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.IO;
using System.Linq;
using System.Collections.Generic;
using System.Text;
using System.Text.RegularExpressions;
using System.Threading;
using static System.Math;
using Debug = System.Diagnostics.Debug;

static class P
{
    static void Main()
    {
        var n = int.Parse(Console.ReadLine());
        var a = Enumerable.Repeat(0, n).Select(_ => int.Parse(Console.ReadLine())).ToArray();
        var accum = new int[1 + a.Length];
        var accumBack = new int[1 + a.Length];
        for (int i = 0; i < a.Length; i++)
        {
            accum[i + 1] = Max(accum[i], a[i]);
        }
        for (int i = a.Length - 1; i >= 0; i--)
        {
            accumBack[i] = Max(accumBack[i + 1], a[i]);
        }
        for (int i = 0; i < n; i++)
        {
            Console.WriteLine(Max(accum[i], accumBack[i + 1]));
        }
    }
}