Window Run Debt: Rules, Math & Demo

The game uses twelve independent fair bits, creating 4096 equally likely complete words. The score is calculated by reading each contiguous six-bit window and summing the square of the longest run minus the square of the shortest run over seven windows.

You can preselect one of three raw-score powers, each priced by its own exact unconditional mean:

• Mode 0 (Power 1): Exact mean is 50.3125
• Mode 1 (Power 2): Exact mean is 3047.375
• Mode 2 (Power 3): Exact mean is 209799.9619140625

A selected automatic reveal cap of 4, 8, or 12 phases is also preselected before the round begins.

The live gross bank quote is calculated as: 0.96 × captured whole stake × conditional expectation of the terminal raw score raised to the selected power (the power is applied before averaging) / unconditional mean for that power.

At each prefix, the quote averages all remaining possible words, meaning it can rise or fall. If the zero conditional potential settles, the gross is zero. The expected gross under the supported stopping policies is exactly 96%, though this is not a guarantee of net profit in a single session.

Each semantic reveal follows a 650ms interval. You have manual bank control available immediately while the round is live, with no Auto10 queue. The selected automatic reveal cap (4, 8, or 12) automatically banks the current quote if the limit is reached, or if zero future potential settles zero earlier.

The captured stake, power, and cap are locked until settlement. No hidden future bit is exposed before its reveal. Actions use no information about hidden bits.

The demo wallet starts with an initial balance of 1000. If the balance is below 10 while idle, a manual refill sets the balance to exactly 1000. Fractional carry persists across settlement, refill, and reload.

Settled balance persists locally, including zero. However, reloading an unfinished trace ends it without refund or resume. Busy controls (Stake, mode, and refill) are locked while active, though sound remains available.

The following examples illustrate the raw score calculation for specific twelve-bit words:

• Word [0,0,0,0,0,0,0,0,0,0,0,0]: Raw Score 0
• Word [0,1,1,1,1,1,0,0,0,0,0,1]: Raw Score 120

The mathematical evidence shows that the exact gross RTP is 0.96 across all modes and caps, with measured estimates closely aligning over 1,000,000 rounds.

This guide targets an 18+ audience policy, which is not a claim about local law or an implemented age gate. The demo uses browser localStorage for settled balance and fractional carry, but this does not establish anonymity or exclude other processing. A Google Fonts stylesheet is declared in the template.

There is no demo account flow or payment flow. Virtual coins have no cash value. Clearing cached files may leave local storage where it is actually used.