Game Mechanics and Rules
The game uses a 4×4 board with printed labels 1–16 in row-major order. Before a round begins, you must select 3, 4, or 5 hazards. The game uniformly samples only complete subsets satisfying the condition that the sum of gcd(label_i, label_j) over all unordered hazard pairs is a perfect square. All safe observations filter this finite support.
The initial quoted value is 97% of the captured stake. Each successful reveal of an uncertain safe cell divides the CURRENT gross value by its exact posterior safe probability. You can only collect after at least one safe reveal has occurred.
Individual choices are disabled if their gross return exceeds 1000 times the stake, while equality is allowed. The game automatically banks only when no eligible uncertain choice remains. Printed labels are not clues to a hidden independently uniform grid.
Mathematical Evidence and RTP
The only authoritative game rules and numbers are in the supplied source-bound owner contract. Simulation measurements are supporting sample observations, not the mathematical payout law or a promised return.
| Hazards | Policy | Expected RTP | Measured RTP | Support Count |
|---|---|---|---|---|
| 3 | low-1 | 97% | 97.0133% | 144 |
| 3 | high-2 | 97% | 97.0956% | 144 |
| 3 | first-4 | 97% | 96.9050% | 144 |
| 4 | low-1 | 97% | 96.9772% | 342 |
| 4 | high-2 | 97% | 97.1247% | 342 |
| 4 | first-4 | 97% | 96.8795% | 342 |
| 5 | low-1 | 97% | 97.0125% | 318 |
| 5 | high-2 | 97% | 97.1654% | 318 |
| 5 | first-4 | 97% | 97.0981% | 318 |
Different modes can have different distributions; expected RTP is not a promised session result.
Wallet, Persistence, and Controls
The demo wallet facts come only from the supplied contract. The initial balance is set to 1000. Restoration is manual and idle-only, setting the balance to exactly 1000 when the balance is below 10 while idle. Fractional carry persists in browser localStorage across settlement, refill, and reload; refill does not clear it.
Settled balance persists locally, including zero. If you reload during an unfinished round, the captured stake remains deducted, and the round ends without refund, payout, continuation, or resume. Controls after reload reset to a default stake of 20, and the first preset is restored.
Stake, mode selectors, refill, and starting a second round are locked until settlement. Collection is allowed after at least one safe reveal.
Worked Example
Consider a round with 3 hazards. The support count is 144. If the printed label is 3, the posterior safe probability is approximately 0.8611. Starting with a stake of 20, the initial gross value is 19.4. After a safe reveal, the gross value becomes approximately 22.529.
Identity and Scope
The identity of the queried entity remains unknown unless a specific fact is explicitly accompanied by a reviewed primary source. This page does not establish an outside platform, cashier, deposit method, or verified app. The demo belongs to this independent guide and does not certify or reproduce any outside product.
Privacy is limited to explicitly supplied source-observable storage: virtual-coin balance and fractional payout carry are stored in browser localStorage. The page template loads Google Fonts stylesheets and font files. The absence of account or payment controls in the demo does not prove that no personal data are processed.
The deployed guide loads Google Fonts and the Statinside44 counter script and sends visit-counter requests. The absence of login does not establish that no personal data are processed.
Responsible Use
18+ is this guide's own intended audience where the contract states it; it is not a universal legal age, an implemented age gate, or a statement of local legality. Responsible-use pages can describe optional pauses, a personal time/virtual-coin limit, and finding appropriate local qualified help. The demo does not clinically train behaviour or make losses safe.
Frequently asked questions
How is the gross payout calculated in Pair Gcd Square Mines?
The initial quoted value is 97% of the captured stake. Each uncertain successful reveal divides the CURRENT gross value by its exact posterior safe probability. At settlement, the floor of (raw gross return + stored fractional carry) is credited, with the remainder persisting.
What happens to my balance if I reload the page during a round?
The captured stake remains deducted. The unfinished round ends without refund, payout, continuation, or resume. Default stake 20 and the first preset are restored upon reload.
Is the measured RTP guaranteed for my session?
No. Simulation measurements are supporting sample observations, not the mathematical payout law or a promised return. Expected RTP is not a promised session result.
