K, L, M, N, P, Q, R, S, U and W are the ten members of the
Dalhousie Institute. A team has to be selected from among the members,
subject to the following conditions:
- The team must include exactly one among P, R, and S.
- It must include either M or Q, but not both.
- If a team includes K, then it must also include L, and vice versa.
- If a team includes one among S, U, and W, then it must necessarily include the other two.
- L and N cannot be members of the same team. The same is true for L and U also.
The size of a team is defined as the number of members in the team.
A = Number of members in a team such that the team includes N.
B = Sum of squares of all distinct values of A
Find B.
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