What is the logic of insertion sort?

What is the logic of insertion sort?

Insertion sort is the sorting mechanism where the sorted array is built having one item at a time. The array elements are compared with each other sequentially and then arranged simultaneously in some particular order. The analogy can be understood from the style we arrange a deck of cards.

How does an insertion sort work?

An insertion sort compares values in turn, starting with the second value in the list. If this value is greater than the value to the left of it, no changes are made. Otherwise this value is repeatedly moved left until it meets a value that is less than it. The sort process then starts again with the next value.

How do you write an algorithm for insertion sort?

Algorithm for Insertion Sort

  1. Step 1 − If the element is the first one, it is already sorted.
  2. Step 2 – Move to next element.
  3. Step 3 − Compare the current element with all elements in the sorted array.
  4. Step 4 – If the element in the sorted array is smaller than the current element, iterate to the next element.

Why is insertion sort O N 2?

O(n2). When analyzing algorithms, the average case often has the same complexity as the worst case. So insertion sort, on average, takes O ( n 2 ) O(n^2) O(n2) time. Insertion sort has a fast best-case running time and is a good sorting algorithm to use if the input list is already mostly sorted.

When insertion sort is a good choice for sorting an array?

Explanation: The insertion sort is good for sorting small arrays. It sorts smaller arrays faster than any other sorting algorithm.

Why Quicksort is better than insertion sort?

Quicksort algorithm is efficient if the size of the input is very large. But, insertion sort is more efficient than quick sort in case of small arrays as the number of comparisons and swaps are less compared to quicksort. So we combine the two algorithms to sort efficiently using both approaches.

Is quicksort better than insertion sort?

6 Answers. Insertion sort is faster for small n because Quick Sort has extra overhead from the recursive function calls. Insertion sort is also more stable than Quick sort and requires less memory.