Binairo
Fill the grid with 0s and 1s — balanced lines, and never three the same in a row.
Tap a cell to cycle it: empty → 0 → 1 → empty.
How to play Binairo
Binairo — also known as Takuzu, Binary Puzzle or Unruly — is a logic puzzle played with just two symbols, 0 and 1. Fill every empty cell so the whole grid obeys three rules:
- No three in a row. You can never have three 0s or three 1s next to each other, across or down.
- Balance. Each row and each column contains exactly as many 0s as 1s.
- All lines different. No two rows are identical, and no two columns are identical.
Tap a cell to cycle it through empty, 0 and 1. With a keyboard you can also select a cell and press 0, 1 or Backspace.
Solving tips
- Avoid the third. Whenever two equal symbols sit side by side, the cells on either end must be the opposite — that's the fastest way to place new digits.
- Fill the gap. A single empty cell between two equal symbols (like 1 _ 1) must take the opposite value, or you'd risk three in a row later.
- Finish the count. Once a row or column already has half its cells as one symbol, every remaining cell in that line must be the other.
- Compare near-complete lines. Because no two rows may match, a line that's almost identical to a finished one is forced apart at its open cells.
Why Binairo is satisfying
Binairo is deduction stripped to its cleanest form: only two symbols, only three rules, and never any guessing. It scales beautifully — a 6×6 is a two-minute warm-up, while a 10×10 rewards careful chains of reasoning. It's a lovely change of pace from the 1–9 puzzles like Sudoku and Kakuro.
Frequently asked questions
Is Binairo the same as Takuzu?
Yes. Binairo, Takuzu, Binary Puzzle and Unruly are all names for the same game: fill a grid with two symbols under the no-three-in-a-row, balance and all-lines-different rules.
How do I enter a value?
Tap a cell to cycle it through empty, 0 and 1. On a keyboard, select a cell and press 0, 1, or Backspace to clear it.
Do I have to use 0 and 1?
The two symbols are just labels — some versions use two colours or suns and moons. Here we use 0 and 1, but the logic is identical.
Does every puzzle have one solution?
Yes. Each board is generated and verified to have exactly one solution, reachable by logic alone.