An Easy 11×11 Puzzle Solved with Paired Regions in 17 Steps
Play this board yourself →A
B
C
D
E
F
G
H
I
J
K
1
2
3
4
5
6
7
8
9
10
11
1×
×
×
2×
×
×
×
×
×
×

×
×
×
×
×
×
×
3×

×
×
×
×
×

×
4×
×
×
×
×
×
×
×
×
×
×
×

×
×
×
×
5×
×
×
×

×
×
×
6×
×
×
7×
×
×
×
×
×
×
×
×

×

8×
×
×
×
×
×
×
×
×
×
×
×
×
9×
×
×
×

×
×
×
×
×

10×
×
×
×
×
×
×
×
×
×
×
×
×

×
×
×
×
×
11×

×
×
×
×
×
×
×
×
×
This 11×11 board rates as easy (difficulty score 688). Solving it from scratch takes 17 logical steps, using 6 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Line confinement, Paired regions. Every step below is forced: nothing here is a guess.
- First, every open cell left in this region sits in column A, so its marker has to land there; that clears every other open cell in the column.
- Next, place a marker at B11. Region has exactly one open cell left. Placing here clears the rest of row 11, column B, and its region. Placing here also clears its 1 touching neighbour.
- Then, together, two regions have open cells only in rows 9 and 10; 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 row 8, so its marker has to land there; that clears every other open cell in the row.
- Now, every open cell in column K 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.
- From there, place a marker at J6. Column 10 has exactly one open cell left. Placing here clears the rest of row 6, column J, and its region. Placing here also clears its 2 touching neighbours.
- Following that, place a marker at A7. Region has exactly one open cell left. Placing here clears the rest of row 7, column A, and its region.
- 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, place a marker at G4. Column 7 has exactly one open cell left. Placing here clears the rest of row 4, column G, and its region.
- Then, every open cell in column I 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 H8. Column 8 has exactly one open cell left. Placing here clears the rest of row 8, column H, and its region.
- Now, place a marker at F10. Column 6 has exactly one open cell left. Placing here clears the rest of row 10, column F, and its region.
- From there, place a marker at C9. Region has exactly one open cell left. Placing here clears the rest of row 9, column C, and its region.
- Following 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.
- 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.
- Next, 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.
- Finally, place a marker at K1. Region has exactly one open cell left.
The key move here was Paired regions. Once you can spot that, this board falls quickly. ∎