Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

3
1
4
3

Sample Output 1

4
3
4

The maximum value among the two elements other than A_1, that is, A_2 = 4 and A_3 = 3, is 4.

The maximum value among the two elements other than A_2, that is, A_1 = 1 and A_3 = 3, is 3.

The maximum value among the two elements other than A_3, that is, A_1 = 1 and A_2 = 4, is 4.

Sample Input 2

2
5
5

Sample Output 2

5
5

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;
 
public class Main{
	public static void main(String[] args){
    	Scanner scan = new Scanner(System.in);
      	int n = scan.nextInt();
      	int[] a = new int[n];
      	int dp = 0;
      	int dp1 = 0;
     	int[] b = new int[n];
      	for(int i = 0; i < n; i ++){
        	a[i] = scan.nextInt();
          	b[i] = a[i];
        }
      	scan.close();
      	Arrays.sort(a);
      	dp = a[n-1];
      	dp1 = a[n-2];
      	
      	for(int i = 0; i < n; i ++){
          	if(b[i] == dp){
            	System.out.println(dp1);
            }
          	else{
            	System.out.println(dp);
            }
        }
    }	
}