Problem:
Score : 300 points

Problem Statement

Takahashi made N problems for competitive programming.
The problems are numbered 1 to N, and the difficulty of Problem i is represented as an integer d_i (the higher, the harder).

He is dividing the problems into two categories by choosing an integer K, as follows:

A problem with difficulty K or higher will be for ARCs.

A problem with difficulty lower than K will be for ABCs.

How many choices of the integer K make the number of problems for ARCs and the number of problems for ABCs the same?

Problem Statement

2 \leq N \leq 10^5

N is an even number.

1 \leq d_i \leq 10^5

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
d_1 d_2 ... d_N

Output

Print the number of choices of the integer K that make the number of problems for ARCs and the number of problems for ABCs the same.

Sample Input 1

6
9 1 4 4 6 7

Sample Output 1

2

If we choose K=5 or 6, Problem 1, 5, and 6 will be for ARCs, Problem 2, 3, and 4 will be for ABCs, and the objective is achieved.
Thus, the answer is 2.

Sample Input 2

8
9 1 14 5 5 4 4 14

Sample Output 2

0

There may be no choice of the integer K that make the number of problems for ARCs and the number of problems for ABCs the same.

Sample Input 3

14
99592 10342 29105 78532 83018 11639 92015 77204 30914 21912 34519 80835 100000 1

Sample Output 3

42685

Solution in C (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include <stdio.h>

void	ft_swap(long *a, long *b)
{
	int tmp;
	tmp = *a;
	*a = *b;
	*b = tmp;
}

void	ft_sort(long *d, long n)
{
	int i = 0;
	int j;
	while (i < n - 1)
	{
		j = i + 1;
		while (j < n)
		{
			if (d[i] > d[j])
				ft_swap(&d[i], &d[j]);
			j++;
		}
		i++;
	}
}

int main(void)
{
	long N;
	scanf("%ld", &N);
	long d[N];
	long count = 0;
	long arc = N / 2;
	long abc = (N / 2) - 1;
	long i = 0;
	while (i < N)
	{
		scanf("%ld", &d[i]);
		i++;
	}
	ft_sort(d, N);
	i = 0;
	// while (i < N)
	printf("%ld\n",d[arc]-d[abc]);
	// i = d[abc];
	// // while (i < d[arc])
	// // {
	// // 	i++;
	// // 	count++;
	// // }
	// printf("%ld\n", count);
	return 0;
}