Practice
Resources
Contests
Online IDE
New
Free Mock
Events New Scaler
Practice
Improve your coding skills with our resources
Contests
Compete in popular contests with top coders
Events
Attend free live masterclass hosted by top tech professionals
New
Scaler
Explore Offerings by SCALER

# Path in Directed Graph

Problem Description

Given an directed graph having A nodes labelled from 1 to A containing M edges given by matrix B of size `M x 2`such that there is a edge directed from node

B[i][0] to node B[i][1].

Find whether a path exists from node 1 to node A.

Return 1 if path exists else return 0.

NOTE:

• There are no self-loops in the graph.
• There are no multiple edges between two nodes.
• The graph may or may not be connected.
• Nodes are numbered from 1 to A.
• Your solution will run on multiple test cases. If you are using global variables make sure to clear them.

Problem Constraints

2 <= A <= 105

1 <= M <= min(200000,A(A-1))

1 <= B[i][0], B[i][1] <= A

Input Format

The first argument given is an integer A representing the number of nodes in the graph.

The second argument given a matrix B of size `M x 2` which represents the M edges such that there is a edge directed from node B[i][0] to node B[i][1].

Output Format

Return 1 if path exists between node 1 to node A else return 0.

Example Input

Input 1:

``` A = 5
B = [  [1, 2]
[4, 1]
[2, 4]
[3, 4]
[5, 2]
[1, 3] ]
```

Input 2:

``` A = 5
B = [  [1, 2]
[2, 3]
[3, 4]
[4, 5] ]
```

Example Output

Output 1:

``` 0
```

Output 2:

``` 1
```

Example Explanation*

Explanation 1:

``` The given doens't contain any path from node 1 to node 5 so we will return 0.
```

Explanation 2:

``` Path from node1 to node 5 is ( 1 -> 2 -> 3 -> 4 -> 5 ) so we will return 1.
```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
• Hint 1
• Solution Approach
• Complete Solution

## Discussion

Free Mock Assessment
Fill up the details for personalised experience.
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
*Enter the expected year of graduation if you're student
Current Employer
Company Name
College/University Name
Job Title
Job Title
Software Development Engineer (Backend)
Software Development Engineer (Frontend)
Software Development Engineer (Full Stack)
Data Scientist
Android Engineer
iOS Engineer
Devops Engineer
Support Engineer
Research Engineer
Engineering Intern
QA Engineer
Co-founder
SDET
Product Manager
Product Designer
Backend Architect
Program Manager
Release Engineer