Archive ยท Puzzle #5
Tango puzzle for Thursday, July 9, 2026
Tango #5 in numbers
Puzzle #5 starts with 5 given cells, 2 equals signs and 4 cross signs, leaving 31 cells to deduce. Our solver fills them in 31 forced steps without a single guess: 13 from a row or column that already had its three, 12 from the no-three-in-a-row rule, 4 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
๐๐โ๏ธ๐โ๏ธโ๏ธ ๐๐โ๏ธโ๏ธ๐โ๏ธ โ๏ธโ๏ธ๐โ๏ธ๐๐ ๐๐โ๏ธ๐โ๏ธโ๏ธ โ๏ธโ๏ธ๐๐โ๏ธ๐ โ๏ธโ๏ธ๐โ๏ธ๐๐
- row 2, column 2 is a moon: The = sign means these two cells must match.
- row 1, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 1, column 4 is a moon: The ร sign means these two cells must differ.
- row 2, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 3, column 1 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 3, column 2 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 3, column 3 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 3, column 4 is a sun: The ร sign means these two cells must differ.
- row 4, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 4, column 2 is a moon: The ร sign means these two cells must differ.
- row 1, column 5 is a sun: This row already has three moons, so the rest are suns.
- row 2, column 5 is a moon: The ร sign means these two cells must differ.
The remaining 19 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.