Give stack machines for the following languages:

a. {x {0, 1}* | the number of 0s in x is divisible by 3}

b. {x {0, 1}* | x is a binary representation of a number divisible by 3}

c. {(ab)^n c(de)^n}

d. {a^n b^n | n is odd}

e. {a^n b^m | m n}

f. {a^n b^m c^m d^n}