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Cross-clue technique · Advanced

Comparative Combination

Combining two comparative or offset clues that share a reference point into a new deduction neither clue gives up alone.

Why it works

Two clues measured against the same anchor can be compared to each other, not just to the anchor — sometimes ruling two items apart, and in one specific pattern, confirming two items are the same.

Trigger

Two comparative or offset clues that share a common reference item or value.

Common mistake

Using each clue only against its own stated reference, and missing what the two clues say about each other.

Example

If red costs $10 more than Wilma, and green costs $10 more than Wilma too, then red and green are the same price, which forces them to be the same item.

On Bambleweeny's board

All four combination patterns are implemented in the live solver. Each was checked against Two-Bridge Elimination before being added, to confirm it was real new capability rather than a restatement.

Put it to work

See this technique on a live board, or go back and browse the rest of the library.