this post was submitted on 23 Jun 2024
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[–] [email protected] 9 points 4 months ago* (last edited 4 months ago)

Me: Hey, can you help me with the following? I just went into my basement and the powers out down here, all the lights are off. I am staring at my fuse box. There are 3 switches, 1 will restore the power to the whole house, and the other 2 aren't attached to anything. I don't want to go up and down the stairs multiple times, how do I identify which switch works with the fewest number of trips?

Clauderino:

This is a classic logic puzzle! I can help you solve this problem efficiently. Here's how you can identify the correct switch with just two trips:

First trip:

Flip one switch (let's call it Switch A) and leave it on for a few minutes. Then turn it off and flip a second switch (Switch B), leaving it on. Go upstairs to check the lights.

Second trip: Return to the basement and observe the situation. Now, here's how to interpret what you see:

If the lights are on: Switch B is the correct one. If the lights are off and the bulbs are warm: Switch A is the correct one. If the lights are off and the bulbs are cool: The third switch (C) that you didn't touch is the correct one.

This method works because:

If the lights are on, it must be the switch you left on (B). If Switch A was correct, the lights would have been on for a few minutes, warming up the bulbs, but would be off when you check. If neither A nor B worked, it must be the untouched switch (C).

This way, you can determine the correct switch with just two trips up and down the stairs.

Me: Why would I go upstairs at all? If I flip the right switch, I'll immediately know because power will be restored in the basement.

Clauderino: Thank you for catching that error. It's a good reminder to always consider the specific details of a problem rather than applying a generic solution.

Edit: I actually tried a variant on the Monty hall problem with a dummy 4th door that had nothing to do with anything, and Claude correctly identified that it had nothing to do with the situation :O. But then I repeated the same prompt and it got it wrong, so you know, stochastic nonsense :p