Hill nodded his head.

‘A good idea, sir.’

‘Come, then, and let me get you a rig-out.’

They drove to shop after shop till the ex-policeman was supplied with new clothes from head to foot. Then they went to a theatrical property maker, where a flowing black beard and long moustache were fitted on. A pair of clear glass pince-nez completed the purchases. When, an hour later, Hill stood in La Touche’s room dressed up in his new disguise, no one who had known him before would have recognised the ex-policeman, still less the London carter.

‘Capital, Hill,’ said La Touche. ‘Your own mother wouldn’t know you.’

The detective had sent a wire for his assistant, and Mallet was waiting for them. La Touche introduced the two men and explained his plans.

‘We haven’t much more than time,’ said Mallet, ‘so if you’re ready, we’ll go on.’

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.