P6X Queries and Our Original Graph Diameter Demo

This independent guide has not established an operator, official business address, licence, application, support channel or financial service associated with P6X. A search name or matching logo is a lead rather than evidence of ownership. The guide provides its own original browser simulator, Whole Network Diameter, with free virtual coins and no account. Its rules and probability model do not reproduce or certify a separate product.

Each round samples ten independent fair binary choices, one for each possible undirected edge between five labelled vertices. Every one of the 1024 edge patterns has equal probability. If the whole graph is disconnected, its raw reward is zero. Otherwise, find the shortest-path edge distance for every pair of vertices and take the largest of those distances. That value is the connected graph’s diameter. The graph is sampled once; scoring and animation do not redraw its edges.

Choose linear, squared or cubed weighting before the round. Gross credit equals the captured whole stake times 0.96 times raw reward raised to the selected power, divided by that power’s exact mean over all 1024 graphs. Those means are 1.8310546875, 5.0087890625 and 14.5283203125. The counts for rewards zero through four are 296, one, 367, 300 and sixty. Each mode has exact unrounded expected gross credit of 96% of stake. Raising a score to a power is not multiplying it by two or three. There are 728 positive-reward patterns in every mode; changing the power changes credit sizes rather than that frequency. Expectation does not guarantee a session outcome.

The wallet begins with 1000 free coins. One whole captured stake prices the graph; there are no row stake shares. Settled balance and fractional-credit carry persist in browser localStorage. While idle with fewer than ten coins, manual refill sets the balance to 1000 and preserves carry. It does not add 1000 and is locked during settlement and an active automatic queue. Reloading does not reset saved settled values. An unfinished round is not resumed: an already debited stake is not automatically refunded and pending credit can be lost. Keep active play open until settlement.

The guide has no customer sign-in, payment or identity-document form. That does not establish anonymous technical requests. Google Fonts and Statinside requests, and server or CDN logs, may expose IP, device and request information. Complete third-party processing, retention, cookie lifetimes and anonymity have not been established. LocalStorage is distinct from ordinary cache and history; check what a browser removal action actually covers. This page gives no thirty-day log-retention promise or assurance that all requests avoid profiling.