QED Logic quod erat demonstrandum

An Easy 9×9 Puzzle Solved with Shape Squeeze in 14 Steps

9×9 · easy · 14 steps

Play this board yourself →
A
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C
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H
I
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This 9×9 board rates as easy (difficulty score 785). Solving it from scratch takes 14 logical steps, using 6 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Paired regions, Shape squeeze. Every step below is forced: nothing here is a guess.

  1. First, every open cell left in this region sits in column B, so its marker has to land there; that clears every other open cell in the column.
  2. Next, 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.
  3. Then, every open cell left in this region sits in column C, so its marker has to land there; that clears every other open cell in the column.
  4. After that, 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.
  5. Now, every remaining candidate in this region touches C4, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
  6. From there, 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 3 touching neighbours.
  7. Following that, 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 1 touching neighbour.
  8. First, 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.
  9. Next, 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.
  10. Then, place a marker at E4. Region has exactly one open cell left. Placing here clears the rest of row 4, column E, and its region.
  11. After that, place a marker at G6. Region has exactly one open cell left. Placing here clears the rest of row 6, column G, and its region. Placing here also clears its 2 touching neighbours.
  12. Now, place a marker at I7. Row 7 has exactly one open cell left. Placing here clears the rest of row 7, column I, and its region. Placing here also clears its 1 touching neighbour.
  13. From there, place a marker at H9. Region has exactly one open cell left. Placing here clears the rest of row 9, column H, and its region.
  14. Finally, place a marker at F8. Region has exactly one open cell left.

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