Logic Puzzle Club

Bridges of the week: week 4

The full logical solve of the hard Bridges for September 22 to September 28, 2026, 14 × 14. 36 steps, 5 techniques, no guessing. Step through it, or jump to any step below.

Island needs every bridge. The 4 at row 1, column 1 needs 4, and its neighbors can take 4 at most. So it takes all of them: two bridges to the 6 at row 1, column 3 and two bridges to the 2 at row 3, column 1.
Step 1 of 36

Every step

  1. The 4 at row 1, column 1 needs 4, and its neighbors can take 4 at most. So it takes all of them: two bridges to the 6 at row 1, column 3 and two bridges to the 2 at row 3, column 1.

  2. The 6 at row 1, column 3 needs 6, and its neighbors can take 6 at most. So it takes all of them: two bridges to the 4 at row 1, column 9 and two bridges to the 6 at row 5, column 3.

  3. The 4 at row 2, column 5 needs 4, and its neighbors can take 4 at most. So it takes all of them: two bridges to the 2 at row 2, column 8 and two bridges to the 4 at row 4, column 5.

  4. The 4 at row 3, column 7 needs 4, and its neighbors can take 4 at most. So it takes all of them: two bridges to the 7 at row 3, column 9 and two bridges to the 5 at row 6, column 7.

  5. The 4 at row 4, column 5 needs 2 more, and only the 6 at row 9, column 5 can still take bridges. So it gets two bridges to the 6 at row 9, column 5.

  6. The 2 at row 5, column 1 needs 2 more, and only the 6 at row 5, column 3 can still take bridges. So it gets two bridges to the 6 at row 5, column 3.

  7. The 1 at row 7, column 2 needs 1 more, and only the 2 at row 13, column 2 can still take bridges. So it gets one bridge to the 2 at row 13, column 2.

  8. The 4 at row 8, column 10 needs 4, and its neighbors can take 4 at most. So it takes all of them: two bridges to the 2 at row 8, column 8 and two bridges to the 6 at row 8, column 12.

  9. The 4 at row 9, column 7 needs 4, and its neighbors can take 4 at most. So it takes all of them: two bridges to the 5 at row 6, column 7 and two bridges to the 6 at row 9, column 5.

  10. The 5 at row 6, column 7 needs 1 more, and only the 3 at row 6, column 9 can still take bridges. So it gets one bridge to the 3 at row 6, column 9.

  11. The 2 at row 13, column 2 needs 1 more, and only the 4 at row 13, column 5 can still take bridges. So it gets one bridge to the 4 at row 13, column 5.

  12. The 3 at row 1, column 14 needs 3, one less than the 4 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 2 at row 1, column 12 and at least one bridge to the 2 at row 5, column 14.

  13. The 4 at row 1, column 9 needs 4, one less than the 5 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 7 at row 3, column 9.

  14. The 7 at row 3, column 9 needs 7, one less than the 8 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 4 at row 3, column 12 and at least one bridge to the 3 at row 6, column 9.

  15. The 4 at row 3, column 12 needs 4, one less than the 5 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 6 at row 8, column 12.

  16. The 6 at row 5, column 3 needs 6, one less than the 7 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 5 at row 9, column 3.

  17. The 6 at row 8, column 12 needs 6, one less than the 7 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 4 at row 13, column 12.

  18. The 5 at row 9, column 3 needs 5, one less than the 6 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 6 at row 9, column 5 and at least one bridge to the 2 at row 12, column 3.

  19. The 4 at row 13, column 5 needs 4, and its neighbors can take 4 at most. So it takes all of them: one bridge to the 6 at row 9, column 5 and two bridges to the 5 at row 13, column 9.

  20. The 5 at row 9, column 3 needs 5, and its neighbors can take 5 at most. So it takes all of them: a second bridge to the 6 at row 5, column 3 and a second bridge to the 2 at row 12, column 3.

  21. The 3 at row 10, column 6 needs 3, one less than the 4 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 5 at row 10, column 9 and at least one bridge to the 3 at row 12, column 6.

  22. The 2 at row 11, column 14 needs 2, one less than the 3 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 3 at row 13, column 14.

  23. The 3 at row 12, column 6 needs 3, one less than the 4 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 2 at row 12, column 8.

  24. The 5 at row 13, column 9 needs 5, one less than the 6 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 5 at row 10, column 9 and at least one bridge to the 4 at row 13, column 12.

  25. The 3 at row 13, column 14 needs 3, one less than the 4 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 4 at row 13, column 12.

  26. The bridge between the 4 at row 8, column 10 and the 6 at row 8, column 12 blocks the way from the 1 at row 6, column 11 to the 2 at row 10, column 11. The 1 at row 6, column 11 needs 1 more, and only the 3 at row 6, column 9 can still take bridges. So it gets one bridge to the 3 at row 6, column 9.

  27. The 7 at row 3, column 9 needs 7, and its neighbors can take 7 at most. So it takes all of them: a second bridge to the 4 at row 1, column 9 and a second bridge to the 4 at row 3, column 12.

  28. The 5 at row 10, column 9 needs 5, one less than the 6 its neighbors could take. Even if the others give all they can, it still gets at least one bridge to the 2 at row 10, column 11.

  29. The bridge between the 3 at row 10, column 6 and the 5 at row 10, column 9 blocks the way from the 2 at row 12, column 8 to the 2 at row 8, column 8. The 2 at row 12, column 8 needs 1 more, and only the 3 at row 12, column 6 can still take bridges. So it gets a second bridge to the 3 at row 12, column 6.

  30. The 3 at row 10, column 6 needs 1 more, and only the 5 at row 10, column 9 can still take bridges. So it gets a second bridge to the 5 at row 10, column 9.

  31. The 1 at row 12, column 11 needs 1 more, and only the 2 at row 10, column 11 can still take bridges. So it gets one bridge to the 2 at row 10, column 11.

  32. The 5 at row 10, column 9 needs 1 more, and only the 5 at row 13, column 9 can still take bridges. So it gets a second bridge to the 5 at row 13, column 9.

  33. Suppose the 2 at row 1, column 12 and the 3 at row 1, column 14 shared two bridges. Following the rules from there breaks one, so they don’t. The 2 at row 1, column 12 needs 1 more, and only the 4 at row 3, column 12 can still take bridges. So it gets one bridge to the 4 at row 3, column 12.

  34. The 3 at row 1, column 14 needs 1 more, and only the 2 at row 5, column 14 can still take bridges. So it gets a second bridge to the 2 at row 5, column 14.

  35. The 6 at row 8, column 12 needs 6, and its neighbors can take 6 at most. So it takes all of them: one bridge to the 1 at row 8, column 14 and a second bridge to the 4 at row 13, column 12.

  36. The 2 at row 11, column 14 needs 1 more, and only the 3 at row 13, column 14 can still take bridges. So it gets a second bridge to the 3 at row 13, column 14.