The problem in Good Will Hunting - Numberphile

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Just how hard was the second problem cracked by Will in Good Will Hunting? Matt Damon!And who doesn't love Homeomorphically Irreducible Trees?This video features Dr James Grime -
TheFreaksays...

lol I wasn't paying attention in a discrete math class one day and at the end there was a problem on the board for extra credit. Given a position in a series, find the number. I thought about it for about a week until I made the connection to Pascal's triangle. Wrote an equation 30 minutes before class, because it had been due the class before and as long as I got it in before the next class started it wasn't late. Just for good measure I inverted it and solved for the positon in the series given a number. Then I wrote a dumb, long rambling description of my thought process in deducing the answer. Rushed it to the professor's office and handed it to him just as he was getting ready to leave for class. I sat watching him silently reading it over until I felt compelled to apologize for the incoherent preface. He didn't answer and I excused myself and went to class feeling kind of dumb.

The professor showed up about 20 minutes late for class and explained how the assignment had been to create a simple formula to "aproximate" the position, something like, the number will be no higher than (x-1/y)(y/x-1) or some other nonsense. He hadn't ever seen an actual precise solution until that day.

Score 1 for not paying attention in class.

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