Wednesday, February 07, 2007

Basic-Hidden Triples

Hidden Triples
We can extend Hidden Pairs to Hidden Triples or even Hidden Quads. A Triple will consist of three pairs of numbers lying in three cells in the same ROW, COLUMN or BOX, Such as 4/8/9, 4/8/9 and 4/8/9. However, we don't need exactly three pairs of numbers in three cells for the rules to apply. In the example below we have 4/8/9, 4/8 and 8/9 in three cells.

Since 4 AND 8 AND 9 must exist in those three squares the other numbers cannot exist there. So we remove them. This reveals the hidden triple:

The minimum number of numbers for Hidden Triples will be three pairs of numbers, for example, 4/8, 4/9 and 8/9. It is clear they are bonded together and if they lie on three cells within the same ROW, COLUMN or BOX then any other numbers on those cells can be removed.

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