# It's only a flesh wound

Logic Level 2

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

You are given that the numbers $$1,2,3,\ldots,9$$ are to be filled in the square boxes as shown above (without repetition) such it is a sum of three 3-digit integers.

Of all $$9!=362880$$ possible arrangements, let $$M$$ and $$m$$ denote the maximum and minimum value of the resultant number. Find the value of $$M-m$$.

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