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Algorithmic Problem Solving: Preparing for a Coding Interview

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Course Overview

Algorithms and Complexity

Introduction to Algorithms and Complexity Correct vs. Incorrect Algorithms Time Complexity of Algorithms

Runtime Algorithms

The Big-O Notation Advantages and Disadvantages of the Big-O Notation Five Common Rules for Analyzing the Runtime Visualize Common Rules for Runtime Analysis Frequently Arising Running Times Quiz: Running Time of Algorithms

Algorithm Design Techniques

Introduction to Algorithm Design Techniques Algorithm Design: Exhaustive Search Algorithms Algorithm Design: Branch-and-Bound Algorithms Algorithm Design: Greedy Algorithms Algorithm Design: Dynamic Programming Algorithms Algorithm Design: Recursive Algorithms Algorithm Design: Divide-and-Conquer Algorithms Algorithm Design: Randomized Algorithms Quiz: Algorithm Design Techniques

Programming Challenges

Introduction to Programming Challenges Challenge: Sum of Two Digits Solution: Sum of Two Digits Challenge: Maximum Pairwise Product Naive Solution: Maximum Pairwise Product Fast Solution: Maximum Pairwise Product Evaluating Solutions to Maximum Pairwise Product Problem Solving a Programming Challenge in Four Easy Steps Quiz: Programming Challenges

Good Programming Practices

Introduction to Good Programming Practices Code Formatting and Naming Guidelines Debugging and Code Optimization C++-Specific C++ Rules For Classes And Numbers Python-Specific Quiz: Good Programming Practices

Algorithmic Warm Up

Introduction to Algorithmic Warm Up

Challenge: Fibonacci Number

Solution: Fibonacci Number

Challenge: Last Digit of the Fibonacci Number

Solution: Last Digit of Fibonacci Number

Challenge: Huge Fibonacci Number

Solution: Huge Fibonacci Number

Challenge: Last Digit of the Sum of Fibonacci Numbers

Solution: Last Digit of the Sum of Fibonacci Numbers

Challenge: Last Digit of the Partial Sum of Fibonacci Numbers

Solution: Last Digit of the Partial Sum of Fibonacci Numbers

Challenge: Last Digit of the Sum of Fibonacci Numbers’ Squares

Solution: Last Digit of the Sum of Fibonacci Numbers’ Squares

Challenge: Greatest Common Divisor

Solution: Greatest Common Divisor

Challenge: Least Common Multiple

Solution: Least Common Multiple

Quiz: Algorithmic Warm Up

Greedy Algorithms

Introduction to Greedy Algorithms Greedy Strategies Prove the Correctness of Greedy Algorithms Challenge: Money Change Solution: Money Change Challenge: Maximum Value of the Loot Solution: Maximum Value of the Loot Challenge: Car Fueling Solution: Car Fueling Challenge: Maximum Advertisement Revenue Solution: Maximum Advertisement Revenue Challenge: Collecting Signatures Solution: Collecting Signatures Challenge: Maximum Number of Prizes Solution: Maximum Number of Prizes Challenge: Maximum Salary Solution: Maximum Salary Quiz: Greedy Algorithms

Divide and Conquer Algorithm

Introduction to Divide-and-Conquer Algorithms Guessing a Number Searching Sorted Data Finding a White-Black Pair Finding a Peak Multiplying Integers The Master Theorem Challenge: Sorted Array Multiple Search Solution: Sorted Array Multiple Search Challenge: Multiple Search with Duplicates Solution: Multiple Search with Duplicates Challenge: Majority Element Solution: Majority Element Challenge: Improving Quicksort Solution: Improving Quicksort Challenge: Number of Inversions Solution: Number of Inversions Challenge: Organizing a Lottery Solution: Organizing a Lottery Challenge: Closest Points Solution: Closest Points Quiz: Divide-and-Conquer Algorithms

Dynamic Programming

Introduction to Dynamic Programming Challenge: Money Change Again Solution: Money Change Again Challenge: Primitive Calculator Solution: Primitive Calculator Challenge: Edit Distance Solution: Edit Distance Challenge: Longest Common Subsequence of Two Sequences Solution: Longest Common Subsequence of Two Sequences Challenge: Longest Common Subsequence of Three Sequences Solution: Longest Common Subsequence of Three Sequences Challenge: Maximum Amount of Gold Solution: Maximum Amount of Gold Challenge: Splitting the Pirate Loot Solution: Splitting the Pirate Loot Challenge: Maximum Value of an Arithmetic Expression Solution: Maximum Value of an Arithmetic Expression Quiz: Dynamic Programming

Conclusion

Solution: Huge Fibonacci Number

Solution for the Huge Fibonacci Number Problem.

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Solution
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Solution

In this problem, $n$ might be so huge that an algorithm looping for $n$ iterations will be too slow. Therefore, we need to avoid such a loop. To get an idea of how to solve this problem without going through all Fibonacci numbers $F_i$ for $i$ from $0$ to $n$ , take a look at the table below:

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