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: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;

class Program
{
    static void Main()
    {
        var N = int.Parse(Console.ReadLine());
        var A = new List<int>();
        for (int i = 0; i < N; ++i)
            A.Add(int.Parse(Console.ReadLine()));
        var B = new List<int>(A);
        B.Remove(B.Max());

        if (A.Max() == B.Max())
            for (int i = 0; i < N; ++i)
                Console.WriteLine(A.Max());
        else
        {
            A.ForEach(delegate (int i)
            {
                if (A.Max() == i)
                {
                    var exce = new List<int>(A);
                    exce.Remove(i);
                    Console.WriteLine(exce.Max());
                }
                else
                {
                    Console.WriteLine(A.Max());
                }

            });

        }


    }

}