Logic Puzzle Club

Star Battle of the week: week 3

The full logical solve of the hard Star Battle for September 15 to September 21, 2026, 11 × 11. 74 steps, 8 techniques, no guessing. Step through it, or jump to any step below.

Squeeze. Suppose a star sat at row 1, column 7. Then the region at row 2, column 7 would have no room left for its two stars. So row 1, column 7 is empty.
Step 1 of 74

Every step

  1. Suppose a star sat at row 1, column 7. Then the region at row 2, column 7 would have no room left for its two stars. So row 1, column 7 is empty.

  2. Suppose a star sat at row 1, column 8. Then the region at row 2, column 7 would have no room left for its two stars. So row 1, column 8 is empty.

  3. Suppose a star sat at row 3, column 6. Then the region at row 2, column 7 would have no room left for its two stars. So row 3, column 6 is empty.

  4. Suppose a star sat at row 3, column 7. Then the region at row 2, column 7 would have no room left for its two stars. So row 3, column 7 is empty.

  5. Suppose a star sat at row 3, column 8. Then the region at row 2, column 7 would have no room left for its two stars. So row 3, column 8 is empty.

  6. Suppose a star sat at row 4, column 6. Then the region at row 2, column 7 would have no room left for its two stars. So row 4, column 6 is empty.

  7. Suppose a star sat at row 4, column 8. Then the region at row 2, column 7 would have no room left for its two stars. So row 4, column 8 is empty.

  8. Suppose a star sat at row 5, column 6. Then the region at row 2, column 7 would have no room left for its two stars. So row 5, column 6 is empty.

  9. Suppose a star sat at row 5, column 7. Then the region at row 2, column 7 would have no room left for its two stars. So row 5, column 7 is empty.

  10. Suppose a star sat at row 4, column 9. Then the region at row 3, column 8 would have no room left for its two stars. So row 4, column 9 is empty.

  11. Suppose a star sat at row 5, column 8. Then the region at row 2, column 7 would have no room left for its two stars. So row 5, column 8 is empty.

  12. Suppose a star sat at row 4, column 10. Then the region at row 3, column 8 would have no room left for its two stars. So row 4, column 10 is empty.

  13. Suppose a star sat at row 8, column 5. Then the region at row 6, column 6 would have no room left for its two stars. So row 8, column 5 is empty.

  14. Suppose a star sat at row 8, column 8. Then the region at row 9, column 8 would have no room left for its two stars. So row 8, column 8 is empty.

  15. Suppose a star sat at row 8, column 9. Then the region at row 9, column 8 would have no room left for its two stars. So row 8, column 9 is empty.

  16. Suppose a star sat at row 10, column 7. Then the region at row 9, column 8 would have no room left for its two stars. So row 10, column 7 is empty.

  17. Suppose a star sat at row 10, column 8. Then the region at row 9, column 8 would have no room left for its two stars. So row 10, column 8 is empty.

  18. Suppose a star sat at row 10, column 9. Then the region at row 9, column 8 would have no room left for its two stars. So row 10, column 9 is empty.

  19. Suppose a star sat at row 11, column 7. Then the region at row 9, column 8 would have no room left for its two stars. So row 11, column 7 is empty.

  20. Suppose a star sat at row 11, column 9. Then the region at row 9, column 8 would have no room left for its two stars. So row 11, column 9 is empty.

  21. The open squares of the regions at row 3, column 8 and row 9, column 8 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.

  22. The region at row 2, column 7 needs two stars and has exactly two open squares left, at row 2, column 7 and row 4, column 7. Both get stars.

  23. Suppose a star sat at row 2, column 4. Then the region at row 1, column 6 would have no room left for its two stars. So row 2, column 4 is empty.

  24. Suppose a star sat at row 2, column 5. Then the region at row 1, column 6 would have no room left for its two stars. So row 2, column 5 is empty.

  25. Suppose a star sat at row 2, column 10. Then the region at row 1, column 6 would have no room left for its two stars. So row 2, column 10 is empty.

  26. Suppose a star sat at row 2, column 11. Then the region at row 1, column 6 would have no room left for its two stars. So row 2, column 11 is empty.

  27. Suppose a star sat at row 1, column 2. Then row 2 would have no room left for its last star. So row 1, column 2 is empty.

  28. Suppose a star sat at row 3, column 2. Then row 2 would have no room left for its last star. So row 3, column 2 is empty.

  29. Suppose a star sat at row 3, column 4. Then the region at row 1, column 6 would have no room left for its two stars. So row 3, column 4 is empty.

  30. Suppose a star sat at row 4, column 4. Then the region at row 1, column 6 would have no room left for its two stars. So row 4, column 4 is empty.

  31. Suppose a star sat at row 4, column 5. Then the region at row 1, column 6 would have no room left for its two stars. So row 4, column 5 is empty.

  32. Suppose a star sat at row 6, column 5. Then the region at row 6, column 6 would have no room left for its two stars. So row 6, column 5 is empty.

  33. Suppose a star sat at row 9, column 5. Then the region at row 6, column 6 would have no room left for its two stars. So row 9, column 5 is empty.

  34. The open squares of the regions at row 2, column 10, row 6, column 6, row 7, column 7 and row 1, column 6 all sit inside columns 5, 6, 10 and 11. Those four columns hold exactly eight stars, and the regions need all of them. So the other squares of columns 5, 6, 10 and 11 are empty.

  35. Column 5 needs two stars and has exactly two open squares left, at row 3, column 5 and row 7, column 5. Both get stars.

  36. The region at row 6, column 6 needs one more star and has one open square left, at row 9, column 6. The star goes there.

  37. Column 6 needs one more star and has one open square left, at row 11, column 6. The star goes there.

  38. Suppose a star sat at row 6, column 2. Then the region at row 4, column 5 would have no room left for its two stars. So row 6, column 2 is empty.

  39. Suppose a star sat at row 7, column 2. Then row 8 would have no room left for its two stars. So row 7, column 2 is empty.

  40. Suppose a star sat at row 9, column 1. Then the region at row 9, column 8 would have no room left for its two stars. So row 9, column 1 is empty.

  41. Suppose a star sat at row 9, column 2. Then row 8 would have no room left for its two stars. So row 9, column 2 is empty.

  42. Suppose a star sat at row 9, column 3. Then the region at row 9, column 8 would have no room left for its two stars. So row 9, column 3 is empty.

  43. Suppose a star sat at row 9, column 4. Then the region at row 9, column 8 would have no room left for its two stars. So row 9, column 4 is empty.

  44. Suppose a star sat at row 9, column 10. Then the region at row 9, column 8 would have no room left for its two stars. So row 9, column 10 is empty.

  45. Suppose a star sat at row 9, column 11. Then the region at row 9, column 8 would have no room left for its two stars. So row 9, column 11 is empty.

  46. Suppose a star sat at row 10, column 2. Then the region at row 6, column 2 would have no room left for its two stars. So row 10, column 2 is empty.

  47. Suppose a star sat at row 7, column 3. Then the region at row 8, column 3 would have no room left for its two stars. So row 7, column 3 is empty.

  48. Suppose a star sat at row 8, column 2. Then the region at row 8, column 3 would have no room left for its two stars. So row 8, column 2 is empty.

  49. Suppose a star sat at row 11, column 1. Then the region at row 9, column 8 would have no room left for its two stars. So row 11, column 1 is empty.

  50. Suppose a star sat at row 11, column 2. Then the region at row 9, column 8 would have no room left for its two stars. So row 11, column 2 is empty.

  51. Suppose a star sat at row 1, column 1. Then column 2 would have no room left for its two stars. So row 1, column 1 is empty.

  52. Suppose a star sat at row 1, column 3. Then column 2 would have no room left for its two stars. So row 1, column 3 is empty.

  53. Suppose a star sat at row 2, column 1. Then column 2 would have no room left for its two stars. So row 2, column 1 is empty.

  54. Suppose a star sat at row 2, column 3. Then row 1 would have no room left for its two stars. So row 2, column 3 is empty.

  55. Row 2 needs one more star and has one open square left, at row 2, column 2. The star goes there.

  56. Suppose a star sat at row 4, column 1. Then row 1 would have no room left for its two stars. So row 4, column 1 is empty.

  57. Suppose a star sat at row 4, column 2. Then row 1 would have no room left for its two stars. So row 4, column 2 is empty.

  58. Column 2 needs one more star and has one open square left, at row 5, column 2. The star goes there.

  59. The region at row 1, column 1 needs one more star and has one open square left, at row 1, column 4. The star goes there.

  60. The region at row 4, column 5 needs one more star and has one open square left, at row 5, column 4. The star goes there.

  61. The region at row 8, column 3 needs two stars and has exactly two open squares left, at row 8, column 3 and row 10, column 3. Both get stars.

  62. Row 4 needs one more star and has one open square left, at row 4, column 11. The star goes there.

  63. Row 3 needs one more star and has one open square left, at row 3, column 9. The star goes there.

  64. Suppose a star sat at row 7, column 9. Then row 6 would have no room left for its two stars. So row 7, column 9 is empty.

  65. Suppose a star sat at row 7, column 10. Then row 6 would have no room left for its two stars. So row 7, column 10 is empty.

  66. Suppose a star sat at row 7, column 11. Then row 6 would have no room left for its two stars. So row 7, column 11 is empty.

  67. Row 7 needs one more star and has one open square left, at row 7, column 1. The star goes there.

  68. The region at row 6, column 2 needs one more star and has one open square left, at row 10, column 1. The star goes there.

  69. Suppose a star sat at row 8, column 11. Then row 6 would have no room left for its two stars. So row 8, column 11 is empty.

  70. Row 8 needs one more star and has one open square left, at row 8, column 10. The star goes there.

  71. The region at row 9, column 8 needs two stars and has exactly two open squares left, at row 9, column 8 and row 11, column 8. Both get stars.

  72. The region at row 3, column 8 needs one more star and has one open square left, at row 6, column 9. The star goes there.

  73. The region at row 2, column 10 needs one more star and has one open square left, at row 6, column 11. The star goes there.

  74. The region at row 1, column 6 needs one more star and has one open square left, at row 1, column 10. The star goes there.