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Dsa Dp Fibonacci

DodaTech 1 min read

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

Fix fibonacci dp errors when recursive without memo causes exponential time or memo wrong scope.

Quick Fix

Wrong

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

O(2^n) exponential. fib(50) takes years to compute.

def fib(n):
    if n<=1: return n
    dp=[0]*(n+1); dp[1]=1
    for i in range(2,n+1): dp[i]=dp[i-1]+dp[i-2]
    return dp[n]
fib(10)=55, fib(50)=12586269025. O(n) time, O(n) space.

Prevention

Use bottom-up DP with array or two variables. Recursion with memoization also works.

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FAQ

What is Fibonacci DP?

Fibonacci with DP avoids redundant computation. O(n) vs O(2^n).

Space optimization?

Only need last two values: O(1) space.

Recursive memo?

@lru_cache or explicit dict for top-down memoization.

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