Archive ยท Puzzle #117
Tango puzzle for Thursday, October 29, 2026
Tango #117 in numbers
Puzzle #117 starts with 4 given cells, 2 equals signs and 4 cross signs, leaving 32 cells to deduce. Our solver fills them in 32 forced steps without a single guess: 13 from the no-three-in-a-row rule, 13 from a row or column that already had its three, 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
โ๏ธ๐โ๏ธ๐โ๏ธ๐ โ๏ธโ๏ธ๐โ๏ธ๐๐ ๐โ๏ธโ๏ธ๐๐โ๏ธ โ๏ธ๐๐โ๏ธโ๏ธ๐ ๐โ๏ธ๐๐โ๏ธโ๏ธ ๐๐โ๏ธโ๏ธ๐โ๏ธ
- row 3, column 2 is a sun: The = sign means these two cells must match.
- row 6, column 2 is a moon: The = sign means these two cells must match.
- row 2, column 3 is a moon: The ร sign means these two cells must differ.
- row 2, column 4 is a sun: The ร sign means these two cells must differ.
- row 3, column 1 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 3, column 4 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 4, column 4 is a sun: The ร sign means these two cells must differ.
- row 6, column 3 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 6, column 4 is a sun: This row already has three moons, so the rest are suns.
- row 5, column 4 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 6, column 6 is a sun: This row already has three moons, so the rest are suns.
- row 1, column 4 is a moon: This column 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.