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.Linq;
using System.Numerics;

class AtCoder
{
    const int MOD = 1000000007;
    public void Slove()
    {
        var n = int.Parse(Console.ReadLine());
        var maxIndex = -1;
        var max = 0;
        var max2 = 0;
        var data = Enumerable.Range(0, n )
            .Select(x => Console.ReadLine())
            .Select(int.Parse)
            .ToArray();
        foreach(var i in data.Select((x, index) => index))
        {
            if(data[i] >= max)
            {
                max2 = max;
                max = data[i];
                maxIndex = i;
            }
            else if(data[i] > max2)
                max2 = data[i];

        }
        foreach (var i in data.Select((x, index) => index))
        {
            Console.WriteLine(i == maxIndex ? max2 : max);
        }
    }
    static void Main()
    {
        var ac = new AtCoder();
        ac.Slove();
    }
}