Counting Words with All Vowels

You are given a list of words. Your task is to count how many words contain all five vowels: \(a, e, i, o, u\). A word is considered valid if each of the vowels appears at least once in the word, in any order.

Input Format

The first line contains a single integer \(n\) denoting the number of words. The following \(n\) lines each contain a single word composed of lowercase English letters.

Output Format

Output a single integer denoting the count of words that include all five vowels.

Example

Input:
4
education
automobile
unicorn
communication
Output:
2

</p>

inputFormat

The first line of input contains an integer \(n\), representing the number of words. Each of the next \(n\) lines contains a word.

outputFormat

Print a single integer indicating the number of words that contain all five vowels \(a, e, i, o, u\).

## sample

4
education
automobile
unicorn
communication

2

</p>