QED Logic quod erat demonstrandum

An Easy 7×7 Puzzle Solved with Shape Squeeze in 12 Steps

7×7 · easy · 12 steps

Play this board yourself →
A
B
C
D
E
F
G
1
2
3
4
5
6
7
1×
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2×
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3×
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4×
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5×
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6×
7×
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This 7×7 board rates as easy (difficulty score 773). 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 1, so its marker has to land there; that clears every other open cell in the row.
  2. Next, 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 3 touching neighbours.
  3. Then, place a marker at G1. Region has exactly one open cell left. Placing here clears the rest of row 1, column G, and its region.
  4. After that, 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. Placing here also clears its 1 touching neighbour.
  5. Now, 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.
  6. From there, 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.
  7. Following that, 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.
  8. First, place a marker at F5. Column 6 has exactly one open cell left. Placing here clears the rest of row 5, column F, and its region.
  9. Next, 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.
  10. Then, 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.
  11. After that, 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.
  12. Finally, place a marker at C4. Region has exactly one open cell left.

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