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.*;
public class Main{
  public static void main(String args[]){
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    int[] a = new int[n];
    int cnt = 0;
    int max = 0;
    int next = 0;
    int maxi = 0;
    while(cnt<n){
      a[cnt] = sc.nextInt();
      if(a[cnt]>next){
        next = a[cnt];
        if(a[cnt]>max){
          next = max;
          max = a[cnt];
          maxi = cnt;
        }
      }
      cnt++;
    }
    cnt = 0;
    while(cnt<n){
      if(cnt!=maxi){
         System.out.println(max);
      }else{
         System.out.println(next);
      }
      cnt++;
    }
  } 
}