KM23: Independent Evidence

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.

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.

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.

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.