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;

namespace ConsoleApp6
{
    class Program
    {
        static void Main(string[] args)
        {
            int count = int.Parse(Console.ReadLine());
            List<Temp> array = new List<Temp>();
            for (int i = 0; i < count; i++)
            {
                array.Add(new Temp() { Index = i, Value = int.Parse(Console.ReadLine()) });
            }

            // 単純に1版大きいのは同じでそのindexの時だけ2番目が必要
            var groups = array.OrderByDescending(item => item.Value).GroupBy(item => item.Value);
            var indicies = groups.First().Select(group => group.Index);
            var first = groups.First().Key;

            int value = 0;
            for (int i = 0; i < count; i++)
            {
                if (indicies.Count() > 1)
                {
                    value = first;
                }
                else
                {
                    value = indicies.Contains(i) ? groups.ElementAt(1).Key : first;
                }
                Console.WriteLine(value);
            }
        }
    }
    struct Temp { public int Index { get; set; } public int Value { get; set; } }
}