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.*;
 
public class Main {
  public static void main (String[] arg) {
    Scanner scan = new Scanner(System.in);
    int N = scan.nextInt();
    int A[] = new int[N];
    int Max = 0;
    int Maxi = 0;
    int Max2 = 0;
    
    for (int i = 0; i < N; i++){
      A[i] = scan.nextInt();
      if(A[i] >= Max){
        Max2 = Max;
        Max = A[i];
        Maxi = i;
      } else if(A[i] >= Max2){
        Max2 = A[i];
      }
    }
    
    for(int i = 0; i < N; i++){
      if(i == Maxi){
        System.out.println(Max2);
      } else {
        System.out.println(Max);
      }
    }
  }
}