Give a grammar for the language Time of Day, which accepts strings such as those in the bulleted list below. In general the language has strings with hour times from 1 to 12, followed by a colon, followed by minute times from 00 to 59, and then either am or pm. (Use BNF notation and give good mnemonic names for concepts such as , which is to be the start symbol, and for digits that are hour digits (i.e., 1 through 9 but not 0). Make sure that your grammar does not generate any strings that are not valid times.

12:36 pm

1:59 am

4:00 pm

2:45 am