How many pairs of s correspond to edges of g, Computer Engineering

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How many pairs of s correspond to edges of g

Problem

Let G be an undirected graph, represented by an adjacency list, whose vertices are the numbers from 1 to n. Let S be a list with n^5 pairs of numbers. Explain in words what an efficient algorithm would look like to determine how many pairs of S correspond to edges of G and analyze its complexity.

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