Kleppin V.A.
A natural number $n$ is allowed to be replaced by the number $a b$, if $a+b=n$ and the numbers $a$ and $b$ are natural.
Is it possible to obtain the number 2001 from the number 22 using such replacements?
Note that the number $n=(n-1)+1$ can be replaced by $n-1$. Therefore, it is enough to obtain a number greater than
2001 (which is not difficult to do), and then subtract 1 from it.
Answer
Yes.
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