QED Logic quod erat demonstrandum

An Easy 7×7 Puzzle Solved with Region Confinement in 10 Steps

7×7 · easy · 10 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×
6×
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7×
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This 7×7 board rates as easy (difficulty score 443). Solving it from scratch takes 10 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 G, so its marker has to land there; that clears every other open cell in the column.
  2. Next, place a marker at F4. Region has exactly one open cell left. Placing here clears the rest of row 4, column F, and its region. Placing here also clears its 2 touching neighbours.
  3. Then, 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.
  4. After that, 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.
  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, 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.
  7. Following that, place a marker at E7. Region has exactly one open cell left. Placing here clears the rest of row 7, column E, and its region.
  8. First, place a marker at C2. Column 3 has exactly one open cell left. Placing here clears the rest of row 2, column C, and its region. Placing here also clears its 1 touching neighbour.
  9. Next, 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.
  10. Finally, place a marker at B6. Region has exactly one open cell left.

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