Knight layouts, cell probabilities and balance

Choose 3, 4 or 5 hazards on a 4×4 board. The hazard cells must form one connected graph through chess-knight moves: two rows and one column, or one row and two columns. Shared sides and diagonal touches do not define these connections. Hazards may be reached through intermediate hazard cells rather than a single jump. Every legal layout is equally likely. There are exactly 52 layouts for three hazards, 116 for four and 284 for five. The entire hidden layout is sampled at the start and never moved after a choice. One captured stake covers the whole round.

After the opened safe cells are known, let N be the number of legal layouts consistent with that history. For an unopened cell let K be the number of those layouts where it is safe. Its safe probability is K/N. Each eligible cell shows that probability; it is not a generic remaining-safe-cells ratio. The quote starts at 0.97. A safe reveal changes quote q to q×N/K, using the probability of that very chosen cell before revealing it. A hazard ends the round with zero return. Collect returns captured stake times quote, with fractional carry. The identity (K/N)×(q×N/K)=q explains 97% expected gross return for choices using revealed information. This is not a win probability or a guaranteed session return.

If K=0 the cell is a known hazard and cannot be chosen. If K=N it is proven safe, so choosing it does not change the quote. A next quote above 1,000× is disabled. If no eligible uncertain choice remains, the round settles automatically; otherwise collection is available after one safe reveal. The layout constraint can make different cells have different probabilities. After a safe reveal, a particular cell’s chance may rise or fall; risk does not necessarily increase uniformly across the board. Choices change which results are reached, without changing the stated expected gross return.

The initial balance is 1,000 free virtual coins without monetary value or prize entitlement. The settled balance and fractional payout carry are kept in local browser storage when available. A fraction is carried into later settlements rather than discarded on each payout. Restore balance is available only while idle and below the minimum stake of 10. It sets the balance to 1,000, rather than adding 1,000, and preserves the fraction. It is a manual button, not an automatic reset or a refund for an interrupted round.

While idle, choose hazard count and 10, 20, 50 or 100 virtual coins. Start network captures those settings and deducts one stake. Hazard count, stake and refill controls stay locked during the round. Collection is unavailable before the first safe reveal. There is no Auto queue, timed crash or cashout threshold setting. Each click reveals one eligible cell immediately. Sound is optional. The game does not animate a moving hazard or require a reflex action; the hidden layout remains fixed.

This game runs directly in the browser. The guide supplies no verified QX999 APK, package identifier, publisher signature, release number or store link. APK search wording is not proof of an application’s existence or identity. No unknown-source permission, protection bypass, installation or device access is needed for this demo. A matching icon or version number does not establish a file’s safety. This game’s probabilities cannot validate external software.

The game does not require a customer account, identity document or bank information. Local storage explains the balance and fractional carry, but does not imply that every request made while loading the page stays on the device. Font, analytics, hosting and CDN requests may transmit technical information such as IP address and request details. This guide promises no complete anonymity, precise retention period, absence of profiling or third-party data-sale policy. Those questions require the providers’ own information.

The active hidden layout and opened cells are not saved for recovery. Reloading or leaving does not resume the round or refund its already deducted stake. The settled balance and fractional payout carry can persist in this browser. Deleting local website data can remove those values. Clearing cached files alone is different from deleting local storage. The virtual balance is not a customer account synchronized between devices.

QX999 is a search name here without a confirmed commercial identity. This guide hosts its own Knight Network game. It confirms no outside operator, affiliation, official domain, licence, payment service or app. Similar naming does not establish a shared publisher. The following rules concern this original demo alone. Its calculations do not establish the mathematics, security, legality or catalogue of another product. There are no monetary deposits or customer accounts in the demo.

Participation is optional and offers no monetary prize. You may choose not to begin another round. Past outcomes do not make a fresh layout more favourable. A personal time limit does not change the layout distribution or conditional quote calculation. This guide provides no clinical self-test, universal legal-age claim, confirmed external self-exclusion feature or promised transferable gambling skill. If play disrupts daily life, qualified local support may help. A free demo does not establish another product’s safety.