QED Logic quod erat demonstrandum
Logic Ascent

How to solve this 6×6 logic puzzle

6×6 · gentle · 8 steps

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 431). Solving it from scratch takes 15 logical steps, using 4 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement. Every step below is forced: nothing here is a guess.

  1. 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.
  2. 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 3 touching neighbours.
  3. Then, place a marker at A1. Region has exactly one open cell left. Placing here clears the rest of row 1, column A, and its region.
  4. After that, place a marker at D2. Region has exactly one open cell left. Placing here clears the rest of row 2, column D, and its region.
  5. Now, every open cell left in this region sits in column E, so its marker has to land there; that clears every other open cell in the column.
  6. From there, place a marker at F4. Row 4 has exactly one open cell left. Placing here clears the rest of row 4, column F, and its region. Placing here also clears its 1 touching neighbour.
  7. Following that, place a marker at E6. Region has exactly one open cell left. Placing here clears the rest of row 6, column E, and its region.
  8. Finally, place a marker at C5. Region has exactly one open cell left.

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