25s — Majority Transient

Majority Transient uses a complete word of twelve independent fair bits. Its raw score is calculated by repeatedly updating all twelve circular positions simultaneously to the majority of each position and its two neighbours, stopping when a complete state repeats. The score is the number of distinct visited states minus one. This scoring calculation is separate from the visible sequence that reveals the original word one bit at a time.

For the chosen power p (1, 2 or 3), the live gross quote equals 0.96 × captured stake × E[S^p given the revealed prefix] / E[S^p], where S is the terminal raw score. The exact means are 1.4013671875, 2.6787109375 and 6.4287109375. All remaining words are averaged exactly. Manual banking is available while active; the selected cap of 4, 8 or 12 reveals banks automatically, and zero conditional potential ends the round earlier. The expected gross return before integer settlement is 96%, not a guaranteed session return.

You control the round using several key mechanisms. The captured stake, selected power, and reveal cap are locked once the round starts. You can bank manually at any time to lock in the current conditional quote. Alternatively, you can choose an automatic reveal cap of 4, 8, or 12 bits. When the selected number of bits is revealed, the system automatically banks the current quote.

If the conditional potential drops to zero, the round settles immediately with a zero gross return, even if the auto-cap hasn't been reached. Each semantic reveal follows a 650ms delay. Sound remains available throughout the process, but stake, mode, and refill controls are locked while active.

Twelve fair independent bits define 4096 equally likely complete words. Select score, squared score or cubed score, each priced by its own exact unconditional mean. At each prefix the quote averages all remaining possible words, so it can rise or fall. Any bounded stopping rule has 96% expected gross return before integer rounding; fractional carry is saved. Auto-bank caps are 4,8 or 12 revealed phases. Stake, power and cap are locked during a trace. Idle manual refill below 10 sets 1000 and preserves carry. Reloading an unfinished trace loses its captured debit.

The wallet starts with 1,000 virtual coins. While no round is active and the balance is below 10, the restore button sets it to exactly 1,000; restoration is manual. Settled balance, including zero, and fractional carry persist in browser localStorage. Reloading an unfinished round loses the captured stake and does not resume or refund the round.

The complete all-zero word has raw score 0. When a revealed prefix leaves no possible positive terminal score, the round settles automatically with zero gross return. This can occur before all twelve bits are shown. The complete word [0,0,0,1,0,1,0,1,0,1,0,1] has raw score 5. Before full revelation, the quote averages every complete word compatible with the revealed prefix, rather than using the hidden final score.

The guide addresses an adult audience as a policy. Its demo uses virtual coins with no cash value and has no account sign-in or external payment flow.