 5 5 4 4 5 6 5 5 4 4 4 3 3 3 3 5 7 9 10 10 10 9 8 7 7 6 6 7 6 4 3 2 2 3 4 5 5 6 6 5 8 11 11 8 5 4 6 7 4 6 7 9 15 15 11 6 5 6 5 5 3 -2 3 10 0 -4 2 5 10 14 14 1 2 2 -1 4 8 7 10 4 7 7 7 10 15 15 8 4 3 2 4 9 12 17 20 14 6 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 4 3 3 4 7 17 22 22 19 16 13 11 9 7 6 7 7 6 5 6 6 6 6 6 5 6 6 6 5 5 5 5 0 0 5 7 7 6 5 4 4 4 4 4 5 8 12 16 16 12 7 2 0 1 1 1 2 3 4 4 4 4 4 4 4 4 5 6 6 7 8 10 11 12 13 14 16 18 17 10 4 2 2 2 2 3 4 5 5 5 5 5 5 4 3 3 7 11 7 4 5 5 6 4 3 3 3 4 4 4 5 6 9 12 11 9 7 7 10 9 5 4 5 6 8 10 11 10 9 7 6 5 4 3 3 5 8 8 8 8 6 5 5 5 6 7 7 5 2 -1 -1 2 4 6 7 6 6 6 6 7 7 7 6 5 4 3 2 2 6 16 27 25 10 1 1 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 4 4 5 8 9 9 7 5 3 4 5 3 1 -0 -0 1 4 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 4 4 4 4 4 5 4 4 5 5 4 5 4 4 4 3 3 3 3 3 3 3 2 3 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 2 3 2 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 3 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 6 8 10 10 10 10 9 8 7 6 6 6 6 5 4 2 2 4 6 4 4 6 7 5 7 7 7 7 4 2 3 6 11 9 6 9 15 20 19 14 8 4 4 7 3 -2 3 8 2 -0 1 4 12 15 8 -5 1 1 3 12 9 5 3 3 4 8 9 12 19 18 10 5 3 3 4 7 8 15 17 10 4 3 4 4 4 5 4 4 3 3 3 3 3 3 3 2 2 2 3 2 2 2 3 2 2 3 4 4 5 5 5 5 6 5 6 6 6 6 5 6 6 5 5 5 5 5 6 5 5 3 3 3 4 6 13 19 21 21 21 19 17 15 15 15 13 10 8 6 6 6 5 5 6 6 7 7 7 6 7 6 4 3 5 6 6 5 5 5 4 4 5 4 5 7 10 13 15 11 5 1 1 2 2 2 2 3 4 4 4 4 3 2 2 4 5 6 6 6 5 6 7 7 8 11 16 19 16 9 2 1 1 1 1 2 3 4 5 4 3 3 3 3 3 2 7 14 13 6 5 5 4 3 4 3 4 6 9 10 9 9 10 12 12 9 7 5 6 7 6 5 5 6 7 10 12 12 10 7 6 5 4 4 3 4 6 7 8 9 8 7 6 5 5 6 5 3 -1 -3 -4 -2 2 5 7 7 6 6 6 7 8 7 6 5 4 4 2 1 6 18 26 20 9 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 3 2 2 4 6 8 10 9 5 4 5 4 2 0 -0 0 3 5 6 6 5 5 5 6 6 5 6 6 6 5 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 2 2 3 3 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 4 3 4 6 8 10 10 10 10 10 9 7 6 6 6 6 6 4 2 3 6 11 9 7 5 4 4 7 6 5 3 1 1 4 8 12 8 2 6 12 18 20 18 13 6 4 8 7 0 2 6 4 4 2 5 11 12 2 -3 0 1 8 11 2 0 6 10 5 2 7 13 13 11 8 6 5 8 9 8 11 17 14 6 3 3 4 5 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 4 3 3 4 4 5 8 11 14 16 18 19 19 21 21 19 18 14 10 8 8 7 8 8 10 12 13 11 11 12 9 6 3 5 6 6 5 4 4 4 4 5 5 4 5 6 9 10 8 5 2 3 3 3 2 2 2 3 4 4 5 3 -3 -5 -0 4 6 6 6 5 5 5 6 6 9 13 17 15 6 -1 -2 -1 0 2 1 1 2 3 2 0 -2 -1 -0 -0 1 5 11 11 7 5 5 4 3 4 4 5 8 11 12 11 9 7 8 9 7 6 5 5 4 5 5 5 5 7 9 12 13 10 8 7 6 5 5 4 3 4 4 4 6 7 8 8 7 6 5 4 2 -1 -4 -5 -3 1 5 7 7 7 6 6 7 8 7 6 5 5 4 3 3 6 14 16 12 8 4 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 3 1 0 0 2 5 10 11 8 6 5 5 4 2 1 1 2 3 4 5 5 5 6 5 5 5 6 6 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 4 4 5 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 6 7 6 6 6 7 7 7 8 8 7 6 5 5 5 5 5 5 6 5 5 4 4 4 5 8 10 10 10 10 10 10 9 8 6 6 6 6 4 2 5 12 14 10 8 2 3 5 5 1 5 7 8 4 3 5 8 7 4 7 8 9 11 13 12 8 6 7 7 5 4 4 7 8 6 5 7 6 -2 2 1 4 9 7 1 2 10 12 8 0 2 13 13 7 6 6 6 7 10 12 19 20 12 5 3 4 4 5 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 5 4 3 3 3 3 3 4 5 6 8 11 13 14 14 15 17 18 18 17 15 14 15 17 16 15 15 14 15 15 13 6 3 4 6 6 5 4 4 4 4 5 4 3 4 3 4 5 5 5 4 4 4 3 2 1 2 2 3 5 7 7 -1 -12 -10 -0 5 5 5 5 5 5 5 6 7 10 14 13 6 -2 -6 -8 -6 -2 1 -0 -2 -2 -1 -3 -7 -7 -5 -4 -1 3 7 8 6 4 5 5 6 6 7 7 8 8 7 8 7 5 5 6 6 5 5 5 4 5 5 4 4 6 9 11 12 10 9 8 7 6 5 4 4 3 3 3 5 6 7 9 10 8 6 4 2 1 -1 -2 -1 2 5 7 7 7 6 6 7 7 7 6 5 5 5 4 4 7 8 7 7 7 4 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 6 4 2 1 0 0 3 7 10 9 6 5 6 5 4 3 2 2 2 3 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 3 3 4 4 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 6 6 8 9 10 11 10 8 7 6 5 5 5 5 5 6 6 4 4 3 4 5 7 9 10 10 10 9 10 10 9 8 6 5 5 3 3 6 13 11 9 7 0 4 7 7 2 10 16 14 6 1 1 4 5 7 10 5 2 4 6 9 10 9 6 5 8 5 2 7 9 9 5 4 3 -1 3 5 9 7 6 4 4 9 10 8 5 6 8 8 8 8 7 6 5 7 15 23 18 8 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 3 2 3 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 6 6 4 4 3 3 3 3 3 3 3 4 5 5 5 5 7 9 13 17 18 18 18 16 14 12 9 8 9 10 11 10 4 3 4 5 6 5 5 4 4 4 4 5 4 3 2 -0 -0 3 3 1 2 3 3 2 2 2 2 3 5 10 14 8 -3 -11 -5 3 5 5 5 5 5 5 6 6 8 10 11 9 5 -2 -10 -14 -10 -3 -1 -4 -5 -4 -3 -5 -5 -5 -4 1 3 3 4 4 5 7 7 8 10 12 11 8 6 4 4 6 5 5 5 5 5 5 5 5 5 5 5 4 5 7 10 10 10 9 8 8 7 5 5 4 3 3 3 4 5 6 7 10 11 8 5 4 3 2 2 2 4 6 8 8 6 6 6 7 7 6 5 4 5 5 4 4 4 5 5 5 5 5 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 7 7 5 3 3 2 1 3 4 6 7 6 4 5 4 4 4 3 3 3 2 3 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 3 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 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 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 8 10 12 14 13 11 8 6 5 5 4 5 6 7 6 5 3 3 3 4 6 9 10 11 11 8 8 10 9 8 6 5 4 3 3 6 8 6 11 8 3 4 4 1 3 7 15 9 7 2 1 1 1 3 7 4 2 2 3 8 11 11 9 6 6 5 4 5 7 9 7 5 3 2 4 9 11 6 5 7 6 6 9 7 9 10 7 3 7 10 8 6 6 7 17 22 12 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 4 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 3 3 3 3 4 3 4 4 4 4 4 5 6 7 9 10 10 7 5 5 5 5 4 3 3 4 3 3 3 5 6 6 5 4 4 4 4 4 4 4 4 -0 -4 -0 3 -3 -7 -3 2 3 3 3 3 4 5 11 18 15 5 1 -0 2 4 4 4 4 5 5 5 5 6 6 8 11 12 8 -0 -11 -15 -9 -4 -4 -3 -1 -0 0 1 2 2 3 4 3 2 3 4 6 7 7 9 13 13 9 7 4 4 5 5 5 6 6 6 5 5 5 5 6 6 4 4 5 7 9 10 9 8 8 7 7 5 4 3 3 2 2 3 4 5 8 10 11 8 6 4 4 5 5 6 7 8 8 7 6 6 7 7 5 4 4 4 4 3 3 3 3 4 5 5 4 4 3 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 nan nan nan
nan nan nan nan nan 9 8 8 6 5 4 3 2 3 4 5 5 5 4 4 4 2 4 5 4 4 2 2 2 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 5 5 4 3 3 3 4 4 5 4 5 5 4 5 5 4 5 6 5 5 5 4 4 5 6 8 11 14 16 17 14 10 7 6 5 4 5 7 8 7 5 2 1 2 4 6 9 10 11 11 10 8 8 8 8 7 5 4 3 3 5 6 6 11 9 9 3 3 -1 0 -2 8 4 11 7 4 -2 -1 3 3 2 4 2 1 7 12 13 9 4 4 7 6 4 6 9 8 7 5 4 8 9 8 3 3 6 7 3 7 5 7 8 5 3 5 9 9 7 7 11 21 19 8 4 4 4 4 4 4 4 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 2 2 3 5 5 4 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 2 1 1 2 3 4 4 5 6 5 5 4 4 4 4 4 5 7 7 1 1 6 2 -9 -13 -6 2 4 3 3 4 4 8 15 18 8 4 5 4 4 4 4 4 3 2 2 3 4 4 2 5 10 12 8 -1 -7 -6 -3 -1 1 3 3 3 4 5 6 5 4 4 4 6 7 7 7 4 2 7 9 7 7 5 4 4 5 5 6 6 7 6 5 5 5 6 6 5 4 4 5 7 9 9 8 8 7 7 6 5 4 3 2 1 2 2 4 6 8 10 9 8 6 6 7 7 7 7 8 7 7 5 5 6 6 5 4 4 4 3 3 2 2 2 3 4 4 4 4 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 9 8 7 7 5 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 3 2 2 3 4 5 5 5 5 4 4 3 3 4 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2 1 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3 3 3 2 3 3 3 2 2 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 4 5 6 8 10 14 18 20 17 12 8 6 5 5 5 7 9 8 5 2 1 1 3 6 9 11 12 12 12 9 7 7 7 7 6 4 3 3 5 5 7 7 8 8 3 5 8 6 -3 5 13 15 10 7 -0 0 5 5 6 6 2 -0 4 10 12 8 4 4 4 6 8 9 9 8 4 1 3 11 11 5 1 0 2 5 2 4 5 8 5 1 3 5 7 9 8 7 14 22 16 6 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 2 2 3 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 3 2 1 2 3 4 5 6 5 5 5 5 4 4 4 4 4 7 10 8 6 11 13 3 -9 -13 -6 0 1 2 2 3 5 8 12 9 4 5 5 3 2 2 1 0 -1 -3 -5 -2 -0 -5 -6 -1 5 8 7 5 6 4 1 1 3 3 4 5 4 3 3 5 7 9 10 12 10 8 7 1 1 5 5 6 6 5 4 4 4 6 6 7 7 6 5 4 5 6 6 5 4 5 6 8 9 9 9 8 7 7 6 6 4 2 2 2 1 3 5 7 9 8 7 6 6 7 8 7 7 8 7 5 4 5 6 6 5 4 3 3 4 3 2 1 2 3 3 3 4 3 3 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 6 8 8 8 8 7 6 6 7 6 5 4 4 4 4 4 3 4 5 5 5 4 3 3 2 3 3 4 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 5 5 6 7 9 13 18 21 19 14 9 7 5 5 6 8 9 8 5 3 2 2 4 7 9 11 12 13 13 11 7 6 6 7 6 5 3 4 5 6 7 5 5 6 10 1 4 7 2 2 15 14 7 8 3 3 4 4 9 3 -2 -1 2 9 10 6 3 2 3 8 12 8 7 8 2 -2 3 10 12 6 2 2 4 6 2 0 4 6 3 0 4 4 6 8 7 8 18 22 13 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 3 3 2 2 3 4 3 3 2 3 4 5 6 6 6 5 5 5 5 5 4 4 4 5 6 7 7 12 15 10 2 -8 -12 -7 -6 -4 -4 -1 4 5 6 6 5 6 4 3 1 0 -2 -3 -4 -7 -10 -10 -7 -6 -8 -7 -1 5 8 9 9 7 3 2 3 5 7 8 8 6 5 9 13 13 11 9 9 10 9 6 4 4 5 5 6 6 4 3 3 4 6 6 7 7 5 4 4 6 6 6 6 5 5 6 8 10 10 9 9 8 8 7 6 5 3 2 2 2 4 6 7 8 8 7 6 6 7 6 7 7 6 5 4 4 6 6 5 3 3 3 4 3 3 2 2 3 3 3 3 4 4 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 3 5 7 7 8 7 7 7 8 8 6 5 3 3 3 3 3 4 5 5 5 5 4 3 2 2 2 3 4 4 3 4 4 4 4 4 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 2 2 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 9 12 16 20 19 14 10 7 6 6 7 9 9 8 5 4 3 4 6 9 11 12 14 14 14 12 9 6 6 7 7 6 4 5 7 7 7 6 3 9 16 3 1 2 3 -4 6 8 3 5 6 7 8 4 3 1 -2 -1 1 7 8 4 2 2 1 6 8 3 5 9 5 2 6 6 8 6 4 7 14 9 2 -1 1 -0 1 4 3 1 3 5 7 11 21 21 10 5 5 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 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 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 2 2 3 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 6 10 15 11 5 2 -5 -6 -7 -7 -10 -9 -2 2 4 5 6 6 5 4 2 0 1 -0 -2 -2 -2 -5 -5 -0 0 -1 1 6 9 8 6 6 5 5 6 9 9 10 15 13 10 13 14 13 11 6 5 7 7 5 5 4 4 5 5 6 5 4 2 3 5 5 6 7 6 4 4 4 6 6 6 5 5 5 7 9 10 10 10 9 9 8 7 7 6 4 3 3 3 5 6 8 9 9 7 6 6 6 7 7 6 5 4 4 5 5 5 4 3 3 4 4 4 4 3 3 3 4 4 4 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -0 1 2 3 4 6 7 8 8 9 9 7 5 3 2 1 1 1 2 3 4 4 5 4 4 3 3 2 2 2 3 3 3 3 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 2 2 2 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 3 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 8 12 14 18 19 15 10 7 6 6 7 8 8 8 6 4 4 6 8 10 12 13 15 15 15 12 10 7 6 6 7 6 5 5 7 7 6 7 3 9 11 3 0 4 4 -5 -1 1 3 -0 9 15 15 11 6 4 3 -1 1 5 6 4 10 7 0 1 4 3 5 9 7 5 5 4 4 5 5 10 15 10 5 4 2 -1 2 10 4 -0 2 5 8 14 23 19 7 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 5 5 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 9 17 17 8 6 4 2 1 -2 -6 -11 -10 -6 -1 3 6 6 6 7 5 3 6 9 5 4 4 4 4 5 5 5 5 7 8 6 4 4 5 5 9 12 9 9 13 14 13 12 9 8 9 7 4 6 6 5 5 4 5 5 5 5 5 5 3 3 3 4 5 6 7 5 4 4 5 5 5 5 6 6 6 6 8 9 10 10 9 9 9 8 8 6 5 4 3 5 6 7 9 10 8 7 6 7 7 6 6 5 4 4 4 5 5 4 3 3 4 5 5 4 4 4 4 4 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 1 1 2 4 5 6 7 8 8 7 5 4 2 1 -0 -0 1 2 3 3 4 4 4 3 4 3 2 2 2 1 2 3 3 4 4 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 2 1 2 2 2 2 2 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 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 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 6 10 12 14 18 20 16 10 7 6 6 7 7 8 7 6 5 6 8 9 11 12 13 15 15 14 12 9 8 7 7 7 7 5 6 6 4 4 7 5 6 4 1 2 13 11 -1 -6 -4 5 -0 9 16 17 17 13 9 5 -1 1 4 5 11 15 8 1 2 3 4 7 9 6 4 4 3 2 5 8 10 9 6 9 9 5 4 6 10 6 4 5 7 11 17 24 18 7 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 7 13 19 19 13 7 6 6 4 1 -3 -6 -9 -8 -2 3 3 3 5 6 5 7 11 9 6 5 6 6 6 6 6 6 6 6 4 4 4 5 4 8 11 8 7 7 8 8 7 5 4 6 6 5 6 6 5 5 4 5 5 5 6 6 5 4 3 3 4 5 6 7 6 5 5 5 4 5 5 6 6 5 6 7 8 9 9 10 9 9 10 10 9 7 5 5 6 6 6 8 9 9 8 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 2 1 0 1 2 3 4 5 6 7 7 7 7 5 3 2 1 1 1 1 1 1 2 3 3 3 3 2 2 2 2 2 2 2 4 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 2 2 2 2 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 6 7 6 6 11 15 15 17 20 20 15 10 7 6 7 7 7 6 7 6 6 7 8 9 10 11 12 14 14 13 11 10 8 8 8 7 6 6 5 7 7 6 7 5 8 7 2 3 16 16 6 -2 -2 6 3 4 7 11 18 12 9 6 2 3 5 7 15 15 6 3 6 4 3 7 11 8 4 5 4 2 6 9 11 7 4 8 9 7 10 9 5 5 7 8 7 10 20 25 16 7 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 4 3 3 3 3 4 4 3 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 6 8 13 21 21 14 13 11 7 6 4 3 -1 -7 -7 -2 -2 -2 -0 1 -0 2 7 8 7 5 4 5 6 5 5 5 6 7 6 5 7 8 6 6 7 6 5 5 5 4 4 4 3 4 4 4 5 6 5 5 5 5 5 6 6 6 6 5 4 3 4 5 5 5 6 5 5 5 4 4 5 5 5 6 7 8 7 5 7 9 10 10 10 11 11 10 7 6 5 6 6 7 8 9 8 7 7 7 7 6 7 6 6 5 6 6 5 5 4 4 4 5 5 4 4 4 3 3 4 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 5 4 2 2 1 1 2 2 3 4 6 7 8 8 7 6 5 5 3 1 -0 -0 0 1 2 2 2 2 2 2 2 3 2 2 2 3 3 3 2 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 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 4 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 5 5 6 6 7 7 7 7 8 15 25 26 21 20 21 18 12 9 7 6 7 6 5 5 6 6 6 8 8 8 9 9 11 12 12 12 11 10 8 7 6 6 6 5 5 8 12 8 2 1 11 13 7 4 11 14 8 2 7 13 7 2 1 6 13 8 5 5 4 6 7 10 13 10 4 4 8 6 4 7 11 7 1 3 4 3 5 7 8 7 5 6 6 8 11 8 3 4 7 8 7 9 18 21 11 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 3 2 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 3 4 3 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 7 7 8 12 17 19 19 19 15 11 9 7 6 3 -1 -2 -2 -2 1 -1 -2 1 4 6 7 7 4 5 6 5 5 6 9 11 10 9 10 10 8 4 5 5 5 4 5 4 3 3 4 4 4 3 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 5 6 5 4 4 4 5 6 7 8 10 7 6 9 10 10 11 11 11 10 8 7 5 6 7 7 8 8 8 7 8 8 8 7 7 7 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 7 6 6 5 4 3 2 2 2 3 4 6 7 8 8 8 8 7 6 4 2 1 1 1 1 2 2 2 2 3 3 3 3 3 2 2 2 3 2 2 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 2 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 5 6 6 5 6 7 7 8 8 7 15 34 43 36 26 22 20 15 10 7 5 5 6 5 4 4 4 5 6 7 7 6 7 8 9 10 11 10 10 8 7 5 4 5 5 4 6 7 10 6 -1 -0 6 8 9 9 12 11 1 -4 9 18 11 4 1 4 6 3 4 6 5 6 7 12 11 5 2 3 7 4 2 6 8 4 2 6 7 3 3 3 3 6 7 5 6 8 10 5 3 6 9 8 7 7 13 15 12 8 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 5 5 4 3 3 3 4 3 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 7 7 7 7 9 12 15 19 20 16 12 11 12 10 8 8 5 4 5 4 3 4 6 7 8 8 11 10 7 7 5 5 10 13 11 10 10 9 6 4 4 4 4 5 4 4 4 4 5 5 4 3 3 4 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 6 6 5 4 3 4 5 6 6 7 9 10 7 9 10 11 11 11 10 10 9 7 6 6 7 7 8 7 8 8 9 9 8 8 7 7 7 7 6 6 5 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 8 9 8 7 6 4 3 3 3 4 5 6 7 8 8 8 8 8 6 5 4 3 2 1 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2 3 2 1 2 2 3 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 5 6 6 6 7 8 8 9 10 13 26 41 41 32 22 19 17 12 8 5 4 5 4 4 3 3 3 4 5 4 4 5 6 7 8 8 9 9 8 7 5 4 3 5 6 6 5 4 7 7 3 1 1 3 5 6 10 7 -4 -7 4 13 11 8 7 5 2 3 8 10 6 3 6 9 9 4 2 2 3 1 0 3 4 2 5 12 10 1 0 0 0 2 5 7 9 10 10 5 4 6 7 7 7 7 9 10 16 14 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 2 3 2 3 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 6 9 13 15 14 12 14 13 14 18 17 10 8 9 9 8 8 11 11 10 15 15 8 8 6 4 8 10 7 6 7 7 5 3 3 3 4 4 4 5 5 6 8 8 5 3 3 4 5 6 6 5 5 5 5 6 6 6 7 6 6 6 6 5 5 6 6 6 5 4 4 4 4 5 5 5 6 8 8 8 9 10 11 10 10 9 9 8 7 6 6 7 7 8 9 9 9 8 8 8 7 7 7 7 6 5 5 5 4 5 5 5 5 5 4 3 3 2 2 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 6 7 8 7 6 5 4 3 3 3 4 5 5 6 7 7 7 8 8 8 7 6 4 3 3 2 2 2 2 2 2 2 1 1 1 1 1 2 3 3 2 2 2 2 2 2 2 2 3 3 4 5 4 3 4 4 3 4 5 5 5 5 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 4 4 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 5 6 6 7 7 8 8 10 13 20 27 27 22 18 15 15 13 10 7 5 4 4 4 3 3 3 3 3 4 3 3 3 5 7 7 7 8 8 6 5 5 5 5 4 5 7 6 6 5 9 12 8 4 2 2 1 2 2 0 2 5 8 12 16 16 10 5 5 11 11 5 3 7 9 10 3 2 5 4 5 2 2 5 3 6 11 7 -0 -0 0 -2 -4 1 8 12 15 13 8 5 2 1 4 7 7 6 13 23 17 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 4 4 3 3 4 5 5 6 6 6 6 5 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 3 3 3 3 3 4 5 4 5 5 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 3 3 5 7 8 8 9 10 10 14 19 17 11 12 11 9 9 9 10 11 11 11 9 7 6 3 4 5 4 4 5 5 5 3 2 3 3 3 4 5 7 10 13 12 6 3 4 4 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 6 7 7 6 5 4 4 4 5 5 5 5 6 7 7 8 9 9 9 9 8 9 9 9 8 7 7 6 7 8 10 9 8 8 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 5 4 4 3 3 3 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 3 3 3 4 5 6 5 5 4 3 3 3 3 4 4 5 6 6 6 6 6 7 7 7 7 5 4 3 3 2 2 2 2 1 1 1 0 1 1 2 2 3 3 3 3 3 3 2 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 6 7 7 8 8 9 12 18 23 23 15 14 12 11 15 14 9 7 5 4 4 3 3 3 2 3 3 3 3 2 3 5 6 7 7 6 6 5 4 5 6 6 3 4 5 8 12 5 5 11 11 9 7 2 -0 -2 0 7 11 7 6 12 19 19 14 10 7 8 6 3 3 7 12 11 3 1 7 8 7 4 5 10 4 5 8 5 1 1 2 1 -1 1 7 13 18 14 8 3 -1 -3 0 6 6 6 20 28 13 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 5 5 5 4 3 3 3 3 3 4 4 3 3 2 3 4 5 6 6 6 6 5 4 4 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 3 4 4 5 5 4 4 3 3 4 4 5 5 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 2 3 3 3 4 5 5 5 5 6 10 14 13 12 12 9 8 7 6 6 5 6 6 5 5 4 3 3 3 3 4 5 4 3 2 2 2 3 4 6 10 14 16 13 7 4 4 4 4 5 6 6 6 6 5 6 6 6 6 6 6 5 4 5 5 6 7 8 7 6 5 4 4 5 5 6 5 5 6 6 7 7 8 9 9 8 7 9 10 10 9 7 6 6 7 9 9 8 8 7 7 7 7 7 8 7 7 7 6 6 7 7 6 6 6 7 7 6 5 5 4 4 3 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 2 3 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 5 6 7 7 7 6 4 3 3 2 2 2 1 0 0 1 1 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 6 6 6 6 6 5 5 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 3 4 4 4 4 5 5 6 6 7 8 8 8 11 16 22 24 19 12 16 14 11 18 15 9 7 5 5 4 4 3 3 2 2 3 3 3 2 3 5 6 7 6 5 4 4 4 5 7 7 1 0 5 14 20 6 1 1 7 11 10 3 -0 -1 -0 9 12 7 6 9 11 11 12 12 8 4 2 1 3 7 12 11 2 -7 0 6 3 3 5 11 5 4 4 4 4 -0 5 8 6 6 8 16 17 9 6 2 -3 -4 1 5 8 9 21 26 11 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 3 3 3 2 3 3 5 6 6 7 6 6 5 4 3 4 4 3 4 4 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 5 7 9 10 10 9 7 6 5 4 3 3 3 3 4 3 3 3 3 4 4 4 4 3 2 1 1 2 4 8 12 15 15 11 6 4 4 3 3 4 5 5 6 6 6 6 7 6 6 6 6 6 5 5 5 6 7 8 8 8 7 5 4 4 5 6 5 6 5 5 6 6 7 8 8 7 7 8 9 10 11 9 8 7 6 7 8 8 9 8 8 7 7 7 7 8 8 7 6 5 5 6 6 6 7 8 9 7 6 6 6 6 5 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 2 3 2 2 3 3 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 3 4 5 6 7 7 6 5 3 3 3 2 2 1 1 2 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 5 5 5 6 6 6 7 7 6 5 3 3 4 4 5 6 6 6 5 5 4 4 5 4 4 4 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 7 7 7 8 9 10 16 23 26 21 11 8 16 16 14 18 13 8 7 6 5 4 4 3 3 2 3 3 3 3 3 3 5 7 7 4 1 1 3 4 5 6 5 3 1 1 10 15 6 -2 -4 5 9 10 6 1 0 3 11 10 8 8 5 2 3 7 9 8 4 1 1 4 7 10 8 -1 -5 1 5 2 -3 -3 8 9 7 3 4 4 -1 5 11 8 6 10 17 18 13 7 -1 -6 -4 6 11 10 9 19 24 12 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 3 3 3 3 3 3 4 4 5 5 5 4 4 3 3 4 4 3 3 3 3 3 4 4 4 5 6 7 7 6 5 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 5 4 4 4 5 6 7 8 8 7 7 6 5 4 3 4 4 4 3 3 3 3 3 3 3 4 4 3 2 1 1 2 5 8 11 13 12 8 5 4 3 2 3 3 4 5 6 7 7 7 7 7 5 5 6 6 6 5 5 5 5 6 8 9 8 7 5 4 4 5 6 6 6 5 5 6 7 7 7 7 7 7 8 9 11 11 10 9 7 6 7 8 9 9 8 7 7 6 7 7 7 6 5 4 5 5 6 6 7 9 10 7 7 8 9 9 8 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 4 3 3 3 3 3 3 3 4 3 3 3 2 2 2 3 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 7 5 4 5 5 5 6 7 7 7 8 7 6 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 5 6 7 7 8 9 11 16 23 29 26 14 0 -1 8 15 16 14 9 6 6 5 5 5 4 4 3 3 3 3 3 3 3 4 5 7 6 1 -1 1 3 4 5 6 4 5 4 2 2 5 8 -2 2 7 3 6 6 2 0 2 9 7 8 11 6 2 3 6 7 7 6 3 4 6 7 8 4 1 7 12 14 8 -7 -8 7 13 7 2 3 1 1 3 5 8 12 13 13 21 23 10 -4 -10 -2 12 15 8 8 18 25 14 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 3 4 3 3 3 4 3 4 5 5 5 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 5 7 8 8 7 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 5 5 5 6 7 8 8 7 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 2 2 2 2 5 7 9 8 7 5 4 4 3 3 3 3 4 4 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 7 8 7 6 4 4 4 5 6 6 5 5 5 6 6 7 7 7 7 7 8 9 11 12 12 11 8 6 7 8 8 8 8 7 6 6 6 6 5 5 4 4 5 6 6 8 11 10 7 7 8 10 11 10 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 3 3 4 4 4 3 3 3 2 2 2 3 2 2 3 4 5 5 5 5 5 5 4 4 4 5 5 6 5 5 4 3 4 5 5 5 6 6 6 6 5 5 5 4 4 5 7 8 9 8 6 4 4 5 5 6 7 7 8 8 7 7 6 5 4 4 3 3 4 3 3 3 3 4 4 4 5 6 5 4 3 2 1 1 2 2 3 3 3 3 3 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 9 11 18 26 32 30 19 6 -6 -6 3 12 11 7 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 6 8 5 0 -1 2 3 3 4 7 7 2 0 3 5 7 8 1 7 10 1 1 4 4 4 -1 -2 2 8 12 10 5 6 8 7 7 6 5 5 7 6 4 2 4 9 9 10 7 -5 -6 12 19 3 1 4 -1 3 5 -1 4 16 17 15 26 30 13 -5 -10 0 14 13 4 7 18 26 17 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 3 3 4 3 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 3 3 3 3 4 5 8 8 8 7 6 5 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 4 5 5 4 4 4 4 3 3 3 4 5 7 6 5 5 4 4 4 3 3 3 4 4 4 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 6 5 5 5 4 4 5 4 4 4 4 4 3 3 2 3 5 6 5 3 2 3 4 4 2 2 4 4 5 6 7 7 7 8 7 6 6 5 4 3 4 5 5 5 4 4 5 7 7 6 4 3 3 4 5 6 6 5 5 5 5 5 6 7 7 7 7 8 10 12 15 15 12 8 6 6 7 7 7 7 6 6 6 6 6 5 5 4 5 6 6 8 10 10 8 7 7 9 10 11 10 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 4 4 4 3 4 4 3 3 3 3 3 3 2 2 2 2 3 5 6 6 5 5 5 4 4 4 5 5 5 6 5 5 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 6 8 9 8 6 4 4 4 4 5 6 7 7 8 7 7 7 7 6 5 4 3 2 2 2 2 3 3 4 4 5 6 6 5 5 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 5 4 4 4 5 6 7 8 9 11 17 27 37 36 23 9 2 -2 3 4 2 2 2 2 4 5 6 5 5 4 5 5 5 5 4 4 4 4 4 6 8 6 3 3 4 3 3 3 4 5 4 3 2 4 8 4 2 10 13 4 1 3 4 10 6 1 5 6 9 10 7 7 10 10 7 4 2 4 5 1 -3 -3 3 5 4 4 2 -3 0 19 22 0 2 6 -1 3 4 -1 2 13 15 20 33 31 12 -4 -5 6 14 9 3 6 16 27 19 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 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 6 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 3 3 3 4 4 4 4 4 4 3 3 2 3 5 7 8 8 6 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 6 5 5 5 4 3 3 4 3 3 2 2 2 3 4 2 -0 1 4 6 7 7 7 8 8 7 7 6 5 5 3 2 3 4 5 5 4 4 5 6 6 5 3 3 3 4 5 5 5 5 5 5 5 6 6 6 6 7 7 8 11 18 22 18 11 7 6 6 7 6 6 7 6 6 6 6 5 4 4 4 4 5 7 6 7 9 6 5 7 10 12 11 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 5 4 3 3 3 3 3 3 3 4 3 3 3 2 2 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 3 4 5 7 8 8 6 5 4 4 4 4 4 6 6 6 6 6 7 7 7 6 5 3 2 1 1 2 3 3 3 4 4 5 6 6 6 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 5 5 4 5 6 8 8 9 12 17 24 31 36 30 15 2 -4 3 5 -3 -8 -4 -1 1 3 6 6 6 5 5 6 6 5 5 5 5 5 5 6 7 9 7 6 5 6 5 5 4 0 -2 1 8 6 3 4 0 3 10 14 10 8 4 6 10 13 6 4 4 8 9 7 7 6 8 5 2 4 6 3 -2 -5 -3 5 9 6 1 -2 1 8 18 13 -1 3 3 2 4 -2 -1 5 5 5 23 39 29 8 -4 -0 12 15 8 4 6 15 27 20 5 4 4 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 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 2 2 2 2 3 3 3 3 3 4 4 3 2 2 3 5 9 11 10 7 5 4 4 4 4 3 3 4 4 3 3 4 5 4 4 4 4 3 3 3 3 4 4 5 5 6 6 5 5 4 4 5 5 5 5 5 6 5 5 5 4 5 5 6 6 7 7 7 6 5 4 3 3 3 2 2 3 2 2 4 4 2 1 4 6 7 6 7 8 8 7 7 7 6 6 5 4 2 2 3 4 4 5 5 7 6 5 4 4 3 4 4 5 5 5 5 5 4 5 5 5 5 6 6 7 10 17 26 28 22 13 7 6 6 7 7 7 7 6 6 6 5 4 4 3 3 4 5 4 6 7 6 6 8 9 10 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 5 5 4 3 3 3 3 3 4 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 5 5 4 4 4 4 4 5 5 5 4 3 3 3 4 4 3 3 3 5 7 7 6 5 3 3 3 2 3 4 5 5 6 6 6 7 8 8 6 5 3 2 2 2 2 3 3 4 4 5 5 6 6 6 5 4 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 6 8 9 10 12 17 20 23 24 26 23 14 1 -9 -9 -17 -19 -13 -4 -1 1 3 5 6 5 5 5 6 6 5 5 5 5 6 7 9 9 8 6 6 6 5 6 6 5 5 6 5 3 -2 -1 1 1 5 10 16 19 14 5 5 9 12 5 2 5 7 6 7 6 2 2 3 5 10 8 3 0 -1 2 9 14 12 7 2 1 7 11 8 2 1 -2 5 10 -0 -1 4 -0 3 26 37 23 5 -2 5 13 12 7 5 8 18 25 17 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 3 4 4 4 3 3 3 3 2 3 4 5 5 6 6 6 6 6 6 5 5 5 5 4 5 5 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 2 2 1 2 3 7 11 12 10 7 4 4 4 4 3 3 3 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 5 5 4 4 4 3 4 5 5 6 7 8 8 8 6 5 3 3 3 3 3 4 3 4 6 6 3 3 5 6 6 6 6 7 7 7 7 7 7 7 7 5 3 2 2 2 4 4 6 8 8 7 5 5 4 3 4 4 4 4 5 5 5 4 4 4 4 5 6 7 9 14 25 36 35 20 7 5 6 7 8 7 6 6 6 6 6 5 4 3 3 2 3 4 6 7 7 8 9 8 8 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 6 5 4 4 4 3 3 4 4 4 4 3 3 3 4 4 3 2 2 3 3 4 5 5 4 4 4 4 4 3 3 3 3 3 4 5 5 5 3 2 2 4 5 4 3 3 2 3 5 6 6 4 3 2 2 1 2 3 4 5 5 5 5 6 7 8 7 6 5 3 2 2 2 2 3 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 7 10 10 12 13 16 19 17 14 14 16 18 12 -1 -13 -18 -22 -18 -7 -2 1 2 4 5 6 5 5 6 6 5 5 5 5 5 6 8 9 9 5 3 2 5 2 4 4 2 7 15 10 -1 -7 -3 0 5 7 9 17 21 13 6 7 11 10 4 3 9 10 7 7 8 3 1 3 11 14 9 5 4 2 6 12 12 11 12 8 3 5 5 11 15 8 -1 6 11 6 0 -1 2 16 29 27 13 3 2 8 11 9 6 5 9 18 24 15 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 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 2 2 3 2 2 2 3 4 4 4 4 3 3 2 1 1 2 2 5 8 11 11 9 6 4 3 4 4 3 2 2 3 3 3 4 4 3 3 3 3 2 2 3 3 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 3 3 3 4 5 6 7 8 9 8 7 6 4 3 3 3 3 4 3 4 7 7 4 4 5 5 5 5 5 6 7 7 7 7 7 7 7 7 5 3 2 2 2 3 5 7 9 8 7 5 4 4 3 3 4 4 5 5 5 4 3 4 4 3 4 6 7 10 18 30 34 22 8 7 8 7 6 6 6 6 6 6 6 5 4 3 3 2 1 3 5 7 8 9 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 3 4 5 5 6 5 5 4 3 2 2 2 3 4 4 5 4 3 2 2 4 5 5 4 2 2 2 4 5 6 5 4 3 2 1 1 2 4 5 5 5 4 5 6 7 8 8 6 4 3 3 2 2 3 3 4 4 5 5 5 6 7 6 6 5 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 10 15 12 14 16 15 14 10 9 9 10 11 3 -6 -11 -8 -5 -1 3 2 3 4 5 5 6 6 7 7 7 6 5 5 5 6 7 8 9 6 3 0 0 4 0 0 -2 -3 6 13 7 -1 -1 1 4 10 7 7 12 11 6 6 11 14 10 3 3 11 17 12 6 7 9 6 7 13 12 8 7 4 1 7 14 9 1 3 9 10 6 5 14 21 14 4 6 4 9 9 6 10 22 24 16 4 0 4 8 8 6 5 5 11 21 26 14 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 4 4 4 5 5 5 4 4 3 3 3 2 2 2 3 3 3 3 3 2 2 3 4 5 5 6 6 5 5 4 3 2 2 2 3 5 7 8 8 7 5 4 4 4 4 3 2 2 3 3 3 3 4 3 3 3 3 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 3 3 2 2 2 4 5 6 7 8 9 7 7 5 4 3 2 3 3 2 3 4 5 5 4 4 4 4 5 5 5 6 7 7 7 7 6 7 7 6 4 3 2 1 2 3 5 8 9 7 5 4 3 3 2 3 4 4 5 5 5 4 4 4 3 3 4 6 7 12 17 19 15 11 14 17 12 6 5 6 6 6 6 6 5 4 3 3 2 0 1 4 6 7 8 8 7 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 4 4 3 4 5 5 6 6 7 7 7 6 5 5 5 5 4 3 3 3 4 4 5 6 6 6 5 4 2 1 2 3 4 4 4 3 2 1 2 4 5 4 3 2 2 2 3 4 5 5 4 4 2 1 0 1 4 6 6 4 3 3 4 6 7 7 7 6 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 5 5 4 3 3 3 3 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 6 5 5 4 6 12 16 13 13 11 8 7 7 10 12 15 16 7 -0 1 5 7 7 6 4 5 5 5 6 7 8 8 9 9 8 7 6 6 7 9 11 9 6 3 1 4 4 1 -1 -2 1 7 9 8 6 4 2 4 8 4 3 5 2 1 4 8 10 10 5 2 8 21 17 5 5 12 11 12 12 8 6 7 5 4 7 8 2 -2 2 10 10 5 6 10 11 7 6 7 0 2 16 21 19 18 13 2 -7 -1 6 6 5 5 6 7 12 23 24 11 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 4 4 5 5 5 4 4 3 3 3 2 2 2 3 4 4 4 3 3 4 4 4 5 5 6 7 7 6 6 5 5 4 4 4 5 6 6 6 5 4 4 5 5 5 4 2 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 5 4 4 4 3 3 3 3 3 2 2 2 3 4 5 7 8 8 8 8 6 4 3 3 4 3 3 3 2 2 4 6 5 4 3 3 4 5 6 7 7 7 7 7 7 7 7 6 5 3 2 1 1 3 5 7 7 5 3 1 2 2 2 3 4 5 5 5 4 4 4 3 3 3 4 6 9 10 10 9 12 20 28 23 12 5 4 5 6 6 5 5 4 4 3 2 1 1 3 4 5 5 6 6 7 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 5 5 5 5 5 4 3 3 3 3 4 4 6 7 7 8 8 7 7 6 6 5 5 4 4 3 3 3 4 5 6 6 6 5 4 3 3 3 4 3 3 2 1 1 3 5 5 4 3 2 2 2 2 3 4 5 5 5 3 1 -0 1 3 5 6 4 3 2 3 4 5 7 7 7 6 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 7 13 17 14 9 6 4 6 8 13 17 25 32 22 14 13 13 9 6 5 5 6 6 6 7 8 10 11 14 14 12 9 8 8 8 11 12 9 6 3 4 7 6 3 1 4 6 6 5 8 11 7 4 7 4 -1 2 5 2 -0 1 2 3 5 4 1 4 17 17 8 7 12 13 16 15 8 5 6 4 3 2 2 -1 0 7 9 6 6 7 5 2 3 6 9 -1 -9 10 30 25 12 2 -10 -11 2 6 6 7 7 7 7 10 17 21 12 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 4 3 4 4 3 3 2 2 3 3 4 4 5 5 4 4 4 4 3 3 3 3 3 4 5 6 6 5 4 4 5 5 4 5 5 5 6 6 6 6 7 7 7 6 6 6 5 4 3 3 4 5 6 6 5 3 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 7 6 6 6 5 4 4 4 4 3 3 3 3 2 2 2 3 4 6 7 8 8 8 7 6 3 3 5 6 5 4 3 3 4 6 5 4 3 3 3 5 6 6 7 7 7 7 7 7 7 7 6 5 3 2 2 2 3 5 6 4 2 1 1 2 2 2 3 4 5 5 4 4 4 3 3 3 3 4 5 8 7 7 11 20 30 30 17 7 4 5 7 6 5 5 5 4 4 3 2 2 2 4 4 4 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 5 4 5 5 5 4 4 3 3 2 3 4 4 5 6 7 8 9 8 8 6 6 5 5 5 4 3 3 3 4 5 6 7 7 6 6 5 4 3 2 2 1 1 2 3 5 5 4 4 3 3 3 3 4 4 4 6 7 5 2 0 1 3 4 5 4 2 2 3 4 4 6 6 6 7 6 6 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 4 3 2 1 1 2 2 3 4 5 5 5 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 8 11 16 16 11 6 5 6 7 9 11 16 24 31 20 13 10 9 6 4 5 6 7 6 6 7 8 9 11 17 19 17 12 9 8 8 9 9 8 6 2 2 4 7 6 5 7 8 7 5 6 9 6 6 15 2 -3 4 5 2 2 2 -0 2 6 3 -2 0 7 14 14 10 9 11 14 17 13 7 5 3 1 -2 1 3 9 14 9 8 10 6 1 1 7 13 11 2 -6 10 33 22 5 -7 -12 -2 6 7 9 8 6 6 7 8 14 23 17 6 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 4 3 4 3 3 3 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 7 8 7 5 4 4 4 5 4 4 4 4 4 4 5 5 5 7 9 9 9 7 5 3 2 3 5 7 6 6 5 4 3 3 4 5 5 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 5 5 4 4 4 3 3 3 2 2 2 3 4 5 6 7 7 8 7 6 4 4 5 7 6 4 5 6 6 6 6 5 4 3 4 4 5 6 6 7 7 7 8 8 8 8 8 7 6 4 2 2 2 3 4 4 3 2 2 2 2 2 3 4 4 5 5 5 4 4 4 3 4 3 3 5 5 7 9 15 23 22 15 8 5 6 6 6 5 5 5 5 5 4 3 2 2 4 4 4 4 5 5 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 4 4 5 5 5 5 5 4 3 3 3 3 2 3 4 6 7 8 9 8 8 6 5 5 5 5 4 3 2 2 3 5 7 7 7 7 6 4 3 2 1 2 2 3 3 4 5 5 4 4 3 4 5 5 5 5 7 8 7 3 1 1 3 4 5 4 2 2 2 3 4 5 5 5 5 6 6 6 6 6 5 4 3 4 4 4 4 3 4 4 4 5 5 4 3 2 1 1 1 2 3 4 5 5 5 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 8 14 16 14 10 6 5 5 6 7 9 9 10 12 7 -1 -2 -0 2 4 5 6 7 6 6 6 6 7 7 9 15 21 21 14 8 7 7 9 7 8 8 5 2 3 5 8 10 9 7 6 3 1 5 8 11 14 1 -0 6 3 2 7 6 2 6 9 4 -2 -1 4 11 14 9 9 13 11 10 10 6 5 4 4 3 3 6 11 13 13 13 10 3 3 4 10 16 12 11 7 22 33 15 -6 -15 -3 14 15 13 13 10 6 5 6 8 14 23 20 8 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 3 4 4 4 4 4 4 5 6 6 6 6 6 6 5 4 4 4 4 4 3 2 3 4 4 4 4 3 4 4 4 3 3 2 2 3 4 4 6 8 8 7 6 4 4 4 4 4 3 3 3 3 3 3 3 3 5 8 10 10 8 5 3 3 4 6 7 6 5 4 3 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 8 7 7 7 6 5 5 5 5 4 4 4 3 3 3 2 2 3 4 4 5 6 7 7 6 5 5 5 6 8 6 3 4 5 6 7 8 6 4 3 3 4 4 4 5 6 6 6 7 8 8 9 9 8 8 7 4 3 3 3 4 5 4 4 3 2 2 2 3 3 4 4 5 4 4 4 4 4 3 3 4 5 5 6 7 9 14 16 11 7 6 6 5 5 5 6 6 6 6 6 5 3 3 3 4 5 5 6 6 7 8 8 9 9 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 3 2 2 2 4 6 7 8 9 8 7 7 6 5 6 6 5 4 2 2 3 5 6 7 7 6 5 4 3 2 2 3 3 4 4 5 6 6 5 5 7 7 7 6 6 7 9 8 6 3 2 3 4 4 4 3 2 2 3 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 5 5 4 4 5 5 6 6 5 4 3 2 1 1 2 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 5 5 9 15 15 10 6 5 4 5 5 7 9 9 6 4 -9 -12 -8 -2 2 5 7 6 6 6 6 5 6 6 7 7 10 17 21 17 9 6 6 9 6 7 6 3 5 7 5 6 8 7 5 3 -1 0 3 4 12 7 -0 6 7 3 6 14 8 2 5 6 5 6 5 6 10 10 5 8 14 12 7 5 1 4 8 8 9 5 4 2 3 10 13 5 -1 6 11 11 7 8 19 19 30 27 7 -14 -15 11 30 26 20 16 10 7 6 5 7 13 22 21 10 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 3 3 2 2 2 3 5 6 6 6 6 5 4 4 4 4 3 3 3 2 2 2 2 2 2 3 5 7 8 7 5 3 3 4 5 6 5 4 2 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 7 6 5 5 6 7 6 5 4 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 6 8 7 4 3 3 5 8 9 7 5 4 3 3 3 3 4 4 4 5 5 6 7 8 9 9 10 9 7 6 4 4 4 5 5 5 3 2 3 3 3 2 3 3 4 4 4 4 4 4 3 3 3 4 5 6 6 7 8 10 9 8 7 6 5 6 6 7 8 8 9 9 8 6 4 4 4 5 6 6 6 6 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 6 7 6 5 4 3 2 2 2 3 5 7 7 8 8 8 7 6 6 6 6 5 3 2 2 2 4 6 6 6 5 4 3 3 3 3 3 4 5 6 7 8 8 8 8 7 6 5 4 6 8 9 8 6 4 3 3 4 4 3 2 2 2 3 4 4 4 3 4 4 5 5 5 5 5 4 5 5 6 6 5 5 5 5 6 6 7 7 6 5 3 2 1 2 2 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 6 5 7 13 14 9 6 5 4 4 5 8 10 10 10 7 -3 -4 -0 5 7 7 6 6 6 6 5 6 7 8 7 6 7 13 19 18 10 5 6 8 7 3 -1 0 8 11 8 6 5 4 3 3 3 6 0 -2 5 1 2 13 10 3 11 22 10 1 1 2 8 14 10 7 6 5 5 7 7 8 9 8 -1 3 14 12 8 2 -2 -3 1 9 9 1 -1 6 10 8 2 6 21 27 31 20 0 -12 -3 20 32 28 20 13 7 6 6 5 5 10 20 23 13 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 4 4 3 3 4 4 3 3 4 5 4 3 2 2 2 3 5 6 5 5 5 6 5 4 4 3 2 3 3 3 3 3 3 2 2 2 3 4 5 4 3 3 3 4 4 3 3 2 2 3 3 2 2 3 4 4 4 3 4 4 4 4 4 5 5 4 5 5 5 6 6 6 7 7 8 8 8 7 6 7 9 11 10 9 7 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 7 7 5 3 3 6 9 10 9 6 4 3 3 3 3 3 3 3 3 3 4 5 6 7 9 9 10 9 8 6 5 4 4 5 5 4 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 3 3 4 5 6 7 7 8 8 7 7 6 6 6 6 7 9 12 12 11 10 8 5 4 4 4 5 6 6 6 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 6 6 7 6 6 6 6 6 7 7 7 7 5 4 2 2 2 3 4 5 6 7 8 8 8 7 7 7 7 6 4 2 1 2 3 4 4 5 4 4 3 3 3 4 5 5 6 8 10 10 10 8 5 4 3 2 3 6 8 9 7 6 5 4 4 4 4 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 7 6 6 6 6 7 8 8 8 8 7 6 4 3 2 1 1 2 2 2 3 2 3 3 4 5 5 5 6 6 6 6 6 6 6 6 11 14 11 7 4 3 4 6 10 9 10 15 12 6 7 8 9 9 7 6 6 6 6 5 7 10 11 9 6 8 12 16 14 8 5 7 8 11 6 2 4 7 6 7 7 5 5 3 3 9 13 10 10 8 2 7 10 6 2 12 16 5 4 5 3 8 11 10 8 3 4 10 12 7 4 8 7 1 2 13 12 6 5 1 -2 3 5 -0 -3 1 7 5 -0 -0 6 17 32 28 12 -1 -3 9 19 22 20 13 7 5 5 6 5 5 10 22 26 13 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 3 3 4 5 5 4 3 3 2 4 5 6 5 4 5 8 8 6 5 4 4 3 3 3 4 3 4 3 3 3 2 2 3 3 3 2 2 3 4 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 7 9 12 13 12 11 9 7 5 4 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 9 11 11 10 7 5 3 3 3 3 2 2 2 2 2 3 4 4 5 6 8 9 10 9 8 6 5 5 6 6 6 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 4 5 5 7 8 9 9 7 6 6 6 6 7 7 11 15 16 14 12 9 6 3 2 3 4 4 5 6 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 5 6 6 6 7 8 9 7 6 4 2 2 3 3 3 4 5 6 7 8 9 9 9 9 8 6 4 2 2 2 3 4 4 4 4 3 3 4 5 6 6 8 9 10 10 9 6 4 2 1 1 2 4 7 8 9 8 7 6 5 5 4 3 3 3 3 3 3 2 3 2 3 3 3 3 3 4 4 6 6 7 7 7 6 5 6 7 9 9 9 8 8 7 6 4 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 6 6 7 7 9 15 15 8 4 3 4 7 7 4 8 11 8 7 8 8 7 6 6 7 7 6 6 6 8 14 15 11 8 9 11 10 9 8 7 9 8 8 8 7 11 8 6 7 5 4 3 0 3 10 9 7 15 20 19 13 3 -0 1 8 2 -2 6 11 9 8 10 17 12 3 6 14 17 10 5 7 4 3 5 10 9 6 4 2 8 16 9 -4 -5 1 3 -2 -2 3 9 15 29 22 9 2 6 14 16 16 13 8 5 4 4 4 4 5 12 22 17 4 4 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 3 4 5 6 6 6 5 4 5 6 7 7 4 4 7 11 11 8 6 5 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 2 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 5 5 5 5 6 6 5 6 6 6 7 7 8 8 8 8 8 8 8 9 13 12 10 10 9 7 5 4 5 5 5 4 5 6 6 6 5 5 5 6 5 4 3 4 5 8 13 14 14 12 10 8 6 4 4 3 3 3 2 2 2 2 3 3 3 4 4 5 7 9 10 9 8 7 5 5 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 6 7 9 10 8 7 6 6 6 7 8 12 16 18 18 15 10 5 2 1 1 3 3 4 6 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 4 5 5 6 7 9 10 10 9 7 4 3 3 3 4 4 4 4 6 8 10 11 10 9 9 9 7 6 4 3 3 4 4 5 4 4 4 5 7 7 7 8 8 8 8 6 4 2 2 2 1 2 2 5 7 9 8 8 6 5 5 5 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 7 9 9 9 8 8 7 6 5 4 4 4 3 3 2 3 3 3 4 4 4 5 5 5 5 6 6 7 7 8 9 11 19 18 8 4 5 8 8 3 1 5 6 4 5 6 5 4 5 6 7 8 7 5 6 11 16 15 12 9 8 8 7 8 9 11 11 6 2 3 6 6 6 9 10 4 2 3 2 4 6 4 8 10 10 11 9 3 -0 1 4 -3 -2 5 7 8 10 13 21 12 3 7 14 15 10 8 10 5 3 8 10 8 5 -2 -4 13 28 16 -1 -2 1 -4 -7 1 9 12 17 23 17 10 8 12 15 15 13 9 6 4 4 4 4 4 5 10 11 5 2 8 12 8 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 4 4 5 5 5 4 4 4 5 5 5 5 5 6 7 7 7 7 6 5 5 4 4 4 4 5 6 6 6 6 5 5 7 7 6 4 4 8 11 11 9 7 5 5 5 5 6 6 6 6 6 5 6 6 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 9 9 10 9 12 14 11 8 7 7 6 4 4 6 6 5 4 6 7 8 9 8 8 7 6 5 4 3 4 7 12 17 18 15 12 9 8 7 5 4 4 3 3 3 3 2 2 2 3 3 3 3 4 5 6 8 9 10 9 7 6 5 6 5 5 5 5 4 4 4 3 2 3 2 2 2 2 3 3 4 4 4 4 4 6 8 9 9 8 7 7 7 7 9 10 13 17 20 18 11 5 2 1 0 1 2 3 5 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 4 4 5 5 6 8 10 10 10 8 6 4 3 3 4 4 4 5 6 8 9 11 9 8 8 9 10 9 7 5 4 4 4 5 4 4 5 7 8 9 9 8 7 6 6 4 3 3 2 2 2 1 2 3 5 7 7 7 6 6 6 6 5 3 3 3 3 3 3 2 3 2 3 3 2 2 3 4 5 5 5 4 4 3 4 4 6 7 8 8 8 7 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 4 4 5 6 8 9 10 11 15 21 17 7 5 9 12 13 8 8 5 6 4 4 4 4 5 6 7 7 8 7 6 8 12 11 10 11 9 7 8 9 9 10 12 10 4 -0 3 8 6 4 8 11 3 1 4 6 7 6 12 15 4 -3 -2 0 2 2 1 2 -0 -1 3 4 2 4 11 12 6 5 11 15 13 10 13 16 11 7 9 10 10 8 1 -4 7 18 10 2 3 4 1 -0 3 10 13 17 19 14 11 12 14 14 12 10 7 5 4 5 5 3 2 4 7 6 4 6 13 20 14 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 6 7 8 8 7 6 5 4 4 3 3 4 4 6 6 6 6 6 6 6 5 4 4 4 7 9 9 8 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 6 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 10 11 12 13 17 14 10 8 7 6 6 5 5 6 6 5 4 7 9 11 12 12 10 8 7 5 5 4 4 7 12 17 17 13 11 9 8 8 6 5 5 4 3 3 3 3 2 3 3 3 3 3 3 3 4 6 8 9 9 9 7 6 5 5 5 5 5 4 3 2 2 2 3 3 3 2 2 2 3 4 4 4 3 3 5 6 8 9 9 8 7 7 8 8 9 10 13 16 16 11 6 4 2 -0 -0 1 2 3 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 4 4 3 3 3 3 4 4 4 5 7 8 9 9 9 7 5 4 3 3 4 5 6 6 7 8 9 8 7 6 7 9 9 9 7 6 5 5 4 4 5 6 7 8 9 9 8 7 5 4 4 3 3 2 2 2 2 2 3 4 4 6 6 6 6 6 5 4 3 3 3 3 3 2 2 2 2 3 2 2 3 3 4 4 4 4 4 3 3 3 3 4 5 7 7 7 7 6 6 6 6 7 7 7 6 5 5 5 4 4 3 4 4 4 4 4 5 7 9 11 12 14 19 23 15 7 7 12 15 17 21 24 13 8 6 5 4 4 5 6 7 7 7 6 7 11 12 7 8 11 10 10 12 11 11 11 10 6 1 -1 4 8 11 8 7 7 4 2 2 8 9 12 20 6 -5 5 7 -1 1 3 3 4 2 3 8 9 3 -1 3 -1 4 12 16 13 10 10 13 15 13 12 13 12 11 10 4 0 -1 1 4 10 11 9 10 10 10 14 16 15 13 10 10 13 13 11 10 8 6 5 5 5 4 2 1 3 6 6 5 7 14 23 18 7 5 6 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 4 4 3 2 3 3 4 4 5 5 6 7 6 4 3 3 4 5 5 6 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 7 6 6 5 5 5 5 5 5 5 5 5 4 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 7 8 12 16 18 22 21 14 9 8 8 7 7 8 8 7 5 4 5 8 10 12 13 13 12 10 7 6 5 5 4 5 8 12 12 10 9 9 8 8 8 8 8 7 4 3 3 3 2 3 3 3 3 4 4 3 3 4 6 8 9 10 9 7 6 5 4 4 4 3 3 1 1 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 7 8 8 8 8 8 7 8 9 10 10 11 11 8 5 4 4 2 0 2 2 2 2 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 5 4 2 2 4 6 7 7 7 8 8 8 6 4 5 7 9 9 8 6 5 4 4 4 5 7 8 9 9 9 7 6 5 4 3 3 3 3 3 2 2 3 3 3 3 4 4 5 5 5 5 5 4 5 5 4 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 6 6 6 5 5 6 7 8 8 7 7 5 5 5 5 4 4 4 5 4 4 5 8 10 11 12 14 18 24 23 14 6 7 11 15 18 23 19 11 6 5 4 4 4 5 6 6 6 6 6 9 11 9 7 9 9 11 15 15 13 12 10 7 3 -0 2 7 9 5 1 2 6 5 3 2 7 7 11 17 2 -2 8 5 -1 2 4 5 6 5 7 11 8 4 1 2 1 7 14 13 7 3 3 4 6 8 11 12 9 6 6 7 1 -10 -6 5 14 18 13 8 7 9 13 15 12 7 5 10 15 13 9 7 7 7 6 5 6 4 0 0 4 7 6 6 8 13 21 19 8 5 6 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 5 5 5 5 5 6 7 7 7 6 5 4 3 2 2 3 3 4 4 4 4 6 7 6 3 2 2 4 5 5 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 8 13 20 25 26 25 21 15 11 10 10 8 8 9 9 6 4 4 6 8 9 11 12 13 11 9 7 6 5 5 4 4 4 4 6 7 7 6 6 7 8 10 14 14 10 6 4 2 2 2 2 3 3 4 4 4 4 4 4 5 7 9 10 9 8 6 5 4 3 3 2 2 2 5 6 6 5 4 3 3 4 4 4 5 5 4 3 4 5 6 7 7 7 7 7 8 9 9 9 9 8 6 4 3 3 2 2 3 3 2 2 2 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 5 3 2 2 4 7 9 8 7 7 8 8 6 4 4 6 9 9 8 6 4 3 3 4 5 6 7 8 8 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 6 5 4 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 4 5 5 6 7 8 11 12 12 13 16 22 28 24 13 5 5 7 12 13 10 3 3 2 2 2 3 3 4 5 6 6 6 8 11 11 6 6 7 7 10 13 16 17 15 10 5 3 2 8 10 9 3 1 2 6 6 3 3 4 8 8 7 -2 0 4 1 2 4 4 6 8 8 9 8 1 -0 5 13 13 8 8 6 2 2 1 -3 -2 3 8 10 7 2 1 8 3 -11 -7 6 15 17 11 3 7 12 12 10 5 -0 2 12 16 13 8 6 7 8 7 6 5 3 0 1 5 7 6 6 7 12 21 21 10 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 5 5 4 3 3 2 3 3 4 4 3 3 4 6 6 5 3 1 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 11 22 29 25 22 21 20 16 13 12 11 9 8 8 9 7 2 3 5 7 8 9 10 10 10 8 7 7 6 5 5 5 4 3 4 6 7 6 4 4 5 10 18 24 21 13 5 2 2 3 2 2 3 3 4 5 4 4 4 4 5 8 10 10 10 8 7 5 4 3 3 3 4 6 8 9 7 5 3 4 5 5 5 5 5 5 4 3 4 5 6 6 6 6 7 7 8 8 8 7 7 6 5 3 3 1 2 3 3 3 3 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 5 6 7 7 7 7 6 5 5 5 5 5 5 4 3 3 3 5 7 9 9 8 7 7 8 7 5 4 6 7 8 7 5 4 4 4 4 4 5 6 7 7 7 6 5 5 5 5 5 5 5 4 5 5 4 4 3 3 4 4 4 4 5 5 5 6 7 7 6 4 3 3 3 3 3 3 3 4 3 3 3 4 5 4 5 4 3 3 4 4 4 4 5 4 4 4 4 5 6 7 7 6 5 5 6 5 5 5 6 7 8 9 12 13 11 11 14 21 29 32 22 9 5 3 1 6 6 2 1 2 0 1 1 1 2 3 4 5 6 6 8 11 11 8 5 5 5 4 5 10 15 16 15 11 5 5 10 9 12 13 10 6 5 6 4 4 5 10 10 -3 -5 4 3 3 5 5 4 7 9 9 9 6 1 3 13 19 13 4 2 2 -1 2 1 -3 -1 1 5 11 9 2 1 10 10 -3 -5 8 13 12 7 10 18 19 11 4 -3 -4 6 14 12 10 7 6 7 8 7 6 6 3 1 3 5 6 5 5 7 15 25 23 10 5 5 5 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 5 5 4 4 3 3 2 3 4 5 5 5 4 3 4 5 5 4 3 2 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 9 16 26 27 20 17 20 20 16 13 12 10 9 7 7 11 8 1 2 5 6 7 8 9 9 10 9 9 9 8 7 7 7 6 5 5 6 6 7 5 4 4 7 15 25 28 18 8 3 2 2 2 2 2 3 4 5 5 5 4 4 4 6 8 10 10 9 8 6 5 4 4 5 6 6 8 10 8 4 3 3 4 5 5 5 5 5 4 4 4 4 5 5 6 6 7 7 7 7 7 6 7 7 5 3 3 3 2 3 3 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 7 7 6 6 6 7 8 8 8 8 7 6 6 5 5 4 4 4 4 4 5 7 8 8 8 6 6 8 7 6 4 5 6 7 6 5 4 3 3 4 4 5 6 6 6 6 6 5 4 5 5 5 5 5 6 6 6 5 4 4 4 4 3 4 4 5 5 6 8 9 8 7 5 4 3 3 3 3 4 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 6 5 5 5 5 5 5 5 7 8 10 13 13 11 10 14 20 27 33 29 15 6 2 -2 -6 -1 0 -0 3 2 -0 0 1 1 2 3 3 4 5 6 7 9 13 14 11 7 5 3 2 4 10 13 15 15 7 6 5 8 12 12 12 11 6 4 3 4 9 12 8 -6 1 8 2 5 5 3 4 7 8 8 8 7 7 13 23 22 11 3 2 3 -3 -2 -6 -3 3 4 4 8 8 4 5 11 10 3 0 9 12 5 2 8 13 11 10 4 -3 3 15 15 9 8 6 6 7 8 7 6 6 4 4 5 5 4 4 5 11 23 29 18 7 4 5 5 6 6 6 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 5 4 5 5 5 5 5 6 5 5 4 3 3 3 2 2 3 5 6 6 5 4 4 4 4 3 2 2 3 4 3 4 4 4 5 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 5 4 4 4 4 5 4 4 5 5 5 6 5 6 6 6 7 7 7 8 10 12 17 25 25 18 15 18 17 13 10 10 9 8 6 7 8 6 1 2 5 6 7 7 8 9 9 10 12 12 12 11 10 9 8 8 7 7 6 6 5 6 5 5 8 15 22 19 12 7 4 2 2 2 3 3 4 4 5 5 5 4 3 4 6 8 10 10 9 7 6 5 6 6 6 6 6 6 5 3 2 2 3 4 5 6 6 5 4 4 4 5 5 4 5 6 7 8 8 7 7 6 6 7 6 4 3 3 3 2 2 2 3 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 6 7 7 8 8 8 7 7 6 6 5 6 5 5 4 5 6 7 8 7 6 6 7 8 6 4 4 5 6 6 5 4 4 3 3 4 5 5 5 5 5 5 5 3 4 4 4 5 6 7 8 8 6 5 5 4 3 3 4 4 5 6 7 9 10 9 7 6 4 4 4 4 4 4 4 4 3 2 3 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 3 3 4 5 5 4 5 5 5 5 5 6 8 11 14 14 11 8 13 22 27 27 24 18 11 5 1 -5 -6 -3 -2 -0 2 1 1 1 1 2 3 3 3 3 4 5 5 10 17 21 18 10 8 9 6 5 10 10 9 12 10 4 3 10 6 6 9 11 7 2 -0 3 9 9 3 3 9 7 5 6 5 3 2 5 7 7 7 8 10 17 23 19 10 5 7 7 3 1 -8 -1 10 12 9 5 2 1 2 -0 -2 3 7 12 13 3 -0 -1 3 8 8 -0 1 17 24 16 9 8 8 6 6 7 7 8 7 6 5 5 4 3 3 6 16 29 25 10 4 4 5 5 6 6 6 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 2 2 2 2 3 5 5 5 5 5 4 4 4 3 2 3 4 4 4 4 4 4 4 5 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 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 6 7 7 7 7 10 12 14 18 24 23 17 14 15 12 10 8 6 7 7 7 7 9 6 2 3 4 5 6 6 6 7 8 9 11 13 13 13 13 11 11 10 9 8 8 8 5 4 7 5 4 7 12 15 14 10 7 4 4 3 3 3 4 4 4 5 6 5 4 4 4 6 8 10 10 8 7 6 6 7 7 7 6 4 3 3 2 2 2 3 4 5 5 5 4 4 4 5 5 5 4 5 6 6 7 8 8 7 7 7 6 6 4 4 4 3 3 2 3 4 4 4 3 4 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 6 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 6 7 9 11 9 5 4 5 6 6 6 5 4 4 3 4 4 5 5 5 4 5 4 3 3 3 4 6 8 9 10 9 7 5 5 4 4 3 3 4 4 6 7 8 8 8 6 5 4 4 5 5 4 4 4 3 3 3 3 5 6 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 7 10 13 15 12 7 10 19 26 27 21 10 5 4 5 8 6 7 2 0 0 1 1 0 0 2 4 5 5 4 3 3 4 7 12 20 23 17 11 13 12 9 8 10 8 4 6 10 4 8 11 7 7 8 12 6 -0 -1 2 5 3 5 12 12 4 6 6 7 5 2 4 6 5 5 6 9 13 15 13 8 3 10 10 8 2 -3 5 13 17 14 7 1 -2 0 2 1 5 7 12 14 7 2 -4 1 20 11 1 11 27 26 15 9 8 8 8 7 7 8 8 7 5 4 5 4 3 3 8 21 29 20 6 4 4 5 6 6 6 6 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 2 2 3 4 4 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 4 4 5 4 5 5 5 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 9 12 16 18 19 20 18 14 13 11 9 8 6 4 4 6 7 7 9 8 4 4 4 4 4 5 5 5 7 7 6 8 9 9 10 11 11 9 8 8 8 10 7 4 6 7 6 5 6 8 10 10 9 8 7 6 5 5 4 4 4 5 5 5 5 4 4 5 7 8 9 9 7 6 6 7 7 7 6 6 4 4 4 4 3 3 4 4 5 5 4 4 4 4 5 5 4 4 4 5 6 7 7 8 9 8 8 8 8 6 4 5 4 3 3 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 6 6 6 6 5 6 6 7 7 7 7 7 8 9 11 11 9 8 7 7 6 6 6 8 11 13 12 8 5 5 6 7 7 7 6 5 4 4 5 4 4 4 4 3 3 3 3 4 5 6 8 10 10 9 7 5 5 4 4 4 3 4 4 5 6 7 7 6 5 4 4 4 5 4 4 4 4 3 2 3 4 6 6 5 5 5 5 4 3 3 4 4 4 3 3 3 3 4 5 4 4 3 3 4 4 4 6 9 12 14 13 8 8 14 19 22 24 19 7 -2 1 11 19 22 20 10 4 2 0 -1 -1 0 2 4 5 6 6 6 5 7 11 15 19 18 12 11 13 12 10 9 7 4 4 7 9 7 10 10 10 3 3 5 2 -2 0 4 6 4 6 9 7 0 4 7 7 7 4 4 4 3 3 3 6 8 9 8 6 4 8 8 4 -7 -1 5 12 13 9 7 5 2 3 9 15 15 5 3 9 13 7 -1 4 16 11 14 24 26 19 11 8 8 9 8 8 8 8 6 5 4 3 4 5 4 3 11 24 28 15 5 4 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 2 2 3 4 5 4 4 3 3 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 11 16 21 23 19 14 13 11 10 9 7 6 5 5 5 6 8 8 8 8 6 4 3 3 4 4 5 5 7 8 5 4 4 4 5 5 5 6 7 8 8 8 7 6 7 7 7 6 6 6 7 8 9 10 10 10 11 10 6 4 3 4 5 5 5 5 4 4 5 7 8 8 7 6 5 6 6 6 7 7 7 6 6 5 5 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 4 5 5 7 8 9 10 10 10 10 9 8 5 3 3 3 3 2 1 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 7 7 6 7 7 7 7 8 7 6 6 7 9 12 13 11 9 7 7 5 5 6 7 10 13 14 10 7 6 6 7 8 8 8 7 6 6 6 5 5 4 3 3 3 3 3 4 5 6 8 9 9 8 6 5 5 5 4 3 3 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 5 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 4 3 3 3 3 6 10 13 16 15 9 6 10 12 12 15 21 20 12 5 5 10 18 22 20 11 4 -1 -5 -5 -3 -0 2 4 5 6 7 9 13 16 15 14 14 13 11 10 10 9 11 9 5 5 8 10 9 7 2 -1 2 1 2 -0 -2 -2 0 5 7 4 3 2 2 3 2 4 4 4 4 5 4 2 1 2 4 6 8 8 7 9 10 9 5 -5 0 -1 4 9 5 6 8 8 7 8 15 19 6 -4 7 19 10 3 11 7 7 21 23 17 10 7 8 9 8 8 9 8 7 6 5 4 3 3 4 4 4 11 24 26 12 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 4 3 3 3 3 3 3 3 4 5 5 4 3 3 2 3 3 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 7 7 10 14 19 23 27 20 12 11 9 7 7 6 5 5 6 8 9 10 10 9 9 7 3 3 3 4 5 5 5 5 8 8 6 4 4 4 2 1 3 5 7 9 7 6 7 8 7 7 7 7 7 7 9 10 10 10 13 17 16 11 5 3 4 5 5 5 5 4 4 4 5 6 7 7 6 5 5 5 6 7 7 8 8 8 7 6 5 4 4 4 4 4 4 4 3 3 3 3 4 4 3 2 3 4 5 6 8 9 10 10 11 13 12 9 6 4 2 2 2 1 -1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 5 6 6 6 7 7 8 9 10 10 8 6 5 7 10 12 11 9 7 6 5 4 5 6 8 12 14 12 8 6 7 7 8 8 8 8 7 7 8 7 6 6 4 4 3 3 4 4 4 6 8 8 7 6 5 4 4 4 4 3 3 2 2 3 4 5 5 5 4 4 4 4 4 3 3 3 3 2 3 4 5 6 6 6 5 5 5 4 3 2 2 2 3 3 3 3 4 4 4 5 5 4 3 2 4 9 16 20 20 14 5 2 8 9 8 12 17 16 12 14 11 8 8 11 10 5 -4 -9 -11 -8 -3 1 3 4 4 6 8 13 20 21 16 10 9 10 11 11 9 8 11 10 8 9 8 4 4 1 -3 1 5 5 3 2 3 3 1 5 4 1 1 1 1 2 -1 -0 1 0 3 4 4 3 3 5 7 8 9 9 9 10 10 13 12 14 13 4 2 3 3 6 9 11 9 7 10 14 10 6 14 17 6 4 11 11 13 20 18 11 7 8 9 9 7 7 10 10 8 6 5 4 3 4 4 5 5 11 23 26 13 4 6 7 6 6 6 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 5 4 4 3 2 2 4 4 4 5 6 6 6 6 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 12 17 19 19 23 21 13 11 8 6 6 6 4 3 7 11 12 11 10 11 11 7 3 3 3 4 4 4 4 4 5 6 6 6 5 5 3 2 3 5 6 8 8 7 8 7 7 7 7 7 7 8 9 10 10 11 14 19 21 16 9 5 4 4 4 5 5 6 5 5 4 5 5 6 7 6 5 5 6 6 7 7 8 8 8 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 4 5 6 7 8 10 13 14 13 9 7 5 4 4 2 -0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 6 5 6 6 6 7 9 11 13 12 9 5 5 7 9 10 8 7 5 5 4 4 5 7 11 14 13 9 7 7 7 7 7 8 7 7 8 9 9 8 9 8 6 5 5 4 4 4 6 7 8 6 5 3 2 2 3 3 3 2 2 2 3 3 3 4 4 4 3 3 3 3 3 2 2 1 2 2 4 5 6 6 6 6 5 5 4 3 2 2 2 2 2 3 3 3 3 4 4 5 4 3 3 8 16 21 20 15 9 1 -2 6 10 7 9 11 9 7 12 10 6 1 1 -1 -7 -13 -14 -11 -6 -1 3 5 5 6 8 12 19 22 19 12 7 5 6 7 9 11 10 8 8 8 8 7 5 6 4 4 9 11 6 3 5 10 7 2 9 5 0 2 3 2 -2 -4 -1 1 2 4 3 2 2 4 8 7 4 5 8 10 10 10 12 13 21 19 13 8 -2 -2 7 13 10 4 2 6 7 7 14 25 12 3 7 16 19 17 18 16 10 8 11 10 8 7 7 10 11 9 7 5 4 4 4 6 5 6 11 22 26 14 6 7 7 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 5 5 5 5 6 5 4 4 5 5 5 5 4 4 4 3 3 3 3 3 4 5 5 4 4 4 3 3 3 4 4 5 6 6 7 6 6 5 4 4 4 4 3 3 3 4 4 4 5 5 5 6 6 5 6 6 6 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 14 20 22 15 14 16 13 9 7 6 6 4 1 -1 4 11 13 11 9 11 12 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 3 3 4 4 5 5 7 7 7 8 7 7 7 7 7 8 9 9 9 9 12 16 20 21 16 9 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 7 7 6 6 6 5 5 5 4 4 4 4 3 2 3 3 3 3 2 3 2 2 2 2 3 4 4 5 7 10 11 11 11 10 8 7 6 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 6 5 5 5 5 6 6 6 6 6 7 10 13 14 13 9 6 4 3 3 3 4 5 4 3 4 4 5 9 13 14 12 10 8 7 7 6 6 6 7 7 7 7 8 9 10 10 10 9 9 8 7 7 6 6 6 6 5 5 4 4 4 4 4 5 6 5 4 4 3 4 4 5 5 5 5 5 5 4 2 1 2 2 3 4 5 6 6 5 5 5 4 3 2 2 2 1 2 3 3 4 4 5 10 17 19 16 10 3 -1 -0 2 3 1 8 19 21 14 2 -5 -7 -12 -17 -18 -13 -10 -9 -7 -4 -1 2 6 9 11 13 16 18 15 11 9 9 10 11 11 11 10 8 9 12 11 12 12 8 6 5 6 8 4 7 10 7 5 3 4 4 5 15 13 11 2 1 4 5 5 6 5 5 8 9 7 5 9 12 9 7 5 7 5 6 5 4 5 5 5 11 10 -7 -8 8 14 15 4 -7 -3 6 14 17 19 21 21 21 18 15 14 13 11 8 6 5 6 8 10 10 9 8 6 4 4 6 6 5 5 5 5 7 15 21 17 9 6 6 7 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 3 2 2 2 2 3 4 6 7 7 6 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 6 8 13 20 21 14 9 8 8 6 5 5 5 4 5 5 5 5 6 7 6 5 2 5 6 5 4 4 4 4 3 3 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 6 5 5 5 6 6 7 7 8 8 8 10 13 16 18 17 14 9 6 5 5 5 5 4 4 5 5 5 5 6 5 4 4 4 4 4 5 5 5 6 5 5 4 5 6 6 6 5 5 5 5 4 4 5 4 3 3 3 3 3 3 3 4 4 4 5 6 6 5 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 4 5 5 6 6 6 6 6 8 11 13 13 12 9 6 4 3 3 4 5 5 4 4 3 4 6 9 11 11 11 10 9 8 7 7 7 6 6 5 5 5 5 5 6 7 7 8 7 7 7 7 7 7 7 7 6 5 4 4 5 5 6 7 7 6 6 5 4 5 5 5 6 7 8 8 6 4 3 3 3 3 3 5 6 7 6 5 5 4 4 3 3 2 2 3 3 3 4 5 10 18 20 12 7 3 -1 -0 3 5 3 1 14 20 25 22 9 2 2 0 -0 -0 -0 -1 -2 -2 -0 2 5 8 10 12 15 18 15 12 10 8 7 8 10 10 11 13 13 14 16 13 11 9 5 2 4 11 10 4 3 4 5 3 5 7 5 4 9 3 2 5 1 4 8 9 8 6 6 7 6 4 4 7 9 10 9 10 11 6 7 5 3 4 5 6 10 4 -9 -6 8 18 17 7 -3 0 7 10 12 17 20 19 16 13 10 9 10 9 6 4 4 6 7 7 8 9 8 6 4 4 5 6 4 4 4 5 7 11 16 17 14 9 6 6 6 5 6 5 6 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 3 3 1 1 2 3 4 5 7 7 6 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 4 4 5 5 6 6 5 5 5 4 4 5 4 4 4 4 5 6 8 14 22 20 12 7 6 6 6 6 6 5 5 5 5 5 6 6 6 3 0 0 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 5 5 6 6 6 6 5 4 4 4 4 4 5 7 8 8 8 9 12 16 18 19 16 12 8 6 6 5 5 5 4 4 5 5 6 6 5 4 3 2 3 3 4 5 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 4 5 6 5 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 5 5 5 5 5 5 5 6 7 10 13 13 12 9 6 4 4 3 4 5 5 4 4 3 4 6 8 9 10 11 11 9 8 6 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 6 6 5 4 5 5 5 6 7 7 8 8 7 6 5 5 6 7 8 9 9 9 8 7 6 5 4 4 4 5 7 8 8 6 5 5 4 4 3 3 3 4 4 5 10 17 20 15 8 3 -1 -2 3 7 7 2 3 18 14 21 25 7 -4 -3 -0 2 3 1 -1 -2 -1 2 5 8 10 11 14 16 15 13 12 14 12 7 5 6 8 10 14 13 13 12 9 9 7 3 1 6 8 3 3 4 4 5 7 9 9 5 5 8 1 0 5 2 5 10 11 9 9 9 9 7 6 4 1 6 13 11 12 7 5 8 7 5 4 6 11 14 5 -5 -1 6 11 9 5 5 7 9 8 11 14 14 13 11 10 9 8 9 7 4 4 7 7 6 5 7 10 9 7 4 3 4 4 4 3 4 6 7 9 12 20 21 12 6 6 7 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 3 2 1 2 2 3 4 6 7 6 5 3 3 4 4 5 4 3 3 4 5 5 5 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 4 5 6 8 11 21 22 12 8 6 6 6 7 6 6 5 4 4 5 6 6 5 0 -4 1 6 7 6 6 6 6 6 5 5 4 4 4 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 3 3 3 4 5 6 7 8 8 9 11 14 17 19 18 14 11 9 7 6 6 4 4 4 5 6 6 6 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 7 6 5 6 6 6 6 6 6 6 6 4 2 1 2 2 2 4 5 5 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 7 7 6 5 5 5 4 5 5 4 3 6 10 13 14 12 10 7 6 4 4 5 5 4 4 4 3 4 5 6 8 10 10 9 7 5 4 3 3 4 4 4 5 4 4 4 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 7 6 6 6 6 6 7 7 9 9 8 7 5 5 4 4 5 7 9 10 8 7 6 5 4 4 4 4 4 6 11 16 14 8 5 2 -2 -2 1 9 11 8 3 2 1 1 8 14 -5 -16 -18 -13 -8 -4 -3 -2 -2 1 4 7 10 13 16 18 17 12 9 13 18 18 11 3 0 5 12 13 11 10 9 5 7 11 8 3 5 4 -1 4 8 6 4 9 10 7 8 11 11 7 6 6 6 5 6 6 8 9 10 9 9 10 6 2 10 17 11 7 4 8 7 2 3 6 11 22 28 18 5 5 5 4 1 4 6 8 10 9 13 12 10 9 9 8 8 8 8 7 5 6 7 6 5 4 8 11 11 8 4 2 2 3 4 4 5 7 8 8 11 22 26 14 5 5 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 3 4 5 5 5 4 3 3 2 2 2 2 4 5 6 6 5 4 4 5 5 5 5 4 4 3 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 4 4 4 4 5 5 8 12 10 13 18 12 8 7 6 7 7 6 5 4 3 4 5 6 6 7 3 -3 1 6 6 7 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 6 6 6 6 5 5 4 3 3 3 3 4 5 6 6 7 8 9 9 11 14 16 17 16 14 11 10 9 7 5 6 6 6 6 6 5 4 4 4 4 4 4 5 5 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 5 4 2 2 2 1 2 2 5 6 5 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 10 9 8 7 6 5 7 6 4 2 3 7 11 14 15 14 11 8 6 5 5 5 5 5 4 4 4 4 4 5 7 8 7 6 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 7 7 7 8 8 8 7 7 6 5 5 4 4 5 6 6 6 6 5 5 5 6 7 10 11 10 8 7 5 4 5 5 4 4 6 9 9 2 -5 -6 -8 -5 4 9 13 12 9 5 -3 -17 -5 2 -3 -13 -18 -18 -14 -9 -3 -1 0 2 5 7 9 16 24 27 23 16 9 6 10 17 17 10 2 -0 5 12 11 10 10 12 8 6 10 9 4 4 3 2 4 5 4 5 11 7 3 9 11 8 10 12 9 7 6 5 5 5 5 8 8 10 11 7 9 18 19 13 6 6 9 3 -1 2 9 17 27 30 19 10 6 3 -1 1 4 3 6 12 14 13 10 7 6 5 5 6 7 8 7 6 5 5 5 5 6 8 11 10 8 6 3 1 1 3 4 6 7 8 8 15 27 26 12 4 5 6 7 6 6 5 5 5 6 5 5 5 5 5 5 6 6 6 5 5 5 3 3 3 3 4 4 4 5 5 5 4 3 2 3 3 3 4 4 5 6 6 5 5 5 6 6 6 5 4 4 4 4 4 5 6 5 5 5 4 4 3 3 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 5 5 5 5 4 4 4 4 5 6 11 17 13 7 11 11 8 7 6 6 6 6 5 5 6 6 6 7 7 7 6 3 3 5 6 6 6 7 8 8 7 7 7 6 5 5 4 4 4 4 3 4 4 4 5 5 5 5 6 6 5 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 6 7 8 9 10 12 14 15 16 15 15 14 11 11 11 10 6 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 6 6 7 8 7 6 7 7 7 8 8 7 6 5 4 2 2 2 2 3 4 5 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 14 14 13 13 13 11 8 7 8 9 6 2 2 5 9 13 15 16 14 12 9 7 5 5 5 5 5 5 5 4 4 4 5 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 5 5 6 6 7 7 8 8 8 8 7 6 5 5 4 4 4 4 4 5 5 6 6 7 6 6 7 9 11 10 8 6 5 5 5 5 5 6 7 5 0 -3 -5 -5 -6 3 11 12 11 8 7 5 -2 -11 -1 9 2 1 -1 -1 0 2 4 5 6 7 7 9 14 24 33 32 23 14 7 4 7 10 11 7 3 2 4 8 8 9 9 12 10 7 5 2 3 5 4 5 4 2 4 10 9 2 1 5 5 5 10 13 10 7 7 7 4 2 4 9 10 10 8 7 14 21 22 22 16 9 6 3 4 3 4 13 16 12 8 8 5 -0 -0 6 5 4 11 20 21 14 8 5 4 2 2 4 7 8 7 5 5 3 4 6 7 7 9 9 8 7 5 2 1 2 3 5 6 7 10 18 23 19 13 7 5 6 6 6 6 5 4 5 6 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 4 3 4 4 4 5 6 6 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 7 13 21 18 8 7 9 8 7 7 6 6 6 6 8 9 9 8 8 6 4 4 5 6 6 6 6 7 7 7 8 9 8 7 7 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 6 7 9 10 12 12 13 14 14 13 14 19 22 21 15 8 6 4 5 4 4 5 6 6 5 5 5 6 6 5 5 4 4 6 8 9 8 6 6 6 7 8 8 8 8 7 6 4 4 3 4 3 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 16 17 17 16 17 16 14 11 9 9 10 8 5 2 3 7 10 14 15 15 14 13 10 7 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 4 3 3 4 5 5 5 5 6 7 8 9 9 8 7 6 5 5 4 4 5 5 6 6 6 7 7 7 7 7 8 10 11 10 8 5 5 6 6 5 7 10 9 5 2 1 2 3 4 8 9 7 6 4 6 8 5 -1 3 11 13 17 15 12 10 9 9 9 10 8 7 12 18 24 23 20 18 12 5 4 7 8 8 6 5 6 6 5 5 9 9 7 7 10 8 3 4 4 3 6 6 3 6 9 3 0 5 5 3 5 8 8 5 5 10 12 8 7 10 12 12 9 6 7 14 21 24 24 19 11 6 6 7 5 2 5 -1 -0 6 6 2 -1 3 9 5 8 17 21 19 13 7 4 2 2 4 5 6 7 6 5 4 2 4 6 6 6 6 5 5 6 6 4 2 1 2 3 4 6 9 13 14 15 17 13 7 6 5 5 5 4 4 5 5 5 5 4 4 5 6 6 7 7 7 7 7 7 6 5 5 6 5 6 6 6 4 3 3 2 3 3 4 4 5 5 6 7 7 7 7 6 5 4 4 4 3 3 4 5 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 8 13 20 18 9 7 8 7 7 7 7 7 6 8 10 10 9 7 7 5 1 2 5 6 6 6 7 7 7 8 9 9 9 9 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 7 8 10 10 11 11 11 12 17 25 32 29 20 10 5 4 3 4 6 6 6 5 6 6 6 6 5 5 4 4 4 7 9 8 7 5 5 6 7 8 8 8 8 8 7 6 6 6 6 5 5 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 16 17 17 18 18 18 17 15 12 11 12 11 8 3 2 3 7 10 12 14 15 15 12 9 7 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 7 6 6 5 5 4 4 4 4 4 5 5 5 5 6 8 9 10 9 8 7 6 6 6 6 6 6 7 7 7 8 8 7 8 8 9 11 12 11 8 6 5 6 7 6 4 2 1 3 3 4 4 4 5 6 8 6 -0 4 13 15 11 5 3 8 12 16 17 15 13 12 12 12 9 7 10 16 19 15 10 11 15 10 3 3 7 10 11 10 8 8 8 5 4 7 10 5 5 10 9 6 5 3 4 6 6 8 12 12 4 3 5 3 3 5 6 4 2 6 15 16 12 12 13 10 11 8 3 6 14 20 20 15 8 6 7 9 8 7 7 2 -4 4 10 7 -0 -4 2 8 7 9 12 12 10 8 5 5 5 6 6 6 7 7 6 4 2 1 4 6 6 5 4 2 2 4 6 7 5 3 2 2 4 5 6 7 8 13 17 15 13 12 7 4 5 4 4 4 5 4 4 4 5 6 6 6 6 7 8 8 8 7 7 6 6 7 7 6 6 5 4 3 3 3 3 4 4 5 8 9 8 8 8 7 6 5 5 4 3 3 3 3 4 5 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 5 5 5 5 6 9 13 16 14 9 7 8 7 7 7 8 7 7 9 9 7 6 6 5 2 0 2 5 6 6 6 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 6 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 7 7 6 6 6 5 5 5 4 4 4 4 4 4 5 6 7 7 9 9 9 10 11 18 29 36 32 18 7 4 3 4 5 4 5 6 6 6 5 5 5 5 5 4 4 6 7 6 6 5 5 5 7 7 7 7 8 8 8 8 7 8 8 8 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 13 15 16 17 18 18 17 15 14 14 14 12 6 3 2 3 5 8 11 14 15 13 11 9 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 7 8 8 8 7 6 7 7 6 5 5 4 4 4 3 4 4 4 5 5 6 7 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 11 9 7 6 6 7 7 2 -5 -4 1 3 4 4 4 4 7 11 5 -2 10 26 24 13 9 13 16 16 18 18 16 15 14 12 10 7 9 14 18 15 9 7 11 15 11 3 3 5 9 12 13 13 11 6 5 4 3 6 5 7 9 6 6 4 3 7 10 7 8 12 13 10 5 3 5 4 4 6 5 3 10 20 17 12 13 10 4 5 4 2 8 16 20 16 5 0 2 5 7 8 9 7 -1 7 13 7 1 -4 -5 2 10 12 10 7 6 6 5 5 9 11 10 8 7 7 7 5 3 1 1 5 7 7 6 4 3 2 2 4 7 8 6 4 4 5 4 3 4 6 9 10 14 20 19 9 5 5 4 4 5 5 4 4 5 6 6 6 6 6 7 8 8 8 8 7 7 8 7 7 6 5 4 4 4 3 4 6 5 4 7 12 12 10 9 8 7 6 5 4 4 3 3 3 3 4 5 6 6 6 6 5 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 5 4 5 6 10 15 17 14 9 7 8 7 6 7 7 7 8 8 8 5 5 5 3 -1 0 4 5 6 6 7 7 7 7 7 8 9 10 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 6 7 6 6 6 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 11 19 28 30 22 13 9 5 4 4 3 4 5 5 5 5 5 4 5 6 5 4 4 4 4 4 4 5 6 7 7 7 7 7 7 7 6 6 7 8 7 7 8 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 10 11 12 13 14 15 16 16 15 15 15 14 10 5 2 2 2 5 8 10 13 13 12 10 8 8 7 7 6 6 5 5 5 6 7 7 7 7 7 5 5 6 7 7 7 7 8 9 9 8 7 7 6 6 5 5 4 5 5 4 4 4 4 4 4 5 6 8 8 9 8 8 8 8 10 11 11 10 9 7 7 7 8 9 9 8 8 9 11 11 10 8 7 6 7 6 2 1 2 3 4 4 4 4 5 8 8 0 -2 12 32 37 29 21 20 17 17 18 18 16 15 13 9 8 9 14 18 15 9 5 6 11 14 10 7 7 7 9 11 14 15 11 6 5 5 3 3 5 10 8 4 5 3 6 12 12 7 6 5 4 4 4 7 9 6 8 8 7 7 14 19 15 14 14 7 2 3 3 4 10 16 20 17 9 6 6 4 5 7 8 6 5 17 12 0 -5 -7 -2 4 13 18 13 6 6 6 4 6 11 14 12 9 7 7 7 5 3 2 3 5 7 8 8 6 6 6 5 4 6 8 9 8 7 5 3 3 4 5 6 7 12 20 17 8 10 12 6 4 4 4 3 4 5 6 6 5 5 6 6 7 7 8 7 7 8 8 8 7 6 4 4 4 4 3 5 6 5 6 9 12 13 10 9 7 6 5 5 5 4 4 3 3 3 4 5 6 6 7 6 5 4 4 3 3 4 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 3 3 3 3 3 3 4 4 3 3 3 4 4 4 5 7 10 16 19 15 9 7 8 6 7 7 6 6 7 7 6 4 4 4 2 -4 -1 5 6 6 6 7 7 7 7 7 8 8 8 9 10 10 9 9 9 9 9 9 8 8 7 8 8 7 7 7 6 6 6 6 5 5 4 5 6 6 7 7 7 8 7 6 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 8 10 14 20 22 21 19 15 10 6 4 4 5 5 5 4 3 4 5 6 6 5 4 3 3 3 3 4 6 8 8 8 8 7 6 5 5 4 4 5 6 6 7 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 8 8 16 19 19 16 14 11 12 7 10 18 17 14 13 14 9 3 3 6 13 19 20 15 7 4 5 10 11 12 12 12 13 14 14 14 14 12 11 12 12 12 12 11 12 13 13 14 15 16 15 14 14 16 16 15 12 8 7 6 7 7 8 7 6 7 10 10 10 8 9 12 12 11 9 9 9 10 11 12 12 10 8 8 9 10 10 9 10 12 13 13 13 13 12 12 12 12 11 11 11 12 13 13 13 13 13 14 15 14 13 13 12 11 10 10 10 11 12 12 12 11 11 12 13 16 16 12 11 11 12 13 14 14 13 12 11 12 14 16 18 19 19 18 16 15 13 11 10 11 12 14 14 14 16 16 15 14 14 13 12 12 13 12 11 12 12 11 10 10 11 12 14 14 14 13 11 7 6 8 15 18 14 13 14 15 16 17 17 16 16 16 16 17 17 17 18 18 19 20 20 21 20 18 15 13 11 11 12 11 12 13 14 15 18 18 19 20 21 20 21 21 21 20 18 16 14 15 15 17 18 17 16 16 17 17 17 17 17 17 19 20 19 17 15 15 15 14 13 13 13 12 12 13 13 13 13 13 13 15 15 15 14 14 14 13 12 12 12 13 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 9 9 11 13 15 16 16 13 9 7 7 7 8 8 9 10 10 10 11 11 12 12 11 12 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 11 12 12 12 12 12 12 11 10 10 11 10 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 13 14 14 14 12 12 16 16 13 10 6 3 3 7 11 13 12 12 12 13 13 14 14 14 14 15 16 18 20 23 25 24 23 21 19 18 16 15 15 17 17 17 18 18 18 17 16 13 12 11 8 7 6 8 10 11 11 11 12 12 11 11 11 13 13 12 11 11 11 12 13 13 13 13 12 13 15 15 16 15 14 13 13 15 20 23 21 14 8 9 12 14 13 13 13 13 14 14 13 12 13 14 14 15 15 16 17 16 16 15 13 13 13 13 13 12 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 4 2 12 20 20 14 12 11 15 13 7 5 9 14 17 14 10 7 7 9 12 13 14 13 12 11 10 12 12 10 10 11 13 14 13 12 14 15 15 15 16 16 16 15 16 19 21 19 13 8 6 5 6 8 10 10 9 8 8 8 9 10 10 12 12 13 13 13 12 12 14 15 16 14 10 8 8 8 8 9 10 12 12 12 12 12 11 11 11 11 12 12 12 12 13 13 14 14 13 13 13 14 13 13 12 10 10 11 11 11 12 12 12 12 11 12 12 14 14 12 11 10 12 14 16 14 13 13 13 13 15 16 17 17 17 14 14 14 13 13 12 12 12 12 12 14 15 16 15 14 13 13 12 12 12 12 12 12 12 12 11 10 11 13 14 14 13 12 11 5 2 3 12 19 18 16 16 16 18 19 18 17 16 16 17 17 17 18 20 19 18 18 20 20 19 17 14 12 11 12 13 14 14 15 16 18 19 19 19 19 19 18 18 18 18 19 17 16 15 15 15 16 18 19 17 16 17 16 16 14 12 9 7 9 12 15 17 16 15 15 14 14 14 13 13 13 13 13 14 15 15 16 16 15 14 14 13 13 13 13 12 13 13 13 13 13 14 13 13 12 12 11 10 11 11 11 11 11 11 10 10 8 8 10 12 15 16 16 14 11 8 7 7 7 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 10 10 12 13 12 12 12 11 11 11 11 11 10 10 10 11 12 12 13 12 12 12 11 11 11 12 12 12 12 13 14 14 15 15 14 11 7 3 3 6 9 13 14 13 12 11 11 12 14 15 15 14 15 15 16 18 22 26 25 22 20 19 18 18 17 17 17 16 16 16 16 15 14 13 12 12 10 11 11 8 8 10 11 11 11 11 11 12 12 11 12 12 12 11 10 10 11 14 15 15 13 13 12 13 15 15 15 15 14 14 14 15 19 21 19 12 7 10 12 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 16 16 16 15 14 13 13 13 14 13 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 12 10 15 15 10 4 5 8 11 12 11 10 12 12 13 14 15 13 11 12 12 13 11 9 9 11 14 15 14 13 12 12 14 15 16 17 17 16 18 21 25 21 15 10 7 7 8 10 12 13 12 11 10 11 11 11 10 11 13 13 13 13 13 13 14 15 17 16 13 10 7 6 6 9 11 12 12 11 11 11 11 11 11 12 11 12 13 13 13 13 13 13 13 14 14 14 13 11 10 10 11 13 13 12 12 11 12 12 12 12 12 12 12 12 13 13 14 16 14 12 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 13 11 12 13 13 14 14 14 13 12 12 12 12 12 12 13 12 12 12 12 13 13 13 13 14 13 12 10 7 6 10 13 12 13 18 22 22 20 19 18 17 17 16 17 18 20 20 18 17 17 18 20 21 19 15 13 13 15 16 18 19 20 20 20 20 19 19 19 18 18 17 17 18 18 18 18 18 16 15 14 16 18 16 15 14 13 13 13 12 9 6 7 10 13 15 15 15 15 14 14 14 14 14 14 14 14 14 15 14 15 15 16 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 11 10 10 11 11 11 11 11 10 10 11 12 13 15 15 14 11 7 5 6 8 9 10 10 9 8 7 6 7 8 9 10 11 11 11 10 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 12 11 11 10 9 10 10 11 13 13 13 13 13 12 12 12 11 12 12 12 13 14 16 16 16 15 13 10 7 7 10 14 15 15 13 13 12 12 12 13 15 15 15 15 15 16 17 19 22 23 22 19 17 16 17 16 15 16 16 17 17 15 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 12 12 12 12 10 9 11 15 15 15 14 12 12 12 13 14 14 15 15 15 16 16 14 15 21 18 12 11 10 10 10 12 13 13 12 12 14 15 14 14 14 14 14 14 14 15 15 15 15 14 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 11 14 14 12 13 13 12 11 11 11 11 12 13 13 11 10 11 13 14 14 13 11 10 10 10 11 13 14 14 14 15 20 23 20 16 13 10 9 9 10 11 11 12 13 14 14 14 12 11 11 13 13 13 11 11 10 11 13 16 17 15 11 7 4 4 8 11 11 10 11 11 11 11 10 11 11 11 12 13 14 14 13 13 12 13 14 13 13 12 12 11 11 13 14 14 14 13 12 12 12 12 12 12 13 13 12 12 13 14 15 14 14 13 13 14 14 15 13 13 12 14 16 14 14 14 14 14 14 13 12 12 13 13 13 14 14 13 12 13 13 13 12 12 12 12 12 12 13 13 13 13 14 13 13 13 14 12 10 10 6 2 3 19 30 25 22 21 20 19 18 18 19 20 21 20 18 17 18 20 23 24 21 17 18 18 21 25 27 27 24 23 22 20 19 17 16 15 16 16 16 15 15 16 16 16 16 15 14 16 17 17 16 15 14 13 13 14 14 12 10 9 10 11 12 14 15 15 14 14 14 14 14 14 14 13 13 13 14 14 14 14 14 14 13 14 13 13 13 13 12 12 11 12 12 12 12 11 11 11 10 11 11 10 11 11 12 13 15 17 17 14 11 8 5 6 8 10 12 12 12 11 10 8 7 6 7 7 7 9 10 11 11 10 10 10 11 11 11 11 10 10 11 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 10 9 9 10 11 12 13 13 13 13 13 13 13 13 12 12 12 12 15 18 17 16 14 12 11 11 9 11 14 15 14 13 13 12 13 13 13 14 15 15 15 15 16 16 17 20 24 25 22 18 16 15 14 14 14 15 16 16 15 15 13 13 12 12 12 11 11 11 10 10 11 11 11 10 10 11 11 11 13 13 13 14 12 10 10 12 15 15 14 12 11 11 13 13 13 14 14 14 14 15 17 16 16 18 19 16 13 10 9 11 13 15 14 11 10 11 14 14 14 14 15 14 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 13 14 12 13 12 11 11 12 14 14 13 12 11 11 11 10 9 9 10 12 15 15 17 17 16 16 15 14 12 10 10 8 7 10 13 18 20 18 14 13 13 13 13 11 10 8 8 9 12 16 17 15 12 8 4 3 7 11 12 12 14 15 14 9 7 9 9 10 12 13 13 13 13 13 13 12 13 12 11 11 11 11 13 14 13 14 15 15 14 13 12 11 12 14 15 13 12 12 12 13 14 15 15 13 13 13 13 13 14 14 13 14 15 15 15 14 14 13 14 13 13 13 13 13 13 14 14 13 13 13 14 14 13 13 13 13 12 13 13 13 14 14 14 14 14 13 13 13 12 11 3 -8 -11 9 32 36 34 29 25 23 22 23 24 25 25 22 20 19 21 23 26 25 22 21 21 21 24 31 36 33 27 24 19 16 15 14 15 14 15 15 15 14 13 12 13 13 14 15 15 15 14 14 13 13 12 12 11 10 11 10 10 9 8 9 10 12 13 14 14 14 14 14 14 14 14 14 14 14 13 14 14 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 17 18 19 18 14 10 7 6 8 9 10 12 13 12 11 10 10 10 10 9 9 9 8 9 9 11 10 10 10 11 11 11 11 11 10 10 10 10 10 9 10 12 13 13 12 12 12 12 12 11 10 9 10 10 10 11 12 12 12 12 13 14 14 13 14 14 13 13 12 13 15 18 16 11 9 9 10 10 11 12 13 14 14 13 13 13 14 14 14 14 15 15 15 15 15 15 18 23 26 27 26 20 15 13 12 13 14 15 15 14 12 12 11 10 9 10 11 11 11 10 10 10 10 11 13 12 12 12 12 12 13 13 13 13 13 12 12 13 14 14 12 11 11 13 13 13 13 13 14 14 13 13 14 14 16 18 19 17 13 11 11 12 14 15 14 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 7 10 14 17 17 16 13 11 11 13 14 16 18 20 22 25 27 26 24 25 26 25 24 22 20 20 19 18 17 16 16 17 14 12 11 11 10 10 9 9 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 2 0 1 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 6 7 10 11 9 6 5 5 6 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 0 0 0 0 0 0 0 0 3 17 35 49 68 90 98 83 53 30 39 70 97 114 120 122 121 120 117 114 110 105 94 78 57 38 23 15 8 1 1 3 5 4 2 1 0 0 1 3 2 2 4 5 1 5 11 14 15 15 21 32 47 66 92 116 122 112 102 105 114 115 105 98 107 108 91 80 105 139 154 156 151 139 124 108 79 49 34 28 19 14 27 46 56 58 48 34 30 32 42 66 97 117 118 100 70 45 32 35 41 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 7 6 6 6 6 8 10 15 18 20 19 15 14 15 16 18 19 21 22 22 23 24 24 25 25 24 24 23 22 22 21 19 18 16 16 15 13 11 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 2 1 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 5 5 6 6 7 6 6 6 7 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 32 68 91 86 59 28 7 10 21 41 65 90 104 110 112 109 106 101 94 89 81 68 52 36 24 15 6 1 0 1 0 0 0 0 0 0 1 1 1 1 1 0 2 10 13 13 6 3 8 20 45 68 103 123 117 105 106 116 121 122 121 126 128 126 130 148 164 178 182 177 161 142 122 100 73 53 40 35 44 58 66 72 78 70 50 33 27 32 54 86 108 111 96 68 40 23 19 21 nan nan nan nan nan nan nan nan nan nan nan 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 8 9 7 6 6 6 6 7 10 13 17 19 17 16 16 17 18 20 21 23 24 24 24 24 24 24 23 22 21 20 20 19 18 18 17 16 14 12 10 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 2 2 1 1 0 1 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 5 5 5 6 7 7 7 7 7 8 8 7 6 7 6 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 2 7 13 33 68 84 66 34 10 0 1 2 3 18 48 73 92 105 107 104 97 86 77 73 68 60 50 39 27 16 8 4 4 3 2 0 0 0 0 6 8 8 4 1 0 7 13 11 8 6 4 4 9 34 62 93 120 123 114 111 115 118 120 120 121 124 127 134 140 149 166 178 178 168 152 140 132 110 82 54 54 70 81 87 90 93 88 74 52 35 33 46 69 91 102 96 69 37 17 8 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 3 9 10 9 7 6 6 6 6 6 7 10 12 13 14 15 16 17 18 20 22 24 25 25 25 24 24 23 21 19 17 16 15 14 14 14 13 12 10 9 9 7 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 3 3 4 5 6 6 6 6 5 4 3 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 5 6 7 7 8 7 7 6 6 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 21 41 71 74 46 17 2 0 0 0 0 0 5 33 59 84 99 98 90 78 68 65 66 65 64 57 43 25 14 9 7 5 4 3 2 0 2 12 21 19 8 1 0 4 9 6 1 4 14 30 43 66 94 115 132 135 126 117 112 111 112 113 118 121 121 120 120 122 143 167 173 165 157 155 158 140 108 77 77 90 98 99 99 98 95 88 71 49 36 39 54 71 89 98 81 53 30 17 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 8 11 10 7 6 5 6 6 6 6 5 6 8 10 12 14 15 16 17 19 22 23 24 25 24 24 22 20 16 13 12 12 11 11 11 11 11 10 9 9 8 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 2 2 2 2 1 1 1 1 2 2 3 4 5 5 6 6 6 5 4 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 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 1 4 6 8 8 8 7 4 2 2 2 2 3 3 2 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 25 49 74 64 29 8 0 0 0 0 0 0 0 7 22 42 62 70 67 59 52 49 53 61 68 69 61 42 24 14 10 8 7 6 3 1 4 14 27 28 14 1 0 4 18 37 36 10 10 41 75 99 120 132 143 147 139 127 113 104 104 108 115 118 117 113 110 111 127 151 162 160 157 158 164 155 127 101 96 102 104 102 101 101 102 96 81 59 40 38 48 63 82 99 99 82 64 53 45 46 nan nan nan nan nan nan nan nan nan nan 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 8 10 10 8 5 3 5 8 7 6 6 5 6 8 9 11 12 13 14 16 18 20 22 23 23 22 20 16 13 11 10 11 11 11 11 10 10 10 9 9 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 8 6 3 0 0 0 0 0 0 0 0 0 0 1 4 8 9 5 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 44 65 47 14 3 0 0 0 0 0 0 0 0 3 9 17 29 33 29 24 23 27 38 51 61 65 58 42 28 19 15 13 11 7 2 2 8 19 27 26 14 13 14 33 81 93 58 29 52 102 122 130 138 141 141 141 135 121 107 104 110 118 121 120 117 114 115 125 145 158 159 155 156 162 160 144 127 118 112 107 106 109 115 117 105 84 61 46 42 53 69 87 104 110 102 98 94 92 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 20 16 12 10 10 9 6 2 2 6 8 7 6 5 6 7 8 9 10 10 11 14 16 18 19 20 20 18 16 13 11 10 11 11 12 12 11 11 10 10 9 9 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 1 1 1 2 2 3 4 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 0 0 0 0 0 0 0 2 6 12 14 11 4 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 6 34 52 26 6 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 2 3 6 12 23 36 47 53 51 42 31 24 23 22 17 10 3 1 5 15 38 40 46 41 55 108 134 125 97 110 133 136 140 141 132 124 127 130 127 118 113 113 119 124 127 126 126 130 140 153 160 158 154 154 157 157 155 150 142 132 124 120 122 128 129 110 85 64 53 54 68 86 100 110 114 110 108 109 110 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 13 18 16 12 10 10 7 2 1 2 5 7 6 5 6 7 8 8 8 8 8 11 14 16 16 16 16 15 13 11 10 10 11 12 12 11 11 11 10 10 10 9 9 9 9 8 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 1 0 0 1 2 2 2 2 3 4 4 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 16 12 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 12 11 30 40 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 26 33 41 42 35 30 30 32 32 28 21 10 6 4 28 46 61 60 84 110 138 146 143 140 136 137 141 139 125 112 110 115 117 118 121 123 124 128 130 133 139 147 156 164 162 155 148 147 149 152 155 152 145 136 129 126 126 127 121 106 88 73 66 72 88 104 110 116 122 122 116 116 116 114 112 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 nan nan 5 11 17 16 14 14 10 5 1 1 3 5 4 4 5 7 9 10 9 9 8 8 11 14 15 15 15 14 12 10 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 8 5 4 4 4 4 3 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 2 1 0 0 0 1 2 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 10 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 16 21 20 20 29 31 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 21 32 35 35 29 23 24 35 43 47 49 41 28 19 22 34 49 54 62 89 120 139 151 156 152 146 142 139 127 112 103 100 98 100 110 124 136 137 134 137 148 157 165 169 161 148 136 133 135 140 145 143 136 129 124 119 118 116 109 97 87 81 80 87 99 106 105 113 130 136 133 128 124 120 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 6 11 16 18 18 16 10 4 1 2 4 3 2 3 6 9 11 11 11 9 9 10 12 13 14 14 14 12 9 8 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 6 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 1 1 2 2 3 3 2 1 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 6 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 19 20 17 17 26 25 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 22 37 36 32 18 13 14 28 42 63 74 70 62 51 46 44 54 60 61 77 106 128 140 153 158 153 146 142 136 124 111 99 89 86 95 112 138 147 139 138 151 161 168 168 157 141 126 116 117 124 130 134 133 130 124 119 114 111 105 95 88 87 90 97 101 96 95 108 130 132 131 131 126 126 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 3 6 11 17 19 20 17 10 5 5 8 4 0 1 4 7 10 12 12 10 9 8 10 11 12 13 14 13 10 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 8 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 2 2 3 3 3 1 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 9 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 5 10 21 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 27 39 40 36 22 13 11 21 36 62 83 90 87 78 74 78 78 69 63 72 96 119 137 152 160 157 150 147 145 141 130 114 98 92 100 118 139 155 150 144 151 162 168 166 155 139 120 104 97 100 108 120 129 131 127 121 118 115 110 101 94 95 100 105 105 102 106 110 128 118 109 111 113 122 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 1 2 5 10 16 20 21 19 14 12 13 8 1 0 2 5 9 12 13 11 9 8 8 9 10 11 14 14 12 9 7 6 5 5 6 6 6 6 7 8 8 8 9 8 6 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 2 0 1 1 1 2 2 3 2 1 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 7 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 6 14 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 6 12 28 45 53 51 38 24 18 22 30 47 70 89 95 92 88 88 87 78 69 72 90 112 136 158 165 161 154 149 149 153 149 135 116 107 113 131 145 160 165 162 160 166 172 169 158 143 126 109 93 86 88 101 117 124 123 121 121 121 118 112 107 107 109 110 107 107 117 101 97 85 78 79 90 108 120 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 0 1 1 0 1 4 9 14 21 24 20 17 16 13 6 2 2 5 8 11 12 12 10 8 9 10 11 12 14 14 13 12 10 8 6 6 6 6 7 7 7 7 7 8 8 6 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 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 3 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 10 22 43 63 69 59 42 32 30 32 38 54 76 91 95 94 95 96 88 76 77 93 108 134 158 166 166 158 150 146 152 154 148 131 118 117 123 132 149 169 180 180 178 175 172 165 154 142 132 121 101 86 89 106 119 118 118 118 121 120 122 121 118 116 114 112 117 112 92 67 48 48 63 81 103 122 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 1 0 0 0 2 6 14 23 22 18 17 17 13 8 7 10 12 11 10 10 10 10 11 13 14 15 15 13 12 11 10 8 7 7 8 8 9 8 8 7 7 7 7 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 16 32 56 75 76 63 50 42 39 40 47 64 83 93 95 100 105 97 82 87 101 111 132 152 163 165 159 149 145 146 149 148 138 125 117 115 118 128 150 176 195 197 182 170 169 164 156 153 149 122 92 87 102 117 116 114 112 113 116 122 127 124 118 114 113 121 128 115 89 73 77 84 96 111 127 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 1 0 0 0 0 0 1 5 12 17 18 17 16 16 13 14 17 17 14 10 7 8 10 12 15 17 18 16 11 8 6 6 6 5 6 6 6 7 6 6 6 6 7 6 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 25 45 68 82 79 65 51 43 44 50 63 81 89 89 96 109 104 92 102 114 117 128 146 157 161 156 149 146 145 147 148 142 132 121 116 117 119 128 151 185 208 199 174 167 165 160 156 148 123 100 92 103 117 118 114 108 104 106 113 118 118 114 109 105 111 128 135 121 106 105 104 106 115 127 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 2 9 15 17 16 15 14 15 19 20 17 11 6 5 6 11 16 20 21 17 10 4 1 0 1 1 2 3 3 4 4 4 4 6 6 6 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 17 13 7 5 3 3 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 24 35 53 70 81 75 63 49 45 50 63 82 89 82 87 105 108 107 119 131 128 127 137 150 157 155 149 146 147 149 150 147 138 126 119 118 117 118 126 153 188 205 189 167 156 150 142 133 117 104 98 106 120 124 118 108 100 96 98 102 106 108 106 98 94 104 117 116 104 95 96 104 113 121 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 3 8 14 16 14 12 13 16 19 17 13 7 3 3 7 13 19 22 19 11 4 0 0 0 0 0 0 0 1 2 2 3 4 5 5 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 25 29 22 8 5 3 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 20 28 38 49 66 74 72 59 49 48 58 76 87 84 86 98 109 118 131 142 141 135 136 147 156 156 151 146 145 147 150 150 142 128 119 116 113 113 112 122 147 173 181 166 150 139 129 125 119 110 107 113 125 132 129 118 104 94 90 94 101 108 111 102 88 91 99 100 95 89 89 99 107 112 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 1 0 0 2 6 10 11 11 12 14 15 15 14 11 5 3 4 9 15 18 18 12 5 1 0 0 0 0 0 0 0 0 1 1 2 3 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 15 18 8 6 4 3 2 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 27 33 46 60 73 75 62 52 52 64 80 88 92 98 106 116 130 140 143 143 142 149 158 157 157 153 146 145 150 154 147 134 123 119 115 115 110 110 122 141 158 160 152 142 137 136 133 126 120 121 129 140 141 131 113 98 90 93 102 112 117 116 109 104 102 100 95 90 90 94 97 97 96 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 3 7 5 1 0 1 4 7 9 11 13 13 13 13 12 9 5 4 6 8 10 11 9 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 4 4 6 6 6 6 5 4 4 5 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 17 23 31 45 62 81 78 62 50 51 68 88 102 107 104 107 118 125 129 135 144 155 161 159 163 166 161 154 155 157 152 143 135 129 125 120 113 109 114 130 151 167 169 160 153 152 148 142 136 131 135 146 147 139 122 106 97 98 104 112 123 134 139 131 119 109 97 85 80 82 83 76 66 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 1 8 17 17 6 2 0 1 3 6 9 13 14 12 12 12 11 9 7 6 5 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 5 6 6 6 6 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 17 27 43 65 78 70 53 42 49 76 104 118 114 106 108 108 108 116 130 149 162 159 162 171 172 168 166 163 156 149 145 140 134 126 117 110 109 121 144 172 189 182 168 160 154 150 146 142 144 148 149 142 128 114 105 104 109 117 133 152 160 150 135 121 106 88 76 75 73 61 46 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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120 122 121 118 117 117 117 116 114 115 113 111 112 111 103 90 79 69 66 78 103 127 137 139 139 128 110 98 97 100 99 95 90 86 78 70 66 65 64 65 64 62 62 66 67 65 59 54 51 49 45 41 37 33 29 25 23 25 28 28 25 19 15 14 15 14 10 5 5 14 24 29 28 24 22 23 23 24 23 22 20 19 19 19 19 20 20 20 22 23 24 24 25 25 25 27 30 28 18 12 1 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 1 2 2 2 2 2 4 9 16 20 22 21 19 20 17 14 16 18 16 10 5 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 12 16 19 22 27 31 29 27 32 41 46 44 38 34 32 34 40 49 58 67 74 82 90 98 102 110 132 161 178 179 165 121 88 98 106 100 84 71 64 59 50 42 40 45 49 42 33 34 57 79 73 48 27 22 31 40 32 17 9 8 14 25 38 53 62 62 57 51 49 47 43 39 34 27 23 nan nan nan nan nan nan nan nan nan nan nan nan nan
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96 88 81 76 74 74 76 79 81 82 84 88 97 109 117 119 119 117 115 115 111 100 92 90 97 105 113 119 127 140 146 153 158 157 143 119 102 100 105 112 122 131 131 122 111 104 105 115 124 124 115 102 93 86 78 71 67 68 70 67 59 52 46 43 40 37 32 28 25 26 30 34 30 20 15 19 27 36 44 47 42 31 25 28 35 38 35 28 23 23 25 28 32 37 41 39 36 33 27 19 9 2 0 0 0 2 9 14 13 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 3 3 3 3 3 5 9 10 12 14 19 24 23 21 19 18 14 9 5 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 36 40 39 40 42 45 48 54 58 57 54 51 49 46 42 43 43 41 40 41 43 48 57 74 96 123 152 171 170 148 137 136 134 128 118 108 97 107 113 105 92 82 79 77 61 39 31 36 36 36 42 48 47 43 43 48 55 65 74 76 72 64 59 57 58 62 68 nan nan nan nan nan nan nan nan nan nan nan nan
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111 102 92 85 81 78 82 89 93 94 91 89 93 105 116 122 116 103 93 91 97 98 94 88 87 92 104 114 119 119 117 116 116 118 115 110 107 102 98 100 108 118 119 111 99 95 103 117 128 131 125 112 100 95 96 100 95 76 64 60 60 58 56 57 58 59 56 51 41 35 34 35 37 36 32 24 14 7 8 14 21 28 34 37 36 33 27 22 20 24 33 42 48 50 43 31 23 21 20 18 14 14 15 16 16 17 14 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 4 4 4 3 3 6 11 15 18 20 21 23 26 25 23 20 14 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 5 5 6 6 5 4 4 3 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 2 8 11 18 26 32 35 35 34 33 34 37 39 38 33 26 21 19 22 28 35 40 39 36 38 48 60 72 86 103 125 146 162 168 174 173 180 172 163 158 154 150 148 147 144 136 132 110 88 75 60 42 30 27 34 41 46 46 41 42 53 63 64 57 53 58 65 67 67 nan nan nan nan nan nan nan nan nan nan nan nan
126 117 106 96 90 85 84 88 92 94 94 90 89 91 96 106 114 110 102 100 106 109 103 90 80 81 88 102 111 113 111 110 108 107 108 113 118 116 108 105 110 119 123 119 109 103 106 117 126 131 128 121 114 112 112 106 89 59 46 45 51 56 56 56 57 58 58 56 53 46 38 36 37 37 34 26 15 9 8 14 21 28 34 36 34 31 26 22 23 29 37 44 44 40 35 31 27 26 25 23 21 22 23 24 22 19 12 5 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 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 4 4 4 4 4 3 4 7 12 16 19 22 22 23 25 23 22 18 13 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 5 6 6 6 5 5 4 2 1 1 2 2 3 4 6 6 5 2 1 0 0 0 0 1 4 7 8 13 22 29 33 33 30 29 29 28 28 26 21 15 9 8 14 24 34 44 50 52 53 58 66 76 85 90 92 104 126 144 161 172 175 173 176 183 185 177 165 162 163 153 142 128 113 97 80 60 44 38 42 46 45 40 32 30 38 48 52 49 46 51 58 62 62 62 nan nan nan nan nan nan nan nan nan nan nan
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