A mathematician quits his job at a major university to pursue work as a firefighter. At his local fire station, the firefighters are impressed with the mathematician's resume and ask him a few questions.
"What do you do if you pass a Dumpster, and it's on fire?"
The mathematician responds. "Easy, I'd just put out the fire."
The firefighters were pleased. "Okay, what do you do if you pass a Dumpster, and it's not on fire?"
The mathematician thinks for a little bit. "Easy! I'd set it on fire!"
The firefighters are aghast at his stupidity. They ask him if he's an idiot, to which he replies, "No! I've just reduced the problem to one I've already solved!"
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