Archive ยท Puzzle #72
Tango puzzle for Monday, September 14, 2026
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Tango #72 in numbers
Puzzle #72 starts with 6 given cells, 4 equals signs and 0 cross signs, leaving 30 cells to deduce. Our solver fills them in 30 forced steps without a single guess: 16 from the no-three-in-a-row rule, 10 from a row or column that already had its three, 4 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๏ธโ๏ธ๐๐ โ๏ธ๐๐โ๏ธ๐โ๏ธ ๐โ๏ธโ๏ธ๐โ๏ธ๐ โ๏ธ๐โ๏ธโ๏ธ๐๐ ๐โ๏ธ๐๐โ๏ธโ๏ธ ๐โ๏ธ๐๐โ๏ธโ๏ธ
- row 1, column 5 is a moon: The = sign means these two cells must match.
- row 1, column 4 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 3, column 5 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 4, column 5 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 4, column 6 is a moon: The = sign means these two cells must match.
- row 3, column 6 is a moon: The = sign means these two cells must match.
- row 4, column 4 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 2, column 6 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 5, column 6 is a sun: No three of the same can be adjacent, so this cell is forced.
- row 5, column 4 is a moon: No three of the same can be adjacent, so this cell is forced.
- row 5, column 3 is a moon: The = sign means these two cells must match.
- row 5, column 2 is a sun: 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.