The Magnitude Is Important!

Logic Level 1

+++ \large \square + \square \square + \square \square \square + \square \square \square \square

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

Note: You are allowed to start the number with 0.

Details and Assumptions:

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