Give context-free grammars generating each of the following languages over = {0, 1}:

a. {w : |w| 5}

b. {w : |w| > 5 and its third symbol is 0}

c. {w : every odd position of w is 0}

d. {w : w contains at least two 0s and at most one 1}

e. {w : w }

f. {0ⁿ1^m : m, n 0 and n < 2m}