olymmath

OMCC 1999 Problem 1

  • Day 1

Suppose that each of the 5 persons knows a piece of information, each piece is different, about a certain event. Each time person AA calls person BB , AA gives BB all the information that AA knows at that moment about the event, while BB does not say to AA anything that he knew.

(a) What is the minimum number of calls are necessary so that everyone knows about the event? (b) How many calls are necessary if there were nn persons?

Dataset text AI-MO AoPS. Quoted with source.

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