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IMAS 2019–2020 Junior Division — First Round Question 25

IMAS · IMAS 2019–2020 Junior Division — First Round

Question 25

Arrange the ten numbers 2011, 2012, 2013, …, 2020 randomly on the circumference of a circle, and compute the greatest common divisor of every two adjacent numbers, then add these ten greatest common divisors. What is the maximum of this sum?