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July 28th, 2015, 02:56 AM   #1
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Joined: Jul 2015
From: South Africa

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Magic Table Problem

I've encountered a problem that seems very simple, but turned out to just be frustrating
.... and now I seek math experts to help me.

The idea is to enter a number in each of the red and green blocks.

Red blocks must contain negative numbers " < 0 " (Smaller than 0)
Green blocks must contain positive numbers " > 0 " (Greater than 0)

Just ignore all the white (empty) blocks

All the numbers above the light blue line (that contains zeros) must be opposites of the numbers below the line....

The sum of each column must be 0
The sum of each row must be 0

Any solution would be much appreciated ...
but I would like to find the smallest whole number solution ...
furthermore ... if it's not too much trouble:
Could some math expert out there show me how to find a solution to any other grid
that works in the same way...
with different red/green box configurations ... and of any other grid size.

Thank you.
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