It's only a flesh wound
\[ \large \square\square\square \ + \ \square\square\square \ + \ \square\square\square \]
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 \(M-m\).