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.Collections.Generic;
using System.Linq;

namespace Welcome_to_AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var n = int.Parse(Console.ReadLine());
            var array = new int[n];
            for (int i = 0; i < n; i++)
            {
                array[i] = int.Parse(Console.ReadLine());
            }

            var maxValue = array.Max();
            var secondValue = array.OrderByDescending(_ => _).Skip(1).First();
            var hasMultipleMaxValue = maxValue == secondValue;

            foreach (var item in array)
            {
                if (item == maxValue)
                {
                    if (hasMultipleMaxValue)
                    {
                        Console.WriteLine(maxValue);
                    }
                    else
                    {
                        Console.WriteLine(secondValue);
                    }
                }
                else
                {
                    Console.WriteLine(maxValue);
                }
            }
        }
    }
}