QED Logic quod erat demonstrandum

A Steady 7×7 Puzzle Solved with Shape Squeeze in 23 Steps

7×7 · steady · 15 steps

Play this board yourself →
A
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C
D
E
F
G
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This 7×7 board rates as steady (difficulty score 830). Solving it from scratch takes 23 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 C, so its marker has to land there; that clears every other open cell in the column.
  2. Next, together, two regions have open cells only in columns A and B; 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.
  3. Then, every open cell left in this region sits in column D, so its marker has to land there; that clears every other open cell in the column.
  4. After that, 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.
  5. Now, every remaining candidate in this region touches C2 and E2, so whichever candidate ends up marked will clear them, and they can be ruled out now regardless of which one wins.
  6. From there, place a marker at C3. Region has exactly one open cell left. Placing here clears the rest of row 3, column C, and its region. Placing here also clears its 3 touching neighbours.
  7. Following that, place a marker at D1. Region has exactly one open cell left. Placing here clears the rest of row 1, column D, and its region.
  8. First, every open cell left in this region sits in column G, so its marker has to land there; that clears every other open cell in the column.
  9. Next, every remaining candidate in this region touches F4 and F5, so whichever candidate ends up marked will clear them, and they can be ruled out now regardless of which one wins.
  10. Then, every remaining candidate in this region touches A6 and B6, so whichever candidate ends up marked will clear them, and they can be ruled out now regardless of which one wins.
  11. After that, place a marker at F6. Row 6 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.
  12. Now, 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.
  13. From there, place a marker at G2. Region has exactly one open cell left. Placing here clears the rest of row 2, column G, and its region.
  14. Following that, place a marker at A5. Region has exactly one open cell left. Placing here clears the rest of row 5, column A, and its region.
  15. Finally, place a marker at B7. Region has exactly one open cell left.

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