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Nine squares are carved into a piece of wood.
- US Version
Arrange nine unique numbers between one and 51 so that any three numbers have the same sum when added vertically, horizontally, or diagonally.
While several combinations are possible, your task is to find the number that occupies the center square when you arrange the numbers to yield the highest possible total.
- UK Version
Arrange nine unique numbers between one and 51 so that every vertical, horizontal and diagonal line of numbers crossing through the middle square has the same sum.
Arrange the numbers so that they yield the highest possible sum.
What number occupies the middle square?
Give it another shot!
Are you sure that you've found the number that gives you the largest total when added vertically, horizontally, and diagonally?
What should your total be?
To get the largest total possible from any three vertical, horizontal, or diagonal numbers, you should place the largest number available in the middle square.
Once you've decided on that as your middle number, all you need to do is test whether you can complete the square.
The full solution should look something like the diagram above.
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A big thanks to http://professorlaytonwalkthrough.blogspot.com