QED Logic quod erat demonstrandum
Logic Ascent

How to solve this 8×8 logic puzzle

8×8 · gentle · 8 steps

A
B
C
D
E
F
G
H
1
2
3
4
5
6
7
8
1
2🐱
3
4🐱
🐱
5
🐱
6
7
🐱
🐱
🐱
8
🐱

This 8×8 board rates as gentle (difficulty score 318). Solving it from scratch takes 18 logical steps, using 3 techniques: Single cell, Row/column exclusion, Adjacency clear. Every step below is forced: nothing here is a guess.

  1. First, place a marker at G2. Region has exactly one open cell left. Placing here clears the rest of row 2, column G, and its region. Placing here also clears its 4 touching neighbours.
  2. Next, 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.
  3. Then, place a marker at C3. Region has exactly one open cell left. Placing here clears the rest of row 3, column C, and its region. Placing here also clears its 2 touching neighbours.
  4. After that, place a marker at F6. Region has exactly one open cell left. Placing here clears the rest of row 6, column F, and its region.
  5. Now, place a marker at D8. Region has exactly one open cell left. Placing here clears the rest of row 8, column D, and its region.
  6. From there, place a marker at A4. Region has exactly one open cell left. Placing here clears the rest of row 4, column A, and its region. Placing here also clears its 1 touching neighbour.
  7. Following that, place a marker at B7. Region has exactly one open cell left. Placing here clears the rest of row 7, column B, and its region.
  8. Finally, place a marker at H5. Region has exactly one open cell left.

This was a gentle solve: every step followed directly from placing a marker and clearing its row, column and region.