COCI 2009/2010, Contest #1

Task DOBRA

Lea runs into a lot of words in her life. A lot of them she finds unpleasant. To compensate for that she started making up plesant words. Lea makes up new words by writing a nice looking string of characters on a piece of paper. She than erases a few of the most nasty looking characters and replaces them underscores '_'. After that she tries to replace the underscores with more acceptable characters trying to form a plesant word.

Lea considers words plesant if they do not contain 3 sequential vowels, 3 sequential consonants and contain at least one letter 'L'.

In Croatian vowels are letters A, E, I, O, U only. All other lettters are consonants.

Input

The first and only line of input contains a string of characters, at most 100. The string contains only of uppercase english letters and characters '_'. There will be at most 10 characters '_'.

Output

The first and only line of output should cotain a single integer - the total number of plesant words that can be formed by substituing underscores with uppercase letters of the english alphabet.

Warning: Use 64 bit number formats. long long in C/C++, int64 in Pascal.

Sample Tests

Input

L_V

Output

5

Input

V__K

Output

10

Input

JA_BU_K_A

Output

485

All Submissions
Best Solutions


Point Value: 7
Time Limit: 1.00s
Memory Limit: 32M
Added: Jul 02, 2013

Languages Allowed:
C++03, PAS, C, HASK, ASM, RUBY, PYTH2, JAVA, PHP, SCM, CAML, PERL, C#, C++11, PYTH3

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