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  • D

    Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.

    A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.

    Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.

    Input
    The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.

    The second line contains n integers separated by space, a1, a2, …, an (1 ≤ ai ≤ 109), heights of bears.

    Output
    Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.

    Examples
    Input
    10
    1 2 3 4 5 4 3 2 1 6
    Output
    6 4 4 3 3 2 2 1 1 1

    题意:1~n长度区间求最小值的最大值
    思路:单调栈求解,留个坑,以后补吧。

    #include <bits/stdc++.h>//炒鸡恶心的单调栈也是我的第一道单调栈
    
    using namespace std;
    
    const int N = 2e5 + 5;
    
    struct node
    {
        int num,width;
        node(){}
        node(int _num,int _width):num(_num),width(_width){}
    };
    stack<node>S;
    int a[N],ans[N];
    
    int main()
    {
        int n;
        cin>>n;
        for(int i = 0;i < n;i++)
            cin>>a[i];
        a[n++] = 0;
        memset(ans,0,sizeof(ans));
        for(int i = 0;i < n;i++)
        {
            int len = 0;
            node k;
            while(!S.empty())
            {
                k = S.top();
                if(k.num < a[i])
                {
                    break;
                }
                int ls = k.width + len;
                if(k.num > ans[ls])
                {
                    ans[ls] = k.num;
                }
                len += k.width;
                S.pop();
            }
            S.push(node(a[i],len + 1));
        }
        for(int i = n - 1;i >= 1;i--)
        {
            ans[i] = max(ans[i],ans[i + 1]);
        }
        printf("%d",ans[1]);
        for(int i = 2;i < n;i++)
        {
            printf(" %d",ans[i]);
        }
        printf("
    ");
        return 0;
    }
    
    
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  • 原文地址:https://www.cnblogs.com/tomjobs/p/10617585.html
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