Ok, this one should hopefully take a bit longer to figure out.
Given the set of fractions {1/96, 2/96, 3/96, ..., 95/96, 96/96}, you are given the following steps:
1) Remove any two fractions from the set. Call them a and b.
2) Compute x = 2ab - a - b + 1
3) Append x to the set.
After you perform the above 3 steps 95 times, what are the contents of the set?
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