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.*;
import java.util.TreeMap;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int N = sc.nextInt();
    ArrayList<Integer> list = new ArrayList<Integer>();
    for (int i = 0; i < N; i++) {
      list.add(sc.nextInt());
    }
    ArrayList<Integer> list1 = new ArrayList<>(list);
    Collections.sort(list1, Collections.reverseOrder());
    int first = list1.get(0);
    int second = list1.get(1);
    for (int i = 0; i < N; i++) {
      if (list.get(i) < first) {
        System.out.println(first);
      } else {
        System.out.println(second);
      }
    }
  }
}
