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

Formal definition

• ContainerA circle of radius radius centred at (radius, radius), where radius is yours to choose — it is the score; the unit is the smallest circle
• Submissionradius 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 container
• ObjectiveMake the container radius as small as possible