Difficulty: Easy
Correct Answer: It scans each element of the array from start to end and compares it with the target until it either finds a match or reaches the end.
Explanation:
Introduction / Context:
Linear search is one of the simplest and most fundamental search algorithms. It is often the first search technique implemented by students when learning C programming. Understanding how linear search works conceptually prepares you to write the corresponding C function and to compare it with more advanced algorithms like binary search.
Given Data / Assumptions:
• We are discussing a typical linear search implemented over an array in C.
• The algorithm receives an array, its length and a target value to search for.
• The array is not assumed to be sorted.
• The question asks which description best matches the behavior of linear search.
Concept / Approach:
A linear search (also called sequential search) checks elements one by one in sequence. Starting from index 0, it compares each element with the target. If it finds an element equal to the target, it usually returns the index or a success flag. If it reaches the end of the array without finding the target, it reports failure. This behavior is very different from binary search, which requires sorted data and repeatedly halves the search interval.
Step-by-Step Solution:
Step 1: Initialize an index i to 0.
Step 2: While i is less than the array length, compare array[i] with the target value.
Step 3: If array[i] equals the target, return i or indicate that the target is found and stop the search.
Step 4: If array[i] does not equal the target, increment i and repeat the comparison for the next element.
Step 5: If the loop completes without a match (i reaches the array length), return -1 or some special value indicating that the target is not present.
Verification / Alternative check:
To verify this description, consider searching for 7 in the array [3, 5, 7, 9]. A linear search would compare 3, then 5 and then 7, stopping as soon as it finds 7 at index 2. If you searched for 4 in the same array, the algorithm would compare 3, then 5, then 7, then 9 and finally conclude that 4 is not present after examining all elements. This matches the sequential, start to end scanning behavior described in the correct option.
Why Other Options Are Wrong:
Option B describes binary search, which divides the search interval in half and requires sorting the array first; this is not linear search. Option C is incorrect because no meaningful algorithm assumes the target is always in the middle; doing so would fail whenever the target is elsewhere or absent. Option D describes a heap based approach, which might be used for priority queues, not for a simple linear search over an unsorted array.
Common Pitfalls:
A common pitfall is to confuse linear and binary search because both are search algorithms. Remember that linear search does not require sorting and is O(n) in the worst case, whereas binary search requires a sorted array and runs in O(log n). Another pitfall is to forget to handle the "not found" case correctly in a C implementation, leading to returning an uninitialized index. Clearly understanding the conceptual behavior helps you implement the algorithm correctly and recognize it in multiple choice questions.
Final Answer:
A simple linear search in C scans each element from start to end, comparing it with the target until it either finds a match or reaches the end of the array.
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