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;

namespace question3
{
    class Program
    {
        static void Main(string[] args)
        {


            int n = int.Parse(Console.ReadLine());
            int[] a = new int[n];
            for (int i = 0; i < n; i++)
            {
                a[i]= int.Parse(Console.ReadLine());
            }
            //最大値の模索
            int max1 = -1;
            for (int i = 0; i < n; i++)
            {
                if (max1 < a[i]) max1 = a[i];
            }
            //最大値が被ってないか検索
            int count = 0;
            for (int i = 0; i < n; i++)
            {
                if (max1 == a[i])count++;
            }
            //二番目に大きい値の模索
            int max2 = -1;
            for (int i = 0; i < n; i++)
            {
                if ((max2 < a[i]) && (a[i]<max1)) max2 = a[i];
            }

            //Console.WriteLine("Hello World!");

            for (int i = 0; i < n; i++)
            {
                if (a[i] != max1) Console.WriteLine(max1.ToString());
                else if (count>1) Console.WriteLine(max1.ToString());
                else Console.WriteLine(max2.ToString());
            }


            //Console.ReadLine();

        }
    }
}