Windows, conditional quotes and free coins

A round draws eight independent symbols A, B or C, each with probability 1/3. Find the shortest contiguous window in the complete word containing all three symbols. If its length is L, the terminal reward is 9−L. Without such a window, the reward is zero. There are exactly three symbol types, not extra colours or symbols. An ABC window has length 3 and reward 6. AABCCCCB has shortest complete window ABC at positions 2–4 and also gives 6. AAAAAAAA never contains all three and gives 0. The game searches automatically: the player cannot alter the hidden word or pick a different scoring window.

Across all 6,561 equally likely complete words, reward counts are 0:765,1:6,2:24,3:72,4:198,5:666 and 6:4,830. The initial mean is 412/81, approximately 5.086419753. The quote is 0.97 times the exact conditional expected terminal reward divided by 412/81. It begins at 0.97. This quote can rise or fall and becomes zero when no positive terminal reward remains possible. Zero ends the round immediately. Under the exact fair-symbol model, collecting using only revealed information gives 97% expected gross return relative to the stake. This is not a win probability, an inevitable session outcome or a claim about outside games.

The largest terminal reward is 6, so no conditional quote exceeds 0.97× 6÷(412/81)=1.1442233009708738. Every displayed Auto threshold—1.2,1.5,2,3 or 5—is above that maximum. Selecting any of them therefore waits until terminal settlement or an immediate zero, unless the player manually collects first. The general first-crossing rule would pay the entire actual crossing quote rather than a capped threshold. It does not create a crossing that the reward law cannot reach. In this game there is no reachable displayed threshold, no guaranteed peak and no second 3% deduction.

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.

The window boxes compare only the revealed prefix. They show the shortest already complete window, if one exists, and its one-based positions. They do not expose future symbols. An absent observed window does not by itself mean that the conditional quote is zero. The payout quote averages all possible future completions, while the visible window describes an already observed feature. Confusing these two values would misstate both the round status and the terminal reward. Once an ABC-length window exists, no later completion can produce a shorter window than 3.

While idle, choose a stake of 10,20,50 or 100 virtual coins and Manual or an Auto threshold. Open window captures the settings and deducts one stake. The entire hidden word is sampled once, using uniform three-way sampling, and revealed one symbol per step. Stake and threshold stay locked during the round. Collect processes all steps due at the current click timestamp before paying the current quote. A zero ends first and cannot be reversed by a late click. Without an earlier collection, a positive quote settles at step 8. Sound is optional; the browser reduced-motion preference shortens animation.

The active hidden word is not stored for recovery. Reloading or leaving does not resume it or refund its already deducted stake. Only the settled balance and fractional carry can remain in local browser storage. A network interruption is different from reloading; the game already running in the browser does not depend on an external game server to reveal its sampled word. Deleting local website data can remove the balance and fraction. Clearing cached files alone is a different operation.

Cover Window runs in the browser. This guide supplies no TQTQ APK, release number, package identifier, publisher signature or verified app-store link. Search words about downloads do not confirm an app or publisher. No unknown-source permission, protection bypass, installation or uninstallation is needed. This game’s rules do not validate an outside file’s security.

The demo has no customer login, password recovery email, authentication code or confirmed outside support channel. Its virtual balance is local website data, not an external account. No password or recovery code is required to play. This guide does not invent a sign-in address or workflow for an unverified outside service.

TQTQ is used here as a search name without a confirmed commercial identity. This independent guide hosts its own Cover Window browser game. It confirms no operator, affiliation, official domain, licence, payment service or external app. A similar name does not prove a common publisher. The rules below concern this original demo. Its mathematical checks do not validate an outside catalogue, financial service or app. It does not reproduce a confirmed commercial TQTQ game or demonstrate that another service uses these probabilities.