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Consider the width search algorithm from a start node s. The diameter of an undirected, contiguous...

Consider the width search algorithm from a start node s. The diameter of an undirected, contiguous Graph G = (V, E) is defined as the maximum over all node pairs v, w ∈ V of the length of the shortest path from v to w. We assume that each edge has the length of 1.

Specify an extension of the width search algorithm in pseudo code that has the diameter of an undirected graph G = (V, E). First explain briefly the idea of your algorithm. Determine the runtime of the algorithm and give reasons, why it's correct.

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