Riolku's Mock CCC S1 - Word Bot

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Points: 3 (partial)
Time limit: 2.0s
Memory limit: 256M

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Problem type

Mosey Maker is practicing how to use words!

To help him with his words, he made up a bot to recognize them. However, his bot isn't that intelligent.

His bot recognizes words as a list of alphabetic characters. Mosey Maker's bot doesn't think long sequences of vowels or consonants are valid, so if more than C consonants or V vowels are seen in a row, his bot does not consider it a word. Note that the vowels are aeiouy, and the consonants are bcdfghjklmnpqrstvwxyz. Note that y counts as both a consonant and a vowel.

Unfortunately, Mosey Maker lost his bot, and wants you to recode it.

Given a single word of N characters, is it valid?

Constraints

1 \le N, C, V \le 10^5

The word will only contain lowercase alphabetic characters.

Subtask 1 [5/15]

The letter y will not appear in the word.

Subtask 2 [10/15]

No additional constraints.

Input Specification

The first line will contain three integers, N, C, and V.

The next line will be the word Mosey wants you to check.

Output Specification

Output YES if the word is valid and NO otherwise.

Sample Input 1

12 3 3
onomatopoeia

Sample Output 1

NO

Explanation for Sample Output 1

Note that although it is a valid English word, onomatopoeia has too many trailing vowels to be a valid word.

Sample Input 2

8 2 4
aaybaaaa

Sample Output 2

YES

Sample Input 3

10 8 2
aayczttpqw

Sample Output 3

NO

Explanation for Sample Output 3

Note that since y is both a vowel and a consonant, aay is considered a string of 3 vowels.

Sample Input 4

5 4 4
yyyyy

Sample Output 4

NO

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