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;

namespace C
{
    class Program
    {
        static void Main(string[] args)
        {
            int N = Convert.ToInt32(Console.ReadLine());
            int[] A = new int[N];
            int max = 0;
            int nextMax = 0;
            int pos = 0;
            for (var i = 0; i < N; i++)
            {
                A[i] = Convert.ToInt32(Console.ReadLine());
                if (max < A[i])
                {
                    nextMax = max;
                    max = A[i];
                    pos = i;
                } else if (nextMax < A[i])
                {
                    nextMax = A[i];
                }
            }
            for (var i = 0; i < N; i++)
            {
                if (i == pos)
                {
                    Console.WriteLine(nextMax);
                } else
                {
                    Console.WriteLine(max);
                }
            }

        }
    }
}