“Not likely to be much there, sir,” said the inspector.

“There could be,” said Reggie gravely, and led the way.

It was a bathroom of some size but no luxury. Only the sheer necessities of bathing were provided. The lower half of the walls was tiled, the floor of linoleum. Reggie stopped in the doorway. “Anything strike you about it, Bell?”

“Looks new, sir.”

“Yes. Nice and clean. Tidy, don’t you know. But there’s no towels and no sponge. Yet in the bedroom everything was ready for Rand to sleep there to-night—pyjamas, brushes and comb, everything. Didn’t he use towels? Didn’t he have a sponge?”

“What do you mean, sir?”

“This is where the slayer cleared up after the murder. And he took the dirty towels and the bloody sponge away with him. Tidy fellow—always tidy. Just wait, will you?” And he went into the bathroom on all fours. About the middle of the room he stopped, and pored over the linoleum, and felt it with the tips of his fingers. Then he stood up and went to the window, opened it, and looked out. He examined the sill, and then sat himself on it in the manner of a window cleaner, and began to study the window frame. After a minute or two he pulled out a pocket-knife, and with great care cut a piece of wood. He put this down on the edge of the porcelain basin, and resumed his study. When he had finished he went down again on his hands and knees, and wandered over the floor. He made an exclamation, he lay down on his stomach, and stretched underneath the bath. When he stood up he had in his hand something that glittered. He held it out on his palm to Bell.

“What’s that, sir? A match-box?”

“It might be. A gold match-box—provisionally. No name. No initials. On opening—we find inside—a little white powder”—he smelt it, put a fragment on the tip of his finger and tasted—“which is cocaine. Well, come in, Bell, come in. See what you can make of the place. I can’t find a finger-print anywhere.” He slipped the gold box into his pocket.

The two detectives came in, and went over the room even more minutely than he. “There’s nothing that tells me anything,” said Bell.