A customer arrives at a spare parts store to buy a pair of tires of a certain high-quality model. The store manager knows that there are three types of tire qualities for this model: low, medium, and high, with 7, 4, and 16 tires of each quality, respectively. However, the salesperson is not available, and the manager cannot differentiate between the qualities because all three types of tires look identical to him. Since the customer can differentiate the qualities, the manager decides to show a certain number of tires for the customer to choose from. What is the minimum number of tires that the manager must show to ensure obtaining two high-quality tires? Give the sum of its digits as the answer.


A) 9
B) 7
C) 5
D) 4