Archive ยท Puzzle #34
Tango puzzle for Friday, August 7, 2026
Tango #34 in numbers
Puzzle #34 starts with 6 given cells, 1 equals sign and 1 cross sign, leaving 30 cells to deduce. Our solver fills them in 30 forced steps without a single guess: 17 from the no-three-in-a-row rule, 11 from a row or column that already had its three, 1 from an = sign, 1 from an ร 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
โ๏ธโ๏ธ๐๐โ๏ธ๐ ๐๐โ๏ธ๐โ๏ธโ๏ธ โ๏ธ๐๐โ๏ธ๐โ๏ธ ๐โ๏ธโ๏ธ๐โ๏ธ๐ โ๏ธ๐โ๏ธโ๏ธ๐๐ ๐โ๏ธ๐โ๏ธ๐โ๏ธ
- row 3, column 3 is a moon: The = sign means these two cells must match.
- row 3, column 1 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 3, column 4 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 6, column 4 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 2, column 1 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 2, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 4, column 4 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 4, column 3 is a sun: This column already has three moons, so the rest are suns.
- row 5, column 3 is a sun: This column already has three moons, so the rest are suns.
- row 5, column 2 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 5, column 1 is a sun: The ร sign means these two cells must differ.
- row 5, column 5 is a moon: No three of the same can be adjacent, so this cell is forced.
The remaining 18 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.