Game Overview and Mechanics
The Divisor Remainder Ledger Reels operates using two independent reels, each displaying hexadecimal symbols from 0 to F. These symbols correspond to integer values from 0 to 15. The game combines these values into a single integer n using the formula n = 16 * first_reel_value + second_reel_value + 1. This results in an integer uniformly distributed between 1 and 256.
Each round captures a single stake from the player's wallet. There are no row bets, bonus features, or interim collections. The entire process is self-contained within one round, from stake selection to final settlement.
Scoring and Reward Calculation
The core scoring mechanism involves calculating the sum of remainders when the integer n is divided by each integer d from 1 up to the floor of the square root of n. This sum is then adjusted by subtracting the exact minimum statistic observed across all 256 possible outcomes. In this specific implementation, the exact subtracted minimum is 0, meaning the reward score is equal to the raw sum of remainders.
Before starting a round, players choose a weight mode: linear, squared, or cubed. This weight is applied to the reward score. The gross multiplier is calculated as 0.96 times the chosen weight, divided by the exact mean of that weight across all 256 outcomes. This ensures a consistent expected return structure regardless of the weight mode selected.
Controls and Modes
Players can select stakes of 10, 20, 50, or 100 play coins, with 20 being the default setting. The weight mode (linear, squared, or cubed) must be chosen before the stake is captured for the round. Once a round begins, the settings, restoration, and starting options are locked until the round settles.
There is no intermediate collection mechanism. The game proceeds from stake capture to final settlement without pausing for additional inputs. The interface ensures that controls remain unavailable during active rounds to maintain the integrity of the single-stake capture.
Payout and Settlement Behavior
Settlement occurs at the end of each round. The gross return is calculated, and the floor of the sum of the gross return and any stored fractional carry is credited to the player's balance. Any remaining fractional part persists in the browser's local storage for future rounds. If a round yields zero return, the fractional carry remains unchanged.
Unlike many casino games, there is no automatic restoration of funds. The balance is not refilled automatically when it drops below a certain threshold. Players must manually trigger a restoration to reset their balance to 1000 coins, which is only possible when the interface is in an idle state.
Wallet and Local Storage Details
The demo uses a local wallet system stored in the browser's localStorage. The initial balance is set to 1000 coins. If the balance falls below 10 coins, the restoration feature becomes eligible, allowing the user to manually reset the balance to 1000 coins. This restoration does not add the reset amount to the current balance but replaces it entirely.
Fractional carry from previous rounds is preserved in localStorage across settlements, refills, and page reloads. However, if a round is left unfinished due to a reload, the captured stake remains deducted, and no refund, payout, or continuation is provided. Upon reloading, the default stake of 20 and the first preset mode are restored, but any unfinished progress is lost.
The page includes Google Fonts and the Statinside visitor counter, identifier 44, with a script and a fallback pixel without JavaScript. These requests can transmit technical connection and page information. Their complete retention, tracking and sharing practices are not established here.
Mathematical Evidence and Site Facts
Mathematical simulations of one million rounds confirm an expected return to player (RTP) of 96% across all weight modes. Measured RTPs hover around this value, with slight variations due to statistical sampling. The exact gross RTP is 24/25, or 96%, for each mode.
Observed site facts indicate that the demo has no account flow or payment processing. Virtual coins have no cash value. The game stores the virtual-coin balance and fractional payout carry in the browser's localStorage. Additionally, the page template loads Google Fonts stylesheets and font files, which is a standard third-party request for design purposes.
Frequently asked questions
What is the Divisor Remainder Ledger Reels?
It is an original browser-based demo game where two hex reels generate an integer from 1 to 256. The reward is based on the sum of remainders of this integer divided by numbers up to its square root, adjusted by a weight mode (linear, squared, or cubed).
How does the wallet restoration work?
Restoration is a manual process available only when idle. If the balance drops below 10 coins, you can click to reset your balance to exactly 1000 coins. It does not add to your current balance but replaces it. Fractional carry from previous rounds is preserved during this reset.
What happens if I reload the page during a round?
If you reload while a round is active, the captured stake remains deducted. The unfinished round ends without any refund, payout, or continuation. Upon reloading, your default stake and mode settings are restored, but any progress in the active round is lost.
