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Two statements are given below, one is Assertion (A) and the other is Reason (R). Read the statements carefully and choose the correct answer.
Assertion (A): Linear search is an efficient searching algorithm for large arrays.
Reason (R): Linear search has a time complexity of O(n).
Reason (R): Linear search has a time complexity of O(n).
- a)Both A and R are correct, and R is the correct explanation of A.
- b)Both A and R are correct, but R is not the correct explanation of A.
- c)A is correct, but R is not correct.
- d)A is not correct, but R is correct.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Two statements are given below, one is Assertion (A) and the other is ...
Linear search has a time complexity of O(n), which means that it takes linear time to search an array. This makes it inefficient for large arrays, as the time taken to search the array grows linearly with the size of the array. Therefore, whether linear search is a simple and easy-to-implement algorithm, it is not efficient for large arrays.
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Two statements are given below, one is Assertion (A) and the other is ...
Explanation:
Assertion (A):
Linear search is an efficient searching algorithm for large arrays.
Reason (R):
Linear search has a time complexity of O(n).
1. Correctness of Assertion and Reason:
- The Assertion is not correct. Linear search is not considered efficient for large arrays because it has a time complexity of O(n), where 'n' represents the number of elements in the array.
- The Reason is correct. Linear search indeed has a time complexity of O(n), which means that the time taken to search for an element in the array increases linearly with the number of elements.
2. Explanation of Correct Answer:
- Option 'D' is the correct answer because while the Reason provided is accurate in stating the time complexity of linear search, the Assertion is incorrect in claiming it to be efficient for large arrays.
- Linear search becomes inefficient for large arrays as the time taken to search through each element linearly increases with the size of the array, making it less suitable for large datasets compared to more efficient algorithms like binary search.
In conclusion, linear search may be suitable for small arrays or unsorted data due to its simplicity, but it is not considered efficient for large arrays where algorithms with lower time complexities like binary search are preferred.
Assertion (A):
Linear search is an efficient searching algorithm for large arrays.
Reason (R):
Linear search has a time complexity of O(n).
1. Correctness of Assertion and Reason:
- The Assertion is not correct. Linear search is not considered efficient for large arrays because it has a time complexity of O(n), where 'n' represents the number of elements in the array.
- The Reason is correct. Linear search indeed has a time complexity of O(n), which means that the time taken to search for an element in the array increases linearly with the number of elements.
2. Explanation of Correct Answer:
- Option 'D' is the correct answer because while the Reason provided is accurate in stating the time complexity of linear search, the Assertion is incorrect in claiming it to be efficient for large arrays.
- Linear search becomes inefficient for large arrays as the time taken to search through each element linearly increases with the size of the array, making it less suitable for large datasets compared to more efficient algorithms like binary search.
In conclusion, linear search may be suitable for small arrays or unsorted data due to its simplicity, but it is not considered efficient for large arrays where algorithms with lower time complexities like binary search are preferred.
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Two statements are given below, one is Assertion (A) and the other is Reason (R). Read the statements carefully and choose the correct answer.Assertion (A): Linear search is an efficient searching algorithm for large arrays.Reason (R): Linear search has a time complexity of O(n).a)Both A and R are correct, and R is the correct explanation of A.b)Both A and R are correct, but R is not the correct explanation of A.c)A is correct, but R is not correct.d)A is not correct, but R is correct.Correct answer is option 'D'. Can you explain this answer?
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