Direction: Study the following information carefully and answer the following information.

Linvvays, a company has some persons working at different designations such as — General Manager (GM), Deputy General Manager (DGM), Senior Manager (SM), Manager, Assistant Manager (AM), and Peon. The hierarchy of the designations is given in decreasing order such that General Manager is the senior most designation whereas Peon is the junior most designation. There are a total of twenty-seven employees working in the company.

Note:

• If A works with B means both A and B are working at the same designation.
• The number of persons working in each designation is one less than the number of persons working in their immediate lower designation.
• A person works in one designation only. 

M, D, and B works in the same designation. N and Y work with L at the same designation. Five persons are working with Q. R and O work in a designation junior to Q. The number of persons junior to D is one less than the number of persons senior to J and U. U is immediately senior to T and $. Odd number of persons working between Z and S, who work junior to both Z and C. Q is junior to N. Z and X don’t work as senior Managers. The number of designations higher than K is the same as the number of designations lower than L. X is junior to P but senior to E and V. P, who neither work with Z nor M, is senior to both F and @. Five persons are senior to N. A and C work together but neither as AM nor GM. S doesn’t work junior to B. The number of designations lower than E and W is one less than the number of designations higher than G, who is immediately junior to H.

Now, the management of the company, Linvvays decided to send all the persons junior to DGM to a program in three different cities - Kochi, Mumbai, and Bangalore following certain conditions:

 Condition 1: If odd number of persons working on the designation and name of the person in the second half of alphabetical order, then send them to Mumbai, else send them to Kochi.

Condition 2: If even number of persons working on the designation and name of the person is in the first half of alphabetical order, then send them to Kochi, else send them to Bangalore.

Condition 3: If there is any person’s name represented by a symbol then they will be sent to Mumbai.