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;
using System.Collections.Generic;
using System.Linq;
class Program{
    static void Main(string[] args){
    var N = int.Parse(Console.ReadLine());
    var A=new List<int>();
    for(int i=0;i<N;i++){
        A.Add(int.Parse(Console.ReadLine()));
    }
    int ans=A.Max();
    for(int i=0;i<N;i++){
        if(A[i]!=ans){
    Console.WriteLine(ans);
        }
        else{
            if(A.Count(n=>n==ans)>1){
                Console.WriteLine(ans);
            }
            else{
            var B=new List<int>(A); //値渡しにする！
            B.Remove(ans);
            Console.WriteLine(B.Max());
            }
        }
    }
    }
}