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: Accepted)

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

namespace abc134_c
{
    class Program
    {
        static void Main(string[] args)
        {
            
            var N = int.Parse(Console.ReadLine());
            var A = new List<int>();
            var AD = new SortedDictionary<int, List<int>>();

            for (int i = 0; i < N; i++)
            {
                int a = int.Parse(Console.ReadLine());
                A.Add(a);

                if (!AD.ContainsKey(a)) AD.Add(a, new List<int>());               
                AD[a].Add(i);
            }
            
            var amax = AD.Keys.Last();
            var imax = AD[amax];

            foreach (var ai in A)
                if (ai == amax && imax.Count > 1)
                    // 自身が最大値だが他にもいる
                    Console.WriteLine(ai);
                else if (ai == amax && imax.Count == 1)
                    // 自身が唯一の最大値→次の最大値
                    Console.WriteLine(AD.Keys.ToList()[AD.Keys.Count() - 2]);
                else
                    Console.WriteLine(amax);
        }

    }
}