给定一个由N个元素组成的数组arr [] ,任务是检查该数组是否具有等于所有其余元素的XOR的元素。
例子:
Input: arr[] = { 8, 2, 4, 15, 1 }
Output: Yes
8 is the required element as 2 ^ 4 ^ 15 ^ 1 = 8.
Input: arr[] = {4, 2, 3}
Output: No
方法:首先,对数组所有元素进行XOR并将其存储在变量xorArr中。现在再次遍历整个数组,并为每个元素计算除当前元素arr [i]之外的所有数组元素的异或,即x = xorArr ^ arr [i] 。
如果x = arr [i],则arr [i]是必需元素,因此显示Yes 。如果找不到这样的元素,则打印No。
下面是上述方法的实现:
C++
// C++ implementation of the approach
#include
using namespace std;
// Function that returns true if the array
// contains an element which is equal to
// the XOR of the remaining elements
bool containsElement(int arr[], int n)
{
// To store the XOR of all
// the array elements
int xorArr = 0;
for (int i = 0; i < n; ++i)
xorArr ^= arr[i];
// For every element of the array
for (int i = 0; i < n; ++i) {
// Take the XOR after excluding
// the current element
int x = xorArr ^ arr[i];
// If the XOR of the remaining elements
// is equal to the current element
if (arr[i] == x)
return true;
}
// If no such element is found
return false;
}
// Driver code
int main()
{
int arr[] = { 8, 2, 4, 15, 1 };
int n = sizeof(arr) / sizeof(arr[0]);
if (containsElement(arr, n))
cout << "Yes";
else
cout << "No";
return 0;
}
Java
// Java implementation of the approach
class GFG
{
// Function that returns true if the array
// contains an element which is equal to
// the XOR of the remaining elements
static boolean containsElement(int [] arr, int n)
{
// To store the XOR of all
// the array elements
int xorArr = 0;
for (int i = 0; i < n; ++i)
xorArr ^= arr[i];
// For every element of the array
for (int i = 0; i < n; ++i)
{
// Take the XOR after excluding
// the current element
int x = xorArr ^ arr[i];
// If the XOR of the remaining elements
// is equal to the current element
if (arr[i] == x)
return true;
}
// If no such element is found
return false;
}
// Driver code
public static void main (String[] args)
{
int [] arr = { 8, 2, 4, 15, 1 };
int n = arr.length;
if (containsElement(arr, n))
System.out.println("Yes");
else
System.out.println("No");
}
}
// This code is contributed by ihritik
Python3
# Python3 implementation of the approach
# Function that returns true if the array
# contains an element which is equal to
# the XOR of the remaining elements
def containsElement(arr, n):
# To store the XOR of all
# the array elements
xorArr = 0
for i in range(n):
xorArr ^= arr[i]
# For every element of the array
for i in range(n):
# Take the XOR after excluding
# the current element
x = xorArr ^ arr[i]
# If the XOR of the remaining elements
# is equal to the current element
if (arr[i] == x):
return True
# If no such element is found
return False
# Driver Code
arr = [8, 2, 4, 15, 1]
n = len(arr)
if (containsElement(arr, n)):
print("Yes")
else:
print("No")
# This code is contributed by Mohit Kumar
C#
// C# implementation of the approach
using System;
class GFG
{
// Function that returns true if the array
// contains an element which is equal to
// the XOR of the remaining elements
static bool containsElement(int [] arr, int n)
{
// To store the XOR of all
// the array elements
int xorArr = 0;
for (int i = 0; i < n; ++i)
xorArr ^= arr[i];
// For every element of the array
for (int i = 0; i < n; ++i)
{
// Take the XOR after excluding
// the current element
int x = xorArr ^ arr[i];
// If the XOR of the remaining elements
// is equal to the current element
if (arr[i] == x)
return true;
}
// If no such element is found
return false;
}
// Driver code
public static void Main ()
{
int [] arr = { 8, 2, 4, 15, 1 };
int n = arr.Length;
if (containsElement(arr, n))
Console.WriteLine("Yes");
else
Console.WriteLine("No");
}
}
// This code is contributed by ihritik
Javascript
输出:
Yes