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Balder had encountered Salander during a lecture at the Royal Institute of Technology in the course of a talk he was giving on technical singularity, the hypothetical state when computers become more intelligent than the human being. He had just begun by explaining the concept of singularity in terms of mathematics and physics when the door opened and a skinny girl in black strode into the lecture hall. His first thought was that it was a shame there was no other place for junkies to go. Then he wondered if the girl really was an addict. She did not seem strung out, but on the other hand she did look tired and surly, and did not appear to be paying any attention to his lecture. She just sat there slouched over a desk. Eventually, in the middle of a discussion of the moment of singularity in complex mathematical calculation, the point where the solution hits infinity, he asked her straight out what she thought of it all. That was mean. Why should he pick on her? But what had happened?

The girl looked up and said that, instead of bandying fuzzy concepts about, he should become sceptical when the basis for his calculations fell apart. It was not some sort of real-world physical collapse, more a sign that his own mathematics were not up to scratch, and therefore it was sheer populism on his part to mystify singularities in black holes when it was so obvious that the main problem was the absence of a quantum mechanical method for calculating gravity.

With icy clarity — which set off a buzz in the hall — she then presented a sweeping critique of the singularity theorists he had quoted, and he was incapable of coming up with any answer other than a dismayed: “Who the hell are you?”

That was their first contact. The girl was to surprise him a few times more after that. With lightning speed or just one bright glance she immediately grasped what he was working on and, when he realized that his technology had been stolen, he had asked for her help. That had created a bond between them — they shared a secret.

Now he was standing there in the bedroom thinking of her. But his thoughts were interrupted. He was overcome by a new chilling sense of unease and he looked through the doorway towards the large window overlooking the water.

In front of it stood a tall figure in dark clothes and a tight black cap with a small lamp on his forehead. He was doing something to the window. He pulled across it with a swift and powerful movement, like an artist starting work on a fresh canvas, and before Balder had time to cry out, the entire window fell in and the figure moved towards him.

Jan Holtser usually told people that he worked on industrial security issues. In actual fact he was a former Russian special forces soldier who spent his time breaking into security systems. He had a small skilled staff and, for operations like this one, the preparations were as a rule so painstaking that the risks were not as great as one might imagine.

It’s true that he was no longer a young man, but for fifty-one he kept himself in good shape with hard training and was known for his efficiency and ability to improvise. If fresh circumstances cropped up, he thought about them and took them into consideration in his planning.

His experience tended to make up for his lack of youthful vigour, and occasionally, in the limited circle within which he could talk openly, he would speak of a sort of sixth sense, an acquired instinct. He had learned over the years when to wait and when to strike, and although he had been through a bad patch a couple of years earlier and betrayed signs of weakness — humanity, his daughter would say — he now felt that he was more accomplished than ever before.

He was once more able to take pleasure in his work, that old sense of excitement. Yes, he did still dose himself with ten milligrams of Stesolid before an operation, but that was only because it enhanced his accuracy with weapons. He remained crystal clear and alert at critical moments, and most important: he always carried out the tasks he was assigned. Holtser was not someone who let people down or bailed out. That was how he thought of himself.

And yet tonight, even though his client had stressed that the job was urgent, he had considered calling it off. The bad weather was a factor. But the storm in itself would never have been enough to get him to consider cancelling. He was Russian and a soldier, and had fought in far worse conditions than these, and he hated people who moaned about trivial things.

What bothered him was the police guard, which had appeared out of nowhere. He did not think much of the policemen on the property. From his hiding place he had seen them snooping around with the vague reluctance of small boys told to go outside in bad weather. They would rather have stayed sitting in their car talking rubbish, and they were easily frightened, especially the taller of the two, who seemed to dislike the dark and the storm and the black water. As he stood there staring in among the trees a little while ago, he had looked to be terrified, presumably because he had sensed Holtser’s presence, but that was not something that worried Holtser. He could have slit the man’s throat swiftly and soundlessly.

Still, the fact of policemen was not good news.

Their presence considerably raised the level of risk; above all it was an indication that some part of the plan had leaked out, that there was a heightened readiness. Maybe the professor had started to talk, in which case the operation would be meaningless, it might even make their situation worse. Holtser was determined not to expose his client to any unnecessary risks. He regarded that as one of his strengths. He always saw the bigger picture and, despite his profession, he was often the one who counselled caution.

He had lost count of the number of criminal gangs in his home country which had gone under because they had resorted too often to violence. Violence can command respect. Violence can silence and intimidate, and ward off risks and threats. But violence can also cause chaos and a whole chain of unwanted consequences.

All those thoughts had gone through his mind as he sat hidden behind the trees and the line of bins. For a few seconds he was resolved to abort the operation and go back to his hotel room. Yet that did not happen.

A car arrived, occupying the policemen’s attention, and he spotted an opportunity, an opening. Without stopping to evaluate his motivations he fitted the elastic of the lamp over his head. He got out the diamond saw from his left-hand jacket pocket and drew his weapon, a 1911 R1 Carry with a custom-made silencer, and weighed them, one in each hand. Then, as ever, he said:

“Thy will be done, amen.”

Yet he could not shake off the uncertainty. Was this right? He would have to act with lightning speed. True, he knew the house inside out and Jurij had been here twice and hacked the alarm system. Plus the policemen were hopeless amateurs. Even if he were delayed in there — say the professor did not have his computer next to his bed, as everyone had said, and they had time to come to his aid — Holtser would be able to dispose of them too without any problem. He even looked forward to it. He therefore muttered a second time:

“Thy will be done, amen.”

Then he disengaged the safety on his weapon and moved rapidly to the large window overlooking the water. It may have been due to the uncertainty of the situation, but he felt an unusually strong reaction when he saw Balder standing there in the bedroom, engrossed in something, and he tried to persuade himself that everything was fine. The target was clearly visible. Yet he still felt apprehensive: Should he call the job off?

He did not. Instead he tensed the muscles in his right arm and with all his strength drew the diamond cutter across the window and pushed. The window collapsed with a disturbing crash and he rushed in and raised his weapon at Balder, who was staring hard at him, waving his hand as though in a desperate greeting. The professor began to say something confused and ceremonious which sounded like a prayer, a litany. But instead of “God” or “Jesus” Holtser heard the word “disabled”. That was all he managed to catch, and in any case it did not matter. People had said all sorts of things to him.