‘As arranged on Saturday,’ began the detective, ‘I went to Dijon yesterday and called on Mlle. Daudet in the rue Popeau. She seems a quiet, reliable girl, and, I think, truthful. She corroborated M. Boirac’s and the butler’s statements on every point, but added three details they omitted. The first was that Mme. Boirac took a wide-brimmed hat, but no hatpins. This seemed to strike the girl as very strange, and I asked why. She said because the hat was useless without the pins, as it would not stay on. I suggested the lady must have been so hurried she forgot them, but the girl did not think that possible. She said it would have taken no appreciable time to get the pins, as they were stuck in the cushion at Madame’s hand, and that a lady would put in hatpins quite automatically and as a matter of habit. In fact, had they been forgotten, the loose feel of the hat, even in the slight air caused by descending the stairs, would have at once called attention to the omission. She could offer no explanation of the circumstance. The second detail was that Madame took no luggage--not even a handbag with immediate necessaries for the night. The third seems more important still. On the morning of the dinner-party Madame sent Suzanne to the Hotel Continental with a note for Felix. Felix came out and instructed her to tell Madame he had her note and would come.’ ‘A curious point, that about the pins,’ said the Chief, and, after a few moments’ silence, he turned to Burnley and asked for his report. When this had been delivered and discussed he went on:-- ‘I also have some news. There has been a telephone call from the manager of the Hotel Continental. He says it can be established beyond doubt that Felix returned to the hotel at 1.30 on Sunday morning. He was seen by the hall porter, the lift boy, and the chamber-maid, all of whom are agreed on the time. All three also agree that he was in a quite normal condition, except that he was in a specially good humour and seemed pleased about something. The manager points out, however, that he was habitually good-humoured, so that there may be nothing remarkable about this.’ M. Chauvet took some cigars from a drawer and, having selected one, passed the box to the others. ‘Help yourselves, gentlemen. It seems to me that at this stage we should stop and see just where we stand, what we have learnt, if we have any tenable theory, and what still remains to be done. I am sure each of us has already done this, but three minds are better together than separate. What do you say, Mr. Burnley?’ ‘An excellent idea, monsieur,’ returned the Inspector, congratulating himself on his cogitations earlier in the day. ‘Perhaps you would tell us how you approached the problem, and we shall add our ideas as you go on?’ ‘I started, monsieur, with the assumption that the murder was the central factor of the whole affair, and the other incidents merely parts of a design to get rid of the body and divert suspicion.’