Construct deterministic finite automata for the following languages. a) {w E {0, 1}*: w contains exactly two 0's} (2 points) b) {w E {0, 1}*: w contains an even number of 0's and an odd number of 1's} (2 points) c) {w E {0, 1}*: the length of w is even and w contains O's at all the odd positions} (3 points) d) {w E {0, 1}*: w contains 01"0 as a substring where m is divisible by 3} (3 points) e) {wE {0, 1}*: w contains 0's and 1's in alternate) (2 points) f) {w E {0, 1}*: the last two symbols of w are the same} (3 points)