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.Scanner;
public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

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

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

		int max0 = Math.max(A[0], A[1]);
		int max1 = Math.min(A[0], A[1]);

		int count = 0;
		for (int i = 0; i < N; i++) {

			if (max0 < A[i]) {
				max0 = A[i];
			}
		}

		for (int i = 0; i < N; i++) {

			if (A[i] == max0)
				count++;

			if (max1 < A[i] && A[i] != max0)
				max1 = A[i];
		}

		for (int i = 0; i < N; i++) {

			if (A[i] != max0 && count == 1)
				System.out.println(max0);
			else
				System.out.println(max1);
		}
	}
}