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Showing posts with label commutative. Show all posts
Showing posts with label commutative. Show all posts

Thursday, September 17, 2009

KBB3 Problem 4

Given a 3x3 chessboard where each cell is colored black or white. At any step, we are allowed to pick any column or any row and flip all the cell colors in that column or row. Prove or disprove: no matter what the initial coloring is, we can always get an all-white board?