Solution 4 for Scaler Topics Fortnightly Contest - 6

This article is part of the Scaler Topics Fortnightly Contest - 6.

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Solution Approach

• Brute force approach would be to remove each edge and calculate the required product? Can you do better?
• What type of roads would divide the kingdom into two parts?
• Bridges in the graphs. Can you use this concept with some preprocessing?
• Root a tree at a node and find the bridges in the graph also calculate population of all the substrees.
• Now iterate over all possible bridges and calculate answer using: ( TotalPopulation - subPop[v] ) * subPop[v]

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