# Horse – racing Duals

##### The Goal

Casablanca’s hippodrome is organizing a new type of horse racing: duals. During a dual, only two horses will participate in the race. In order for the race to be interesting, it is necessary to try to select two horses with similar strength.

Write a program which, using a given number of strengths, identifies the two closest strengths and shows their difference with an integer (≥ 0).

##### Game Input
Input

Line 1: Number N of horses
The N following lines: the strength Pi of each horse. Pi is an integer.
Output
The difference D between the two closest strengths. D is an integer greater than or equal to 0.
Constraints
1 < N  < 100000
0 < Pi ≤ 10000000

##### Java Solution
```class Solution {

public static void main(String args[]) {
Scanner in = new Scanner(System.in);
int N = in.nextInt();
int[] strength = new int[N];
Integer diff = Integer.MAX_VALUE;
for (int i = 0; i < N; i++) {
int pi = in.nextInt();
strength[i] = pi;
}
Arrays.sort(strength);
for (int i = 0; i < strength.length - 1; i++) {
if (diff > Math.abs(strength[i] - strength[i + 1])) {
diff = Math.abs(strength[i] - strength[i + 1]);