You are given a list of n integers, and your task is to calculate the number of distinct values in the list.

Input

The first input line has an integer n: the number of values.

The second line has n integers x_1,x_2,\dots,x_n.

Output

Print one integers: the number of distinct values.

Constraints

• 1 \le n \le 2 \cdot 10^5
• 1 \le x_i \le 10^9

Example

Input:

5
2 3 2 2 3

Output:

2