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;//リストの使用
using System.Collections.Generic;
using System.Text;//テキストの高速出力に必要
class Program
{
	static void Main()
	{
		int n = int.Parse(Console.ReadLine());
		long[][] nums = new long[n][];
    for(int i = 0; i < n; i++)
    {
      nums[i] = new long[2];
      nums[i][0] = long.Parse(Console.ReadLine());
      nums[i][1] = i;
    }
    Array.Sort(nums, (a, b) => b[0].CompareTo(a[0]));
    long[] answers = new long[n];

    for(int i = 0; i < n; i++)
    {
      if(i != nums[0][1]) answers[i] = nums[0][0];
      else answers[i] = nums[1][0];
    }

    var answerText = new StringBuilder();
    for(long i = 0; i < answers.Length; i++)
    {
      answerText.AppendLine(answers[i].ToString());
    }
    Console.Write(answerText);
	}
}