Welcome to our comprehensive Java Radix Sort tutorial! In this lesson, we'll dive deep into understanding the concept of Radix Sort, its implementation, and its real-world applications. By the end of this tutorial, you'll be equipped with the knowledge to sort arrays efficiently using Java.
Radix Sort is a non-comparative sorting algorithm that sorts data based on the number of digits (radix) in the data. It's particularly useful for sorting large numbers and strings.
Radix Sort is a stable sorting algorithm, meaning it preserves the relative order of equal elements. It's also efficient in sorting arrays with a large number of digits. However, it might not be the best choice for small datasets due to its time complexity being O(nk), where n is the number of elements and k is the maximum number of digits.
Let's implement a simple version of Radix Sort for sorting an array of integers.
public class RadixSort {
public static void radixSort(int[] arr) {
int maxValue = findMaxValue(arr);
int maxDigits = String.valueOf(maxValue).length();
for (int currentDigit = 1; currentDigit <= maxDigits; currentDigit++) {
int[] bucketArray = new int[arr.length]; // bucket for each digit
int[] counts = new int[10]; // count of elements in each bucket
for (int i = 0; i < arr.length; i++) {
int digit = (arr[i] / (int) Math.pow(10, currentDigit)) % 10;
bucketArray[digit]++;
}
// Cumulative sum of counts
for (int i = 1; i < 10; i++) {
bucketArray[i] += bucketArray[i - 1];
}
int index = arr.length - 1;
for (int i = arr.length - 1; i >= 0; i--) {
int digit = (arr[i] / (int) Math.pow(10, currentDigit)) % 10;
arr[bucketArray[digit] - 1] = arr[i];
bucketArray[digit]--;
}
}
}
public static int findMaxValue(int[] arr) {
int maxValue = arr[0];
for (int value : arr) {
if (value > maxValue) {
maxValue = value;
}
}
return maxValue;
}
public static void main(String[] args) {
int[] arr = {170, 45, 75, 90, 802, 24, 2, 34};
radixSort(arr);
System.out.println(Arrays.toString(arr));
}
}š” Pro Tip: Radix Sort can also be extended to sort strings by treating each character as a digit in a large base.
What is the time complexity of Radix Sort?
What makes Radix Sort a stable sorting algorithm?