Sliding Window
| Time Limit: 12000MS | Memory Limit: 65536K | |
| Total Submissions: 49919 | Accepted: 14391 | |
| 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 题意：模拟滑动窗口，每k个数，输出最大值最小值单调队列：从这里学来的http://m.blog.csdn.net/blog/lx417147512/24916441
1 #include <iostream>
2 #include <cstdio>
3 #include <cstring>
4 #include <algorithm>
5 #include <string.h>
6 using namespace std;
7 const int N = 10000000 + 10;
8 int num[N],Max[N],Min[N],Increase[N],Decrease[N];
9 int pre1,pre2,lst1,lst2,len_max,len_min,n,k;
10 void in_Max(int i)
11 {
12 while(pre1 <= lst1 && num[i] > num[ Increase[lst1] ])
13 lst1--;
14 Increase[++lst1] = i;
15 if(i >= k)
16 {
17 if(Increase[pre1] <= i - k)
18 pre1++;
19 Max[len_max++] = num[ Increase[pre1] ];
20 }
21 }
22 void in_Min(int i)
23 {
24 while(pre2 <= lst2 && num[i] < num[ Decrease[lst2] ])
25 lst2--;
26 Decrease[++lst2] = i;
27 if(i >= k)
28 {
29 if(Decrease[pre2] <= i - k)
30 pre2++;
31 Min[len_min++] = num[ Decrease[pre2] ];
32 }
33 }
34 int main()
35 {
36 while(scanf("%d%d", &n,&k) != EOF)
37 {
38 pre1 = pre2 = len_max = len_min = 0;
39 lst1 = lst2 = -1; //注意这个要设成-1
40 for(int i = 1; i <= n; i++)
41 {
42 scanf("%d",&num[i]);
43 in_Max(i);
44 in_Min(i);
45 }
46 printf("%d",Min[0]);
47 for(int i = 1; i < len_min; i++)
48 printf(" %d",Min[i]);
49 printf("\n");
50 printf("%d",Max[0]);
51 for(int i = 1; i < len_max; i++)
52 printf(" %d",Max[i]);
53 printf("\n");
54 }
55 return 0;
56 }