POJ2823 Sliding Window【单调队列】

Sliding Window

Time Limit: 12000MS   Memory Limit: 65536K
Total Submissions: 76785   Accepted: 21745
Case Time Limit: 5000MS

Description

An array of size n ≤ 106 is given to you. There is a sliding window of size k which is moving from the very left of the array to the very right. You can only see the k numbers in the window. Each time the sliding window moves rightwards by one position. Following is an example: 
The array is [1 3 -1 -3 5 3 6 7], and k is 3.

Window position Minimum value Maximum value
[1  3  -1] -3  5  3  6  7  -1 3
 1 [3  -1  -3] 5  3  6  7  -3 3
 1  3 [-1  -3  5] 3  6  7  -3 5
 1  3  -1 [-3  5  3] 6  7  -3 5
 1  3  -1  -3 [5  3  6] 7  3 6
 1  3  -1  -3  5 [3  6  7] 3 7

Your task is to determine the maximum and minimum values in the sliding window at each position. 

Input

The input consists of two lines. The first line contains two integers n and k which are the lengths of the array and the sliding window. There are n integers in the second line. 

Output

There are two lines in the output. The first line gives the minimum values in the window at each position, from left to right, respectively. The second line gives the maximum values. 

Sample Input

8 3
1 3 -1 -3 5 3 6 7

Sample Output

-1 -3 -3 -3 3 3
3 3 5 5 6 7

Source

POJ Monthly--2006.04.28, Ikki

题意

给你一个长度为N的数组,一个长为K滑动的窗体从最左移至最右端,你只能见到窗口的K个数,每次窗体向右移动一位,你的任务是找出窗口在各位置时的最小值和最大值

思路

单调队列模板题

C++代码

#include
#define NOTMONO (ASC&&a[q[rear]]>a[i]||!ASC&&a[q[rear]]=k) printf("%d%c",a[q[front]],i==n?'\n':' ');
	}
} 

int main()
{
	while(~scanf("%d%d",&n,&k))
	{
		for(int i=1;i<=n;i++)
		  scanf("%d",&a[i]);
		solve(true);//求最小值 
		solve(false);//求最大值 
	}
	return 0;
}

 

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