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;
}