You are given a sequence of length N: A_1, A_2, ..., A_N. For each integer i between 1 and N (inclusive), answer the following question:

* Find the maximum value among the N-1 elements other than A_i in the sequence.

Constraints

* 2 \leq N \leq 200000
* 1 \leq A_i \leq 200000
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N
A_1
:
A_N


Output

Print N lines. The i-th line (1 \leq i \leq N) should contain the maximum value among the N-1 elements other than A_i in the sequence.

Examples

Input

3
1
4
3


Output

4
3
4


Input

2
5
5


Output

5
5
#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i = 0; i < n; i++)
const int mx = 200005;
int n, a[mx], ans, m, s;

int main(){
	scanf("%d", &n);
	rep(i,n){
		scanf("%d", a+i);
		if(a[i]>=m){
			s = m;
			m = a[i];
		}else if(a[i] > s) s = a[i];
	}
	rep(i,n) printf("%d\n",a[i]==m?s:m);
}