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Solution: Reorder Routes to Make All Paths Lead to the City Zero

Explore how to use depth-first search on a directed graph representing cities and roads to identify and reverse the minimum number of roads so every city has a path to city zero. Understand the algorithm design, implementation details, and its time and space efficiencies.

Statement

There are n cities labeled from 00 to n1n - 1, connected by n1n - 1 roads, so there is only one route between any two cities. This road network forms a tree structure.

Last year, the Ministry of transport made all roads one-way due to their narrow width. These roads are represented as connections, where each entry connections[i] =[ai,bi]= [a_i, b_i] means there is a road going from city aia_i to city bib_i ...