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 max = 0;
		    int max_num =0;
		    int max2 = 0;
		    int n = sc.nextInt();
		    for(int i=0; i<n; i++) {
		    	int a = sc.nextInt();
		    	if(a>max) {
		    		max = a;
		    		max_num = i;
		    	}else {
		    		if(a>=max2) {
		    			max2 = a;
		    		}
		    	}
		    }
		    for(int i=0; i<n; i++) {
		    	if(i==max_num) {
		    		System.out.println(max2);
		    	}else {
		    		System.out.println(max);
		    	}
		    }
		    sc.close();

	}
}