The one-dimensional circle packing problem is as follows: You have N circles ofradii

Chapter 10, Problem 10.47

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The one-dimensional circle packing problem is as follows: You have N circles ofradii r1,r2, ... ,rN. These circles are packed in a box such that each circle is tangentto the bottom of the box and are arranged in the original order. The problemis to find the width of the minimum-sized box. Figure 10.77 shows an examplewith circles of radii 2, 1, 2 respectively. The minimum-sized box has width4 + 42.

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