QED Logic quod erat demonstrandum

An Easy 6×6 Puzzle Solved with Shape Squeeze in 11 Steps

6×6 · easy · 11 steps

Play this board yourself →
A
B
C
D
E
F
1
2
3
4
5
6
1×
×
×
×
2×
3
×
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×
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×
×
4×
×
×
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5×
×
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6×
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This 6×6 board rates as easy (difficulty score 774). Solving it from scratch takes 11 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, 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.
  2. Next, 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.
  3. Then, every open cell in row 6 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.
  4. After that, every open cell in row 5 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.
  5. Now, every remaining candidate in this region touches B3, 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 B4. Region has exactly one open cell left. Placing here clears the rest of row 4, column B, and its region. Placing here also clears its 3 touching neighbours.
  7. Following that, place a marker at A2. Region has exactly one open cell left. Placing here clears the rest of row 2, column A, and its region.
  8. First, place a marker at D5. Region has exactly one open cell left. Placing here clears the rest of row 5, column D, and its region. Placing here also clears its 2 touching neighbours.
  9. Next, place a marker at F6. Region has exactly one open cell left. Placing here clears the rest of row 6, column F, and its region.
  10. Then, place a marker at E3. Region has exactly one open cell left. Placing here clears the rest of row 3, column E, and its region.
  11. Finally, place a marker at C1. Region has exactly one open cell left.

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