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Alligator Coin - Iran NMO 2004 (Second Round) - Problem6

Source:

September 24, 2010
inductioncombinatorics proposedcombinatorics

Problem Statement

We have a m×nm\times n table and m4m\geq{4} and we call a 1×11\times 1 square a room. When we put an alligator coin in a room, it menaces all the rooms in his column and his adjacent rooms in his row. What's the minimum number of alligator coins required, such that each room is menaced at least by one alligator coin? (Notice that all alligator coins are vertical.)