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Bananas III (Posted on 2006-12-22) Difficulty: 3 of 5
22 monkeys have together 8888 bananas. For each monkey with more than one banana, there is another monkey with fewer, but at least half as many bananas. Prove that the monkeys can be split in two groups with 4444 bananas each.

See The Solution Submitted by JLo    
Rating: 4.0000 (1 votes)

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re(2): generalization Comment 4 of 4 |
(In reply to re: generalization by Federico Kereki)

That's a valid comment. As I said, N<2*a(n). If N>=a(n) then the largest element is a(n).
  Posted by Art M on 2006-12-23 15:06:54

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