Dataford
Interview QuestionsInterview GuidesExperiencesMock InterviewsPricing
Get started

Graph Traversal Algorithms

MediumPython00:00
Practice interviewer
In session
5 left
00:00

Your question is Graph Traversal Algorithms. Start with the requirements on the right.

Run and submit as often as you like. When you're ready, talk me through your approach or go straight to the code.

You need to log in / sign up to run or submit.

Problem

Abzooba models relationships between services as an undirected graph. Given the number of services, their connections, and two selected services, return every connected component and a shortest path between the selected services.

Implement analyze_graph(n, edges, source, target).

Formal Specification

  • n is an integer representing vertices 0 through n - 1.
  • edges is a list of two-element lists [u, v], where each pair represents an undirected edge between valid vertices.
  • source and target are valid vertex integers.
  • Return a dictionary with:
    • components: all connected components, with each component sorted in ascending order and the list of components sorted by their smallest vertex.
    • path: any shortest path from source to target, including both endpoints, or [] if no path exists.

Use graph traversal algorithms rather than enumerating every possible path. The graph may contain isolated vertices, but it contains no duplicate edges or self-loops.

Constraints

  • 1 <= n <= 10^5
  • 0 <= len(edges) <= 2 * 10^5
  • Each edge endpoint is an integer in [0, n - 1]
  • The graph has no duplicate edges or self-loops
  • The graph is undirected

Function Signature

def analyze_graph(n, edges, source, target):
Your solutionPython 3
You need to log in / sign up to run or submit.
Run your code to see test output