POJ2823 ·Sliding Window

Sliding Window

Time Limit: 12000MS		Memory Limit: 65536K

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

又刷水题了T^T..果果的单调队列。。或者别的数据结构乱搞。。不过线段树什么的能不能过我就不晓得了。。

 1 #include<set>
 2 #include<queue>
 3 #include<cstdio>
 4 #include<cstdlib>
 5 #include<cstring>
 6 #include<iostream>
 7 #include<algorithm>
 8 using namespace std;
 9 const int N = 1000007;
10 #define For(i,n) for(int i=1;i<=n;i++)
11 #define Rep(i,l,r) for(int i=l;i<=r;i++)
12 
13 int n,Loc[N],k,Q[N],A[N]; 
14 
15 void Max(){    
16     int l = 1 ,r = 0;
17     For(i,k-1){
18         while(l<=r&&Q[r]<=A[i]) r--;
19         Q[++r]=A[i];Loc[r]=i;
20     }
21     Rep(i,k,n){
22         while(l<=r&&Q[r]<=A[i]) r--;
23         Q[++r]=A[i];Loc[r]=i;
24         while(Loc[l]<=i-k) l++;                    
25         if(k==n)  printf("%d
",Q[l]);
26         else      printf("%d ",Q[l]);
27     } 
28 }
29 
30 void Min(){
31     int l = 1 ,r = 0;
32     For(i,k-1){
33         while(l<=r&&Q[r]>=A[i]) r--;
34         Q[++r]=A[i];Loc[r]=i;
35     }
36     Rep(i,k,n){
37         while(l<=r&&Q[r]>=A[i]) r--;
38         Q[++r]=A[i];Loc[r]=i;
39         while(Loc[l]<=i-k) l++;                   
40         if(k==n)  printf("%d
",Q[l]);
41         else      printf("%d ",Q[l]);
42     } 
43     puts("");
44 }
45 
46 int main(){
47     scanf("%d%d",&n,&k);
48     For(i,n) scanf("%d",&A[i]);
49     Min();Max();
50     return 0;
51 }