Competition problem — Number theory

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Number theory Difficulty 6.0 National olympiad Prove it

Theorem 1 When $(a, m)=1$ , the congruence equation (1) must have a solution, and the number of its solutions is 1.

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.