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.Linq;
using System.Collections.Generic;

class Program
{
    public static void Main()
    {


        var N = int.Parse(Console.ReadLine());

        List<int> list = new List<int>();

        for (int i = 0; i < N; i++)
        {
            var line = int.Parse(Console.ReadLine());
            list.Add(line); 
        }

        int max = list.Max();
        List<int> ansList = new List<int>();

        for (int i = 0; i < N; i++)
        {
            if(list[i] == max)
            {
                List<int> list2 = new List<int>(list);
                list2.Remove(list2[i]);
                ansList.Add(list2.Max());
            }
            else
            {
                ansList.Add(max);
            }
        }

        string ans = "";
        for (int i = 0; i < N; i++)
        {
            if (i != N - 1)
            {
                ans = ans + ansList[i] + "\r\n";
            }
            else
            {
                ans = ans + ansList[i];
            }
        }

            Console.WriteLine(ans);

    }
}