Equal coordinate totals
Choose 3, 4 or 5 hazards on a 4×4 board. Row and column indices run from 0 to 3. The sum of every hazard’s row index must equal the sum of its column indices. All 84, 248 or 552 permitted layouts respectively are equally likely and remain fixed during a round. Equality concerns the complete layout, not each individual cell.
Equal sums can be odd
With 3 hazards, A2, B1 and C3 has row sum 0+1+2=3 and column sum 1+0+2=3, so it is legal. A1, A2 and A3 has row sum 0 and column sum 3, so it is illegal. Both sums may be odd. Hazards need not sit on the diagonal or form a symmetric pattern.
Conditional value
Live value starts at 0.97 times the virtual stake. A safe reveal divides it by that cell’s exact conditional safe probability among the remaining compatible legal layouts. A hazard ends the round with zero return. Reveals change knowledge, not the hidden layout.
Collect and eligible choices
Collect is available after a safe reveal. Proven hazards are unavailable; proven-safe cells have probability 1 and add no value. A choice with next value above 1000 times stake is unavailable. When no eligible uncertain choice remains, the current value is banked automatically. The guard is not a promise that 1000×stake can be reached.
Expected return
Exact expected return is 97% for permitted stopping policies. The initial 3% reduction is applied once; conditional safe-branch compensation preserves expectation. Choosing coordinates or stopping changes risk and variance, not this expectation. A short session is not guaranteed to match it.
Wallet and manual restore
Settled balance and fractional payout carry persist in localStorage. Reloading during a round ends it without refunding its already deducted stake. Outside a round, refill restores 1000 coins when balance is below the smallest stake; it does not add 1000 or reset fractional carry. Hazard count, stake and refill are locked during play.
Technical data
There are no account, payment or identity-document forms here. Fonts, the visit counter, server and CDN requests can expose technical data including IP and browser details. Complete anonymity, third-party data use and cookie lifetimes are not established. Clearing cache alone may leave localStorage intact.
Frequently asked questions
Is this an operator website?
This independent KM 23 guide supplies its own free Balanced Moment Mines demo. Operator identity, domains, licence, apps, payments, support and commercial game equivalence have not been independently verified. No operator account or commercial link is supplied here.
What is the coordinate rule?
Choose 3, 4 or 5 hazards on a 4×4 board. Row and column indices run from 0 to 3. The sum of every hazard’s row index must equal the sum of its column indices. All 84, 248 or 552 permitted layouts respectively are equally likely and remain fixed during a round. Equality concerns the complete layout, not each individual cell.
Must both totals be even?
With 3 hazards, A2, B1 and C3 has row sum 0+1+2=3 and column sum 1+0+2=3, so it is legal. A1, A2 and A3 has row sum 0 and column sum 3, so it is illegal. Both sums may be odd. Hazards need not sit on the diagonal or form a symmetric pattern.
How is value calculated?
Live value starts at 0.97 times the virtual stake. A safe reveal divides it by that cell’s exact conditional safe probability among the remaining compatible legal layouts. A hazard ends the round with zero return. Reveals change knowledge, not the hidden layout.
When can I collect?
Collect is available after a safe reveal. Proven hazards are unavailable; proven-safe cells have probability 1 and add no value. A choice with next value above 1000 times stake is unavailable. When no eligible uncertain choice remains, the current value is banked automatically. The guard is not a promise that 1000×stake can be reached.
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