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You are in a room with two doors, guarded by two guards. One door leads to freedom, while the other leads to certain death. One guard always tells the truth, and the other always lies. You do not know which guard is which, and you do not know which door leads to freedom. What one question can you ask to determine which door to choose?
You need to cross a rope bridge with only a flashlight to guide your way. The bridge can only hold two people at a time and must be crossed in complete darkness. You have three friends with you, and each of you walks at a different speed - one can cross the bridge in 1 minute, another in 2 minutes, another in 5 minutes, and the slowest in 10 minutes. When two people cross the bridge together, they must walk at the slower person's pace. What is the shortest time it would take for all of you to cross the bridge?
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