Hello! Today, we will discuss the Radix Sort algorithm using Swift. Radix Sort is an efficient algorithm that sorts by grouping similar numbers together, primarily used for sorting a set of integers.<\/p>\n
Radix Sort is a comparison-based sorting algorithm that sorts numbers or strings by breaking them into digits. Radix Sort works as follows:<\/p>\n
Radix Sort is a stable sorting algorithm, and its average and worst-case time complexity is Now let’s solve the following problem using Radix Sort.<\/p>\n Sort the following integer array in ascending order using the Radix Sort algorithm:<\/p>\n To solve the problem, we will implement the Radix Sort algorithm step by step. We will write the code using pre-defined functions and structures in Swift.<\/p>\n As the first step of Radix Sort, we separate based on each digit place. To perform this task, we will create a function to extract digits according to their place value.<\/p>\n Now let’s implement the complete Radix Sort algorithm. We need to create an array to group by digit places and sort accordingly.<\/p>\n Now let's output the results using the Radix Sort algorithm. We will call the functions we implemented above to sort the given array.<\/p>\n Radix Sort is an effective method for grouping and sorting data based on specific digit places. We were able to sort an integer array in ascending order using this algorithm. By implementing Radix Sort in Swift, we gained an understanding of the principles of the algorithm and how to systematically solve problems.<\/p>\nO(nk)<\/code>, where n<\/code> is the number of elements and k<\/code> is the maximum number of digits.<\/p>\nProblem Description<\/h2>\n
Problem:<\/h3>\n
[170, 45, 75, 90, 802, 24, 2, 66]<\/code><\/pre>\nSolution<\/h2>\n
Step 1: Separating by Digit Places<\/h3>\n
func getDigit(number: Int, digitIndex: Int) -> Int {\n return (number \/ Int(pow(10.0, Double(digitIndex)))) % 10\n}\n<\/code><\/pre>\nStep 2: Implementing the Radix Sort Algorithm<\/h3>\n
func radixSort(array: [Int]) -> [Int] {\n let maxNumber = array.max() ?? 0\n let maxDigits = String(maxNumber).count\n \n var sortedArray = array\n \n for digitIndex in 0..func countingSort(array: [Int], digitIndex: Int) -> [Int] {\n let countArraySize = 10\n var countArray = [Int](repeating: 0, count: countArraySize)\n var outputArray = [Int](repeating: 0, count: array.count)\n \n for number in array {\n let digit = getDigit(number: number, digitIndex: digitIndex)\n countArray[digit] += 1\n }\n \n for index in 1..Step 3: Outputting the Result<\/h3>\n
let unsortedArray = [170, 45, 75, 90, 802, 24, 2, 66]\nlet sortedArray = radixSort(array: unsortedArray)\n\nprint(\"Sorted array: \\(sortedArray)\")\n<\/code><\/pre>\nConclusion<\/h2>\n
References<\/h2>\n