Last time I read a story about...
The last time I read a story about...
Is it acceptable to use "the last time" (with the) when speaking about the previous occasion, one in a row: "The last time I read an interesting story", "The last time we talked about elephants"?
(Yes, I know that in sentences like "The last time I read that story someone knocked at the door", "The last time we met I saw that he hadn't changed much" the article is necessary.)