Spin Dragons：十二個公平位元與全新的詞組字典

Each ball samples twelve independent fair direction bits. Starting at the beginning with an empty dictionary, read the shortest next contiguous phrase not already in the dictionary, insert it and continue after it. If the remaining suffix is already in the dictionary, stop without counting another phrase. Raw score=max(0, number of inserted new phrases minus4). The dictionary resets for each ball. One whole captured stake prices its entire twelve-bit trace.

For000000000000 the new phrases are0,00,000,0000. The leftover00 is already known and is not inserted again: four new phrases give score0. Parsing determines the score after random bits have been sampled; it does not replace random sampling or let the player choose the trace. Different balls do not share a dictionary.

Among4096 equally likely twelve-bit traces,32 score0,624 score1 and3440 score2. There are4064 positive scores. Linear, squared and cubed modes leave positive frequency unchanged. A positive gross credit may be below the captured stake and need not be a net gain. Earlier phrases do not predict new independent traces.

For p=1,2,3, gross multiplier=0.96×rawScore^p/mean(rawScore^p). Exact unconditional means are1.83203125,3.51171875,6.87109375. Each mode has96% expected unrounded gross credit of captured stake, not winning frequency, a strategy or a promised final wallet. Zero stays zero; squared and cubed are powers, not multiplication by2 or3.

Each880ms ball captures its own stake and mode and debits once before animation. At most six priced balls are active together. Changing settings affects later launches only. Auto schedules at most ten drops when coins permit. Stop cancels future launches while active balls settle. Refill stays locked until all balls settle and the queue is empty. No early cashout, resampling or refund of an active trace is offered.

A new browser wallet starts at 1000 virtual coins. Settled integer balance and fractional payout carry are saved in localStorage. A gross credit is added to any saved fraction; the integer part is credited and the remaining fraction is carried forward. These coins have no cash value, deposits, withdrawals or prizes. Storage belongs to this browser and origin, not to an account or an external payment balance.

Only when all balls and the queue are empty and balance is below10 can manual refill set balance to1000 while preserving fractional carry. It does not add1000, refill automatically or reset at any time. A saved zero remains zero after reload, with refill visible once idle.

Settled balance, already debited stake and fractional carry persist in localStorage. Reload does not resume unfinished balls, refund their stakes or pay pending credit. Keep active balls open until settlement. Clearing ordinary cache alone may leave localStorage; removing local data cannot recover progress or erase data already processed elsewhere.

當 p=1、2、3 時，總倍率=0.96×原始分數^p/平均(原始分數^p)。確切的無條件平均值分別為 1.83203125、3.51171875、6.87109375。每種模式預期獲得未取整的總信用額為投注額的 96%，這不代表中獎頻率、策略或保證的最終錢包餘額。零仍為零；平方與立方是次方運算，並非乘以 2 或 3。

每顆 880ms 的球會獨立計算其投注額與模式，並在動畫播放前扣款一次。同時最多有六顆計價球處於活躍狀態。更改設定僅影響後續發射。當硬幣數量允許時，自動模式最多安排十次掉落。停止會取消未來的發射，但活躍中的球會繼續完成。在所有球結算且隊列為空之前，補幣功能將保持鎖定。不會提供提前提款、重新抽樣或對活躍軌跡的退款。

新的瀏覽器錢包初始金額為 1000 枚虛擬硬幣。結算後的整數餘額與小數餘額會儲存於 localStorage 中。總信用額會加至任何儲存的小數部分；整數部分會記入餘額，剩餘的小數部分則會保留並帶至下一輪。這些硬幣沒有現金價值，也不涉及存款、提款或獎金。儲存空間屬於此瀏覽器與網域，而非帳戶或外部支付餘額。

4096 條軌跡的列舉僅用於驗證字串解析及其配發倍率計算。它不提供外部商業裁決、許可證、應用程式真實性、法律許可、支付能力或隱私稽核。匹配的網域、專業頁面、HTTPS、搜尋排名或監管機構標誌並不能確立商業身份。