Playfield Arcade

FIXED PRACTICE BOARD

Minefield study 9

Solve at your own pace. Ask what follows from the position before applying the suggested move.

Study ID: mines-09 · Original board: mine-study-6

Numbers count all eight neighbours
C1C2C3C4C5C6
R1
R2
R3
R4
R5
R6

Loading interactive controls…

Work from the current board

Choose Reveal or Flag, then activate a hidden square. A flag must be removed before revealing that square. Hints prove mines from revealed numbers rather than trusting flags.

Tab to any control and use Enter or Space.

Interactive help is separate from the written starting-board solution below.

Review the techniques

Rules and proof limits

Reveal all safe squares on a six-by-six board with six mines. A revealed number counts mines in all eight neighbouring directions. Flags are your notes, not proof. The fixed studies begin with a supplied safe opening; they reveal one selected cell per click so you can inspect each inference. The regular arcade game expands zero areas automatically.

A flag is a mark made by the player, not independent evidence of a mine. Subtract only mines already proved or supplied as established facts in an exercise. Local ambiguity does not establish equal probabilities, and another clue or the total mine count may resolve it. The current six-by-six game has six mines; its safe first reveal does not guarantee that every later move can be deduced without guessing.

Show the checked route from the starting position (21 steps)

This route starts from the original study position. It does not describe moves you made differently. Use “Explain a next step” for a deduction from your current marks.

  1. clue 1 at R2C1 requires 1 mines in {R1C1, R1C2}; clue 2 at R2C2 requires 2 in its superset {R1C2, R1C1, R1C3}. Subtracting leaves 1 mines in the 1 extra square. Therefore R1C3 is a mine.
  2. clue 1 at R4C1 requires 1 mines in {R5C1, R5C2}; clue 1 at R4C2 requires 1 in its superset {R5C2, R5C1, R5C3}. Subtracting leaves 0 mines in the 1 extra square. Therefore R5C3 is safe.
  3. clue 1 at R4C3 requires 1 mines in {R5C2, R5C4}; clue 1 at R5C3 requires 1 in its superset {R6C3, R5C2, R5C4, R6C2, R6C4}. Subtracting leaves 0 mines in the 3 extra squares. Therefore R6C3 is safe.
  4. clue 1 at R4C3 requires 1 mines in {R5C2, R5C4}; clue 1 at R5C3 requires 1 in its superset {R5C2, R5C4, R6C2, R6C4}. Subtracting leaves 0 mines in the 2 extra squares. Therefore R6C2 is safe.
  5. clue 1 at R4C1 requires 1 mines in {R5C1, R5C2}; clue 1 at R6C2 requires 1 in its superset {R5C2, R6C1, R5C1}. Subtracting leaves 0 mines in the 1 extra square. Therefore R6C1 is safe.
  6. clue 1 at R4C3 requires 1 mines in {R5C2, R5C4}; clue 1 at R5C3 requires 1 in its superset {R5C2, R5C4, R6C4}. Subtracting leaves 0 mines in the 1 extra square. Therefore R6C4 is safe.
  7. clue 1 at R4C4 requires 1 mines in {R5C4, R5C5}; clue 1 at R6C4 requires 1 in its superset {R5C4, R6C5, R5C5}. Subtracting leaves 0 mines in the 1 extra square. Therefore R6C5 is safe.
  8. clue 1 at R4C4 requires 1 mines in {R5C4, R5C5}; clue 1 at R6C5 requires 1 in its superset {R5C5, R6C6, R5C4, R5C6}. Subtracting leaves 0 mines in the 2 extra squares. Therefore R6C6 is safe.
  9. clue 0 at R6C6 still requires 0 mines among R5C6, R5C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C6 is safe.
  10. clue 0 at R6C6 still requires 0 mines among R5C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C5 is safe.
  11. clue 1 at R4C4 still requires 1 mine among R5C4 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C4 is a mine.
  12. clue 2 at R5C5 still requires 2 mines among R5C4, R4C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C6 is a mine.
  13. Step 1: clue 2 at R5C5 still requires 2 mines among R5C4, R4C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C6 is a mine. Step 2: clue 1 at R3C5 still requires 0 mines among R3C6, R2C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R3C6 is safe.
  14. Step 1: clue 2 at R4C5 still requires 2 mines among R4C6, R5C4 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C6 is a mine. Step 2: clue 1 at R3C5 still requires 0 mines among R2C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R2C6 is safe.
  15. Step 1: clue 1 at R4C4 still requires 1 mine among R5C4 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C4 is a mine. Step 2: clue 1 at R4C3 still requires 0 mines among R5C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C2 is safe.
  16. clue 1 at R4C1 still requires 1 mine among R5C1 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C1 is a mine.
  17. clue 1 at R2C6 requires 1 mines in {R1C6, R1C5}; clue 1 at R2C5 requires 1 in its superset {R1C5, R1C4, R1C6}. Subtracting leaves 0 mines in the 1 extra square. Therefore R1C4 is safe.
  18. clue 1 at R2C3 requires 1 mines in {R1C3, R1C2}; clue 2 at R2C2 requires 2 in its superset {R1C2, R1C1, R1C3}. Subtracting leaves 1 mines in the 1 extra square. Therefore R1C1 is a mine.
  19. Step 1: clue 1 at R2C1 requires 1 mines in {R1C1, R1C2}; clue 2 at R2C2 requires 2 in its superset {R1C2, R1C1, R1C3}. Subtracting leaves 1 mines in the 1 extra square. Therefore R1C3 is a mine. Step 2: clue 1 at R1C4 still requires 0 mines among R1C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R1C5 is safe.
  20. clue 1 at R1C5 still requires 1 mine among R1C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R1C6 is a mine.
  21. Step 1: clue 1 at R1C4 still requires 1 mine among R1C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R1C3 is a mine. Step 2: clue 1 at R2C3 still requires 0 mines among R1C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R1C2 is safe.
Numbers count all eight neighbours
C1C2C3C4C5C6
R1
R2
R3
R4
R5
R6

Final check

Every non-mine square has been revealed. A flag is optional; avoiding every mine and revealing every safe cell establishes completion.

Back to the centreTry the regular game

Playfield Arcade · Updated 3 October 2026 · AI-assisted writing and code; examples checked against explicit constraints. Our method · Report a correction