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  • poj 2823 Sliding Window

    Sliding Window
    Time Limit: 12000MS   Memory Limit: 65536K
    Total Submissions: 67208   Accepted: 19082
    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 positionMinimum valueMaximum 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:求滑动块中最大最小值
    思路:单调队列
    AC代码:
    #define _CRT_SECURE_NO_DEPRECATE
    #include<iostream>
    #include<algorithm>
    #include<vector>
    #include<cstring>
    #include<string>
    #include<cmath>
    using namespace std;
    #define INF 0x3f3f3f3f
    #define N_MAX 1000000+20
    typedef long long ll;
    int n, k;
    int a[N_MAX],deq[N_MAX],Min[N_MAX],Max[N_MAX];
    
    int main() {
        while (scanf("%d%d",&n,&k)!=EOF) {
            for (int i = 0; i < n; i++)
                scanf("%d",&a[i]);
            int s = 0, t = 0;
            for (int i = 0; i < n;i++) {
                while (s < t&&a[deq[t - 1]] >= a[i])t--;
                deq[t++] = i;
                if (i - k + 1 >= 0) {
                    Min[i - k + 1] = a[deq[s]];
                    if (deq[s] == i - k + 1)
                        s++;
                }
            }
             s = 0, t = 0;
             for (int i = 0; i < n;i++) {
                 while (s < t&&a[deq[t - 1]] <= a[i])t--;
                 deq[t++] = i;
                 if (i - k + 1 >= 0) {
                     Max[i - k + 1] = a[deq[s]];
                     if (deq[s] == i - k + 1)s++;
                 }
             }
            for (int i = 0; i <= n-k; i++)
                printf("%d%c",Min[i],i==n-k?'
    ':' ');
            for (int i = 0; i <= n-k; i++)
                printf("%d%c", Max[i], i== n-k ? '
    ' : ' ');
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/ZefengYao/p/9031902.html
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