1. Write a program to implement Dijkstra's algorithm for finding the shortest path in a graph.
2. Write a program to solve the traveling salesman problem using backtracking.
3. Write a program to implement a basic blockchain.
4. Write a program to perform matrix exponentiation.
5. Write a program to implement a LRU cache.
6. Write a program to find the longest increasing subsequence in O(n log n) time.
7. Write a program to implement the A* search algorithm.
8. Write a program to find all strongly connected components in a directed graph using Tarjan's algorithm.
9. Write a program to implement the KMP string matching algorithm.
10. Write a program to solve the knapsack problem using dynamic programming.
11. Write a program to find the shortest path in a weighted graph using Bellman-Ford algorithm.
12. Write a program to implement a simple spell checker using a trie.
13. Write a program to serialize and deserialize a binary tree.
14. Write a program to perform k-way merging of k sorted lists.
15. Write a program to implement the Rabin-Karp string matching algorithm.
16. Write a program to find the maximum flow in a flow network using the Ford-Fulkerson method.
17. Write a program to generate all combinations of a balanced parentheses string.
18. Write a program to find the nth Fibonacci number using matrix exponentiation.
19. Write a program to find all subsets of a set that sum up to a given number.
20. Write a program to find the maximum rectangle in a binary matrix of 1s.
21. Write a program to implement a dynamic programming solution for the coin change problem.
22. Write a program to find the longest palindromic substring in O(n) time.
23. Write a program to implement a basic genetic algorithm.
24. Write a program to solve the Sudoku puzzle using backtracking.
25. Write a program to implement the Merge Sort algorithm using linked lists.
26. Write a program to calculate the edit distance between two strings.
27. Write a program to implement a simple chat server using sockets.
28. Write a program to find the longest substring with at most k distinct characters using a sliding window.
29. Write a program to perform a depth-first search on a graph with cycles.
30. Write a program to implement the Floyd-Warshall algorithm for all-pairs shortest paths.
31. Write a program to find the minimum spanning tree using Kruskal's algorithm.
32. Write a program to implement a basic web crawler with multithreading.
33. Write a program to calculate the maximum subarray sum in O(n) time.
34. Write a program to find the number of unique paths in a grid with obstacles.
35. Write a program to implement the backtracking solution for the N-Queens problem.
36. Write a program to implement the binary search tree with insertion, deletion, and traversal methods.
37. Write a program to find the shortest path from a source to all vertices in a graph using BFS.
38. Write a program to implement a simple priority queue using a heap.
39. Write a program to find the longest path in a binary tree.
40. Write a program to implement a basic password hashing function.