Hi, I'am unable to solve the following problem (https://erdos.sdslabs.co/problems/64). Any hints or ideas are welcomed.
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Do you know how polynomial interpolation works? If there's a polynomial $$$P$$$ with degree $$$k$$$ and you have value of $$$f(x)$$$ for $$$k + 1$$$ different $$$x$$$, then the polynomial is uniquely determined. If you only need one example of such $$$m$$$, then maybe it's enough to just try different values of $$$m$$$. If you need all such $$$m$$$ it might be trickier, though.
Yes, I do know Polynomial Interpolation and i was trying the same , i made a lot of tries but couldn't get it correct and i thought i wasn't going in the right direction . Thanks for replying , I will try again to figure out tricky part again.
Well what was the problem? Did no value of $$$m$$$ work? Or do you think you had a bug somewhere?
I'd suggest next time you make such a blog, you should say that you already tried polynomial interpolation with different values of $$$m$$$, but it didn't work because [reason]. It makes it so much easier to help you. Besides if you had said that we wouldn't have this conversation.