QED Logic quod erat demonstrandum

An Easy 10×10 Puzzle Solved with Shape Squeeze in 16 Steps

10×10 · easy · 16 steps

Play this board yourself →
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This 10×10 board rates as easy (difficulty score 788). Solving it from scratch takes 16 logical steps, using 5 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Shape squeeze. Every step below is forced: nothing here is a guess.

  1. First, 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.
  2. Next, 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.
  3. Then, every open cell left in this region sits in row 3, so its marker has to land there; that clears every other open cell in the row.
  4. After that, every open cell left in this region sits in row 4, so its marker has to land there; that clears every other open cell in the row.
  5. Now, every open cell left in this region sits in row 5, so its marker has to land there; that clears every other open cell in the row.
  6. From there, place a marker at B6. Region has exactly one open cell left. Placing here clears the rest of row 6, column B, and its region. Placing here also clears its 2 touching neighbours.
  7. Following that, every remaining candidate in this region touches G4, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
  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. Placing here also clears its 1 touching neighbour.
  9. Next, place a marker at A3. Region has exactly one open cell left. Placing here clears the rest of row 3, column A, and its region.
  10. Then, place a marker at C8. Region has exactly one open cell left. Placing here clears the rest of row 8, column C, and its region.
  11. After that, place a marker at E2. Region has exactly one open cell left. Placing here clears the rest of row 2, column E, and its region. Placing here also clears its 1 touching neighbour.
  12. Now, place a marker at G7. Region has exactly one open cell left. Placing here clears the rest of row 7, column G, and its region.
  13. From there, place a marker at H5. Region has exactly one open cell left. Placing here clears the rest of row 5, column H, and its region.
  14. Following that, place a marker at I1. Region has exactly one open cell left. Placing here clears the rest of row 1, column I, and its region.
  15. First, place a marker at J9. Region has exactly one open cell left. Placing here clears the rest of row 9, column J, and its region.
  16. Finally, place a marker at F10. Region has exactly one open cell left.

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