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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

 
import java.util.ArrayList;
import java.util.Collections;
import java.util.Scanner;

 class Main{
    public static void main(String[]args){
        Scanner scan = new Scanner(System.in);
        int x = scan.nextInt();
        ArrayList<Integer> a = new ArrayList<>();
        for(int i = 0 ; i<x ; i++){
            a.add(scan.nextInt());
        }
        for(int i = 0 ; i <x ; i++){
            int temp = a.get(i);
            a.set(i, 0);
            System.out.println(Collections.max(a));
            a.set(i,temp);
        }
    }
}