Algorithms in Ruby

Data Structers Lecture Codes in Ruby

An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for obtaining a required output for any legitimate input in a finite amount of time.

#Brute-Force

• - Selection Sort
• - String Matching
• - Calculate Polinom
• - Closest Points
• - Exhaustive Search

#Divide and Conquer

• - Merge Sort O(nlogn)
• - Quick Sort O(nlogn)
• - Binary Search

####Binary Tree

• - InOrder Tree Walk
• - Tree Search O(h)
• - Tree Minimum O(h)
• - Tree Maximum O(h)
• - Successor O(h)
• - Predecessor O(h)
• - Node Insertion O(h)
• - Node Deletion O(h)

Binary Tree Traversal O(n)

• - PreOrder
• - InOrder
• - PostOrder

#Decrease and Conquer

####Decrease by a constant

• Instertion Sort
• Depth-first search (DFS)
• Breadth-first search (BFS)
• Topological Sorting

####Decrease By Constant Factor

• Binary Search
• Exponentiation by Squaring
• Multiplication à la russe

####Variable-Size Decrease

• Euclid Algorithm
• Selection By Partition

#Transform and Conquer

####Instance simplification

• - Gaussian Elimination
• - Horner's Rule

####Problem Reduction

• - ICM

Heapsort O(nlogn)

- [ ] Heapify
- [ ] Build Heap
- [ ] Heap Sort