Challenge: Primitive Calculator

Solve the Primitive Calculator Problem.

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Primitive Calculator Problem

Find the minimum number of operations needed to get a positive integer nn from 11 using only three operations: add 11, multiply by 22, and multiply by 33.

Input: An integer nn.

Output: The minimum number of operations “+1+1,” “×2×2,” and “×3×3” needed to get nn from 1.

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