2026-07-27
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Puzzle guide
Full breakdown using the Strategy coach format — cell deductions, sign analysis, and strategy notes.
Overview
LinkedIn Tango #658 is the LinkedIn Tango daily for July 27, 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 14 starting clues and 2 adjacency signs (2 equal, 0 opposite).
Analysis
Teaching board LinkedIn Tango #658: 6×6 cells, 3-and-3 balance per line, no triple runs. Students should read 14 locked clues and 2 signs before filling anything — lesson one is never guess when a line is one symbol short of balance.
Coach note: teach the three global rules together — balance, no-three, and signs. Watch for two identical symbols in a row or column — the no-three rule blocks the third and often forces the opposite symbol nearby. On this board, three-in-a-row trap means students should prioritize sign scanning early.
Phase 1 for students: place R1C3 → Moon (row balance forces the last symbol); R1C4 → Moon (row balance forces the last symbol); R3C1 → Sun (the no-three-in-a-row rule blocks a repeat). Phase 2: verify row and column counts after each placement — ask "does any line now have two suns (or moons) in a row?" Phase 3: finish with R5C4 → Sun and R5C5 → Moon; if a student is guessing here, they skipped a balance check.
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.
Constraint verification: 2 equal signs require matching neighbors; 0 opposite signs require different symbols. A single broken edge means the grid fails even if row balance looks correct.
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.
Recap for students: 14 givens + 22 deductions = full 6×6 board. Replay focusing on three-in-a-row trap reads before using hints.
Cells
Reasoning
Row 1 still needs 2 more moons to reach the 3-and-3 balance, so the remaining open cells must be moons.
Solving note
Opening read: Moon at R1C3 because row balance forces the last symbol. Start from givens and adjacent signs.
Reasoning
Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Row 1 still needs 1 more moon to reach the 3-and-3 balance, so the remaining open cells must be moons.
Solving note
Sign scan: Moon at R1C4 because row balance forces the last symbol. 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
Row check: Sun at R3C1 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
Column check: Moon at R3C2 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
Chain link: Moon at R3C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Two suns sandwich this cell vertically — it must be Moon.
Solving note
Balance pin: Moon at R4C1 because two matching symbols sandwich this cell. Update row/column counts before the next placement.
Reasoning
Two moons sandwich this cell vertically — it must be Sun.
Solving note
Trap avoid: Sun at R4C6 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. Column 1 still needs 1 more sun for balance.
Solving note
Mid-board: Sun at R6C1 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 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
Line close: Moon at R6C6 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Row 2, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Pair test: Sun at R2C3 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 2, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Count verify: Moon at R2C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 3, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Propagation: Sun at R3C3 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 3, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Elimination: Sun at R3C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 3, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Forced cell: Moon at R3C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 2 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Second pass: Sun at R4C2 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Late balance: Moon at R4C3 because only one symbol still valid. Update row/column counts before the next placement.
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
Sign echo: Moon at R4C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Triple guard: Sun at R4C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 2 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Row finish: Moon at R5C2 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Column finish: Sun at R5C3 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Corner cell: Sun at R5C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Edge cell: Moon at R5C5 because only one symbol still valid. Final open cell — grid complete after this.
Verification
Teach verification in three passes: (1) count suns and moons per row and column — 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). (2) walk every sign edge; (3) scan for triple runs. This three-in-a-row trap board rewards that checklist.
Solve path
Phase 1: 6×6 Tango board with 14 locked clues and 2 adjacency signs — each row and column needs 3 suns and 3 moons with no three identical symbols in a line. Step 1: R1C3 → Moon (row balance). Row 1 still needs 2 more moons to reach the 3-and-3 balance, so the remaining open cells must be moons. Step 2: R1C4 → Moon (row balance). Sun is ruled out: Two suns sit to the right — this cell cannot be sun. Step 3: R3C1 → 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 4: R3C2 → 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 5: R3C6 → 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 6: R4C1 → Moon (sandwich rule). Two suns sandwich this cell vertically — it must be Moon. Step 7: R4C6 → Sun (sandwich rule). Two moons sandwich this cell vertically — it must be Sun. Step 8: R6C1 → Sun (column balance). Moon is ruled out: Two moons sit to the right — this cell cannot be moon. Step 9: 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. Step 10: R2C3 → Sun (naked single). Row 2, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 11: R2C4 → Moon (naked single). Row 2, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 12: R3C3 → Sun (naked single). Row 3, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 13: R3C4 → Sun (naked single). Row 3, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 14: R3C5 → Moon (naked single). Row 3, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 15: R4C2 → Sun (naked single). Row 4, column 2 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 16: R4C3 → Moon (naked single). Row 4, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 17: 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 18: R4C5 → Sun (naked single). Row 4, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 19: R5C2 → Moon (naked single). Row 5, column 2 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 20: R5C3 → Sun (naked single). Row 5, column 3 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 21: R5C4 → Sun (naked single). Row 5, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 22: R5C5 → Moon (naked single). Row 5, column 5 must be Moon 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.
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
3 suns + 3 moons per line, no triples, respect signs — all three interact on every cell.
After each placement, update row and column tallies. On this board, only one symbol still valid (13); the no-three-in-a-row rule blocks a repeat (4); row balance forces the last symbol (2); two matching symbols sandwich this cell (2); column balance closes the line (1).
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). Walk every sign edge one more time before celebrating.
Solution
This 6×6 grid has 14 locked clues and 2 adjacency signs (2 equal, 0 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.