'What I can't understand, sir, is this,' said Donovan. 'I never went near the window - how did the blood come on my hand?'

'My young friend, the answer to that stares you in the face. Of what colour is the tablecloth? Red, is it not? and doubtless you did put your hand on the table.'

'Yes, I did. Is that -' He stopped.

Poirot nodded. He was bending over the table. He indicated with his hand a dark patch on the red.

'It was here that the crime was committed,' he said solemnly.

'The body was moved afterwards.'

Then he stood upright and looked slowly round the room. He did not move, he handled nothing, but nevertheless the four watching felt as though every object in that rather frowsty place gave up its secret to his observant eye.

Hercule Poirot nodded his head as though satisfied. A little sigh escaped him. 'I see,' he said.

'You see what?' asked Donovan curiously.

'I see,' said Poirot, 'what you doubtless felt - that the room is overfull of furniture.' Donovan smiled ruefully. 'I did go barging about a bit,' he confessed. 'Of course, everything was in a different place to Pat's room, and I couldn't make it out.' 'Not everything,' said Poirot.

Donovan looked at him inquiringly.

'I mean,' said Poirot apologetically, 'that certain things are alway fixed. In a block of flats the door, the window, the fireplace - they are in the same place in the rooms which are below each other.' 'Isn't that rather splitting hairs?' asked Mildred. She was looking at Poirot with faint disapproval.

'One should always speak with absolute accuracy. That is a little - how do you say? - fad of mine.' There was the noise of footsteps on the stairs, and three men came in. They were a police inspector, a constable, and the divisional surgeon. The inspector recognized Poirot and greeted him in an almost reverential manner. Then he turned to the others.

'I shall want statements from everyone,' he began, 'but in the first place - ' Poirot interrupted. 'A little suggestion. We will go back to the flat upstairs and mademoiselle here shall do what she was planning to do - make us an omelette. Me, I have a passion for the omelettes.

Then, M. l'Inspecteur, when you have finished here, you will mount to us and ask questions at your leisure.' It was arranged accordingly, and Poirot went up with them.

'M. Poirot,' said Pat, 'I think you're a perfect dear. And you shall have a lovely omelette. I really make omelettes frightfully well.' 'That is good. Once, mademoiselle, I loved a beautiful young English girl, who resembled you greatly - but alasl - she could not cook. So perhaps everything was for the best.' There was a faint sadness in his voice, and Jimmy Faulkener looked at him curiously.

Once in the flat, however, he exerted himself to please and amuse. The grim tragedy below was almost forgotten.

The omelette had been consumed and duly praised by the time that Inspector Rice's footsteps were heard. He came in accom-panied by the doctor, having left the constable below.

'Well, Monsieur Poirot,' he said. 'It all seems clear and above-board - not much in your line, though we may find it hard to catch the man. I'd just like to hear how the discovery came to be made.'

Donovan and Jimmy between them recounted the happenings of the evening. The inspector turned reproachfully to Pat.

'You shouldn't leave your lift door unbolted, miss. You really shouldn't.'

'I shan't again,' said Pat, with a shiver. 'Somebody might come in and murder me like that poor woman below.'

'Ah, but they didn't come in that way, though,' said the inspector.

'You will recount to us what you have discovered, yes?' said Poirot.

'I don't know as I ought to - but seeing it's you, M. Poirot -'

'Pricisdment,' said Poirot. 'And these young people - they will be discreet.'

'The newspapers will get hold of it, anyway, soon enough,' said the inspector. 'There's no real secret about the matter. Well, the dead woman's Mrs Grant, all right. I had the porter up to identify her. Woman of about thirty-five. She was sitting at the table, and she was shot with an automatic pistol of small calibre, probably by someone sitting opposite her at table. She fell forward, and that's how the bloodstain came on the table.'

'But wouldn't someone have heard the shot?' asked Mildred.

'The pistol was fitted with a silencer. No, you wouldn't hear anything. By the way, did you hear the screech the maid let out when we told her her mistress was dead? No. Well, that just shows how unlikely it was that anyone would hear the other.'

'Has the maid no story to tell?' asked Poirot.

'It was her evening out. She's got her own key. She came in about ten o'clock. Everything was quiet. She thought her mistress had gone to bed.'

'She did not look in the sitting-room, then?'

'Yes, she took the letters in there which had come by the

evening post, but she saw nothing unusual - any more than Mr Faulkener and Mr Bailey did. You see, the murderer had concealed the body rather neatly behind the curtains.'

'But it was a curious thing to do, don't you think?'

Poirot's voice was very gentle, yet it held something that made the inspector look up quickly.

'Didn't want the crime discovered till he'd had time to make his getaway.'

'Perhaps, perhaps - but continue with what you were saying.' 'The maid went out at five o'clock. The doctor here puts the time of death as - roughly - about four to five hours ago. That's right, isn't it?'

The doctor, who was a man of few words, contented himself with jerking his head affirmatively.

'It's a quarter to twelve now. The actual time can, I think, be narrowed down to a fairly definite hour.'

He took out a crumpled sheet of paper.

'We found this in the pocket of the dead woman's dress. You needn't be afraid of handling it. There are no fingerprints on it.'

Poirot smoothed out the sheet. Across it some words were printed in small, prim capitals.

I WILL COME TO SEE YOU THIS EVIING AT HALF PAST SEVEN.

'A compromising document to leave behind,' commented Poirot, as he handed it back.

'Well, he didn't know she'd got it in her pocket,' said the inspector. 'He probably thought she'd destroyed it. We've evidence that he was a careful man, though. The pistol she was shot with we found under the body - and there again no fingerprints.

They'd been wiped off very carefully with a silk handkerchief.'

'How do you know,' said Poirot, 'that it was a silk handker-chief?'

'Because we found it,' said the inspector triumphantly. 'At the last, as he was drawing the curtains, he must have let it fall unnoticed.'

He handed across a big white silk handkerchief - a good-quality handkerchief. It did not need the inspector's finger to draw Poirot's attention to the mark on it in the centre. It was neatly marked and quite legible. Poirot read the name out.

'John Fraser.' 'That's it,' said the inspector. 'John Fraser - J.F. in the note.

We know the name of the man we have to look for, and I dare say when we find out a little about the dead woman, and her relations come forward, we shall soon get a line on him.' 'I wonder,' said Poirot. 'No, mon cher, somehow I do not think he will be easy to find, your John Fraser. He is a strange man-careful, since he marks his handkerchiefs and wipes the pistol with which he has committed the crime - yet careless since he loses his handkerchief and does not search for a letter that might incriminate him.' 'Flurried, that's what he was,' said the inspector.

'It is possible,' said Poirot. 'Yes, it is possible. And he was not seen entering the building?' 'There are all sorts of people going in and out at the time. These are big blocks. I suppose none of you - ' he addressed the four collectively - 'saw anyone coming out of the flat?' Pat shook her head. 'We went out earlier - about seven o'clock.' 'I see.' The inspector rose. Poirot accompanied him to the door.