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Rocking moves (Posted on 2016-05-17) Difficulty: 3 of 5
From the 2001 Moscow Mathematical Olympiad:

Before you are three piles of stones: one containing 51 stones, second with 49 stones, and the third 5 stones.
On each move you can either combine two piles into one or divide any pile with an even number of stones into two equal piles.

Is it possible to end up with 105 piles, each containing a single stone?

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: Solution | Comment 2 of 3 |
(In reply to Solution by Paul)

Excellent reasoning, will refer to it in the "official" solution.

  Posted by Ady TZIDON on 2016-05-19 04:48:46
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