M. Hautet leaned back, shaking his head, with a sort of mournful enjoyment, as he envisaged the gloomy prospect. He roused himself at length, and observed with a start. “That reminds me. I have here a letter for you, M. Poirot. Let me see, where did I put it?” He proceeded to rummage amongst his papers. At last he found the missive, and handed it to Poirot. “It was sent under cover to me in order that I might forward it to you,” he explained. “But as you left no address I could not do so.” Poirot studied the letter curiously. It was addressed in a long, sloping, foreign hand, and the writing was decidedly a woman’s. Poirot did not open it. Instead he put it in his pocket and rose to his feet. “_A demain___ then, M. le juge. Many thanks for your courtesy and amiability.” “But not at all. I am always at your service. These young detectives of the school of Giraud, they are all alike—rude, sneering fellows. They do not realize that an examining magistrate of my—er—experience is bound to have a certain discernment, a certain—_flair___. _Enfin!___ the politeness of the old school is infinitely more to my taste. Therefore, my dear friend, command me in any way you will. We know a thing or two, you and I—eh?” And laughing heartily, enchanted with himself and with us, M. Hautet bade us adieu. I am sorry to have to record that Poirot’s first remark to me as we traversed the corridor was: “A famous old imbecile, that one! Of a stupidity to make pity!” We were just leaving the building when we came face to face with Giraud, looking more dandified than ever, and thoroughly pleased with himself. “Aha! M. Poirot,” he cried airily. “You have returned from England then?” “As you see,” said Poirot. “The end of the case is not far off now, I fancy.” “I agree with you, M. Giraud.” Poirot spoke in a subdued tone. His crest-fallen manner seemed to delight the other. “Of all the milk and water criminals! Not an idea of defending himself. It is extraordinary!” “So extraordinary that it gives one to think, does it not?” suggested Poirot mildly. But Giraud was not even listening. He twirled his cane amicably. “Well, good day, M. Poirot. I am glad you’re satisfied of young Renauld’s guilt at last.” “_Pardon!___ But I am not in the least satisfied. Jack Renauld is innocent.” Giraud stared for a moment—then burst out laughing, tapping his head significantly with the brief remark: “_Toqué!___” Poirot drew himself up. A dangerous light showed in his eyes. “M. Giraud, throughout the case your manner to me has been deliberately insulting! You need teaching a lesson. I am prepared to wager you 500 francs that I find the murderer of M. Renauld before you do. Is it agreed?” Giraud stared helplessly at him, and murmured again: “_Toqué!___” “Come now,” urged Poirot, “is it agreed?” “I have no wish to take your money from you.” “Make your mind easy—you will not!”