I am trying to solve manhattan centre from cs academy. I am thinking to apply binary search on answer for x between 1 and 100000000. According to me the graph of the function will be a parabola.So what I am doing is I am calculating three values one at mid,mid+1 and mid-1 and checking if I am on the left side of the parabola low=mid+1 else if I am on the right side of the parabola high=mid-1. Else if I find the min point then it is the answer.But the solution is not working in the way that I wanted it to be can anyone tell me where I am going wrong.Also I saw some of the submissions where people applied ternary search and got the correct answer. As far as I know all the problems solved with ternary search can also be solved with binary search also.Here is the link to my solution. SOLUTION. Sorry for my poor english.