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.Arrays;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		Integer[][] A = new Integer[N][2];
		for (int i = 0; i < A.length; i++) {
			A[i][0] = sc.nextInt();
			A[i][1] = i;
		}
		Arrays.sort(A, (x, y) -> {
			if (x[0].compareTo(y[0]) > 0) {
				return 1;
			} else if (x[0].compareTo(y[0]) < 0) {
				return -1;
			} else {
				return 0;
			}
		});
		for (int i = 0; i < A.length; i++) {
			if (i != A[A.length - 1][1]) {
				System.out.println(A[A.length - 1][0]);
			} else {
				System.out.println(A[A.length - 2][0]);
			}
		}
		sc.close();
	}
}