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;
const int M=2e5+5;

int n;
int A[M];

int main(){
	scanf("%d",&n);
	int fir=0,sec=0;
	for(int i=1;i<=n;i++){
		int &x=A[i];scanf("%d",&x);
		if(x>fir)sec=fir,fir=x;
		else if(x>sec)sec=x;
	}
	for(int i=1;i<=n;i++)printf("%d\n",A[i]==fir?sec:fir);
	return 0;
}