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: Time Limit Exceeded)

using System;

namespace ABC134
{
    class Program
    {
        static int Main(string[] args)
        {
            problemC();
            return 0;
        }

        static void problemC()
        {
            string input = Console.ReadLine();

            int n = int.Parse(input);

            int[] A = new int[n];

            for(int i = 0; i<n; i++)
            {
                string inputA = Console.ReadLine();
                A[i] = int.Parse(inputA);
            }

            int maxL = 0;
            for (int i = 0; i < n; i++)
            {
                int maxR = 0;
                if (i > 0)
                {
                    if (maxL < A[i - 1])
                    {
                        maxL = A[i - 1];
                    }
                }
                if (i < n - 1)
                {
                    for (int j = i + 1; j < n; j++)
                    {
                        if (maxR < A[j])
                        {
                            maxR = A[j];
                        }
                    }
                }

                Console.WriteLine(Math.Max(maxL, maxR));
            }
        }
    }
}