The Chief tossed away the papers and looked at Burnley.

‘No other disappearances have been reported, nor have we any further information here that would seem to help. I am afraid we must fall back on our other clues. Let us consider, therefore, where we should start.’

He paused for a few moments and then resumed.

‘We may begin, I think, by checking the part of Felix’s statement which you, Mr. Burnley, have not yet been able to inquire into, and to do so we must interview M. Le Gautier and try to ascertain if he wrote the letter. If he admits it we will be a step farther on, if not, we must find out how far the story of the lottery and the bet is true, and whether the conversation described by Felix actually took place. In this case we must ascertain precisely who were present and overheard that conversation, and would therefore have the knowledge necessary to write that letter. If this does not give us what we want, it may be necessary to follow up each of these persons and try for our man by elimination. A part of that inquiry would be a search for the typewriter used, which, as Mr. Burnley points out, is identifiable. Simultaneously, I think we should endeavour to trace the wearing apparel and the cask. What do you think of that, gentlemen, for a rough programme?’

‘I don’t think we could do better, sir,’ returned Burnley as the Chief looked at him, while Lefarge nodded his approval.

‘Very well, I would suggest that you and Lefarge go into the matter of the letter to-morrow. Arrange your programme as you think best for yourselves and keep me advised of how you get on. And now as to the clothes. Let me see exactly what you have.’

Burnley spread out the dead woman’s clothes and jewellery on a table. The Chief examined them for some minutes in silence.

‘Better separate them into three lots,’ he said at length, ‘the dress, the underclothes, and the trinkets. It will take three to work it properly.’ He consulted his card index and picked up the telephone.

‘Send Mme. Furnier and Mlles. Lecoq and Blaise here.’

In a few seconds three stylishly dressed women entered. The Chief introduced Burnley and briefly explained the case.