\[ \large \square + \square \square + \square \square \square + \square \square \square \square \]

Place distinct digits from 0 through 9 in the boxes to get the maximum possible sum. Submit your answer as the maximum sum.

**Details and Assumptions:**

You are allowed to start a number with 0.

This is an arithmetic puzzle, where \( 1 \square \) would represent the 2-digit number 19 if \( \square = 9 \). It does not represent the algebraic expression \( 1 \times \square \).

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