QED Logic quod erat demonstrandum

An Easy 7×7 Puzzle Solved with Paired Regions in 8 Steps

7×7 · easy · 8 steps

Play this board yourself →
A
B
C
D
E
F
G
1
2
3
4
5
6
7
1
×
2×
×
×
×
×
×
3×
×
×
×
×
4×
×
5×
×
×
×
×
×
×
×
×
6×
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7×
×
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This 7×7 board rates as easy (difficulty score 633). Solving it from scratch takes 8 logical steps, using 4 techniques: Single cell, Row/column exclusion, Adjacency clear, Paired regions. Every step below is forced: nothing here is a guess.

  1. First, together, two regions have open cells only in rows 1 and 2; with one marker each, those two markers have to fill exactly those two rows, so every other region's open cells there can be cleared.
  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 G4. Region has exactly one open cell left. Placing here clears the rest of row 4, column G, and its region. Placing here also clears its 1 touching neighbour.
  5. Now, place a marker at C5. Region has exactly one open cell left. Placing here clears the rest of row 5, column C, and its region. Placing here also clears its 1 touching neighbour.
  6. From there, place a marker at D7. Region has exactly one open cell left. Placing here clears the rest of row 7, column D, and its region. Placing here also clears its 1 touching neighbour.
  7. Following 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.
  8. Finally, place a marker at E2. Region has exactly one open cell left.

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