Describe an advanced data structure : Find the Factorial with a Given Number of Zeros

The video tutorial explains how to find the smallest number N such that the number of trailing zeros in N factorial equals a given number. It covers the concept of trailing zeros, the importance of counting factors of 2 and 5, and provides a formula to calculate trailing zeros. The tutorial also discusses linear and binary search methods to find the solution efficiently, followed by a code implementation and testing of these methods.

Why is it important to note that not every input has a solution for the number of trailing zeros?

What is the role of binary search in finding the smallest factorial with a given number of zeros?

Describe the linear search solution for finding the smallest N with a given number of zeros.