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Close Neighbors (Posted on 2004-02-05) Difficulty: 3 of 5
We can label the squares of an 8 x 8 chess board from from 1 to 64 in 64! different ways.

For each arrangement we find D, the largest difference between the labels of two squares which are adjacent (orthogonally or diagonally).

What is the smallest possible D (and how would you prove it)?

See The Solution Submitted by DJ    
Rating: 4.2857 (7 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnswerMath Man2012-07-05 09:06:37
No Subjectpaul2004-03-08 20:13:32
QuestionFollowup Questionsstan2004-02-06 14:10:06
re(2): possible solution: proofSilverKnight2004-02-05 14:20:01
Solutionre: possible solution: proofBrian Wainscott2004-02-05 13:59:06
Solutionpossible solutionSilverKnight2004-02-05 13:29:19
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