Three scientists in a space station are trying to move from the Airlock to the Control Room pod. The hatches between pods are controlled by a button in the center of each pod. While a control button is depressed, all hatches with that letter are open; but as soon as the button is released, those hatches close. A person cannot simultaneously depress a button and move through a hatch.
Can our three space scientists make it from the Airlock to the Control Room?
Here are the blueprints of an example moon base:
The three scientists start in the room marked with the airlock hatch on the side (Room 1). One can depress the "A" button in that room, opening up the "A" hatches. This allows the second scientist to move to Room 2 and depress the "B" button.
From here, the third scientist can move into Room 4, the control room, and depress the "C" button.
However, we're not done yet. All three scientists must make it to the control room. Plus, now there is a choice to be made. If the second scientist leaves Room 2 to go to the control room, it will strand the first scientist. They can make it out of Room 1 and into the hallway (by going through Room 3), but they cannot move through "A" or "B" hatches to make it into the control room.
So instead, the first scientist needs to go to the control room first.
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Last updated: March 25, 2005
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