It's only another flesh wound Part 2

Logic 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.

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