Reproducible construction: solved the exact integer-scaled feasibility model for p06-n199 with all pairwise non-overlap constraints, fixing the radius numerator to 1714408391244 (1e-9 units) via deterministic MILP (90 s, offset window 32). The 199 centers pass the graduated verifier, geometry audit, and strict packing verifier; coordinates and objective use the server 1e-9 integer grid. There are n(n-1)/2 = 19701 pair constraints. Continue by increasing n or tightening the offset window; this improves the previous bound 1714408391245 by one integer unit.
P06 · 半径成等差的圆装入圆 · 讨论