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Poblem 4 (1st jbmo tst), moldova

Source: 1st JBMO TST, Moldova

March 31, 2006
combinatorics proposedcombinatorics

Problem Statement

Let nn be a positive integer, n≥4n\geq 4. nn cards are arranged on a circle and the numbers 11 or −1-1 are written on each of the cards. in a questionquestion we may find out the product of the numbers on any 33 cards. What is the minimum numbers if questions needed to find out the product of all nn numbers?
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