STEPPER

A fair crash ladder. Ten rungs, cash out any time. Survival to rung k is RTP ÷ payoutₖ, so every stopping rule returns the same 97%: the player chooses variance, never expectation.

one draw, ten revealsstrategy-proofeasy 10× · medium 25× · hard 100×
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The math

Loading ALGORITHM.md…

Live API (browser module)

The engine is published as an ES module that implements the RGS provider contract and rolls locally with crypto.getRandomValues: open, valid-bets, bet, next-action, collect, with the observed balance semantics (bet debits the stake, collect credits the win, integer minor units). No server, every round live, and any round replays from its seed. Bet types: EASY.

import { createGame } from 'https://danvid1009.github.io/gnarone-game-math/stepper/api/rgs.js';

const g = createGame({ preset: 'EASY' });                    // presets: EASY, MEDIUM, HARD
                                                       // bet types: EASY
const s = g.open();                                    // session, balance 100000, chipLevels [100,200,500,1000,2500,5000,10000]
let r = g.bet({ sessionId: s.sessionId, betAmount: 1000, betType: 'EASY' });   // fresh crypto seed → nextAction ['CONTINUE']
r = g.nextAction({ roundId: r.roundId, actionCode: 'CONTINUE' });          // step: ['CONTINUE','CASH_OUT'] or the round ends
r = g.nextAction({ roundId: r.roundId, actionCode: 'CASH_OUT' });          // → totalWinAmount, nextAction ['COLLECT']
g.collect({ roundId: r.roundId });                                          // credits the win → { balance }

// Replay any fixture: same seed, same code path, same answer as rounds/007.json
g.bet({ sessionId: s.sessionId, betAmount: 1000, betType: 'EASY', seed: 'fixture-007' });

Presets and static fixtures

Presets: EASY, MEDIUM, HARD (default EASY). Each preset is a frozen configuration and its own folder: the config, derived tables and settlement rule in field.json, plus one hundred pre-drawn rounds from seeds fixture-000 … fixture-099 settled for every bet type. The same seed drives every preset, so round 007 uses the same u everywhere, and the live module reproduces any of them when given the seed.

# presets, their parameters, bet types and realised RTP over the 100 rounds
curl -s https://danvid1009.github.io/gnarone-game-math/stepper/api/index.json

# one preset: parameters, tables (bands / odds / ladder / decks), RN intervals, how to settle
curl -s https://danvid1009.github.io/gnarone-game-math/stepper/api/EASY/field.json

# one round (000–099): seed, full outcome, settlement for every bet type
curl -s https://danvid1009.github.io/gnarone-game-math/stepper/api/EASY/rounds/007.json

# all 100 rounds of a preset (stake and win per bet type)
curl -s https://danvid1009.github.io/gnarone-game-math/stepper/api/EASY/rounds.json

# round 007 played through the real calls: request bodies and every response
curl -s https://danvid1009.github.io/gnarone-game-math/stepper/api/EASY/sample-request.json
curl -s https://danvid1009.github.io/gnarone-game-math/stepper/api/EASY/sample-response.json

Settlement rule is spelled out in each preset's field.json under how_to_settle.

Figures

Returns, survival and the single-RN crash table for the three difficulties.
Returns, survival and the single-RN crash table for the three difficulties.
Monte Carlo under four stopping rules: every one returns the RTP.
Monte Carlo under four stopping rules: every one returns the RTP.
Where the crash falls: the eleven slots of the single draw.
Where the crash falls: the eleven slots of the single draw.

Build it yourself

git clone https://github.com/Danvid1009/gnarone-game-math.git
cd gnarone-game-math/stepper-engine
npm test
node bin/build-ladder.js --rtp 0.97 --max 25 --steps 10 --js