- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

We are given an integer n. The goal is to find triplets ( set of 3 numbers ) that satisfy the conditions −

a

^{2}+b^{2}=c^{2}1<=a<=b<=c<=n

We will do this by running two loops for values of 1<=a<=n and 1<=b<=n. Calculate c accordingly (c=sqrt(a2+b2 )) and increment count if both conditions 1 and 2 are met.

Let’s understand with examples.

**Input** − N=5

**Output** − Number of triplets − 1

**Explanation** −

for a=3, b=4 and c=5 both conditions are met.

**Input** − N=3

**Output** − Number of triplets − 0

**Explanation** −

No such triplets that meet conditions 1 and 2.

Integer N stores the last limit of the range [1,N].

Function countTriplets(int n) takes n and returns the count of triplets which satisfy the conditions a

^{2}+b^{2}=c^{2}and 1<=a<=b<=c<=nVariable count stores the number of such triplets, initially 0.

Variable sum stores the sum of squares of a and b.

Starting from a=1 to n and b=a to n, calculate sum=a*a+b*b and c as square root of sum (sqrt(sum)).

If calculated c has value such that c*c==sum and b<=c && c<=n ( both condition 1 and 2 are met ).

Increment count as current a,b,c satisfy both conditions.

Perform this until a=n and b=n. In the end, count will have a number of such triplets that satisfy the conditions.

Return the count as desired result.

#include <bits/stdc++.h> using namespace std; int countTriplets(int n){ int count = 0; int a,b,c; a=b=c=1; int sum=0; for (a = 1; a <= n; a++) //1<=a<=n{ for (b = a; b <= n; b++) //1<=a<=b<=n{ sum = a*a + b*b; //a^2 + b^2 =c^2 c = sqrt(sum); if (c * c == sum && b<=c && c<=n) //check 1<=a<=b<=c<=n{ count++; cout<<endl<<"a :"<<a<<" b :"<<b<<" c :"<<c; //to print triplets } } } return count; } int main(){ int N = 15; cout <<endl<< "Number of triplets : "<<countTriplets(N); return 0; }

If we run the above code it will generate the following output −

Number of triplets : a :3 b :4 c :5 a :5 b :12 c :13 a :6 b :8 c :10 a :9 b :12 c :154 Number of triplets : 4

- Related Questions & Answers
- Count number of pairs (A <= N, B <= N) such that gcd (A , B) is B in C++
- Count the triplets such that A[i] < B[j] < C[k] in C++
- Count pairs (a, b) whose sum of squares is N (a^2 + b^2 = N) in C++
- Find 2^(2^A) % B in C++
- HTML <b> Tag
- Find maximum sum of triplets in an array such than i < j < k and a[i] < a[j] < a[k] in C++
- Print values of ‘a’ in equation (a+b) <= n and a+b is divisible by x
- Find minimum positive integer x such that a(x^2) + b(x) + c >= k in C++
- cout << endl vs cout << “\n” in C++
- Sum of series 1^2 + 3^2 + 5^2 + . . . + (2*n - 1)^2 in C++
- Find four elements a, b, c and d in an array such that a+b = c+d in C++
- Find maximum sum of triplets in an array such than i < j < k and a[i] < a[j] < a[k] in Python
- Count triplet pairs (A, B, C) of points in 2-D space that satisfy the given condition in C++
- Sum of the series 2^0 + 2^1 + 2^2 +...+ 2^n in C++
- Larger of a^b or b^a in C++

Advertisements