QED Logic quod erat demonstrandum

An Easy 8×8 Puzzle Solved with Shape Squeeze in 12 Steps

8×8 · easy · 12 steps

Play this board yourself →
A
B
C
D
E
F
G
H
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1×
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This 8×8 board rates as easy (difficulty score 766). Solving it from scratch takes 12 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 remaining candidate in this region touches G2, so whichever candidate ends up marked will clear it, and it can be ruled out now regardless of which one wins.
  3. Then, place a marker at H2. Region has exactly one open cell left. Placing here clears the rest of row 2, column H, and its region. Placing here also clears its 2 touching neighbours.
  4. After that, every open cell left in this region sits in column F, so its marker has to land there; that clears every other open cell in the column.
  5. Now, 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.
  6. From there, 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. Placing here also clears its 1 touching neighbour.
  7. Following that, place a marker at C7. Region has exactly one open cell left. Placing here clears the rest of row 7, column C, and its region. Placing here also clears its 2 touching neighbours.
  8. First, place a marker at A6. Row 6 has exactly one open cell left. Placing here clears the rest of row 6, column A, and its region.
  9. Next, place a marker at G5. Row 5 has exactly one open cell left. Placing here clears the rest of row 5, column G, and its region.
  10. Then, place a marker at D4. Row 4 has exactly one open cell left. Placing here clears the rest of row 4, column D, and its region.
  11. After 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.
  12. Finally, place a marker at F1. Region has exactly one open cell left.

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