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This is what you need to do:
Run down the corridor, through where the door used to be. You'll eventually run into an almost-completely disassembled electromagnetic generator barely able to stand in the middle of the room. You can explore the semi-circular corridor around it (you'll find a Food Box and some Beer if you do), but the circa-1980s computer terminal is what you'll ultimately want to investigate.
When you do, you'll be presented with three new puzzles from the Dharma Initiative. The first one asks you to complete the number sequence given: 26, 17, 20, 11, 14, and 5. The answer is 8. (The first, third, fifth, and seventh numbers are six apart from one another, while the second, fourth, sixth, and presumably eighth number are also six apart: 14 minus 8 is 6). The second question asks you to finish the letter sequence: Z, X, V, and T. The answer is obvious -- R (the letters are all two from one another). The final question will ask you how the words God and Dog equate to the number 394 and an unknown number. The answer is 493 -- 394 in reverse (just like God is Dog reversed).
When those questions are answered properly, you'll be given a secret menu. Press A to send a ping before you do anything, and then check the station's status by pressing B. Finally, to end shut down (or neutralize) the reactor, which will end the episode, press C.
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