Scope of this independent guide
zbus.info publishes editorial pages and its own Queens on Open Cells browser simulator. A matching name or search query establishes no outside operator, official domain, licence, app, commercial catalogue, support contact or regional availability.
The simulator uses free virtual coins with no cash value. There are no deposits, withdrawals, commercial accounts or prizes here. Its results establish no external game mathematics, financial safety or commercial affiliation.
Limits of external claims
No outside business identity, official domain, commercial safety verdict, licence, financial service or support channel is authenticated here. A logo, search ranking, name or professional interface does not establish these facts. HTTPS encrypts transport to a selected host; it does not certify the host business.
The simulator cannot test external responsiveness, commercial payouts, accounts, funds or transactions. No commercial testing history, regulator endorsement or named editorial team with verified contacts has been established for these pages.
The actual simulator rules
One spin draws sixteen independent fair open/closed cells in a four-by-four board. Raw score counts complete placements of four queens on open cells, with exactly one queen in each row and column and no shared diagonal. The software counts all qualifying placements; the player does not choose a placement after seeing the board. One whole stake covers the board.
These are this guide's original rules. Visual resemblance, game-category names and search snippets provide no evidence about an external commercial game.
Exact expected gross return
Enumerate all 65536 equally likely outcomes and calculate a separate exact mean for each weighting mode. Choose Low, Medium or High before a round. Positive raw scores receive square-root, identity or square weighting respectively; zero remains zero.
Gross virtual credit equals the whole captured stake times 0.96 times observed weight divided by the corresponding exact mean. Every mode has 96% exact expected gross return. There are no separately paid row shares. The stake was deducted at launch, so gross credit includes the stake component and is not net profit.
Modes preserve positive-score frequency while changing positive credits after normalisation. The expectation is neither a 96% chance of winning nor a session-balance guarantee. Past results do not make a favourable next outcome due.
Frequently asked questions
Is this an authenticated operator website?
No. This guide provides its own simulator and authenticates no outside commercial affiliation.
How is raw score defined?
One spin draws sixteen independent fair open/closed cells in a four-by-four board. Raw score counts complete placements of four queens on open cells, with exactly one queen in each row and column and no shared diagonal. The software counts all qualifying placements; the player does not choose a placement after seeing the board. One whole stake covers the board.
What is an example of the score?
A completely open board permits two placements and scores two. A board containing only its main diagonal scores zero. A board opening only columns [1,3,0,2] in rows zero through three permits one placement and scores one. Queen conflicts include both diagonal directions.
What do the weighting modes change?
Low, Medium and High apply square-root, identity and square weights to a positive raw score. Zero stays zero, and each mode is separately normalised.
Inspect the home-page Queens on Open Cells simulator using free virtual coins. Leave at your chosen stopping time.
Play the free demo