AMC / AIME · Base Systems · AIME / USAJMO / AMO
Base Systems: (Proof track.) Give a complete justification. Compute math in base math.
Convert and compute in bases.
Try the problem
**(Proof track.)** Give a complete justification. Compute in base .
Hint and answer
Concept to use
Digit DP style.
Hint
Expand the numeral as a polynomial in its base and enforce valid-digit constraints.
Answer
666
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