Distinct elements

Given an array of n integers, you are asked to calculate the number of distinct elements.

Input

The first line of the input contains a single integer n (1 ≀ n ≀ ).
The next line contains n space-separated integers ( ≀ ≀ ).

Output

The program should print the number of distinct elements in the given array.

Examples

Input
Output
5 5 5 3 2 3
3

Explanation

Distinct elements are 2, 3, and 5
Β 

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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