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 Super Number Square (Posted on 2003-08-19)
A super number square has the following properties:
1. In each row, the rightmost number is the sum of the other three.
2. In each column, the bottom number is the sum of the other three.
3. Within each NW-SE diagonal line, the last number (bottom rightmost) is the product of the other numbers.
For example, if you have a square that looks like:
```A B C D
E F G H
I J K L
M N P Q
```
you know that A+B+C=D, C+G+K=P, AFK=Q, EJ=P, and so on.

Construct a super number square in which the highest number in any position is 57, and the second number in the top row is a 5 (all numbers are positive integers).

 See The Solution Submitted by DJ Rating: 4.4167 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 can it be shown ... | Comment 6 of 7 |
... that the solution must be symmetric with respect to the major NW-SE diagonal?
 Posted by Charlie on 2003-08-20 08:32:47

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