Raising Squares Part 3

Logic Level 2

\[ \LARGE \square^{\square^{\square}} + \square^{\square^{\square}} \]

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). Of all \(6!=720\) possible arrangements, find the minimum value of the resultant number.

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