QED Logic quod erat demonstrandum

A Gentle 6×6 Puzzle Solved with Shape Squeeze in 14 Steps

6×6 · gentle · 8 steps

Play this board yourself →
A
B
C
D
E
F
1
2
3
4
5
6
1×
×
×
×
2🐱
3×
🐱
4×
×
×
×
×
×
×
×
🐱
×
5×
6×
🐱
×
×
×
×
×
×
×
×
×
🐱
×
×
🐱
×
×
×

This 6×6 board rates as gentle (difficulty score 742). Solving it from scratch takes 14 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.

  1. First, place a marker at E1. Region has exactly one open cell left. Placing here clears the rest of row 1, column E, and its region. Placing here also clears its 2 touching neighbours.
  2. Next, 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 2 touching neighbours.
  3. Then, 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.
  4. After that, 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.
  5. Now, every remaining candidate in this region touches B5 and C5, so whichever candidate ends up marked will clear them, and they can be ruled out now regardless of which one wins.
  6. From there, place a marker at B4. Region has exactly one open cell left. Placing here clears the rest of row 4, column B, and its region.
  7. Following that, place a marker at F5. Region has exactly one open cell left.
  8. Finally, place a marker at C6. Region has exactly one open cell left.

The key move here was Shape squeeze. Once you can spot that, this board falls quickly.