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PHP Program to Fibonacci with Memo with Explanation

PHP Medium PHP Functions 39 views
This problem helps you practice core PHP fundamentals in a practical way. It builds intuition around fib, one, fibonacci. Let’s break it down step by step so you can implement it confidently.
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Problem Statement

Compute fib(n) with memoization (fib(0)=0, fib(1)=1).

Input Format

One integer n.

Output Format

One integer.

Constraints

0

Code Solution

This explanation is written for learning purposes and to help beginners understand the concept clearly.
<?php $inputText=trim(stream_get_contents(STDIN)); if($inputText==='') exit; $n=intval($inputText); $memo=[0=>0,1=>1]; function fib($n,&$memo){ if(isset($memo[$n])) return $memo[$n]; $memo[$n]=fib($n-1,$memo)+fib($n-2,$memo); return $memo[$n]; } echo fib($n,$memo); ?>

Output Example

Input:
10
Output:
55

Common Mistakes

- Misreading input/output format.
- Not handling constraints and edge cases.
- Off-by-one errors in loops.
- Forgetting to reset variables between test cases (if any).

Notes & Extra Practice

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