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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;

public class Test
{
	public static void Main()
	{
		// your code goes here
		
		int n = int.Parse(Console.ReadLine());
		int[] a = new int[n];
		int[] copy = new int[n];
		for(int i=0; i!=n; i++){
			a[i] = int.Parse(Console.ReadLine());
			copy[i] = a[i]; 
		}
		Array.Sort(copy);
		int max = copy[n-1];
		int second = copy[n-2];
		for(int j=0; j!=n; j++){
			if(a[j]==max){
				Console.WriteLine(second);
			}else{
				Console.WriteLine(max);
			}
		}
		
	}
}