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.io.PrintWriter;
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 max = 0;
        int max2 = 0;
        for(int i=0; i<N; i++){
            int num = Integer.parseInt(sc.next());
            A[i] = num;
            if(max < num){
                max2 = max;
                max = num;
            }else{
                max2 = Math.max(A[i], max2);
            }
        }

        for(int i=0; i<N; i++){
            if (A[i] < max){
                println(max);
            }else{
                println(max2);
            }
        }
    }

    static void println(Object o){
        PrintWriter out = new PrintWriter(System.out);
        out.println(o);
        out.flush();
    }
   static void print(Object o){
       PrintWriter out = new PrintWriter(System.out);
       out.print(o);
       out.flush();
    }
}