Two rectangular gardens are situated such that the smaller garden is enclosed within the larger garden. Each garden has four gates, positioned at the ...

Two rectangular gardens are situated such that the smaller garden is enclosed within the larger garden. Each garden has four gates, positioned at the midpoint of each side. The gates of the smaller garden open outward, while the gates of the larger garden open inward. Gates from the smaller garden face gates from the larger garden, and only gates from different gardens face each other.

Given:

• Gate U of the smaller garden is second to the right of gate T.
• The gate facing T is immediately to the right of gate N.
• The number of gates between U and T is one less than the number of gates between P and M.
• Gate M is not adjacent to gate N.
• Gate O faces the gate immediately to the right of gate R.
• Gate R does not face gate N.
• Gate O is not located on the longer side of the garden.
• One of the gates is S.

Question: Which gate faces gate N?