This problem proves that the sum of the squares of the first n natural numbers is equal to n(n+1)(2n+1)/6. For example, when n = 4 , the sum of the squares of the first 4 natural numbers is 4(4+1)(2*4+1)/6.
About this solution: The candidate's solution is correct and demonstrates a complete understanding of the problem. The approach is clear and concise, and the solution is elegant. Well done!
Given a set of n distinct points in the plane, the maximum number of points that lie on the same straight line is returned.
About this solution: The candidate's solution is correct and demonstrates a level of completeness. The candidate has correctly identified that the best way to solve this problem is to use a brute force approach.
Given a set of points in the plane, this problem determines whether or not there exists a line that goes through all of the points. The input is a set of points in the plane, and the output is either "Yes" or "No" indicating whether or not such a line exists.
About this solution: The candidate's solution is incomplete and does not solve the problem. The candidate's approach is not general enough.