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.Text;
using System.Collections.Generic;
using System.ComponentModel;
using System.Linq;
using System.Threading.Tasks;
using System.IO;

class Solve
{
	const int mod = 1000000007;
	static void Main(string[] args)
	{
		var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
		Console.SetOut(sw);

		int N = int.Parse(Console.ReadLine());
		int[] A = new int[N];
		int[] Acopy = new int[N];
		int Max = 0;
		int index = -1;
		for (var i = 0; i < N; i++)
		{

			A[i] = int.Parse(Console.ReadLine());
			Acopy[i] = A[i];
			if (A[i] > Max)
			{
				Max = A[i];
				index = i;

			}
		}
		Array.Sort(Acopy);

		for (var i = 0; i < N; i++)
		{
			if (i == index)
			{
				Console.WriteLine(Acopy[N - 2]);
			}
			else { Console.WriteLine(Max); }
		}

		Console.Out.Flush();
	}
}