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.*;
import java.math.*;
import java.lang.*;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		// 整数の入力
		int  n = sc.nextInt();
		List<Integer> list = new ArrayList<>();
		int maxCount = 0;
		int max =0;


		for (int i = 0; i < n; i++) {
			int a = sc.nextInt();
			list.add(a);
			max = Math.max(max, a);
		}

		for (int i = 0; i < n; i++) {
			int a = list.get(i);
			if(a ==max){
				maxCount++;
			}
		}

		int secondMax = 0;
		if(maxCount == 1){
			for (int i = 0; i < n; i++) {
				int a = list.get(i);
				if(a == max){
					continue;
				}
				secondMax = Math.max(a, secondMax);
			}
		}

		for (int i = 0; i < n; i++) {
			int a = list.get(i);
			if(a == max && maxCount > 1){
				System.out.println(max);
			} else if(a == max && maxCount == 1){
				System.out.println(secondMax);
			} else{
				System.out.println(max);
			}
		}


	}

}