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Rainbow Technique: Find Missing Colors in Color Sudoku

The Rainbow Technique is a powerful color sudoku solving method. By tracking one number across all 9 colors, you can quickly spot which color is missing — and place your next cell with confidence.

Rainbow technique visualization showing number tracking across all colors in Suirodoku

The Principle

Each number (1-9) must appear exactly once in each of the 9 colors.

If you find a number in 8 different colors, you know which color is missing. Then find where that color goes.

Why Rainbow Works

The Rainbow Technique is possible because of Suirodoku's 4th rule: each color must contain numbers 1-9. This means every number appears exactly once in each color — creating 81 unique number-color pairs. When you track a number across all colors, you're guaranteed to find exactly 9 instances.

The number reveals the color. This is the opposite of Chromatic Circle where the color reveals the number.

Step-by-Step Example

Track the number 4. It appears in 8 colors — Yellow is missing!

Step 1: All 4s in 8 colors
8 colors found
Step 2: Yellow is missing
Yellow is missing
Step 3: Yellow 4 placed
Yellow 4 placed!

Result: By tracking the number 4 across all colors, we found Yellow was missing and placed it!

Key Points

9
colors per number
8+
colors visible = works
1
missing color to find

When to Use It

  • Mid-game: When many numbers are placed but you're stuck
  • After basics: Use classic Sudoku rules first, then Rainbow
  • Hard/Expert puzzles: Essential for difficult levels

Common mistake: Don't forget to check both number AND color constraints. A cell must satisfy all 4 rules.

Practice Now

The best way to master Rainbow is to practice. Start with Easy puzzles, then move to harder levels.