给定大小为N的数组arr 。任务是找到数组的前一半( N / 2 )个元素和后一半( N – N / 2 )个元素的XOR。
例子:
Input: arr[]={20, 30, 50, 10, 55, 15, 42}
Output: 56, 24
Explanation:
XOR of first half elements 20 ^ 30 ^ 50 is 56
Xor of second half elements 10 ^ 55 ^ 15 ^ 42 is 24
Input: arr[]={50, 45, 36, 6, 8, 87}
Output: 59, 89
方法:
- 将FirstHalfXOR和SecondHalfXOR初始化为0。
- 在FirstHalfXOR中遍历数组和XOR元素,直到当前索引小于N / 2。
- 否则,在SecondHalfXOR中使用XOR元素。
下面是上述方法的实现:
C++
// C++ program to find the xor of
// the first half elements and
// second half elements of an array
#include
using namespace std;
// Function to find the xor of
// the first half elements and
// second half elements of an array
void XOROfElements(int arr[], int n){
int FirstHalfXOR = 0;
int SecondHalfXOR = 0;
for(int i=0; i < n; i++){
// xor of elements in FirstHalfXOR
if (i < n / 2)
FirstHalfXOR ^= arr[i];
// xor of elements in SecondHalfXOR
else
SecondHalfXOR ^= arr[i];
}
cout << FirstHalfXOR << "," << SecondHalfXOR << endl;
}
// Driver Code
int main() {
int arr[] = {20, 30, 50, 10, 55, 15, 42};
int N = sizeof(arr)/sizeof(arr[0]);
// Function call
XOROfElements(arr, N);
return 0;
}
// This code is contributed by AnkitRai01
Java
// Java program to find the xor of
// the first half elements and
// second half elements of an array
class GFG{
// Function to find the xor of
// the first half elements and
// second half elements of an array
static void XOROfElements(int arr[], int n){
int FirstHalfXOR = 0;
int SecondHalfXOR = 0;
for(int i = 0; i < n; i++){
// xor of elements in FirstHalfXOR
if (i < n / 2)
FirstHalfXOR ^= arr[i];
// xor of elements in SecondHalfXOR
else
SecondHalfXOR ^= arr[i];
}
System.out.print(FirstHalfXOR + ","
+ SecondHalfXOR + "\n");
}
// Driver Code
public static void main(String[] args)
{
int arr[] = { 20, 30, 50, 10, 55, 15, 42 };
int N = arr.length;
// Function call
XOROfElements(arr, N);
}
}
// This code is contributed by 29AjayKumar
Python3
# Python3 program to find the xor of
# the first half elements and
# second half elements of an array
# Function to find the xor of
# the first half elements and
# second half elements of an array
def XOROfElements(arr, n):
FirstHalfXOR = 0;
SecondHalfXOR = 0;
for i in range(n):
# xor of elements in FirstHalfXOR
if (i < n // 2):
FirstHalfXOR ^= arr[i];
# xor of elements in SecondHalfXOR
else:
SecondHalfXOR ^= arr[i];
print(FirstHalfXOR,",",SecondHalfXOR);
# Driver Code
arr = [20, 30, 50, 10, 55, 15, 42];
N = len(arr);
# Function call
XOROfElements(arr, N);
C#
// C# program to find the xor of
// the first half elements and
// second half elements of an array
using System;
class GFG{
// Function to find the xor of
// the first half elements and
// second half elements of an array
static void XOROfElements(int []arr, int n)
{
int FirstHalfXOR = 0;
int SecondHalfXOR = 0;
for(int i = 0; i < n; i++)
{
// xor of elements in FirstHalfXOR
if (i < n / 2)
FirstHalfXOR ^= arr[i];
// xor of elements in SecondHalfXOR
else
SecondHalfXOR ^= arr[i];
}
Console.Write(FirstHalfXOR + "," +
SecondHalfXOR + "\n");
}
// Driver Code
public static void Main(String[] args)
{
int []arr = { 20, 30, 50, 10, 55, 15, 42 };
int N = arr.Length;
// Function call
XOROfElements(arr, N);
}
}
// This code is contributed by 29AjayKumar
Javascript
输出:
56, 24
时间复杂度: O(N)