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outside was a raving lunatic. I can’t say that I envy Skeel his predicament; it was ticklish, y’ know. Rather! And the devastation went on. He could hear it even when the operations had passed from out his radius of vision. And he himself was caught like a rat in a trap, with no means of escape. A harrowin’ situation—my word!”

      Vance smoked a moment and then shifted his position slightly.

      “Y’ know, Markham, I imagine that the worst moment in the whole of Skeel’s checkered career came when that mysterious wrecker tried to open the closet door behind which he was crouching. Fancy! There he was cornered, and not two inches from him stood, apparently, a homicidal maniac trying to get to him, rattling that thin barricade of white pine.… Can you picture the blighter’s relief when the murderer finally released the knob and turned away? It’s a wonder he didn’t collapse from the reaction. But he didn’t. He listened and watched in a sort of hypnotic panic, until he heard the invader leave the apartment. Then, weak-kneed and in a cold sweat, he came forth and surveyed the battlefield.”

      Vance glanced about him.

      “Not a pretty sight—eh, what? And there on the davenport reclined the lady’s strangled body. That corpse was Skeel’s dominant horror. He staggered to the table to look at it, and steadied himself with his right hand—that’s how you got your fingerprints, Sergeant. Then the realization of his own position suddenly smote him. Here he was alone with a murdered person. He was known to have been intimate with the lady; and he was a burglar with a record. Who would believe that he was innocent? And though he had probably recognized the man who had negotiated the business, he was in no position to tell his story. Everything was against him—his sneaking in, his presence in the house at half past nine, his relations with the girl, his profession, his reputation. He hadn’t a chance in the world.… I say, Markham, would you have credited his tale?”

      “Never mind that,” retorted Markham. “Go on with your theory.” He and Heath had been listening with rapt interest.

      “My theory from this point on,” resumed Vance, “is what you might term self-developing. It proceeds on its own inertia, so to speak.—Skeel was confronted by the urgent problem of getting away and covering up his tracks. His mind in this emergency became keen and highly active; his life was forfeit if he didn’t succeed. He began to think furiously. He could have left by the side door at once without being seen; but then, the door would have been unbolted. And this fact, taken in connection with his earlier visit that night, would have suggested his manner of unbolting the door.… No, that method of escape wouldn’t do—decidedly it wouldn’t do. He knew he was likely, in any event, to be suspected of the murder, in view of his shady association with the lady and his general character. Motive, place, opportunity, time, means, conduct, and his own record—all were against him. Either he must cover up his tracks, don’t y’ know, or else his career as a Lothario was at an end. A sweet dilemma! He realized, of course, that if he could get out and leave that side door bolted on the inside, he’d be comparatively safe. No one could then explain how he had come in or gone out. It would establish his only possible alibi—a negative one, to be sure; but, with a good lawyer, he could probably make it hold. Doubtless he searched for other means of escape, but found himself confronted with obstacles on every hand. The side door was his only hope. How could it be worked?”

      Vance rose and yawned.

      Heath nodded his head oracularly.

      “A crook, no matter how clever he is, always overlooks something.”

      “Why single out crooks for your criticism, Sergeant?” asked Vance lazily. “Do you know of anybody in this imperfect world who doesn’t always overlook something?” He gave Heath a benignant smile. “Even the police, don’t y’ know, overlooked the tweezers.”

      Heath grunted. His cigar had gone out, and he relighted it slowly and thoroughly. “What do you think, Mr. Markham?”

      “The situation doesn’t become much clearer,” was Markham’s gloomy comment.

      “My theory isn’t exactly a blindin’ illumination,” said Vance. “Yet I wouldn’t say that it left things in pristine darkness. There are certain inferences to be drawn from my vagaries. To wit: Skeel either knew or recognized the murderer; and once he had made good his escape from the apartment and had regained a modicum of self-confidence, he undoubtedly blackmailed his homicidal confrere. His death was merely another manifestation of our inconnu’s bent for ridding himself of persons who annoyed him. Furthermore, my theory accounts for the chiseled jewel case, the fingerprints, the unmolested closet, the finding of the gems in the refuse tin—the person who took them really didn’t want them, y’ know—and Skeel’s silence. It also explains the unbolting and bolting of the side door.”

      “Yes,” sighed Markham. “It seems to clarify everything but the one all important point—the identity of the murderer.”

      “Exactly,” said Vance. “Let’s go to lunch.”

      Heath, morose and confused, departed for police headquarters; and Markham, Vance, and I rode to Delmonico’s, where we chose the main dining room in preference to the grill.

      “The case now would seem to center in Cleaver and Mannix,” said Markham, when we had finished our luncheon. “If your theory that the same man killed both Skeel and the Canary is correct, then Lindquist is out of it, for he certainly was in the Episcopal Hospital Saturday night.”

      “Quite,” agreed Vance. “The doctor is unquestionably eliminated.… Yes: Cleaver and Mannix—they’re the allurin’ twins. Don’t see any way to go beyond them.” He frowned and sipped his coffee. “My original quartet is dwindling, and I don’t like it. It narrows the thing down too much—there’s no scope for the mind, as it were, in only two choices. What if we should succeed in eliminating Cleaver and Mannix? Where would we be—eh, what? Nowhere—simply nowhere. And yet, one of the quartet is guilty; let’s cling to that consolin’ fact. It can’t be Spotswoode and it can’t be Lindquist. Cleaver and Mannix remain: two from four leaves two. Simple arithmetic, what? The only trouble is, this case isn’t simple. Lord, no!—I say, how would the equation work out if we used algebra, or spherical trigonometry, or differential calculus? Let’s cast it in the fourth dimension—or the fifth, or the sixth.…” He held his temples in both hands. “Oh, promise, Markham—promise me that you’ll hire a kind, gentle keeper for me.”

      “I

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