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
import java.util.Scanner;

public class Main{
	public static void main(String[]args){
		Scanner sc=new Scanner(System.in);

		int n=sc.nextInt();
		int a[]=new int[n];

		for(int i=0;i<n;i++){
			a[i]=sc.nextInt();
		}

		int max=0;
		int num=0;
		int nextMax=0;

		for(int i=0;i<n;i++){
			if(a[i]>max){
				max=a[i];
				num=i;
			}
		}

		for(int i=0;i<n;i++){
			if(a[i]>nextMax && i!=num){
				nextMax=a[i];
			}
		}

		for(int i=0;i<n;i++){
			if(i==num){
				System.out.println(nextMax);
			}else{
				System.out.println(max);
			}
		}


	}



}
