Dsa Dp Climb Stairs

In this tutorial, you'll learn about How to Fix Climbing Stairs Errors. We cover key concepts, practical examples, and best practices.

Fix climbing stairs errors when base cases wrong (n=0 or n=1) or recurrence relation incorrect.

Quick Fix

Wrong

def climb(n):
    if n<=2: return n
    return climb(n-1)+climb(n-2)

Exponential time without memo. Same as Fibonacci issue.

Right

def climb(n):
    if n<=2: return n
    a,b=1,2
    for i in range(3,n+1): a,b=b,a+b
    return b

climb(3)=3, climb(5)=8. O(n) time, O(1) space.

Prevention

Base case: 1 way for 1 step, 2 ways for 2 steps. Each step = ways(n-1)+ways(n-2).

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