“A word of stage-direction,” Vance continued. “When I have departed by the front door, you are to wait exactly three minutes, and then knock at the late Canary’s apartment.”

He sauntered to the front door and, turning, walked back toward the switchboard. Markham and I stood behind Heath in the little alcove, facing the front of the building.

“Enter Mr. Skeel!” announced Vance. “Remember, it’s half past nine.” Then, as he came abreast of the switchboard: “Dash it all! You forgot your lines, Sergeant. You should have told me that Miss Odell was out. But it doesn’t matter. . . . Mr. Skeel continues to the lady’s door . . . thus.”

He walked past us, and we heard him ring the apartment bell. After a brief pause, he knocked on the door. Then he came back down the hall.

“I guess you were right,” he said, quoting the words of Skeel as reported by Spively; and went on to the front door. Stepping out into the street, he turned toward Broadway.

For exactly three minutes we waited. None of us spoke. Heath had become serious, and his accelerated puffing on his cigar bore evidence of his state of expectancy. Markham was frowning stoically. At the end of the three minutes Heath rose and hurried up the hall, with Markham and me at his heels. In answer to his knock, the apartment door was opened from the inside. Vance was standing in the little foyer.

“The end of the first act,” he greeted us airily. “Thus did Mr. Skeel enter the lady’s boudoir Monday night after the side door had been bolted, without the operator’s seeing him.”

Heath narrowed his eyes, but said nothing. Then he suddenly swung round and looked down the rear passageway to the oak door at the end. The handle of the bolt was in a vertical position, showing that the catch had been turned and that the door was unbolted. Heath regarded it for several moments; then he turned his eyes toward the switchboard. Presently he let out a gleeful whoop.

“Very good, Mr. Vance—very good!” he proclaimed, nodding his head knowingly. “That was easy, though. And it don’t take psychology to explain it.—After you rang the apartment bell, you ran down this rear hallway and unbolted the door. Then you ran back and knocked. After that you went out the front entrance, turned toward Broadway, swung round across the street, came in the alley, walked in the side door, and quietly let yourself into the apartment behind our backs.”

“Simple, wasn’t it?” agreed Vance.