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 max_first = 0;
    int max_second = 0;
    int[] a = new int[n];
    for(int i=0; i<n; ++i){
      a[i] = sc.nextInt();
      if(max_first<=a[i]) {
        max_second=max_first;
        max_first=a[i];
      }
      if(max_first>a[i] && max_second<=a[i]) {
        max_second=a[i];
      }
    }
    for(int ii:a) {
      if(ii!=max_first)
        System.out.println(max_first);
      else if(ii!=0)
        System.out.println(max_second);
    }
  }
}