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Took me a second to realize why 289. 17 * 17. One dollar per square. If you could get him to offer a prize for a 1000 * 1000 grid, you have quite a nice rewa
by rauljara 17y ago
Took me a second to realize why 289. 17 * 17. One dollar per square. If you could get him to offer a prize for a 1000 * 1000 grid, you have quite a nice reward.
- RiderOfGiraffes 17y agoYou're not being serious, I know, but I'll answer seriously anyway. 1000x1000 is not an edge case - it can't be done - so offering a reward for a solution is pretty pointless.
- brent 17y agoA related and unsolved question (and thus legitimate) could be: what is the smallest c such that 1000x1000 is c-colorable.
- RiderOfGiraffes 17y agoThe problem with that is knowing that you have the minimum. The good thing about the question as asked is that it's asking for something specific and not a proof of impossibility. Your question is legitimate and interesting, but requires a proof of minimality. That's difficult.
- deleted 17y ago[deleted]
- brent 17y ago> That's difficult Agreed, but that is why it would be worth $1M :-).
- klipt 17y agoA different question would be "who can come up with the smallest c in 6 months", which probably wouldn't yield the true answer, but for a $1M prize it might come quite close (and could lead to some interesting theoretical advancements).
- cjg 17y agoAccording to http://www.cs.umd.edu/~gasarch/BLOGPAPERS/17x17chart.pdf http://www.cs.umd.edu/~gasarch/BLOGPAPERS/17x17chart.pdf c would be either 17 or 18.
- cjg 17y agoSorry, misread the parent post.