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Extreme Entireties (Posted on 2009-08-25) Difficulty: 3 of 5
Each of the capital letters are substituted by a different digit from 0 to 9 in this 3x3 square such that the six sums formed by the leftmost column, rightmost column, top row, bottom row and the two main diagonals are each equal to x. Each of the remaining row and the remaining column may or may not sum to x.

A    B    C
D    E    F
G    H    I

Determine the respective minimum value and the maximum value of x.

  Submitted by K Sengupta    
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Solution: (Hide)
The minimum x is 9 and the maximum x is 18. There are 12 arrangements, not counting rotations/reflections.

For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Spreadsheet offeringbrianjn2009-08-25 22:13:48
Solutioncomputer solutionCharlie2009-08-25 13:57:41
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