Archive ยท Puzzle #112

Tango puzzle for Saturday, October 24, 2026

The same board everyone played on 2026-10-24. Replays don't affect your streak.

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Balanced. โ˜€๏ธ๐ŸŒ™

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Tango #112 in numbers

Puzzle #112 starts with 7 given cells, 2 equals signs and 3 cross signs, leaving 29 cells to deduce. Our solver fills them in 29 forced steps without a single guess: 14 from the no-three-in-a-row rule, 10 from a row or column that already had its three, 3 from an ร— sign, 2 from an = sign. Every step uses the three basic rules, so this is a board you can finish without ever having to list possibilities.

Spoilers: the solved board and how the first steps are forced
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  1. row 4, column 4 is a sun: The = sign means these two cells must match.
  2. row 2, column 1 is a sun: The ร— sign means these two cells must differ.
  3. row 3, column 1 is a sun: The = sign means these two cells must match.
  4. row 3, column 4 is a sun: The ร— sign means these two cells must differ.
  5. row 2, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
  6. row 4, column 2 is a moon: No three of the same can be adjacent, so this cell is forced.
  7. row 4, column 5 is a moon: No three of the same can be adjacent, so this cell is forced.
  8. row 4, column 1 is a moon: No three of the same can be adjacent, so this cell is forced.
  9. row 3, column 2 is a sun: No three of the same can be adjacent, so this cell is forced.
  10. row 3, column 3 is a moon: No three of the same can be adjacent, so this cell is forced.
  11. row 5, column 4 is a moon: No three of the same can be adjacent, so this cell is forced.
  12. row 5, column 2 is a sun: No three of the same can be adjacent, so this cell is forced.

The remaining 17 cells follow the same way; the hint button in the puzzle above walks through every one of them with its reason.

Rows and columns are counted from the top-left. Every daily Tango Unlimited board is generated to have exactly one solution and to be solvable by deduction alone; the how-to-play page explains each technique.