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no from 1 to 10 into 2 groups - All-Russian MO 2003 Regional (R4) 8.1

Source:

September 17, 2024
number theory

Problem Statement

The numbers from 11 to 1010 were divided into two groups so that the product of the numbers in the first group is completely divisible by the product of the numbers in the second. Which the smallest value can be for the quotient of the first product money for the second?