Distinct Numbers

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