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.io.*;
import java.util.*;
public class Main {
    public static void main(String[] args) throws IOException{
        Scanner sc = new Scanner(System.in);
        int N =sc.nextInt();
        ArrayList<Integer> List = new ArrayList<>();
        int max=0,max2 =0;
        for(int i=0;i<N;i++) {
            int num = sc.nextInt();
            List.add(num);
            if(max<num) max=num;
            else if(max==num) max2=num;
            else if(max>num&&max2<=num) max2 =num;
        }
        for(int i=0;i<N;i++){
            if(List.get(i)==max)System.out.println(max2);
            else System.out.println(max);
        }
    }
}