Question: Consider a complete graph G = ( V , E ) with n vertices, where an edge weight we is defined on each edge. As

Consider a complete graph G =(V, E) with n vertices, where an edge
weight we is defined on each edge. As additional input, you are given two positive integers k
and W. Consider the following problem: given these inputs, is there a set of vertices of size
k such that for each pair of vertices in this set, the edge connecting them has weight at least W? Reduce 3-SAT Problem to this given problem to show that the given problem is NP-hard.

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