Given an integer **N** which represents the variety of Vertices. The Task is to discover the maximum variety of edges feasible in a Bipartite graph of **N** vertices.

You are watching: Maximum number of edges in a graph**Bipartite Graph:**A Bipartite graph is one which is having actually 2 sets of vertices.The collection are such that the vertices in the very same collection will never share an edge in between them.**Examples:****Input:** N = 10**Output:** 25Both the sets will certainly contain 5 vertices and also eexceptionally vertex of first setwill have actually an edge to eexceptionally various other vertex of the second seti.e. total edges = 5 * 5 = 25**Input:** N = 9**Output:** 20**Approach:** The number of edges will certainly be maximum as soon as eextremely vertex of a given set has an edge to eexceptionally other vertex of the various other collection i.e. **edges = m * n** wright here **m** and **n** are the variety of edges in both the sets. in order to maximize the variety of edges, **m** have to be equal to or as close to **n** as feasible. Hence, the maximum variety of edges have the right to be calculated through the formula,

Below is the implementation of the above approach:

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