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  • poj 2823 Sliding Window 题解

    Sliding Window
    Time Limit: 12000MS   Memory Limit: 65536K
    Total Submissions: 53037   Accepted: 15207
    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
    

    Source

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    ————————————————————————我是分割线————————————————————————————————

    单调队列模板题。

    维护两个单调队列,一个单调增,一个单调减。

     1 #include<iostream>
     2 #include<cstdio>
     3 #include<cstring>
     4 #include<cmath>
     5 #include<algorithm>
     6 #include<queue>
     7 #include<cstdlib>
     8 #include<iomanip>
     9 #include<cassert>
    10 #include<climits>
    11 #define maxn 1000001
    12 #define F(i,j,k) for(int i=j;i<=k;i++)
    13 #define M(a,b) memset(a,b,sizeof(a))
    14 #define FF(i,j,k) for(int i=j;i>=k;i--)
    15 #define inf 0x7fffffff
    16 using namespace std;
    17 int read(){
    18     int x=0,f=1;char ch=getchar();
    19     while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    20     while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
    21     return x*f;
    22 }
    23 int a[maxn],q1[maxn],q2[maxn];
    24 int main()
    25 {
    26     std::ios::sync_with_stdio(false);//cout<<setiosflags(ios::fixed)<<setprecision(1)<<y;
    27     #ifdef LOCAL
    28     freopen("data.in","r",stdin);
    29     freopen("data.out","w",stdout);
    30     #endif
    31     int n,m,k;
    32     cin>>n>>k;
    33     F(i,1,n)
    34     {
    35         cin>>a[i];
    36     }
    37     int head=1,tail=0;
    38     F(i,1,n)
    39     {
    40         while(head<=tail&&a[i]<=a[q1[tail]]) tail--;
    41         q1[++tail]=i;
    42         while(head<=tail&&q1[tail]-q1[head]>=k) head++;
    43         if(i>=k) cout<<a[q1[head]]<<" ";
    44     }
    45     cout<<endl;
    46     head=1,tail=0;
    47     F(i,1,n)
    48     {
    49         while(head<=tail&&a[i]>=a[q2[tail]]) tail--;
    50         q2[++tail]=i;
    51         while(head<=tail&&q2[tail]-q2[head]>=k) head++;
    52         if(i>=k) cout<<a[q2[head]]<<" ";
    53     }
    54     return 0;
    55 }
    poj 2823
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  • 原文地址:https://www.cnblogs.com/SBSOI/p/5646323.html
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