All Paths From Source Lead To Destination Problem Statement

In a directed graph with 'N' nodes numbered from 0 to N-1, determine whether every possible path starting from a given source node (SRC) eventually leads to a specified destination node (DEST). You are provided with a list of edges representing the connections between nodes, along with the node SRC and DEST.

Conditions:

  • There must be at least one path from SRC to DEST.
  • If there's a path from SRC to any node with no outgoing edges, that node should be DEST.
  • The number of paths from SRC to DEST should be finite.

Return True if all paths starting at SRC end at DEST, otherwise return False.

Example:

Input:
 N = 4, EDGES = [[0, 1], [0, 3], [1, 2], [3, 2]], SRC = 0, DEST = 2
Output:
True
Explanation:

All paths originating from node 0 lead to node 2 (DEST) as follows: 0->1->2 and 0->3->2. Since both paths eventually end at the destination node 2, the result is True.

Constraints:

  • 1 <= T <= 50
  • 2 <= N <= 104
  • 0 <= M <= 104
  • 0 <= SRC < N
  • 0 <= DEST < N
  • SRC ≠ DEST
  • 0 <= EDGES[i][j] < N

Input:

 The first line contains the integer 'T', the number of test cases. For each test case: the first line has four space-separated integers: 'N', 'M', 'SRC', 'DEST'. Following are 'M' lines, each with two integers representing a directed edge. 

Output:

 Print 'True' for each test case if every path from SRC leads to DEST, else print 'False'. Each test case result should be on a new line. 

Note:

 No need to print anything. Your task is to implement the function that determines the result. 
Be the first one to answer
Add answer anonymously...
Tredence Senior Software Engineer Interview Questions
Stay ahead in your career. Get AmbitionBox app
qr-code
Helping over 1 Crore job seekers every month in choosing their right fit company
65 L+

Reviews

4 L+

Interviews

4 Cr+

Salaries

1 Cr+

Users/Month

Contribute to help millions

Made with ❤️ in India. Trademarks belong to their respective owners. All rights reserved © 2024 Info Edge (India) Ltd.

Follow us
  • Youtube
  • Instagram
  • LinkedIn
  • Facebook
  • Twitter