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Algebra

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Joined:	28 Feb 2007
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16 Mar 2008 23:29:56 IST

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Fair and Square

None

Given 5 points in a unit square, prove that there are atleast two points whose separation is less than 1/ 2

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sandeep ramesh

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Joined: 13 Mar 2008

Posts: 1183

16 Mar 2008 23:32:09 IST

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pigeon hole again

place four at the corners for farthest n divide the square into 4 equal parts using diagonals

sandeep ramesh

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Joined: 13 Mar 2008

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16 Mar 2008 23:32:30 IST

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gotcha

Hari Shankar

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Joined: 28 Feb 2007

Posts: 2173

16 Mar 2008 23:40:09 IST

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nice work, rohit (as expected)

jeesucks

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Joined: 16 Mar 2008

Posts: 58

16 Mar 2008 23:47:34 IST

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by pigeon hole principle

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