2026-06-30
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Puzzle guide
Full breakdown using the Solver walkthrough format — cell deductions, sign analysis, and strategy notes.
Overview
LinkedIn Tango #631 is the LinkedIn Tango daily for June 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: Easy. Estimated solve time: 3–5 min.
Answer
18 suns and 18 moons across the 6×6 grid.
This 6×6 board has 4 starting clues and 8 adjacency signs (6 equal, 2 opposite).
Analysis
When I open LinkedIn Tango #631, I scan the 6×6 grid for locked suns and moons first, then hunt = and × pairs. This board has 4 givens and 8 signs — 6 equal links and 2 opposite links — before I touch an empty cell.
My first pass is always sign pairs near givens. Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells. I count suns and moons per row and column as I go — when a line needs exactly one more sun (or moon) and only one empty cell remains, that cell is forced.
I fill R2C3 → Moon (only one symbol still valid); R2C4 → Moon (an = sign links neighbors); R1C4 → Sun (only one symbol still valid) in my first few minutes — those cells unlock the most sign chains. Around mid-solve I lock R3C1 = Moon, R4C1 = Moon when row and column counts tighten. The last cells (R1C6 → Moon and R6C6 → Sun) are almost always balance finishes, not guesses.
Line balance check: 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). That 3-and-3 split is the backstop when signs alone do not decide a cell.
Sign verification: every = pair matches (6 pairs) and every × pair differs (2 pairs). I re-walk signs after the grid is full — one mismatched neighbor invalidates the solve.
No-three rule pass: scan every row and column for three consecutive suns or moons — none appear in the completed grid. Sandwich cases (sun-moon-sun patterns around a filled pair) often force the middle cell and show up as two matching symbols sandwich this cell deductions on boards like this.
Done — 18 suns and 18 moons across the 6×6 grid. I used 32 forced placements after the 4 givens. Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells.
Cells
Reasoning
Sun is ruled out: Two suns sit below — this cell cannot be sun.
Solving note
First fill: Moon at R2C3 because only one symbol still valid. Start from givens and adjacent signs.
Reasoning
The = sign between this cell and Row 2, column 3 means they must match — Row 2, column 3 is Moon, so this cell is Moon.
Solving note
Second fill: Moon at R2C4 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit below — this cell cannot be moon.
Solving note
Third fill: Sun at R1C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
The × sign between this cell and Row 1, column 4 means they must differ — Row 1, column 4 is Sun, so this cell is Moon.
Solving note
Fourth fill: Moon at R1C3 because a × sign demands opposites. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit to the right — this cell cannot be moon.
Solving note
Fifth fill: Sun at R2C2 because only one symbol still valid. Update row/column counts before the next placement.
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
Sixth fill: Sun at R2C5 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit to the right — this cell cannot be sun.
Solving note
Seventh fill: Moon at R4C2 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
The × sign between this cell and Row 4, column 2 means they must differ — Row 4, column 2 is Moon, so this cell is Sun.
Solving note
Eighth fill: Sun at R3C2 because a × sign demands opposites. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit below — this cell cannot be sun.
Solving note
Ninth fill: Moon at R1C2 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit to the right — this cell cannot be moon.
Solving note
Tenth fill: Sun at R1C1 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit to the right — this cell cannot be sun.
Solving note
Eleventh fill: Moon at R3C1 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
The = sign between this cell and Row 3, column 1 means they must match — Row 3, column 1 is Moon, so this cell is Moon.
Solving note
Twelfth fill: Moon at R4C1 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit below — this cell cannot be moon.
Solving note
Thirteenth fill: Sun at R2C1 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 2 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons.
Solving note
Fourteenth fill: Moon at R2C6 because row balance forces the last symbol. Update row/column counts before the next placement.
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
Fifteenth fill: Moon at R4C5 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
The = sign between this cell and Row 4, column 5 means they must match — Row 4, column 5 is Moon, so this cell is Moon.
Solving note
Sixteenth fill: Moon at R3C5 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit to the left — a third moon here would break the no-three-in-a-row rule. Row 3 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Seventeenth fill: Sun at R3C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Row 4 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. 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
Eighteenth fill: Sun at R4C6 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit above — a third moon here would break the no-three-in-a-row rule.
Solving note
Nineteenth fill: Sun at R5C1 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit above — a third sun here would break the no-three-in-a-row rule.
Solving note
Twentieth fill: Moon at R5C3 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
The = sign between this cell and Row 5, column 3 means they must match — Row 5, column 3 is Moon, so this cell is Moon.
Solving note
Twenty-first fill: Moon at R5C4 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit to the right — this cell cannot be moon.
Solving note
Twenty-second fill: Sun at R5C2 because only one symbol still valid. Update row/column counts before the next placement.
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
Twenty-third fill: Sun at R5C5 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit above — a third sun here would break the no-three-in-a-row rule. Row 5 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons.
Solving note
Twenty-fourth fill: Moon at R5C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Column 1 still needs 1 more moon for balance.
Solving note
Twenty-fifth fill: Moon at R6C1 because column balance closes the line. Update row/column counts before the next placement.
Reasoning
Column 2 still needs 1 more moon for balance.
Solving note
Twenty-sixth fill: Moon at R6C2 because column balance closes the line. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit to the left — a third moon here would break the no-three-in-a-row rule. Column 3 still needs 1 more sun for balance.
Solving note
Twenty-seventh fill: Sun at R6C3 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Column 4 still needs 1 more sun for balance. The = sign between this cell and Row 6, column 3 means they must match — Row 6, column 3 is Sun, so this cell is Sun.
Solving note
Twenty-eighth fill: Sun at R6C4 because an = sign links neighbors. Update row/column counts before the next placement.
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
Twenty-ninth fill: Moon at R6C5 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Column 5 still needs 1 more sun for balance.
Solving note
Thirtieth fill: Sun at R1C5 because column balance closes the line. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit to the left — a third sun here would break the no-three-in-a-row rule. Row 1 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons.
Solving note
Thirty-first fill: Moon at R1C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Row 6 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. Column 6 still needs 1 more sun for balance.
Solving note
Thirty-second fill: Sun at R6C6 because row balance forces the last symbol. Final open cell — grid complete after this.
Verification
I trust this grid because every cell I placed was forced — the no-three-in-a-row rule blocks a repeat (10); only one symbol still valid (9); an = sign links neighbors (6); column balance closes the line (3); a × sign demands opposites (2); row balance forces the last symbol (2). Wrong symbols would break a sign pair or push a row past 3 suns or moons. Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells.
Solve path
Phase 1: 6×6 Tango board with 4 locked clues and 8 adjacency signs — each row and column needs 3 suns and 3 moons with no three identical symbols in a line. Step 1: R2C3 → Moon (naked single). Sun is ruled out: Two suns sit below — this cell cannot be sun. Step 2: R2C4 → Moon (equal sign). The = sign between this cell and Row 2, column 3 means they must match — Row 2, column 3 is Moon, so this cell is Moon. Step 3: R1C4 → Sun (naked single). Moon is ruled out: Two moons sit below — this cell cannot be moon. Step 4: R1C3 → Moon (opposite sign). The × sign between this cell and Row 1, column 4 means they must differ — Row 1, column 4 is Sun, so this cell is Moon. Step 5: R2C2 → Sun (naked single). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 6: R2C5 → 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 7: R4C2 → Moon (naked single). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 8: R3C2 → Sun (opposite sign). The × sign between this cell and Row 4, column 2 means they must differ — Row 4, column 2 is Moon, so this cell is Sun. Step 9: R1C2 → Moon (naked single). Sun is ruled out: Two suns sit below — this cell cannot be sun. Step 10: R1C1 → Sun (naked single). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 11: R3C1 → Moon (naked single). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 12: R4C1 → Moon (equal sign). The = sign between this cell and Row 3, column 1 means they must match — Row 3, column 1 is Moon, so this cell is Moon. Step 13: R2C1 → Sun (naked single). Moon is ruled out: Two moons sit below — this cell cannot be moon. Step 14: R2C6 → Moon (row balance). Row 2 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons. Step 15: R4C5 → 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 16: R3C5 → Moon (equal sign). The = sign between this cell and Row 4, column 5 means they must match — Row 4, column 5 is Moon, so this cell is Moon. Step 17: R3C6 → 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 18: R4C6 → Sun (equal sign). Row 4 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. Step 19: R5C1 → 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 20: R5C3 → 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 21: R5C4 → Moon (equal sign). The = sign between this cell and Row 5, column 3 means they must match — Row 5, column 3 is Moon, so this cell is Moon. Step 22: R5C2 → Sun (naked single). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 23: R5C5 → 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 24: R5C6 → 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 25: R6C1 → Moon (column balance). Column 1 still needs 1 more moon for balance. Step 26: R6C2 → Moon (column balance). Column 2 still needs 1 more moon for balance. Step 27: R6C3 → 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 28: R6C4 → Sun (equal sign). Column 4 still needs 1 more sun for balance. Step 29: R6C5 → 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 30: R1C5 → Sun (column balance). Column 5 still needs 1 more sun for balance. Step 31: R1C6 → 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 32: R6C6 → Sun (row balance). Row 6 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. 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.
Pattern
Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells.
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).
Learn more in Tango Puzzle Strategies →Takeaways
Locked givens plus sign pairs opened the first 5 cells. After that, row and column counts did the heavy lifting.
Scan for two identical symbols in a line before placing — the no-three rule blocked several wrong taps on this 6×6 board.
Retry LinkedIn Tango #631 using one hint per stuck phase. You should finish balance lines without guessing once 4 givens are mapped.
Solution
This 6×6 grid has 4 locked clues and 8 adjacency signs (6 equal, 2 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). Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells. 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.