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>

int main() {
  int n;
  int d[100000];
  int temp = 0;
  int a, b, c, e;
  scanf("%d", &n);
  for(int i = 0; i < n; i++) {
    scanf("%d", &d[i]);
  }
  for(int i = 0; i < n - 1; i++) {
    for(int j = i + 1; j < n; j++) {
      if(d[i] > d[j]) {
        temp = d[i];
        d[i] = d[j];
        d[j] = temp;
      }
    }
  }
  a = d[n - 1];
  e = 0;
  for(int i = 0; i < a; i++) {
    b = 0;
    c = 0;
    for(int j = 0; j < n; j++) {
      if(i < d[j]) {
        b++;
      } else {
        c++;
      }
    }
    if(b == c) {
      e++;
    }
  }
  printf("%d", e);
  return 0;
}