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26 circles in a unit square, largest sum of radii

Packomania best known (csqv)2.6359831
ShinkaEvolve (exact)2.6359828
AlphaEvolve2.6358628
Ours2.6359831
Gap-0.0000000

32 circles in a unit square, largest sum of radii

Packomania best known (csqv)2.9395728
AlphaEvolve V22.9395720
Ours2.9395728
Gap+0.0000000

37 circles in a unit square, largest sum of radii

Packomania best known (csqv)3.1614989
Ours
Gap

39 circles in a unit square, largest sum of radii

Packomania best known (csqv)3.2481108
Ours
Gap

46 circles in a unit square, largest sum of radii

Packomania best known (csqv)3.5395711
Ours
Gap

52 circles in a unit square, largest sum of radii

Packomania best known (csqv)3.7662331
Ours
Gap