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.
Right
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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