Easydynamic-programming

Climbing Stairs

TIME: O(n)
SPACE: O(1)

Problem Statement

You are climbing a staircase. It takes n steps to reach the top. Each time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top?

Real Engineering Applications

In production systems, this concept directly maps to caching index layers, route lookups optimizations, compiler scope parsing validations, and multi-thread dependency schedulers.

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