List of problems where Binary search algorithm can be used

List of problems where Binary search algorithm can be used:

1. Finding a specific element in a sorted array: This is a classic problem where binary search can be used to find a specific element in a sorted array. The algorithm repeatedly divides the search interval in half and returns the midpoint if the element is found, or continues the search in the left or right half depending on whether the target is greater or less than the midpoint.
2. Sorted order of the elements of the array: Given an array, we can use binary search to determine if the array is sorted in ascending or descending order.
3. Searching for a range in a sorted array: Given a sorted array, we can use binary search to find a range of a given element, in other words to find the first and last occurrence of the element in the array.
4. Finding the smallest missing positive integer in an array: Given an unsorted array, we can use binary search to find the first missing positive integer.
5. Closest number in a sorted array: Given a sorted array and a target number, we can use binary search to find the closest element to the target number in the array.
6. Finding the square root of a number: As in the program I showed earlier, it's possible to use binary search to find the square root of a number.
7. Searching for a peak element in an array: Given an array with some peak element, we can use binary search to find the peak element.
8. Finding a majority element in an array: Given an array, we can use binary search to find the majority element in an array.
9. Finding the kth smallest element in an array: Given an array and an integer k, we can use binary search to find the kth smallest element in the array.
10. Finding the solution to an equation: Given a mathematical equation, we can use binary search to find the solution to the equation. For example, finding the root of a function f(x) = 0.
11. Determining the number of solutions of an equation: Given an equation that has multiple solutions, we can use binary search to determine the number of solutions of an equation.
12. Searching for a specific point in a geometric figure: Given a geometric figure and a specific point, we can use binary search to find the closest point in the figure to the specific point.
13. Finding the smallest element greater than or equal to a given element in a sorted array: Given a sorted array and an element, we can use binary search to find the smallest element greater than or equal to the given element in the array.
14. Finding the number of occurrences of a given element in a sorted array: Given a sorted array and an element, we can use binary search to find the number of occurrences of the element in the array.
15. Searching for a specific element in a tree: Given a sorted binary search tree and an element, we can use binary search to find the element in the tree.
16. Finding the kth element in two sorted arrays: Given two sorted arrays and an integer k, we can use binary search to find the kth element in the two arrays.
17. Finding the minimum and maximum element in an array: Given an array, we can use binary search to find the minimum and maximum element in the array.
18. Finding the first or last occurrence of an element in a rotated sorted array: Given a rotated sorted array and an element, we can use binary search to find the first or last occurrence of the element in the array.
19. Finding the maximum sum subarray in an array: Given an array, we can use binary search to find the maximum sum subarray in the array.
20. Finding the kth smallest element in a binary search tree: Given a binary search tree and an integer k, we can use binary search to find the kth smallest element in the tree.
21. Searching for a specific element in a balanced binary tree: Given a balanced binary tree and an element, we can use binary search to find the element in the tree.
22. Finding the number of elements in a range in a binary search tree: Given a binary search tree and a range of elements, we can use binary search to find the number of elements within the range in the tree.

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