Scoring and Payout Structure
The core mechanic of Return Arc Cover involves a graph where vertices are consecutive-return arcs and edges represent strict endpoint interlacing. The score is determined by the minimum vertex cover of this graph. Twelve independent fair left/right bounces define thirteen signed positions, including the origin. This structure supports three distinct power modes:
- Power 1
- Power 2
- Power 3
Each power mode uses its exact complete-path mean to determine the payout. The expected gross return across all modes is 96%. Note that displayed multipliers represent gross coin returns, not profit. Actual payout math and every mode are recorded in the source-bound mathematical evidence.
Modes, Stakes, and Controls
Return Arc Cover operates with one active ball per draw. Players can select from four stake levels: 10, 20, 50, or 100 virtual coins. The game features specific controls and modes:
- Stakes: Captured virtual stakes of 10, 20, 50, or 100.
- Auto/Stop: There is no Auto mode, no Stop feature, and no cash-out option.
- Settlement: One captured whole stake is settled per complete draw.
During active play, the stake, mode, and refill buttons are locked, though sound remains available. This demo has no cricket-shot or Mines controls.
Wallet Mechanics and Persistence
The demo wallet operates with an initial balance of 1000 virtual coins. Key wallet behaviors include:
- Manual Restoration: If the idle balance drops below 10, it can be manually restored to exactly 1000. This is a manual set, not an automatic replenishment.
- Fractional Carry: Fractional payout carry persists through settlement, manual refill, and reload. This is preserved exactly as per the contract.
- Reload Behavior: Reloading the page does not refund an unfinished ball. An unfinished round ends without refund or resume capability.
- Settled Balance: The local settled balance, including zero, persists in the demo.
Virtual coins in this demo do not have cash value. There is no account login flow or payment flow in the demo.
Mathematical Evidence
The following table presents the mathematical evidence for Return Arc Cover, comparing expected percentages with measured simulation results. Simulation measurements are supporting sample observations and not the mathematical payout law.
| Power | Expected RTP | Measured Return | Carry |
|---|---|---|---|
| 1 | 96% | 96.01775% | 0.210579 |
| 2 | 96% | 95.954455% | 0.678351 |
| 3 | 96% | 95.893825% | 0.796364 |
Note: Expected RTP is not a promised session result. The carry values are specific to each power mode as recorded in the source-bound evidence.
Privacy and Storage
This guide observes the following technical details regarding data handling in the demo:
- Storage: The game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing by third parties.
- Third-Party Requests: The template declares a Google Fonts stylesheet, though actual full-site network capture remains pending.
- Data Processing: The absence of account or payment controls in the demo does not prove that no personal data are processed.
The shared page builder also declares a Statinside counter script and a noscript pixel with identifier44. These declarations do not establish a complete network inventory or any guarantee about tracking, retention or other processing.
Responsible Use and Audience
This guide is intended for an 18+ audience, which is a policy of this guide and not necessarily a universal legal age or an implemented age gate in the demo. Responsible use includes:
- Optional pauses.
- Setting personal time or virtual-coin limits.
- Finding appropriate local qualified help if needed.
The demo does not clinically train behavior or make losses safe. There are no account-level blocking, timer, or self-exclusion tools in the interface.
Frequently asked questions
How is the score calculated in Return Arc Cover?
The score is the minimum vertex cover of a graph whose vertices are consecutive-return arcs and whose edges represent strict endpoint interlacing. This is determined by twelve independent fair left/right bounces defining thirteen signed positions including the origin.
Can I restore my balance if it runs out?
Yes, but only manually. If your idle balance is below 10, you can restore it to exactly 1000. This is a manual set and does not automatically replenish coins. Fractional payout carry persists through this refill.
What happens if I reload the page during a game?
An unfinished round ends without refund or resume. The balance settles locally, but any incomplete draw is lost.
