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Element equal to the sum of all the remaining elements in C++
In this problem, we are given an array arr[] consisting of n positive values. Our task is to find the element equal to the sum of all the remaining elements of the array.
Code Description: We need to find the element whose value is equal to the sum of all elements of the array except that element.
Let’s take an example to understand the problem,
Input: arr[] = { 5, 4, 17, 1, 7 }
Output: 17
Explanation −
The sum of the rest of the element is (5 + 4 + 1 + 7 ) = 17, which is equal to the remaining element 17.
Solution Approach −
A simple solution to the problem is using the fact that the sum of all elements of the array is twice the given element. For this we will follow these steps,
Step 1: Find the sum of all elements of the array.
Step 2: loop for each element of the array,
Step 2.1: if arr[i] == sum/2.
Step 2.1.1: if true. Flag = 1, break the loop.
Step 2.2.1: if false, leave it.
Step 3: If flag == 1, print arr[i]
Step 4: Else, print “No such element found”.
Program to illustrate the working of our solution,
Example
#include <iostream>
using namespace std;
void findElemenetInArray(int arr[], int n) {
int arraySum = 0;
int flag = 0, i;
for (i = 0; i < n; i++)
arraySum += arr[i];
for (i = 0; i < n; i++)
if ( (2*arr[i]) == arraySum ) {
flag = 1;
break;
}
if(flag)
cout<<arr[i];
else
cout<<"No such element is found!";
}
int main() {
int n = 5;
int arr[n] = { 5, 4, 7, 1, 17 };
findElemenetInArray(arr, n);
return 0;
}Output
17
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