MathDB
2018 PUMaC Algebra A5

Source:

November 25, 2018
PuMACalgebra

Problem Statement

For k∈{0,1,…,9},k \in \left \{ 0, 1, \ldots, 9 \right \}, let ϵk∈{−1,1}\epsilon_k \in \left \{-1, 1 \right \}. If the minimum possible value of ∑i=19∑j=0i−1ϵiϵj2i+j\sum_{i = 1}^9 \sum_{j = 0}^{i -1} \epsilon_i \epsilon_j 2^{i + j} is mm, find ∣m∣|m|.
Back to ProblemsView on AoPS