The full logical solve of the hard Star Battle for September 1 to September 7, 2026, 11 × 11. 77 steps, 8 techniques, no guessing. Step through it, or jump to any step below.
Every square of the region at row 4, column 11 that can still hold a star is in column 11. So column 11’s stars belong to that region, and the rest of column 11 is empty.
Every square of the region at row 1, column 10 that can still hold a star is in column 10. So column 10’s stars belong to that region, and the rest of column 10 is empty.
Suppose a star sat at row 2, column 9. Then column 10 would have no room left for its two stars. So row 2, column 9 is empty.
Suppose a star sat at row 4, column 9. Then column 10 would have no room left for its two stars. So row 4, column 9 is empty.
Suppose a star sat at row 4, column 11. Then column 10 would have no room left for its two stars. So row 4, column 11 is empty.
Suppose a star sat at row 5, column 10. Then column 11 would have no room left for its two stars. So row 5, column 10 is empty.
Suppose a star sat at row 1, column 9. Then column 10 would have no room left for its two stars. So row 1, column 9 is empty.
Suppose a star sat at row 3, column 9. Then column 10 would have no room left for its two stars. So row 3, column 9 is empty.
Suppose a star sat at row 2, column 7. Then the region at row 1, column 4 would have no room left for its two stars. So row 2, column 7 is empty.
Suppose a star sat at row 6, column 5. Then the region at row 5, column 4 would have no room left for its two stars. So row 6, column 5 is empty.
Suppose a star sat at row 6, column 7. Then the region at row 5, column 4 would have no room left for its two stars. So row 6, column 7 is empty.
Suppose a star sat at row 8, column 8. Then the region at row 9, column 9 would have no room left for its two stars. So row 8, column 8 is empty.
Suppose a star sat at row 8, column 9. Then the region at row 9, column 9 would have no room left for its two stars. So row 8, column 9 is empty.
Suppose a star sat at row 9, column 8. Then the region at row 9, column 9 would have no room left for its two stars. So row 9, column 8 is empty.
Suppose a star sat at row 4, column 8. Then the region at row 4, column 9 would have no room left for its two stars. So row 4, column 8 is empty.
Suppose a star sat at row 4, column 10. Then the region at row 4, column 9 would have no room left for its two stars. So row 4, column 10 is empty.
Suppose a star sat at row 2, column 10. Then column 10 would have no room left for its two stars. So row 2, column 10 is empty.
The region at row 1, column 10 needs two stars and has exactly two open squares left, at row 1, column 10 and row 3, column 10. Both get stars.
Suppose a star sat at row 5, column 8. Then the region at row 4, column 9 would have no room left for its two stars. So row 5, column 8 is empty.
Suppose a star sat at row 4, column 4. Then the region at row 5, column 4 would have no room left for its two stars. So row 4, column 4 is empty.
Suppose a star sat at row 4, column 5. Then the region at row 5, column 4 would have no room left for its two stars. So row 4, column 5 is empty.
Suppose a star sat at row 3, column 2. Then row 4 would have no room left for its two stars. So row 3, column 2 is empty.
Suppose a star sat at row 5, column 2. Then row 4 would have no room left for its two stars. So row 5, column 2 is empty.
Suppose a star sat at row 6, column 4. Then the region at row 5, column 4 would have no room left for its two stars. So row 6, column 4 is empty.
Suppose a star sat at row 6, column 8. Then the region at row 4, column 9 would have no room left for its two stars. So row 6, column 8 is empty.
Suppose a star sat at row 6, column 9. Then the region at row 4, column 9 would have no room left for its two stars. So row 6, column 9 is empty.
Suppose a star sat at row 10, column 8. Then the region at row 9, column 9 would have no room left for its two stars. So row 10, column 8 is empty.
Suppose a star sat at row 10, column 9. Then the region at row 9, column 9 would have no room left for its two stars. So row 10, column 9 is empty.
The open squares of the regions at row 4, column 9 and row 9, column 9 all sit inside columns 8 and 9. Those two columns hold exactly four stars, and the regions need all of them. So the other squares of columns 8 and 9 are empty.
Column 8 needs two stars and has exactly two open squares left, at row 7, column 8 and row 11, column 8. Both get stars.
The region at row 4, column 9 needs one more star and has one open square left, at row 5, column 9. The star goes there.
The region at row 9, column 9 needs one more star and has one open square left, at row 9, column 9. The star goes there.
Suppose a star sat at row 1, column 1. Then the region at row 1, column 4 would have no room left for its two stars. So row 1, column 1 is empty.
Suppose a star sat at row 1, column 2. Then the region at row 1, column 4 would have no room left for its two stars. So row 1, column 2 is empty.
Suppose a star sat at row 1, column 3. Then the region at row 1, column 4 would have no room left for its two stars. So row 1, column 3 is empty.
Suppose a star sat at row 1, column 5. Then the region at row 1, column 4 would have no room left for its two stars. So row 1, column 5 is empty.
Suppose a star sat at row 1, column 6. Then the region at row 1, column 4 would have no room left for its two stars. So row 1, column 6 is empty.
Suppose a star sat at row 2, column 4. Then the region at row 1, column 4 would have no room left for its two stars. So row 2, column 4 is empty.
Suppose a star sat at row 5, column 1. Then the region at row 5, column 4 would have no room left for its two stars. So row 5, column 1 is empty.
Suppose a star sat at row 5, column 3. Then the region at row 5, column 4 would have no room left for its two stars. So row 5, column 3 is empty.
Suppose a star sat at row 5, column 5. Then the region at row 5, column 4 would have no room left for its two stars. So row 5, column 5 is empty.
Suppose a star sat at row 4, column 3. Then the region at row 5, column 4 would have no room left for its two stars. So row 4, column 3 is empty.
Suppose a star sat at row 3, column 1. Then row 4 would have no room left for its two stars. So row 3, column 1 is empty.
Suppose a star sat at row 3, column 6. Then row 4 would have no room left for its two stars. So row 3, column 6 is empty.
Suppose a star sat at row 3, column 7. Then row 4 would have no room left for its two stars. So row 3, column 7 is empty.
Suppose a star sat at row 5, column 6. Then row 4 would have no room left for its two stars. So row 5, column 6 is empty.
Suppose a star sat at row 5, column 7. Then row 4 would have no room left for its two stars. So row 5, column 7 is empty.
The region at row 5, column 4 needs two stars and has exactly two open squares left, at row 5, column 4 and row 6, column 6. Both get stars.
Suppose a star sat at row 3, column 4. Then the region at row 3, column 3 would have no room left for its two stars. So row 3, column 4 is empty.
Suppose a star sat at row 6, column 1. Then column 11 would have no room left for its two stars. So row 6, column 1 is empty.
Suppose a star sat at row 6, column 2. Then column 11 would have no room left for its two stars. So row 6, column 2 is empty.
Row 6 needs one more star and has one open square left, at row 6, column 11. The star goes there.
The region at row 4, column 11 needs one more star and has one open square left, at row 8, column 11. The star goes there.
Suppose a star sat at row 8, column 2. Then the region at row 6, column 1 would have no room left for its two stars. So row 8, column 2 is empty.
The open squares of rows 1, 2, 3 and 4 all sit inside the regions at row 3, column 3, row 1, column 4, row 1, column 10 and row 1, column 1. Those four regions hold exactly eight stars, and the rows need all of them. So the other squares of the regions at row 3, column 3, row 1, column 4, row 1, column 10 and row 1, column 1 are empty.
Suppose a star sat at row 2, column 2. Then the region at row 3, column 3 would have no room left for its two stars. So row 2, column 2 is empty.
Suppose a star sat at row 2, column 3. Then the region at row 3, column 3 would have no room left for its two stars. So row 2, column 3 is empty.
Suppose a star sat at row 3, column 5. Then row 2 would have no room left for its two stars. So row 3, column 5 is empty.
Row 3 needs one more star and has one open square left, at row 3, column 3. The star goes there.
The region at row 3, column 3 needs one more star and has one open square left, at row 4, column 1. The star goes there.
Suppose a star sat at row 7, column 1. Then row 2 would have no room left for its two stars. So row 7, column 1 is empty.
Suppose a star sat at row 8, column 1. Then row 2 would have no room left for its two stars. So row 8, column 1 is empty.
Suppose a star sat at row 8, column 3. Then row 7 would have no room left for its last star. So row 8, column 3 is empty.
Suppose a star sat at row 9, column 1. Then row 2 would have no room left for its two stars. So row 9, column 1 is empty.
Suppose a star sat at row 9, column 3. Then the region at row 6, column 1 would have no room left for its two stars. So row 9, column 3 is empty.
Suppose a star sat at row 9, column 4. Then the region at row 6, column 1 would have no room left for its two stars. So row 9, column 4 is empty.
Suppose a star sat at row 9, column 5. Then row 8 would have no room left for its last star. So row 9, column 5 is empty.
Suppose a star sat at row 9, column 6. Then the region at row 6, column 1 would have no room left for its two stars. So row 9, column 6 is empty.
Suppose a star sat at row 9, column 7. Then the region at row 6, column 1 would have no room left for its two stars. So row 9, column 7 is empty.
Row 9 needs one more star and has one open square left, at row 9, column 2. The star goes there.
Column 7 needs two stars and has exactly two open squares left, at row 1, column 7 and row 4, column 7. Both get stars.
The region at row 1, column 4 needs one more star and has one open square left, at row 2, column 5. The star goes there.
The region at row 1, column 1 needs one more star and has one open square left, at row 2, column 1. The star goes there.
The region at row 6, column 1 needs one more star and has one open square left, at row 11, column 2. The star goes there.
Row 7 needs one more star and has one open square left, at row 7, column 3. The star goes there.
The region at row 6, column 2 needs one more star and has one open square left, at row 8, column 5. The star goes there.
The region at row 7, column 7 needs two stars and has exactly two open squares left, at row 10, column 4 and row 10, column 6. Both get stars.