Practice
Resources
Contests
Online IDE
New
Free Mock
Scaler
Practice
Improve your coding skills with our resources
Contests
Compete in popular contests with top coders
Scaler
Explore Offerings by SCALER

Begin your success journey!

Sign Up using
Full name *
Email *
Password *

By creating an account, I acknowledge that I have read and agree to InterviewBit’s Terms and Privacy Policy .

Welcome back!

Log In using
Email *
Password *

Chain of Pairs


Problem Description

Given a N * 2 array A where (A[i][0], A[i][1]) represents the ith pair.

In every pair, the first number is always smaller than the second number.

A pair (c, d) can follow another pair (a, b) if b < c , similarly in this way a chain of pairs can be formed.

Find the length of the longest chain subsequence which can be formed from a given set of pairs.

Note: A subsequence of a given sequence is a sequence that can be derived from the given sequence by deleting some or no elements without changing the order of the remaining elements.



Problem Constraints

1 <= N <= 103

1 <= A[i][0] < A[i][1] <= 104



Input Format

First and only argument is an 2D integer array A of size N * 2 representing the N pairs.



Output Format

Return a single integer denoting the length of longest chain subsequence of pairs possible under given constraint.



Example Input

Input 1:

 A = [  [5, 24]
        [39, 60]
        [15, 28]
        [27, 40]
        [50, 90]
     ]

Input 2:

 
A = [   [10, 20]
        [1, 2]
     ]



Example Output

Output 1:

 3

Output 2:

 1



Example Explanation

Explanation 1:

 Longest chain that can be formed is of length 3, and the chain is [ [5, 24], [27, 40], [50, 90] ]

Explanation 2:

 Longest chain that can be formed is of length 1, and the chain is [ [1, 2] ] or [ [10, 20] ]



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.
Start solving Chain of Pairs on Interview Code Editor
Hints
  • Hint 1
  • Solution Approach
  • Complete Solution
Asked In:

Discussion


Loading...
Click here to start solving coding interview questions
Free Mock Assessment
Fill up the details for personalised experience.
All fields are mandatory
Current Employer *
Enter company name *
Graduation Year *
Select an option *
1992
1993
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
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
Graduation Year *
Graduation Year *
1992
1993
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
*Enter the expected year of graduation if you're student
Current Employer *
Company Name *
Please verify your phone number
Edit
Resend OTP
By clicking on Start Test, I agree to be contacted by Scaler in the future.
Already have an account? Log in
Free Mock Assessment
Instructions from Interviewbit
Start Test