RTM1 Queries and Our Original Cycle Surplus Demo

This independent guide has not established an operator, official business address, licence or application associated with the RTM1 query. A matching name or logo is a lead rather than evidence of ownership. The guide provides its own original simulator, Cycle Surplus, and no account or payment facility. Its rules do not reproduce or certify an external game.

Each round samples ten independent fair binary choices, one for every possible undirected edge between five labelled vertices. Every one of the 1024 edge patterns has equal probability. Count present edges E and connected components C, including isolated vertices. The raw reward is E minus 5 plus C. A forest has reward zero, while the complete five-vertex graph has reward six. Random selection determines the graph; the component calculation then scores that selected graph.

Choose linear, squared or cubed weighting before a round. For power p, the gross credit is the captured whole stake times 0.96 times raw reward raised to p, divided by its exact mean across all 1024 graphs. Those means are 1.365234375, 3.30859375 and 9.685546875 respectively. All three modes have exact unrounded expected gross credit of 96% of stake. There are 291 zero-reward and 733 positive-reward graphs. Changing the power changes positive credit sizes, while leaving those outcome frequencies unchanged. Expectation is not a promise about a session or a commercial game.

The wallet begins with 1000 free virtual coins. One captured stake prices the whole graph; there are no row stake shares. Settled wallet balance and fractional-credit carry persist in browser localStorage. When idle with fewer than ten coins, manual refill sets the balance to 1000 and preserves carry. It does not add 1000. Refill and settings are locked during settlement and an active automatic queue. Reloading does not reset a settled wallet. An unfinished round ends on reload without a refund; keep active play open until settlement.

Settled balance and fractional carry use localStorage in the browser profile. Clearing ordinary cache or history may leave this storage intact; site-data controls determine what is removed. Google Fonts and Statinside requests, as well as server or CDN logs, may expose IP, device and request information. Complete third-party processing, retention and anonymity have not been established. The absence of a login or document form cannot support a promise that no personal information is processed.

The guide restricts its simulator to adults aged 18 and over by its own rule. Local legal age and activity requirements vary, and no legal determination is provided. Choose a stopping time and take breaks. A virtual wallet has no cash value and creates no reason to continue. If play feels uncomfortable or conflicts with ordinary responsibilities, stop. Qualified local support can be sought through independently identifiable health or public-service sources; this guide supplies no diagnosis or verified named treatment service.