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;

class Main{
  public static void main(String[] args){
    Scanner scan=new Scanner(System.in);
    int num=scan.nextInt();
    int max=0, maxnum=0;
    int max2=0;
    for(int x=0; x<num; x++){
      int in=scan.nextInt();
      if(max<=in && max2<=in && max!=in){
        max=in;
        maxnum=x;
      }else if(max>=in && max2<=in){
        max2=in;
      }
    }
    for(int x=0; x<num; x++){
      if(maxnum!=x){
        System.out.println(max);
      }else{
        System.out.println(max2);
      }
    }
  }
}