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.Linq;

class WithIndex<T>
{
    public T Value;
    public int Index;
    public WithIndex(T value, int index)
    {
        this.Value = value;
        this.Index = index;
    }
}

static class Template
{
    public static int LineToInt()
    {
        return int.Parse(Console.ReadLine());
    }

    public static string[] LineToStrings()
    {
        return Console.ReadLine().Split();
    }

    public static int[] LineToInts()
    {
        return LineToStrings()
            .Select(s => int.Parse(s))
            .ToArray();
    }


    public static int[,] LinesToIntTable(int lineCount, int columnCount)
    {
        var value = new int[lineCount, columnCount];
        foreach (var y in Enumerable.Range(0, lineCount))
        {
            var ints = LineToInts();
            foreach (var x in Enumerable.Range(0, columnCount))
            {
                value[y, x] = ints[x];
            }
        }
        return value;
    }

    public static IEnumerable<WithIndex<T>> WithIndex<T>(this IEnumerable<T> sequence)
    {
        int index = 0;
        foreach (var item in sequence)
        {
            yield return new WithIndex<T>(item, index);
            index++;
        }
    }

    static void Main(string[] args)
    {
        var num = LineToInt();
        var nums = new int[num];
        foreach (var i in Enumerable.Range(0, num))
        {
            nums[i] = LineToInt();
        }
        var ordered = nums.WithIndex().OrderBy(x => x.Value).ToArray();
        var max = ordered.Last();
        var secondMax = ordered[ordered.Length - 2];

        foreach(var i in Enumerable.Range(0, num))
        {
            if (i == max.Index)
            {
                Console.WriteLine(secondMax.Value);
            }
            else
            {
                Console.WriteLine(max.Value);
            }
        }
    }
}