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.*;

public class Main {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);

        int N = sc.nextInt();
        int A[] = new int[N];
        int B[] = new int[N];

        for(int i = 0; i < N; i++){
            A[i] = sc.nextInt();
            B[i] = A[i];
        }

        Arrays.sort(B);
        
        int max = B[N - 1];
        int next_max = max;

        for(int i = N - 1; i >= 0; i--){
            if(B[i] != max){
                next_max = B[i];
                break;
            }
        }

        for(int i = 0; i < N; i++){
            if(A[i] != max){
                System.out.println(max);
            }else{
                System.out.println(next_max);
            }
        }

        sc.close();
    }
}