A Hard 8×8 Puzzle Solved with Forced Chain in 16 Steps
Play this board yourself →A
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This 8×8 board rates as hard (difficulty score 948). Solving it from scratch takes 16 logical steps, using 8 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Line confinement, Paired regions, Shape squeeze, Forced chain. Every step below is forced: nothing here is a guess.
- 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, every open cell in column A belongs to the same region, so that region's marker has to be somewhere in this column; that clears every other open cell in the region.
- After that, place a marker at B4. Column 2 has exactly one open cell left. Placing here clears the rest of row 4, column B, and its region. Placing here also clears its 2 touching neighbours.
- Now, place a marker at C1. Column 3 has exactly one open cell left. Placing here clears the rest of row 1, column C, and its region.
- From there, place a marker at A2. Region has exactly one open cell left. Placing here clears the rest of row 2, column A, and its region.
- Following that, together, two regions have open cells only in columns D and E; 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, every open cell left in this region sits in row 5, so its marker has to land there; that clears every other open cell in the row.
- Next, every remaining candidate in this region touches E7, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
- Then, every open cell left in this region sits in row 8, so its marker has to land there; that clears every other open cell in the row.
- After that, place a marker at H3. Column 8 has exactly one open cell left. Placing here clears the rest of row 3, column H, and its region.
- Now, that one can't be the marker: at G5 it would force F7 (the last open cell in region 8), and column E would be left with no open cell for its marker.
- From there, place a marker at F5. Region has exactly one open cell left. Placing here clears the rest of row 5, column F, and its region. Placing here also clears its 1 touching neighbour.
- Following that, place a marker at D6. Region has exactly one open cell left. Placing here clears the rest of row 6, column D, and its region.
- First, place a marker at G7. Region has exactly one open cell left.
- Finally, place a marker at E8. Region has exactly one open cell left.
The key move here was Forced chain. Once you can spot that, this board falls quickly. ∎