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: Wrong Answer)

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

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {

            string input = Console.ReadLine();
            int N = int.Parse(input);
            int[] ary = new int[N];

            for(int i = 0; i < N; i ++ )
            {
                input = Console.ReadLine();
                int tmp = int.Parse(input);

                if (i == 0)
                {
                    ary[i] = tmp;
                }
                else if (i == 1)
                {
                    ary[i] = ary[0];
                } else
                {
                    ary[i] = ary[i - 1] < ary[i - 2] ? ary[i - 2] : ary[i - 1];
                }

                for(int j = 0; j < i; j++ )
                {
                    if(ary[j] < tmp)
                    {
                        ary[j] = tmp;
                    }
                }
            }


            for(int i = 0; i < N; i++ )
            {
                Console.WriteLine(ary[i]);
            }


            return;
        }



    }
}