Game Mechanics and Scoring
Return Arc Cover operates on a graph structure defined by twelve independent fair left or right bounces. These bounces create thirteen signed positions, including the origin. The core scoring function calculates the minimum vertex cover of a graph where vertices are consecutive-return arcs and edges represent strict endpoint interlacing.
The game features three distinct modes, labeled Powers 1, 2, and 3. Each power level uses the exact complete-path mean for its calculations. This mathematical approach results in an expected gross return of 96% across all power modes.
Controls, Stakes, and Settlement
Players can choose from four stake levels: 10, 20, 50, or 100 virtual coins. A single active ball is used per round. The interface does not include automatic play, stop timers, or cash-out features. Players must wait for the complete draw to settle.
Payouts are recorded as gross coin returns, which include the original stake. There is no separate profit display; the gross return reflects the total coins returned to the wallet after settlement. The fractional payout carry persists through settlement, manual refills, and page reloads.
Wallet Behavior and Restoration
The demo uses a local settled balance stored in the browser's localStorage. The initial balance is set to 1,000 virtual coins. If the idle balance drops below 10 coins, players can manually restore it to 1,000 coins. This restoration is not automatic and must be triggered by the user.
Reloading the page while a round is in progress does not refund the unfinished ball or resume the round. The fractional payout carry in the balance persists, but the active game state is lost. Controls for stake, mode, and refill are locked during active play, though sound controls remain available.
Mathematical Evidence and RTP
The expected return is a mathematical expectation, not a guarantee for any single session. Simulation data from 1,000,000 rounds for each power mode shows measured returns close to the expected 96% gross return. For example, Power 1 showed a measured return of approximately 96.02%, Power 2 showed 95.95%, and Power 3 showed 95.89%.
These figures represent sample observations from long-term simulations. The exact carry values and computational artifacts are managed internally, but the displayed multipliers reflect the gross coin returns based on the vertex cover scoring logic.
Identity and Data Usage
The Jaonai brand identity in this demo is unverified as a specific gaming operator. The demo account flow and payment flow are both absent, confirming that no cash value is attached to the virtual coins. There is no cashier, no KYC requirement, and no payment processing.
The game source uses localStorage to save the settled balance and fractional carry. This storage method does not prove anonymity, as other processing may occur.
Responsible Use and Audience
This guide is intended for an 18+ audience, which is a policy guideline rather than a strictly enforced legal age gate within the demo. Players are encouraged to monitor their time and virtual coin usage voluntarily.
The game caps and resets are mechanical features designed to manage the simulation, not guarantees of safe behavior. Players can use the manual refill feature to reset their balance when it drops below the threshold, but this does not alter the mathematical expectation of the game. Suitable local qualified help can be sought for responsible gaming concerns.
Frequently asked questions
How is the score calculated in Return Arc Cover?
The score is calculated as the minimum vertex cover of a graph. The vertices of this graph are consecutive-return arcs, and the edges represent strict endpoint interlacing. This is determined by twelve independent fair left or right bounces that define thirteen signed positions, including the origin.
What happens if I reload the page during a round?
Reloading the page ends the unfinished round without refunding the stake or resuming the game. The fractional payout carry in your balance persists, but the active ball and its current state are lost. You must start a new round after reloading.
Can I automatically restore my balance if it gets low?
No, the restoration is manual. You can only restore your balance to 1,000 coins when your idle balance falls below 10 coins. You must actively click the restore button; it does not happen automatically.
