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Russia Contests
All-Russian Olympiad Regional Round
2010 All-Russian Olympiad Regional Round
9.5
9.5
Part of
2010 All-Russian Olympiad Regional Round
Problems
(1)
11 natural numbers in a circle.
Source: Russian Regional Olympiad 2010 9.5
8/24/2024
Dunno wrote down
11
11
11
natural numbers in a circle. For every two adjacent numbers, he calculated their difference. As a result among the differences found there were four units, four twos and three threes. Prove that Dunno made a mistake somewhere an error.
algebra