a) let us define the following: 1. A “vowel group” is a vowel, v \in∈ {‘a’, ‘e’, ‘i’, ‘o’, ‘u’}, or a concatenation of “two” vowels. 2. A “vowel syllable” is a vowel group. 3. A “consonant syllable” is a “one”, or “two” or at most “three” consonants, c \in∈ {‘a’, ‘b’, ‘c’, ..., ‘z’} - {‘a’, ‘e’, ‘i’, ‘o’, ‘u’} - {‘d’, ‘v’, ‘w’, ‘x’, ‘z’}, followed by a vowel group. Now, a Sesotho word can be described as follows: 1. A vowel syllable is a Sesotho word. 2. A consonant syllable is a Sesotho word. 3. A Sesotho word can begin with a vowel syllable, and thereafter it could be a mixture of vowel syllables and/or consonant syllables (with at most “two” consonants). 4. A Sesotho word can start with a consonant syllable, and thereafter it could be a mixture of vowel syllables and/or consonant syllables. Draw a finite state automaton (FSA) that can generate/accept Sesotho words as defined above. ...............................................................................................................................