When they hold a meeting, seven company executives T, U, V, W, X, Y and Z sit around a rectangular table. Three sit along one side of the table and three sit along the other side directly opposite to the first three. The seventh sits at the head of the table. The fourth side of the table has no seats.
(i) U always sits in one of the two seats farthest from the head of the table.
(ii) Y and V always sit next to each other.
(iii) V never sits next to Z.
(iv) If Z does not sit at the head of the table, W sits there.
If T sits directly opposite to Z, and next to V, which executive must sit directly opposite to U?