"Duncan Rothwell. I received a telegram from him this morning to say that he would be here by half-past twelve. Here is the telegram."

I handed it to the inspector.

"Half-past twelve. And when do you say that you discovered this man on the floor?"

"About a quarter to one. When I gave the alarm the landlady of the hotel and the servant came running to me immediately. They will be able to tell you what time it was; and I should say that the doctor was here within five minutes."

The inspector turned to the doctor.

"And what was the time, sir, when you arrived?"

"I should say as nearly as possible about ten minutes to one. I lunch at one; I was just going to wash when I was called."

"And how long do you say, sir, he had then been dead?"

"He had probably been alive five minutes before."

"Then, in that case, he must have been alive when this man says he entered the hall." The inspector pointed to me.