The demo runs in your browser with a virtual wallet. No outside operator, licence, or payment gateway is established by this query. The rules, probabilities, and payout structure are defined entirely by the implemented rules described below.
Core Scoring Mechanics
The game reveals three four-bit blocks over the course of twelve steps. Each block is decoded as an integer from 0 to 15. To ensure valid inputs for the scoring function, 1 is added to each decoded block, resulting in three integers (a, b, c) ranging from 1 to 16.
The raw terminal statistic is calculated by summing the minimum exponent of each prime number across the three integers a, b, and c. For example, if a number is divisible by 2^3, its exponent for prime 2 is 3. The global minimum (0) is subtracted from this sum.
| Component | Description |
|---|---|
| Input | Three four-bit blocks decoded to 0-15, then incremented to 1-16. |
| Score Function | Sum of min(exponent in a, exponent in b, exponent in c) for all primes, minus global minimum. |
| Output | Integer score used to determine reward weight (linear, squared, or cubed). |
Quote Calculation and Modes
The live gross quote is derived from the conditional expected terminal weight divided by the initial expected terminal weight, multiplied by 0.97. This quote can rise, fall, or become zero during the twelve steps.
Players select one of three reward weight curves before starting: linear, squared, or cubed. These curves determine how the final score is translated into a payout multiplier.
- Linear (Curve 0): Payout scales directly with the score.
- Squared (Curve 1): Payout scales with the square of the score.
- Cubed (Curve 2): Payout scales with the cube of the score.
The expected RTP for all modes is 97%, though measured results may vary slightly due to simulation sampling.
Stakes, Controls, and Auto-Collection
Players can 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.
Auto-collection can be set to off, 1.25, 1.75, or 2.50. If the live quote crosses the preset threshold, the round settles automatically. An earlier crossing settles before a later zero event. Zero resolves first at the same step as collection; a threshold crossed at an earlier step has already settled the round.
Manual collection is available at any time to capture the current quote. The final step (step 12) collects the surviving current quote if no earlier settlement occurred.
Settlement and Wallet Persistence
At settlement, the floor of (raw gross return + stored fractional carry) is credited to the balance. The remainder of the fractional carry persists. Zero-return rounds leave the fractional carry unchanged.
The wallet balance is stored in browser localStorage. A manual idle-only restoration sets the balance to exactly 1000 if it falls below 10 while idle. Refilling does not clear the fractional carry.
If the page is reloaded during an unfinished round, the captured stake remains deducted, and the round ends without refund, payout, or continuation. Controls default back to stake 20 and auto off after reload.
Multiply the captured stake by the settlement quote for the raw gross return, including the stake. Credited whole coins are floor(raw gross return + stored fractional carry); the remaining fraction persists.
Mathematical Evidence and RTP
The following table presents simulation measurements for the three reward curves under different settlement policies. These are supporting observations, not promised session results.
| Curve | Policy | Expected RTP | Measured RTP |
|---|---|---|---|
| 0 (Linear) | Manual Step 6 | 97% | 96.88% |
| 0 (Linear) | Terminal 12 | 97% | 97.22% |
| 0 (Linear) | First-Cross 1.25 | 97% | 96.89% |
| 0 (Linear) | First-Cross 1.75 | 97% | 97.19% |
| 0 (Linear) | First-Cross 2.50 | 97% | 96.84% |
| 1 (Squared) | Manual Step 6 | 97% | 96.93% |
| 1 (Squared) | Terminal 12 | 97% | 97.27% |
| 1 (Squared) | First-Cross 1.25 | 97% | 96.88% |
| 1 (Squared) | First-Cross 1.75 | 97% | 96.97% |
| 1 (Squared) | First-Cross 2.50 | 97% | 97.09% |
| 2 (Cubed) | Manual Step 6 | 97% | 97.13% |
| 2 (Cubed) | Terminal 12 | 97% | 97.98% |
| 2 (Cubed) | First-Cross 1.25 | 97% | 97.02% |
| 2 (Cubed) | First-Cross 1.75 | 97% | 96.98% |
| 2 (Cubed) | First-Cross 2.50 | 97% | 97.27% |
Worked Example: Mask 0
With the linear curve, twelve zero bits would give completed values 1, 1 and 1 and terminal score zero. Every prime has exponent zero in 1. The initial quote is 0.97 and the step-1 quote approximately 0.9207.
At step 4, the first block is complete with a=1. All remaining completions have zero reward, so the quote reaches zero and an uncollected round ends there. Theoretical later quotes are also zero. Fractional carry is unchanged on this zero return.
Frequently asked questions
How is the final payout calculated?
Raw gross return is the captured stake multiplied by the quote at settlement, including the stake. That quote depends on conditional expected reward weight and its initial expectation. Stored fractional carry is added before rounding down to credited whole coins; the remainder persists.
What happens if I reload the page during a round?
If you reload during an unfinished round, the captured stake remains deducted. The round ends without refund, payout, or continuation. Controls default back to stake 20 and auto off.
Does the demo require an account or login?
No. The demo has no account or login flow. Virtual coins are stored in browser localStorage. The balance can be restored to 1000 manually if it falls below 10 while idle.
