The following rules concern this original demo alone. Its calculations do not establish the mathematics, security, legality or catalogue of another product. There are no monetary deposits or customer accounts in the demo.
Exactly one main-diagonal hazard with companions
Choose 3, 4 or 5 hazards on the 4×4 board. Exactly one hazard lies on the main diagonal from top-left to bottom-right. Every hazard, including that one, must have another hazard one row and one column away. Orthogonal adjacency alone does not qualify.
The anti-diagonal has no quota and separate diagonal-connected groups are allowed. Legal supports contain 6, 40 and 120 layouts for three, four and five hazards. Sample uniformly once; never relocate. A1 and D4 are safe in every supported mode: a corner hazard would require its diagonal neighbour, creating two main-diagonal hazards.
Each choice uses its own conditional probability
After the opened safe cells are known, let N be the number of legal layouts consistent with that history. For an unopened cell let K be the number of those layouts where it is safe. Its safe probability is K/N. Each eligible cell shows that probability; it is not a generic remaining-safe-cells ratio.
The quote starts at 0.97. A safe reveal changes quote q to q×N/K, using the probability of that very chosen cell before revealing it. A hazard ends the round with zero return. Collect returns captured stake times quote, with fractional carry. The identity (K/N)×(q×N/K)=q explains 97% expected gross return for choices using revealed information. This is not a win probability or a guaranteed session return.
Guaranteed-safe cells do not increase the quote
A cell safe in every remaining layout has probability one. Opening it leaves the quote unchanged. Collecting after a guaranteed-safe first pick returns 0.97 times the captured stake, so it does not avoid the opening three-percent expected loss.
If no eligible uncertain cell remains, the current quote settles automatically even when unopened proven-safe cells remain. Proven hazards and quotes above 1,000× are disabled.
Local virtual balance and fractional carry
The initial balance is 1,000 free virtual coins without monetary value or prize entitlement. The settled balance and fractional payout carry are kept in local browser storage when available. A fraction is carried into later settlements rather than discarded on each payout.
Restore balance is available only while idle and below the minimum stake of 10. It sets the balance to 1,000, rather than adding 1,000, and preserves the fraction. It is a manual button, not an automatic reset or a refund for an interrupted round.
Independent boards and conditional prices
Independent enumeration checks all 65,536 binary 4×4 boards for the chosen hazard count, exactly one main-diagonal hazard and a diagonal companion for every hazard. It compares the support and conditional cell probabilities with the actual source. At least one million actual-source rounds are simulated for each mode.
This is evidence about this original demo only. It does not establish an outside publisher, licence, certified RNG, payment feature, legal permission or app safety.
Frequently asked questions
Does the name establish a publisher?
KM98 is a search name here without a confirmed commercial identity. This guide hosts its own Diagonal Companions game. It confirms no outside operator, affiliation, official domain, licence, payment service or app. Similar naming does not establish a shared publisher. The following rules concern this original demo alone. Its calculations do not establish the mathematics, security, legality or catalogue of another product. There are no monetary deposits or customer accounts in the demo.
What makes a hazard layout legal?
Choose 3, 4 or 5 hazards on the 4×4 board. Exactly one hazard lies on the main diagonal from top-left to bottom-right. Every hazard, including that one, must have another hazard one row and one column away. Orthogonal adjacency alone does not qualify. The anti-diagonal has no quota and separate diagonal-connected groups are allowed. Legal supports contain 6, 40 and 120 layouts for three, four and five hazards. Sample uniformly once; never relocate. A1 and D4 are safe in every supported mode: a corner hazard would require its diagonal neighbour, creating two main-diagonal hazards.
How is the chosen cell priced?
After the opened safe cells are known, let N be the number of legal layouts consistent with that history. For an unopened cell let K be the number of those layouts where it is safe. Its safe probability is K/N. Each eligible cell shows that probability; it is not a generic remaining-safe-cells ratio. The quote starts at 0.97. A safe reveal changes quote q to q×N/K, using the probability of that very chosen cell before revealing it. A hazard ends the round with zero return. Collect returns captured stake times quote, with fractional carry. The identity (K/N)×(q×N/K)=q explains 97% expected gross return for choices using revealed information. This is not a win probability or a guaranteed session return.
Do guaranteed-safe cells remove the opening loss?
A cell safe in every remaining layout has probability one. Opening it leaves the quote unchanged. Collecting after a guaranteed-safe first pick returns 0.97 times the captured stake, so it does not avoid the opening three-percent expected loss. If no eligible uncertain cell remains, the current quote settles automatically even when unopened proven-safe cells remain. Proven hazards and quotes above 1,000× are disabled.
Read the diagonal companion rules and try the original free demo. Play the free demo
