In something under three hours they returned. The expedition had been a complete success. They had gone direct to Bellini’s, preferring to take the risk that the manufacturer did not lunch at the same place each day, rather than that of following him again. And they were not disappointed. Towards twelve, Boirac had entered and taken his seat at what was probably the same table in the window. On his rising to leave, they had repeated La Touche’s manœuvre and Hill, just behind him when he was paying, had seen his finger. Instantly he had identified the scar. Indeed, before seeing it he had been sure from Boirac’s build and way of moving he was the man they sought. In the evening, La Touche gave Hill a good dinner, paid him well, and saw him off by the night train to London. Then he returned to his hotel, lit a cigar, and lay down on his bed to wrestle again with the problem of the alibi. He now knew that the alibi was faked. Boirac, beyond question, had been in London at 7.30 on the Tuesday evening. Therefore he could not have been at Charenton at 2.00. That was the ever-recurring difficulty, and he could see no way out. He took a piece of paper and wrote down the hours at which they definitely knew the manufacturer’s whereabouts. At 7.30 on Tuesday evening he was in London at Johnson’s carting establishment in Waterloo Road. From 10.00 till 11.00 next morning, Wednesday, he was with Hill, getting the cask from Waterloo to the shed. He could not have left London in the interval, so this meant that he must have been in the English capital from 7.30 o’clock on Tuesday evening till 11.00 on Wednesday morning. Then he was at the Hôtel Maximilian in Brussels at 11.00 on that same Wednesday evening. So much was certain beyond doubt or question. Did these hours work in? On Tuesday, frankly, they did not. What about Wednesday? Could a man who was in London at 11.00 in the morning be in Brussels at 11.00 the same evening? La Touche got his Continental Bradshaw. Here it was. London depart 2.20 p.m.; Brussels arrive 10.25 p.m. That seemed all right. A traveller arriving by that train would reach the Hôtel Maximilian ‘about 11.00.’ Then La Touche remembered that Boirac’s account of how he spent this day had not been substantiated. He had told Lefarge he had gone to his brother’s house at Malines, having forgotten that the latter was in Sweden. No confirmation of that statement was forthcoming. Neither the caretaker nor any one else had seen the manufacturer. La Touche was not long in coming to the conclusion he had never been there at all. No, he had crossed from London by the 2.20. Then the detective recalled the telephone. A message had been sent by Boirac from one of the cafés in the old town, asking the hotel clerk to reserve a room. That call had been received about eight o’clock. But at eight o’clock Boirac was not in the old town. He was on his journey from London.