给定一个由n个整数组成的数组a [] ,任务是找到该数组中存在的最长的交替偶数奇数子数组的长度。
例子:
Input: a[] = {1, 2, 3, 4, 5, 7, 9}
Output: 5
Explanation:
The subarray {1, 2, 3, 4, 5} has alternating even and odd elements.
Input: a[] = {1, 3, 5}
Output: 0
Explanation:
There is no such alternating sequence possible.
方法:为解决上述问题,我们必须观察到两个偶数之和为偶数,两个奇数之和为偶数,但一个偶数和一个奇数之和为奇数。
- 最初初始化cnt一个计数器以将长度存储为1。
- 在数组元素之间进行迭代,检查连续的元素是否具有奇数和。
- 如果cnt为奇数,则将cnt增加1。
- 如果没有奇数和,则用1重新初始化cnt。
下面是上述方法的实现:
C++
// C++ program to find the Length of the
// longest alternating even odd subarray
#include
using namespace std;
// Function to find the longest subarray
int longestEvenOddSubarray(int a[], int n)
{
// Length of longest
// alternating subarray
int longest = 1;
int cnt = 1;
// Iterate in the array
for (int i = 0; i < n - 1; i++) {
// increment count if consecutive
// elements has an odd sum
if ((a[i] + a[i + 1]) % 2 == 1) {
cnt++;
}
else {
// Store maximum count in longest
longest = max(longest, cnt);
// Reinitialize cnt as 1 consecutive
// elements does not have an odd sum
cnt = 1;
}
}
// Length of 'longest' can never be 1
// since even odd has to occur in pair or more
// so return 0 if longest = 1
if (longest == 1)
return 0;
return max(cnt, longest);
}
/* Driver code*/
int main()
{
int a[] = { 1, 2, 3, 4, 5, 7, 8 };
int n = sizeof(a) / sizeof(a[0]);
cout << longestEvenOddSubarray(a, n);
return 0;
}
Java
// Java program to find the Length of the
// longest alternating even odd subarray
import java.util.*;
class GFG{
// Function to find the longest subarray
static int longestEvenOddSubarray(int a[], int n)
{
// Length of longest
// alternating subarray
int longest = 1;
int cnt = 1;
// Iterate in the array
for (int i = 0; i < n - 1; i++)
{
// increment count if consecutive
// elements has an odd sum
if ((a[i] + a[i + 1]) % 2 == 1)
{
cnt++;
}
else
{
// Store maximum count in longest
longest = Math.max(longest, cnt);
// Reinitialize cnt as 1 consecutive
// elements does not have an odd sum
cnt = 1;
}
}
// Length of 'longest' can never be 1
// since even odd has to occur in pair or more
// so return 0 if longest = 1
if (longest == 1)
return 0;
return Math.max(cnt, longest);
}
// Driver code
public static void main(String[] args)
{
int a[] = { 1, 2, 3, 4, 5, 7, 8 };
int n = a.length;
System.out.println(longestEvenOddSubarray(a, n));
}
}
// This code is contributed by offbeat
Python3
# Python3 program to find the length of the
# longest alternating even odd subarray
# Function to find the longest subarray
def longestEvenOddSubarray(arr, n):
# Length of longest
# alternating subarray
longest = 1
cnt = 1
# Iterate in the array
for i in range(n - 1):
# Increment count if consecutive
# elements has an odd sum
if((arr[i] + arr[i + 1]) % 2 == 1):
cnt = cnt + 1
else:
# Store maximum count in longest
longest = max(longest, cnt)
# Reinitialize cnt as 1 consecutive
# elements does not have an odd sum
cnt = 1
# Length of 'longest' can never be 1 since
# even odd has to occur in pair or more
# so return 0 if longest = 1
if(longest == 1):
return 0
return max(cnt, longest)
# Driver Code
arr = [ 1, 2, 3, 4, 5, 7, 8 ]
n = len(arr)
print(longestEvenOddSubarray(arr, n))
# This code is contributed by skylags
C#
// C# program to find the Length of the
// longest alternating even odd subarray
using System;
class GFG{
// Function to find the longest subarray
static int longestEvenOddSubarray(int[] a, int n)
{
// Length of longest
// alternating subarray
int longest = 1;
int cnt = 1;
// Iterate in the array
for(int i = 0; i < n - 1; i++)
{
// Increment count if consecutive
// elements has an odd sum
if ((a[i] + a[i + 1]) % 2 == 1)
{
cnt++;
}
else
{
// Store maximum count in longest
longest = Math.Max(longest, cnt);
// Reinitialize cnt as 1 consecutive
// elements does not have an odd sum
cnt = 1;
}
}
// Length of 'longest' can never be 1
// since even odd has to occur in pair
// or more so return 0 if longest = 1
if (longest == 1)
return 0;
return Math.Max(cnt, longest);
}
// Driver code
static void Main()
{
int[] a = { 1, 2, 3, 4, 5, 7, 8 };
int n = a.Length;
Console.WriteLine(longestEvenOddSubarray(a, n));
}
}
// This code is contributed by divyeshrabadiya07
Javascript
输出:
5