You must have copied this incorrectly. It should be (endindex - startindex)/2 + startindexzak100 said:int midIndex = (endIndex - startIndex / 2) + startIndex;
Where did you find that equation ?zak100 said:the following equation
The running time of a binary search algorithm can be determined by counting the number of comparisons made during the search. Each iteration of the search involves dividing the search space in half, so the running time is proportional to the logarithm of the size of the search space.
The time complexity of a binary search algorithm is O(log n), where n is the size of the search space. This means that as the size of the input increases, the running time increases at a slower rate than the size of the input.
The input size directly affects the running time of a binary search algorithm. As the input size increases, the running time increases at a slower rate. This is because the search space is divided in half with each iteration, making the algorithm more efficient for larger input sizes.
The best case scenario for a binary search algorithm is when the target element is located at the middle of the search space. This means that the algorithm will only need to make one comparison before finding the target element, resulting in a time complexity of O(1).
Understanding binary search running time can be useful in real-world applications where large datasets need to be searched quickly. By knowing the time complexity of the algorithm, developers can optimize their code to improve performance and make the search process more efficient. This can be particularly useful in tasks such as searching through large databases or finding specific elements in an array.