It is only six months until Christmas, and AtCoDeer the reindeer is now planning his travel to deliver gifts.
There are N houses along TopCoDeer street. The i-th house is located at coordinate a_i. He has decided to deliver gifts to all these houses.
Find the minimum distance to be traveled when AtCoDeer can start and end his travel at any positions.

Constraints

* 1 ≤ N ≤ 100
* 0 ≤ a_i ≤ 1000
* a_i is an integer.

Input

Input is given from Standard Input in the following format:


N
a_1 a_2 ... a_N


Output

Print the minimum distance to be traveled.

Examples

Input

4
2 3 7 9


Output

7


Input

8
3 1 4 1 5 9 2 6


Output

8
import java.util.Scanner;
public class Main {
	public static void main(String[] args){
		Scanner in = new java.util.Scanner(System.in);
		int N = in.nextInt();
		int min;
		int max;
		int a = in.nextInt();
		min = a;
		max = a;
		for(int i=0; i<N-1; i++){
			a = in.nextInt();
			if(min > a){
				min = a;
			}
			if(max < a){
				max = a;
			}
		}
			System.out.print(max - min);
		
	}
}
