Write SQL query to solve given problem: For the team had the biggest power play percentage in 2011, who was their coach that season? Give the full name.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.coachID FROM Coaches AS T1 INNER JOIN Teams AS T2 ON T1.tmID = T2.tmID WHERE T2.year = 2011 ORDER BY CAST(T2.PPG AS REAL) / T2.PPC DESC LIMIT 1