Window Run Debt: Game Terms and Mechanics

The game reveals twelve independent fair bits in sequence. For each contiguous six-bit window, the score is calculated based on the maximal equal-bit runs. The raw score is the sum, over seven windows, of the square of the longest run minus the square of the shortest run.

There are 4096 equally likely complete words. You select a power for the score: raw score (1), squared score (2), or cubed score (3). Each power has its own exact unconditional mean: 50.3125, 3047.375, and 209799.9619140625 respectively.

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.

The quote can rise or fall as bits are revealed. If the conditional potential becomes zero, the quote settles at zero. The expected gross return under the supported stopping policies is exactly 96%. This is not a guarantee of net profit for any single session.

• Stake: One whole captured stake; no row shares.
• Power Selection: Preselect power one, two, or three.
• Auto Cap: Select automatic reveal cap of 4, 8, or 12.
• Manual Bank: Available immediately while live; no Auto10 queue.
• Locking: Captured stake, power, and cap are locked during the live round. Sound remains available.

Each semantic reveal follows a 650ms interval. You can manually bank the current conditional quote at any time. If the selected cap (4, 8, or 12) is reached, the game automatically banks the current quote. If zero future potential remains, it settles zero earlier.

No hidden future bit is exposed before its reveal. Actions use no information about hidden bits; all unused future bits are averaged exactly.

The demo uses a local virtual wallet. The initial balance is 1000. If the balance falls below 10 while idle, a manual refill sets the balance to exactly 1000. This is a manual restoration, not automatic replenishment.

• Fractional Carry: Persists across settlement, refill, and reload.
• Settled Balance: Persists locally, including zero.
• Unfinished Reload: Ends without refund or resume.

Stake, mode, and refill are locked while active. Reloading an unfinished trace loses its captured debit.

The exact gross RTP is 0.96 across all modes and caps. Simulation measurements support this but are not the mathematical law.