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: Wrong Answer)

import java.util.*;
import java.io.*;

public class Main {
    public static void main(String[] args) {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int N;
        List<Integer> numbers = new ArrayList<>();
        try {
            N  = Integer.parseInt(br.readLine());
            for (int i=0; i<N; i++) {
                numbers.add(i, Integer.parseInt(br.readLine()));
            }
            int max = 0;
            int index = -1;
            for (int i=0; i<N; i++) {
                if (numbers.get(i) > max) {
                    max = numbers.get(i);
                    index = numbers.indexOf(max);
                }
            }
            int second = 0;
            int index2 = -1;
            for (int i=0; i<N; i++) {
                if (i != index && numbers.get(i) > second) {
                    second = numbers.get(i);
                    index2 = numbers.indexOf(second);
                }
            }
            if (max == second) {
                for (int i=0; i<N; i++) {
                    System.out.println(max);
                }
            }
            else {
                for (int i=0; i<N; i++) {
                    if (i == index2) {
                        System.out.println(second);
                    }
                    else {
                        System.out.println(max);
                    }
                }
            }
        }
        catch(Exception e) {
        }
    }
}