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>
#define rep(i,n) for (int i = 0; i< (n); i++)
using ll = long long;
using namespace std;

int main(){
	int N;
	cin >> N;
	int A[N], B[N];
	rep(i,N){
		cin >> A[i];
		B[i] = A[i];
	}
	sort(B,B+N);
	rep(i,N) {
		if (A[i] == B[N-1]) cout << B[N-2] << endl;
		else cout << B[N-1] << endl;
	}

	return 0;
}
