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Omni-MATH / A positive integer …A,B,C are digits, satisfies (ABC)¯=B^(C)−A. Find (ABC)¯.

Problem

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problem

A positive integer \overline{A B C}, where A,B,CA, B, C are digits, satisfies ABC¯=BC−A\overline{A B C}=B^{C}-A. Find ABC¯\overline{A B C}.
Plain-text mathematical notation (without MathML)
A positive integer \overline{A B C}, where A,B,C are digits, satisfies (ABC)¯=B^(C)−A. Find (ABC)¯.
Original LaTeX notation
A positive integer \overline{A B C}, where $A, B, C$ are digits, satisfies $\overline{A B C}=B^{C}-A$. Find $\overline{A B C}$.

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