POJ 2823Sliding Window(单调队列水题)
2013-11-03 00:45
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Sliding Window
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.
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
Sample Output
题目意思就不多说了,直接用单调队列,自己没写输入优化时间还少一点,不过都需要好5s+。单调队列模板题目,纯属娱乐。。预祝明天8086能在南京现场赛上取得好成绩,fighting!!!!
题目地址:Sliding Window
AC代码:
Time Limit: 12000MS | Memory Limit: 65536K | |
Total Submissions: 33362 | Accepted: 9918 | |
Case Time Limit: 5000MS |
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 |
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
题目意思就不多说了,直接用单调队列,自己没写输入优化时间还少一点,不过都需要好5s+。单调队列模板题目,纯属娱乐。。预祝明天8086能在南京现场赛上取得好成绩,fighting!!!!
题目地址:Sliding Window
AC代码:
#include<iostream>
#include<cstdio>
using namespace std;
struct node
{
int num;
int i;
}q1[1000006],q2[1000006];
int res1[1000006],res2[1000006];
int getint()
{
int ans=0;
int flag=0;
char ch=getchar();
while(ch<'0'||ch>'9'||ch=='-')
{
if(ch=='-') flag=1;
ch=getchar();
}
while(ch>='0'&&ch<='9')
{
ans=ans*10+(ch-'0');
ch=getchar();
}
if(flag) ans=-ans;
return ans;
}
int main()
{
int n,k,i;
while(cin>>n>>k)
{
int top1,top2,tail1,tail2;
top1=top2=tail1=tail2=0;
int p;
for(i=0;i<n;i++)
{
//p=getint();
scanf("%d",&p);
while(top1<tail1&&q1[tail1-1].num<p) tail1--;
q1[tail1].i=i,q1[tail1++].num=p;
while(i-q1[top1].i>=k) top1++;
while(top2<tail2&&q2[tail2-1].num>p) tail2--;
q2[tail2].i=i,q2[tail2++].num=p;
while(i-q2[top2].i>=k) top2++;
if(i>=k-1) res1[i-k+1]=q1[top1].num,res2[i-k+1]=q2[top2].num;
}
printf("%d",res2[0]);
for(i=1;i<=n-k;i++)
printf(" %d",res2[i]);
printf("\n%d",res1[0]);
for(i=1;i<=n-k;i++)
printf(" %d",res1[i]);
printf("\n");
}
return 0;
}
/*
8 3
-1 2 3 1 3 5 6 7
8 3 1 3 -1 -3 5 3 6 7*/
//5344MS 未读入优化
//7079MS 优化输入之后。。。
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