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

Place each of the digits 0 through 9, without repetition, in the boxes above. Then what is the **maximum** possible sum?

**Details and Assumptions**:

- 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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