QED Logic quod erat demonstrandum

An Easy 8×8 Puzzle Solved with Region Confinement in 12 Steps

8×8 · easy · 12 steps

Play this board yourself →
A
B
C
D
E
F
G
H
1
2
3
4
5
6
7
8
1×
×
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2×
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3
×
4×
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5×
6
×
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7×
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8×
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This 8×8 board rates as easy (difficulty score 453). Solving it from scratch takes 12 logical steps, using 4 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement. Every step below is forced: nothing here is a guess.

  1. First, 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.
  2. Next, place a marker at G4. Region has exactly one open cell left. Placing here clears the rest of row 4, column G, and its region. Placing here also clears its 3 touching neighbours.
  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.
  4. After that, 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.
  5. Now, every open cell left in this region sits in row 3, 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 5, so its marker has to land there; that clears every other open cell in the row.
  7. Following that, place a marker at E6. Region has exactly one open cell left. Placing here clears the rest of row 6, column E, and its region. Placing here also clears its 3 touching neighbours.
  8. First, place a marker at F1. Region has exactly one open cell left. Placing here clears the rest of row 1, column F, and its region.
  9. Next, place a marker at D8. Column 4 has exactly one open cell left. Placing here clears the rest of row 8, column D, and its region.
  10. Then, place a marker at A7. Region has exactly one open cell left. Placing here clears the rest of row 7, column A, 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 C5. Region has exactly one open cell left.

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