Codeforces Round #305 (Div. 2) D. Mike and Feet 单调栈
2017-04-03 12:02
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[b]D. Mike and Feet[/b]
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
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.
![](http://codeforces.com/predownloaded/6f/7e/6f7e66d850f92c139c12ec4834025f60d1a6a4b7.png)
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
output
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
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.
![](http://codeforces.com/predownloaded/6f/7e/6f7e66d850f92c139c12ec4834025f60d1a6a4b7.png)
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
#pragma comment(linker, "/STACK:1024000000,1024000000") #include<iostream> #include<cstdio> #include<cmath> #include<string> #include<queue> #include<algorithm> #include<stack> #include<cstring> #include<vector> #include<list> #include<set> #include<map> using namespace std; #define ll long long #define pi (4*atan(1.0)) #define eps 1e-14 #define bug(x) cout<<"bug"<<x<<endl; const int N=2e5+10,M=1e6+10,inf=2147483647; const ll INF=1e18+10,mod=1e9+7; /// 数组大小 int a ,ans ; int l ,r ,s ; int main() { int n; scanf("%d",&n); for(int i=1;i<=n;i++) scanf("%d",&a[i]); int st=0; s[++st]=0; for(int i=1;i<=n;i++) { while(a[s[st]]>=a[i])st--; l[i]=s[st]; s[++st]=i; } st=0; s[++st]=n+1; for(int i=n;i>=1;i--) { while(a[s[st]]>=a[i])st--; r[i]=s[st]; s[++st]=i; } for(int i=1;i<=n;i++) { int len=r[i]-l[i]-1; ans[len]=max(ans[len],a[i]); } for(int i=n;i>=1;i--) ans[i]=max(ans[i],ans[i+1]); for(int i=1;i<=n;i++) printf("%d ",ans[i]); return 0; }
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