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What price glory? (Posted on 2015-01-22) Difficulty: 2 of 5
Two math. wizards play in the following manner:
From a row of integers 0,1,2,…1023,1024 A erases 512 numbers of his choice, - following this B erases 256 numbers of B’s choice.
Step 3: A erases 128 numbers, etc…
So at Step 10 player B chooses one of the 3 remaining numbers and erases it to define the amount of (dollars, pounds, euros, marbles) to be paid by A i.e. the difference between the two remaining numbers.

Clearly, A chooses a strategy to minimize this amount while
his opponent wants to maximize the outcome.

Assuming both follow the best strategy (Which?),
what will be the outcome of the game?

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Maybe?Steve Herman2015-01-26 14:27:05
Maybe?Omri2015-01-26 08:03:27
Some Thoughtsre: If there isn't an even better strategy... (spoiler?)Ady TZIDON2015-01-22 13:09:52
re: If there isn't an even better strategy... (spoiler?)Jer2015-01-22 12:02:31
SolutionIf there isn't an even better strategy... (spoiler?)Charlie2015-01-22 11:13:59
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