Advanced

Simple Coloring

Two-colour chaining of a single digit’s strong links to expose contradictions and eliminations.

Coloring tracks one digit through its strong links — units where the digit has exactly two candidate cells. Alternately colour those cells two colours; cells of the same colour are all on or all off together. Two rules then apply: if two same-colour cells share a unit, that colour is false; and any cell seeing both colours cannot hold the digit.

It is a clean, single-digit technique that often cracks puzzles where wings fail.

How to spot it

Pick a digit with many bi-location units. Start a chain: colour one candidate cell A, its strong-link partner B the other colour, then continue. Apply the two coloring rules to make eliminations or settle the digit entirely.

  • Colour a digit’s strong-link cells alternately.
  • Same colour twice in one unit ⇒ that colour is off.
  • A cell seeing both colours ⇒ digit removed there.
Colour the strong links — a cell seeing both colours can never be 6.

Worked example

  1. Choose digit 5 and colour a strong-link chain blue/green.
  2. Two blue cells turn out to share a column.
  3. Blue cannot be the true colour (it would place 5 twice).
  4. Therefore every green cell holds 5.
  5. Place all green 5s and clear blue candidates.

Try it yourself

9
2
8
7
1
2
9
3
3
6
4
6
5
4
8
3
2
1
5
7
1
4
7
9
5

Tap a cell, then a number, to practise.

Frequently asked questions

What is a strong link?
A unit where a digit has exactly two possible cells — if one is false the other is true.
Is coloring the same as chains?
Coloring is a single-digit special case of chaining; forcing chains generalise it to multiple digits.

Related techniques

Practice: Simple Coloring

Put the Simple Coloring to work on a live board — free puzzles with notes, hints and four difficulty levels.

Try it on a live board

We use Google Analytics to understand how people use the site. No tracking cookies are set unless you accept. Read our analytics cookie policy.