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"You have a pocket in the shirt of your pajamas?"

"Yes," came the wondering reply.

"And when you are called at night you pick up your watch and put it in that pocket?"

"Yes."

"Thanks. Good-bye."

Then The Thinking Machine turned to Hatch.

"We are safe in believing," he said, "that Mr. De Forrest was not killed by a thief, because his valuables were undisturbed, therefore we must believe that the person who killed him was an acquaintance. It would be unfair to act hastily, so I shall ask you to devote three or four days to getting this man's history in detail; see his friends and enemies, find out all about him, his life, his circumstances, his love affairs-all those things."

Hatch nodded; he was accustomed to receiving large orders from The Thinking Machine.

"If you uncover nothing in that line to suggest another line of investigation I will give you the name of the person who killed him and an arrest will follow. The murderer will not run away. The solution of the affair is quite clear, unless--" he emphasized the word- "unless some unknown fact gives it another turn."

Hatch was forced to be content with that and for the specified four days laboured arduously and vainly. Then he returned to The Thinking Machine and summed up results briefly in one word: "Nothing."

The Thinking Machine went out and was gone two hours. When he returned he went straight to the 'phone and called Detective Mallory. The detective appeared after a few minutes.

"Have one of your men go at once and arrest Mr. Chase," The Thinking Machine instructed. "You might explain to him that there is new evidence-an eye witness if you like. But don't mention my name or this place to him. Anyway bring him here and I'll show you the flaw in the perfect alibi he set up!"

Detective Mallory started to ask questions.

"It comes down simply to this," interrupted The Thinking Machine impatiently. "Somebody killed Mr. De Forrest and that being true it must be that that somebody can be found. Please, when Mr. Chase comes here do not interrupt me, and introduce me to him as an important new witness."

An hour later Franklin Chase entered with Detective Mallory. He was somewhat pale and nervous and in his eyes lay a shadow of apprehension. Over it all was the gloss of ostentatious nonchalance and self control. There were introductions. Chase started visibly at actual reference to the "important new witness."

"An eye witness," added The Thinking Machine.

Positive fright came into Chase's manner and he quailed under the steady scrutiny of the narrow blue eyes. The Thinking Machine dropped back into his chair and pressed his long, white fingers tip to tip.

"If you'll just follow me a moment, Mr. Chase," he suggested at last. "You know Dr. Sitgreaves, of course? Yes. Well, it just happens that I have a room a block or so away from his house around the corner. These are Mr. Hatch's apartments." He stated it so convincingly that there was no possibility of doubt. "Now my room faces straight up an alley which runs directly back of Dr. Sitgreaves's house. There is an electric light at the corner."

Chase started to say something, gulped, then was silent.

"I was in my room the night of Mr. De Forrest's murder," went on the scientist, "and was up moving about because I, too, had a toothache. It just happened that I glanced out my front window." His tone had been courteous in the extreme; now it hardened perceptibly. "I saw you, Mr. Chase, come along the street, stop at the alley, glance around and then go into the alley. I saw your face clearly under the electric light, and that was at twenty minutes to three o'clock. Detective Mallory has just learned of this fact and I have signified my willingness to go on the witness stand and swear to it."

The accused man was deathly white now; his face was working strangely, but still he was silent. It was only by a supreme effort that he restrained himself.

"I saw you open a gate and go into the back yard of Dr. Sitgreaves's house," resumed The Thinking Machine. "Five minutes or so later you came out and walked on to the cross street, where you disappeared. Naturally I wondered what it meant. It was still in my mind about half past three o'clock, possibly later, when I saw you enter the alley again, disappear in the same yard, then come out and go away."

"I-I was not-not there," said Chase weakly. "You were-were mistaken."

"When we know," continued The Thinking Machine steadily, "that you entered that house before you entered by the front door, we know that you tampered with Dr. Sitgreaves's watch and clock, and when we know that you tampered with those we know that you murdered Mr. De Forrest as his dying note stated. Do you see it?"

Chase arose suddenly and paced feverishly back and forth across the room; Detective Mallory discreetly moved his chair in front of the door. Chase saw and understood.

"I know how you tampered with the clock so as not to interfere with its action or cause any variation at the testing apparatus. You were too superbly clever to stop it, or interfere with the circuit. Therefore I see that you simply took out the pin which held on the hands and moved them backward one hour. It was then actually a quarter of three-you made it a quarter of two. You showed your daring by invading the dentist's sleeping room. You found his watch on a table beside his bed, set that with the clock, then went out, spoke to Policeman Gillis whose number you noted and rang the front door bell. After you left by the front door you allowed time for the household to get quiet again, then re-entered from the rear and reset the watch and clock. Thus your alibi was perfect. You took desperate chances and you knew it, but it was necessary."

The Thinking Machine stopped and squinted up into the pallid face. Chase made a hopeless gesture with his hands and sat down, burying his face.

"It was clever, Mr. Chase," said the scientist finally. "It is the only murder case I know where the criminal made no mistake. You probably killed Mr. De Forrest in a fit of anger, left there while the elevator boy was upstairs, then saw the necessity of protecting yourself and devised this alibi at the cost of one tooth. Your only real danger was when you made Patrolman Gillis your witness, taking the desperate chance that he did not know or would not remember just when you spoke to him."

Again there was silence. Finally Chase looked up with haggard face.

"How did you know all this?" he asked.

"Because under the exact circumstances, nothing else could have happened," replied the scientist. "The simplest rules of logic proved conclusively that this did happen." He straightened up in the chair. "By the way," he asked, "what was the motive of the murder?"

"Don't you know?" asked Chase, quickly.

"No."

"Then you never will," declared Chase, grimly.

When Chase had gone with the detective, Hatch lingered with The Thinking Machine.

"It's perfectly astonishing," he said. "How did you get at it anyway?"

"I visited the neighbourhood, saw how it could have been done, learned through your investigation that no one else appeared in the case, then, knowing that this must have happened, tricked Mr. Chase into believing I was an eye witness to the incident in the alley. That was the only way to make him confess. Of course there was no one else in it."

One of the singular points in the Chase murder trial was that while the prisoner was convicted of murder on his own statement no inkling of a motive ever appeared.

_________________________.

PROBLEM OF THE RED ROSE.

Through the open windows of a pleasantly sunny little sitting room a lazy breath of early summer drifted in, and gently stirred the wayward hair of a girl who leaned forward over a small writing desk with her head resting upon one white fore arm, and her face hidden. Her attitude was one of utter collapse, complete abandonment perhaps to grief or perhaps to actual physical suffering; yet there was no movement of the slender, graceful body, nothing to indicate even a passive interest in her surroundings-just this silent, motionless figure, alone.

One arm, the left, swung down listlessly at her side, and in that hand she held a single red rose, a splendid, full blown crimson blossom. The thorny stem touched the floor, and the leaves swayed rhythmically, playthings of the caressing breeze. On the green stem, just below the girl's tightly clenched hand, was a single stain-a drop of blood-as if the thorn had pierced the delicate flesh. On the desk, from which dainty writing trinkets had been pushed back, was a florist's box, open. It was from this box evidently that the red rose had been taken. The wax paper which had been wrapped round the flower was torn.

A Dresden clock on the mantel whirred faintly and chimed the hour of five; but the girl gave not the slightest indication of having heard. And then after a moment a door opened and a maid appeared. She paused as her eyes fell upon the figure of the young woman, made as if to speak, then instead silently withdrew, leaving the door slightly open. She did not seem surprised that no notice was taken of her. A dozen times she had found her young mistress like this, and it was always after the box had come from the florist's with the single red rose. She sighed a little as she went out.

The hands of the clock crept on round the dial slowly, to five minutes past the hour, then to ten, and finally to fifteen. Then there came a scampering of soft feet along the hall, and a white, shaggy little dog thrust his head in at the door inquisitively. Helterskelter he came tumbling in and planted two soiled fore feet in the girl's lap as he awaited the caress which was always ready for him. Now it didn't come. He backed away and regarded her thoughtfully. It must be some new sort of game she was playing. He crouched on the floor and barked playfully; but she didn't look round.

Evidently this was not what was expected of him. He scampered back and forth across the room twice, then returned to the motionless figure and placed his feet in her lap again. She wouldn't look. He barked, whined softly, then off like the wind round the room again. He stopped on her left side this time-the side where the arm swung down, and the hand clutched the rose. His moist tongue caressed the closed hand, and sniffed at it insistently. Suddenly he seemed dazed, and reeled uncertainly as if from an unexpected blow. He whined again as if choking; there was a rattle in his shaggy throat; and then began a violent whirling, twisting, which continued till he fell. After awhile he lay still with all four feet turned upward and glazed, staring eyes. And yet the girl hadn't moved.

The hands of the clock crept on. At five minutes of six o'clock the maid appeared at the door again, paused for a moment, then ventured in. "Will you dress for dinner, ma'am?" she inquired.

The girl didn't answer.

"It's nearly six o'clock, ma'am," said the maid.

Still there was no answer.

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