Posted by **Anonymous** on Sunday, June 23, 2013 at 9:47am.

Suppose f(x) is a polynomial with integer coefficients of degree 100. Find the biggest possible number of pairs of integers n<m, such that f(n)=m and f(m)=n.

Details and assumptions

You are asked to find the biggest possible number of pairs, not the biggest pair. Hence, your answer is just an integer, not a pair of integers.