Binary Puzzle vs Tango | Switch to the Classic Rules

Translate the symbols and keep the same counts

We checked LinkedIn's official Tango instructions against BinaryPuzzle.com's classic rules before making these examples. Here a sun becomes 0 and a moon becomes 1. Reversing that mapping also works if you stay consistent.

A six-cell line needs three of each symbol. A pair such as 0 0 forces an adjacent blank to be 1 whenever a zero would create a triple. Apply the same checks down columns. Diagonals do not create triple violations in either game.

Adjust the quota when you move to a larger classic board. An eight-cell row needs four of each digit. Counting only to three would make you stop too soon.

Separate relationship clues from classic line uniqueness

An equals sign in Tango requires its two neighboring cells to match; an x requires them to differ. An unmarked boundary adds no relationship constraint. Classic Binary Puzzle on this site has no printed link clues.

Classic rules compare entire completed lines. Two rows must differ somewhere, and so must two columns. A row may match a column. LinkedIn's Tango instructions list no distinct-line requirement, so matching another row is insufficient grounds to reject a Tango candidate.

Classic Takuzu and Binairo generally use the distinct-line rule described here. Check your publisher's instructions when comparing Takuzu vs Tango or Tango vs Binairo.

Rules used throughout this comparison
Constraint	Classic Binary Puzzle here	LinkedIn Tango
Two symbols	0 and 1	Usually suns and moons
Equal counts	Half of each in every line	Half of each in every line
Straight triples	Forbidden horizontally and vertically	Forbidden horizontally and vertically
Printed = or x	No relationship markers	Every printed marker must hold
Repeated complete lines	Duplicate rows or columns forbidden	No distinct-line rule listed

Review the classic Binary Puzzle uniqueness rule

Compare one position under both rule sets

Here is an original six-by-six teaching position. Row 1 is complete. Row 3 has two blanks, at columns 5 and 6. Every other cell is empty, and no relationship markers are supplied.

Row 3 already contains two zeros and two ones. Its last two cells therefore need one of each. Both endings pass the row's balance and no-triples checks. Keep row 1 visible while deciding whether anything else rules out an ending.

Shared starting digits for both comparisons, with no link clues
	1	2	3	4	5	6
1	0	1	0	1	0	1
2	·	·	·	·	·	·
3	0	1	0	1	·	·
4	·	·	·	·	·	·
5	·	·	·	·	·	·
6	·	·	·	·	·	·

Use the rule that actually removes a candidate

Under the classic rules, 010101 would copy row 1 exactly. Reject it. The remaining completion is 010110, so R3C5 becomes 1 and R3C6 becomes 0. The distinct-row requirement proves both cells.

Under Tango's published rules, that duplicate-row rejection is unavailable. Both endings remain possible in this teaching position. We verified that each extends to a complete balanced, triple-free board, so the ambiguity survives the crossing columns as well.

This teaching position leaves most cells blank and supplies no link clues. A LinkedIn daily puzzle can provide additional information to settle the choice. Under Tango's rules, the digits shown here leave those two cells open.

The same row candidates lead to different conclusions
Row 3 candidate	Classic judgment	Tango judgment without markers
010101	Reject because it duplicates row 1	Can extend to a valid full board
010110	Keep and place the final two digits	Can also extend to a valid full board

See how one printed link changes the reason

Now add a Tango equals sign between R3C4 and R3C5, keeping all the starting digits unchanged. R3C4 is already 1. The marked neighbor must therefore be 1, and the remaining quota puts 0 at R3C6. Row 3 becomes 010110.

Both versions now give 010110, with different proofs. The printed equals sign settles the Tango variation. Row 1 and the distinct-row requirement settle the classic position.

Remove that equals sign and the Tango argument disappears. The neighboring cells could still match, but you must establish their values from some other available information. A blank boundary cannot supply the missing proof.

Explore linked-pair deductions in Binairo Plus

Tango variation with = between columns 4 and 5

0 1 0 1 = _ _0 1 0 1 = 1 0

The link fixes column 5. Balance then fixes column 6. The classic comparison uses the unmarked grid above.

Keep unique lines separate from a unique solution

Line uniqueness checks whether two rows or two columns repeat inside one completed board. A unique solution means only one complete board satisfies all the starting clues and rules. These are separate properties.

A puzzle with relationship clues can have one solution while allowing repeated lines. Classic rules can permit several solutions when too few starting clues are given. The teaching position above leaves much of the board unspecified even though its classic third row is forced.

Use the constraints your publisher actually lists when proving a move.

Move to classic practice and name each reason

Open our 6x6 Binary Puzzle and choose Easy. It uses classic rows and columns, without Tango markers. Start with familiar pairs and counts. When a row has two possible endings, compare it with completed rows; make the equivalent check for columns.

For the first few placements, say which rule forced the digit. If two legal options remain, leave the cell blank and inspect a crossing line. You can record candidates on paper while keeping confirmed entries on the board.

Hint gives a logical explanation, and its separate Place button enters the suggested value. Check highlights visible rule conflicts. A board without highlighted conflicts can still contain an entry you have not proved, so use the explanation as your reason to place a digit.

Start a classic 6x6 Binary Puzzle

Sources

The official rule pages below define the two versions compared here. The teaching grid and candidate checks were created for this article and verified independently.