A Gentle 11×11 Puzzle Solved with Paired Regions in 20 Steps
Play this board yourself →A
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This 11×11 board rates as gentle (difficulty score 739). Solving it from scratch takes 20 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, every open cell left in this region sits in column K, so its marker has to land there; that clears every other open cell in the column.
- Next, together, two regions have open cells only in rows 10 and 11; 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.
- Then, place a marker at J9. Region has exactly one open cell left. Placing here clears the rest of row 9, column J, and its region. Placing here also clears its 2 touching neighbours.
- After that, place a marker at K11. Region has exactly one open cell left. Placing here clears the rest of row 11, column K, and its region.
- Now, every open cell left in this region sits in row 1, so its marker has to land there; that clears every other open cell in the row.
- From there, together, two regions have open cells only in columns H and I; 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.
- Following that, together, two regions have open cells only in columns F and G; 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.
- First, together, two regions have open cells only in rows 7 and 8; 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, every open cell left in this region sits in row 6, so its marker has to land there; that clears every other open cell in the row.
- Then, together, two regions have open cells only in rows 4 and 5; 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.
- After that, every open cell left in this region sits in column E, so its marker has to land there; that clears every other open cell in the column.
- Now, place a marker at A10. Region has exactly one open cell left. Placing here clears the rest of row 10, column A, and its region.
- From there, place a marker at B5. Region has exactly one open cell left. Placing here clears the rest of row 5, column B, and its region.
- Following that, place a marker at F4. Region has exactly one open cell left. Placing here clears the rest of row 4, column F, and its region. Placing here also clears its 1 touching neighbour.
- First, place a marker at E2. Region has exactly one open cell left. Placing here clears the rest of row 2, column E, and its region. Placing here also clears its 1 touching neighbour.
- Next, place a marker at C3. Region has exactly one open cell left. Placing here clears the rest of row 3, column C, and its region.
- Then, place a marker at G6. Region has exactly one open cell left.
- After that, place a marker at D8. Region has exactly one open cell left. Placing here clears the rest of row 8, column D, and its region.
- Now, place a marker at I7. Region has exactly one open cell left. Placing here clears the rest of row 7, column I, and its region.
- Finally, place a marker at H1. Region has exactly one open cell left.
The key move here was Paired regions. Once you can spot that, this board falls quickly. ∎