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lieutenant, that I can't understand the workings of a military organization."

Hector shook his head ruefully, "Neither do I, sir."

VII

The next week was an enervatingly slow one for Leoh, evenly divided between tedious checking of each component of the dueling machine, and shameless ruses to keep Hector as far away from the machine as possible.

The Star Watchman certainly wanted to help, and he actually was little short of brilliant in doing intricate mathematics completely in his head. But he was, Leoh found, a clumsy, chattering, whistling, scatterbrained, inexperienced bundle of noise and nerves. It was impossible to do constructive work with him nearby.

Perhaps you're judging him too harshly, Leoh warned himself. You just might be letting your frustrations with the dueling machine get the better of your sense of balance.

The professor was sitting in the office that the Acquatainians had given him in one end of the former lecture hall that held the dueling machine. Leoh could see its impassive metal hulk through the open office door.

The room he was sitting in had been one of a suite of offices used by the permanent staff of the machine. But they had moved out of the building completely, in deference to Leoh, and the Acquatainian government had turned the other cubbyhole offices into sleeping rooms for the professor and the Star Watchman, and an auto-kitchen. A combination cook-valet-handyman appeared twice each dayโ€”morning and eveningโ€”to handle any special chores that the cleaning machines and auto-kitchen might miss.

Leoh slouched back in his desk chair and cast a weary eye on the stack of papers that recorded the latest performances of the machine. Earlier that day he had taken the electroencephalographic records of clinical cases of catatonia and run them through the machine's input unit. The machine immediately rejected them, refused to process them through the amplification units and association circuits.

In other words, the machine had recognized the EEG traces as something harmful to a human being.

Then how did it happen to Dulaq? Leoh asked himself for the thousandth time. It couldn't have been the machine's fault; it must have been something in Odal's mind that simply overpowered Dulaq's.

"Overpowered?" That's a terribly unscientific term, Leoh argued against himself.

Before he could carry the debate any further, he heard the main door of the big chamber slide open and then bang shut, and Hector's off-key whistle shrilled and echoed through the high-vaulted room.

Leoh sighed and put his self-contained argument off to the back of his mind. Trying to think logically near Hector was a hopeless prospect.

"Are you in, doctor?" Hector's voice rang out.

"In here."

Hector ducked in through the doorway and plopped his rangy frame on the office's couch.

"Everything going well, sir?"

Leoh shrugged. "Not very well, I'm afraid. I can't find anything wrong with the dueling machine. I can't even force it to malfunction."

"Well, that's good, isn't it?" Hector chirped happily.

"In a sense," Leoh admitted, feeling slightly nettled at the youth's boundless, pointless optimism. "But, you see, it means that Kanus' people can do things with the machine that I can't."

Hector frowned, considering the problem. "Hm-m-m ... yes, I guess that's right, too, isn't it?"

"Did you see the girl back to her ship safely?" Leoh asked.

"Yes, sir," Hector replied, bobbing his head vigorously. "She's on her way back to the communications booth at the space station. She said to tell you she enjoyed her visit very much."

"Good. It was, eh, very good of you to escort her about the campus. It kept her out of my hair ... what's left of it, that is."

Hector grinned. "Oh, I liked showing her around, and all thatโ€”And, well, it sort of kept me out of your hair, too, didn't it?"

Leoh's eyebrows shot up in surprise.

Hector laughed. "Doctor, I may be clumsy, and I'm certainly no scientist ... but I'm not completely brainless."

"I'm sorry if I gave you that impressionโ€”"

"Oh no ... don't be sorry. I didn't mean that to sound so ... well, the way it sounded ... that is. I know I'm just in your wayโ€”" He started to get up.

Leoh waved him back to the couch. "Relax, my boy, relax. You know, I've been sitting here all afternoon wondering what to do next. Somehow, just now, I came to a conclusion."

"Yes?"

"I'm going to leave the Acquataine Cluster and return to Carinae."

"What? But you can't! I meanโ€”"

"Why not? I'm not accomplishing anything here. Whatever it is that this Odal and Kanus have been doing, it's basically a political problem, and not a scientific one. The professional staff of the machine here will catch up to their tricks sooner or later."

"But, sir, if you can't find the answer, how can they?"

"Frankly, I don't know. But, as I said, this is a political problem more than a scientific one. I'm tired and frustrated and I'm feeling my years. I want to return to Carinae and spend the next few months considering beautifully abstract problems about instantaneous transportation devices. Let Massan and the Star Watch worry about Kanus."

"Oh! That's what I came to tell you. Massan has been challenged to a duel by Odal!"

"What?"

"This afternoon, Odal went to the Council building. Picked an argument with Massan right in the main corridor and challenged him."

"Massan accepted?" Leoh asked.

Hector nodded.

Leoh leaned across his desk and reached for the phone unit. It took a few minutes and a few levels of secretaries and assistants, but finally Massan's dark, bearded face appeared on the screen above the desk.

"You have accepted Odal's challenge?" Leoh asked, without preliminaries.

"We meet next week," Massan replied gravely.

"You should have refused."

"On what pretext?"

"No pretext. A flat refusal, based on the certainty that Odal or someone else from Kerak is tampering with the dueling machine."

Massan shook his head sadly. "My dear learned sir, you still do not comprehend the political situation. The Government of the Acquataine Cluster is much closer to dissolution than I dare to admit openly. The coalition of star groups that Dulaq had constructed to keep the Kerak Worlds neutralized has broken apart completely. This morning, Kanus announced that he would annex Szarno. This afternoon, Odal challenges me."

"I think I seeโ€”"

"Of course. The Acquatainian Government is paralyzed now, until the outcome of the duel is known. We cannot effectively intervene in the Szarno crisis until we know who will be heading the Government next week. And, frankly, more than a few members of our Council are now openly favouring Kanus and urging that we establish friendly relations with him before it is too late."

"But, that's all the more reason for refusing the duel," Leoh insisted.

"And be accused of cowardice in my own Council meetings?" Massan smiled grimly. "In politics, my dear sir, the appearance of a man means much more than his substance. As a coward, I would soon be out of office. But perhaps, as the winner of a duel against the invincible Odal ... or even as a martyr ... I may accomplish something useful."

Leoh said nothing.

Massan continued, "I put off the duel for a week, hoping that in that time you might discover Odal's secret. I dare not postpone the duel any longer; as it is, the political situation may collapse about our heads at any moment."

"I'll take this machine apart and rebuild it again, molecule by molecule," Leoh promised.

As Massan's image faded from the screen, Leoh turned to Hector. "We have one week to save his life."

"And avert a war, maybe," Hector added.

"Yes." Leoh leaned back in his chair and stared off into infinity.

Hector shuffled his feet, rubbed his nose, whistled a few bars of off-key tunes, and finally blurted, "How can you take apart the dueling machine?"

"Hm-m-m?" Leoh snapped out of his reverie.

"How can you take apart the dueling machine?" Hector repeated. "Looks like a big job to do in a week."

"Yes, it is. But, my boy, perhaps we ... the two of us ... can do it."

Hector scratched his head. "Well, uh, sir ... I'm not very ... that is, my mechanical aptitude scores at the Academyโ€”"

Leoh smiled at him. "No need for mechanical aptitude, my boy. You were trained to fight, weren't you? We can do the job mentally."

VIII

It was the strangest week of their lives.

Leoh's plan was straightforward: to test the dueling machine, push it to the limits of its performance, by actually operating itโ€”by fighting duels.

They started off easily enough, tentatively probing and flexing their mental muscles. Leoh had used the dueling machine himself many times in the past, but only in tests of the machines' routine performance. Never in actual combat against another human being. To Hector, of course, the machine was a totally new and different experience.

The Acquatainian staff plunged into the project without question, providing Leoh with invaluable help in monitoring and analyzing the duels.

At first, Leoh and Hector did nothing more than play hide-and-seek, with one of them picking an environment and the other trying to find his opponent in it. They wandered through jungles and cities, over glaciers and interplanetary voids, seeking each otherโ€”without ever leaving the booths of the dueling machine.

Then, when Leoh was satisfied that the machine could reproduce and amplify thought patterns with strict fidelity, they began to fight light duels. The fenced with blunted foilsโ€”Hector won, of course, because of his much faster reflexes. Then they tried other weaponsโ€”pistols, sonic beams, grenadesโ€”but always wearing protective equipment. Strangely, even though Hector was trained in the use of these weapons, Leoh won almost all the bouts. He was neither faster nor more accurate, when they were target-shooting. But when the two of them faced each other, somehow Leoh almost always won.

The machine project more than thoughts, Leoh told himself. It projects personality.

They worked in the dueling machine day and night now, enclosed in the booths for twelve or more hours a day, driving themselves and the machine's regular staff to near-exhaustion. When they gulped their meals, between duels, they were physically ragged and sharp-tempered. They usually fell asleep in Leoh's office, while discussing the results of the day's work.

The duels grew slowly more serious. Leoh was pushing the machine to its limits now, carefully extending the rigors of each bout. And yet, even though he knew exactly what and how much he intended to do in each fight, it often took a conscious effort of will to remind himself that the battles he was fighting were actually imaginary.

As the duels became more dangerous, and the artificially-amplified hallucinations began to end in blood and death, Leoh found himself winning more and more frequently. With one part of his mind he was driving to analyze the cause of his consistent success. But another part of him was beginning to really enjoy his prowess.

The strain was telling on Hector. The physical exertion of constant work and practically no relief was considerable in itself. But the emotional effects of being "hurt" and "killed" repeatedly were infinitely worse.

"Perhaps we should stop for a while," Leoh suggested after the fourth day of tests.

"No, I'm all right."

Leoh looked at him. Hector's face was haggard, his eyes bleary.

"You've had enough," Leoh said quietly.

"Please don't make me stop," Hector begged. "I ... I can't stop now. Please give me a chance to do better. I'm improving ... I lasted twice as long in this afternoon's two duels as I did in the ones this morning. Please, don't end it now ... not while I'm completely lostโ€”"

Leoh stared at him, "You want to go on?"

"Yes, sir."

"And if I say no?"

Hector hesitated. Leoh sensed he was struggling with himself. "If you say no," he answered dully, "then it will be no. I can't argue against you any more."

Leoh was silent for a long moment. Finally he opened a desk drawer and took a small bottle from it. "Here, take a sleep capsule. When you wake up we'll try again."

It was dawn when they began again. Leoh entered the dueling machine determined to allow Hector to win. He gave the youthful Star Watchman his choice of weapon and environment. Hector picked one-man scoutships, in planetary orbits. Their weapons were conventional force beams.

But despite his own conscious desire, Leoh found himself winning! The ships spiraled about an unnamed planet, their paths intersecting at least once in every orbit. The problem was to estimate your opponent's orbital position, and then program your own ship so that you arrived at that position either behind or to one side of him. Then you could train your guns on him before he could turn on you.

The problem should have been an easy one for Hector, with his knack for intuitive mental calculation. But Leoh scored the first hitโ€”Hector had piloted his ship into an excellent firing position, but his shot went wide; Leoh maneuvered around clumsily, but managed to register an inconsequential hit on the side of Hector's ship.

In the next three passes, Leoh scored two more hits. Hector's ship was badly damaged now. In return, the Star Watchman had landed one glancing

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