testsAndMisc/kcd2_dice_solver/README.md

KCD2 Dice Solver

Pick which six dice and which badge to bring to a game of dice in Kingdom Come: Deliverance II. Enter what you own; the solver evaluates every loadout your inventory allows and reports the best one with the numbers behind it.

pnpm install
pnpm dev        # http://localhost:5174
pnpm test       # full suite
pnpm coverage   # 100% statements / branches / functions / lines
pnpm lint       # tsc --noEmit + eslint (strictTypeChecked)
pnpm build

Entering an inventory

Three ways, all wired to the same state:

• Click a die's row to add one.
• Scroll the mouse wheel over its counter to step it up or down.
• Search by name — a fuzzy match, so wei finds Weighted die and paintb finds Painter's die B. The same box filters the badge list.

The inventory is saved to localStorage, so it survives a reload.

How the recommendation is computed

Scoring (src/core/scoring.ts) is the wiki's table: 100 per one, 50 per five, 1000 for three ones and 100 × face otherwise, doubled for each die beyond three, and 500/750/1500 for the three straights. A roll scores the best partition of its dice, which is a small memoised search.

Expected value (src/core/evaluate.ts) is exact, not sampled. Scoring depends only on the multiset of faces, so the six dice are convolved into a distribution over count vectors — at most 924 of them, against 6⁶ = 46,656 ordered outcomes. Those vectors stay packed as integers end to end, so the scorer's memo is keyed on them directly. evaluate.test.ts checks the result against a naive full enumeration that shares none of that machinery.

The search (src/core/search.ts) evaluates whole sets, because a Farkle set's value is not the sum of its dice — ranking dice individually and taking the top six is simply wrong. Dice with identical distributions are pooled first (nine of the game's dice are plain uniform dice under different names). Small inventories are enumerated exhaustively and reported as provably optimal; larger ones use a multi-start steepest-ascent local search and are reported as not proven.

Turn value (src/core/simulate.ts) is a Monte Carlo simulation, and unlike the above it depends on how you play. The policy is stated explicitly in that file and its knobs are exposed rather than buried: hold the subset maximising points + 60 × dice-left, bank at 300.

Badges (src/core/badgeValue.ts) split in two. The five that change the scoring table are valued on the exact EV delta after re-running the whole dice search with the rule on — so equipping one can change which dice you should bring. The rest are simulated one charge at a time, with each turn drawing from its own seeded stream so the comparison is paired and the measured difference is the badge rather than a diverged random sequence.

Nothing uses Math.random; every random source is a seeded mulberry32, so every number here is reproducible.

What the numbers are not

• Balatro's die publishes no face probabilities: the wiki's dice-effect row for it is six unfilled d placeholders, and Inara does not list the die at all. Exactly one of its faces is the joker (Jimbo's grinning face), so it is modelled as a fair die whose 1 is replaced by that joker. Which pip the joker replaces is unverified — the 1 is assumed, matching the Devil's head die the game compares it to, and matching "picking it alone will count as if you threw 1".
• The two joker faces score differently, and the scorer keeps them apart. A Devil's head "matches any combination but never scores on its own", so it can never be the lone 1 or 5 that lets you hold a die; Balatro's joker can. Both are assumed able to fill in for any face of a combination, including one made entirely of jokers — the wiki's examples only ever pair a joker with natural dice, so that part is an assumption.
• The three "Advantage" formations (Carpenter's Cut, Executioner's Gallows, Priest's Eye) and the Headstart point leads have no published values. The constants used are marked UNVERIFIED in src/data/badges.ts. Correct them from the game's help screen if you have it open.
• Badge point-per-game figures are estimates for ranking badges against each other, not a prediction of a scoreline.
• The wiki and Inara disagree on about six dice (Ci/Fer/Lu, Painted, Trinity, Holy Trinity, Devil's head). The fandom wiki is treated as canonical; the Inara figures sit in a comment beside each conflicting entry.