No sooner ___ than it began to rain heavily.

No sooner ___ than it began to rain heavily.
A.the game began B.has the game begun
C.did the game begin D.had the game begun
请高手为我讲下这道题该选什么,为我讲下其中的语法知识,是用一般过去时呢,还是用过去完成时?我将感激不尽!