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SMO 2009 Junior Round 2 Question 2

SMO · SMO 2009 Junior Round 2

Question 2

The set of $2000$-digit integers is divided into two sets: the set $M$ consisting of all integers that can be represented as the product of two $1000$-digit integers, and the set $N$ containing the other integers. Which of the sets $M$ and $N$ contains more elements?