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.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];

		int num, maxNum = -1, nextMaxNum = -1;
		boolean duplicate = false;
		for (int i = 0; i < N; i++) {
			num = sc.nextInt();

			if (num > maxNum) {
				nextMaxNum = maxNum;
				maxNum = num;
				duplicate = false;
			} else if (num == maxNum) {
				duplicate = true;
			} else {
				nextMaxNum = Math.max(nextMaxNum, num);
			}
			A[i] = num;
		}

		for (int i = 0; i < N; i++) {
			if (A[i] == maxNum && !duplicate) {
				System.out.println(nextMaxNum);
			} else {
				System.out.println(maxNum);
			}
		}
	}

}