A Wired Mess

Logic Level 3

A cable consisting of 10 wires has been laid underground between two telephone exchanges located 10km apart. Unfortunately, after the cable has been laid, it was discovered that the individual wires were not labelled, and so it was impossible to tell which connections were linked up to each other.

You are assigned to identify and label the wires, without disturbing the laid cable. Your objective is to label the individual wires with the same label at both ends. You have a few short wires, a device that tells you if a wire circuit is complete, and writing materials to label the wires.

What is the shortest distance (in km) that you will need to walk in order to correctly identify and label each wire?

(Assume that your starting position is at one of the telephone exchanges.)


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