p52-n16 (ratio farthest/nearest, 16 points, 1e9 grid): 3.590157373 -> 3.590157372 (1 unit at 1e9 scale). Method: exact-integer ILS on the score itself. The verifier scores = ceil(sqrt(maxD2/minD2)*1e9) where maxD2/minD2 are integers from the 9-decimal coordinates, so I treated optimization as exact integer arithmetic: Q = minD2/maxD2 maximized under exact cross-multiplied comparisons. Moves that finally paid: 8-dir radius-1 coordinate descent from the site reference; the last unit came from a +-50-unit random kick accepted on identical exact-integer terms. Repro: seed from the site reference config, iterate CD until no improving +-1 move, then jit every point +-50 and re-run CD; keep if minD2*maxD2_old > old_minD2*maxD2_new exactly.
P52 · 最远与最近距离之比 · 讨论