Wednesday, January 29, 2014

সব টপিক এর উপর কিছু গুরুত্বপূর্ণ এলগরিদম !


Mathematics:


  1. Prime finding(sieve)
  2. Prime factorization
  3. GCD, LCM
  4. Factorial
  5. Fibonacci
  6. Counting, Permutation, combination
  7. Exponentiation
  8. Modular Arithmetic
  9. Euclid, Extended euclid

Data Structure:

  1. Stack
  2. Queue
  3. Priority Queue
  4. Linked list
  5. Heap
  6. Hash table
  7. Disjoint Set, Union Find
  8. Binary Search Tree
  9. Trie, Suffix Array
  10. Segmented Tree,Range minimum Query
  11. Binary Indexed Tree(BIT)
  12. Heavy light Decomposition

Sorting:

  1. Bubble Sort
  2. Selection Sort
  3. Insertion Sort
  4. Quick Sort
  5. Merge Sort
  6. Counting Sort
  7. Radix Sort
  8. Bucket Sort
  9. Heap Sort
  10. Searching:
  11. Linear Search
  12. Binary Search
  13. Ternary Search
  14. Map, HashMap

Dynamic Programming

  1. Rod Cutting
  2. Maximum Sum (1D, 2D)
  3. Coin Change
  4. Longest Common Subsequence
  5. Longest Increasing subsequence, Longest Decreasing Subsequence
  6. Matrix Chain multiplication
  7. Edit Distance
  8. Knapsack problem, 0-1 Knapsack
  9. Bitmask DP
  10. Traveling Salesman problem

Greedy Algorithm:

  1. Activity selection/Task scheduling problem
  2. Huffman coding

Graph Theory:

  1. Graph Representation(matrix, list/vector)
  2. Breadth First Search(BFS)
  3. Depth First Search(DFS)
  4. Topological Sort
  5. Strongly Connected Component(SCC)
  6. Minimum Spanning Tree(kruskal, prim)
  7. All pair's shortest path(Floyd Warshall)
  8. Djkastra algorithm
  9. Bellman Ford Algorithm
  10. Directed Acyclic Graph
  11. Bipartite Matching
  12. Max-Flow, Min-cost max-flow
  13. Cayley's Theorem
  14. Articulation Point, Bridge
  15. Euler tour/path
  16. Hamiltonian Cycle
  17. Stable Marriage problem
  18. Chinese Postman problem
  19. Number Theory:
  20. Josephus Problem
  21. Farey Sequence
  22. Euler's phi
  23. Catalan numbers
  24. Burnside's lemma/circular permutation
  25. Modular inverse
  26. Probability
  27. Chinese Remainder Theorem
  28. Gaussian Elmination method
  29. Dilworth's Theorem
  30. Matrix Exponentiation
  31. Determinant of a matrix
  32. RSA public key crypto System
  33. Computational Geometry:
  34. Pick's Theorem
  35. Convex hull
  36. Line Intersection
  37. Point in a polygon
  38. Area of a polygon
  39. Line Sweeping
  40. Polygon intersection
  41. Closest Pair

Game Theory:

  1. Take Away game
  2. Nim
  3. Sprague-grundy Number

String

  1. Naive String matching 
  2. Rabin karp Algo
  3. Finite Automata
  4. Knuth-Marris-Pratt Algo
  5. Manacher's Algo
  6. Aho korasick's Algo
  7. Boyer-Moore algo

Others:
Recursion
C++ Standard Template Library(STL)
Backtracking
Hungarian Algorithm

Tuesday, January 28, 2014

আউলা পোস্ট

কি করব ঠিক জানি না,
আদৌ কিছু করবো কিনা তাও বলতে পারছি না। 
প্রোগ্রামিং নিয়ে কিছু লিখবো ভেবে খুললাম ,
মনে যখন যা আসবে, লিখবো। 
যা ভালো লাগবে লিখবো। 
নিজের জন্য শুভকামনা :)