Poirot gently collected every fragment of shell from his plate, placed them in the egg-cup, and reversed the empty egg-shell on top of them. This little operation concluded, he smiled on the neat effect, and then beamed affectionately on us both.

‘Come, my friends, you are men of intelligence. Ask yourself the question I asked myself. “If I were this man, where should I hide?” Hastings, what do you say?’

‘Well,’ I said, ‘I’m rather inclined to think I’d not do a bolt at all. I’d stay in London—in the heart of things, travel by tubes and buses; ten to one I’d never be recognized. There’s safety in a crowd.’

Poirot turned inquiringly to Japp.

‘I don’t agree. Get clear away at once—that’s the only chance. I would have had plenty of time to prepare things beforehand. I’d have a yacht waiting, with steam up, and I’d be off to one of the most out-of-the-way corners of the world before the hue and cry began!’

We both looked at Poirot. ‘What do you say, monsieur?’

For a moment he remained silent. Then a very curious smile flitted across his face.

‘My friends, if I were hiding from the police, do you know where I should hide? In a prison!’

‘What?’

‘You are seeking Monsieur Davenheim in order to put him in prison, so you never dream of looking to see if he may not be already there!’

‘What do you mean?’

‘You tell me Madame Davenheim is not a very intelligent woman. Nevertheless I think if you took her up to Bow Street and confronted her with the man Billy Kellett she would recognize him! In spite of the fact that he has shaved his beard and moustache and those bushy eyebrows, and has cropped his hair close. A woman nearly always knows her husband, though the rest of the world may be deceived.’

‘Billy Kellett? But he’s known to the police!’

‘Did I not tell you Davenheim was a clever man? He prepared his alibi long beforehand. He was not in Buenos Aires last autumn—he was creating the character of Billy Kellett, “doing three months”, so that the police should have no suspicions when the time came. He was playing, remember, for a large fortune, as well as liberty. It was worth while doing the thing thoroughly. Only—’

‘Yes?’