QED Logic quod erat demonstrandum

An Easy 8×8 Puzzle Solved with Paired Regions in 11 Steps

8×8 · easy · 11 steps

Play this board yourself →
A
B
C
D
E
F
G
H
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8
1×
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8×
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This 8×8 board rates as easy (difficulty score 652). Solving it from scratch takes 11 logical steps, using 5 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Paired regions. Every step below is forced: nothing here is a guess.

  1. First, every open cell left in this region sits in row 1, so its marker has to land there; that clears every other open cell in the row.
  2. Next, every open cell left in this region sits in row 2, so its marker has to land there; that clears every other open cell in the row.
  3. Then, place a marker at H3. Region has exactly one open cell left. Placing here clears the rest of row 3, column H, and its region. Placing here also clears its 1 touching neighbour.
  4. After that, place a marker at G1. Region has exactly one open cell left. Placing here clears the rest of row 1, column G, and its region.
  5. Now, together, two regions have open cells only in columns F and E; with one marker each, those two markers have to fill exactly those two columns, so every other region's open cells there can be cleared.
  6. From there, place a marker at D5. Region has exactly one open cell left. Placing here clears the rest of row 5, column D, and its region. Placing here also clears its 3 touching neighbours.
  7. Following that, place a marker at C2. Region has exactly one open cell left. Placing here clears the rest of row 2, column C, and its region.
  8. First, 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. Placing here also clears its 1 touching neighbour.
  9. Next, 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.
  10. Then, place a marker at E8. Region has exactly one open cell left. Placing here clears the rest of row 8, column E, and its region.
  11. Finally, place a marker at B7. Region has exactly one open cell left.

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