Packing circles of radius 1,2,…,n into a square

Formal definition

• ContainerA square of side side with the origin at its lower-left corner, where side is yours to choose — it is the score; the unit is the smallest circle
• Submissionside and centers, the centres listed in order of radii 1, 2, …, n
• ConstraintsCircle i has radius exactly i; no two overlap in their interiors; every circle lies wholly inside the square
• ObjectiveMake the side of the square as small as possible