LinkedIn Tango #725 answer — October 2, 2026

Rows count from the top and columns from the left. The rule doing most of the work: no more than two suns or two moons may sit next to each other in a row or column.

1. Column 1 has two moons one above the other in rows 1 and 2, so row 3 of that column is a sun.
2. Row 2 already has its three moons, so its last open cell, column 6, is a sun.
3. Suppose row 6, column 1 were a moon. Then column 1 would have its three moons, so rows 4 and 5 of that column would be suns. That would make three suns in a row, in rows 3, 4, and 5 of column 1. So row 6, column 1 is a sun.
4. Suppose row 1, column 6 were a moon. Then row 1 would have two moons side by side in columns 5 and 6, so column 4 of that row would be a sun. Then row 1 would have its three moons, so columns 2 and 3 of that row would be suns. That would make three suns in a row, in columns 2, 3, and 4 of row 1. So row 1, column 6 is a sun.
5. Column 6 has two suns one above the other in rows 1 and 2, so row 3 of that column is a moon.
6. Suppose row 5, column 6 were a sun. Then row 6, column 6 would be a sun too, because of the = sign above it. That would give column 6 four suns, and it can only hold three. So row 5, column 6 is a moon.
7. Row 5, column 5 is joined by an × sign to the moon to its right, so it is the opposite: a sun.
8. Row 5, column 4 is joined by an = sign to the sun to its right, so it is a sun too.
9. Row 5, column 3 is joined by an × sign to the sun to its right, so it is the opposite: a moon.
10. Row 5, column 2 is joined by an × sign to the moon to its right, so it is the opposite: a sun.
11. Row 6, column 2 is joined by an = sign to the sun above it, so it is a sun too.
12. Row 6, column 6 is joined by an = sign to the moon above it, so it is a moon too.
13. Row 6 has two suns side by side in columns 1 and 2, so column 3 of that row is a moon.
14. Column 2 has two suns one above the other in rows 5 and 6, so row 4 of that column is a moon.
15. Column 3 has two moons one above the other in rows 5 and 6, so row 4 of that column is a sun.
16. Column 6 has two moons one above the other in rows 5 and 6, so row 4 of that column is a sun.
17. Column 2 has moons in rows 2 and 4, so row 3 between them is a sun: another moon would make three in a row.
18. Row 3 has two suns side by side in columns 1 and 2, so column 3 of that row is a moon.
19. Row 5 already has its three suns, so its last open cell, column 1, is a moon.
20. Column 1 already has its three moons, so its last open cell, row 4, is a sun.
21. Row 4 already has its three suns, so its open cells, columns 4 and 5, are moons.
22. Column 4 has moons in rows 2 and 4, so row 3 between them is a sun: another moon would make three in a row.
23. Row 3 already has its three suns, so its last open cell, column 5, is a moon.
24. Column 2 already has its three suns, so its last open cell, row 1, is a moon.
25. Row 1 has two moons side by side in columns 1 and 2, so column 3 of that row is a sun.
26. Row 1 already has its three moons, so its last open cell, column 4, is a sun.
27. Column 4 already has its three suns, so its last open cell, row 6, is a moon.
28. Row 6 has two moons side by side in columns 3 and 4, so column 5 of that row is a sun.