TANGO UNLIMITED

Archive · Puzzle #40

Tango puzzle for Thursday, August 13, 2026

The same board everyone played on 2026-08-13. Replays don't affect your streak.

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Balanced. ☀️🌙

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Tango #40 in numbers

Puzzle #40 starts with 4 given cells, 5 equals signs and 2 cross signs, leaving 32 cells to deduce. Our solver fills them in 32 forced steps without a single guess: 16 from the no-three-in-a-row rule, 9 from a row or column that already had its three, 5 from an = 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 
🌙☀️🌙🌙☀️☀️
🌙🌙☀️🌙☀️☀️
☀️🌙☀️☀️🌙🌙
🌙☀️🌙☀️☀️🌙
☀️🌙☀️🌙🌙☀️
☀️☀️🌙☀️🌙🌙
  1. row 6, column 1 is a sun: The = sign means these two cells must match.
  2. row 6, column 3 is a moon: No three of the same can be adjacent, so this cell is forced.
  3. row 3, column 4 is a sun: No three of the same can be adjacent, so this cell is forced.
  4. row 5, column 4 is a moon: No three of the same can be adjacent, so this cell is forced.
  5. row 5, column 5 is a moon: The = sign means these two cells must match.
  6. row 5, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
  7. row 5, column 2 is a moon: The × sign means these two cells must differ.
  8. row 5, column 6 is a sun: No three of the same can be adjacent, so this cell is forced.
  9. row 5, column 1 is a sun: This row already has three moons, so the rest are suns.
  10. row 4, column 1 is a moon: No three of the same can be adjacent, so this cell is forced.
  11. row 6, column 4 is a sun: This column already has three moons, so the rest are suns.
  12. row 6, column 5 is a moon: This row already has three suns, so the rest are moons.

The remaining 20 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.