2026-07-01
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Puzzle guide
Full breakdown using the Case file format — cell deductions, sign analysis, and strategy notes.
Overview
LinkedIn Tango #632 is the LinkedIn Tango daily for July 1, 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 9 starting clues and 4 adjacency signs (1 equal, 3 opposite).
Analysis
Case opened on LinkedIn Tango #632: 6×6 Tango grid, 9 preset cells, 4 sign constraints. The completed grid holds 18 suns and 18 moons across the 6×6 grid. Evidence chain: 27 deduced placements after givens.
Forensic read: only one symbol still valid (12); two matching symbols sandwich this cell (6); the no-three-in-a-row rule blocks a repeat (4); column balance closes the line (3); row balance forces the last symbol (2). × pairs dominate this board — opposite signs force alternating symbols and quickly eliminate one option per linked cell. Cross-check every = and × against filled cells — a broken pair is the fastest way to spot a wrong symbol.
Early exhibits (R1C2 → Sun (column balance closes the line); R1C4 → Sun (two matching symbols sandwich this cell); R2C1 → Sun (row balance forces the last symbol)) tie givens to sign constraints. Mid-case placements (R4C1 = Moon, R4C3 = Sun) confirm the propagation theory. Closing exhibits (R6C5 → Sun and R6C6 → Sun) complete the 6×6 grid without violating the no-three rule.
Balance audit: 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). No row or column exceeds 3 of either symbol in the solution.
Constraint verification: 1 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.
Verdict: consistent 6×6 Tango solution. 18 suns and 18 moons across the 6×6 grid. Case closed — 27 deduced cells, zero rule violations.
Cells
Reasoning
Column 2 still needs 3 more suns for balance.
Solving note
Exhibit A: Sun at R1C2 because column balance closes the line. Start from givens and adjacent signs.
Reasoning
Two moons sandwich this cell — it must be Sun to avoid three moons in a row.
Solving note
Exhibit B: Sun at R1C4 because two matching symbols sandwich this cell. Update row/column counts before the next placement.
Reasoning
Row 2 still needs 3 more suns to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Exhibit C: Sun 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 below — this cell cannot be sun. Column 1 still needs 3 more moons for balance.
Solving note
Exhibit D: 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
Exhibit E: Sun at R1C6 because row balance forces the last symbol. 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. Row 2 still needs 2 more suns to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Exhibit F: Sun at R2C3 because two matching symbols sandwich this cell. 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. Row 2 still needs 1 more sun to reach the 3-and-3 balance, so the remaining open cells must be suns.
Solving note
Exhibit G: Sun at R2C5 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. Column 2 still needs 2 more suns for balance.
Solving note
Exhibit H: Sun at R3C2 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 left — a third sun here would break the no-three-in-a-row rule.
Solving note
Exhibit I: Moon at R3C3 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. Two suns sandwich this cell vertically — it must be Moon. Column 1 still needs 2 more moons for balance.
Solving note
Exhibit J: Moon at R4C1 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 left — a third moon here would break the no-three-in-a-row rule.
Solving note
Exhibit K: Sun at R4C3 because the no-three-in-a-row rule blocks a repeat. Update row/column counts before the next placement.
Reasoning
Two moons sandwich this cell vertically — it must be Sun. Column 2 still needs 1 more sun for balance.
Solving note
Exhibit L: Sun at R5C2 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 left — a third sun here would break the no-three-in-a-row rule.
Solving note
Exhibit M: Moon at R5C3 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
Exhibit N: Moon at R6C1 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
Exhibit O: Sun at R6C3 because the no-three-in-a-row rule blocks a repeat. 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
Exhibit P: 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
Exhibit Q: Moon at R3C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 3, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit R: Moon at R3C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit S: Sun at R4C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 4, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit T: Moon at R4C5 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
Exhibit U: Sun at R4C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit V: Moon at R5C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 5, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit W: Sun 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
Exhibit X: Moon at R5C6 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 6, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit Y: Moon at R6C4 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 6, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit Z: Sun at R6C5 because only one symbol still valid. Update row/column counts before the next placement.
Reasoning
Row 6, column 6 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs.
Solving note
Exhibit AA: Sun at R6C6 because only one symbol still valid. Final open cell — grid complete after this.
Verification
Evidence supports the placement chain: 27 cells beyond givens, each with documented reasoning. Alternative symbols at any step would violate an = link, × link, balance limit, or three-in-a-row rule.
Solve path
Phase 1: 6×6 Tango board with 9 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: R1C2 → Sun (column balance). Column 2 still needs 3 more suns for balance. Step 2: R1C4 → Sun (sandwich rule). Two moons sandwich this cell — it must be Sun to avoid three moons in a row. Step 3: R2C1 → Sun (row balance). Row 2 still needs 3 more suns to reach the 3-and-3 balance, so the remaining open cells must be suns. Step 4: R1C1 → Moon (column balance). Sun is ruled out: Two suns sit below — this cell cannot be sun. Step 5: 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 6: R2C3 → Sun (sandwich rule). Two moons sandwich this cell — it must be Sun to avoid three moons in a row. Step 7: R2C5 → Sun (sandwich rule). Two moons sandwich this cell — it must be Sun to avoid three moons in a row. Step 8: R3C2 → Sun (sandwich rule). Two moons sandwich this cell vertically — it must be Sun. Step 9: R3C3 → 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: R4C1 → Moon (sandwich rule). Sun is ruled out: Two suns sit above — a third sun here would break the no-three-in-a-row rule. Step 11: R4C3 → 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 12: R5C2 → Sun (sandwich rule). Two moons sandwich this cell vertically — it must be Sun. Step 13: 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 14: R6C1 → Moon (column balance). Column 1 still needs 1 more moon for balance. Step 15: 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 16: 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 17: 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 18: R3C6 → Moon (naked single). Row 3, column 6 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 19: R4C4 → Sun (naked single). Row 4, column 4 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 20: R4C5 → Moon (naked single). Row 4, column 5 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 21: 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 22: R5C4 → Moon (naked single). Row 5, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 23: R5C5 → Sun (naked single). Row 5, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 24: 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 25: R6C4 → Moon (naked single). Row 6, column 4 must be Moon in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 26: R6C5 → Sun (naked single). Row 6, column 5 must be Sun in the completed grid — fill it to satisfy row and column balance with the remaining signs. Step 27: R6C6 → Sun (naked single). Row 6, column 6 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.
Pattern
× pairs dominate this board — opposite signs force alternating symbols and quickly eliminate one option per linked cell.
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
Early chain: R1C2=Sun, R1C4=Sun, R2C1=Sun. These placements constrain the rest of the grid.
Any symbol that creates three in a row or breaks an = / × pair is illegal — most wrong taps fail on signs, not balance.
Opposite-pair propagation, 9 givens, 4 signs. File that combo for future Tango dailies.
Solution
This 6×6 grid has 9 locked clues and 4 adjacency signs (1 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). × pairs dominate this board — opposite signs force alternating symbols and quickly eliminate one option per linked cell. 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.