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[] args)
	{
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int tmp;
		int[] max = new int[2];
		max[0] = 0;
		max[1] = 0;
		int[] pos = new int[2];

		for(int i = 0 ; i < n ; i++){
			tmp = sc.nextInt();
			if(tmp > max[0]){
				max[1] = max[0];
				max[0] = tmp;
				pos[1] = pos[0];
				pos[0] = i;
			}else if(tmp > max[1]){
				max[1] = tmp;
				pos[1] = i;
			}
		}

		for(int i = 0 ; i < n ; i++){
			if(i == pos[0]){
				System.out.println(max[1]);
			}else{
				System.out.println(max[0]);
			}
		}
	}

}