“The one he did light his cigarette with. You have found that also?”

“No.”

“Perhaps you didn’t search very thoroughly.”

“Not search thoroughly—” For a moment it seemed as though the detective were going to break out angrily, but with an effort he controlled himself. “I see you love a joke, M. Poirot. But in any case, match or no match, the cigarette end would be sufficient. It is a South American cigarette with liquorice pectoral paper.”

Poirot bowed. The commissary spoke:

“The cigarette end and match might have belonged to M. Renauld. Remember, it is only two years since he returned from South America.”

“No,” replied the other confidently. “I have already searched among the effects of M. Renauld. The cigarettes he smoked and the matches he used are quite different.”

“You do not think it odd,” asked Poirot, “that these strangers should come unprovided with a weapon, with gloves, with a spade, and that they should so conveniently find all these things?”

Giraud smiled in a rather superior manner.

“Undoubtedly it is strange. Indeed, without the theory that I hold, it would be inexplicable.”