It's only another flesh wound Part 2Logic Level 3
\[ \large \square\square \ - \ \square\square \ - \ \square\square \]
You are given that the numbers \(1,2,3,4,5,6\) are to be filled in the square boxes as shown above (without repetition) such that it represents a 2 digit integer subtracting two 2-digit integers.
Of all \(6!=720\) possible arrangements, find the largest negative resultant number.
Details and Assumptions
As an explicit example, we can have \(16 - 34 - 52 = -70 \) and \(12-53-64=-105\) as a resultant number. We will choose the formal answer of \(-70\) because \(-105<-70\).
See Part 1.