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Difficulty Roadmap

Learning in the right order is the fastest way to improve consistency and reduce guesswork.

Checklist

  1. Automate Singles in Beginner/Easy.
  2. Master pairs/triples and locked candidates in Medium.
  3. Add X-Wing and XY-Wing for Hard.
  4. Use chain logic for Expert-level cleanup.

Place in the Learning Course

Treat this page as a lesson, not only a reference. Check the condition, solve one matching puzzle, then review which candidate or cell made the step valid.

1. Find it

Run the checklist in order until you can explain the pattern.

2. Verify it

Compare the valid and invalid diagrams before removing candidates.

3. Practice it

Open the linked difficulty archive and look for the same condition.

Valid pattern: level-appropriate technique choice

Matching techniques to level reduces search overhead and keeps solving time predictable.

Valid Diagram (9x9)
Keep Remove Focus Given Rows A-I / Columns 1-9

Technique progression aligned with difficulty.

Invalid pattern: forcing advanced patterns early

Over-searching advanced patterns often misses simpler moves already available.

Invalid Diagram (9x9)
Keep Remove Focus Given Rows A-I / Columns 1-9

Priority inversion causing unnecessary stalls.

Avoid applying it too early

Use this technique only when every checklist condition is true. A board can look similar while still missing one required limit, and removing a candidate too early can break the puzzle later. Before you act, say which unit, which digit, and which cells make the move valid.

  • Fix the row, column, or box you are reasoning about before removing candidates.
  • Separate candidates that can be removed from candidates that must remain.
  • After the removal, rescan for naked singles or hidden singles created by the update.

How to test it in a real puzzle

After reading the article, do not immediately jump to a harder level. Open one linked difficulty archive and look for the same condition while the checklist is still visible. If the pattern does not appear, that is still useful: write down which row, column, box, digit, or candidate set you checked. That note makes the next related technique easier to choose.

Where to use this

Best for planning daily training and long-term improvement.

Read next

After-Puzzle Review

  • Write down one cell or candidate affected by this technique.
  • Check whether you almost removed a candidate without the full condition.
  • Choose whether to solve one more puzzle at this level or read the related technique first.