2026-07-29
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Puzzle guide
Full breakdown using the Analytical breakdown format — cell deductions, sign analysis, and strategy notes.
Overview
LinkedIn Tango #660 is the LinkedIn Tango daily for July 29, 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.
Answer
18 suns and 18 moons across the 6×6 grid.
This 6×6 board has 4 starting clues and 8 adjacency signs (5 equal, 3 opposite).
Analysis
LinkedIn Tango #660 is a 6×6 Tango board with 4 starting clues and 8 adjacency signs (5 equal, 3 opposite). Every row and column must contain exactly 3 suns and 3 moons, with no three identical symbols consecutive horizontally or vertically.
Technique mix on this archive board: only one symbol still valid (26); the no-three-in-a-row rule blocks a repeat (2); a × sign demands opposites (2); an = sign links neighbors (1); column balance closes the line (1). Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells. Equal signs force matching neighbors; opposite signs force different symbols — propagate those pairs before guessing on isolated cells.
Opening deductions (R2C2 → Sun (only one symbol still valid); R2C1 → Sun (an = sign links neighbors); R2C3 → Moon (the no-three-in-a-row rule blocks a repeat)) establish the first propagation chains from givens and signs. Mid-board (R1C6 = Sun, R2C4 = Moon) is where row and column totals start forcing symbols even without direct sign links. The endgame (R6C5 → Moon and R6C6 → Moon) typically finishes with line-balance pins on the last open rows or columns.
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: 5 equal signs require matching neighbors; 3 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.
Final grid: 18 suns and 18 moons across the 6×6 grid. Pattern tag: sparse givens opener. 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). All 8 sign constraints satisfied.
Cells
Reasoning
Moon is ruled out: Two moons sit below — this cell cannot be moon.
Solving note
Deduction 1: Sun at R2C2 because only one symbol still valid. Start from givens and adjacent signs.
Reasoning
The = sign between this cell and Row 2, column 2 means they must match — Row 2, column 2 is Sun, so this cell is Sun.
Solving note
Deduction 2: Sun at R2C1 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
Deduction 3: Moon at R2C3 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 above — a third moon here would break the no-three-in-a-row rule.
Solving note
Deduction 4: Sun at R5C2 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 2 means they must differ — Row 5, column 2 is Sun, so this cell is Moon.
Solving note
Deduction 5: Moon at R6C2 because a × sign demands opposites. Update row/column counts before the next placement.
Reasoning
Column 2 still needs 1 more sun for balance.
Solving note
Deduction 6: Sun at R1C2 because column balance closes the line. Update row/column counts before the next placement.
Reasoning
The × sign between this cell and Row 1, column 2 means they must differ — Row 1, column 2 is Sun, so this cell is Moon.
Solving note
Deduction 7: Moon at R1C1 because a × sign demands opposites. Update row/column counts before the next placement.
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
Deduction 8: Moon at R1C3 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 1, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 9: Moon at R1C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 1, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 10: Sun at R1C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 1, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 11: Sun at R1C6 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
Deduction 12: Moon at R2C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 2, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 13: Sun at R2C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 2, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 14: Moon at R2C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 3, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 15: Moon at R3C1 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
Deduction 16: 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
Deduction 17: Sun at R3C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 3, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 18: Sun at R3C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 19: Moon at R4C1 because only one symbol still valid. Update row/column counts before the next placement.
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
Deduction 20: Sun 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
Deduction 21: Moon at R4C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 22: Sun at R4C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 23: Sun at R5C1 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 24: Moon 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
Deduction 25: 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
Deduction 26: Moon at R5C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 27: Moon at R5C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 6, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 28: Sun at R6C1 because only one symbol still valid. Update row/column counts before the next placement.
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
Deduction 29: Sun at R6C3 because only one symbol still valid. Update row/column counts before the next placement.
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
Deduction 30: Sun at R6C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 6, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 31: Moon at R6C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 6, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Deduction 32: Moon at R6C6 because only one symbol still valid. Final open cell — grid complete after this.
Verification
The simulated solve order (R2C2 → R2C1 → R2C3 → R5C2 → R6C2 → R1C2 → R1C1 → R1C3 → R1C4 → R1C5 → R1C6 → R2C4 → R2C5 → R2C6 → R3C1 → R3C3 → R3C4 → R3C6 → R4C1 → R4C3 → R4C4 → R4C6 → R5C1 → R5C3 → R5C4 → R5C5 → R5C6 → R6C1 → R6C3 → R6C4 → R6C5 → R6C6) applies only logically forced placements — each step uses only one symbol still valid, line balance, sign propagation, or the no-three rule. The completed grid satisfies 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). Every = and × edge on this 6×6 board is consistent.
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: R2C2 → Sun (naked single). Moon is ruled out: Two moons sit below — this cell cannot be moon. Step 2: R2C1 → Sun (equal sign). The = sign between this cell and Row 2, column 2 means they must match — Row 2, column 2 is Sun, so this cell is Sun. Step 3: R2C3 → 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 4: R5C2 → 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 5: R6C2 → Moon (opposite sign). The × sign between this cell and Row 5, column 2 means they must differ — Row 5, column 2 is Sun, so this cell is Moon. Step 6: R1C2 → Sun (column balance). Column 2 still needs 1 more sun for balance. Step 7: R1C1 → Moon (opposite sign). The × sign between this cell and Row 1, column 2 means they must differ — Row 1, column 2 is Sun, so this cell is Moon. Step 8: 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 9: R1C4 → Moon (naked single). Row 1, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 10: R1C5 → Sun (naked single). Row 1, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 11: R1C6 → Sun (naked single). Row 1, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 12: 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 13: R2C5 → Sun (naked single). Row 2, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 14: R2C6 → Moon (naked single). Row 2, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 15: R3C1 → Moon (naked single). Row 3, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 16: 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 17: 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 18: R3C6 → Sun (naked single). Row 3, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 19: R4C1 → Moon (naked single). Row 4, column 1 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 20: 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 21: 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 22: R4C6 → Sun (naked single). Row 4, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 23: R5C1 → Sun (naked single). Row 5, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 24: R5C3 → Moon (naked single). Row 5, column 3 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 25: 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 26: 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. Step 27: R5C6 → Moon (naked single). Row 5, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 28: R6C1 → Sun (naked single). Row 6, column 1 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 29: 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 30: 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. Step 31: R6C5 → Moon (naked single). Row 6, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 32: R6C6 → Moon (naked single). Row 6, column 6 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
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
On LinkedIn Tango #660, 8 adjacency signs (5 =, 3 ×) do more work than random fills. Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells.
Each row and column needs 3 suns and 3 moons. When a line has one empty cell and needs one more sun, that cell is sun — no guess required.
Few starting clues mean early deductions come from line balance and sign propagation rather than locked cells.
Solution
This 6×6 grid has 4 locked clues and 8 adjacency signs (5 equal, 3 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.