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;

public class AtCoderC
{
    static void Main()
    {
        int n = int.Parse(Console.ReadLine());

        int[] nums1 = new int[n];
        int[] nums2 = new int[n];
        {
            for (int i = 0; i < n; i++)
            {
                int num = int.Parse(Console.ReadLine());
                nums1[i] = num;
                nums2[i] = num;
            }
        }

        Array.Sort(nums2);

        int max = nums2[n - 1];
        int max2 = nums2[n - 2];

        for (int i = 0; i < n; i++)
        {
            int num = nums1[i];
            Console.WriteLine(num == max ? max2 : max);
        }
    }
}