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In addition to the project assignment of the course Computationally Hard Problems (02249), Fall 2015, we offer a programming contest for finding Madragon solutions. Participation in the contest is not mandatory. You are given an \(m\times n\) -board, consisting of \(m\) rows and \(n\) columns, where each tile on the board is colored either black or white. Each transformation of the board that shifts a row or a column by a number of positions \(s\in\mathbb{N}\) in one of the two possible directions such that tiles that are moved off the board are reinserted on the other side is called an operation, e.g., shifting the first column three positions down is an operation. Consider the following decision problem: Problem: Madragon Input: Two \(m\times n\) -boards \(A\) and \(B\) and a number \(k\in \mathbb{N}\) . Output: YES if there is a sequence of at most \(k\) operations (each of ...