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How does binary search determine the middle element of the array?
How does binary search determine the middle element of the array?
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How does binary search determine the middle element of the array?
Using the first and last index
Using the average of all elements
Using the median value
Using a random index
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Binary search calculates the middle element using the formula (low + high) / 2, where low and high are the current bounds.
Questions & Step-by-step Solutions
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Q: How does binary search determine the middle element of the array?
Solution:
Binary search calculates the middle element using the formula (low + high) / 2, where low and high are the current bounds.
Steps: 3
Show Steps
Step 1: Identify the current bounds of the array. These are represented by two variables: 'low' (the starting index) and 'high' (the ending index).
Step 2: Use the formula (low + high) / 2 to calculate the middle index of the array. This gives you the position of the middle element.
Step 3: If the array has an even number of elements, this formula will give you the lower of the two middle indices.
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