How to Solve Maximal Network Rank Problem
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Maximal Network Rank
There is an infrastructure of n cities with some number of roads connecting these cities. Each roads[i] = [ai, bi] indicates that there is a bidirectional road between cities ai and bi. The network ra...
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Understanding the Maximal Network Rank Problem
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Problem Statement
There is an infrastructure of n cities with some number of roads connecting these cities. Each roads[i] = [ai, bi] indicates that there is a bidirectional road between cities ai and bi. The network rank of two different cities is defined as the total number of directly connected roads to either city. If a road is directly connected to both cities, it is only counted once. The maximal network rank of the infrastructure is the maximum network rank of all pairs of different cities. Given the integer n and the array roads, return the maximal network rank of the entire infrastructure.
Maximal Network Rank
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Examples
n = 4, roads = [[0,1],[0,3],[1,2],[1,3]]4The network rank of cities 0 and 1 is 4 as there are 4 roads that are connected to either 0 or 1. The road between 0 and 1 is only counted once.
n = 5, roads = [[0,1],[0,3],[1,2],[1,3],[2,3],[2,4]]5There are 5 roads that are connected to cities 1 or 2.
n = 8, roads = [[0,1],[1,2],[2,3],[2,4],[5,6],[5,7]]5The network rank of 2 and 5 is 5. Notice that all the cities do not have to be connected.
Constraints
2 <= n <= 1000 <= roads.length <= n * (n - 1) / 2roads[i].length == 20 <= ai, bi <= n-1ai != biEach pair of cities has at most one road connecting them.How Interview Coder Helps with Leetcode Problems
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