One Pager Cheat Sheet

• The Cycle Sort algorithm is an in-place sorting algorithm that takes advantage of the underlying assumption that an unsorted list is similar to a graph, where nodes are connected with edges, to find an index for an element in the sorted list by counting the number of elements smaller than it.`
• We can order an array by iterating through the elements, counting the number of smaller elements than the current element at each index, and swapping the current element with the element found at the index found in step 2.
• The updated array has been swapped, resulting in [14, 4, 6, 8, 9, 3].
• The element at index 0 was compared to all the remaining elements and its value was replaced by the value of the element at index 5 (3) to put it in its correct sorted position.
• The process of finding the correct element for each index of the array continues until no cycle or proceeding greater element is present.
• The total number of swap operations performed to find the correct element for the first index is 2.
• Cycle Sort is an in-place algorithm that finds and puts elements into their correct positions without requiring additional memory, taking maximum time for an unsorted array but being much faster for a sorted one.
• This algorithm can be implemented in Python.
• The sort_arr function accepts an input array and returns the number of write operations required to sort it in-place.
• Three operations were performed to sort the Array from [3, 4, 6, 8, 9, 14] to [3, 4, 6, 8, 9, 14].
• Cycle Sort is an in-place algorithm with fewer write operations, making it preferable in situations where write operations are expensive.
• Cycle sort is an in-place sorting algorithm that does not require any extra memory to complete the sorting process.