One way to test if a word w belong to this language is to

Question

The language L = {a^n-1bⁿ} where n ≥1, is a language of all words with the following properties:

• The words are made up of strings of a's followed by b's.
• The number of a's is always one a less than number of b's.
• Examples of words that belong to L are:

b, where n=1;

abb, where n=2;

aabbb, where n=3;

aaabbbb, where n=4.

One way to test if a word w belong to this language is to use a stack to check if the number of a's balance the number of b's. Use the provided header and provide a function isLanguageL that uses a stack to test if any word belong to L.

bool isInLanguageL(string w);

Note the following:

• Only words belonging to L should be accepted.
• The word bba does not belong to L.
• Do not count the number of a's or b's.