"What is this brilliant remark of mine?" I asked.

"It makes everything as clear as crystal. I see the answers to questions. The reason for Mrs. Ascher (that, it is true, I glimpsed long ago), the reason for Sir Carmichael Clarke, the reason for the Doncaster murder, and finally and supremely important, the reason for Hercule Poirot."

"Could you kindly explain?" I asked.

"Not at the moment. I require first a little more information. That I can get from our Special Legion. And then—then, when I have got the answer to a certain question, I will go and see A.B.C.. We will be face to face at last—A.B.C, and Hercule Poirot—the adversaries."

"And then?" I asked.

"And then," said Poirot, "we will talk! Je vous assure, Hastings—there is nothing so dangerous for anyone who has something to hide as conversation! Speech, so a wise old Frenchman said to me once, is an invention of man's to prevent him from thinking. It is also an infallible means of discovering that which he wishes to hide. A human being, Hastings, cannot resist the opportunity to reveal himself and express his personality which conversation gives him. Every time he will give himself away."

"What do you expect Cust to tell you?"

Hercule Poirot smiled. "A lie," he said. "And by it, I shall know the truth!"

During the next few days Poirot was very busy. He made mysterious absences, talked very little, frowned to himself, and consistently refused to satisfy my natural curiosity as to the brilliance I had, according to him, displayed in the past.

I was not invited to accompany him on his mysterious comings and goings—a fact which I somewhat resented.

Towards the end of the week, however, he announced his intention of paying a visit to Bexhill and neighbourhood and suggested that I should come with him. Needless to say, I accepted with alacrity.

The invitation, I discovered, was not extended to me alone. The members of our Special Legion were also invited.

They were as intrigued by Poirot as I was. Nevertheless, by the end of the day, I had at any rate an idea as to the direction in which Poirot's thoughts were tending.

He first visited Mr. and Mrs. Barnard and got an exact account from her as to the hour at which Mr. Cust had called on her and exactly what he had said. He then went to the hotel at which Cust had put up and extracted a minute description of that gentleman's departure. As far as I could judge, no new facts were elicited by his questions but he himself seemed quite satisfied.

Next he went to the beach to the place where Betty Barnard's body had been discovered. Here he walked round in circles for some minutes studying the shingle attentively. I could see little point in this, since the tide covered the spot twice a day.

However I have learnt by this time that Poirot's actions are dictated by an idea—however meaningless they may seem.

He then walked from the beach to the nearest point at which a car could have been parked. From there again he went to the place where the Eastbourne buses waited before leaving Bexhill.

Finally he took us all to the Ginger Cat cafй where we had a somewhat stale tea served by the plump waitress, Milly Higley.

Here he complimented in a flowing Gallic style on the shape of her ankles.

"The legs of the English—always they are too thin! But you, mademoiselle, have the perfect leg. It has shape—it has an ankle!"

Milly Higley giggled a good deal and told him not to go on so. She knew what French gentlemen were like.

Poirot did not trouble to contradict her mistake as to his nationality.

He merely ogled her in such a way that I was startled and almost shocked.

"Voila!" said Poirot, "I have finished in Bexhill. Presently I go to Eastbourne. One little inquiry there—that is all. Unnecessary for all to accompany me. In the meantime come back to the hotel and have a cocktail. That Carlton tea, it was abominable!"

As we were sipping our cocktails Franklin Clarke said curiously: "I suppose we can guess what you are after? You're out to break that alibi. But I can't see what you're so pleased about. You haven't got a new fact of any kind."

"No—that is true."

"Well, then?"

"Patience. Everything arranges itself, given time."

"You seem quite pleased with yourself anyway."

"Nothing so far has contradicted my little idea—that is why."

His face grew serious. "My friend Hastings told me once that he had, as a young man played a game called The Truth. It was a game where everyone in turn was asked three questions—two of which must be answered truthfully. The third one could be barred. The questions, naturally, were of the most indiscreet kind. But to begin with everyone had to swear that they would indeed speak the truth, the whole truth, and nothing but the truth."

He paused.

"Well?" said Megan.

"Eh bien—me, I want to play that game. Only it is not necessary to have three questions. One will be enough. One question to each of you."

"Of course," said Clarke impatiently. "We'll answer anything."

"Ah, but I want it to be more serious than that. Do you all swear to speak the truth?"

He was so solemn about it that the others, puzzled, became solemn themselves. They all swore as he demanded.

"Bon, "said Poirot briskly. "Let us begin—"

"I'm ready," said Thora Grey.

"Ah, but ladies first—this time it would not be the politeness. We will start elsewhere."

He turned to Franklin Clarke. "What, mon cher M. Clarke, did you think of the hats the ladies wore at Ascot this year?"

Franklin Clarke stared at him. "Is this a joke?"

"Certainly not."

"Is that seriously your question?"

"It is."

Clarke began to grin. "Well, M. Poirot, I didn't actually go to Ascot, but from what I could see of them driving in cars, women's hats for Ascot were an even bigger joke than the hats they wear ordinarily."

"Fantastic?"

"Quite fantastic."

Poirot smiled and turned to Donald Fraser. "When did you take your holiday this year, Monsieur?"

It was Fraser's turn to stare. "My holiday? The first two weeks in August."

His face quivered suddenly. I guessed that the question had brought the loss of the girl he loved back to him.

Poirot, however, did not seem to pay much attention to the reply. He turned to Thora Grey and I heard the slight difference in his voice. It had tightened up. His question came sharp and clear.

"Mademoiselle, in the event of Lady Clarke's death, would you have married Sir Carmichael if he had asked you?"

The girl sprang up. "How dare you ask me such a question. It's—it's insulting!"

"Perhaps. But you have sworn to speak the troth. Eh bien—yes or no?"

"Sir Carmichael was wonderfully kind to me. He treated me almost like a daughter. And that's how I felt to him—just affectionate and grateful."

"Pardon me, but that is not answering yes or no, mademoiselle."

She hesitated. "The answer, of course, is no!"

He made no comment. "Thank you, mademoiselle."

He turned to Megan Barnard. The girl's face was very pale. She was breathing hard as though braced up for an ordeal.

Poirot's voice came out like the crack of a whiplash. "Mademoiselle, what do you hope will be the result of my investigations? Do you want me to find out the truth—or not?"