Faced a problem during ICPC camp which our team was not able to solve and suddenly today that question came to my mind again and still I dont have any major progress in the question. The question involves mathematics definitely and binary search and I think we need to make some assumptions. It would be really grateful if anyone could provide me any help regarding the problem. I am pasting the problem link here:↵
[Your text to link here...https://codeforces.me/group/wlb0UYQSQF/contest/560535/problem/H](https://codeforces.me/group/wlb0UYQSQF/contest/560535/problem/H)↵
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also pasting the problem statement below:↵
↵
While conducting an investigation, Sherlock Holmes found a clue which included N↵
points (xi,yi)↵
. He believes that these points are sampled from a curve f=ax2+bx+c↵
with some real numbers a↵
, b↵
and c↵
. However it seems like some points contain errors, so he asked you to find the best estimate of a↵
, b↵
and c↵
which reduces the error.↵
↵
The error is defined Error(f)=max1≤i≤N(yi−(ax2i+bxi+c))2↵
↵
Write a program that, given the N↵
data points, finds out an optimal estimation of function f↵
that minimizes the error and prints out the error value.
[
↵
also pasting the problem statement below:↵
↵
While conducting an investigation, Sherlock Holmes found a clue which included N↵
points (xi,yi)↵
. He believes that these points are sampled from a curve f=ax2+bx+c↵
with some real numbers a↵
, b↵
and c↵
. However it seems like some points contain errors, so he asked you to find the best estimate of a↵
, b↵
and c↵
which reduces the error.↵
↵
The error is defined Error(f)=max1≤i≤N(yi−(ax2i+bxi+c))2↵
↵
Write a program that, given the N↵
data points, finds out an optimal estimation of function f↵
that minimizes the error and prints out the error value.