Comprehension Passage

In certain coding languages, the directions are coded as per the below conditions.

P@Q means – P is North of Q

P%Q means – P is South of Q

P#Q means – P is East of Q

P $ Q means – P is West of Q

@ and $ means the distance between the two points is either 4m or 8m.

% and # means the distance between the two points is either 3m or 7m.

PQ > RS Means the distance between point P and Q is greater than that of point R and S.

Example: P @ Q means P is north of Q and the distance between P and Q is either 4m or 8m and so on.

Condition: T#Q, U%Q, R@V, S#V, R $ U, S@W, P#W, TQ > WP, VS > RU 

If N#M, N@O$ K, RV > NO and the point M is exactly to the east of U and also to the South west of T. Then what is the shortest distance between Point S and Point O? 

1
√65 
2
√137
3
Either (A) or (B)
4
√70
5
Cannot be determined

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