1. Implement a binary search algorithm for a rotated sorted array.
2. Create a function to find the k-th smallest element in an unsorted array.
3. Write an algorithm to search for a range of elements in a sorted array.
4. Develop a program to find the first and last occurrence of a target value in a sorted array.
5. Implement a search algorithm for finding the longest substring without repeating characters.
6. Create a function to find the intersection of two sorted arrays.
7. Write a program that searches for a path in a maze using depth-first search (DFS).
8. Develop an algorithm to find a peak element in a 2D array.
9. Implement a ternary search algorithm for a sorted array.
10. Create a function that searches for the square root of a number using binary search.
11. Write an algorithm to find the minimum in a rotated sorted array.
12. Develop a program to search for the longest common prefix in an array of strings.
13. Implement an algorithm to search for the smallest missing positive integer in an unsorted array.
14. Create a function that searches for a specific pattern in a text using the KMP algorithm.
15. Write a program to find the median of two sorted arrays.
16. Develop an algorithm that searches for a number in a 2D matrix where each row and column is sorted.
17. Implement a function that searches for the longest increasing subsequence in an array.
18. Create an algorithm to search for all anagrams of a string in a given text.
19. Write a program that searches for the longest valid parentheses substring.
20. Develop a function to find all pairs in an array that sum to a target value.
21. Implement a search algorithm for the maximum sum of non-adjacent elements in an array.
22. Create a function to search for the maximum length of a substring with at most two distinct characters.
23. Write an algorithm that finds the smallest window in a string containing all characters of another string.
24. Develop a program that searches for the longest palindrome in a string using dynamic programming.
25. Implement an algorithm to search for the longest common substring between two strings.
26. Create a function that searches for all unique triplets in an array that sum to zero.
27. Write a program to find the number of unique paths in a grid using depth-first search.
28. Develop a function to search for the longest arithmetic subsequence in an array.
29. Implement an algorithm to search for the minimum number of coins required to make a specific amount.
30. Create a function that searches for the closest pair in a sorted array.
31. Write a program to find the maximum subarray product.
32. Develop a function that searches for the longest path in a binary tree.
33. Implement a search algorithm for a specific value in a binary search tree (BST).
34. Create a function that finds all the duplicates in an array using hashing.
35. Write a program that searches for the longest continuous increasing subsequence in an array.
36. Develop an algorithm to search for the maximum product subarray.
37. Implement a function to search for the longest path in a directed graph using DFS.
38. Create an algorithm to find the minimum number of swaps required to sort an array.
39. Write a program that searches for a value in a 2D grid using binary search.
40. Develop a function that finds the largest rectangle in a histogram using a stack.