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Sudoku solving technique · Pro

Skyscraper

An almost X-Wing: two base cells share a column, the two roofs do not.

What is a Skyscraper?

A Skyscraper uses a candidate that appears in exactly two cells in each of two rows. The two base cells, one from each row, share a column; the two roof cells lie in different columns. The base cells cannot both hold the candidate, so at least one roof does. It can be eliminated from any cell that sees both roofs. The same works with columns instead of rows.

How to spot a Skyscraper

Start as you would for an X-Wing, with a digit that fits in only two cells in each of two rows. If the columns only half match, so that just two of the four cells share a column, those two are the base and the other two are the roofs. Remove the digit from cells that see both roofs. The same works with columns instead of rows.

Difficulty
In Sudoku Pro, this technique belongs to the Pro level.
Learning path
Technique 10 of 20 on the learning path

An example from the app

Pattern (purple). Candidates 2, 4Given 3Given 1Pattern (purple). Candidates 2, 4
EmptyEmptyAffected cell (orange). Candidates 3. Eliminated 4Empty
EmptyEmptyGiven 2Affected cell (orange). Candidates 3. Eliminated 4
Pattern (purple). Candidates 3, 4Given 2Pattern (purple). Candidates 3, 4Given 1
The two base cells cannot both hold the number, so at least one roof does. Remove it from cells seeing both roofs.

Small digits are candidates. Crossed-out digits can be removed in this step.

  • Pattern (purple)
  • Affected cell (orange)

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