“Well, if you insist on bearding him, let me go with you.”

“Certainly not. You are young, and—well, not uncalculated to arouse his marital jealousy, while I,” patting his portly person, “am not likely to cause him any such anxieties. Even age and fat have their uses, sometimes.”

“But he may try to cut your throat,” I objected.

“One of my men will be just outside, and will probably get to me before he has quite finished me.” He had risen, and stood with his hand on the door-knob.

“Look here, Doctor, I’d like to bet you that Argot is innocent, and that a woman, and a mighty pretty woman, too, is the guilty party.”

“All right, Mr. Merritt; I’ll take you. I bet you fifty dollars that a man committed this crime.”

“Done!” exclaimed the detective, and, pulling out his pocket-book, he recorded the bet with great care. He looked at me for a moment longer with one of those quiet enigmatic smiles of his, and departed.

I watched him cross the street and enter the back door of the Rosemere. A moment afterwards a shabby-looking man came slouching along and stopped just outside, apparently absorbed in watching something in the gutter. The detective remained only a minute or so in the building, and when he came out he gave me a slight nod, which I interpreted as a sign that Argot was not at home. He took not the slightest notice of the tramp, and, turning north, trotted briskly up town.

As I watched him disappear, I wondered what made him so sure of the Frenchman’s innocence, and I tried vainly to guess who the woman could be whom he now had in mind. Miss Derwent, I was glad to say, was out of the question. He himself had proved to me by the most convincing arguments that Mrs. Atkins could not be guilty. And who else was there to suspect? For the criminal must have been an inmate of the building. That was one of the few facts which the detective claimed was established beyond a doubt.