Raising Squares Part 2

Logic Level 2

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

Six numbers 1,2,3,4,5,1,2,3,4,5, and 66 are to be filled in the square boxes above (without repetition). Of all 6!=7206!=720 possible arrangements, find the minimum value of the resultant number.

Details and Assumptions

  • As an explicit example, if the six numbers are 2,2,2,3,3,2,2,2,3,3, and 3,3, then the minimum resultant number is 23+23+23=24.2^3+2^3+2^3=24.

See Part 1 and Part 3.

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