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〃Yes。〃
〃But there must have been more than that；〃 persisted Lenox。 〃He travelled by the same train； I know； but … that would not be enough to go on by itself。〃
〃A cigarette case with the letter 'K' on it which did not belong to Mrs Kettering was found in her carriage； and he was seen by two people entering and leaving the partment just before the train got into Lyons。〃
〃What two people？〃
〃Your friend Miss Grey was one of them。 The other was Mademoiselle Mirelle； the dancer。〃
〃And he； Derek； what has he got to say about it？〃 demanded Lenox sharply。
〃He denies having entered his wife's partment at all；〃 said Poirot。
〃Fool！〃 said Lenox crisply； frowning。 〃Just before Lyons； you say？ Does nobody know when … when she died？〃
〃The doctors' evidence necessarily cannot be very definite；〃 said Poirot； 〃they are inclined to think that death was unlikely to have occurred after leaving Lyons。 And we know this much； that a few moments after leaving Lyons Mrs Kettering was dead。〃
〃How do you know that？〃
Poirot was smiling rather oddly to himself。
〃Someone else went into her partment and found her dead。〃
〃And they did not rouse the train？〃
〃No。〃
〃Why was that？〃
〃Doubtless they had their reasons。〃
Lenox looked at him sharply。
〃Do you know the reason？〃
〃I think so … yes。〃
Lenox sat still turning things over in her mind。 Poirot watched her in silence。 At last he looked up。 A soft colour had e into her cheeks and her eyes were shining。
〃You think someone on the train must have killed her； but that need not be so at all。 What is to stop anyone swinging themselves on to the train when it stopped at Lyons？ They could go straight to her partment； strangle her； and take the rubies and drop off the train again without anyone being the wiser。 She may have been actually killed while the train was in Lyons station。 Then she would have been alive when Derek went in； and dead when the other person found her。〃
Poirot leant back in his chair。 He drew a deep breath。 He looked across at the girl and nodded his head three times； then he heaved a sigh。
〃Mademoiselle；〃 he said； 〃what you have said there is very just … very true。 I was struggling in darkness； and you have shown me a light。 There was a point that puzzled me and you have made it plain。〃
He got up。
〃And Derek？〃 said Lenox。
〃Who knows？〃 said Poirot； with a shrug of his shoulders。 〃But I will tell you this； Mademoiselle。 I am not satisfied； no； I； Hercule Poirot； am not yet satisfied。 It may be that this very night I shall learn something more。 At least； I go to try。〃
〃You are meeting someone？〃
〃Yes。〃
〃Someone who knows something？〃
〃Someone who might know something。 In these matters one must leave no stone unturned。 Au revoir； Mademoiselle。〃
Lenox acpanied him to the door。
〃Have I … helped？〃 she asked。
Poirot's face softened as he looked up at her standing on the doorstep above him。
〃Yes； Mademoiselle； you have helped。 If things are very dark； always remember that。〃
When the car had driven off he relapsed into a frowning absorption； but in his eyes was that faint green light which was always the precursor of the triumph to be。 He was a few minutes late at the rendezvous； and found that M。 Papopolous and his daughter had arrived before him。 His apologies were abject； and he outdid himself in politeness and small attentions。 The Greek was looking particularly benign and noble this evening； a sorrowful patriarch of blameless life； Zia was looking handsome and good…humoured。 The dinner was a pleasant one。 Poirot was his best and most sparkling self。 He told anecdotes； he made jokes； he paid graceful pliments to Zia Papopolous； and he told many interesting incidents of his career。 The menu was a carefully selected one； and the wine was excellent。
At the close of dinner M。 Papopolous inquired politely： 〃And the tip I gave you？ You have had your little flutter on the horse？〃
〃I am in munication with … er … my bookmaker；〃 replied Poirot。
The eyes of the two men met。
〃A well…known horse； eh？〃
〃No；〃 said Poirot； 〃it is what our friends； the English； call a dark horse。〃
〃Ah！〃 said M。 Papopolous thoughtfully。
〃Now we must step across to the Casino and have our little flutter at the roulette table；〃 cried Poirot gaily。
At the Casino the party separated； Poirot devoting himself solely to Zia； whilst Papopolous himself drifted away。
Poirot was not fortunate； but Zia had a run of good luck； and had soon won a few thousand francs。
〃It would be as well；〃 she observed drily to Poirot； 〃if I stopped now。〃
Poirot's eyes twinkled。
〃Superb！〃 he exclaimed。 〃You are the daughter of your father； Mademoiselle Zia。 To know when to stop。 Ah！ that is the art。〃
He looked round the rooms。
〃I cannot see your father anywhere about；〃 he remarked carelessly。 〃I will fetch your cloak for you； Mademoiselle； and we will go out in the gardens。〃
He did not； however； go straight to the cloak…room。 His sharp eyes had seen but a little while before the departure of M。 Papopolous。
He was anxious to know what had bee of the wily Greek。 He ran him to earth unexpectedly in the big entrance hall。
He was standing by one of the pillars； talking to a lady who had just arrived。 The lady was Mirelle。
Poirot sidled unostentatiously round the room。 He arrived at the other side of the pillar； and unnoticed by the two who were talking together in an animated fashion … or rather； that is to say； the dancer was talking； Papopolous contributing an occasional monosyllable and a good many expressive gestures。
〃I tell you I must have time；〃 the dancer was saying； 〃If you give me time I will get the money。〃
〃To wait …〃 the Greek shrugged his shoulders … 〃it is awkward。〃
〃Only a very little while；〃 pleaded the other。 〃Ah！ but you must！ A week … ten days … that is all I ask。 You can be sure of your affair。 The money will be forthing。〃
Papopolous shifted a little and looked round him uneasily … to find Poirot almost at his elbow with a beaming innocent face。
〃Ah！ vous voilà； M。 Papopolous。 I have been looking for you。 It is permitted that I take Mademoiselle Zia for a little turn in the gardens？ Good evening； Mademoiselle。〃 He bowed very low to Mirelle。 〃A thousand pardons that I did not see you immediately。〃
The dancer accepted his greetings rather impatiently。 She was clearly annoyed at the interruption of her tête…а…tête。 Poirot was quick to take the hint。 Papopolous had already murmured： 〃Certainly … but certainly；〃 and Poirot withdrew forthwith。 He fetched Zia's cloak； and together they strolled out into the gardens。
〃This is where the suicides take place；〃 said Zia。
Poirot shrugged his shoulders。 〃So it is said。 Men are foolish； are they not； Mademoiselle？ To eat； to drink； to breathe the good air； it is a very pleasant thing； Mademoiselle。 One is foolish to leave all that simply because one has no money … or because the heart aches。 L'amour； it causes many fatalities； does it not？〃
Zia laughed。
〃You should not laugh at love； Mademoiselle；〃 said Poirot； shaking an energetic forefinger at her。 〃You who are young and beautiful。〃
〃Hardly that；〃 said Zia； 〃you forget that I am thirty…three； M。 Poirot。 I am frank with you； because it is no good being otherwise。 As you told my father； it is exactly seventeen years since you aided us in Paris that time。〃
〃When I look at you； it seems much less；〃 said Poirot gallantly。 〃You were then very much as you are now； Mademoiselle； a little thinner； a little paler； a little more serious。 Sixteen years old and fresh from your pension。 Not quite the petite pensionnaire； not quite a woman。 You were very delicious； very charming； Mademoiselle Zia； others thought so too； without doubt。〃
〃At sixteen；〃 said Zia； 〃one is simple and a little fool。〃
〃That may be；〃 said Poirot； 〃yes； that well may be。 At sixteen one is credulous； is one not？ One believes what one is told。〃
If he saw the quick sideways glance that the girl shot at him； he pretended not to have done so。 He continued dreamily： 〃It was a curious affair that； altogether。 Your father； Mademoiselle； has never understood the true inwardness