Grokking the Coding Interview: Patterns for Coding Questions
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Solution: Number of Provinces (medium)

Problem Statement

Imagine a country with several cities. Some cities have direct roads connecting them, while others might be connected through a sequence of intermediary cities. Using a matrix representation, if matrix[i][j] holds the value 1, it indicates that city i is directly linked to city j and vice versa. If it holds 0, then there's no direct link between them.

Determine the number of separate city clusters (or provinces).




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