Question

Computer Science

Posted 3 months ago

```
Design and write a binary search function that searches for a value in a sorted integer array of size
1000.
```

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Answer from Sia

Posted 3 months ago

python

python

Explanation

The binary search function takes a sorted array and a target value as inputs. It initializes two pointers to the start and end of the array and iteratively adjusts these pointers to find the target value. If the target is found, it returns the index; otherwise, it returns -1. The main function tests the binary search function with two use cases: one where the target value is in the array and one where it is not.

Step-by-step Instruction

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Initialize two pointers, left and right, to the start and end of the array, respectively

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Use a while loop to iterate as long as left is less than or equal to right

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Calculate the middle index using the formula $mid = \frac{left + right}{2}$

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Compare the target value with the middle element of the array and adjust pointers accordingly

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Return the index of the target if found, otherwise return -1

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Define the main function to test the binary search function with concrete use cases

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Call the main function to execute the tests

Time Complexity

The time complexity of binary search is $O(\log n)$ because the search space is halved with each iteration.

Space Complexity

The space complexity is $O(1)$ as it only uses a constant amount of extra space.

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