QED Logic quod erat demonstrandum

An Easy 7×7 Puzzle Solved with Line Confinement in 11 Steps

7×7 · easy · 11 steps

Play this board yourself →
A
B
C
D
E
F
G
1
2
3
4
5
6
7
1×
2×
×
×
3
4×
×
×
×
×
×
×
×
×
×
×
×
×
5×
×
×
×
×
×
×
×
×
6×
×
×
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7×
×
×
×
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×
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This 7×7 board rates as easy (difficulty score 552). Solving it from scratch takes 11 logical steps, using 5 techniques: Single cell, Row/column exclusion, Adjacency clear, Region confinement, Line confinement. 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, place a marker at B6. Region has exactly one open cell left. Placing here clears the rest of row 6, column B, and its region. Placing here also clears its 3 touching neighbours.
  3. Then, place a marker at D7. Region has exactly one open cell left. Placing here clears the rest of row 7, column D, and its region.
  4. After that, every open cell left in this region sits in column C, 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 E, so its marker has to land there; that clears every other open cell in the column.
  6. From there, 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.
  7. Following that, place a marker at A4. Row 4 has exactly one open cell left. Placing here clears the rest of row 4, column A, and its region.
  8. First, place a marker at F3. Row 3 has exactly one open cell left. Placing here clears the rest of row 3, column F, and its region. Placing here also clears its 1 touching neighbour.
  9. Next, place a marker at E1. Region has exactly one open cell left. Placing here clears the rest of row 1, column E, and its region.
  10. Then, place a marker at C2. Region has exactly one open cell left.
  11. Finally, place a marker at G5. Region has exactly one open cell left.

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