LinkedIn Tango #661

LinkedIn Tango #661 is the LinkedIn Tango daily for July 30, 2026. Tango is LinkedIn's balance puzzle: fill a 6×6 grid so every row and column has 3 suns and 3 moons, never three identical symbols in a line, and all = and × signs between neighbors are satisfied. This page includes the live board, a solved-board view, and a step-by-step Solution walkthrough. Difficulty: Medium. Estimated solve time: 4–6 min.

18 suns and 18 moons across the 6×6 grid.

This 6×6 board has 8 starting clues and 4 adjacency signs (3 equal, 1 opposite).

1. Cell 1First fillR2C4

   Reasoning

   Moon is ruled out: Two moons sit to the right — this cell cannot be moon.

   Solving note

   First fill: Sun at R2C4 because only one symbol still valid. Start from givens and adjacent signs.

2. Cell 2Second fillR3C3

   Reasoning

   Moon is ruled out: Two moons sit to the left — a third moon here would break the no-three-in-a-row rule.

   Solving note

   Second fill: Sun at R3C3 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.

3. Cell 3Third fillR3C6

   Reasoning

   Two moons sandwich this cell vertically — it must be Sun.

   Solving note

   Third fill: Sun at R3C6 because two matching symbols sandwich this cell. Update row/column counts before the next placement.

4. Cell 4Fourth fillR3C5

   Reasoning

   The = sign between this cell and Row 3, column 6 means they must match — Row 3, column 6 is Sun, so this cell is Sun.

   Solving note

   Fourth fill: Sun at R3C5 because an = sign links neighbors. Update row/column counts before the next placement.

5. Cell 5Fifth fillR3C4

   Reasoning

   Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Two suns sandwich this cell — it must be Moon to avoid three suns in a row. Row 3 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons.

   Solving note

   Fifth fill: Moon at R3C4 because two matching symbols sandwich this cell. Update row/column counts before the next placement.

6. Cell 6Sixth fillR5C3

   Reasoning

   Sun is ruled out: Two suns sit to the left — a third sun here would break the no-three-in-a-row rule.

   Solving note

   Sixth fill: Moon at R5C3 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.

7. Cell 7Seventh fillR5C5

   Reasoning

   Sun is ruled out: Two suns sit above — a third sun here would break the no-three-in-a-row rule.

   Solving note

   Seventh fill: Moon at R5C5 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.

8. Cell 8Eighth fillR5C4

   Reasoning

   Two moons sandwich this cell — it must be Sun to avoid three moons in a row.

   Solving note

   Eighth fill: Sun at R5C4 because two matching symbols sandwich this cell. Update row/column counts before the next placement.

9. Cell 9Ninth fillR5C6

   Reasoning

   Row 5 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons.

   Solving note

   Ninth fill: Moon at R5C6 because row balance forces the last symbol. Update row/column counts before the next placement.

10. Cell 10Tenth fillR1C6

    Reasoning

    Column 6 still needs 2 more suns for balance.

    Solving note

    Tenth fill: Sun at R1C6 because column balance closes the line. Update row/column counts before the next placement.

11. Cell 11Eleventh fillR1C5

    Reasoning

    The = sign between this cell and Row 1, column 6 means they must match — Row 1, column 6 is Sun, so this cell is Sun.

    Solving note

    Eleventh fill: Sun at R1C5 because an = sign links neighbors. Update row/column counts before the next placement.

12. Cell 12Twelfth fillR1C4

    Reasoning

    Sun is ruled out: Two suns sit to the right — this cell cannot be sun.

    Solving note

    Twelfth fill: Moon at R1C4 because only one symbol still valid. Update row/column counts before the next placement.

13. Cell 13Thirteenth fillR6C5

    Reasoning

    Column 5 still needs 1 more moon for balance.

    Solving note

    Thirteenth fill: Moon at R6C5 because column balance closes the line. Update row/column counts before the next placement.

14. Cell 14Fourteenth fillR6C6

    Reasoning

    Moon is ruled out: Two moons sit above — a third moon here would break the no-three-in-a-row rule. Column 6 still needs 1 more sun for balance.

    Solving note

    Fourteenth fill: Sun at R6C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.

15. Cell 15Fifteenth fillR1C1

    Reasoning

    Row 1, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Fifteenth fill: Moon at R1C1 because only one symbol still valid. Update row/column counts before the next placement.

16. Cell 16Sixteenth fillR1C2

    Reasoning

    Row 1, column 2 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Sixteenth fill: Sun at R1C2 because only one symbol still valid. Update row/column counts before the next placement.

17. Cell 17Seventeenth fillR1C3

    Reasoning

    Row 1, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Seventeenth fill: Moon at R1C3 because only one symbol still valid. Update row/column counts before the next placement.

18. Cell 18Eighteenth fillR2C1

    Reasoning

    Row 2, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Eighteenth fill: Sun at R2C1 because only one symbol still valid. Update row/column counts before the next placement.

19. Cell 19Nineteenth fillR2C2

    Reasoning

    Row 2, column 2 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Nineteenth fill: Sun at R2C2 because only one symbol still valid. Update row/column counts before the next placement.

20. Cell 20Twentieth fillR2C3

    Reasoning

    Row 2, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twentieth fill: Moon at R2C3 because only one symbol still valid. Update row/column counts before the next placement.

21. Cell 21Twenty-first fillR4C1

    Reasoning

    Row 4, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-first fill: Sun at R4C1 because only one symbol still valid. Update row/column counts before the next placement.

22. Cell 22Twenty-second fillR4C2

    Reasoning

    Row 4, column 2 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-second fill: Moon at R4C2 because only one symbol still valid. Update row/column counts before the next placement.

23. Cell 23Twenty-third fillR4C3

    Reasoning

    Row 4, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-third fill: Sun at R4C3 because only one symbol still valid. Update row/column counts before the next placement.

24. Cell 24Twenty-fourth fillR4C4

    Reasoning

    Row 4, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-fourth fill: Moon at R4C4 because only one symbol still valid. Update row/column counts before the next placement.

25. Cell 25Twenty-fifth fillR6C1

    Reasoning

    Row 6, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-fifth fill: Moon at R6C1 because only one symbol still valid. Update row/column counts before the next placement.

26. Cell 26Twenty-sixth fillR6C2

    Reasoning

    Row 6, column 2 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-sixth fill: Moon at R6C2 because only one symbol still valid. Update row/column counts before the next placement.

27. Cell 27Twenty-seventh fillR6C3

    Reasoning

    Row 6, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-seventh fill: Sun at R6C3 because only one symbol still valid. Update row/column counts before the next placement.

28. Cell 28Twenty-eighth fillR6C4

    Reasoning

    Row 6, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.

    Solving note

    Twenty-eighth fill: Sun at R6C4 because only one symbol still valid. Final open cell — grid complete after this.

I trust this grid because every cell I placed was forced — only one symbol still valid (16); the no-three-in-a-row rule blocks a repeat (4); two matching symbols sandwich this cell (3); an = sign links neighbors (2); column balance closes the line (2); row balance forces the last symbol (1). Wrong symbols would break a sign pair or push a row past 3 suns or moons. Several = signs link neighboring cells — once one symbol is known, equal chains propagate suns and moons across the grid.

Phase 1: 6×6 Tango board with 8 locked clues and 4 adjacency signs — each row and column needs 3 suns and 3 moons with no three identical symbols in a line. Step 1: R2C4 → Sun (naked single). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 2: R3C3 → Sun (no-three rule). Moon is ruled out: Two moons sit to the left — a third moon here would break the no-three-in-a-row rule. Step 3: R3C6 → Sun (sandwich rule). Two moons sandwich this cell vertically — it must be Sun. Step 4: R3C5 → Sun (equal sign). The = sign between this cell and Row 3, column 6 means they must match — Row 3, column 6 is Sun, so this cell is Sun. Step 5: R3C4 → Moon (sandwich rule). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 6: R5C3 → Moon (no-three rule). Sun is ruled out: Two suns sit to the left — a third sun here would break the no-three-in-a-row rule. Step 7: R5C5 → Moon (no-three rule). Sun is ruled out: Two suns sit above — a third sun here would break the no-three-in-a-row rule. Step 8: R5C4 → Sun (sandwich rule). Two moons sandwich this cell — it must be Sun to avoid three moons in a row. Step 9: R5C6 → Moon (row balance). Row 5 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons. Step 10: R1C6 → Sun (column balance). Column 6 still needs 2 more suns for balance. Step 11: R1C5 → Sun (equal sign). The = sign between this cell and Row 1, column 6 means they must match — Row 1, column 6 is Sun, so this cell is Sun. Step 12: R1C4 → Moon (naked single). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 13: R6C5 → Moon (column balance). Column 5 still needs 1 more moon for balance. Step 14: R6C6 → Sun (no-three rule). Moon is ruled out: Two moons sit above — a third moon here would break the no-three-in-a-row rule. Step 15: R1C1 → Moon (naked single). Row 1, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 16: R1C2 → Sun (naked single). Row 1, column 2 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 17: R1C3 → Moon (naked single). Row 1, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 18: R2C1 → Sun (naked single). Row 2, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 19: R2C2 → Sun (naked single). Row 2, column 2 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 20: R2C3 → Moon (naked single). Row 2, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 21: R4C1 → Sun (naked single). Row 4, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 22: R4C2 → Moon (naked single). Row 4, column 2 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 23: R4C3 → Sun (naked single). Row 4, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 24: R4C4 → Moon (naked single). Row 4, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 25: R6C1 → Moon (naked single). Row 6, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 26: R6C2 → Moon (naked single). Row 6, column 2 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 27: R6C3 → Sun (naked single). Row 6, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 28: R6C4 → Sun (naked single). Row 6, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Complete: 18 suns and 18 moons across the 6×6 grid. All = and × constraints satisfied — no row or column violates balance or the no-three rule.

Several = signs link neighboring cells — once one symbol is known, equal chains propagate suns and moons across the grid.

Every row and column holds exactly 3 suns and 3 moons (row 1: 3 suns, 3 moons; row 2: 3 suns, 3 moons; row 3: 3 suns, 3 moons; row 4: 3 suns, 3 moons; row 5: 3 suns, 3 moons; row 6: 3 suns, 3 moons).

This 6×6 grid has 8 locked clues and 4 adjacency signs (3 equal, 1 opposite). 18 suns and 18 moons across the 6×6 grid. Every row and column holds exactly 3 suns and 3 moons (row 1: 3 suns, 3 moons; row 2: 3 suns, 3 moons; row 3: 3 suns, 3 moons; row 4: 3 suns, 3 moons; row 5: 3 suns, 3 moons; row 6: 3 suns, 3 moons). Several = signs link neighboring cells — once one symbol is known, equal chains propagate suns and moons across the grid. Use the Solution tab for a cell-by-cell reveal with live board updates and constraint reasoning, or the Solved board tab for the complete grid.