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These are problems relating to various games and strategies for playing them.
Difficulty: 4 of 5 Latest: Oleg or Erdös? Rating: 4.00
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, 8 Comments) Submitted on 2017-05-26 by Ady TZIDON   
Page 1 of 10   next >>    
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