Raising Squares Part 3

Logic Level 2

+ \LARGE \square^{\square^{\square}} + \square^{\square^{\square}}

You are given that the numbers 1,2,3,4,5,61,2,3,4,5,6 are to be filled in the square boxes as shown above (without repetition). Of all 6!=7206!=720 possible arrangements, find the minimum value of the resultant number.

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