Virtual Coins & Cash Value
The demo uses virtual coins for gameplay. These coins have no real-world cash value and cannot be exchanged for money. There is no cash withdrawal, deposit, or payment gateway in the demo. The balance you see is purely for demonstration purposes within this guide’s browser environment.
Wallet & Balance Restoration
The initial balance is set to exactly 1000 virtual coins. This balance is stored in the browser’s local storage. If the balance drops below 10 coins while idle, you can manually restore it. This restoration action sets the balance back to exactly 1000 coins. Refilling coins does not clear the fractional carry. The fractional carry persists in local storage across settlements, refills, and page reloads.
Unfinished Round Reload Policy
If you reload the page or navigate away during an active round, the round ends immediately without a refund. The captured stake remains deducted from your balance. There is no continuation or resume of the unfinished round. Upon reload, the default stake of 20 and the first preset settings are restored for a new round.
Game Mechanics: Bounded Diophantine Solutions
The game consists of twelve independent fair binary steps that reveal three four-bit blocks. Each block is decoded as a value from 0 to 15, and 1 is added to obtain integers a, b, and c (each 1–16). The raw terminal statistic is the number of integer pairs x, y between 1 and 16 satisfying a*x + b*y = 16*c. The score is calculated by subtracting the global minimum from this statistic. Rewards are determined by selecting a linear, squared, or cubed weight. The live gross quote is 0.97 times the conditional expected terminal weight divided by the initial expected terminal weight.
Controls, Staking & Auto-Collection
Stakes are selectable at 10, 20, 50, or 100 play coins, with 20 as the default. Settings, restoration, and starting a new round are locked while a round is active. You may choose linear, squared, or cubed reward weight before capturing the stake. Automatic collection can be set to off, 1.25, 1.75, or 2.50. An earlier crossed auto threshold settles before a later zero event; a quote of zero takes precedence over cashout at the same event. The final step 12 collects the surviving current quote if not previously settled.
Payout & Settlement
One captured stake is settled per round. At settlement, the floor of the raw gross return plus stored fractional carry is credited to the balance; the remainder persists. Zero-return rounds leave the fractional carry unchanged. Simulation measurements show expected RTP of 97% across modes, with measured RTP varying slightly by policy (e.g., first-cross1.25 measured 96.96% for curve 0). These are supporting observations, not guaranteed session results.
Frequently asked questions
Can I withdraw my virtual coins?
No. The virtual coins in this demo have no cash value and are not connected to a payment system. They exist only within this guide’s browser environment.
What happens if I refresh the page during a game?
The round ends immediately without a refund. The captured stake remains deducted. Your fractional carry is preserved, but the unfinished round does not resume. Default settings (stake 20) are restored upon reload.
How do I restore my balance?
If your balance drops below 10 coins while idle, you can manually restore it. This action sets your balance to exactly 1000 virtual coins.
