"Let us recast this in information theory terms," says the don. "Information flows from Germany to us, through the Ultra system at Bletchley Park. That information comes to us as seemingly random Morse code transmissions on the wireless. But because we have very bright people who can discover order in what is seemingly random, we can extract information that is crucial to our endeavors. Now, the Germans have not broken our important cyphers. But they can observe our actions--the routing of our convoys in the North Atlantic, the deployment of our air forces. If the convoys always avoid the U-boats, if the air forces always go straight to the German convoys, then it is clear to the Germans--I'm speaking of a very bright sort of German here, a German of the professor type--that there is not randomness here. This German can find correlations. He can see that we know more than we should. In other words, there is a certain point at which information begins to flow from us back to the Germans."
"We need to know where that point is," says the Main Guy. "Exactly where it is. We need then to stay on the right side of it. To develop the appearance of randomness."
"Yes," Waterhouse says, "and it has to be a kind of randomness that would convince someone like Rudolf von Hacklheber."
"Exactly the fellow we had in mind," the don says. "Dr. von Hacklheber, as of last year."
"Oh!" Waterhouse says. "Rudy got his Ph.D.?" Since Rudy got called back into the embrace of the Thousand-Year Reich, Waterhouse has assumed the worst: imagining him out there in a greatcoat, sleeping in drifts and besieging Leningrad or something. But apparently the Nazis, with their sharp eye for talent (as long as it isn't Jewish talent) have given him a desk job.
Still, it's touch and go for a while after Waterhouse shows pleasure that Rudy's okay. One of the Other Guys, trying to break the ice, jokes that if someone had had the foresight to lock Rudy up in New Jersey for the duration, there would be no need for the new category of secret known as Ultra Mega. No one seems to think it's funny, so Waterhouse assumes it's true.
They show him the organizational chart for RAE Special Detachment No. 2701, which contains the names of all of the twenty-four people in the world who are on to Ultra Mega. The top is cluttered with names such as Winston Churchill and Franklin Delano Roosevelt. Then come some other names that seem oddly familiar to Waterhouse--perhaps the names of these very gents here in this room. Below them, one Chattan, a youngish RAF colonel who (Waterhouse is assured) accomplished some very fine things during the Battle of Britain.
In the next rank of the chart is the name Lawrence Pritchard Waterhouse. There are two other names: one is an RAF captain and the other is a captain in the United States Marine Corps. There is also a dotted line veering off to one side, leading to the name Dr. Alan Mathison Turing. Taken as a whole, this chart may be the most irregular and bizarre ad-hocracy ever grafted onto a military organization.
In the bottom row of the chart are two groups of half a dozen names, clustered beneath the names of the RAF captain and the Marine captain respectively. These are the squads that represent the executive wing of the organization: as one of the guys at the Broadway Building puts it, "the men at the coal-face," and as the one American Guy translates it for him, "this is where the rubber meets the road."
"Do you have any questions?" the Main Guy asks.
"Did Alan choose the number?"
"You mean Dr. Turing?"
"Yes. Did he choose the number 2701?"
This level of detail is clearly several ranks beneath the station of the men in the Broadway Buildings. They look startled and almost offended, as if Waterhouse has suddenly asked them to take dictation.
"Possibly," says the Main Guy. "Why do you ask?"
"Because," Waterhouse says, "the number 2701 is the product of two primes, and those numbers, 37 and 73, when expressed in decimal notation, are, as you can plainly see, the reverse of each other."
All heads swivel toward the don, who looks put out. "We'd best change that," he says, "it is the sort of thing that Dr. von Hacklheber would notice." He stands up, withdraws a Mont Blanc fountain pen from his pocket, and amends the organizational chart so that it reads 2702 instead of 2701. As he is doing this, Waterhouse looks at the other men in the room and thinks that they look satisfied. Clearly, this is just the sort of parlor trick they have hired Waterhouse to perform.
Chapter 13 CORREGIDOR