University rating#11334
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University rating

1 second
128 megabytes
Easy

To assess the performance of universities, we decided to compile a rating. The activity of the university is evaluated by an integer from to .

Count the number of universities with a positive rating, a negative rating, and a zero rating.

Input

The first line contains a positive integer n~(1 \le n \le 50000) — the number of universities.

The second line contains integers — the rating of the i~(1 \le i \le n)-th university.

Output

Print three numbers in one line:

  • the number of universities with a positive rating;

  • the number of universities with a negative rating;

  • the number of universities with a zero rating.

Examples

Example 1

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