Algorithms in Python

Implementations of a few algorithms and datastructures for fun and profit!

Completed

• Karatsuba Multiplication
• Basic Sorting
• Rabin-Miller primality test
• Sieve of Eratosthenes for prime numbers
• Binary Search
• Counting Inversions in an array
• Selecting ith order statistic in an array
• Graph datastructure (directed & undirected)
• Graph Algos
  • Topological Sorting
  • Shortest hops
  • DFS
  • BFS
  • Connected Components
  • Dijkstra's Shortest Path - O(mlogn)
  • Prim's Minimum Cost Spanning Tree - O(mlogn)
  • Kruskal's Minimum Spanning Tree - O(mlogn)
  • Max k Clustering
  • Bellman Ford
  • Floyd Warshall
  • Johnson's Algorithm
• Heap datastructure
  • Max heaps
  • Min heaps (priority queue)
  • Heapsort
• Job Scheduling
• UnionFind Data Structure
• Binary Search Tree
• Kandane's Algorithm
• Knapsack Problem (0/1 and unbounded)
• Longest Increasing Subsequence
• Longest Common Subsequence
• Prefix Tries
• Stack ADT (with example problems)
  • String Reverse
  • Parenthesis Matching
  • Infix to Postfix
• Modular exponentiation
• Modular multiplicative inverse

Tests

python -m tests.graph_test
python -m tests.digraph_test
python -m tests.graph_algorithms_test
python -m tests.heap_test
python -m tests.unionfind_test
python -m tests.singly_linked_list_test
python -m tests.modular_exponentiation_test
python -m tests.modular_multiplicative_inverse_test