Logic Puzzle Club

LITS of the week: week 1

The full logical solve of the hard LITS for September 1 to September 7, 2026, 10 × 10. 43 steps, 5 techniques, no guessing. Step through it, or jump to any step below.

Region overlap. Every tetromino that still fits in this region covers r1c8, r2c8, r3c8 and r3c9. Only one fit is left: an L.
Step 1 of 43

Every step

  1. Every tetromino that still fits in this region covers r1c8, r2c8, r3c8 and r3c9. Only one fit is left: an L.

  2. Every tetromino that still fits in this region covers r3c3.

  3. Every tetromino that still fits in this region covers r3c6, r4c5 and r4c6.

  4. Every tetromino that still fits in this region covers r5c6, r6c5 and r6c6.

  5. Every tetromino that still fits in this region covers r7c2 and r7c3.

  6. Every tetromino that still fits in this region covers r6c7, r6c8, r7c8 and r7c9. Only one fit is left: an S.

  7. Every tetromino that still fits in this region covers r9c2, r9c3, r10c1 and r10c2. Only one fit is left: an S.

  8. Every tetromino that still fits in this region covers r10c4 and r10c5.

  9. Every tetromino that still fits in this region covers r9c8 and r10c8.

  10. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r1c4, and none covers r2c7.

  11. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r1c10, r2c10 and r3c10, and none covers r2c9, r4c7, r4c8 and r4c9.

  12. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r2c4, and none covers r3c5.

  13. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r3c7, and none covers r5c5. Only one fit is left: an S.

  14. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r6c4, and none covers r5c7. Only one fit is left: an L.

  15. Fits that would finish a 2×2 block of shading are out. Every fit left in this region misses r6c9, r8c8 and r8c9.

  16. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r7c1, and none covers r7c5.

  17. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r8c5, and none covers r7c7, r8c1, r8c2 and r9c1.

  18. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r10c6, and none covers r10c3.

  19. Fits that would touch a tetromino of the same shape next door are out. Every fit left in this region covers r4c10, and none covers r1c9. Only one fit is left: an I.

  20. Fits that would touch a tetromino of the same shape next door are out. Every fit left in this region covers r2c5 and r3c4, and none covers r2c3 and r5c4.

  21. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r1c1, r1c2 and r1c3, and none covers r1c5, r1c6 and r1c7. Only one fit is left: an I.

  22. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r4c3, and none covers r2c1.

  23. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r2c6, and none covers r4c4. Only one fit is left: an L.

  24. Fits that leave a neighbouring region no tetromino that works beside them are out. Every fit left in this region covers r4c1 and r5c1.

  25. Fits that leave a neighbouring region no tetromino that works beside them are out. Every fit left in this region covers r6c10, and none covers r9c9.

  26. Fits that leave a neighbouring region no tetromino that works beside them are out. Every fit left in this region covers r8c6.

  27. Fits that leave a neighbouring region no tetromino that works beside them are out. Every fit left in this region covers r10c9, and none covers r9c6.

  28. Suppose r7c6 is shaded. Following the rules from there, the shading would split apart. So it is white.

  29. Suppose r2c2 is shaded. Following the rules from there, a region would have no tetromino that fits. So it is white.

  30. Every tetromino that still fits in this region covers r5c3.

  31. Fits that would touch a tetromino of the same shape next door are out. Every fit left in this region covers r6c3, and none covers r3c2. Only one fit is left: an I.

  32. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r3c1, and none covers r6c2.

  33. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r6c1, and none covers r7c4. Only one fit is left: an L.

  34. Fits that would touch a tetromino of the same shape next door are out. Every fit left in this region covers r4c2, and none covers r5c2. Only one fit is left: a T.

  35. Suppose r5c8 is shaded. Following the rules from there, the shading would split apart. So it is white.

  36. Every tetromino that still fits in this region covers r7c10.

  37. Suppose r5c9 is shaded. Following the rules from there, the shading would split apart. So it is white.

  38. Every tetromino that still fits in this region covers r8c10.

  39. Fits that would touch a tetromino of the same shape next door are out. Every fit left in this region covers r9c10, and none covers r5c10. Only one fit is left: an I.

  40. Suppose r8c3 is left white. Following the rules from there, the shading would split apart. So it is shaded.

  41. Every tetromino that still fits in this region covers r8c4, and none covers r8c7 and r9c5. Only one fit is left: an I.

  42. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r10c7, and none covers r9c4. Only one fit is left: an I.

  43. Fits that would finish a 2×2 block of shading are out. Every fit left in this region covers r10c10, and none covers r9c7. Only one fit is left: an L.