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.Diagnostics;
using System.Linq;

namespace AtCoder
{
    public static class Program
    {
        static void Main()
        {
            var N = int.Parse(Console.ReadLine());
            var array = new int[N];
            var top = 0;
            var second = 0;
            foreach (var i in Enumerable.Range(0, N))
            {
                var v = int.Parse(Console.ReadLine());
                array[i] = v;
                if (v > top)
                {
                    second = top;
                    top = v;
                    continue;
                }
                second = Math.Max(second, v);
            }
            for (int i = 0; i < array.Length; i++)
            {
                if (array[i] == top)
                {
                    Console.WriteLine(second);
                    continue;
                }
                Console.WriteLine(top);
            }
        }
    }
}