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.Linq;
using System.Collections.Generic;
using System.Text;
using static System.Console;
using static System.Math;

class Program
{
    static void Main(string[] args)
    {
        solve();
    }
    static int N;
    static int[] A;
    static void input()
    {
        N = int.Parse(ReadLine());
        A = new int[N];
        for(int i = 0; i < N; i++)
        {
            A[i] = int.Parse(ReadLine());
        }
    }
    static void solve()
    {
        input();
        int max = 0;
        int subMax = 0;
        int maxIndex = 0;

        for (int i = 0; i < N; i++)
        {
            if(A[i] >= max)
            {
                subMax = max;
                max = A[i];
                maxIndex = i;
            }
            else
            {
                subMax = Max(A[i], subMax);
            }
        }

        for(int i = 0; i < N; i++)
        {
            if (maxIndex == i)
                WriteLine(subMax);
            else
                WriteLine(max);
        }
    }
}