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Maximize the sum of arr[i]*i in C++
Problem statement
Given an array of N integers. You are allowed to rearrange the elements of the array. The task is to find the maximum value of Σarr[i]*i, where i = 0, 1, 2, .. n – 1.
If input array = {4, 1, 6, 2} then the maximum sum will be 28 if we rearrange elements in sorted order−
{1, 2, 4, 6} = (1 * 0) + (2 * 1) + (4 * 2) + (6 * 3) = 28Algorithm
1. Sort array in ascending order 2. Iterate over array and multiply each array element by 1 where i = 0, 1, 2, n – 1. 3. Return sum
Example
#include <bits/stdc++.h>
using namespace std;
int getMaxSum(int *arr, int n){
sort(arr, arr + n);
int sum = 0;
for (int i = 0; i < n; ++i) {
sum = sum + arr[i] * i;
}
return sum;
}
int main(){
int arr[] = {4, 1, 6, 2};
int n = sizeof(arr) / sizeof(arr[0]);
cout << "Maximum sum = " << getMaxSum(arr, n) << endl;
return 0;
}Output
When you compile and execute the above program. It generates following output−
Maximum sum = 28
Updated on: 24-Dec-2019
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