Words and branching prefixes
Each draw forms an eight-symbol word using independent fair choices of 0 or 1. All 256 words are equally likely. One whole stake covers the entire word; there are no separate row stakes or reel payouts. The score comes from a prefix tree of the word’s eight nonempty suffixes. Each suffix has an end marker distinct from 0 and 1. A shared prefix counts as a branch if at least two different labels can follow it, including the end marker. Each such nonempty prefix earns its length squared, counted once. Add those weights for the raw score. The empty root earns nothing. The end marker matters when a suffix also begins a longer suffix.
Modes and positive scores
Choose Score, Score squared or Score cubed. Gross return equals 0.96 × captured stake × the selected power of raw score ÷ the mean of that same power over all 256 words. The separate means are 26.9140625 for score, 1,060.9765625 for score squared and 65,163.3359375 for score cubed. Changing the power does not change the word or its raw score. Gross includes the stake; subtract the stake to calculate raw net profit. Raw scores range from 10 to 140, and all 256 words score positively. A positive score and positive raw gross return do not guarantee a net gain or a whole-coin credit on an individual draw. Each mode has an exact expected unrounded gross return of 96% of the stake. This is not a 96% winning probability or a promised session result. Saved simulation measurements are samples, not the payout formula.
Controls and timing
Stakes are 10, 20, 50, 100 or 200 virtual coins. Defaults are stake 20 and Score mode. Draw word deducts one whole stake and captures the stake and mode for that draw. Stake, mode, refill and a second manual draw remain locked during the active draw and any auto queue. Sound remains available. There is no early bank or cashout choice. Normal animation is about 480 ms; reduced motion can settle earlier. Auto ×10 starts at most ten sequential draws, including the first one. Each new draw requires enough balance for its captured stake. Stop future draws cancels the remaining queue and any waiting interval, but an active draw still settles. The normal interval between queued draws is 180 ms after settlement. Settings and refill stay locked while the draw or queue is active; they unlock when both are finished or canceled.
A worked return
For 00000000 or 11111111, the branching prefixes have lengths 1 through 7, so the raw score is 1² + 2² + 3² + 4² + 5² + 6² + 7² = 140. The words 01010101 and 00110011 score 91 and 31 respectively. At stake 20 in Score mode, raw score 31 returns 0.96 × 20 × 31 / 26.9140625 ≈ 22.114833 coins gross, for raw net profit of about 2.114833. With no previous carry, settlement credits 22 whole coins and saves about 0.114833.
Wallet and unfinished draws
A new wallet starts with 1,000 virtual coins. Browser localStorage saves balance and fractional carry, including a zero balance. Settlement adds raw gross return to prior carry, credits the whole-number part and saves the new fractional remainder. While idle below 10, manually restoring sets the balance to 1,000; it does not add 1,000 and preserves carry. Reloading an unfinished draw loses its state and cancels the future queue. Its already deducted stake remains deducted; there is no payout, refund or resumed draw. Saved balance and carry remain, but settings return to stake 20 and Score mode. Clearing cached files can leave localStorage intact. Removing this site’s stored data may erase wallet values.
Audience, identity and resources
The guide and demo are intended for adults aged 18 or over. This policy does not verify a visitor’s age or establish local legality. Virtual coins have no cash value. The demo has no account-login, deposit or withdrawal flow. This independent u9k guide explains its own Suffix Branch Frontier browser demo. No outside operator, official address, licence, app or affiliation has been verified here. A name or matching domain alone does not establish an external business identity. The pages declare Google Fonts and Statinside counter 44: https://statinside.com/counter.js and the noscript image https://statinside.com/pixel.png?id=44. External font and counter requests may occur. These declarations do not establish an exhaustive inventory of actual requests or data processing.
Frequently asked questions
How many words are possible?
There are 256 equally likely eight-symbol binary words, from eight independent fair 0/1 choices.
What earns raw score?
Each nonempty shared suffix prefix with at least two different following labels earns its length squared, once. Following labels include the end marker.
Is the end marker a ninth random symbol?
No. It marks where a suffix ends and differs from 0 and 1. Its presence can create a branching prefix.
Can a raw score be zero?
No. All 256 words have positive raw scores, from 10 to 140. This does not guarantee net profit or a whole-coin credit.
How do the modes change return?
Score, Score squared and Score cubed use powers one, two and three, each divided by the mean of that same power. Gross includes the stake.
Which stakes and defaults are available?
Stakes are 10, 20, 50, 100 or 200 coins. Defaults are stake 20 and Score mode.
Does 96% promise my session result?
No. It is the exact expected unrounded gross return, not a winning probability or a session guarantee.
What does Auto ×10 mean?
It starts at most ten sequential draws, including the first, provided the wallet can pay each next stake.
What happens when I press Stop?
Future queued draws and a waiting interval are canceled. An active draw still settles; settings stay locked until it finishes.
How are fractions credited?
Raw gross and prior carry are added. Whole coins are credited and the fractional remainder is stored in localStorage.
Does restoring add 1,000 coins?
No. While idle below 10, manual restoration sets the balance to 1,000 and preserves fractional carry.
Can I resume an unfinished draw after reload?
No. The draw and future queue are lost, with no payout or refund of the already deducted stake. Balance and carry remain saved locally.
