--- license: mit pretty_name: "Minesweeper Solver Benchmark (win-rate by difficulty)" language: - en tags: - minesweeper - solver - constraint-satisfaction - probability - benchmark - csp task_categories: - other size_categories: - n<1K configs: - config_name: winrate data_files: data/minesweeper-benchmark.json --- # Minesweeper Solver Benchmark — Win-Rate by Difficulty By **[LK Forge](https://lkforge.com)**: privacy-first browser tools & games, nothing to install, nothing uploaded. Full-game win-rate for the [LK Forge Minesweeper Solver](https://lkforge.com/tools/puzzles/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. - **How the solver works:** https://lkforge.com/tools/puzzles/minesweeper-solver/how-the-minesweeper-solver-works.html - **Try it:** https://lkforge.com/tools/puzzles/minesweeper-solver/ - **Producer:** [LK Forge](https://lkforge.com) — client-side AI games, solvers, and tools. ## 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 ```bash 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.