Game Overview: Bounded Diophantine Solutions
The 42c demo features a game called bounded diophantine solutions Claim. It operates on twelve independent fair binary steps that reveal three four-bit blocks. Each block is decoded as a number between 0 and 15, then incremented by 1 to yield values a, b, and c, each ranging from 1 to 16. The core mechanic calculates a terminal statistic based on the number of integer pairs x and y between 1 and 16 that satisfy the equation a*x + b*y = 16*c.
The game uses a live gross quote calculated as 0.97 times the conditional expected terminal weight divided by the initial expected terminal weight. Players can choose between linear, squared, or cubed reward weights. Settlement occurs either manually or automatically when a preset threshold is crossed. The final step 12 collects the surviving current quote.
Controls, Modes, and Settlement
Players select stakes of 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. The automatic collection threshold can be set to off, 1.25, 1.75, or 2.50. If an earlier auto threshold is crossed, it settles before a later zero event. A zero quote takes precedence over cashout at the same event.
Settlement credits the floor of the raw gross return plus stored fractional carry. The remainder persists in the browser. Unfinished rounds lose the captured stake upon reload. The game does not resume progress automatically; a manual restore is required to reset the balance.
Wallet Behavior and Local Storage
The virtual wallet persists in the browser's localStorage. The initial balance is 1000 coins. A manual restoration is available when the balance falls below 10 coins, setting the balance to 1000. This restoration is not automatic and does not add the reset amount to an existing balance; it replaces it. Fractional payout carry persists across settlement, refill, and reload.
If the page is reloaded during an unfinished round, the captured stake remains deducted. The round ends without refund, payout, or continuation. Controls reset to the default stake of 20 and the first preset. The wallet does not track account flow or payment flow, confirming the virtual nature of the coins.
Mathematical Evidence and RTP
The expected return to player (RTP) is 97 percent across all modes. Measured simulation percentages from one million rounds align closely with this expectation. For example, manual step 6 in curve 0 measured 96.989 percent, while first-cross 2.50 in curve 2 measured 97.246 percent. These are sample observations, not guarantees of future returns.
The game caps and resets are mechanical rules, not guarantees of safe behavior. The mathematical expectation remains consistent regardless of the strategy used, though the variance and distribution of outcomes differ by curve and threshold.
Identity and Site Facts
The identity of 42c is unverified based on this guide. No official address, operator affiliation, license, or app package has been confirmed. The demo account flow is none, and the payment flow is none. Virtual coins have no cash value. The page template loads Google Fonts stylesheets and font files, which is the only observed third-party request. No server logging or tracking is explicitly confirmed beyond standard browser storage.
Audience and Responsible Use
This guide and its virtual-coin demo have an 18+ intended audience. This is a policy for this guide, not a universal legal age gate. Responsible use involves voluntary breaks and self-monitored time or virtual-coin limits. There is no enforced timer or self-exclusion mechanism built into the demo. Game caps and resets are mechanics, not guarantees of safe behavior. Players should monitor their own usage.
Frequently asked questions
Is 42c a verified operator?
No. The identity of 42c remains unverified unless individually reviewed primary-source facts support it. No official license, address, or app package has been confirmed.
How does the fractional carry work?
Fractional payout carry persists in the browser's localStorage across settlement, refill, and reload. It is not cleared by a refill and remains with the wallet even if the round is lost or the page is reloaded.
What happens if I reload the page mid-round?
The captured stake remains deducted. The unfinished round ends without refund, payout, continuation, or resume. You must manually restore the balance if eligible.