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 Program
{
    static void Main(string[] args)
    {
        int N = int.Parse(Console.ReadLine());
        int[] A = new int[N];

        int maxValue = 1;
        int secondMaxValue = 0;
        int cntMaxValue = 0;
        int currentValue;

        for(int i = 0; i < N; i++) {
            currentValue = int.Parse(Console.ReadLine());
            A[i] = currentValue;

            if(maxValue == currentValue) { 
                cntMaxValue++;
            } else if(maxValue < currentValue) {
                secondMaxValue = maxValue;
                maxValue = currentValue;
                cntMaxValue = 1;
            } else if(secondMaxValue < currentValue) {
                secondMaxValue = currentValue;
            }
        }

        for(int i = 0; i < N; i++) {
        
            if(cntMaxValue > 1) {
                Console.WriteLine(maxValue);
                continue;
            }
            
            if (A[i] == maxValue) {
                Console.WriteLine(secondMaxValue);
            }
            else {
                Console.WriteLine(maxValue);
            }

        }
    }
}