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Which of the following statements is correct with respect to insertion sort?
*Online - can sort a list at runtime
*Stable - doesn't change the relative order of elements with equal keys.
*Stable - doesn't change the relative order of elements with equal keys.
- a)Insertion sort is stable, online but not suited well for large number of elements.
- b)Insertion sort is unstable and online
- c)Insertion sort is online and can be applied to more than 100 elements
- d)Insertion sort is stable & online and can be applied to more than 100 elements
Correct answer is option 'A'. Can you explain this answer?
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Which of the following statements is correct with respect to insertion...
Time taken by algorithm is good for small number of elements, but increases quadratically for large number of elements.
Most Upvoted Answer
Which of the following statements is correct with respect to insertion...
Explanation:
Insertion Sort:
Insertion sort is a simple sorting algorithm that builds the final sorted array one item at a time. It is an in-place comparison-based sorting algorithm. The basic idea behind insertion sort is to divide the input array into two parts: the sorted part and the unsorted part. Initially, the sorted part contains only the first element of the array, and the unsorted part contains the rest. The algorithm repeatedly takes the first element from the unsorted part and inserts it into its correct position in the sorted part. This process continues until the unsorted part becomes empty, and the sorted part contains all elements in the desired order.
Stability:
A sorting algorithm is said to be stable if it maintains the relative order of elements with equal keys. In other words, if two elements have equal keys, their relative order in the sorted array should be the same as their order in the original array.
Online:
An online algorithm is one that can sort a list at runtime, meaning it can process and sort elements as they are received, without needing to have the entire list upfront.
Applicability to Large Number of Elements:
The efficiency of insertion sort decreases as the number of elements to be sorted increases. It has a time complexity of O(n^2), which means it is not well-suited for sorting large lists. Other sorting algorithms like merge sort or quicksort have better average and worst-case time complexities, making them more suitable for large datasets.
Correct Answer:
The correct statement is option 'A': Insertion sort is stable, online but not suited well for a large number of elements.
- Stability: Insertion sort is a stable sorting algorithm as it maintains the relative order of elements with equal keys.
- Online: Insertion sort is an online algorithm as it can sort a list at runtime, processing and sorting elements as they are received.
- Applicability to Large Number of Elements: Insertion sort is not well-suited for sorting a large number of elements due to its time complexity of O(n^2). Other sorting algorithms like merge sort or quicksort are more efficient for large datasets.
Therefore, option 'A' is the correct statement regarding insertion sort.
Insertion Sort:
Insertion sort is a simple sorting algorithm that builds the final sorted array one item at a time. It is an in-place comparison-based sorting algorithm. The basic idea behind insertion sort is to divide the input array into two parts: the sorted part and the unsorted part. Initially, the sorted part contains only the first element of the array, and the unsorted part contains the rest. The algorithm repeatedly takes the first element from the unsorted part and inserts it into its correct position in the sorted part. This process continues until the unsorted part becomes empty, and the sorted part contains all elements in the desired order.
Stability:
A sorting algorithm is said to be stable if it maintains the relative order of elements with equal keys. In other words, if two elements have equal keys, their relative order in the sorted array should be the same as their order in the original array.
Online:
An online algorithm is one that can sort a list at runtime, meaning it can process and sort elements as they are received, without needing to have the entire list upfront.
Applicability to Large Number of Elements:
The efficiency of insertion sort decreases as the number of elements to be sorted increases. It has a time complexity of O(n^2), which means it is not well-suited for sorting large lists. Other sorting algorithms like merge sort or quicksort have better average and worst-case time complexities, making them more suitable for large datasets.
Correct Answer:
The correct statement is option 'A': Insertion sort is stable, online but not suited well for a large number of elements.
- Stability: Insertion sort is a stable sorting algorithm as it maintains the relative order of elements with equal keys.
- Online: Insertion sort is an online algorithm as it can sort a list at runtime, processing and sorting elements as they are received.
- Applicability to Large Number of Elements: Insertion sort is not well-suited for sorting a large number of elements due to its time complexity of O(n^2). Other sorting algorithms like merge sort or quicksort are more efficient for large datasets.
Therefore, option 'A' is the correct statement regarding insertion sort.
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Which of the following statements is correct with respect to insertion sort?*Online - can sort a list at runtime*Stable - doesn't change the relative order of elements with equal keys.a)Insertion sort is stable, online but not suited well for large number of elements.b)Insertion sort is unstable and onlinec)Insertion sort is online and can be applied to more than 100 elementsd)Insertion sort is stable & online and can be applied to more than 100 elementsCorrect answer is option 'A'. Can you explain this answer?
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