A Gentle 10×10 Puzzle Solved with Paired Regions in 13 Steps
Play this board yourself →A
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This 10×10 board rates as gentle (difficulty score 657). Solving it from scratch takes 13 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 row 10, so its marker has to land there; that clears every other open cell in the row.
- Next, place a marker at B9. Region has exactly one open cell left. Placing here clears the rest of row 9, column B, and its region. Placing here also clears its 2 touching neighbours.
- Then, place a marker at C7. Region has exactly one open cell left. Placing here clears the rest of row 7, column C, and its region. Placing here also clears its 2 touching neighbours.
- After that, place a marker at A1. Region has exactly one open cell left. Placing here clears the rest of row 1, column A, and its region.
- Now, every open cell left in this region sits in row 2, so its marker has to land there; that clears every other open cell in the row.
- From there, 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 2 touching neighbours.
- Following that, 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.
- First, place a marker at D4. Column 4 has exactly one open cell left. Placing here clears the rest of row 4, column D, and its region.
- Next, place a marker at J5. Region has exactly one open cell left. Placing here clears the rest of row 5, column J, and its region. Placing here also clears its 1 touching neighbour.
- Then, place a marker at I2. Region has exactly one open cell left. Placing here clears the rest of row 2, column I, and its region.
- After that, place a marker at H8. Region has exactly one open cell left. Placing here clears the rest of row 8, column H, and its region.
- Now, place a marker at G10. Region has exactly one open cell left. Placing here clears the rest of row 10, column G, and its region.
- Finally, place a marker at E6. Region has exactly one open cell left.
The key move here was Paired regions. Once you can spot that, this board falls quickly. ∎