Two MIT math graduates bump into each other at Fairway on the upper west side. They hadn't seen each other in over 20 years. The first grad says to the second: "how have you been?" Second: "Great! I got married and I have three daughters now" First: "Really? how old are they?" Second: "Well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there.." First: "Right, ok.. oh wait.. hmmmm.., I still don't know" second: "Oh sorry, the oldest one just started to play the piano" First: "Wonderful! my oldest is the same age!" Problem: How old are the daughters?
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In one room in your game, there's an elevator that AIs will need to use to escape from the player. In order to use the elevator, they have to walk over to a special button on the wall, press it to summon the elevator, then walk into the elevator and press another button to tell it to ascend. How would you design a system to make sure AIs can do all of these things in the proper order? If you have 3 AIs in the room, how would you design the system to make sure they can all escape in the elevator at the same time? What happens if one of them dies while they're trying to do this, and how do you make sure the other AIs don't get stuck waiting for that dead AI?
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