Problem · Graph

Directed Graph Reachability Queries

HardGoogle logoGoogleFULLTIMEONSITE INTERVIEW
See Google hiring insights

Problem statement

You are given a directed graph with n vertices numbered from 0 to n - 1. Each pair [from, to] in edges adds a directed edge from from to to.

For every pair [source, target] in queries, determine whether a directed path exists from source to target.

The problem statement continues
Pro

Examples

Example 1

n = 4edges = [[0,1],[1,2],[2,3]]queries = [[0,3],[3,0],[1,1],[0,2]]return = [true,false,true,true]

The path 0 -> 1 -> 2 -> 3 makes 3 reachable from 0. There is no path from 3 back to 0. Vertex 1 reaches itself, and 0 reaches 2.

FastPrep Pro
Reported in 1 Google interview this week

Unlock this recently reported problem

FastPrep Pro gives you full access to interview problems reported within the last week.

  • Full problem statement and constraints
  • 2 more worked examples, explained
  • Guided hints and editorial
  • Run your code on real test cases
$9/month

Pro subscription, billed yearly — or $19 month-to-month. Cancel anytime.

Free plan — 2 of 2 free unlocks used this week
CodePython 3
Run and Submit unlock with Pro
FastPrep Pro
Reported in 1 Google interview this week

Unlock this recently reported problem

FastPrep Pro gives you full access to interview problems reported within the last week.

  • Full problem statement and constraints
  • 2 more worked examples, explained
  • Guided hints and editorial
  • Run your code on real test cases
$9/month

Pro subscription, billed yearly — or $19 month-to-month. Cancel anytime.

Free plan — 2 of 2 free unlocks used this week