Tango and Binairo Solver
Tap a square once for a sun (or 0), twice for a moon (or 1), a third time to clear it. In Tango, tap the gap between two squares for =, twice for ×.
How to use the Tango solver
Copy in the suns and moons your puzzle starts with: tap a square once for a sun, twice for a moon. Tap the gap between two squares to add an = sign (the two match) or, with a second tap, a × sign (they are opposite). Press Explain the next step and the solver fills in the next square that is certain, highlights the row, column or sign that proves it, and says why. Show the answer fills it all and checks the solution is the only one.
It solves the Tango puzzles that appear daily in apps such as LinkedIn's; Greg Puzzles is not affiliated with LinkedIn. Switch to Binairo for the version with 0s and 1s on bigger grids.
The rules of Tango and binairo
Every row and every column holds as many suns as moons, three of each in a 6 by 6, and never three of the same next to each other in a line. In Tango an = between two squares means they match and a × means they are opposite. Binairo, also called Takuzu, uses 0 and 1 on grids up to 14 by 14 and adds one more rule: no two rows may be the same, and no two columns.
How to solve Tango, step by step
Look for pairs. Two suns side by side must have a moon on both sides. Look for gaps. Two suns with one square between them need a moon in the middle. Count to half. Once a row has its three suns, the rest are moons. Follow the signs: each = or × passes a known square on to its neighbour. Those four moves solve nearly every puzzle; when they stop, try a square both ways and see which one breaks a rule.
How it was checked
The solver was run on all 120 puzzles of the daily binairo: it found each stored answer, found it to be the only one, and explained every puzzle from start to finish without setting a single square wrongly. It was also run on Tango puzzles with = and × signs, made from random grids and kept only when they had one solution, and found every one.
More logic puzzles
There is a new daily binairo every day. The Queens puzzle solver and the Zip puzzle solver handle two more daily puzzles. For a puzzle you hold in your hands, see our brain teasers. There are more solvers on the puzzle tools page.
Puzzles you can hold
The puzzles our customers buy most, for when you want one you can hold.
Frequently Asked Questions
How do you solve the Tango puzzle?
Look for two suns side by side: the squares either side must be moons. Two suns with one square between need a moon in the middle. A row with its three suns has moons everywhere else. And every = or × sign passes a known square on to its neighbour.
What are the rules of Tango?
Fill the 6 by 6 grid with suns and moons so every row and column has three of each, never three alike next to each other in a line, and every = sign joins two matching squares and every × two opposite ones.
Does this work for LinkedIn's daily Tango?
Yes. Copy in the starting suns, moons and signs and the solver explains every step. Greg Puzzles is not affiliated with LinkedIn.
What is binairo?
The same kind of puzzle with 0s and 1s, also called Takuzu or binary puzzle, on grids up to 14 by 14, with one more rule: no two rows, and no two columns, may be the same.
Does every Tango puzzle have one solution?
A well-made one does. The solver checks and says if the clues you entered allow more than one.