An Easy 9×9 Puzzle Solved with Paired Regions in 14 Steps
Play this board yourself →A
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This 9×9 board rates as easy (difficulty score 679). Solving it from scratch takes 14 logical steps, using 5 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Paired regions. Every step below is forced: nothing here is a guess.
- First, together, two regions have open cells only in rows 1 and 2; with one marker each, those two markers have to fill exactly those two rows, so every other region's open cells there can be cleared.
- Next, together, two regions have open cells only in columns A and B; with one marker each, those two markers have to fill exactly those two columns, so every other region's open cells there can be cleared.
- Then, every open cell left in this region sits in column C, so its marker has to land there; that clears every other open cell in the column.
- After that, every open cell left in this region sits in column D, so its marker has to land there; that clears every other open cell in the column.
- Now, place a marker at E1. Region has exactly one open cell left. Placing here clears the rest of row 1, column E, and its region.
- From there, place a marker at H2. Region has exactly one open cell left. Placing here clears the rest of row 2, column H, and its region. Placing here also clears its 2 touching neighbours.
- Following that, place a marker at F3. Region has exactly one open cell left. Placing here clears the rest of row 3, column F, and its region. Placing here also clears its 1 touching neighbour.
- First, place a marker at D5. Region has exactly one open cell left. Placing here clears the rest of row 5, column D, and its region.
- Next, place a marker at A4. Region has exactly one open cell left. Placing here clears the rest of row 4, column A, and its region.
- Then, every open cell left in this region sits in column G, so its marker has to land there; that clears every other open cell in the column.
- After that, place a marker at I6. Row 6 has exactly one open cell left. Placing here clears the rest of row 6, column I, and its region.
- Now, place a marker at C9. Row 9 has exactly one open cell left. Placing here clears the rest of row 9, column C, and its region. Placing here also clears its 1 touching neighbour.
- From there, place a marker at B7. Region has exactly one open cell left. Placing here clears the rest of row 7, column B, and its region.
- Finally, place a marker at G8. Region has exactly one open cell left.
The key move here was Paired regions. Once you can spot that, this board falls quickly. ∎