Visually Explained Algorithms The insertion sort starts with the value at index 1 and compares it to the value at index 0. If the value at index 1 is less than the value at index 0, the values are swapped. The index is incremented, and the procedure is repeated. The best way to see this is with an example. We’ll start off with the following array. The algorithm starts at index position 1. The first comparison is executed. The insertion sort algorithm starts at index 1 and compares it to the index before, which in this case is index 0.

Visually Explained Algorithms Like most sorting algorithms, the Quick Sort algorithm sorts an array of items in ascending order. There are numerous approaches to Quick Sort. This article will focus on one method. T his approach selects the left-most element of the array as the pivot.  It then compares it against the last element in the array. If the pivot is less than the element it’s being compared to, that element becomes the pivot and the left side is incremented. If the pivot is greater than the element it’s being compared to, the index value of that element is incremented. This occurs until

The heap denotes an ordered binary tree. A heap can be built from a one-dimensional array. In this one-dimensional array: n represents the index of the parent node (n = 1, 2, 3, …) 2n represents the index of the left child 2n + 1 represents the index of the right child If we have the following array, we can construct a heap from it following the rules outlined above.     Since there are 6 elements, the heap will have 6 nodes. Although the indices of the array start at 0, when numbering the elements in the heap, the first element starts