QED Logic quod erat demonstrandum

An Easy 6×6 Puzzle Solved with Line Confinement in 9 Steps

6×6 · easy · 9 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 easy (difficulty score 546). Solving it from scratch takes 9 logical steps, using 4 techniques: Single cell, Row/column exclusion, Adjacency clear, Line confinement. Every step below is forced: nothing here is a guess.

  1. First, every open cell in column F 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.
  2. Next, every open cell in column E 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.
  3. Then, every open cell in column D 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.
  4. After that, place a marker at C2. Column 3 has exactly one open cell left. Placing here clears the rest of row 2, column C, and its region. Placing here also clears its 3 touching neighbours.
  5. Now, 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.
  6. From there, place a marker at F3. Row 3 has exactly one open cell left. Placing here clears the rest of row 3, column F, and its region.
  7. Following that, place a marker at E6. Row 6 has exactly one open cell left. Placing here clears the rest of row 6, column E, and its region. Placing here also clears its 1 touching neighbour.
  8. First, place a marker at D4. Region has exactly one open cell left. Placing here clears the rest of row 4, column D, and its region.
  9. Finally, place a marker at B5. Region has exactly one open cell left.

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