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2026-09-13T14:17:12.811Z
LKMines (counting + subset rule + exact enumeration)
1,000
[ { "difficulty": "Beginner", "board": "9x9", "mines": 10, "games": 1000, "winPct": 95.5, "solvedNoGuessPct": 78.5, "avgGuessesPerGame": 0.3 }, { "difficulty": "Intermediate", "board": "16x16", "mines": 40, "games": 1000, "winPct": 85.6, "solvedNoGuessPct": 52.4...

Minesweeper Solver Benchmark — Win-Rate by Difficulty

Full-game win-rate for the LK Forge Minesweeper Solver across the three standard difficulties. The shipped engine turns every revealed number into a constraint and applies counting → the subset rule → exact enumeration of all valid mine arrangements; when logic is exhausted it opens the hidden cell with the lowest computed mine probability. 1,000 seeded games per difficulty. Rules: classic board sizes, the first click is guaranteed safe (a single non-mine cell in the centre — not a guaranteed large opening), and a game counts as a win only when every non-mine cell is cleared.

Headline numbers (1,000 games each)

Difficulty Board Mines Win rate Solved with no guess Avg guesses/game
Beginner 9×9 10 95.5% 78.5% 0.30
Intermediate 16×16 40 85.6% 52.4% 0.89
Expert 30×16 99 36.2% 3.8% 3.82

Expert Minesweeper is famously hard even for optimal play — under this safe-first-click rule the best-known solvers land in the ~34–40% range on classic 30×16 Expert, so 36.2% is squarely in the expert-solver band. Win rates quoted above this band (e.g. ~54%) generally use the easier guaranteed-opening rule, where the first click always reveals a large zero-region; that is a different rule, not a stronger solver. The steep drop from Beginner to Expert is driven by how often a position cannot be resolved by logic and forces a guess: 78.5% of Beginner games need no guess at all, versus 3.8% of Expert games.

Files

  • data/minesweeper-benchmark.json — per difficulty: winPct, solvedNoGuessPct, avgGuessesPerGame.

Method

  • Engine: the shipped minesweeper-engine.js (LKMines), used unmodified as the decision-maker.
  • Play policy: flag proven mines, open proven-safe cells; when none exist, open the hidden cell with the minimum exact mine probability.
  • Reproducible: seeded RNG for mine placement; center first click (guaranteed safe).

Reproduce

node scripts/benchmark-minesweeper.mjs

Citation

LK Forge (2026). Minesweeper Solver Benchmark — Win-Rate by Difficulty. https://lkforge.com/tools/puzzles/minesweeper-solver/

Everything runs client-side, no login, no tracking.

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