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[] A = new int[N];
		for ( int n = 0 ; n < N ; n++ ) {
			A[n] = sc.nextInt();
		}

		int first = 0;
		int second = 0;
		for ( int i = 0 ; i < N ; i++ ) {
			if ( first <= A[i] ) {
				second = first;
				first = A[i];
			} else if ( second <= A[i]) {
				second = A[i];
			}
		}

		StringBuffer ans = new StringBuffer();
		for ( int i = 0 ; i < N ; i++ ) {
			if ( A[i] == first ) {
				ans.append(second);
			} else {
				ans.append(first);
			}
			ans.append("\n");
		}
		System.out.println(ans.toString());
	}
}
