Po-Shen Loh

Oct 1, 2014

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0

Influential Citations

1

Citations

Journal

Mathematics Magazine

Abstract

2. Let n ≥ 2 be an integer. Consider an n × n chessboard consisting of n2 unit squares. A configuration of n rooks on this board is peaceful if every row and every column contains exactly one rook. Find the greatest positive integer k such that, for each peaceful configuration of n rooks, there is a k × k square which does not contain a rook on any of its k2 unit squares. 3. Convex quadrilateral ABCD has ∠ABC = ∠CDA = 90◦. Point H is the foot of the perpendicular from A to BD. Points S and T lie on sides AB and AD, respectively, such that H lies inside triangle SCT and

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