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Find sum of non-repeating (distinct) elements in an array

  • Difficulty Level : Basic
  • Last Updated : 24 May, 2021

Given an integer array with repeated elements, the task is to find sum of all distinct elements in array.
Examples: 

Input  : arr[] = {12, 10, 9, 45, 2, 10, 10, 45,10};
Output : 78
Here we take 12, 10, 9, 45, 2 for sum
because it's distinct elements 

Input : arr[] = {1, 10, 9, 4, 2, 10, 10, 45 , 4};
Output : 71

A Simple Solution is to use two nested loops. The outer loop picks an element one by one starting from the leftmost element. The inner loop checks if the element is present on left side of it. If present, then ignores the element.
Time Complexity : O(n2
Auxiliary Space : O(1)
A Better Solution of this problem is that using sorting technique we firstly sort all elements of array in ascending order and and find one by one distinct elements in array. 
 

C++




// C++ Find the sum of all non-repeated
// elements in an array
#include<bits/stdc++.h>
using namespace std;
 
// Find the sum of all non-repeated elements
// in an array
int findSum(int arr[], int n)
{
    // sort all elements of array
    sort(arr, arr + n);
 
    int sum = 0;
    for (int i=0; i<n; i++)
    {
        if (arr[i] != arr[i+1])
            sum = sum + arr[i];
    }
 
    return sum;
}
 
// Driver code
int main()
{
    int arr[] = {1, 2, 3, 1, 1, 4, 5, 6};
    int n = sizeof(arr)/sizeof(int);
    cout << findSum(arr, n);
    return 0;
}

Java




import java.util.Arrays;
 
// Java Find the sum of all non-repeated
// elements in an array
public class GFG {
 
// Find the sum of all non-repeated elements
// in an array
    static int findSum(int arr[], int n) {
        // sort all elements of array
 
        Arrays.sort(arr);
        
        int sum = arr[0];
        for (int i = 0; i < n-1; i++) {
            if (arr[i] != arr[i + 1]) {
                sum = sum + arr[i+1];
            }
        }
 
        return sum;
    }
 
// Driver code
    public static void main(String[] args) {
        int arr[] = {1, 2, 3, 1, 1, 4, 5, 6};
        int n = arr.length;
        System.out.println(findSum(arr, n));
 
    }
}

Python3




     
# Python3 Find the sum of all non-repeated
# elements in an array
 
  
# Find the sum of all non-repeated elements
# in an array
def findSum(arr,  n):
    # sort all elements of array
    arr.sort()
  
    sum = arr[0]
    for i in range(0,n-1):
        if (arr[i] != arr[i+1]):
            sum = sum + arr[i+1]
     
    return sum
  
# Driver code
def main():
    arr= [1, 2, 3, 1, 1, 4, 5, 6]
    n = len(arr)
    print(findSum(arr, n))
 
if __name__ == '__main__':
    main()
# This code is contributed by 29AjayKumar

C#




// C# Find the sum of all non-repeated
// elements in an array
using System;
class GFG
{
 
    // Find the sum of all non-repeated elements
    // in an array
    static int findSum(int []arr, int n)
    {
        // sort all elements of array
        Array.Sort(arr);
         
        int sum = arr[0];
        for (int i = 0; i < n - 1; i++)
        {
            if (arr[i] != arr[i + 1])
            {
                sum = sum + arr[i + 1];
            }
        }
        return sum;
    }
 
    // Driver code
    public static void Main()
    {
        int []arr = {1, 2, 3, 1, 1, 4, 5, 6};
        int n = arr.Length;
        Console.WriteLine(findSum(arr, n));
    }
}
 
// This code is contributed by 29AjayKumar

Javascript




<script>
 
// JavaScript Program to find the sum of all non-repeated
// elements in an array
 
// Find the sum of all non-repeated elements
// in an array
function findSum(arr, n)
{
    // sort all elements of array
    arr.sort();
 
    let sum = 0;
    for (let i=0; i<n; i++)
    {
        if (arr[i] != arr[i+1])
            sum = sum + arr[i];
    }
 
    return sum;
}
 
// Driver code
 
    let arr = [1, 2, 3, 1, 1, 4, 5, 6];
    let n = arr.length;
    document.write(findSum(arr, n));
 
// This code is contributed by Surbhi Tyagi
 
</script>

Output: 

21

Time Complexity : O(n log n) 
Space Complexity : O(1)
An Efficient solution of this problem is that using unordered_set we run a single for loop and which value comes first time its add in sum variable and store in hash table that for next time we not use this value.
 

C++




// C++ Find the sum of all non- repeated
// elements in an array
#include<bits/stdc++.h>
using namespace std;
 
// Find the sum of all non-repeated elements
// in an array
int findSum(int arr[],int n)
{
    int sum = 0;
 
    // Hash to store all element of array
    unordered_set< int > s;
    for (int i=0; i<n; i++)
    {
        if (s.find(arr[i]) == s.end())
        {
            sum += arr[i];
            s.insert(arr[i]);
        }
    }
 
    return sum;
}
 
// Driver code
int main()
{
    int arr[] = {1, 2, 3, 1, 1, 4, 5, 6};
    int n = sizeof(arr)/sizeof(int);
    cout << findSum(arr, n);
    return 0;
}

Java




// Java Find the sum of all non- repeated
// elements in an array
import java.util.*;
 
class GFG
{
     
    // Find the sum of all non-repeated elements
    // in an array
    static int findSum(int arr[], int n)
    {
        int sum = 0;
 
        // Hash to store all element of array
        HashSet<Integer> s = new HashSet<Integer>();
        for (int i = 0; i < n; i++)
        {
            if (!s.contains(arr[i]))
            {
                sum += arr[i];
                s.add(arr[i]);
            }
        }
        return sum;
    }
 
    // Driver code
    public static void main(String[] args)
    {
        int arr[] = {1, 2, 3, 1, 1, 4, 5, 6};
        int n = arr.length;
        System.out.println(findSum(arr, n));
    }
}
 
// This code is contributed by Rajput-Ji

Python3




# Python3 Find the sum of all
# non- repeated elements in an array
 
# Find the sum of all non-repeated
# elements in an array
def findSum(arr, n):
    s = set()
    sum = 0
 
    # Hash to store all element
    # of array
    for i in range(n):
        if arr[i] not in s:
            s.add(arr[i])
    for i in s:
        sum = sum + i
 
    return sum
 
# Driver code
arr = [1, 2, 3, 1, 1, 4, 5, 6]
n = len(arr)
print(findSum(arr, n))
 
# This code is contributed by Shrikant13

C#




// C# Find the sum of all non- repeated
// elements in an array
using System;
using System.Collections.Generic;
 
class GFG
{
     
    // Find the sum of all non-repeated elements
    // in an array
    static int findSum(int []arr, int n)
    {
        int sum = 0;
 
        // Hash to store all element of array
        HashSet<int> s = new HashSet<int>();
        for (int i = 0; i < n; i++)
        {
            if (!s.Contains(arr[i]))
            {
                sum += arr[i];
                s.Add(arr[i]);
            }
        }
        return sum;
    }
 
    // Driver code
    public static void Main(String[] args)
    {
        int []arr = {1, 2, 3, 1, 1, 4, 5, 6};
        int n = arr.Length;
        Console.WriteLine(findSum(arr, n));
    }
}
 
// This code is contributed by Rajput-Ji

Javascript




<script>
 
//  Javascript program Find the sum of all non- repeated
// elements in an array
 
    // Find the sum of all non-repeated elements
    // in an array
    function findSum(arr, n)
    {
        let sum = 0;
  
        // Hash to store all element of array
        let s = new Set();
        for (let i = 0; i < n; i++)
        {
            if (!s.has(arr[i]))
            {
                sum += arr[i];
                s.add(arr[i]);
            }
        }
        return sum;
    }
     
    // Driver code
     
    let arr = [1, 2, 3, 1, 1, 4, 5, 6];
        let n = arr.length;
        document.write(findSum(arr, n));
     
</script>

Output: 
 



21

Time Complexity: O(n) 
Auxiliary Space: O(n)
 

Method #3:Using Built-in python functions:

Approach:

  • Calculate the frequencies using Counter() function
  • Convert the frequency keys to the list.
  • Calculate the sum of the list.

Below is the implementation of the above approach.

Python3




# Python program for the above approach
from collections import Counter
 
# Function to return the sum of distinct elements
def sumOfElements(arr, n):
 
    # Counter function is used to
    # calculate frequency of elements of array
    freq = Counter(arr)
     
    # Converting keys of freq dictionary to list
    lis = list(freq.keys())
     
    # Return sum of list
    return sum(lis)
 
 
# Driver code
if __name__ == "__main__":
 
    arr = [1, 2, 3, 1, 1, 4, 5, 6]
    n = len(arr)
 
    print(sumOfElements(arr, n))
 
# This code is contributed by vikkycirus

Output:

21

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