Raising Squares Part 2

Logic Level 2

$\LARGE \square^\square \ + \ \square^\square \ + \ \square^\square$

Six numbers $$1,2,3,4,5,$$ and $$6$$ are to be filled in the square boxes above (without repetition). Of all $$6!=720$$ possible arrangements, find the minimum value of the resultant number.

Details and Assumptions

• As an explicit example, if the six numbers are $$2,2,2,3,3,$$ and $$3,$$ then the minimum resultant number is $$2^3+2^3+2^3=24.$$

See Part 1 and Part 3.

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