search
HomeJavajavaTutorialMerge Sort Algorithm

Merge Sort Algorithm

Jan 21, 2025 pm 10:04 PM

In-depth understanding of the merge sort algorithm

Merge Sort Algorithm

The core idea of ​​the merge sort algorithm is the divide and conquer method, that is, "divide and conquer". It recursively divides an array into smaller subarrays until each subarray contains only one element (which is now sorted). It then merges these subarrays into a larger sorted array. It is worth noting that the sorting process occurs during the merge phase, not the split phase.

Algorithm Demonstration

Suppose we have an array to be sorted:

Merge Sort Algorithm

We divide the array into two left and right sub-arrays:

Merge Sort Algorithm

Continue recursive splitting until each subarray has only one element:

Merge Sort Algorithm

Next, merge and sort these subarrays: smaller values ​​on the left, larger values ​​on the right.

Merge Sort Algorithm

Finally sorted:

Merge Sort Algorithm

Code implementation (Java)

The original Java code has some efficiency issues that we can optimize. The improved code is as follows:

import java.util.Arrays;

public static void mergeSort(int[] array) {
    int n = array.length;
    if (n < 2) {
        return;
    }
    int middle = n / 2;
    int[] left = Arrays.copyOfRange(array, 0, middle);
    int[] right = Arrays.copyOfRange(array, middle, n);

    mergeSort(left);
    mergeSort(right);

    int leftIndex = 0;
    int rightIndex = 0;
    int arrayIndex = 0;

    while (leftIndex < left.length || rightIndex < right.length) {
        if (leftIndex < left.length && (rightIndex >= right.length || left[leftIndex] <= right[rightIndex])) {
            array[arrayIndex++] = left[leftIndex++];
        } else {
            array[arrayIndex++] = right[rightIndex++];
        }
    }
}

This optimized code uses the Arrays.copyOfRange() method to copy array elements more efficiently, and simplifies the loop conditions and judgment statements in the merging process, thus improving the readability and efficiency of the code.

Hope this improved explanation and code can help you better understand the merge sort algorithm!

The above is the detailed content of Merge Sort Algorithm. For more information, please follow other related articles on the PHP Chinese website!

Statement
The content of this article is voluntarily contributed by netizens, and the copyright belongs to the original author. This site does not assume corresponding legal responsibility. If you find any content suspected of plagiarism or infringement, please contact admin@php.cn
What are the advantages of using bytecode over native code for platform independence?What are the advantages of using bytecode over native code for platform independence?Apr 30, 2025 am 12:24 AM

Bytecodeachievesplatformindependencebybeingexecutedbyavirtualmachine(VM),allowingcodetorunonanyplatformwiththeappropriateVM.Forexample,JavabytecodecanrunonanydevicewithaJVM,enabling"writeonce,runanywhere"functionality.Whilebytecodeoffersenh

Is Java truly 100% platform-independent? Why or why not?Is Java truly 100% platform-independent? Why or why not?Apr 30, 2025 am 12:18 AM

Java cannot achieve 100% platform independence, but its platform independence is implemented through JVM and bytecode to ensure that the code runs on different platforms. Specific implementations include: 1. Compilation into bytecode; 2. Interpretation and execution of JVM; 3. Consistency of the standard library. However, JVM implementation differences, operating system and hardware differences, and compatibility of third-party libraries may affect its platform independence.

How does Java's platform independence support code maintainability?How does Java's platform independence support code maintainability?Apr 30, 2025 am 12:15 AM

Java realizes platform independence through "write once, run everywhere" and improves code maintainability: 1. High code reuse and reduces duplicate development; 2. Low maintenance cost, only one modification is required; 3. High team collaboration efficiency is high, convenient for knowledge sharing.

What are the challenges in creating a JVM for a new platform?What are the challenges in creating a JVM for a new platform?Apr 30, 2025 am 12:15 AM

The main challenges facing creating a JVM on a new platform include hardware compatibility, operating system compatibility, and performance optimization. 1. Hardware compatibility: It is necessary to ensure that the JVM can correctly use the processor instruction set of the new platform, such as RISC-V. 2. Operating system compatibility: The JVM needs to correctly call the system API of the new platform, such as Linux. 3. Performance optimization: Performance testing and tuning are required, and the garbage collection strategy is adjusted to adapt to the memory characteristics of the new platform.

How does the JavaFX library attempt to address platform inconsistencies in GUI development?How does the JavaFX library attempt to address platform inconsistencies in GUI development?Apr 30, 2025 am 12:01 AM

JavaFXeffectivelyaddressesplatforminconsistenciesinGUIdevelopmentbyusingaplatform-agnosticscenegraphandCSSstyling.1)Itabstractsplatformspecificsthroughascenegraph,ensuringconsistentrenderingacrossWindows,macOS,andLinux.2)CSSstylingallowsforfine-tunin

Explain how the JVM acts as an intermediary between the Java code and the underlying operating system.Explain how the JVM acts as an intermediary between the Java code and the underlying operating system.Apr 29, 2025 am 12:23 AM

JVM works by converting Java code into machine code and managing resources. 1) Class loading: Load the .class file into memory. 2) Runtime data area: manage memory area. 3) Execution engine: interpret or compile execution bytecode. 4) Local method interface: interact with the operating system through JNI.

Explain the role of the Java Virtual Machine (JVM) in Java's platform independence.Explain the role of the Java Virtual Machine (JVM) in Java's platform independence.Apr 29, 2025 am 12:21 AM

JVM enables Java to run across platforms. 1) JVM loads, validates and executes bytecode. 2) JVM's work includes class loading, bytecode verification, interpretation execution and memory management. 3) JVM supports advanced features such as dynamic class loading and reflection.

What steps would you take to ensure a Java application runs correctly on different operating systems?What steps would you take to ensure a Java application runs correctly on different operating systems?Apr 29, 2025 am 12:11 AM

Java applications can run on different operating systems through the following steps: 1) Use File or Paths class to process file paths; 2) Set and obtain environment variables through System.getenv(); 3) Use Maven or Gradle to manage dependencies and test. Java's cross-platform capabilities rely on the JVM's abstraction layer, but still require manual handling of certain operating system-specific features.

See all articles

Hot AI Tools

Undresser.AI Undress

Undresser.AI Undress

AI-powered app for creating realistic nude photos

AI Clothes Remover

AI Clothes Remover

Online AI tool for removing clothes from photos.

Undress AI Tool

Undress AI Tool

Undress images for free

Clothoff.io

Clothoff.io

AI clothes remover

Video Face Swap

Video Face Swap

Swap faces in any video effortlessly with our completely free AI face swap tool!

Hot Tools

SublimeText3 Chinese version

SublimeText3 Chinese version

Chinese version, very easy to use

PhpStorm Mac version

PhpStorm Mac version

The latest (2018.2.1) professional PHP integrated development tool

ZendStudio 13.5.1 Mac

ZendStudio 13.5.1 Mac

Powerful PHP integrated development environment

mPDF

mPDF

mPDF is a PHP library that can generate PDF files from UTF-8 encoded HTML. The original author, Ian Back, wrote mPDF to output PDF files "on the fly" from his website and handle different languages. It is slower than original scripts like HTML2FPDF and produces larger files when using Unicode fonts, but supports CSS styles etc. and has a lot of enhancements. Supports almost all languages, including RTL (Arabic and Hebrew) and CJK (Chinese, Japanese and Korean). Supports nested block-level elements (such as P, DIV),

EditPlus Chinese cracked version

EditPlus Chinese cracked version

Small size, syntax highlighting, does not support code prompt function