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;

class Program
{
    static void Main(string[] args)
    {
        int N = GetInputInt();

        int max = 0;
        int maxi = 0;
        int max2 = 0;

        int[] A = new int[N];

        A[0] = GetInputInt();
        A[1] = GetInputInt();

        if(A[0] >= A[1])
        {
            max = A[0];
            max2 = A[1];
        }
        else 
        {
            max = A[1];
            max2 = A[0];
            maxi = 1;
        }

        for (int i = 2; i < N; i++)
        {
            A[i] = GetInputInt();
            if(A[i] >= max2)
            {
                if(A[i] >= max)
                {
                    max2 = max;
                    max = A[i];
                    maxi = i;
                }
                else
                {
                    max2 = A[i];
                }
            }
        }

        for (int i = 0; i < N; i++)
        {
            if (maxi == i)
            {
                Console.WriteLine(max2);
            }
            else
            {
                Console.WriteLine(max);
            }
        }
        Console.ReadKey();
    }

    public static int GetInputInt()
    {
        return int.Parse(Console.ReadLine());
    }
    public static int[] GetInputsInt()
    {
        return Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
    }
    public static List<int> GetInputsIntList()
    {
        return Console.ReadLine().Split(' ').Select(int.Parse).ToList();
    }
    public static long[] GetInputsLong()
    {
        return Console.ReadLine().Split(' ').Select(long.Parse).ToArray();
    }

}