A is allowed to select any date of the year other than December31. B may then select any date later in the same month or the sameday of any later month. For example, if A selects June 16, then Bmay choose any later date in June or the 16th of any month fromJuly to December. Using the same rule with regard to the date thatB has selected, A must select a new date, and so on. The winner isthe player who arrives at December 31
(a) What date should A select to begin with in order to ensurethe fastest possible win?
(b) What if A must start with a date in January? ([27], May1971).
Full shown work and answer please.