Given the following notation for directions and distances between points: P @ Q P@Q P @ Q means P P P is East of Q Q Q and the distance between P P P ...

Given the following notation for directions and distances between points:

• $P@Q$ means $P$ is East of $Q$ and the distance between $P$ and $Q$ is either $4 ext{ m}$ or $15 ext{ m}$.
• $P#Q$ means $P$ is West of $Q$ and the distance between $P$ and $Q$ is either $7 ext{ m}$ or $18 ext{ m}$.
• P&Q means $P$ is North of $Q$ and the distance between $P$ and $Q$ is either $4 ext{ m}$ or $15 ext{ m}$.
• $P$ means $P$ is South of $Q$ and the distance between $P$ and $Q$ is either $7 ext{ m}$ or $18 ext{ m}$.

Given the relations:

• J&K#L%M
• B&N#M
• $BN < MN < KL$
• $JK > ML$

What is the direction of $K$ with respect to $B$?