Neither she nor her husband knew about the dope smuggling. They fixed on Linda to be the scapegoat."
Rosamund said: "What a devil!"
Poirot nodded. "Yes, you are right. A cold-blooded and cruel woman.
For me, I was in great difficulty.
Was Linda guilty only of the childish attempt at witchcraft, or had her hate carried her still further - to the actual act?
I tried to get her to confess to me.
But it was no good.
At that moment I was in grave uncertainty.
The Chief Constable was inclined to accept the dope smuggling explanation.
I could let it go at that. I went over the facts again very carefully.
I had, you see, a collection of jig saw puzzle pieces, isolated happenings - plain facts. The whole must fit into a complete and harmonious pattern.
There were the scissors found on the beach - a bottle thrown from a window - a bath that no one would admit to having taken - all perfectly harmless occurrences in themselves, but rendered significant by the fact that no one would admit to them.
Therefore, they must be of significance.
Nothing about them fitted in with the theories of either Captain Marshall's or Linda's or of a dope gang's being responsible.
And yet they must having meaning.
I went back again to my first solution - that Patrick Redfern had committed the murder.
Was there anything in support of that?
Yes, the fact that a very large sum of money was missing from Arlena's account.
Who had got that money?
Patrick Redfern, of course.
She was the type of woman easily swindled by a handsome young man - but she was not at all the type of woman to be blackmailed.
She was far too transparent, not good enough at keeping a secret. The blackmailer story had never rung true to my mind.
And yet there had been that conversation overheard - ah, but overheard by whom?
Patrick Redfern's wife.
It was her story - unsupported by any outside evidence.
Why was it invented?
The answer came to me like lightning. To account for the absence of Arlena's money!
"Patrick and Christine Redfern. The two of them were in it together.
Christine hadn't got the physical strength to strangle her or the mental make-up.
No, it was Patrick who had done it - but that was impossible! Every minute of his time was accounted for until the body was found.
Body - the word body stirred something in my mind - bodies lying on the beach - all alike. Patrick Redfern and Emily Brewster had got to the cove and seen a body lying there.
A body - suppose it was not Arlena's body but somebody else's? The face was hidden by the great Chinese hat.
"But there was only one dead body - Arlena's. Then, could it be - a live body - some one pretending to be dead?
Could it be Arlena herself, inspired by Patrick to play some kind of a joke.
I shook my head - no, too risky.
A live body - whose? Was there any woman who would help Redfern?
Of course - his wife.
But she was a white-skinned delicate creature - Ah, yes, but suntan can be applied out of bottles - bottles - a bottle - I had one of my jig saw pieces.
Yes, and afterwards, of course, a bath - to wash the tell-tale stain off before she went out to play tennis. And the scissors?
Why, to cut up the duplicate cardboard hat - an unwieldy thing that must be got out of the way, and in the haste the scissors were left behind - the one thing that the pair of murderers forgot.
"But where was Arlena all the time?
That again was perfectly clear.
Either Rosamund Darnley or Arlena Marshall had been in the Pixy's Cave, the scent they both used told me that.
It was certainly not Rosamund Darnley. Then it was Arlena, hiding till the coast should clear.
"When Emily Brewster went off in the boat, Patrick had the beach to himself and full opportunity to commit the crime.
Arlena Marshall was killed after a quarter to twelve but the medical evidence was only concerned with the earliest possible time the crime could have been committed.
That Arlena was dead at a quarter to twelve was what was told to the doctor, not what he told the police.
"Two more points had to be settled.
Linda Marshall's evidence gave Christine Redfern an alibi.
Yes, but that evidence depended on Linda Marshall's wrist-watch.