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.Text;
using System.Numerics;
using System.IO;


namespace SolutionCS
{
    class Program
    {
        static void Main(string[] args)
        {
            int N = int.Parse(Console.ReadLine());

            int[] v = new int[N];
            int max0 = int.MinValue;
            int max1 = int.MinValue;

            for (int i = 0; i < N; i++)
            {
                v[i] = int.Parse(Console.ReadLine());

                if ( v[i] >= max0)
                {
                    max1 = max0;
                    max0 = v[i];
                }
                else if ( v[i] >= max1)
                {
                    max1 = v[i];
                }
            }

            for (int i = 0; i < N; i++)
            {
                if ( v[i] == max0)
                {
                    Console.WriteLine(max1);
                }
                else
                {
                    Console.WriteLine(max0);
                }
            }
        }
    }
}