This is a thread 🧵 that talks about one of the major unresolved problems in computer science:

▫️P versus NP ▫️

One of the Millennium Prize Problems, with a $1,000,000 💵 prize for whoever cracks it!

That’s a lot of money. And for a good reason!

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For a lot of problems, we can quickly verify whether a given solution is optimal.

But we haven't been able to prove that there is (or isn't) a quick way to come up with that optimal solution. 😞

We just don't know whether we can or can't find those solutions quickly.

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▫️If P = NP ➡️ all problems that can quickly be verified can also be solved quickly.

▫️If P != NP ➡️ there are problems that are much harder to solve than verify.

🙋I believe that P != NP. Most people do, but we haven’t found a way to prove it!

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If we could prove P versus NP (either way) the consequences will be massive! 🎉

If P = NP, we could cure cancer! We could also break into most modern cryptographic systems, among other things.

If P != NP, we could stop focusing so much time on this problem. 🤷‍♂️

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Either way, there's a massive $1M 💵 for whoever cracks it!

What do you think? Is P = NP?

(Here is the previous thread about some NP-Hard problems that we found in our lives: https://twitter.com/svpino/status/1285563816886128642?s=20)

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