FIXED PRACTICE BOARD
Minefield study 7
Solve at your own pace. Ask what follows from the position before applying the suggested move.
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| 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.
What did this solve teach?
You met the complete win condition. Compare the written route below with your own moves. Identify one deduction you can explain without looking at the answer, and one place where a changed mark could invalidate the next conclusion.
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 (15 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.
- clue 1 at R2C5 still requires 1 mine among R3C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R3C6 is a mine.
- clue 1 at R3C4 still requires 1 mine among R4C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C5 is a mine.
- clue 3 at R3C5 still requires 3 mines among R4C5, R3C6, R4C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C6 is a mine.
- clue 1 at R4C1 requires 1 mines in {R5C1, R5C2}; clue 2 at R4C2 requires 2 in its superset {R5C2, R5C1, R5C3}. Subtracting leaves 1 mines in the 1 extra square. Therefore R5C3 is a mine.
- Step 1: clue 1 at R3C4 still requires 1 mine among R4C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C5 is a mine. Step 2: clue 1 at R4C1 requires 1 mines in {R5C1, R5C2}; clue 2 at R4C2 requires 2 in its superset {R5C2, R5C1, R5C3}. Subtracting leaves 1 mines in the 1 extra square. Therefore R5C3 is a mine. Step 3: clue 2 at R4C4 still requires 0 mines among R5C4, R5C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C4 is safe.
- clue 2 at R4C3 still requires 2 mines among R5C3, R5C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C2 is a mine.
- Step 1: clue 2 at R4C3 still requires 2 mines among R5C3, R5C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C2 is a mine. Step 2: clue 1 at R4C1 still requires 0 mines among R5C1 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C1 is safe.
- Step 1: clue 1 at R3C4 still requires 1 mine among R4C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C5 is a mine. Step 2: clue 2 at R4C2 still requires 2 mines among R5C2, R5C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C3 is a mine. Step 3: clue 2 at R4C4 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.
- Step 1: clue 1 at R4C1 still requires 1 mine among R5C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C2 is a mine. Step 2: clue 1 at R5C1 still requires 0 mines among R6C1, R6C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C1 is safe.
- Step 1: clue 1 at R4C1 still requires 1 mine among R5C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C2 is a mine. Step 2: clue 1 at R5C1 still requires 0 mines among R6C2 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C2 is safe.
- clue 3 at R6C2 still requires 3 mines among R5C2, R6C3, R5C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C3 is a mine.
- Step 1: clue 2 at R4C2 still requires 2 mines among R5C2, R5C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C3 is a mine. Step 2: clue 1 at R3C4 still requires 1 mine among R4C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C5 is a mine. Step 3: clue 3 at R6C2 still requires 3 mines among R5C2, R6C3, R5C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C3 is a mine. Step 4: clue 3 at R5C4 still requires 0 mines among R6C4, R6C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C4 is safe.
- Step 1: clue 2 at R4C2 still requires 2 mines among R5C2, R5C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C3 is a mine. Step 2: clue 1 at R3C4 still requires 1 mine among R4C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R4C5 is a mine. Step 3: clue 3 at R6C2 still requires 3 mines among R5C2, R6C3, R5C3 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C3 is a mine. Step 4: clue 3 at R5C4 still requires 0 mines among R6C5 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C5 is safe.
- clue 0 at R6C5 still requires 0 mines among R6C6, R5C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R6C6 is safe.
- clue 0 at R6C5 still requires 0 mines among R5C6 after the established safe cells and proved mines are accounted for. Player flags are not used as evidence. Therefore R5C6 is safe.
| C1 | C2 | C3 | C4 | C5 | C6 | |
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| 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.