A Medium 7×7 Puzzle Solved with Shape Squeeze in 13 Steps
Play this board yourself →A
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This 7×7 board rates as medium (difficulty score 813). Solving it from scratch takes 13 logical steps, using 6 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Paired regions, Shape squeeze. Every step below is forced: nothing here is a guess.
- First, 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.
- Next, every remaining candidate in this region touches B2, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
- Then, every remaining candidate in this region touches E4, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
- After that, place a marker at E5. Region has exactly one open cell left. Placing here clears the rest of row 5, column E, and its region. Placing here also clears its 4 touching neighbours.
- Now, every open cell left in this region sits in row 3, 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 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.
- Following that, place a marker at G4. Region has exactly one open cell left. Placing here clears the rest of row 4, column G, and its region. Placing here also clears its 1 touching neighbour.
- First, place a marker at D3. Region has exactly one open cell left. Placing here clears the rest of row 3, column D, and its region. Placing here also clears its 1 touching neighbour.
- Next, place a marker at A2. Row 2 has exactly one open cell left. Placing here clears the rest of row 2, column A, and its region. Placing here also clears its 1 touching neighbour.
- Then, every remaining candidate in this region touches C6 and C7, so whichever candidate ends up marked will clear them, and they can be ruled out now regardless of which one wins.
- After that, place a marker at F7. Region has exactly one open cell left. Placing here clears the rest of row 7, column F, and its region.
- Now, place a marker at C1. Region has exactly one open cell left.
- Finally, place a marker at B6. Region has exactly one open cell left.
The key move here was Shape squeeze. Once you can spot that, this board falls quickly. ∎