Challenge: The Staircase Problem
Explore how to determine the number of ways to climb a staircase with varying jump lengths using top-down dynamic programming. Learn to write a naive recursive method and then apply memoization to optimize runtime efficiency for large inputs.
We'll cover the following...
We'll cover the following...
Problem statement
Nick is standing next to a staircase that leads to his apartment. The staircase has n total steps; Nick knows he can climb anywhere between 1 and m steps in one jump. He thinks about how many ways there are to climb this staircase. He realizes it is a big number since there are a lot of possible ...