Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Minimize the sum of squares of sum of N/2 paired formed by N numbers in C++
Problem statement
Given an array of n elements. The task is to create n/2 pairs in such a way that sum of squares of n/2 pairs is minimal.
Example
If given array is −
arr[] = {5, 10, 7, 4}
then minimum sum of squares is 340 if we create pairs as (4, 10) and ( 5, 7)Algorithm
1. Sort the array
2. Take two variables which point to start and end index of an array
3. Calulate sum as follows:
sum = arr[start] + arr[end];
sum = sum * sum;
4. Repeate this procedure till start < end and increment minSum as follows:
While (start < end) {
sum = arr[start] + arr[end];
sum = sum * sum;
minSum += sum;
++start;
--end;
}Example
#include <iostream>
#include <algorithm>
#define SIZE(arr) (sizeof(arr) / sizeof(arr[0]))
using namespace std;
int getMinSquareSum(int *arr, int n) {
sort(arr, arr + n);
int minSum = 0;
int start = 0;
int end = n - 1;
while (start < end) {
int sum = arr[start] + arr[end];
sum *= sum;
minSum += sum;
++start;
--end;
}
return minSum;
}
int main() {
int arr[] = {5, 10, 7, 4};
int res = getMinSquareSum(arr, SIZE(arr));
cout << "Minimum square sum: " << res << "\n";
return 0;
}Output
When you compile and execute above program. It generates following output −
Minimum square sum: 340
Updated on: 22-Oct-2019
64 Views
Advertisements