ProjectEuler Problem-9 Solution

Problem :

A Pythagorean triplet is a set of three natural numbers, a < b <c, for which,

a² + b² = c²

For example, 3² + 4² = 9 + 16 = 25 = 5².
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.

Solution :

#include<iostream>
using namespace std;

int main()
{
 int a,b,c;
 for(a=1;a<1000;a++)
 for(b=a+1;b<1000;b++)
 for(c=b+1;c<1000;c++)
 {
     if((a+b+c)==1000)
  {
   if((a*a+b*b)==c*c)
   {
   cout<<"Answer :"<<(a*b*c);
   return 0;
      }
  } 
  
 }