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.*;

class Main{
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        int num = sc.nextInt();

        int[] nums = new int[num];
        int max = 0;
        int second = 0;
        for(int i = 0; i < num; i++){
            nums[i] = sc.nextInt();
            if(nums[i] >= max){
                second = max;
                max = nums[i];
            }else if(nums[i] > second){
                second = nums[i];
            }
        }

        int ans;
        for(int i = 0; i < num; i++){
            if(nums[i] == max)ans = second;
            else ans = max;
            System.out.println(ans);
        }

    }
}