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Before starting
1. The singles
1.1. Naked single
1.2. Hidden single
2. Locked candidates
2.1. Segment 1
2.2. Segment 2
3. The subsets
3.1. Naked subsets
3.1.1. Naked pair
3.1.2. Triplet et quad
3.2. Hidden subsets
4. Complex methods
4.1. Associated pairs (X-wing)
4.2. Multiple associated pairs (Swordfish)
4.3. Linked candidates(coloring)
4.4. Forced chains
5. Guesswork/Nishio

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Solving methods > 4- Complex methods > 4.3 Linked candidates

When a candidate is possible only in two cells of a group (row/column/block), these two candidates are linked to each other.
If one is true, the other is false or vice-versa.
When several of these linked candidates are connected, one can sometimes exclude the number from another cell because whether the linked candidate is true or false, it excludes the cell in question.

On column B, 7 is possible in B2 and B4. There is a linked pair such as if B2 is true, then B4 is false or vice-versa.

Likewise for C1 and H1 on the first row, if one is true, the other is false.

These linked candidates are connected in block one.

If 7 is true in B4, then it can be excluded from H7. If it is false in B4, it is then true in B2, false in C1, true in H1 and thus false in H7.

In all cases, 7 cannot be in H4.


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