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Algorithmic Paradigms

Brute Force Greedy Algorithms Divide and Conquer Dynamic Programming

Searching and Sorting

Selection Sort, Bubble Sort, and Insertion Sort Merge Sort Quicksort Time Complexities of Sorting Algorithms (Overview)Searching Algorithms Challenge: Find Two Numbers that Add up to "n"Solution: Find Two Numbers that Add up to "n"Challenge: Search in a Rotated Array Solution: Search in a Rotated Array Challenge: Find the Median of Two Sorted Arrays Solution: Find the Median of Two Sorted Arrays Challenge: Find Duplicates in Array Solution: Find Duplicates in Array Challenge: Search in Sorted Matrix Solution: Search in Sorted Matrix Challenge: Count Element Occurrence Solution: Count Element Occurrence Challenge: Search Insert Position Solution: Search Insert Position Challenge: Sparse Search Solution: Sparse Search Challenge: Dutch National Flag Problem Solution: Dutch National Flag Problem Quiz on Sorting & Searching

Graph Algorithms

Introduction to Graph Algorithms and Implementation Challenge 1: Implement Breadth First Search Solution Review: Implement Breadth First Search Challenge 2: Implement Depth-First Search Solution Review: Implement Depth-First Search Challenge 3: Calculate the Number of Nodes in a Given Graph Level Solution: Number of Nodes in a Given Graph Level Challenge 4: Print the Transpose of a Graph Solution Review: Print the Transpose of a Graph Challenge 5: Count the Paths Between Two Nodes Solution Review: Count the Paths Between Two Nodes Challenge 6: Check if a Graph is Strongly Connected Solution Review: Check if a Graph is Strongly Connected Challenge 7: Print all the Connected Components in a Graph Solution Review: Print all the Connected Components of a Graph Challenge 8: Removing a Given Edge Solution Review: Removing an Edge Challenge 9: Check If Given Graph is Bipartite Solution Review: Check if a Given Graph is Bipartite Quiz on Graph Algorithms

Greedy Algorithms

What is a Greedy Approach?Problem 1: Make a Change Machine!Solution 1: Make Your own Change Machine!Problem 2: Connecting 'n' Pipes with Minimum Cost Solution 2: Connecting 'n' Pipes with Minimum Cost Problem 3: Find the Egyptian Fraction Solution 3: Find the Egyptian Fraction Problem 4: Minimum Number of Platforms Required for Train Station Solution 4: Minimum Number of Platforms Required for TrainStation Problem 7: Find the Largest Number Solution 7: Find the Largest Number Quick Quiz!

Dynamic Programming

Fibonacci Series Using Recursion Introducing Dynamic Programming With Fibonacci Numbers Memoizing Fibonacci Numbers Tabulating Fibonacci Numbers Challenge: The 0/1 Knapsack Problem Solution: The 0/1 Knapsack Problem Challenge 4: Longest Common Substring Solution Review: Longest Common Substring Challenge: Shortest Common Supersequence Solution Review: Shortest Common Supersequence Challenge 6: Longest Palindromic Subsequence Solution Review: Longest Palindromic Subsequence Challenge 7: The Coin Change Problem Solution Review: Coin Change Problem Challenge 8: Egg Dropping Problem Solution Review: Egg Dropping Problem Challenge 9: Strings Interleaving Solution Review: Strings Interleaving Challenge: Edit Distance Problem Solution Review: The Edit Distance Problem Quiz on Dynamic Programming

Divide and Conquer

Introduction to Divide and Conquer with Binary Search

Pascal's Triangle

Challenge 1: Euclidean Algorithm

Solution Review 1: Euclidean Algorithm

Challenge 2: Peak Element

Solution Review 2: Peak Element

Challenge 4: Missing Number in Sorted Array

Solution Review 4: Missing Number in Sorted Array

Challenge 5: Find the Closest Number

Solution Review 5: Find the Closest Number

Challenge 6: Shuffle Integers

Solution Review 6: Shuffle Integers

Challenge 7: Collect Coins in Minimum Steps

Solution Review 7: Collect Coins in Minimum Steps

Challenge 8: Merge a Number of Sorted Arrays

Solution Review 8: Merge a Number of Sorted Arrays

Challenge 9: Find the Floor and Ceiling of a Number

Solution Review 9: Find the Floor and Ceil of a Number

Challenge 10: Inversion Count in an Array

Solution Review 10: Inversion Count in an Array

Quiz on Divide and Conquer

Conclusion

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Untitled Masterpiece

In this lesson, you will learn about finding the floor and ceiling of a number from a given pool of numbers.

Floor functions

A floor function takes a real number $x$ and returns the greatest Integer less than or equal to $x.$

For Example,

floor(x) = \lfloor x \rfloor

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