Lyndon Fold Questions

Each draw creates eight independent binary symbols, with zero and one equally likely at every position. Apply the standard nonincreasing Lyndon factorization: factors are in lexicographic order that never increases. A Lyndon factor is smaller in that order than each of its nontrivial cyclic rotations. The raw score is the sum of squared factor lengths minus eight. One whole stake covers the complete word.

The words 00000000 and 11111111 each split into eight one-symbol factors. Their squared lengths sum to eight, so the raw score is zero. The word 01010101 splits into four factors 01. Its score is 2² + 2² + 2² + 2² − 8 = 8. Each factor contributes to the word’s score; it does not receive a separate stake or payout.

Choose Score, Score squared or Score cubed before drawing. For raw score s, the weights are s, s² and s³. Their exact average weights over all 256 equally likely words are 25.1796875, 899.078125 and 38055.03125 respectively. Gross multiplier = 0.96 × chosen weight ÷ its corresponding average. Multiply the full multiplier by the captured stake to obtain the raw gross return.

Each mode has a mathematical expected gross return of 96% over all equally likely words. This is the average unrounded return as a share of stakes, not a 96% chance of winning or a promised session result. A higher power changes the distribution of returns and has its own normalization. It does not change the raw score or which words return zero.

Available stakes are 10, 20, 50, 100 and 200 free virtual coins. A new load selects 20 and Score mode, with Auto inactive. Starting a draw captures the chosen stake and mode and deducts that stake once. The balance must cover the selected stake. The entire stake applies to one word, rather than being divided among its factors.

Auto ×10 starts at most ten draws, including the first. Each generates a new independent word and deducts its own whole stake when it starts. The series may end earlier if the balance cannot cover the next stake or you stop future draws. Auto does not restore a low balance, and the series is not a single bet.

Stop future draws cancels the remaining queued draws. An already active draw keeps its captured stake and mode and settles normally. Stopping during the gap before the next draw prevents that draw from starting. There is no early collection, banking of part of a word or refund of the current stake through Stop.

Stake, mode, Draw word and Restore demo balance stay locked during a draw and throughout an Auto queue, including gaps between draws. Sound remains available. After cancelling future draws, an active draw still keeps settings locked until it finishes. Once fully idle, you can choose settings for another draw.

An ordinary draw settles after roughly 480 milliseconds of its animation. With reduced motion, it settles on the first animation callback instead. Queued draws have a scheduled 180-millisecond gap after settlement. Browser scheduling can affect visible timing; these presentation choices do not change the captured word, score or return formula.

A new local wallet starts with 1,000 free virtual coins. At settlement, the full raw gross return is added to the saved fraction. The whole-coin part is credited to the balance and the new remainder is saved for later draws. A zero return leaves an existing fraction intact. A small positive return may credit no whole coins while increasing that fraction.

Restore demo balance is available only while the draw and queue are idle and the whole-coin balance is below 10. It sets that balance to exactly 1,000, rather than adding 1,000. The fraction and currently selected stake and mode remain unchanged. At exactly 10 coins, restoration is unavailable. Restoration is manual, not automatic.

The balance and fraction persist in this browser’s localStorage, including a saved zero balance. A stake deduction is saved when the draw starts. Reloading an unfinished draw keeps that deduction and gives no refund, payout or resumed draw. The queue is not resumed. A new load returns to stake 20 and Score mode with Auto inactive.

This demo has no account registration, username, password or login flow. Open the game, choose a stake and mode, then press Draw word; loading the page does not automatically begin a draw. The local wallet is not a signed-in account. This guide does not verify an outside login address or provide password recovery.

The game stores its wallet balance and fractional remainder in localStorage. The site declares Google Fonts and uses a Statinside visitor counter. These records and external resources do not establish anonymity, exclusive local processing or the absence of personal-data processing. They do not establish provider retention periods or every aspect of data handling.

222bt.info is an independent guide with its own Lyndon Fold demo. Its name and game do not establish an outside operator’s identity, ownership, licence, reputation or official address. A similar name, logo or search result does not verify official affiliation. The scoring rules describe this demo rather than certifying an external service.

This guide is intended for adults aged 18 and over. That is an audience policy, not an implemented age check or a statement of legal rules everywhere. The Auto cap and wallet restoration are game features, not enforced personal time limits. The demo does not provide account blocking or an exclusion service.