Pythagorean Triplets
You are given an array of n integers (a1, a2,....,an), you need to find if the array contains a pythagorean triplet or not.
An array is said to have a pythagorean triplet if there exists three integers x,y and z in the array such that x^2 + y^2 = z^2.
Note
1. The integers x,y and z might not be distinct , but they should be present at different locations in the array i.e if a[i] = x, a[j] = y and a[k] = z, then i,j and k should be pairwise distinct.
2. The integers a,b and c can be present in any order in the given array.
Input Format:
The first line contains a single integer t - the number of test cases. Each test case consists of 2 lines as follows:
The first line of each test case will contain the integer n, denoting the total number of elements in the array.
The second line of each test case will contain n space-separated integers a1,a2,....,an , where ai is the ith element of the array..
Output Format:
For each test case, print “yes”, if the array contains a pythagorean triplet,”no” otherwise.
Note:
You do not need to print anything, it has already been taken care of. Just implement the given function.
Constraints:
1 <= T <= 10
3 <= N <= 10^3
1 <= a[i] <= 10^4
Time Limit: 1sec
CodingNinjas
author
2y
Approach :
1) I solved it in O(N^2) approach.
2) Sort the array.
3) Initially map all the elements of the array to their index in a Hash Map or a Hash Set.
4) Now , run 2 for loops and for every x^2 + y^2...read more
CodingNinjas
author
2y
Brute Force
- One simple naive solution is to try every possible triplet present in the array as a candidate for the pythagorean triplet.
- So, we simply run three nested loops, and pick three integers and ...read more
CodingNinjas
author
2y
HASHMAP
- Let us assume that the maximum element in the array is ‘mx’, now we know that if there is a valid pythagorean triplet (a,b,c) in the array , then a<=mx, b<=mx, and c<=mx.
- Thus, we can iterate ov...read more
CodingNinjas
author
2y
Sorting
- Before jumping into the actual solution , let us observe few things:
- Given two integers a1 and a2 such that a1
- According to the property: a^2 + b^2 = c^2, it is obvious that...read more
Add answer anonymously...
Top Ernst & Young Associate Software Engineer interview questions & answers
Popular interview questions of Associate Software Engineer
Top HR questions asked in Ernst & Young Associate Software Engineer
>
Ernst & Young Associate Software Engineer Interview Questions
Stay ahead in your career. Get AmbitionBox app
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
Get AmbitionBox app