2026-07-20
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Puzzle guide
Full breakdown using the Solver walkthrough format — cell deductions, sign analysis, and strategy notes.
Overview
LinkedIn Tango #651 is the LinkedIn Tango daily for July 20, 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 8 starting clues and 8 adjacency signs (4 equal, 4 opposite).
Analysis
When I open LinkedIn Tango #651, I scan the 6×6 grid for locked suns and moons first, then hunt = and × pairs. This board has 8 givens and 8 signs — 4 equal links and 4 opposite links — before I touch an empty cell.
My first pass is always sign pairs near givens. Watch for two identical symbols in a row or column — the no-three rule blocks the third and often forces the opposite symbol nearby. 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 R2C2 → Sun (a × sign demands opposites); R2C1 → Moon (row balance forces the last symbol); R2C4 → Moon (a × sign demands opposites) in my first few minutes — those cells unlock the most sign chains. Around mid-solve I lock R3C1 = Sun, R3C6 = Sun when row and column counts tighten. The last cells (R6C4 → Sun and R6C6 → Moon) 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 (4 pairs) and every × pair differs (4 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 28 forced placements after the 8 givens. Watch for two identical symbols in a row or column — the no-three rule blocks the third and often forces the opposite symbol nearby.
Cells
Reasoning
The × sign between this cell and Row 1, column 2 means they must differ — Row 1, column 2 is Moon, so this cell is Sun.
Solving note
First fill: Sun at R2C2 because a × sign demands opposites. Start from givens and adjacent signs.
Reasoning
Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Row 2 still needs 3 more moons to reach the 3-and-3 balance, so the remaining open cells must be moons.
Solving note
Second fill: Moon at R2C1 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. Two suns sandwich this cell — it must be Moon to avoid three suns in a row. Row 2 still needs 2 more moons to reach the 3-and-3 balance, so the remaining open cells must be moons. 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
Third fill: Moon at R2C4 because a × sign demands opposites. 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
Fourth fill: Moon at R2C6 because row balance forces the last symbol. Update row/column counts before the next placement.
Reasoning
The × sign between this cell and Row 2, column 3 means they must differ — Row 2, column 3 is Sun, so this cell is Moon.
Solving note
Fifth fill: Moon at R3C3 because a × sign demands opposites. Update row/column counts before the next placement.
Reasoning
The × sign between this cell and Row 2, column 5 means they must differ — Row 2, column 5 is Sun, so this cell is Moon.
Solving note
Sixth fill: Moon at R3C5 because a × sign demands opposites. Update row/column counts before the next placement.
Reasoning
Two moons sandwich this cell — it must be Sun to avoid three moons in a row.
Solving note
Seventh fill: Sun at R3C4 because two matching symbols sandwich this cell. Update row/column counts before the next placement.
Reasoning
The = sign between this cell and Row 5, column 2 means they must match — Row 5, column 2 is Sun, so this cell is Sun.
Solving note
Eighth fill: Sun at R4C2 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit below — this cell cannot be sun. Two suns sandwich this cell vertically — it must be Moon. Column 2 still needs 2 more moons for balance.
Solving note
Ninth fill: Moon at R3C2 because two matching symbols sandwich this cell. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Row 3 still needs 2 more suns to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Tenth fill: Sun at R3C1 because row balance forces the last symbol. Update row/column counts before the next placement.
Reasoning
Row 3 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Eleventh fill: Sun at R3C6 because row balance forces the last symbol. Update row/column counts before the next placement.
Reasoning
The = sign between this cell and Row 5, column 4 means they must match — Row 5, column 4 is Moon, so this cell is Moon.
Solving note
Twelfth fill: Moon at R4C4 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
The = sign between this cell and Row 6, column 3 means they must match — Row 6, column 3 is Moon, so this cell is Moon.
Solving note
Thirteenth fill: Moon at R5C3 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Column 3 still needs 2 more suns for balance.
Solving note
Fourteenth fill: Sun at R1C3 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.
Solving note
Fifteenth fill: Moon at R1C5 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Moon is ruled out: Two moons sit below — this cell cannot be moon. Two moons sandwich this cell vertically — it must be Sun. Column 3 still needs 1 more sun for balance.
Solving note
Sixteenth fill: Sun at R4C3 because two matching symbols sandwich this cell. 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
Seventeenth fill: Moon at R4C1 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. The = sign between this cell and Row 6, column 5 means they must match — Row 6, column 5 is Sun, so this cell is Sun.
Solving note
Eighteenth fill: Sun at R5C5 because an = sign links neighbors. Update row/column counts before the next placement.
Reasoning
Sun is ruled out: Two suns sit below — this cell cannot be sun. Column 5 still needs 1 more moon for balance.
Solving note
Nineteenth fill: Moon at R4C5 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. Row 4 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Twentieth fill: Sun at R4C6 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
Twenty-first fill: Moon at R5C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Row 5 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Twenty-second fill: Sun at R5C1 because row balance forces the last symbol. 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. Column 2 still needs 1 more moon for balance.
Solving note
Twenty-third fill: Moon at R6C2 because the no-three-in-a-row rule blocks a repeat. 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-fourth fill: Sun at R6C1 because only one symbol still valid. 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 R1C1 because column balance closes the line. Update row/column counts before the next placement.
Reasoning
Row 1 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Twenty-sixth fill: Sun at R1C6 because row balance forces the last symbol. 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 4 still needs 1 more sun for balance.
Solving note
Twenty-seventh fill: Sun at R6C4 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 left — a third sun here would break the no-three-in-a-row rule. Row 6 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons. Column 6 still needs 1 more moon for balance.
Solving note
Twenty-eighth fill: Moon at R6C6 because the no-three-in-a-row rule blocks a repeat. Final open cell — grid complete after this.
Verification
I trust this grid because every cell I placed was forced — row balance forces the last symbol (6); the no-three-in-a-row rule blocks a repeat (6); a × sign demands opposites (4); an = sign links neighbors (4); two matching symbols sandwich this cell (3); column balance closes the line (3); only one symbol still valid (2). Wrong symbols would break a sign pair or push a row past 3 suns or moons. Watch for two identical symbols in a row or column — the no-three rule blocks the third and often forces the opposite symbol nearby.
Solve path
Phase 1: 6×6 Tango board with 8 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: R2C2 → Sun (opposite sign). The × sign between this cell and Row 1, column 2 means they must differ — Row 1, column 2 is Moon, so this cell is Sun. Step 2: R2C1 → Moon (row balance). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 3: R2C4 → Moon (opposite sign). Sun is ruled out: Two suns sit to the left — a third sun here would break the no-three-in-a-row rule. Step 4: 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 5: R3C3 → Moon (opposite sign). The × sign between this cell and Row 2, column 3 means they must differ — Row 2, column 3 is Sun, so this cell is Moon. Step 6: R3C5 → Moon (opposite sign). The × sign between this cell and Row 2, column 5 means they must differ — Row 2, column 5 is Sun, so this cell is Moon. Step 7: R3C4 → Sun (sandwich rule). Two moons sandwich this cell — it must be Sun to avoid three moons in a row. Step 8: R4C2 → Sun (equal sign). The = sign between this cell and Row 5, column 2 means they must match — Row 5, column 2 is Sun, so this cell is Sun. Step 9: R3C2 → Moon (sandwich rule). Sun is ruled out: Two suns sit below — this cell cannot be sun. Step 10: R3C1 → Sun (row balance). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 11: R3C6 → Sun (row balance). Row 3 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. Step 12: R4C4 → Moon (equal sign). The = sign between this cell and Row 5, column 4 means they must match — Row 5, column 4 is Moon, so this cell is Moon. Step 13: R5C3 → Moon (equal sign). The = sign between this cell and Row 6, column 3 means they must match — Row 6, column 3 is Moon, so this cell is Moon. Step 14: R1C3 → Sun (column balance). Column 3 still needs 2 more suns for balance. Step 15: R1C5 → 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: R4C3 → Sun (sandwich rule). Moon is ruled out: Two moons sit below — this cell cannot be moon. Step 17: R4C1 → Moon (naked single). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 18: R5C5 → Sun (equal sign). Moon is ruled out: Two moons sit to the left — a third moon here would break the no-three-in-a-row rule. Step 19: R4C5 → Moon (column balance). Sun is ruled out: Two suns sit below — this cell cannot be sun. Step 20: R4C6 → 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 21: 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 22: R5C1 → Sun (row balance). Row 5 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. Step 23: R6C2 → 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 24: R6C1 → Sun (naked single). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 25: R1C1 → Moon (column balance). Column 1 still needs 1 more moon for balance. Step 26: R1C6 → Sun (row balance). Row 1 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns. Step 27: R6C4 → 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: R6C6 → 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. 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
Watch for two identical symbols in a row or column — the no-three rule blocks the third and often forces the opposite symbol nearby.
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 #651 using one hint per stuck phase. You should finish balance lines without guessing once 8 givens are mapped.
Solution
This 6×6 grid has 8 locked clues and 8 adjacency signs (4 equal, 4 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). Watch for two identical symbols in a row or column — the no-three rule blocks the third and often forces the opposite symbol nearby. 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.