Master this problem using the Union Find pattern.
When approaching Number of Provinces, look for key problem signals that suggest using the Union Find pattern. Focus on reducing redundant iterations, maintaining state invariant, and optimizing space-time complexity.
Key Invariant
Maintain optimal range bounds or hash frequency state during traversal.
Expected Complexity
Time: O(N) or O(N log N) | Space: O(1) to O(N)
Study Resource
Need code templates for Union Find?
Check out our visual cheatsheet with copy-paste C++ code skeletons.