Game Rules and Objective
The game involves counting distinct nonempty factors that appear at least twice within a sequence. To qualify, these factors must have at least two distinct left extensions and two distinct right extensions. Beginning and end sentinels count as extensions. The game reveals twelve independent fair bits in order, defining 4096 equally likely complete words.
Scoring and Modes
Players preselect a raw-score power: one, two, or three. The scoring function applies this power to the raw score. The exact unconditional means for these powers are:
- Power 1: 7.03466796875
- Power 2: 50.91064453125
- Power 3: 377.62841796875
A live gross bank quote is calculated at each prefix by averaging all remaining possible words. The quote can rise or fall. If the conditional potential drops to zero, it settles at zero.
Controls and Auto-Bank
Controls include manual banking, which settles the current conditional quote immediately. An automatic reveal cap can be set to 4, 8, or 12 phases. The selected cap automatically banks the current quote. During a trace, the captured stake, power, and cap are locked. Each semantic reveal follows a 650ms interval.
Payout and Settlement
The live gross bank quote is calculated as:
0.96 × captured whole stake × conditional expected terminal raw score raised to selected power ÷ unconditional mean for that power.
Any bounded stopping rule has an exact 96% expected gross return before integer rounding. Fractional carry persists across settlement. The expected gross is not a guarantee of net profit.
Wallet and Persistence
The demo wallet starts with an initial balance of 1000. A manual idle-only restoration sets the balance to exactly 1000 when it falls below 10. Fractional carry persists across settlement, refill, and reload. Settled balances persist locally, including zero. Reloading an unfinished trace ends it without refund or resume.
Mathematical Evidence
Simulation measurements are supporting sample observations. The table below shows the exact gross RTP and measured RTP for different modes and caps over 1,000,000 rounds:
| Mode | Auto Cap | Exact RTP | Measured RTP |
|---|---|---|---|
| 0 | 4 | 0.96 | 95.99824629274454 |
| 0 | 8 | 0.96 | 95.99251947630003 |
| 0 | 12 | 0.96 | 95.9868177155691 |
| 1 | 4 | 0.96 | 96.0080180402608 |
| 1 | 8 | 0.96 | 95.98938475445416 |
| 1 | 12 | 0.96 | 95.9596346298895 |
| 2 | 4 | 0.96 | 96.00139973621218 |
| 2 | 8 | 0.96 | 95.99480855557864 |
| 2 | 12 | 0.96 | 95.99313916799348 |
Frequently asked questions
Does the demo require an account login?
No, this demo has no account-login flow. It uses browser local storage for the settled demo balance and fractional carry.
Is the 96% RTP guaranteed for every session?
No. The 96% is the exact expected gross return under supported stopping policies. Simulation measurements (e.g., 95.99824629274454%) are supporting observations, not promised session results.
What happens if I reload during an unfinished round?
Reloading an unfinished trace ends it without refund or resume. The captured debit is lost.
