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“I don’t say you’re not right. But all the same, you won’t get a jury to take much note of a jailbird’s evidence. What seems odd to me is that Lowen couldn’t find a cleverer way of disposing of the ring.”

Poirot shrugged his shoulders. “Well, after all, if it were found in the neighbourhood, it might be argued that Davenheim himself had dropped it.”

“But why remove it from the body at all?” I cried.

“There might be a reason for that,” said Japp. “Do you know that just beyond the lake, a little gate leads out on to the hill, and not three minutes’ walk brings you to⁠—what do you think?⁠—a lime kiln.”

“Good heavens!” I cried. “You mean that the lime which destroyed the body would be powerless to affect the metal of the ring?”

“Exactly.”

“It seems to me,” I said, “that that explains everything. What a horrible crime!”

By common consent we both turned and looked at Poirot. He seemed lost in reflection, his brow knitted, as though with some supreme mental effort. I felt that at last his keen intellect was asserting itself. What would his first words be? We were not long left in doubt. With a sigh, the tension of his attitude relaxed, and turning to Japp, he asked:

“Have you any idea, my friend, whether Mr. and Mrs. Davenheim occupied the same bedroom?”

The question seemed so ludicrously inappropriate that for a moment we both stared in silence. Then Japp burst into a laugh. “Good Lord, Monsieur Poirot, I thought you were coming out with something startling. As to your question, I’m sure I don’t know.”

“You could find out?” asked Poirot with curious persistence.

“Oh, certainly⁠—if you really want to know.”

“Merci, mon ami. I should be obliged if you would make a point of it.”

Japp stared at him a few minutes longer, but Poirot seemed to have forgotten us both. The detective shook his head sadly at me, and murmuring, “Poor old fellow! War’s been too much for him!” gently withdrew from the room.

As Poirot still seemed sunk in a daydream, I took a sheet of paper, and amused myself by scribbling notes upon it. My friend’s voice aroused me. He had come out of his reverie, and was looking brisk and alert.

“Que faites vous là, mon ami?”

“I was jotting down what occurred to me as the main points of interest in this affair.”

“You become methodical⁠—at last!” said Poirot approvingly.

I concealed my pleasure. “Shall I read them to you?”

“By all means.”

I cleared my throat.

“ ‘One: All the evidence points to Lowen having been the man who forced the safe.

“ ‘Two: He had a grudge against Davenheim.

“ ‘Three: He lied in his first statement that he had never left the study.

“ ‘Four: If you accept Billy Kellett’s story as true, Lowen is unmistakably implicated.’ ”

I paused. “Well?” I asked, for I felt that I had put my finger on all the vital facts.

Poirot looked at me pityingly, shaking his head very gently. “Mon pauvre ami! But it is that you have not the gift! The important detail, you appreciate him never! Also, your reasoning is false.”

“How?”

“Let me take your four points.

“One: Mr. Lowen could not possibly know that he would have the chance to open the safe. He came for a business interview. He could not know beforehand that Mr. Davenheim would be absent posting a letter, and that he would consequently be alone in the study!”

“He might have seized his opportunity,” I suggested.

“And the tools? City gentlemen do not carry round housebreaker’s tools on the off chance! And one could not cut into that safe with a penknife, bien entendu!”

“Well, what about Number Two?”

“You say Lowen had a grudge against Mr. Davenheim. What you mean is that he had once or twice got the better of him. And presumably those transactions were entered into with the view of benefiting himself. In any case you do not as a rule bear a grudge against a man you have got the better of⁠—it is more likely to be the other way about. Whatever grudge there might have been would have been on Mr. Davenheim’s side.”

“Well, you can’t deny that he lied about never having left the study?”

“No. But he may have been frightened. Remember, the missing man’s clothes had just been discovered in the lake. Of course, as usual, he would have done better to speak the truth.”

“And the fourth point?”

“I grant you that. If Kellett’s story is true, Lowen is undeniably implicated. That is what makes the affair so very interesting.”

“Then I did appreciate one vital fact?”

“Perhaps⁠—but you have entirely overlooked the two most important points, the ones which undoubtedly hold the clue to the whole matter.”

“And pray, what are they?”

“One, the passion which has grown upon Mr. Davenheim in the last few years for buying jewellery. Two, his trip to Buenos Aires last autumn.”

“Poirot, you are joking!”

“I am most serious. Ah, sacred thunder, but I hope Japp will not forget my little commission.”

But the detective, entering into the spirit of the joke, had remembered it so well that a telegram was handed to Poirot about eleven o’clock the next day. At his request I opened it and read it out:

“ ‘Husband and wife have occupied separate rooms since last winter.’ ”

“Aha!” cried Poirot. “And now we are in mid June! All is solved!”

I stared at him.

“You have no moneys in the bank of Davenheim and Salmon, mon ami?”

“No,” I said, wondering. “Why?”

“Because I should advise you to withdraw it⁠—before it is too late.”

“Why, what do you expect?”

“I expect a big smash in a few days⁠—perhaps sooner. Which reminds me, we will return the compliment of a dĂ©pĂȘche to Japp. A pencil, I pray you, and a form. VoilĂ ! ‘Advise you to withdraw any money deposited with firm in question.’ That will intrigue him, the good Japp! His eyes will open wide⁠—wide! He will not comprehend in the slightest⁠—until tomorrow, or the next day!”

I remained sceptical, but the morrow forced me to render tribute to my friend’s remarkable powers. In every paper was a

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