ABC-rebuses

Arithmetic puzzles are expressions made up of letters from the English alphabet and arithmetic operation signs. To solve the puzzle, each letter must be replaced with a digit from $1$ to $9$, ensuring that:

• Identical letters are replaced with the same digit;

• Different letters are replaced with different digits;

• The resulting numerical equation is valid.

For example, the solution to the puzzle HE*HE=SHE is the numerical equation 25*25=625.

In this task, you need to solve a puzzle in the form X+Y=Z, where $X$, $Y$, and $Z$ are strings consisting only of the characters A, B, C. It is guaranteed that each puzzle has a unique solution.