Ten Unit Knapsack: Four Weights and Demo Rules

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.

One whole stake for one draw

Choose 10, 20, 50 or 100 virtual coins and a reward power before starting. Starting deducts the whole stake immediately and captures those settings. Stake, mode and refill remain locked until the complete draw settles; sound remains available. This interface has no Auto queue, Stop button or early collection. The four displayed readings belong to the same paid draw. The optimization is calculated automatically and requires no strategic selection.

Manual balance restoration

A new local wallet starts at 1,000 virtual coins. While idle and below 10, its refill button sets the balance to exactly 1,000. It neither adds 1,000 nor happens automatically. Fractional payout carry survives settlement, refill, and reload. The coins have no cash value; this demo has no deposit or withdrawal flow.

Reload and unfinished draws

The game reads the stored settled balance and fractional carry on reload, including a stored zero balance. Reloading an active draw ends it without refund or resume: its captured stake remains deducted. Clearing local storage can remove the saved state. Clearing cached resource files and clearing local storage are different actions; this guide does not recommend deleting storage as login troubleshooting.

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.

Frequently asked questions