给定一个数组arr [] 大小为N和整数K ,任务是计算子数组的数量,该子数组由降序排列的前K个自然数组成。
例子:
Input: arr[] = {1, 2, 3, 7, 9, 3, 2, 1, 8, 3, 2, 1}, K = 3
Output: 2
Explanation: The subarray {3, 2, 1} occurs twice in the array.
Input: arr = {100, 7, 6, 5, 4, 3, 2, 1, 100}, K = 6
Output: 1
方法:想法是遍历数组,并检查是否从当前索引开始是否存在所需的递减序列。请按照以下步骤解决问题:
- 初始化两个变量temp到K ,以检查模式,并使用0计数以存储匹配的子数组总数。
- 使用变量i遍历数组arr []并执行以下操作:
- 如果arr [i]等于temp并且temp的值为1 ,则将计数增加1并将temp更新为K。否则将温度递减1 。
- 否则,更新温度作为温度= K和如果ARR [i]是等于K,减1岛
- 完成上述步骤后,打印 结果的计数值。
下面是上述方法的实现:
C++
// C++ program for the above approach
#include
using namespace std;
// Function to count subarray having
// the decreasing sequence K to 1
int CountSubarray(int arr[], int n,
int k)
{
int temp = k, count = 0;
// Traverse the array
for (int i = 0; i < n; i++) {
// Check if required sequence
// is present or not
if (arr[i] == temp) {
if (temp == 1) {
count++;
temp = k;
}
else
temp--;
}
// Reset temp to k
else {
temp = k;
if (arr[i] == k)
i--;
}
}
// Return the count
return count;
}
// Driver Code
int main()
{
int arr[] = { 1, 2, 3, 7, 9, 3,
2, 1, 8, 3, 2, 1 };
int N = sizeof(arr) / sizeof(arr[0]);
int K = 3;
// Function Call
cout << CountSubarray(arr, N, K);
return 0;
}
// This code is contributed by Dharanendra L V
Java
// Java program for the above approach
import java.util.*;
class GFG
{
// Function to count subarray having
// the decreasing sequence K to 1
static int CountSubarray(int arr[], int n,
int k)
{
int temp = k, count = 0;
// Traverse the array
for (int i = 0; i < n; i++) {
// Check if required sequence
// is present or not
if (arr[i] == temp) {
if (temp == 1) {
count++;
temp = k;
}
else
temp--;
}
// Reset temp to k
else {
temp = k;
if (arr[i] == k)
i--;
}
}
// Return the count
return count;
}
// Driver code
public static void main(String[] args)
{
int arr[] = { 1, 2, 3, 7, 9, 3,
2, 1, 8, 3, 2, 1 };
int N = arr.length;
int K = 3;
// Function Call
System.out.println(CountSubarray(arr, N, K));
}
}
// This code is contributed by shivanisinghss2110
Python3
# Python3 program for the above approach
# Function to count subarray having
# the decreasing sequence K to 1
def CountSubarray(arr, n, k):
temp = k
count = 0
# Traverse the array
for i in range(n):
# Check if required sequence
# is present or not
if (arr[i] == temp):
if (temp == 1):
count += 1
temp = k
else:
temp -= 1
# Reset temp to k
else:
temp = k
if (arr[i] == k):
i -= 1
# Return the count
return count
# Driver Code
if __name__ == "__main__":
arr = [ 1, 2, 3, 7, 9, 3,
2, 1, 8, 3, 2, 1 ]
N = len(arr)
K = 3
# Function Call
print(CountSubarray(arr, N, K))
# This code is contributed by chitranayal
C#
// C# program for the above approach
using System;
class GFG{
// Function to count subarray having
// the decreasing sequence K to 1
static int CountSubarray(int[] arr,
int n, int k)
{
int temp = k, count = 0;
// Traverse the array
for(int i = 0; i < n; i++)
{
// Check if required sequence
// is present or not
if (arr[i] == temp)
{
if (temp == 1)
{
count++;
temp = k;
}
else
temp--;
}
// Reset temp to k
else
{
temp = k;
if (arr[i] == k)
i--;
}
}
// Return the count
return count;
}
// Driver code
static public void Main()
{
int[] arr = { 1, 2, 3, 7, 9, 3,
2, 1, 8, 3, 2, 1 };
int N = arr.Length;
int K = 3;
// Function Call
Console.Write(CountSubarray(arr, N, K));
}
}
// This code is contributed by Dharanendra L V
Javascript
输出:
2
时间复杂度: O(N)
辅助空间: O(N)