QED Logic quod erat demonstrandum

A Steady 8×8 Puzzle Solved with Shape Squeeze in 25 Steps

8×8 · steady · 15 steps

Play this board yourself →
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8🐱
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This 8×8 board rates as steady (difficulty score 807). Solving it from scratch takes 25 logical steps, using 6 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Line confinement, Shape squeeze. Every step below is forced: nothing here is a guess.

  1. First, place a marker at G8. Region has exactly one open cell left. Placing here clears the rest of row 8, column G, and its region. Placing here also clears its 2 touching neighbours.
  2. Next, every open cell left in this region sits in column H, so its marker has to land there; that clears every other open cell in the column.
  3. Then, place a marker at F2. Region has exactly one open cell left. Placing here clears the rest of row 2, column F, and its region. Placing here also clears its 2 touching neighbours.
  4. After that, every open cell left in this region sits in row 7, 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 6, so its marker has to land there; that clears every other open cell in the row.
  6. From there, every open cell in row 1 belongs to the same region, so that region's marker has to be somewhere in this row; that clears every other open cell in the region.
  7. Following that, place a marker at A3. Row 3 has exactly one open cell left. Placing here clears the rest of row 3, column A, and its region.
  8. First, every remaining candidate in this region touches D5, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
  9. Next, every open cell left in this region sits in column E, so its marker has to land there; that clears every other open cell in the column.
  10. Then, every remaining candidate in this region touches C7, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
  11. After that, place a marker at B7. Region has exactly one open cell left. Placing here clears the rest of row 7, column B, and its region. Placing here also clears its 1 touching neighbour.
  12. Now, place a marker at D6. Region has exactly one open cell left. Placing here clears the rest of row 6, column D, and its region. Placing here also clears its 1 touching neighbour.
  13. From there, place a marker at C1. Region has exactly one open cell left.
  14. Following that, 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.
  15. Finally, place a marker at H5. Region has exactly one open cell left.

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