2011 AIME II Problems/Problem 8
Problem:
Let z_{1}, z_{}2, ... , z_{12} be the 12 zeros of the polynomial z^12-2^36. For each j, let w_{j }be one of z_{j} or iz_{j}. Then the maximum possible value of the real part of (somebody who knows how please create in an equation) SUM j=1 to 12 (w_{j}) can be written as m+root(n), where m and n are positive integers. Find m+n.
Solution:
