Question: What happens if you apply binary search on a sorted array with duplicate elements?
Options:
It finds the first occurrence
It finds the last occurrence
It can find any occurrence
It fails
Correct Answer: It can find any occurrence
Solution:
Binary search can find any occurrence of the element, but it does not guarantee which one.
What happens if you apply binary search on a sorted array with duplicate element
Practice Questions
Q1
What happens if you apply binary search on a sorted array with duplicate elements?
It finds the first occurrence
It finds the last occurrence
It can find any occurrence
It fails
Questions & Step-by-Step Solutions
What happens if you apply binary search on a sorted array with duplicate elements?
Step 1: Start with a sorted array that contains duplicate elements.
Step 2: Choose a target value that you want to find in the array.
Step 3: Set two pointers: one at the beginning of the array (left) and one at the end (right).
Step 4: Calculate the middle index by using the formula: middle = (left + right) / 2.
Step 5: Check the value at the middle index.
Step 6: If the middle value is equal to the target, you have found an occurrence of the target.
Step 7: If the middle value is less than the target, move the left pointer to middle + 1.
Step 8: If the middle value is greater than the target, move the right pointer to middle - 1.
Step 9: Repeat steps 4 to 8 until the left pointer is greater than the right pointer.
Step 10: If you find the target, remember that there may be other occurrences in the array, but binary search does not specify which one you found.
Binary Search β A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
Sorted Array with Duplicates β An array that is ordered but contains multiple instances of the same value.
Occurrence of Elements β In the context of binary search, it refers to the ability to locate any instance of a target value, but not necessarily the first or last occurrence.
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