Game Mechanics and Layout
The board consists of 16 cells (row-major 1–16). A fixed number of hazards are placed uniformly among complete layouts satisfying the constraint that the eight-neighbour king hazard graph has a Hamiltonian cycle visiting each hazard once and returning to its start (minimum 3 hazards). One complete layout is sampled from the published constraint support and stays fixed for the round.
Cells are priced from the exact posterior over consistent layouts. The live gross quote is calculated as 0.97 times the original support count divided by the surviving support count. After a safe pick, known-safe cells leave value unchanged; proven hazards are disabled.
Pricing, Collection and Stopping Rules
Gross value starts at 0.97 times stake and becomes current value divided by that cell's safe probability. A hazard returns zero. Collection is possible after at least one safe reveal. Individual prospective values above 1000× the original stake are disabled. Automatic collection occurs only when no eligible uncertain move remains.
If no uncertain cell remains after a safe pick, settlement is automatic. A choice with a prospective quote above 1,000× is blocked without changing state.
Expected Return and Math Evidence
Every revealed-information strategy has a 97% expected gross return in the fair support model; this is not a win probability. Simulation measurements are supporting sample observations, not the mathematical payout law.
| Depth | Stake | Exact RTP | Measured RTP |
|---|---|---|---|
| 1 | 10 | 97.00000000000001% | 96.998975% |
| 2 | 20 | 97.00000000000004% | 97.05785% |
| 3 | 50 | 96.99999999999999% | 97.05008% |
Wallet and Persistence
The initial balance is 1000. Idle balance below 10 manually restores 1000, preserving fractional change. This is a manual idle-only restoration that sets the balance exactly; it is not automatic replenishment. Fractional carry persists through settlement, manual refill and reload. A valid saved balance is loaded, including zero; 1,000 coins is used only when no valid saved balance is available.
An unfinished round ends without refund or resume on reload. Settings and refill are locked while active.
Controls and Modes
Controlled stakes are 10, 20, 50, or 100. Settings and refill are locked while active. Sound remains available. The demo has no account-login flow and no payment flow.
Privacy and Storage
Game source uses localStorage for settled balance and fractional carry; this does not establish anonymity or exclude other processing. The absence of account controls does not prove that no personal data are processed.
Frequently asked questions
Is the hazard layout redrawn during play?
No. One complete 4×4 hazard layout is sampled uniformly from the published constraint support of the selected count and stays fixed.
How is the balance restored?
Idle balance below 10 manually restores 1000, preserving fractional change. Unfinished rounds receive no refund on reload.
What is the expected return?
Every revealed-information strategy has a 97% expected gross return in the fair support model. This is not a win probability.
