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) {
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    int tmp = 0;
    ArrayList<Integer> ans1 = new ArrayList<Integer>();
    ArrayList<Integer> maxcount = new ArrayList<Integer>();
    int count = 0;
    for (int i = 0; i < n; i++) {
      ans1.add(sc.nextInt());
    }
    int ans = Collections.max(ans1);
    for(int i = 0; i < n; i++){
      if (ans == ans1.get(i)) {
        count++;
        maxcount.add(i);
      }
    }
    for(int i = 0; i < n; i++){
      if(count >= 2){
        System.out.println(ans);
      }else{
        if(i == ans1.get(0)){
          ans1.remove(i);
          tmp = Collections.max(ans1);
          System.out.println(tmp);
          ans1.add(i, ans); 
        }else{
          System.out.println(ans);
        }
      }
    }
  }
}