Hello.

I have recently encountered a problem where I need to binary search on a segment tree starting at any position( there are no updates, but there isn't enough memory for a sparse table). The problem is that the time limit does not allow a O(logn ^2) binary search , so I'm wondering if there is a different approach. The segment tree is for maximums, so transforming the binary search by including the prefix then removing it is ( I think) not possible.

Thanks for your help !