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.*;
import java.io.*;


class Main {
  public static void main(String[] args){
    Scanner  sc = new Scanner(System.in);
    int n = sc.nextInt();
    Integer a[] = new Integer[n];
    for(int i=0;i<n;i++){
      a[i] = sc.nextInt();
    }
    //Integer max[] = new Integer[n];
    int max = 0;
    for(int i=0;i<n;i++){
      max = 0;
      for(int j = 0; j<n;j++){
        if(j==i) continue;
        if(a[j] >= max){
          max = a[j];
        }
      }
        System.out.println(max);
      }



      // for(int i=0;i<n;i++){
      //   if(max[i]<=a[i]){
      //     System.out.println(a[i]);
      //
      //   }else{
      //   }
      // }



  }
}