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: Accepted)

import java.util.Scanner;
import java.lang.StringBuilder;
import java.math.BigInteger;

public class Main{
  
  
  
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    
    int n;
    n = sc.nextInt();
    
    int[] nums = new int[n];
    boolean another_max = false;
    int max = 0;
    int max2 = 0;
    boolean second = true;
    for (int i=0; i!=n; i+=1){
      int num = sc.nextInt();
      nums[i] = num;
      if (i == 0) {
        max = num;
      }
      else if (i == 1){
        if (num < max){
          max2 = num;
        }
        else{
          max2 = max;
          max = num;
        }
      }
      else{
      if (num == max) another_max = true;
      
      if (num != max){
        if (num > max){
          max2 = max;
          max = num;
          another_max = false;
        }
        else if (num < max && num > max2){
          max2 = num;
        }
      }
      }
    }
    
    if (max2 == 0) max2 = max;
//    System.out.print(max + " " + max2 + " "+ another_max);
    StringBuilder sb = new StringBuilder();
    for (int i=0; i!=n; i+=1){
      if (nums[i] == max && !another_max) sb.append(max2 + "\n");
      else sb.append(max + "\n");
    }
    
    
    
    
    
    System.out.print(sb.toString());
    
    
  }
}