Find lost element from a duplicated array
Last Updated :
23 Jul, 2025
Given two arrays that are duplicates of each other except one element, that is one element from one of the array is missing, we need to find that missing element.
Examples:
Input: arr1[] = {1, 4, 5, 7, 9}
arr2[] = {4, 5, 7, 9}
Output: 1
1 is missing from second array.
Input: arr1[] = {2, 3, 4, 5}
arr2[] = {2, 3, 4, 5, 6}
Output: 6
6 is missing from first array.
One simple solution is to iterate over arrays and check element by element and flag the missing element when an unmatched element is found, but this solution requires linear time oversize of the array.
Approach:
We will iterate over each element of the first array and check if it exists in the second array.
If it doesn't exist, that means it's the missing element, and we'll return it.
If we don't find any missing element, we'll return -1.
Implementation:
C++
#include <bits/stdc++.h>
using namespace std;
int find_Missing(int arr1[], int arr2[], int n1, int n2) {
int i, j;
bool found;
for (i = 0; i < n1; i++) {
found = false;
for (j = 0; j < n2; j++) {
if (arr1[i] == arr2[j]) {
found = true;
break;
}
}
if (!found) {
return arr1[i];
}
}
return -1;
}
int main() {
int arr1[] = {1, 4, 5, 7, 9};
int arr2[] = {4, 5, 7, 9};
int n1 = sizeof(arr1) / sizeof(arr1[0]);
int n2 = sizeof(arr2) / sizeof(arr2[0]);
int missing = find_Missing(arr1, arr2, n1, n2);
if (missing == -1) {
cout << "No missing element" << endl;
}
else {
cout<< missing << endl;
}
return 0;
}
Java
import java.util.Arrays;
public class GFG {
// Function to find the missing element between two arrays
// n1 and n2 are the sizes of arr1 and arr2 respectively
static int findMissing(int[] arr1, int[] arr2, int n1, int n2) {
int i, j;
boolean found;
for (i = 0; i < n1; i++) {
found = false;
// Check if the element from arr1 exists in arr2
for (j = 0; j < n2; j++) {
if (arr1[i] == arr2[j]) {
found = true; // Set found to true if the element is found in arr2
break; // Exit the loop since we found a match
}
}
// If the element is not found in arr2, it is the missing element
if (!found) {
return arr1[i]; // Return the missing element
}
}
// If no missing element is found, return -1
return -1;
}
public static void main(String[] args) {
int[] arr1 = {1, 4, 5, 7, 9};
int[] arr2 = {4, 5, 7, 9};
int n1 = arr1.length; // Get the size of arr1
int n2 = arr2.length; // Get the size of arr2
// Find the missing element between arr1 and arr2
int missing = findMissing(arr1, arr2, n1, n2);
// Output the result
if (missing == -1) {
System.out.println("No missing element");
} else {
System.out.println(missing);
}
}
}
Python3
def find_Missing(arr1, arr2):
n1 = len(arr1)
n2 = len(arr2)
for i in range(n1):
found = False
for j in range(n2):
if arr1[i] == arr2[j]:
found = True
break
if not found:
return arr1[i] # Return the missing element
return -1 # Return -1 if no missing element found
# Driver Code
arr1 = [1, 4, 5, 7, 9]
arr2 = [4, 5, 7, 9]
missing = find_Missing(arr1, arr2)
if missing == -1:
print("No missing element")
else:
print(missing) # Print the missing element
C#
using System;
class Program
{
// Function to find the missing element in arr1 that is not present in arr2
static int FindMissing(int[] arr1, int[] arr2)
{
bool found;
// Iterate through arr1
for (int i = 0; i < arr1.Length; i++)
{
found = false;
// Compare each element of arr1 with all elements of arr2
for (int j = 0; j < arr2.Length; j++)
{
if (arr1[i] == arr2[j])
{
found = true;
break;
}
}
// If the element is not found in arr2, return it
if (!found)
{
return arr1[i];
}
}
// If no missing element is found, return -1
return -1;
}
static void Main()
{
int[] arr1 = { 1, 4, 5, 7, 9 };
int[] arr2 = { 4, 5, 7, 9 };
// Find the size of arr1 and arr2
int n1 = arr1.Length;
int n2 = arr2.Length;
// Call the function to find the missing element
int missing = FindMissing(arr1, arr2);
if (missing == -1)
{
Console.WriteLine("No missing element");
}
else
{
Console.WriteLine(missing);
}
}
}
JavaScript
// Function to find the missing element between two arrays
function find_Missing(arr1, arr2, n1, n2) {
for (let i = 0; i < n1; i++) {
let found = false;
for (let j = 0; j < n2; j++) {
if (arr1[i] === arr2[j]) {
found = true;
break;
}
}
if (!found) {
return arr1[i]; // Return the missing element
}
}
return -1; // Return -1 if no missing element found
}
// Driver Code
const arr1 = [1, 4, 5, 7, 9];
const arr2 = [4, 5, 7, 9];
const n1 = arr1.length;
const n2 = arr2.length;
const missing = find_Missing(arr1, arr2, n1, n2);
if (missing === -1) {
console.log("No missing element");
} else {
console.log(missing); // Print the missing element
}
Time Complexity: O(M * N), where M and N represents the size of the given two arrays.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
Another efficient solution is based on a binary search approach. Algorithm steps are as follows:
- Start a binary search in a bigger array and get mid as (lo + hi) / 2
- If the value from both arrays is the same then the missing element must be in the right part so set lo as mid
- Else set hi as mid because the missing element must be in the left part of the bigger array if mid-elements are not equal.
- A special case is handled separately as for single element and zero elements array, the single element itself will be the missing element.
If the first element itself is not equal then that element will be the missing element./li>
Below is the implementation of the above steps
C++
// C++ program to find missing element from same
// arrays (except one missing element)
#include <bits/stdc++.h>
using namespace std;
// Function to find missing element based on binary
// search approach. arr1[] is of larger size and
// N is size of it. arr1[] and arr2[] are assumed
// to be in same order.
int findMissingUtil(int arr1[], int arr2[], int N)
{
// special case, for only element which is
// missing in second array
if (N == 1)
return arr1[0];
// special case, for first element missing
if (arr1[0] != arr2[0])
return arr1[0];
// Initialize current corner points
int lo = 0, hi = N - 1;
// loop until lo < hi
while (lo < hi)
{
int mid = (lo + hi) / 2;
// If element at mid indices are equal
// then go to right subarray
if (arr1[mid] == arr2[mid])
lo = mid;
else
hi = mid;
// if lo, hi becomes contiguous, break
if (lo == hi - 1)
break;
}
// missing element will be at hi index of
// bigger array
return arr1[hi];
}
// This function mainly does basic error checking
// and calls findMissingUtil
void findMissing(int arr1[], int arr2[], int M, int N)
{
if (N == M-1)
cout << "Missing Element is "
<< findMissingUtil(arr1, arr2, M) << endl;
else if (M == N-1)
cout << "Missing Element is "
<< findMissingUtil(arr2, arr1, N) << endl;
else
cout << "Invalid Input";
}
// Driver Code
int main()
{
int arr1[] = {1, 4, 5, 7, 9};
int arr2[] = {4, 5, 7, 9};
int M = sizeof(arr1) / sizeof(int);
int N = sizeof(arr2) / sizeof(int);
findMissing(arr1, arr2, M, N);
return 0;
}
Java
// Java program to find missing element
// from same arrays
// (except one missing element)
import java.io.*;
class MissingNumber {
/* Function to find missing element based
on binary search approach. arr1[] is of
larger size and N is size of it.arr1[] and
arr2[] are assumed to be in same order. */
int findMissingUtil(int arr1[], int arr2[],
int N)
{
// special case, for only element
// which is missing in second array
if (N == 1)
return arr1[0];
// special case, for first
// element missing
if (arr1[0] != arr2[0])
return arr1[0];
// Initialize current corner points
int lo = 0, hi = N - 1;
// loop until lo < hi
while (lo < hi) {
int mid = (lo + hi) / 2;
// If element at mid indices are
// equal then go to right subarray
if (arr1[mid] == arr2[mid])
lo = mid;
else
hi = mid;
// if lo, hi becomes
// contiguous, break
if (lo == hi - 1)
break;
}
// missing element will be at hi
// index of bigger array
return arr1[hi];
}
// This function mainly does basic error
// checking and calls findMissingUtil
void findMissing(int arr1[], int arr2[],
int M, int N)
{
if (N == M - 1)
System.out.println("Missing Element is "
+ findMissingUtil(arr1, arr2, M) + "\n");
else if (M == N - 1)
System.out.println("Missing Element is "
+ findMissingUtil(arr2, arr1, N) + "\n");
else
System.out.println("Invalid Input");
}
// Driver Code
public static void main(String args[])
{
MissingNumber obj = new MissingNumber();
int arr1[] = { 1, 4, 5, 7, 9 };
int arr2[] = { 4, 5, 7, 9 };
int M = arr1.length;
int N = arr2.length;
obj.findMissing(arr1, arr2, M, N);
}
}
// This code is contributed by Anshika Goyal.
Python3
# Python3 program to find missing
# element from same arrays
# (except one missing element)
# Function to find missing element based
# on binary search approach. arr1[] is
# of larger size and N is size of it.
# arr1[] and arr2[] are assumed
# to be in same order.
def findMissingUtil(arr1, arr2, N):
# special case, for only element
# which is missing in second array
if N == 1:
return arr1[0];
# special case, for first
# element missing
if arr1[0] != arr2[0]:
return arr1[0]
# Initialize current corner points
lo = 0
hi = N - 1
# loop until lo < hi
while (lo < hi):
mid = (lo + hi) / 2
# If element at mid indices
# are equal then go to
# right subarray
if arr1[mid] == arr2[mid]:
lo = mid
else:
hi = mid
# if lo, hi becomes
# contiguous, break
if lo == hi - 1:
break
# missing element will be at
# hi index of bigger array
return arr1[hi]
# This function mainly does basic
# error checking and calls
# findMissingUtil
def findMissing(arr1, arr2, M, N):
if N == M-1:
print("Missing Element is",
findMissingUtil(arr1, arr2, M))
elif M == N-1:
print("Missing Element is",
findMissingUtil(arr2, arr1, N))
else:
print("Invalid Input")
# Driver Code
arr1 = [1, 4, 5, 7, 9]
arr2 = [4, 5, 7, 9]
M = len(arr1)
N = len(arr2)
findMissing(arr1, arr2, M, N)
# This code is contributed by Smitha Dinesh Semwal
C#
// C# program to find missing element from
// same arrays (except one missing element)
using System;
class GFG {
/* Function to find missing element based
on binary search approach. arr1[] is of
larger size and N is size of it.arr1[] and
arr2[] are assumed to be in same order. */
static int findMissingUtil(int []arr1,
int []arr2, int N)
{
// special case, for only element
// which is missing in second array
if (N == 1)
return arr1[0];
// special case, for first
// element missing
if (arr1[0] != arr2[0])
return arr1[0];
// Initialize current corner points
int lo = 0, hi = N - 1;
// loop until lo < hi
while (lo < hi) {
int mid = (lo + hi) / 2;
// If element at mid indices are
// equal then go to right subarray
if (arr1[mid] == arr2[mid])
lo = mid;
else
hi = mid;
// if lo, hi becomes
// contiguous, break
if (lo == hi - 1)
break;
}
// missing element will be at hi
// index of bigger array
return arr1[hi];
}
// This function mainly does basic error
// checking and calls findMissingUtil
static void findMissing(int []arr1, int []arr2,
int M, int N)
{
if (N == M - 1)
Console.WriteLine("Missing Element is "
+ findMissingUtil(arr1, arr2, M) + "\n");
else if (M == N - 1)
Console.WriteLine("Missing Element is "
+ findMissingUtil(arr2, arr1, N) + "\n");
else
Console.WriteLine("Invalid Input");
}
// Driver Code
public static void Main()
{
int []arr1 = { 1, 4, 5, 7, 9 };
int []arr2 = { 4, 5, 7, 9 };
int M = arr1.Length;
int N = arr2.Length;
findMissing(arr1, arr2, M, N);
}
}
// This code is contributed by anuj_67.
JavaScript
<script>
// Javascript program to find missing element from
// same arrays (except one missing element)
/* Function to find missing element based
on binary search approach. arr1[] is of
larger size and N is size of it.arr1[] and
arr2[] are assumed to be in same order. */
function findMissingUtil(arr1, arr2, N)
{
// special case, for only element
// which is missing in second array
if (N == 1)
return arr1[0];
// special case, for first
// element missing
if (arr1[0] != arr2[0])
return arr1[0];
// Initialize current corner points
let lo = 0, hi = N - 1;
// loop until lo < hi
while (lo < hi) {
let mid = parseInt((lo + hi) / 2, 10);
// If element at mid indices are
// equal then go to right subarray
if (arr1[mid] == arr2[mid])
lo = mid;
else
hi = mid;
// if lo, hi becomes
// contiguous, break
if (lo == hi - 1)
break;
}
// missing element will be at hi
// index of bigger array
return arr1[hi];
}
// This function mainly does basic error
// checking and calls findMissingUtil
function findMissing(arr1, arr2, M, N)
{
if (N == M - 1)
document.write("Missing Element is "
+ findMissingUtil(arr1, arr2, M) + "</br>");
else if (M == N - 1)
document.write("Missing Element is "
+ findMissingUtil(arr2, arr1, N) + "</br>");
else
document.write("Invalid Input" + "</br>");
}
let arr1 = [ 1, 4, 5, 7, 9 ];
let arr2 = [ 4, 5, 7, 9 ];
let M = arr1.length;
let N = arr2.length;
findMissing(arr1, arr2, M, N);
</script>
PHP
<?php
// PHP program to find missing
// element from same arrays
// (except one missing element)
// Function to find missing
// element based on binary
// search approach. arr1[]
// is of larger size and
// N is size of it. arr1[]
// and arr2[] are assumed
// to be in same order.
function findMissingUtil($arr1, $arr2, $N)
{
// special case, for only
// element which is
// missing in second array
if ($N == 1)
return $arr1[0];
// special case, for first
// element missing
if ($arr1[0] != $arr2[0])
return $arr1[0];
// Initialize current
// corner points
$lo = 0;
$hi = $N - 1;
// loop until lo < hi
while ($lo < $hi)
{
$mid = ($lo + $hi) / 2;
// If element at mid indices are
// equal then go to right subarray
if ($arr1[$mid] == $arr2[$mid])
$lo = $mid;
else
$hi = $mid;
// if lo, hi becomes
// contiguous, break
if ($lo == $hi - 1)
break;
}
// missing element will be
// at hi index of
// bigger array
return $arr1[$hi];
}
// This function mainly
// does basic error checking
// and calls findMissingUtil
function findMissing($arr1, $arr2,
$M, $N)
{
if ($N == $M - 1)
echo "Missing Element is "
, findMissingUtil($arr1,
$arr2, $M) ;
else if ($M == $N - 1)
echo "Missing Element is "
, findMissingUtil($arr2,
$arr1, $N);
else
echo "Invalid Input";
}
// Driver Code
$arr1 = array(1, 4, 5, 7, 9);
$arr2 = array(4, 5, 7, 9);
$M = count($arr1);
$N = count($arr2);
findMissing($arr1, $arr2, $M, $N);
// This code is contributed by anuj_67.
?>
OutputMissing Element is 1
Time Complexity: O(logM + logN), where M and N represents the size of the given two arrays.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
What if input arrays are not in the same order?
In this case, the missing element is simply XOR of all elements of both arrays. Thanks to Yolo Song for suggesting this.
CPP
// C++ program to find missing element from one array
// such that it has all elements of other array except
// one. Elements in two arrays can be in any order.
#include <bits/stdc++.h>
using namespace std;
// This function mainly does XOR of all elements
// of arr1[] and arr2[]
void findMissing(int arr1[], int arr2[], int M,
int N)
{
if (M != N-1 && N != M-1)
{
cout << "Invalid Input";
return;
}
// Do XOR of all element
int res = 0;
for (int i=0; i<M; i++)
res = res^arr1[i];
for (int i=0; i<N; i++)
res = res^arr2[i];
cout << "Missing element is " << res;
}
// Driver Code
int main()
{
int arr1[] = {4, 1, 5, 9, 7};
int arr2[] = {7, 5, 9, 4};
int M = sizeof(arr1) / sizeof(int);
int N = sizeof(arr2) / sizeof(int);
findMissing(arr1, arr2, M, N);
return 0;
}
Java
// Java program to find missing element
// from one array such that it has all
// elements of other array except one.
// Elements in two arrays can be in any order.
import java.io.*;
class Missing {
// This function mainly does XOR of
// all elements of arr1[] and arr2[]
void findMissing(int arr1[], int arr2[],
int M, int N)
{
if (M != N - 1 && N != M - 1) {
System.out.println("Invalid Input");
return;
}
// Do XOR of all element
int res = 0;
for (int i = 0; i < M; i++)
res = res ^ arr1[i];
for (int i = 0; i < N; i++)
res = res ^ arr2[i];
System.out.println("Missing element is "
+ res);
}
// Driver Code
public static void main(String args[])
{
Missing obj = new Missing();
int arr1[] = { 4, 1, 5, 9, 7 };
int arr2[] = { 7, 5, 9, 4 };
int M = arr1.length;
int N = arr2.length;
obj.findMissing(arr1, arr2, M, N);
}
}
// This code is contributed by Anshika Goyal.
Python3
# Python 3 program to find
# missing element from one array
# such that it has all elements
# of other array except
# one. Elements in two arrays
# can be in any order.
# This function mainly does XOR of all elements
# of arr1[] and arr2[]
def findMissing(arr1,arr2, M, N):
if (M != N-1 and N != M-1):
print("Invalid Input")
return
# Do XOR of all element
res = 0
for i in range(0,M):
res = res^arr1[i];
for i in range(0,N):
res = res^arr2[i]
print("Missing element is",res)
# Driver Code
arr1 = [4, 1, 5, 9, 7]
arr2 = [7, 5, 9, 4]
M = len(arr1)
N = len(arr2)
findMissing(arr1, arr2, M, N)
# This code is contributed
# by Smitha Dinesh Semwal
C#
// C# program to find missing element
// from one array such that it has all
// elements of other array except one.
// Elements in two arrays can be in
// any order.
using System;
class GFG {
// This function mainly does XOR of
// all elements of arr1[] and arr2[]
static void findMissing(int []arr1,
int []arr2,
int M, int N)
{
if (M != N - 1 && N != M - 1)
{
Console.WriteLine("Invalid Input");
return;
}
// Do XOR of all element
int res = 0;
for (int i = 0; i < M; i++)
res = res ^ arr1[i];
for (int i = 0; i < N; i++)
res = res ^ arr2[i];
Console.WriteLine("Missing element is "
+ res);
}
// Driver Code
public static void Main()
{
int []arr1 = {4, 1, 5, 9, 7};
int []arr2 = {7, 5, 9, 4};
int M = arr1.Length;
int N = arr2.Length;
findMissing(arr1, arr2, M, N);
}
}
// This code is contributed by anuj_67.
JavaScript
<script>
// Javascript program to find
// missing element from one array
// such that it has all elements
// of other array except one.
// Elements in two arrays
// can be in any order.
// This function mainly does XOR
// of all elements
// of arr1[] and arr2[]
function findMissing(arr1, arr2, M, N)
{
if (M != N-1 && N != M-1)
{
document.write("Invalid Input");
return;
}
// Do XOR of all element
let res = 0;
for (let i=0; i<M; i++)
res = res^arr1[i];
for (let i=0; i<N; i++)
res = res^arr2[i];
document.write("Missing element is " + res);
}
let arr1 = [4, 1, 5, 9, 7];
let arr2 = [7, 5, 9, 4];
let M = arr1.length;
let N = arr2.length;
findMissing(arr1, arr2, M, N);
</script>
PHP
<?php
// PHP program to find missing
// element from one array
// such that it has all elements
// of other array except
// one. Elements in two arrays
// can be in any order.
// This function mainly does
// XOR of all elements
// of arr1[] and arr2[]
function findMissing($arr1, $arr2,
$M, $N)
{
if ($M != $N - 1 && $N != $M - 1)
{
echo "Invalid Input";
return;
}
// Do XOR of all element
$res = 0;
for ($i = 0; $i < $M; $i++)
$res = $res ^ $arr1[$i];
for ($i = 0; $i < $N; $i++)
$res = $res ^ $arr2[$i];
echo "Missing element is ", $res;
}
// Driver Code
$arr1 = array(4, 1, 5, 9, 7);
$arr2 = array(7, 5, 9, 4);
$M = sizeof($arr1);
$N = sizeof($arr2);
findMissing($arr1, $arr2, $M, $N);
// This code is contributed by aj_36
?>
OutputMissing element is 1
Time Complexity: O(M + N), where M and N represents the size of the given two arrays.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
Find missing element from a duplicated array
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15+ min read
Algorithms
Searching AlgorithmsSearching algorithms are essential tools in computer science used to locate specific items within a collection of data. In this tutorial, we are mainly going to focus upon searching in an array. When we search an item in an array, there are two most common algorithms used based on the type of input
2 min read
Sorting AlgorithmsA Sorting Algorithm is used to rearrange a given array or list of elements in an order. For example, a given array [10, 20, 5, 2] becomes [2, 5, 10, 20] after sorting in increasing order and becomes [20, 10, 5, 2] after sorting in decreasing order. There exist different sorting algorithms for differ
3 min read
Introduction to RecursionThe process in which a function calls itself directly or indirectly is called recursion and the corresponding function is called a recursive function. A recursive algorithm takes one step toward solution and then recursively call itself to further move. The algorithm stops once we reach the solution
14 min read
Greedy AlgorithmsGreedy algorithms are a class of algorithms that make locally optimal choices at each step with the hope of finding a global optimum solution. At every step of the algorithm, we make a choice that looks the best at the moment. To make the choice, we sometimes sort the array so that we can always get
3 min read
Graph AlgorithmsGraph is a non-linear data structure like tree data structure. The limitation of tree is, it can only represent hierarchical data. For situations where nodes or vertices are randomly connected with each other other, we use Graph. Example situations where we use graph data structure are, a social net
3 min read
Dynamic Programming or DPDynamic Programming is an algorithmic technique with the following properties.It is mainly an optimization over plain recursion. Wherever we see a recursive solution that has repeated calls for the same inputs, we can optimize it using Dynamic Programming. The idea is to simply store the results of
3 min read
Bitwise AlgorithmsBitwise algorithms in Data Structures and Algorithms (DSA) involve manipulating individual bits of binary representations of numbers to perform operations efficiently. These algorithms utilize bitwise operators like AND, OR, XOR, NOT, Left Shift, and Right Shift.BasicsIntroduction to Bitwise Algorit
4 min read
Advanced
Segment TreeSegment Tree is a data structure that allows efficient querying and updating of intervals or segments of an array. It is particularly useful for problems involving range queries, such as finding the sum, minimum, maximum, or any other operation over a specific range of elements in an array. The tree
3 min read
Pattern SearchingPattern searching algorithms are essential tools in computer science and data processing. These algorithms are designed to efficiently find a particular pattern within a larger set of data. Patten SearchingImportant Pattern Searching Algorithms:Naive String Matching : A Simple Algorithm that works i
2 min read
GeometryGeometry is a branch of mathematics that studies the properties, measurements, and relationships of points, lines, angles, surfaces, and solids. From basic lines and angles to complex structures, it helps us understand the world around us.Geometry for Students and BeginnersThis section covers key br
2 min read
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