Baseball is a complicated game and often the manager has a difficult time keeping track of all the rules of thumb that guide decisions. To assist your favorite baseball team you have been asked to design a logic circuit that will flash a light when the manager should give the steal sign. The rules have been laid out for you by a baseball fan with limited knowledge of the game as follows: Give the steal sign if there is a runner on first base and

a. There are no other runners, the pitcher is right-handed, and the runner is fast, or

b. There is one other runner on third-base, and one of the runners is fast, or

c. There is one other runner on second-base, the pitcher is left-handed, and both runners are fast. Under no circumstances should the steal sign be given if all three bases have runners. Design a logic circuit that implements these rules to indicate when the steal sign should be given.