QED Logic quod erat demonstrandum

A Gentle 9×9 Logic Puzzle, Solved in 20 Steps

9×9 · gentle · 9 steps

Play this board yourself →
A
B
C
D
E
F
G
H
I
1
2
3
4
5
6
7
8
9
1×
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2🐱
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3×
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4×
5🐱
×
6×
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7×
🐱
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8×
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🐱
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9×
🐱
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This 9×9 board rates as gentle (difficulty score 320). Solving it from scratch takes 20 logical steps, using 3 techniques: Single cell, Row/column exclusion, Adjacency clear. Every step below is forced: nothing here is a guess.

  1. First, place a marker at I2. Region has exactly one open cell left. Placing here clears the rest of row 2, column I, and its region. Placing here also clears its 2 touching neighbours.
  2. Next, 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.
  3. Then, place a marker at H4. Region has exactly one open cell left. Placing here clears the rest of row 4, column H, and its region.
  4. After that, place a marker at F7. Region has exactly one open cell left. Placing here clears the rest of row 7, column F, and its region. Placing here also clears its 2 touching neighbours.
  5. Now, place a marker at D3. Region has exactly one open cell left. Placing here clears the rest of row 3, column D, and its region.
  6. From there, place a marker at C5. Region has exactly one open cell left. Placing here clears the rest of row 5, column C, and its region. Placing here also clears its 1 touching neighbour.
  7. Following that, place a marker at B8. Region has exactly one open cell left. Placing here clears the rest of row 8, column B, and its region. Placing here also clears its 1 touching neighbour.
  8. First, place a marker at A6. Region has exactly one open cell left.
  9. Finally, place a marker at E9. Region has exactly one open cell left.

This was a gentle solve: every step followed directly from placing a marker and clearing its row, column and region.