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[] aargs){
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        Integer[] A = new Integer[N];
        for(int i=0;i<N;i++){
            A[i] = sc.nextInt();
        }
        Integer B[] = A.clone();
        Arrays.sort(A,Collections.reverseOrder());
        for(int i=0;i<N;i++){
            if(B[i]!=A[0]){
                System.out.println(A[0]);
            }
            else{
                System.out.println(A[1]);
            }
        }
    }
}