What is the sum of room number of V, A, Q, X and Z?

Two persons are sitting between Z and U who lives in room number 8.   U sits at one of the corner of the table. Case-1 Case-2 Three persons are sitting between Z and the one who lives in room number which is square of an odd number(9) but not 1. Case-1 T sits fourth to the right of A who sits adjacent to U. T lives in room number 4. Case-1 Immediate neighbors of U lives in the prime numbered room.  Four persons are sitting between W and Y when counted from left of W who is not an immediate neighbor of Z.  The one who lives in room number 1 sits third to the left of W who lives in room number 11. Case-1 Case-2 R and V are immediate neighbors. Q sits second to the right of the one who lives in room number 3. Q and W are not an immediate neighbor of each other. Q and S lives adjacent to each other. The one who lives in room number 12 sits second to the left of X. P lives in room number 10.  The room number of R is greater than the room number of Z.  Case-1 Case-2 final