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Do you want to implement Technical SEO on your website? Then this article will provide an in-depth guide as to how one can use it to drive more traffic to their website and make it popular on search engines.

Technical SEO-What Is It?

Making a website more search engine friendly through technical SEO is a process, but it can also involve user experience-related chores.

Typical technical SEO chores include the following −

Sitemap submission to Google

Constructing a website structure that is search engine friendly

Increasing the speed of your website

Adapting your website to mobile devices

Identifying and resolving duplicate content problems

Importance of Technical SEO

Visibility on Google for a website can be significantly impacted by technical SEO. No matter how fantastic your content is, if search engines can’t access certain pages on your website, they won’t rank or display in search results.

Your website gets less traffic as a result, which costs your business potential sales.

Additionally, Google has stated that ranking variables include a website’s page speed and mobile friendliness.

Users may become impatient and quit your site if your pages load slowly. Such user actions may indicate that your website fails to deliver a satisfying user experience. Google may therefore not rank your website highly.

Steps In Which One Can Implement Technical SEO

Following are the steps that one can take for the implementation of Technical SEO for a website.

Crawling

Ensure search engines can successfully crawl your website. It is the first step in optimizing it for technical SEO.

Crawling plays a crucial role in the search engine’s operation. It occurs when search engines use links on pages they are already familiar with to discover new pages.

For instance, a user updates their blog archive page whenever they publish a new blog article.

Therefore, the most recent links to fresh blog entries will be visible the next time a search engine like Google scans our blog page.

And that’s one method Google learns about your fresh blog posts.

You must first make sure that search engines can access your pages if you want them to appear in search results.

Site Structure/Site Architecture

The method through which pages are linked on your website is called site architecture or site structure.

An efficient site structure arranges pages so that crawlers may find the information on your website fast and effortlessly.

Therefore, when planning the layout of your website, make sure that your homepage is easily accessible from every page.

When all the pages on any site are organized properly, it decreases the number of orphan pages. Pages that have no internal links going to them are known as orphan pages, and users and crawlers may find it challenging (or perhaps impossible) to locate them.

Increasing The Speed Of Your Website

As a result, even if your content is the greatest on the market, it won’t help your website rank higher than it would if it loaded more rapidly in search engine results pages.

One must never neglect this important component of Technical SEO.

Optimizing The Internal Links

An internal link is one that takes visitors to another page on the same website.

Even though they might not have the same effect on search engine results as external links, internal links are crucial for helping search engines comprehend the order of material on your website and building an SEO-friendly site architecture.

With the help of specific phrases in the anchor text, one can help readers understand the target keywords for the source page.

By connecting to a recently published blog post from a highly trafficked page on your website, you may also transfer link value to it.

Look For Broken Links And Get Them Corrected

Broken links can negatively impact your site’s user experience and are terrible for SEO.

You must never let your reader encounter a “404 Not Found” page. That only gives off a negative first impression, and the user might never visit your website again.

To ensure that the site do not have broken links issue, one must continuously monitor the website and fix them once they appear.

Ensure It Is Mobile Friendly

Google prioritizes indexing for mobile. It indicates index and rank information and looks at mobile versions of websites.

Do ensure that different mobile phones can get access to the website easily.

For those website owners who do not have Google Search Console, they can try the Google Mobile-Friendly Test tool available.

Using Hreflang For Content In Different Languages

Use hreflang tags if your website contains material available in many languages. The HTML attribute known as hreflang defines the language and location of a webpage.

It assists Google in delivering to users the language- and location-specific versions of your pages.

Optimizing The Core Web Vitals

Google measures user experience with speed metrics called Core Web Vitals.

These metrics consist of −

Largest Contentful Paint (LCP) measures the time it takes for a user to load a webpage’s largest component.

First Input Delay (FID) calculates the time a webpage needs to respond to a user’s initial input.

The Cumulative Layout Shift (CLS) metric tracks change in the arrangements of different website elements.

One requires to look for the following scores to achieve good Core Web Vitals.

The Largest Contentful Paint must be 2.5 seconds or less.

The First Input Delay must be 100 ms or less.

The Cumulative Layout Shift must be 0.1 or less.

One can look for Core Web Vitals in the Google Search Console.

Conclusion

By following these simple Technical SEO tips, one can ensure that they can drive more traffic and also rank better on the search engines. Regular monitoring of the Technical SEO is one sure-shot way of keeping the site’s health good and fixing problems at the earliest.

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How To Implement My Own Uri Scheme On Android?

Introduction

When we have to connect our android application to other applications or websites we can use URI (Uniform Resource Identifier) to connect. In this article we will take a look on How we can create a URI scheme for our android application.

Implementation

We will be creating a simple application in which we will be displaying two text views. First text view we will be using to display the heading of our application. We will be using a second text view for displaying the data to be passed through our URL.

Step 1 : Creating a new project in Android Studio

Inside this screen we have to simply specify the project name. Then the package name will be generated automatically.

Note − Make sure to select the Language as Java.

Once our project has been created we will get to see 2 files which are open i.e activity_main.xml and chúng tôi file.

Step 2 : Working with activity_main.xml

android:layout_width=”match_parent” android:layout_height=”match_parent” <TextView android:id=”@+id/idTVHeading” android:layout_width=”match_parent” android:layout_height=”wrap_content” android:layout_centerInParent=”true” android:layout_marginStart=”20dp” android:layout_marginTop=”20dp” android:layout_marginEnd=”20dp” android:layout_marginBottom=”20dp” android:padding=”4dp” android:text=”Custom URL Scheme in Android” android:textAlignment=”center” android:textColor=”@color/black” android:textSize=”20sp” <TextView android:id=”@+id/idTVMessage” android:layout_width=”match_parent” android:layout_height=”wrap_content” android:layout_below=”@id/idTVHeading” android:layout_margin=”10dp” android:padding=”4dp” android:text=”Message will appear here” android:textAlignment=”center” android:textColor=”@color/black” android:textSize=”18sp”

Explanation : In the above code we are creating a root layout as a Relative Layout. Inside this layout we are creating a text view which is used to display the heading of our application. After that we are creating one more text view in which we will be displaying the data which is being passed through our URI within our application.

Step 3 : Working with chúng tôi file

<application android:allowBackup=”true” android:dataExtractionRules=”@xml/data_extraction_rules” android:fullBackupContent=”@xml/backup_rules” android:icon=”@mipmap/ic_launcher” android:label=”@string/app_name” android:roundIcon=”@mipmap/ic_launcher_round” android:supportsRtl=”true” android:theme=”@style/Theme.JavaTestApplication” <activity android:name=”.MainActivity”

<!– on below line we are specifying the host name and <data

<data <meta-data android:name=”android.app.lib_name”

Explanation : In the above code for chúng tôi file, we are creating two custom intent filters for our application. These intent filters will be called when we hit the specific URI. This will help to open our application. In the data tag we are specifying the host and the scheme for our application. We can open our application by calling that host name from any browser which will open our application.

Step 4 : Working with chúng tôi file package com.example.java_test_application; import android.net.Uri; import android.os.Bundle; import android.widget.TextView; import androidx.annotation.NonNull; import androidx.appcompat.app.AppCompatActivity; import java.util.List; public class MainActivity extends AppCompatActivity { private TextView msgTV; @Override protected void onCreate(Bundle savedInstanceState) { super.onCreate(savedInstanceState); setContentView(R.layout.activity_main); msgTV = findViewById(R.id.idTVMessage); Uri uri = getIntent().getData(); if (uri != null) { String param = parameters.get(parameters.size() - 1); msgTV.setText(param); } } }

Explanation : In the above code firstly we are creating variables for our text view. Now we will get to see the onCreate method. This is the default method of every android application. This method is called when the application view is created. Inside this method we are setting the content view i.e the layout file named activity_main.xml to set the UI from that file. Inside the onCreate method we are initializing the text view variable with the id which we have given in our activity_main.xml file. After that we are creating a variable for URI and then initializing it by passing data through the intent. If the uri is not null, then in that case we are parsing the data from the URL which is being passed and setting that data to our text view.

Note − Make sure you are connected to your real device or emulator.

Output Conclusion

In the above article we have taken a look on How to implement my own custom URI scheme for an Android application.

How Canhelp Or Hinder Your Seo?

A simple explanation of the chúng tôi file for marketers

The chúng tôi file, also known as the Robots Exclusions Protocol, is an essential part of your website. It provides instructions to the search engine robots that crawl your site. Get it wrong, and you could damage or even destroy your search engine visibility.

In this tutorial on chúng tôi I’ll explain the what, why and how of chúng tôi for non SEO specialists so you can ask the right questions or have the right discussions about it with your specialists.

What is robots.txt?

Any webmaster worth their salt will know how important the chúng tôi file is. Essentially a list of instructions for search engine robots (or web crawlers), it indicates any areas of your website you do not wish to crawled (and potentially indexed) by search engines. Getting it wrong could lead to your website disappearing from the search results entirely, or indeed never appearing at all!.

How does chúng tôi work?

When crawling your site, the search engine robots first port of call is to search for your chúng tôi file. This will tell it where it is allowed to crawl (visit) and index (save) on the search engine results.

To check that you have a chúng tôi file in place, simply navigate to your website and add chúng tôi at the end of your domain:

The web crawler will then take on board the instructions within your chúng tôi file and omit any pages you have asked be omitted from its crawl.

When is a chúng tôi file useful?

Robots.txt files are useful in the following circumstances:

If you want search engines to ignore any duplicate pages on your website

If you don’t want search engines to index your internal search results pages

If you don’t want search engines to index certain areas of your website or a whole website

If you don’t want search engines to index certain files on your website (images, PDFs, etc.)

If you want to tell search engines where your sitemap is located

There are several reasons why a chúng tôi file would be a beneficial addition to your website, including:

Duplicate content

You may have duplicate content on your website. This is not uncommon, and can be driven by elements such as dynamic URLs, where the same content is served by various URLs depending on how the user came to it.

Though not uncommon, duplicate content is frowned upon by the search engines, and should be avoided or negated wherever possible. The chúng tôi file enables you to do this by instructing web crawlers not to crawl duplicate versions.

In these situations, it also makes sense to employ canonical tagging.

Internal search results

If you have an internal search function on your website, you may choose to omit your internal search results pages from the search engines.

This is because the search results pages on your site are unlikely to deliver value to anyone beyond the searcher that produces them, and it is better to keep your Google search results listings full of high quality content that serves a purpose to anyone that finds it.

Ignoring password protected areas, files, or intranets

You can instruct web crawlers to ignore certain areas or files on your website such as employee intranets.

You may have legal reasons for doing this, perhaps data protection of employee information, or it could be that these areas just aren’t relevant to external searchers so you don’t want them appearing in the search results.

XML Sitemap Location

Another tool used by the search engine robots when crawling your site is your XML sitemap. This is a plain text version of your sitemap which lists the locations of all of the pages of your site.

Your chúng tôi file should list the location of the XML sitemap, thus making for more efficient crawling by the search engine robots.

Any instruction you add to the chúng tôi file to omit pages from indexing will override the XML sitemap which still shows those pages.

Creating a chúng tôi file

If you don’t already have a chúng tôi file set up, you should do so as a matter of urgency. It’s an essential part of your website. You can ask your web developer to set this up for you or, if you have the relevant know how yourself, follow these instructions:

Create a new text file and save it as the name “ - you can use the Notepad program on Windows PCs or TextEdit for Macs and then “Save As” a text-delimited file.

Upload it to the root directory of your website – this is usually a root level folder called “htdocs” or “www” which makes it appear directly after your domain name.

If you use subdomains, you’ll need to create a chúng tôi file for each subdomain.

Robots.txt file common instructions

Your chúng tôi file will depend on the requirements you have for it.

There is therefore no set ‘ideal’ chúng tôi file, but there are some common instructions that might be pertinent to you and that you could therefore include in your file. These are explained further below.

Setting the User Agent

Your chúng tôi file will need to start with the ‘User-agent:’ command. This is used to give instructions to a specific search engine crawler or to all, such as User-agent: Googlebot. Googlebot is Google’s web crawler and this command simply means “Google: follow the below instructions”.

If you want to issue an instruction to all crawlers simply use User-agent:*

You can find a full list of search engine crawlers  if you want to issue instructions to particular one to replace the * symbol in the User-agent: command.

Excluding Pages from being indexed

After your User-agent command, you can use and Allow: and Disallow: instructions to tell web crawlers which pages or folders not to index.

For example, to allow everything on your website to be crawled (by all web crawlers) but exclude certain pages (such as a terms and conditions page and an employee admin login page on your website), you would state in your chúng tôi file:

In addition, if you don’t want certain file types on your website to be crawled such as PDF instruction manuals or application forms you can use Disallow:/*pdf$

Sitemap Location

As discussed earlier, telling web crawlers where your XML sitemap is located is good SEO practice for your website. You can instruct this on your chúng tôi file with:

This set of commands will allow everything on your website to be crawled by all search engine crawlers.

Common mistakes in chúng tôi files

It’s very important that you fully understand the instructions which are used in a chúng tôi file. Get it wrong, and you could damage or destroy your search visibility.

For example, if you use the following commands on your chúng tôi file, you are instructing ALL web crawlers to ignore the ENTIRE domain.

It is also worth bearing in mind that the chúng tôi file is not meant to deal with security on your website. If you have areas of your site which need to be secured, you cannot rely on your chúng tôi file to keep them hidden. In fact, adding their location to your chúng tôi file would be inherently insecure. Instead, you need to ensure all areas of the website that need to be secured are done so using password protection.

Remember, the chúng tôi file is a guide and it is not guaranteed that these instructions will always be followed by all web crawlers.

Examples To Implement Linux Container

Introduction of Linux Container

In the Linux operating system, the Linux container is known as the LCX. The LCX is a part of virtualization but it is different than the KVM, VMware, Citrix Hypervisor, etc. In the traditional virtualization tools, we need a huge amount of resources (RAM, CPU, Storage, etc) to run the virtual instances on top of vitalization tools. But the container is lightly weighted as compared to normal virtualization instances. The major difference between the virtualization instances and the container is kernel sharing. The objective of the Linux container is to distro and vendor-neutral atmosphere for the development of LCX technologies.

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Syntax:

lxc-create -n [ containername ] -t [ Default/Own Container Template ]

lxc-create: We can use the “lxc-create” keyword in the syntax or command. It will take differentarguments like“-n”, “-t” chúng tôi per the provided arguments, it will create the new Linux container on top of Linux kernel.

OPTION: We can provide the different flags as options that arecompatible with the “lxc-create” command.

container name: while creating the Linux container, we need to specify the name of the container.

Default/Own Container Template: When we have installed the Linux container packages, we will get default templets. We can use the same or we can create our own templates.

How Linux Container Works?

When we are deploying the multiple critical applications on the single-handed server, we need to take care multiple things like version, library information, compatibility, availability of the application, etc. for sufficing the need; if we will create the multiple virtual instances then there will be a huge cost. The cost will involve in RAM, processing power (CPU), storage space, input and output operation, time, etc. It will be overhead to maintain the multiple instances of the virtualized instances.

The Linux container is an open source project anyone can contribute in it. Currently, there are four live projects in it like LXC, LXD, LXCFS, distrobuilder.

LXC: The Linux LXC is well-known to set up the tools, custom templates, language and library bindings. It is a very lightweight, very flexible, pretty low level. It will consider all the container environment and feature. It will be supported by the Linux kernel. With the help of LTS releases, the Linux LXC production environment is ready. The security and bug fix updates will fix in the coming 5 years.

LXD: The Linux LXD is the new experience of LXC environment. It is providing a completely fresh and intuitive user experience in a single window (command-line tool). It will help to manage the containers. With the help of the REST API, we can manage the container over the network. It will also help or works on large scale environments like OpenStack, opennybulla, etc.

LXCFS: The LXCFS is offering the filesystem functionality. It is offering two main things:

Files of CPU information, memory information, status and uptime.

With the help of cgroupfs compatible tree, it is allowing the unprivileged writes.

The LXCFS designs for the workaround of shortcomings of procfs, sysfs and cgroupfs by exporting files.

Distrobuilder: The distrobuilder is an image building tool for LXC/LXD:

Help in the complex image definition (simple YAML document).

It supports multiple output formats like chroot, LXD, LXC, etc.

It will support a lot of architectures and distributions.

Basically the distrobuilder was created to replace the old shell scripts. It is usefulfor an LXC for image creation.

Examples

Following are the examples are given below:

1. List the LXC Templets

When we have installed the LXC environment, we will get the list of templets available in the environment. We can use the same default templets for creating the custom Linux containers.

Command:

ll /usr/share/lxc/templates/

Explanation: We are listing the default templates comes with the LXC package.

Output:

2. Check the LCX Service Status

Command:

lxc-checkconfig

Explanation: We can list out all the LXC services and check the status of it.

Output:

3. Create the New Linux Container

In the LXC environment, we can create the new Linux container. We need to use the “lxc-create” keyword while creating the new Linux container.

Command:

lxc-create -n hdp5_centos -t /usr/share/lxc/templates/lxc-centos

Explanation: As per the above command, we are creating the new LXC container (hdp5_centos) of CentOS flavour.

Output:

4. Start the Linux Container

Command:

lxc-start -n hdp5_centos -d

Explanation: As per the above LXC command, we are starting the “hdp5_centos” container in the background.

Output:

5. Container Information

In LCX, we can get the Linux container information.

Command:

lxc-info --name hdp5_centos

Explanation: We can be listing all the detail information of the “hdp5_centos” container.

Output:

Conclusion

We have seen the uncut concept of “Linux Container” with the proper example, explanation, and command with different outputs. The Linux Container is lightweight. It is using the working operating system kernel.

Recommended Articles

We hope that this EDUCBA information on “Linux Container” was beneficial to you. You can view EDUCBA’s recommended articles for more information.

Why Your Seo Keyword Research Needs To Evolve & Focus On Topics

For most of us, one of the first things we do when optimizing a site is to perform keyword research.

Millions of pixels and column inches have been spent outlining various different keyword strategies.

SEO professionals spend millions of dollars each year to track keyword rankings, much to Google’s chagrin.

The Evolving Search Query

The real estate in organic search is shrinking.

There have been countless articles written around this phenomenon, but all you have to do to see this for yourself is to Google a few high-volume terms.

I urge you to go to Google and type in any competitive term.

Most likely, you won’t see any organic results above the fold of the SERP page.

I don’t believe that Google and the other major search engines are going to stop providing this type of traffic – but the way we will need to capture this traffic is changing very quickly.

This is partially because Google wants to keep the traffic for itself, and partially because search queries are continually evolving and becoming more sophisticated.

Increasingly, people are using more sophisticated queries to find out what they want.

Back in 2012, Google said that 16%-20% of the searches that occur every day have never been searched before.

I suspect that number is even higher today.

And people are searching more.

The number of searches on Google grows roughly 10% every year.

So let’s recap thus far.

People aren’t searching the same way they did in the past – searches are more complex.

There are more searches occurring every year.

The answer is complicated, but it starts with reducing our focus on optimizing for keywords and moving to focus on topics.

What Are Topics?

Topics are just what they sound like – the aggregate content relating to the material around a specific subject.

Topics do not encapsulate an entire search journey as keywords do.

When we think of keywords, typically we are focusing on individual searches.

The perceived path is brief.

Most search marketers know that the above scenario is rarely how any conversion is achieved.

For years, we’ve been mapping the paths of users, trying to understand the path they are taking and keywords they are searching.

The holy grail is an attribution model that strings a user’s entire behavior pattern together, complete with keyword data.

Oh, and this “holy grail” attribution must have the ability to aggregate all of this data together and provide meaningful, actionable insights.

We aren’t there yet, and we may never be.

Why Focus on Topics?

As we’ve discussed, the customer journey that includes search has changed.

Consumers are looking for more information.

Google is trying to keep those folks within its own walled garden.

But if your company appears in most informational queries around a specific topic, you gain a perceived authority in the consumer’s mind – even if that information is wedged in a Google Knowledge Box.

Every product and service is different.

But if your customers are either looking for information about your niche – or if they are looking for the best product or service (you vs. your competitors), focusing SEO efforts around topics is a great way to break through the clutter.

How Do You Target Topics?

You won’t be able to dominate any topic with merely your own website.

Google’s made it pretty clear that they don’t want a bunch of results from the same website on any individual query – also known as domain diversity.

Sure, you can have a presence on multiple related queries with your own site – but that probably won’t be enough in most cases.

This is where you need to put your public relations (or link building) hat on and find the informational sites that are dominating the topics (in most verticals they are there, I promise).

You need to get mentions of your products and services on these “influencer” websites.

If you’ve been doing SEO for very long, you can come up with a number of ways to insert yourself into a topic simply by analyzing the SERPs around that topic and figuring out how to get there – as many times as possible.

I’m Not Saying Keywords Aren’t Important

Keywords are important.

Rankings are important.

Recently I was reminded how important top tier keywords are.

We have a client that has two websites for various reasons that aren’t important for this illustration.

One site is new, the other is a legacy site.

The websites compete for terms. One of the sites is older and ranks for several “money” terms – in other words, the top terms in the vertical.

This is directly related to the fact that the older site is ranking for specific keywords that convert very well for its vertical.

We’re still in early days, and eventually, we’ll get the new site to rank for those key terms – we definitely haven’t given up on a keyword focus.

But I know that eventually if we can dominate the overall topic like I think we can, we’ll have traffic and lead diversity that is greater than the sum of its parts.

In other words, if we can win on both target keywords and target topics, we’ll have the best of both worlds and won’t need to worry so much when Google makes an algorithm change that blows our keyword rankings out of the water.

In Conclusion

Work on diversifying your focus with more emphasis on topics over keywords.

You’ll find, as I have, when you broaden your focus to the topic, you create better content.

You actually end up ranking well for the keywords as well, and the results last longer.

Google wants expertise, authority, and trust from websites.

If you can dominate a topic, you’ll create all three of those attributes in spades.

More Resources:

Image Credits

Featured Image: Created by author, August 2023

C++ Program To Implement The Solovay

Solovay-Strassen Primality Test is used to test a number whether it is a composite or possibly prime number.

Algorithms Begin    Declare a function modulo to the long datatype to perform binary calculation.       Declare m_base, m_exp, m_mod of long datatype and pass them as a parameter.       Declare two variables a, b of long datatype.          Initialize a = 1, b = m_base.          if (m_exp % 2 == 1) then             a = (a * b) % m_mod.          b = (b * b) % m_mod.          m_exp = m_exp / 2.       Return a % m_mod. End Begin    Declare a function Jecobian of the int datatype to calculate Jacobian symbol of a given number.    Declare CJ_a, CJ_n of the long datatype and pass them as a parameter.    if (!CJ_a) then       return 0.    Declare answer of the integer datatype.       Initialize answer = 1.    if (CJ_a < 0) then       CJ_a = -CJ_a.       if (CJ_n % 4 == 3) then          answer = -answer.    if (CJ_a == 1) then       return answer.    while (CJ_a) do       if (CJ_a < 0) then          CJ_a = -CJ_a.          if (CJ_n % 4 == 3) then          answer = -answer.    while (CJ_a % 2 == 0) do       CJ_a = CJ_a / 2;          answer = -answer.    swap(CJ_a, CJ_n)    if (CJ_a % 4 == 3 && CJ_n % 4 == 3) then       answer = -answer.          CJ_a = CJ_a % CJ_n;       CJ_a = CJ_a - CJ_n.    if (CJ_n == 1) then       return answer. End Begin    Declare a function Solovoystrassen to the Boolean datatype to perform the Solovay-Strassen Primality Test.       Declare SS_p to the long datatype and pass as a parameter.       Declare itr to the integer datatype and pass them as a parameter.       if (SS_p < 2) then          return false.       if (SS_p != 2 && SS_p % 2 == 0) then          return false.       for (int i = 0; i < itr; i++)          long a = rand() % (SS_p - 1) + 1;          long jacob = (SS_p + Jacobian(a, SS_p)) % SS_p;          long mod = modulo(a, (SS_p - 1) / 2, SS_p);          return false       return true. End Begin    Declare iter of the integer datatype.       Initialize iter = 50.    Declare num1, num2 of the long datatype.    Print “Enter the first number:”    Input the value of num1.    if (Solovoystrassen(num1, iter)) then       print the value of num1 and ”is a prime number”.    Else       print the value of num1 and ”is a composite number”.    Print “Enter another number:”       Input the value of num2.    if (Solovoystrassen(num2, iter)) then       print the value of num2 and ”is a prime number”.    Else       print the value of num2 and ”is a composite number”. using namespace std; long modulo(long m_base, long m_exp, long m_mod) function to perform binary calculation {    long a = 1;    long b = m_base;       if (m_exp % 2 == 1)          a = (a * b) % m_mod;       b = (b * b) % m_mod;       m_exp = m_exp / 2;    }    return a % m_mod; } int Jacobian(long CJ_a, long CJ_n) {    if (!CJ_a)       return 0;// (0/n) = 0    int answer = 1;    if (CJ_a < 0) {       CJ_a = -CJ_a;       if (CJ_n % 4 == 3)          answer = -answer;    }    if (CJ_a == 1)       return answer;    while (CJ_a)  {       if (CJ_a < 0) {          CJ_a = -CJ_a;          if (CJ_n % 4 == 3)             answer = -answer;       }       while (CJ_a % 2 == 0) {          CJ_a = CJ_a / 2;             answer = -answer;       }       swap(CJ_a, CJ_n);       if (CJ_a % 4 == 3 && CJ_n % 4 == 3)          answer = -answer;       CJ_a = CJ_a % CJ_n;             CJ_a = CJ_a - CJ_n;    }    if (CJ_n == 1)       return answer;    return 0; } bool Solovoystrassen(long SS_p, int itr) {    if (SS_p < 2)       return false;    if (SS_p != 2 && SS_p % 2 == 0)       return false;    for (int i = 0; i < itr; i++) {             long a = rand() % (SS_p - 1) + 1;       long jacob = (SS_p + Jacobian(a, SS_p)) % SS_p;       long mod = modulo(a, (SS_p - 1) / 2, SS_p);          return false;    }    return true; } int main() {    int iter = 50;    long num1;    long num2;    cout<< "Enter the first number: ";    cout<<endl;    if (Solovoystrassen(num1, iter))       cout<<num1<<" is a prime numbern"<<endl;    else       cout<<num1<<" is a composite numbern"<<endl;       cout<<"Enter another number: ";    cout<<endl;    if (Solovoystrassen(num2, iter))       cout<<num2<<" is a prime numbern"<<endl;    else       cout<<num2<<" is a composite numbern"<<endl;    return 0; } Output Enter the first number: 24 24 is a composite number Enter another number: 23 23 is a prime number

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