A Hard 6×6 Puzzle Solved with Forced Chain in 12 Steps
Play this board yourself →A
B
C
D
E
F
1
2
3
4
5
6
1×
2×

×
3×
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4×

5×

×
×
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6×
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This 6×6 board rates as hard (difficulty score 950). Solving it from scratch takes 12 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 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, place a marker at B3. Region has exactly one open cell left. Placing here clears the rest of row 3, column B, and its region. Placing here also clears its 2 touching neighbours.
- Then, every open cell left in this region sits in row 4, so its marker has to land there; that clears every other open cell in the row.
- After that, 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.
- Now, every remaining candidate in this region touches E5, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
- From there, marking D1 would force F2 (the last open cell in region 3), and then row 4 would be left with no open cell for its marker. So D1 can't be the marker there.
- Following that, if E1 were the marker, row 2 would end up with no open cell for its marker, which can't happen. So it can't go there.
- First, place a marker at E6. Column 5 has exactly one open cell left. Placing here clears the rest of row 6, column E, and its region.
- Next, place a marker at A5. Region has exactly one open cell left.
- Then, 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.
- After that, place a marker at F2. Region has exactly one open cell left. Placing here clears the rest of row 2, column F, and its region.
- Finally, place a marker at D4. Region has exactly one open cell left.
The key move here was Forced chain. Once you can spot that, this board falls quickly. ∎