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ossibilities； such as the best way for a person to conceal himself in the second partment。
Then suddenly an idea seemed to strike him。 He clutched at Van Aldin's arm。
〃Mon Dieu； but that is something I have not thought of！ We must break our journey in Paris。 Quick； quick； let us alight at once。〃
Seizing suitcases he hurried from the train。 Van Aldin and Knighton； bewildered but obedient； followed him。 Van Aldin having once formed his opinion of Poirot's ability was slow to part from it。 At the barrier they were held up。 Their tickets were in charge of the conductor of the train； a fact which all three of them had forgotten。
Poirot's explanations were rapid； fluent； and impassioned； but they produced no effect upon the stolid…faced official。
〃Let us get quit of this；〃 said Van Aldin abruptly。 〃I gather you are in a hurry； Monsieur Poirot。 For God's sake pay the fares from Calais and let us get right on with whatever you have got in your mind。〃
But Poirot's flood of language had suddenly stopped dead； and he had the appearance of a man turned to stone。 His arm still outflung in an impassioned gesture； remained there as though stricken with paralysis。
〃I have been an imbecile；〃 he said simply。 〃Ma foi； I lose my head nowadays。 Let us return and continue our journey quietly。 With reasonable luck the train will not have gone。〃
They were only just in time； the train moving off as Knighton； the last of the three； swung himself and his suitcase on board。
The conductor remonstrated with them feelingly； and assisted them to carry their luggage back to their partments。 Van Aldin said nothing； but he was clearly disgusted at Poirot's extraordinary conduct。
Alone with Knighton for a moment or two； he remarked：
〃This is a wild goose chase。 The man has lost his grip on things。 He has got brains up to a point； but any man who loses his head and scuttles round like a frightened rabbit is no earthly darned good。〃
Poirot came to them in a moment or two； full of abject apologies and clearly so crestfallen that harsh words would have been superfluous。
Van Aldin received his apologies gravely； but managed to restrain himself from making acid ments。
They had dinner on the train； and afterwards； somewhat to the surprise of the other two； Poirot suggested that they should all three sit up in Van Aldin's partment。
The millionaire looked at him curiously。
〃Is there anything that you are keeping back from us； Monsieur Poirot？〃
〃I？〃 Poirot opened his eyes in innocent surprise。 〃But what an idea。〃
Van Aldin did not answer； but he was not satisfied。 The conductor was told that he need not make up the beds。 Any surprise he might have felt was obliterated by the largeness of the tip which Van Aldin handed to him。 The three men sat in silence。 Poirot fidgeted and seemed restless。 Presently he turned to the secretary。
〃Major Knighton； is the door of your partment bolted？ The door into the corridor； I mean。〃
〃Yes； I bolted it myself just now。〃
〃Are you sure？〃 said Poirot。
〃I will go and make sure； if you like；〃 said Knighton smiling。
〃No； no； do not derange yourself。 I will see for myself。〃
He passed through the connecting door and returned in a second or two； nodding his head。
〃Yes； yes； it is as you said。 You must pardon an old man's fussy ways。〃
He closed the connecting door and resumed his place in the right…hand corner。
The hours passed。 The three men dozed fitfully； waking with unfortable starts。
Probably never before had three people booked berths on the most luxurious train available； then declined to avail themselves of the acmodation they had paid for。
Every now and then Poirot glanced at his watch； and then nodded his head and posed himself to slumber once more。 On one occasion he rose from his seat and opened the connecting door； peered sharply into the adjoining partment； and then returned to his seat； shaking his head。
〃What is the matter？〃 whispered Knighton。 〃You are expecting something to happen； aren't you？〃
〃I have the nerves；〃 confessed Poirot。 〃I am like the cat upon the hot tiles。 Every little noise it makes me jump。〃
Knighton yawned。
〃Of all the darned unfortable journeys；〃 he murmured。 〃I suppose you know what you are playing at； Monsieur Poirot。〃
He posed himself to sleep as best he could。 Both he and Van Aldin had succumbed to slumber； when Poirot； glancing for the fourteenth time at his watch； leant across and tapped the millionaire on the shoulder。
〃Eh？ What is it？〃
〃In five or ten minutes； Monsieur； we shall arrive at Lyons。〃
〃My God！〃 Van Aldin's face looked white and haggard in the dim light。 〃Then it must have been about this time that poor Ruth was killed。〃
He sat staring straight in front of him。 His lips twitched a little； his mind reverting back to the terrible tragedy that had saddened his life。
There was the usual long screaming sigh of the brake； and the train slackened speed and drew into Lyons。 Van Aldin let down the window and leant out。
〃If it wasn't Derek … if your new theory is correct； it is here that the man left the train？〃 he asked over his shoulder。
Rather to his surprise Poirot shook his head。
〃No；〃 he said thoughtfully； 〃no man left the train； but I think … yes； I think； a woman may have done so。〃
Knighton gave a gasp。
〃A woman？〃 demanded Van Aldin sharply。
〃Yes； a woman；〃 said Poirot； nodding his head。 〃You may not remember； Monsieur Van Aldin； but Miss Grey in her evidence mentioned that a youth in a cap and overcoat descended on to the platform ostensibly to stretch his legs。 Me； I think that that youth was most probably a woman。〃
〃But who was she？〃
Van Aldin's face expressed incredulity； but Poirot replied seriously and categorically。
〃Her name … or the name under which she was known； for many years … is Kitty Kidd； but you； Monsieur Van Aldin； knew her by another name … that of Ada Mason。〃
Knighton sprang to his feet。
〃What？〃 he cried。
Poirot swung round to him。
〃Ah！ … before I forget it。〃 He whipped something from a pocket and held it out。
〃Permit me to offer you a cigarette … out of your own ciga