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.ArrayList;
import java.util.List;
import java.util.Scanner;

//AtCoder Beginner Contest 134
//C	Exception Handling
public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		List<Integer> aList = new ArrayList<>();
		for (int i = 0; i < N; i++) {
			aList.add(sc.nextInt());
		}
		sc.close();

		int max1 = 0;
		int max2 = 0;
		for (Integer a : aList) {
			
			if (max1 < a) {
				max1 = a;
			} else {
				if (max2 < a) {
					max2 = a;
				}
			}
		}

		for (Integer a : aList) {
			if (a == max1) {
				System.out.println(max2);
			} else {
				System.out.println(max1);
			}
		}
	}
}
