Four people stand in a line facing forward, a wall between the third and fourth. Two black hats, two white. The one behind the wall sees nobody; the front person sees nobody; the others see everyone ahead of them. Who speaks first, and why?
A server room has one bulb inside and three switches outside. Exactly one switch controls the bulb. The door is closed, and you may open it only once. How do you identify the right switch?
MediumYou have two lengths of fuse. Each burns for exactly one hour end to end, but neither burns evenly — half a fuse does not mean half an hour. With only a lighter, measure exactly forty-five minutes.
HardEight identical servers sit in a rack. One has a faulty fan and runs measurably hotter; the rest are identical. You have a balance scale that compares the total heat of any two groups. Find the faulty one in two weighings.
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