Determine the Winner

There is a contest containing $2$ problems $A$ and $B$. $2$ strong participants $P$ and $Q$ participated in the contest and solved both the problems. $P$ made AC submissions on problems $A$ and $B$ at time instants $P_A$ and $P_B$ respectively while $Q$ made AC submissions on problems $A$ and $B$ at time instants $Q_A$ and $Q_B$. It is given that the time penalty is the minimum time instant at