1. Write a program to implement a binary search algorithm recursively.
2. Write a program to find the longest common subsequence in two strings.
3. Write a program to solve the N-Queens problem.
4. Write a program to implement the quicksort algorithm.
5. Write a program to implement the mergesort algorithm.
6. Write a program to solve the 0/1 Knapsack problem using dynamic programming.
7. Write a program to find the shortest path in a weighted graph using Dijkstra's algorithm.
8. Write a program to implement a binary tree and perform level-order traversal.
9. Write a program to find the maximum sum path in a binary tree.
10. Write a program to find all subsets of a given set using backtracking.
11. Write a program to implement a priority queue using a heap.
12. Write a program to detect a cycle in a directed graph.
13. Write a program to implement a trie for storing strings.
14. Write a program to find the intersection of two sorted arrays.
15. Write a program to implement a depth-first search (DFS) on a graph.
16. Write a program to implement a breadth-first search (BFS) on a graph.
17. Write a program to implement a hash table with collision resolution using chaining.
18. Write a program to implement a stack using linked lists.
19. Write a program to implement a queue using linked lists.
20. Write a program to find the first non-repeating character in a string using a hash map.
21. Write a program to implement a circular linked list.
22. Write a program to reverse a linked list in groups of size k.
23. Write a program to find the median of two sorted arrays.
24. Write a program to find the longest palindrome substring in a string.
25. Write a program to perform matrix multiplication.
26. Write a program to find the transpose of a matrix.
27. Write a program to implement the Floyd-Warshall algorithm for finding shortest paths.
28. Write a program to implement a simple text editor with basic commands (insert, delete).
29. Write a program to find the longest substring with at most k distinct characters.
30. Write a program to solve the coin change problem using dynamic programming.
31. Write a program to find the number of ways to reach the nth stair using 1 or 2 steps.
32. Write a program to find the longest increasing subsequence in an array.
33. Write a program to implement a simple file compression algorithm.
34. Write a program to implement a simple file decompression algorithm.
35. Write a program to sort an array of strings by their lengths.
36. Write a program to implement a basic calculator for arithmetic expressions.
37. Write a program to count the number of prime numbers in a given range.
38. Write a program to generate all prime numbers up to a given limit using the Sieve of Eratosthenes.
39. Write a program to find the largest rectangle in a histogram.
40. Write a program to find the number of islands in a 2D grid.