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Oleg or Erdös? (Posted on 2017-05-26) Difficulty: 4 of 5
Oleg and (the ghost of) Erdös play the following game. Oleg chooses a non- negative integer a1 with at most 1000 digits.

In Round i the following happens:
Oleg tells the number ai to Erdös, who then chooses a non negative integer bi, and then Oleg defines ai+1 = |ai-bi| or ai+1 = ai + bi.
Erdös wins if a20 is a power of 10, otherwise Oleg wins.

Who is the winner, Oleg or Erdös?

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: my solution | Comment 2 of 8 |
(In reply to my solution by Daniel)

Hint: -   no way,   Oleg is the loser.

Please, give it a retry, prior to seeing the official solution, I'll wait. 


  Posted by Ady TZIDON on 2017-05-27 05:39:08
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