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Sudoku solving technique · Expert

Simple Coloring

Following one digit through strong links in two colors.

What is Simple Coloring?

Simple Coloring follows one candidate through strong links: rows, columns, or blocks where it appears in exactly two cells, so one of the two must hold it. Linked cells get alternating colors, and exactly one color is right. If two cells of the same color see each other, that color is wrong, and the candidate is removed from all its cells. An uncolored cell that sees both colors loses the candidate too.

How to spot Simple Coloring

Pick a digit and look for units where it appears in only two cells. Join those pairs into a chain and color the cells alternately in two colors. Exactly one color is right. If two cells of the same color see each other, that color is wrong; if an uncolored cell sees both colors, it loses the digit.

Difficulty
In Sudoku Pro, this technique belongs to the Expert level.
Learning path
Technique 18 of 20 on the learning path

An example from the app

EmptyEmptyGiven 3Given 1EmptyEmpty
Given 6EmptyEmptyEmptyEmptyGiven 4
Given 3EmptyEmptyEmptyPattern (purple). Candidates 1, 2, 6Given 5
Pattern (purple). Candidates 1, 2Given 6Given 5EmptyGiven 4Second pattern group (hatched). Candidates 1, 2, 3
Given 5EmptyEmptyEmptyEmptyEmpty
Second pattern group (hatched). Candidates 1, 2, 4Given 3Given 6EmptyAffected cell (orange). Candidates 2, 5. Eliminated 1Empty
Along the strong links, the cells alternate between two colors, and exactly one color holds the number. Remove it from cells seeing both colors.

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

  • Pattern (purple)
  • Second pattern group (hatched)
  • Affected cell (orange)

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