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;
//using ProCon.Util;

namespace ProCon
{
    class Program
    {
        static void Main(string[] args)
        {
            AC134C();
        }

        static void AC134C()
        {
            //https://atcoder.jp/contests/abc135/tasks

            var N = int.Parse(Console.ReadLine());
            int maxNum = 0, maxNumIndex = 0, maxNumCount = 0, nextNum = 0;


            for (int i = 0; i < N; i ++ )
            {
                var a = int.Parse(Console.ReadLine());
                if(a > maxNum)
                {
                    nextNum = maxNum;
                    maxNum = a;
                    maxNumCount = 1;
                    maxNumIndex = i;
                }
                else if ( a == maxNum)
                {
                    maxNumCount++;
                    nextNum = a;
                }
                else if (maxNum > a && a >= nextNum)
                {
                    nextNum = a;
                }
            }

            if(maxNumCount > 1)
            {
                for(int i = 0; i < N; i++)
                {
                    Console.WriteLine(maxNum);
                }
            }
            else
            {
                for (int i = 0; i < N; i++)
                {
                    if (i == maxNumIndex)
                    {
                        Console.WriteLine(nextNum);
                    }
                    else
                    {
                        Console.WriteLine(maxNum);
                    }
                }
            }

            //Console.WriteLine();
            //Console.ReadKey();
        }

    }
}