TG7776.cc Game Rules: Stack Matching and Virtual Quotes

Scope of this independent guide

Tg7776.cc is an independent query-information guide with its own bracket-matching browser simulator. A matching domain or search snippet does not establish a gaming operator, commercial affiliation, licence, app, external account, catalogue or support contact. No external business identity is authenticated here.

The simulator has original rules, a virtual wallet and its own finite probability model. It does not reproduce a commercial game or evaluate an external platform, download or transaction. There are no deposits, withdrawals, cash prizes or operator accounts on this guide.

Twelve hidden fair symbols and stack matching

A round samples twelve independent fair binary symbols and keeps them hidden, revealing them in order. Zero represents an opening bracket and one a closing bracket. Read left to right with a stack of unmatched opens. An open adds one to depth. A close pairs with one preceding unmatched open only when depth is positive, then reduces depth and adds one matched pair.

An unmatched close does nothing. Any opens left at the end give no extra pair. Terminal reward is the square of the matched-pair count. Each symbol can belong to at most one pair, and a close cannot match an open that appears later. Quote calculation uses only the revealed prefix, not the hidden future.

Exact terminal examples and maximum quote

Alternating zero and one six times forms six matched pairs, so terminal reward is36. Twelve zeros leave only unmatched opens and give reward zero. Twelve ones are all unmatched closes and also give zero. A balanced nested sequence can also form six pairs; matching does not require adjacent symbols.

Exhaustive enumeration of all4,096 equally likely twelve-symbol sequences gives initial mean reward14.84228515625. Six pairs is the maximum, so every conditional mean reward is at most36. Consequently every quote is at most0.97 times36 divided by14.84228515625, below three. Auto targets three and five cannot trigger; the round still resolves at its final or zero-value settlement.

Conditional value and exact collection

At each revealed prefix the multiplier is0.97 times the exact conditional expected terminal reward divided by14.84228515625. It may rise or fall. Manual collection credits captured stake times the current multiplier, including the opening multiplier0.97. This is the gross credit after the stake was deducted, not net profit; do not multiply by0.97 a second time.

Choose an auto target before starting:1.2,1.5,2,3 or5. At the first upward crossing of the target, automatic collection credits the full actual crossing quote, not the target and not a later value. A zero conditional expectation ends the round immediately with zero return. If neither collection nor zero settlement occurs earlier, the twelfth reveal settles at its terminal quote.

Exact expected gross virtual return is97% for every permitted stopping policy based on revealed information. Conditional expectation is a finite fair process before the0.97 scale, so optional collection changes the result distribution without changing that expectation. This does not guarantee a session balance, positive result or97% winning probability. No quote-time randomness, hidden reroll, signal or future preview changes the model.

Captured rounds and the persisted wallet

A new browser wallet starts with1,000 free virtual coins. Settled balance and fractional-credit carry persist in localStorage; reload does not replenish settled funds. Fractional payouts accumulate before whole coins are credited. For example, collecting a20-coin stake immediately at0.97 gives19.4 gross coins before carry is handled, rather than a20-coin refund.

A round captures the selected stake and auto target. Settings and refill are guarded during the active round. Optional free refill is available only outside a round with balance below ten. It sets balance to1,000 rather than adding1,000 and preserves fractional carry. Coins cannot be bought, transferred, redeemed or withdrawn.