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;

namespace Atcoder_program_test_Csharp
{
    class Program
    {
        static void Main(string[] args)
        {
            int N,A, Temporary_out,Temporary_A;
            int counter;
            int str_counter = 1;
            int i;
            N = int.Parse(Console.ReadLine());
            List<string> str = new List<string>();
            Temporary_out = N - 1;
            for (counter = 0;N > counter;counter++)
            {
                str.Add(Console.ReadLine());
            }


            for (i = 0;i < N; i++)
            {
                Temporary_out = 0;
                for (A = 0; A < N; A++)
                {
                    Temporary_A = int.Parse(str[A]);
                    if (i == A) { }
                    else
                    {
                        if (Temporary_out < Temporary_A)
                        {
                            Temporary_out = Temporary_A;
                        }
                    }
                }
                Console.WriteLine(Temporary_out);
                str_counter = 1;
            }
            Console.ReadKey();
        }
    }
}