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A binary enigma (Posted on 2011-01-21) Difficulty: 3 of 5
From a pile of 104 tokens two players pick up some tokens, alternating turns and obeying three rules:

1. First player is allowed to take any amount of tokens, but not all of them.
2. Next quantities are limited , allowing the player to take only a divisor of the quantity taken by his partner in the preceding move.
3. The player taking the last token wins.

Devise a winning strategy.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Generalizing a little. | Comment 2 of 5 |
So it appears, at least when starting with 104, that whoever can leave a power of two first wins, as long as the opponent cannot immediately take the rest.



  Posted by Steve Herman on 2011-01-21 16:33:25
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