[bizaro86]

Originally Posted by psyang

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?

Spoiler!

{1/2}