DIY: Number of Provinces
Explore how to determine the total number of provinces from a connectivity matrix representing direct and indirect city connections. Learn to implement an algorithm in Java that counts these provinces by traversing the graph representation of cities, preparing you for real-world coding interviews.
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We'll cover the following...
Problem statement
Suppose there are n cities, where some are connected, while others are not.
If a city c1 is connected to city c2, and city c2 is connected to city c3, then c1 is indirectly connected to c3.
A group of directly or indirectly connected cities, where no other city is part of this group, is called a province.
You are given a matrix, isConnected with a size of n x n. An entry isConnected[i][j] = 1 if the ...