Problem Statement

Given is a sequence of integers $A_1, A_2, ..., A_N$. If its elements are pairwise distinct, print YES; otherwise, print NO.

Constraints

• $2 ≤ N ≤ 200000$
• $1 ≤ A_i ≤ 10^9$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$ $A_1$ $...$ $A_N$

Output

If the elements of the sequence are pairwise distinct, print YES; otherwise, print NO.

Sample Input 1

5
2 6 1 4 5

Sample Output 1

YES

The elements are pairwise distinct.

Sample Input 2

6
4 1 3 1 6 2

Sample Output 2

NO

The second and fourth elements are identical.

Sample Input 3

2
10000000 10000000

Sample Output 3

NO