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SuDoKu-Knacker - Multiple Colors



 
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If one candidate is only in two cells in a group (row, column or 3x3 box), we call it a conjugate pairs.
In the example above, the candidates 3 are in Column 2, only located in Row 3 & 7. This two (R3C2 & R7C2) are a conjugate pairs. One of those two has to be false and the other has to be true. We mark them with two different colors.
R3C7 builds another conjugate pairs with R8C7, and R8C7 to R8C1. Both R3C7 and R8C1 has to be true or false.
We now know that either R3C2 or R7C2 has to be true. Therefore R3C7 and R8C1 cannot both be true, they has to be false, and the candidates 3 in this two highlighted (yellow) cells can safely be excluded.


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