The game uses a 4×4 board where hazards follow a specific Hamiltonian cycle constraint. Every revealed-information strategy has a 97% expected gross return in the fair support model, which is not a win probability. The demo allows testing of exact mechanics, probabilities, and payout structures without external account dependencies.
Game Mechanics and Hazard Layout
King Closed Tour operates on a 4×4 board with cells numbered row-major 1–16. A fixed number of hazards are hidden uniformly among complete layouts satisfying a specific constraint: the eight-neighbour king hazard graph must have a Hamiltonian cycle visiting each hazard once and returning to its start. At least three hazards are required.
- Layout Consistency: One complete 4×4 hazard layout is sampled uniformly from the published constraint support of the selected count and stays fixed for the round. The hidden layout is never redrawn.
- Cell Selection: After safe picks, only compatible layouts remain. Each cell shows its exact conditional safety probability. Already revealed cells, proven safe cells, and proven hazards cannot be selected.
- Pricing: Each selected safe cell is priced from the exact posterior over consistent layouts. The gross value starts at 0.97 times the stake and becomes the current value divided by that cell's safe probability. Known-safe cells leave value unchanged; proven hazards are disabled.
Payout, Settlement and Stopping Rules
The live gross quote is calculated as 0.97 times the original support count divided by the surviving support count. A hazard returns zero. Collection is available after at least one safe reveal. Individual prospective values above 1,000 times the original stake are disabled. Automatic collection occurs only when no eligible uncertain move remains.
- Settlement: If no uncertain cell remains after a safe pick, settlement is automatic.
- Blocking: A choice with a prospective quote above 1,000× is blocked without changing state.
- Strategy Return: Every revealed-information strategy has a 97% expected gross return in the fair support model. This is not a win probability.
Mathematical Evidence and Simulation
The following table presents the exact mathematical evidence and simulation measurements for various hazard counts and support depths. Simulation measurements are supporting sample observations, not the mathematical payout law.
| Hazards | Support Count | Exact Expected RTP | Measured Return |
|---|---|---|---|
| 3 | 36 | 97.00000000000001% | 96.998975% |
| 4 | 61 | 97.00000000000013% | 97.01143% |
| 5 | 116 | 97.00000000000011% | 97.01099% |
Measured percentages vary slightly from exact values due to sampling variance, but the exact expected gross return remains consistent at 97% across the fair support model.
Controls and Modes
The demo supports specific stake amounts and maintains consistent control states during play.
- Stakes: One whole stake of 10, 20, 50, or 100 virtual coins.
- Lock State: Settings and refill are locked while active. Sound remains available.
- Unfinished Rounds: An unfinished round ends without refund or resume upon reload.
Wallet and Persistence
The demo wallet operates independently of external accounts or payment flows. A valid saved balance is loaded, including zero; 1,000 coins is used only when no valid saved balance is available.
- Initial Balance: 1,000 virtual coins.
- Restoration: An idle balance below 10 manually restores the balance to exactly 1,000, preserving fractional change. This is a manual set, not automatic replenishment.
- Fractional Carry: Persists through settlement, manual refill, and reload.
- Settled Balance: Local settled balance including zero persists.
Privacy and Storage
Privacy features are limited to local storage observations and do not guarantee anonymity.
- Storage: The game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing.
- Third-Party Requests: The published page includes Google Fonts, Statinside counter.js with ID 44 and a noscript image at statinside.com/pixel.png?id=44. Only that image has referrerpolicy=unsafe-url. These declarations do not establish complete third-party processing or retention practices.
- Account Flow: None. Demo payment flow: None.
Frequently asked questions
Is King Closed Tour a licensed product from a verified operator?
The identity of the external business, licence, official address, and safety reputation is unknown. This review is based on the supplied source-bound rules and this guide's own demo. Evidence does not establish a verified operator.
What is the expected return in King Closed Tour?
Every revealed-information strategy has a 97% expected gross return in the fair support model. This is not a win probability. The exact expected RTP is 97.00000000000001% for 3 hazards, 97.00000000000013% for 4 hazards, and 97.00000000000011% for 5 hazards.
How does the balance restoration work in the demo?
An idle balance below 10 manually restores the balance to exactly 1,000, preserving fractional change. This is a manual set, not automatic replenishment. An unfinished round ends without refund or resume upon reload.
