The international olympic committee consists of 55 members and needs to de- cide on the host city of the next summer games. There are five candidate cities: Berlin (B), Doha (D), Paris (P), Rome (R), and Tokyo (T). The indi- vidual preferences are: 18 members have ranking RPDBT, 12 members have ranking TDPBR, 10 members have ranking BTDPR, 9 members have rank- ing PBDTR, 4 me