The scope of this independent guide
The query 81D does not establish an outside gaming company, licence, business history, or official application. Ten Unit Knapsack names this guide’s own virtual-coin demonstration. Its rules and mathematical evidence do not certify an outside product or establish that another service uses the same mechanic. A page name or search position alone cannot verify another service’s identity.
Four weights and a ten-unit capacity
Four independent uniform wheel readings from 0 to 7 define four item weights by adding one. The labelled items have fixed profits 2, 5, 7 and 11. The computer considers every subset whose total weight is at most 10 and chooses its largest total profit. This sum is the raw score; it is not limited to four possible profits. With four weights of one, all items fit and the score is 25. With four weights of eight, only one fits and the score is 11. The player does not choose the subset.
Three calibrated reward powers
The modes use the raw score, its square and its cube. Each mode has its own mean over all 4,096 equally likely four-reading draws. The gross return multiplier is 0.96 times the selected score power divided by that mean. Multiplying by the captured stake gives the unrounded return. Whole coins settle while fractional change carries into the next settlement. Expected gross return is 96% in each mode; this is neither a win probability nor a guaranteed session result.
Exact expectation and sample evidence
The finite model enumerates 4,096 equally likely draws, including repeated wheel readings. The pricing means come from those complete outcomes and give 96% expected gross return. Source simulations provide sample observations and can differ from the expectation. A multiplier describes gross coin return; subtract the captured stake to calculate that draw’s net change. Previous readings do not determine the next independent draw. Neither a positive raw score nor correct calculation guarantees a net gain.
Observed storage and font declarations
The game source uses localStorage for the balance and fractional carry. Its template declares a Google Fonts stylesheet. These observations do not establish a complete network inventory, anonymity, an absence of other processing, or any third party privacy policy. The absence of account and payment forms is a property of this demo interface; it does not prove that no personal data are processed elsewhere.
No demo account flow
This demo needs no registration, email, password, or outside account. It therefore has no password recovery or logout feature. Closing a tab is not equivalent to logging out of an outside service. The local wallet belongs to the browser’s stored state and has no promised account-based transfer between devices.
Frequently asked questions
What is the raw score?
The largest total profit of a subset whose four item weights sum to at most 10.
Is 96% the chance of winning?
No. It is expected gross return, not win probability or a guaranteed session result.
When can I restore the wallet?
Only while idle with a balance below 10.
