Démineur

Grids solved step by step

In brief

Two grids produced by the app's generator (Beginner and Intermediate), solved without guessing using the reasoning in the strategy guide, followed by a grid where reasoning reaches its limit. Cells are identified by column and row, counted from the top-left corner.

  • hidden cell
  • open cell
  • flag
  • number used
  • deduced safe cell
  • deduced mine

A Beginner grid

Beginner, 9 × 9 cells, 10 mines. First tap in column 5, row 5: 34 cells open at once. Then 23 reasoning steps: 9 deductions from numbers with no safe neighbors left, 13 from satisfied numbers, 1 deduction using two numbers, and 0 uses of the counter. All 71 mine-free cells are open: the game is won without guessing, with 10 flags placed.

After the first tap

34 of 71 cells open, 0 flags; next step: a number with no safe neighbors left (column 4, row 4): 1 mine, column 5, row 3.

After 6 steps

39 of 71 cells open, 3 flags; next step: a satisfied number (column 6, row 6): 3 safe cells, column 7, row 5, column 7, row 6, and column 7, row 7.

After 12 steps

62 of 71 cells open, 5 flags; next step: a satisfied number (column 7, row 3): 1 safe cell, column 8, row 4.

After 17 steps

65 of 71 cells open, 7 flags; next step: a number with no safe neighbors left (column 6, row 9): 1 mine, column 5, row 9.

End of the game

71 of 71 cells open, 10 flags.

All 23 steps, one by one
  1. a number with no safe neighbors left (column 4, row 4): 1 mine, column 5, row 3.
  2. a satisfied number (column 4, row 3): 1 safe cell, column 5, row 2.
  3. a number with no safe neighbors left (column 4, row 1): 1 mine, column 5, row 1.
  4. a satisfied number (column 5, row 2): 3 safe cells, column 6, row 1, column 6, row 2, and column 6, row 3.
  5. a number with no safe neighbors left (column 4, row 6): 1 mine, column 5, row 7.
  6. a satisfied number (column 5, row 6): 1 safe cell, column 6, row 7.
  7. a satisfied number (column 6, row 6): 3 safe cells, column 7, row 5, column 7, row 6, and column 7, row 7.
  8. a number with no safe neighbors left (column 6, row 5): 1 mine, column 7, row 4.
  9. a satisfied number (column 6, row 3): 2 safe cells, column 7, row 2, and column 7, row 3.
  10. a number with no safe neighbors left (column 6, row 1): 1 mine, column 7, row 1.
  11. a satisfied number (column 7, row 2): 3 safe cells, column 8, row 1, column 8, row 2, and column 8, row 3.
  12. a satisfied number (column 8, row 1): 2 safe cells, column 9, row 1, and column 9, row 2.
  13. a satisfied number (column 7, row 3): 1 safe cell, column 8, row 4.
  14. a number with no safe neighbors left (column 8, row 3): 1 mine, column 9, row 4.
  15. a number with no safe neighbors left (column 7, row 7): 1 mine, column 6, row 8.
  16. a satisfied number (column 6, row 7): 1 safe cell, column 5, row 8.
  17. a satisfied number (column 7, row 8): 1 safe cell, column 6, row 9.
  18. a number with no safe neighbors left (column 6, row 9): 1 mine, column 5, row 9.
  19. two neighboring numbers (column 1, row 7, and column 2, row 7): 1 safe cell, column 3, row 8.
  20. a number with no safe neighbors left (column 3, row 7): 2 mines, column 2, row 8, and column 4, row 8.
  21. a satisfied number (column 1, row 7): 1 safe cell, column 1, row 8.
  22. a satisfied number (column 1, row 8): 2 safe cells, column 1, row 9, and column 2, row 9.
  23. a satisfied number (column 3, row 8): 2 safe cells, column 3, row 9, and column 4, row 9.

An Intermediate grid

Intermediate, 16 × 10 cells, 25 mines. First tap in column 9, row 6: 33 cells open at once. Then 63 reasoning steps: 22 deductions from numbers with no safe neighbors left, 34 from satisfied numbers, 7 deductions using two numbers, and 0 uses of the counter. All 135 mine-free cells are open: the game is won without guessing, with 25 flags placed.

After the first tap

33 of 135 cells open, 0 flags; next step: a number with no safe neighbors left (column 10, row 3): 1 mine, column 9, row 2.

After 16 steps

74 of 135 cells open, 8 flags; next step: a satisfied number (column 6, row 5): 1 safe cell, column 7, row 6.

After 32 steps

90 of 135 cells open, 14 flags; next step: a satisfied number (column 5, row 9): 3 safe cells, column 4, row 10, column 5, row 10, and column 6, row 10.

After 47 steps

119 of 135 cells open, 20 flags; next step: a satisfied number (column 15, row 7): 1 safe cell, column 16, row 8.

End of the game

135 of 135 cells open, 25 flags.

All 63 steps, one by one
  1. a number with no safe neighbors left (column 10, row 3): 1 mine, column 9, row 2.
  2. a satisfied number (column 10, row 1): 1 safe cell, column 9, row 1.
  3. a satisfied number (column 9, row 1): 2 safe cells, column 8, row 1, and column 8, row 2.
  4. a satisfied number (column 8, row 1): 2 safe cells, column 7, row 1, and column 7, row 2.
  5. a number with no safe neighbors left (column 8, row 2): 2 mines, column 7, row 3, and column 8, row 3.
  6. a satisfied number (column 6, row 2): 2 safe cells, column 5, row 3, and column 6, row 3.
  7. a number with no safe neighbors left (column 5, row 2): 1 mine, column 4, row 3.
  8. a satisfied number (column 5, row 3): 3 safe cells, column 4, row 4, column 5, row 4, and column 6, row 4.
  9. a satisfied number (column 6, row 3): 1 safe cell, column 7, row 4.
  10. a satisfied number (column 5, row 4): 3 safe cells, column 4, row 5, column 5, row 5, and column 6, row 5.
  11. a number with no safe neighbors left (column 2, row 4): 1 mine, column 3, row 3.
  12. a satisfied number (column 2, row 3): 1 safe cell, column 3, row 2.
  13. a number with no safe neighbors left (column 4, row 1): 1 mine, column 3, row 1.
  14. a satisfied number (column 3, row 2): 1 safe cell, column 2, row 1.
  15. a number with no safe neighbors left (column 2, row 1): 1 mine, column 1, row 1.
  16. a number with no safe neighbors left (column 6, row 4): 1 mine, column 7, row 5.
  17. a satisfied number (column 6, row 5): 1 safe cell, column 7, row 6.
  18. a number with no safe neighbors left (column 3, row 6): 1 mine, column 4, row 7.
  19. a number with no safe neighbors left (column 4, row 6): 1 mine, column 5, row 7.
  20. a satisfied number (column 5, row 6): 1 safe cell, column 6, row 7.
  21. a satisfied number (column 6, row 6): 1 safe cell, column 7, row 7.
  22. a satisfied number (column 3, row 7): 3 safe cells, column 2, row 8, column 3, row 8, and column 4, row 8.
  23. a number with no safe neighbors left (column 1, row 7): 1 mine, column 1, row 8.
  24. a number with no safe neighbors left (column 10, row 7): 1 mine, column 9, row 8.
  25. a satisfied number (column 8, row 7): 2 safe cells, column 7, row 8, and column 8, row 8.
  26. a number with no safe neighbors left (column 7, row 7): 1 mine, column 6, row 8.
  27. a satisfied number (column 6, row 7): 1 safe cell, column 5, row 8.
  28. a satisfied number (column 4, row 8): 3 safe cells, column 3, row 9, column 4, row 9, and column 5, row 9.
  29. a number with no safe neighbors left (column 3, row 8): 1 mine, column 2, row 9.
  30. a satisfied number (column 2, row 8): 1 safe cell, column 1, row 9.
  31. a satisfied number (column 5, row 8): 1 safe cell, column 6, row 9.
  32. a satisfied number (column 1, row 9): 2 safe cells, column 1, row 10, and column 2, row 10.
  33. a satisfied number (column 5, row 9): 3 safe cells, column 4, row 10, column 5, row 10, and column 6, row 10.
  34. a number with no safe neighbors left (column 3, row 9): 1 mine, column 3, row 10.
  35. two neighboring numbers (column 12, row 1, and column 12, row 2): 1 mine, column 13, row 3.
  36. a satisfied number (column 12, row 3): 2 safe cells, column 13, row 2, and column 13, row 4.
  37. a number with no safe neighbors left (column 12, row 1): 1 mine, column 13, row 1.
  38. a satisfied number (column 13, row 2): 3 safe cells, column 14, row 1, column 14, row 2, and column 14, row 3.
  39. a satisfied number (column 14, row 3): 4 safe cells, column 14, row 4, column 15, row 2, column 15, row 3, and column 15, row 4.
  40. a number with no safe neighbors left (column 14, row 1): 1 mine, column 15, row 1.
  41. a satisfied number (column 15, row 2): 1 safe cell, column 16, row 1.
  42. a satisfied number (column 12, row 4): 1 safe cell, column 13, row 5.
  43. a number with no safe neighbors left (column 12, row 5): 1 mine, column 13, row 6.
  44. a satisfied number (column 12, row 6): 1 safe cell, column 13, row 7.
  45. a satisfied number (column 12, row 7): 1 safe cell, column 13, row 8.
  46. a satisfied number (column 13, row 7): 1 safe cell, column 14, row 8.
  47. a number with no safe neighbors left (column 14, row 7): 1 mine, column 15, row 8.
  48. a satisfied number (column 15, row 7): 1 safe cell, column 16, row 8.
  49. a satisfied number (column 16, row 8): 2 safe cells, column 15, row 9, and column 16, row 9.
  50. two neighboring numbers (column 7, row 8, and column 8, row 8): 1 safe cell, column 9, row 9.
  51. two neighboring numbers (column 10, row 8, and column 11, row 8): 1 safe cell, column 12, row 9.
  52. two neighboring numbers (column 12, row 8, and column 12, row 9): 3 safe cells, column 11, row 10, column 12, row 10, and column 13, row 10.
  53. two neighboring numbers (column 10, row 8, and column 11, row 10): 1 mine, column 10, row 10.
  54. two neighboring numbers (column 13, row 8, and column 13, row 10): 1 safe cell, column 14, row 10.
  55. two neighboring numbers (column 13, row 8, and column 14, row 10): 1 safe cell, column 15, row 10.
  56. a number with no safe neighbors left (column 16, row 9): 1 mine, column 16, row 10.
  57. a satisfied number (column 15, row 9): 1 safe cell, column 14, row 9.
  58. a number with no safe neighbors left (column 13, row 8): 1 mine, column 13, row 9.
  59. a satisfied number (column 12, row 8): 1 safe cell, column 11, row 9.
  60. a number with no safe neighbors left (column 10, row 8): 1 mine, column 10, row 9.
  61. a satisfied number (column 9, row 9): 3 safe cells, column 8, row 9, column 8, row 10, and column 9, row 10.
  62. a number with no safe neighbors left (column 7, row 8): 1 mine, column 7, row 9.
  63. a satisfied number (column 6, row 9): 1 safe cell, column 7, row 10.

A grid where you have to guess

Beginner grid, first tap in the center. After 16 steps, 69 of 71 cells are open; 4 hidden cells remain, with 2 mines on the counter. 2 mine arrangements satisfy all the numbers, and each hidden cell contains a mine in 1 of them: none is safe.