Game Mechanics: Directed Route Census
The game consists of twelve fair switches that form all directed nonloop edges on vertices 0 through 3. The reward counts simple directed paths from 0 to 3, with no repeated vertices. Independent fair switches are revealed in row-major edge or matrix order.
The live gross quote is 0.97 times the conditional expected terminal reward, divided by its initial expected reward. It may rise or fall. A zero quote ends the round immediately; a positive final quote settles automatically. Manual collection is available after the first reveal. Auto thresholds of 1.2, 2, 3, or 5 collect the actual full first-crossing quote, and an unreachable threshold waits for the terminal result. The 3% opening deduction appears only once in the quote. Every policy using only revealed information has 97% expected gross return.
Controls, Modes & Stakes
Players select one active stake from 10, 20, 50, or 100. Busy settings and refill locks apply during active play. Sound remains available during play.
| Parameter | Details |
|---|---|
| Stakes | 10, 20, 50, 100 |
| Auto Thresholds | Off, 1.2, 2, 3, 5 |
| Manual Collection | Available after first reveal |
Settlement & Payout Math
Actual payout math and every mode are recorded in the source-bound mathematical evidence. Displayed multipliers are gross coin returns, not profit. A zero quote ends the round immediately; a positive final quote settles at the finite trace cap. Auto thresholds settle the full actual first crossing quote before later zero events.
Simulation measurements are supporting sample observations, not the mathematical payout law. For example, with stop=12 and auto=3, the measured RTP was approximately 97.049%, while the expected RTP remains 97.000%.
Wallet & Persistence Limits
The initial balance is 1000. Idle balance below 10 may be restored to exactly 1000 via a manual idle-only restoration, with fractional change preserved. Reload does not refund an unfinished round; an unfinished round ends without refund or resume upon page reload.
Fractional carry persists through settlement, manual refill, and reload. The settled balance, including zero, persists locally. This is not an automatic replenishment or a network-synchronised account balance.
Privacy & Storage
Game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing. The absence of account or payment controls in the demo does not prove that no personal data are processed. Template declares a Google Fonts stylesheet; actual full-site network capture remains pending.
Audience & Responsibility
The 18+ label reflects this guide's own intended audience policy, not a universal legal age or implemented age gate. Responsible-use pages can describe optional pauses, a personal time/virtual-coin limit, and finding appropriate local qualified help. This demo does not clinically train behaviour or make losses safe.
Frequently asked questions
Do the virtual coins have cash value?
No. The virtual coins used in this demo have no cash value. There is no payment flow, no cash withdrawal, and no external operator guaranteeing value.
What happens if I reload the page during a round?
An unfinished round ends without refund or resume. The balance persists as settled, but any active stake and unrevealed switches are lost.
How is the balance restored if it drops below 10?
Idle balance below 10 may be manually restored to exactly 1000. This is a manual action, not an automatic refill, and fractional change is preserved.
Third-party requests
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