← Daily Nonogram15×15 NONOGRAM TUTORIAL

How to solve a 15×15 nonogram.

Work through the complete Mountain practice puzzle with 39 explained deductions. This guide reveals the picture; try the same 15×15 puzzle first if you want to solve it yourself.

Where to begin on a larger grid

Start with full lines and overlaps, then check each crossing row or column. On this puzzle, row 8 has a clue of 15, so it fills the whole row. A single run of 13 in a 15-cell line has 11 overlapping cells, but do not apply that shortcut to a clue with several groups.

The unsolved Mountain 15 by 15 puzzle with all row and column clues

Complete step-by-step solution

Each step uses the marks from previous steps. ■ means filled, × means confirmed empty, and an unmarked light cell is unknown. Gold outlines show new marks. Expand any grid to inspect that stage.

  1. Row 8: 15

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

    Show grid after step 1
    Grid after step 1: Row 8: 15
  2. Row 12: 15

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

    Show grid after step 2
    Grid after step 2: Row 12: 15
  3. Row 13: 15

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

    Show grid after step 3
    Grid after step 3: Row 13: 15
  4. Row 14: 15

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

    Show grid after step 4
    Grid after step 4: Row 14: 15
  5. Row 15: 15

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

    Show grid after step 5
    Grid after step 5: Row 15: 15
  6. Column 1: 8

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 9, 10, 11.

    Show grid after step 6
    Grid after step 6: Column 1: 8
  7. Column 2: 9

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 7, 9, 10, 11.

    Show grid after step 7
    Grid after step 7: Column 2: 9
  8. Column 3: 10

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 6, 7, 9, 10, 11.

    Show grid after step 8
    Grid after step 8: Column 3: 10
  9. Column 7: 14

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 2, 3, 4, 5, 6, 7, 9, 10, 11.

    Show grid after step 9
    Grid after step 9: Column 7: 14
  10. Column 8: 15

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 1, 2, 3, 4, 5, 6, 7, 9, 10, 11.

    Show grid after step 10
    Grid after step 10: Column 8: 15
  11. Column 9: 14

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 2, 3, 4, 5, 6, 7, 9, 10, 11.

    Show grid after step 11
    Grid after step 11: Column 9: 14
  12. Column 13: 10

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 6.

    Show grid after step 12
    Grid after step 12: Column 13: 10
  13. Row 6: 11

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 4, 5, 6, 10, 11, 12.

    Show grid after step 13
    Grid after step 13: Row 6: 11
  14. Column 13: 10

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 7, 9, 10, 11.

    Show grid after step 14
    Grid after step 14: Column 13: 10
  15. Column 14: 9

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 7.

    Show grid after step 15
    Grid after step 15: Column 14: 9
  16. Row 7: 13

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill columns 4, 5, 6, 10, 11, 12.

    Show grid after step 16
    Grid after step 16: Row 7: 13
  17. Column 14: 9

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 9, 10, 11.

    Show grid after step 17
    Grid after step 17: Column 14: 9
  18. Column 15: 8

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 9, 10, 11.

    Show grid after step 18
    Grid after step 18: Column 15: 8
  19. Row 1: 1

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15 empty.

    Show grid after step 19
    Grid after step 19: Row 1: 1
  20. Row 2: 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15 empty.

    Show grid after step 20
    Grid after step 20: Row 2: 3
  21. Row 6: 11

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 2, 14, 15 empty.

    Show grid after step 21
    Grid after step 21: Row 6: 11
  22. Row 7: 13

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 15 empty.

    Show grid after step 22
    Grid after step 22: Row 7: 13
  23. Row 9: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 4 empty.

    Show grid after step 23
    Grid after step 23: Row 9: 3, 3, 3
  24. Column 4: 4, 4

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 5.

    Show grid after step 24
    Grid after step 24: Column 4: 4, 4
  25. Row 9: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 5 empty.

    Show grid after step 25
    Grid after step 25: Row 9: 3, 3, 3
  26. Column 5: 5, 4

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 4, 5.

    Show grid after step 26
    Grid after step 26: Column 5: 5, 4
  27. Row 9: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 6 empty.

    Show grid after step 27
    Grid after step 27: Row 9: 3, 3, 3
  28. Column 6: 6, 4

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 3, 4, 5.

    Show grid after step 28
    Grid after step 28: Column 6: 6, 4
  29. Row 9: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 10 empty.

    Show grid after step 29
    Grid after step 29: Row 9: 3, 3, 3
  30. Column 10: 6, 4

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 3, 4, 5.

    Show grid after step 30
    Grid after step 30: Column 10: 6, 4
  31. Row 3: 5

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 2, 3, 4, 5, 11, 12, 13, 14, 15 empty.

    Show grid after step 31
    Grid after step 31: Row 3: 5
  32. Row 9: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 11 empty.

    Show grid after step 32
    Grid after step 32: Row 9: 3, 3, 3
  33. Column 11: 5, 4

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 4, 5.

    Show grid after step 33
    Grid after step 33: Column 11: 5, 4
  34. Row 4: 7

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 2, 3, 4, 12, 13, 14, 15 empty.

    Show grid after step 34
    Grid after step 34: Row 4: 7
  35. Row 9: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 12 empty.

    Show grid after step 35
    Grid after step 35: Row 9: 3, 3, 3
  36. Column 12: 4, 4

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Fill rows 5.

    Show grid after step 36
    Grid after step 36: Column 12: 4, 4
  37. Row 5: 9

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 1, 2, 3, 13, 14, 15 empty.

    Show grid after step 37
    Grid after step 37: Row 5: 9
  38. Row 10: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 4, 5, 6, 10, 11, 12 empty.

    Show grid after step 38
    Grid after step 38: Row 10: 3, 3, 3
  39. Row 11: 3, 3, 3

    Given the marks already made, this line has exactly one legal placement of its runs. The new cells follow from that placement.

    Mark columns 4, 5, 6, 10, 11, 12 empty.

    Show grid after step 39
    Grid after step 39: Row 11: 3, 3, 3

The final grid has 225 determined cells. Its row and column clues match the published puzzle.

Practise the same puzzle

Play the Mountain 15×15 nonogram ↗

Need a smaller first example? Follow the complete 5×5 solution. For the rules behind the deductions, read the Nonogram solving guide.