A Medium 11×11 Puzzle Solved with Shape Squeeze in 18 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 medium (difficulty score 800). Solving it from scratch takes 18 logical steps, using 5 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Shape squeeze. Every step below is forced: nothing here is a guess.
- First, every open cell left in this region sits in row 11, so its marker has to land there; that clears every other open cell in the row.
- Next, every open cell left in this region sits in column J, so its marker has to land there; that clears every other open cell in the column.
- Then, place a marker at K1. Region has exactly one open cell left. Placing here clears the rest of row 1, column K, and its region.
- After that, every open cell left in this region sits in column I, so its marker has to land there; that clears every other open cell in the column.
- Now, every open cell left in this region sits in column H, so its marker has to land there; that clears every other open cell in the column.
- From there, place a marker at G7. Region has exactly one open cell left. Placing here clears the rest of row 7, column G, and its region. Placing here also clears its 2 touching neighbours.
- Following that, 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.
- First, place a marker at J9. Region has exactly one open cell left. Placing here clears the rest of row 9, column J, and its region.
- Next, 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.
- Then, place a marker at B6. Region has exactly one open cell left. Placing here clears the rest of row 6, column B, and its region. Placing here also clears its 2 touching neighbours.
- After that, place a marker at E8. Region has exactly one open cell left. Placing here clears the rest of row 8, column E, and its region.
- Now, place a marker at D10. Region has exactly one open cell left. Placing here clears the rest of row 10, column D, and its region. Placing here also clears its 1 touching neighbour.
- From there, place a marker at A11. Region has exactly one open cell left. Placing here clears the rest of row 11, column A, and its region.
- Following that, place a marker at F5. Row 5 has exactly one open cell left. Placing here clears the rest of row 5, column F, and its region.
- First, every remaining candidate in this region touches I3, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
- Next, place a marker at I4. Region has exactly one open cell left. Placing here clears the rest of row 4, column I, and its region. Placing here also clears its 1 touching neighbour.
- Then, place a marker at H2. Region has exactly one open cell left. Placing here clears the rest of row 2, column H, and its region.
- Finally, place a marker at C3. Region has exactly one open cell left.
The key move here was Shape squeeze. Once you can spot that, this board falls quickly. ∎