טוב, וריאציה של ריבוע קסם, רק במשושה של משושים. במשושה הגדול, המורכב מ- 19 משושונים , יש להציב את המספרים 1-19, כך שסכום כל טור וכל אלכסון (כמו אלה שפירקתי סביב המשושה הגדול) לא משנה אם הוא מורכב משלושה, ארבעה או חמישה משושונים, יהיה זהה, כלומר, אותו מספר, באלכסונים העולים (משמאל למטה לימין למעלה), באלכסונים היורדים(משמאל למעלה לימין למטה) ובטורים. בכל רצף של משושונים (שהצלעות שלהן נוגעות זו בזו) לכל כיוון, יהיה בדיוק אותו סכום. מה המספר שאנו מחפשים ? ואיך מסדרים את תשעה עשר המספרים בתוך הכוורת כך שיתקבל המספר האחד הזה בכל הטורים והאלכסונים ? דרושה תוכנית בפייתון, שתייצר מודל של החידה ותמצא את הפתרון. בין הפותרים נכונה תוגרל חלת דבש או כבוד של מלכת דבורים.

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If you're stuck with an error or your Prime Video just won’t work, don’t worry—help is within reach. You can contact Amazon Prime Video support phone number to speak to a professional who can walk you through any problem. Alternatively, you can visit their online resources for quick guidance via chat or self-help options. For comprehensive help and solutions, check out Amazon Prime Video support.
This blog will guide you through the most common Prime Video issues, how to contact support, what to expect, and how to resolve your streaming troubles quickly and efficiently.
Common Issues with Amazon Prime Video
Before we get into the support process, it’s helpful to understand what kinds of issues people frequently face. Here are some of the most common problems that may require support:
1. Prime Video Not Streaming
If you’re seeing a blank screen, buffering issues, or constant loading when trying to watch something, it’s likely a connection or compatibility issue.
2. Login and Password Problems
You might forget your login credentials or face two-factor authentication challenges when accessing your Amazon Prime account.
3. Billing and Payment Issues
Sometimes, payments may not go through, cards might get declined, or subscriptions might renew without warning.
4. Playback Errors and App Crashes
Playback errors like “Video unavailable” or the Prime Video app crashing repeatedly are common across devices.
5. Regional Restrictions and Content Access
Some content might not be available in your region or country, which can be confusing and frustrating.
How to Contact Amazon Prime Video Support
You have several ways to reach Amazon Prime Video support depending on your issue and preferred communication method:
Phone Support
If you need fast, personalized help, calling the Amazon Prime Video support phone number is the best option. You’ll get connected with a trained agent who can guide you through any issue, from streaming errors to billing inquiries.
Chat Support
For those who prefer not to speak on the phone, Amazon offers chat support available through their Help section. It’s quick, efficient, and often enough for most common issues.
Email Support
For non-urgent issues, you can send an email to Amazon’s support team. They usually reply within 24–48 hours, depending on the volume.
Help Center Articles
Amazon’s support website contains a large database of articles and FAQs covering almost every imaginable Prime Video problem. It’s a great place to start if your issue is straightforward.
What Information You’ll Need When Contacting Support
Before contacting support, it’s helpful to gather the following information to speed up the troubleshooting process:
Your Amazon account email and phone number
The exact issue you're facing (error messages, symptoms)
Device and app version details
Troubleshooting steps you’ve already tried
Payment or order number (for billing-related issues)
Having these details on hand ensures that the support team can help you more efficiently.
Device-Specific Issues and Fixes
Amazon Prime Video can run on a wide variety of devices, including smart TVs, Android phones, iPhones, gaming consoles, and web browsers. Each platform can present unique problems.
Smart TVs
Issues on Smart TVs usually involve outdated software, poor internet connection, or compatibility problems. Try restarting the device, clearing the cache, or updating the firmware.
Android and iOS Devices
App crashes, buffering, and login issues are the most common here. Reinstalling the app or updating the OS often resolves the problem.
Fire TV or Fire Stick
Since these are Amazon's own devices, they usually work seamlessly. However, when problems do arise, a factory reset or software update can often fix them.
Web Browser
If you're using Prime Video on a browser, make sure it's updated. Clearing cache and cookies can also resolve playback or login issues.
Troubleshooting Amazon Prime Video Problems Yourself
While contacting support is always an option, you might want to try some self-help steps first. Here’s how to resolve common issues:
1. Check Your Internet Connection
Amazon recommends a minimum speed of 1 MB/s for SD and 5 MB/s for HD content. A slow or unstable connection could be the cause of buffering or streaming failure.
2. Restart Your Device
Sometimes, the simplest fix is to restart your device—whether it's a TV, phone, or laptop. This can clear temporary glitches and restore functionality.
3. Update the App or Browser
Outdated software can lead to compatibility issues. Always ensure you're running the latest version of the Prime Video app or browser.
4. Clear Cache and Data
On mobile and smart TVs, clearing cache and stored data can solve many streaming or loading problems.
5. Disable VPN or Proxy
If you’re using a VPN or proxy, it might interfere with Prime Video’s regional restrictions. Disable it and try again.
Prime Video Error Codes and What They Mean
Amazon Prime Video has specific error codes that can help identify the issue. Here are a few common ones:
Error 1007: Network connection issue.
Error 5005: Login credentials problem.
Error 7031: Video playback failure.
Error 1060: Bandwidth too low for video playback.
If you see any of these, check the Help Center or contact support for detailed steps to fix them.
When to Contact Support Immediately
You should reach out to Amazon Prime Video support immediately if:
You're locked out of your account due to a security issue.
You’ve been double-billed or charged incorrectly.
Your app crashes every time you open it, and you’ve tried basic troubleshooting.
The issue involves a hardware device like Fire Stick or Echo Show.
Your account has been hacked or used without your permission.
Benefits of Calling Amazon Prime Video Support
Many people prefer to use the help articles or chatbots, but sometimes, a phone call can save you hours. Here’s why phone support can be more effective:
Faster Resolution: Talk to a real person who can escalate the issue if needed.
Step-by-Step Guidance: The representative can walk you through complex fixes.
Security Verification: It’s easier to verify identity and restore access on a phone call.
Personalized Help: Get help tailored to your exact issue and device.
Tips to Avoid Future Prime Video Issues
Here are some proactive steps you can take to avoid needing support in the future:
Keep your app updated to the latest version.
Check your payment methods regularly to ensure they’re valid.
Use strong passwords and enable 2FA to protect your account.
Avoid using VPNs if you're facing regional access problems.
Monitor your streaming devices for software and OS updates.
Prime Video and Customer Satisfaction
Amazon is known for its strong customer support, and Prime Video is no exception. The platform offers multiple contact points, fast responses, and comprehensive solutions. Whether you're a casual viewer or binge-watching all night, having quick access to support ensures that your entertainment experience remains uninterrupted.
Conclusion
Streaming entertainment has become a daily part of our lives, and when something goes wrong, it can be incredibly frustrating. Thankfully, Amazon has built a solid system for resolving issues through its Amazon Prime Video support network. Whether you choose to troubleshoot the issue yourself or reach out directly via the Amazon Prime Video support phone number, the solutions are readily available.
By understanding how to use the available resources, what common issues look like, and how to prevent future problems, you’ll be able to enjoy seamless streaming anytime. Don’t hesitate to reach out when something doesn’t feel right—after all, support exists to make sure you’re never left buffering in the dark.
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This blog is your one-stop guide to understanding how Netflix customer support works, when to contact them, and what kind of problems they can help solve. Whether you're trying to recover a hacked account, solve buffering issues, or manage your subscription, this article covers it all.
Why You Might Need Netflix Customer Support
Even though Netflix has designed its platform to be as user-friendly and intuitive as possible, issues can still arise. Here are some common scenarios where you might need to get in touch with customer service:
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Forgotten or compromised passwords
Streaming or playback issues
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Inability to access Netflix from specific devices
Parental controls not working as expected
Regional availability or content restriction questions
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Ways to Contact Netflix Customer Service
Netflix offers multiple ways for customers to reach out, including:
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The Netflix app offers a built-in live chat feature where you can speak to a customer service representative. This is one of the fastest ways to get help, especially for non-technical issues.
2. Help Center
Netflix’s Help Center is an extensive library of articles and FAQs that cover a wide range of topics. It’s perfect for users who prefer self-service and want to resolve minor issues on their own.
3. Call Support
For more urgent issues or technical problems, speaking to someone directly may be the best route. Netflix does offer phone-based customer service, and depending on your region, there are specific support numbers you can dial.
4. Social Media
While not officially promoted as a customer service channel, Netflix does respond to inquiries and feedback via its social media platforms such as Twitter and Facebook.
What to Expect When You Call Netflix Support
When you call Netflix support, you can expect to be greeted by an automated system that will try to identify your issue and route your call accordingly. To expedite the process, it’s helpful to have the following information ready:
Your Netflix login credentials (email and password)
The type of device you're using
A description of the issue
Any error codes you’ve encountered
Recent activity on your account (if reporting a hack or unauthorized use)
Netflix’s support representatives are generally polite, knowledgeable, and quick to act. Most issues can be resolved in a single call or chat session.
Common Issues Netflix Support Can Help With
1. Account Recovery and Security
If you’ve lost access to your account due to forgotten credentials or suspect that your account has been compromised, Netflix support can help you recover access or reset your credentials securely.
2. Streaming and Buffering Problems
One of the most common complaints is streaming-related issues such as excessive buffering, poor video quality, or error codes. Netflix support can help diagnose whether it’s a device issue, connectivity problem, or something else.
3. Billing Disputes and Subscription Changes
Sometimes users get billed incorrectly, or they may want to switch plans. Netflix’s support team can walk you through any billing disputes or changes to your subscription plan.
4. Device Compatibility
With Netflix available on everything from smart TVs and game consoles to smartphones and tablets, not all devices behave the same. Netflix support can guide you through setting up or troubleshooting any supported device.
How to Use Netflix Help Center Efficiently
The Netflix Help Center is your first line of defense before contacting support. Here's how to use it effectively:
Search bar: Use it to enter your query directly. Example: "How to reset password" or "Error code NW-2-5."
Categories: Topics are divided into areas like "Watching Netflix," "Managing Your Account," and "Troubleshooting."
Step-by-step guides: These are often provided in articles to help resolve common problems.
Many users find that browsing the Help Center answers their questions without ever needing to reach out.
Tips for Fast and Effective Support
Getting quick and effective help sometimes depends on how you approach the problem. Here are a few tips:
Be clear and concise: Clearly describe what’s wrong and what you’ve already tried.
Take screenshots: These can be helpful when explaining error messages.
Know your plan: Understand which Netflix plan you’re on, as this can affect the features and support you receive.
Use chat during non-peak hours: If using chat, early mornings or late nights are often less crowded.
Is There 24/7 Netflix Support?
Yes! Netflix offers 24/7 support via live chat and phone. This is a huge benefit for users in different time zones or those who experience issues outside regular business hours. Whether it's midnight or midday, you can expect a customer support agent to be available.
Language and Regional Support
Netflix is a global platform, and they understand the importance of offering support in various languages. Depending on your region, you can access help in local languages. Just make sure your region settings are correctly updated in your account profile.
Using the Netflix App to Get Support
The Netflix mobile and TV apps also have support options built-in. Go to:
More > HelpFrom here, you can either visit the Help Center or initiate a chat.
This is especially helpful if the issue is occurring on a device that you don’t have easy browser access on, such as a smart TV.
When to Escalate
Most problems can be resolved at the first level of support. However, if you’re facing repeated issues, or your problem isn’t being resolved satisfactorily, you can request the call/chat to be escalated to a supervisor. Be polite but firm when making such requests.
Netflix on Social Media: Is It Reliable for Help?
While Netflix’s Twitter account (@Netflixhelps) used to provide assistance, most of their current social channels are now more focused on content promotion. That said, you can still tag them or send a message for visibility—especially if you're facing a widespread outage or service issue.
Protecting Your Netflix Account
Here are a few ways to ensure your Netflix account stays safe and secure:
Use a strong, unique password
Don’t share your credentials with too many people
Monitor viewing history to spot unauthorized activity
Enable two-factor authentication via email (Netflix currently doesn’t support 2FA, but you can use email alerts for account changes)
If you notice any suspicious activity, contact Netflix support immediately to secure your account.
Final Thoughts
In today’s digital age, quality customer service is just as important as the service itself. Netflix recognizes this and offers a robust support system to help users enjoy uninterrupted streaming. Whether you’re having trouble logging in, facing streaming issues, or just need help managing your plan, reaching out to their support channels can provide a quick solution.
Take advantage of the 24/7 support, detailed help articles, and responsive chat features that Netflix offers. Always keep your account secure and don't hesitate to contact support when needed—whether through chat, call, or the Help Center.
For any serious problems or urgent issues, contacting the Netflix customer support phone directly can often result in faster resolutions than waiting for online responses.
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about solutions blog, I highly recommend checking out my latest blog post In today's tech-driven world, Apple iPhones are among the most trusted and premium smartphones globally. Whether it’s the seamless iOS experience or the advanced features Apple offers, millions of users rely on their devices for communication, work, entertainment, and more. That’s where apple iphone tech support becomes essential. One of the most alarming among them is the Apple Security Warning Scam. This scam tricks users into believing their device is infected or compromised, pressuring them to take hasty action. These scams often lead to users inadvertently giving up personal information or downloading malicious software.
In this comprehensive blog, we will walk you through common iPhone problems, how to get reliable support, how these scams work, and how to protect yourself against them.
Common Apple iPhone Issues Users Face
Apple’s iOS ecosystem is known for its reliability, but it's not immune to problems. Here are some of the most frequently reported issues by iPhone users:
1. iPhone Won’t Turn On
This issue can be due to a dead battery, faulty charger, or a more complex hardware fault. Sometimes a force restart or connecting the iPhone to iTunes can help in diagnosing the problem.
2. Touchscreen Not Responding
Users have reported unresponsive touchscreens, especially after updating iOS. This can sometimes be resolved by restarting the phone, cleaning the screen, or even resetting all settings.
3. iPhone Running Slow
Over time, your iPhone may feel slower. Causes can include limited storage space, background apps, outdated software, or too many cached files.
4. iPhone Battery Draining Quickly
Battery life issues are quite common, especially in older devices. Checking battery health under settings or switching to low power mode can help in conserving battery.
5. iPhone Overheating
Overheating usually occurs while charging or using power-intensive apps. It’s recommended to remove the phone case and avoid direct sunlight when this happens.
When to Seek Apple iPhone Tech Support
There are some issues that are better left to professionals. Here’s when you should consider reaching out to Apple iPhone tech support:
Device stuck in a boot loop
iPhone won’t charge even with a new cable
Software update failures
iCloud syncing problems
Face ID or Touch ID not working
Cracked screen or water damage
The official Apple Support team can assist you through live chat, calls, or in-person appointments at the Apple Store. If you are out of warranty, third-party services might be a cost-effective option. But always make sure the provider is reliable.
Apple Security Warning Scam: How It Works
These scams usually appear as sudden pop-up messages on Safari or Chrome browsers while you're browsing the internet. The message might say something like:
The popup may look exactly like an official Apple message, complete with the logo and an 800 number. But here’s the catch — Apple never sends security warnings in this way. These are phishing attempts meant to steal your information.
How These Scams Operate:
Fear Tactics: The scam triggers panic by claiming your iPhone is hacked or infected.
Urgent Action: You’re prompted to click a link or call a fake support number.
Fake Technician: On call, a scammer may pose as an Apple technician and ask for remote access.
Financial Exploitation: Once they have access, they might ask for a fee to “clean” your device or even steal your data.
Signs of a Scam: Don’t Fall For It!
To avoid falling for the Apple Security Warning Scam, be alert to the following red flags:
The URL is not from apple.com
Pop-ups that won’t let you exit the browser
Prompts asking you to call a number immediately
Requests for your Apple ID and password over the phone
Asking to install third-party software
Legitimate Apple messages are subtle and non-intrusive. They will never prompt you to call a number through pop-up messages or ask for remote access.
What to Do If You Encounter a Scam
If you see a pop-up claiming your iPhone is compromised, here’s what you should do:
Don’t Click Anything: Don’t tap on links or buttons in the message.
Force Close Safari or Browser: On iPhone, swipe up and close the browser app.
Clear Browser History and Website Data: Go to Settings > Safari > Clear History and Website Data.
Enable Pop-Up Blocker: In Safari settings, make sure 'Block Pop-ups' is turned on.
Run a Security Scan: If concerned, use trusted antivirus apps from the App Store.
Report the Scam to Apple: You can report phishing to Apple via reportphishing@apple.com.
How to Protect Yourself From Tech Support Scams
Here are some actionable tips to protect your device and personal data:
Never Share Your Apple ID Password: Especially not over unsolicited phone calls or messages.
Enable Two-Factor Authentication: Adds a layer of security to your Apple ID.
Update iOS Regularly: Patches bugs and improves system security.
Use a Strong Password: Avoid common or repeated passwords across accounts.
Avoid Unsecured Wi-Fi: Use VPNs when on public networks.
What Apple Says About These Scams
Apple acknowledges the presence of such scams and explicitly states:
You can always verify any alert by contacting Apple Support directly through the official website or Apple Support app.
Real-World Examples of Apple Security Scams
Here are a few scenarios users have reported:
1. Fake Tech Call After Pop-Up
A user browsing on Safari received a warning that his device was infected. He called the number provided and was asked to pay $99 for a cleaning service. It turned out to be fake.
2. Email Pretending to Be Apple
Another user received an email saying there was a login attempt on his Apple ID. The link in the email took him to a phishing website that stole his credentials.
3. Fake Support Apps
Some users reported being directed to download suspicious apps claiming to be Apple diagnostic tools, which turned out to be malware.
Tips for Safe Browsing on iPhone
To avoid landing on scam sites or receiving malicious pop-ups:
Use trusted search engines like Google or Bing.
Avoid clicking on suspicious ads.
Install ad blockers from the App Store.
Only download apps from the official App Store.
Be wary of public forums or blogs pushing dubious software.
Should You Use Third-Party Tech Support?
While Apple’s official support is always the most secure, third-party services can be helpful for out-of-warranty devices. Look for:
Certified Apple repair providers
Positive reviews and testimonials
Transparent pricing
No requests for sensitive personal info
Never trust unsolicited support calls or services that ask for money upfront without proper verification.
Final Thoughts: Stay Alert, Stay Safe
Apple iPhones are designed with top-notch security, but no system is completely immune to scams or technical glitches. Whether you’re dealing with a malfunctioning device or a suspicious popup, knowing where to turn is crucial.
Always reach out to trusted sources when seeking apple iphone tech support and stay vigilant against threats like the Apple Security Warning Scam. Your digital safety depends not only on the strength of Apple’s ecosystem but also on how informed and cautious you are as a user.
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about solutions blog, I highly recommend checking out my latest blog post Facebook is more than just a social media platform—it has become a digital necessity. Whether it’s for personal interaction, running a business page, promoting ads, managing groups, or marketplace transactions, Facebook offers an array of services.
If you’re looking for facebook customer support phone or trying to reach the facebook customer support number for immediate assistance, you’re not alone. Many users face technical difficulties every day and seek reliable help to resolve their concerns. Facebook does provide several self-help options, but getting personalized assistance is a whole different challenge. Let’s break down all the ways you can troubleshoot Facebook issues and get connected with the right support team.
Why You Might Need Facebook Customer Support
With billions of users on Facebook, it’s no surprise that a huge number of issues can occur, ranging from minor bugs to critical security breaches. Here are some common problems that may require customer support:
Can’t log in to your Facebook account
Password reset problems
Suspended or locked accounts
Two-factor authentication issues
Business or ad account problems
Page or group administration errors
Marketplace disputes
Reporting fake profiles or scams
While Facebook has an extensive help center, not all users find it helpful or easy to navigate. Some cases require speaking directly to a representative or reaching out for one-on-one guidance.
Exploring Facebook Help Center
The first place you should visit when dealing with Facebook issues is the Facebook Help Center. It’s a resource hub that covers topics like account management, privacy settings, business accounts, security, and more.
To access the Help Center:
Go to your Facebook profile.
Click the drop-down arrow on the top-right corner.
Select “Help & Support” > “Help Center”.
Here, you can search for topics related to your issue, find articles, and even get walkthroughs on common tasks like changing passwords, recovering accounts, or reporting issues.
Using the Report a Problem Feature
Facebook also includes a “Report a Problem” feature to address technical bugs. You can use this to submit issues directly to Facebook.
Here’s how:
Click the menu icon (three horizontal lines on mobile or the downward arrow on desktop).
Scroll to “Help & Support”.
Tap or click “Report a Problem”.
Choose the feature that’s not working and describe your issue.
While this option allows Facebook to collect data about user issues, responses aren’t always immediate or personalized. It’s more of a feedback system than a direct support channel.
What About Live Chat or Email Support?
Many users wonder whether Facebook has a live chat or email system. While Facebook has been slowly rolling out live chat support for business account holders, it is not available to every user. Personal account users generally don’t have access to a real-time support agent unless they run ads or have a verified business profile.
There is also no official public email for Facebook support. Users are strongly discouraged from trusting third-party websites that claim to offer direct Facebook email contacts unless they’re verified support portals.
Community Support and Forums
Facebook also hosts Community Forums where users can ask questions and receive answers from other members. While it’s not official support, it can be helpful in solving simple or common problems.
These forums are moderated and searchable, which makes it easier to find threads related to your concern. However, don’t expect fast responses for urgent or personal issues like account hacking.
Facebook Business Help: Exclusive Support for Advertisers
If you manage a business account or run ads on Facebook, you are more likely to get direct customer support. Business users often get access to:
Live Chat with a Facebook support representative
Dedicated support inbox
Faster response times
Personalized ad account help
To check if you qualify:
Go to Facebook Business Help.
Sign in with your Business account.
Check if the “Contact Support” or “Live Chat” button is available.
Note: The availability of these features may vary depending on region, ad spending history, and account type.
Dealing with Hacked or Compromised Accounts
This is one of the most stressful experiences for users. If you suspect someone has gained unauthorized access to your account, take action immediately.
Steps to recover a hacked Facebook account:
Go to facebook.com/hacked.
Follow the prompts to secure your account.
Update your password and review login activity.
Enable two-factor authentication.
Facebook may temporarily lock or disable your account for suspicious activity. If this happens, follow the instructions provided on the screen or use the Help Center to file an appeal.
Troubleshooting Facebook Login Problems
Login issues can be caused by several factors:
Wrong password
Account disabled
Browser cookies/cache issues
Hacked account
Here’s what to try:
Clear browser cookies and cache.
Use the “Forgot Password” option.
Ensure your email and phone number are correct.
Try a different browser or device.
Use Facebook Lite if you’re on a slow connection.
What If My Account Is Disabled?
Facebook disables accounts that violate its Community Standards or Terms of Service. This may include:
Posting harmful or offensive content
Using fake names
Repeatedly violating guidelines
To appeal a disabled account:
Visit the Facebook Help Center.
Go to the appeal form.
Provide required information (ID, email, reason for appeal).
If the appeal is accepted, you’ll regain access. If not, your account may remain permanently disabled.
Facebook Ads Support: Billing, Review, and Approvals
Running Facebook ads can be tricky—especially when your ad gets disapproved or you run into billing problems.
Common ad-related issues:
Ads not delivering
Disapproved ads
Unexpected charges
Account spending limit errors
To fix these:
Review your ad against Facebook’s Ad Policies.
Check your payment method for validity.
Adjust your ad targeting and audience.
For business users, contacting ad support through Business Manager often yields better, faster solutions.
Privacy and Security Concerns
With growing concerns about data privacy, Facebook allows users to customize security and data sharing settings. You can manage:
Who sees your content
How people find your profile
What apps have access to your account
Go to: Settings & Privacy > Privacy CheckupThis feature guides you through privacy options and helps you secure your account.
Also, don’t forget to enable Two-Factor Authentication for added protection against unauthorized access.
Tips for Getting a Faster Response
While Facebook doesn’t have a publicly listed customer support phone line for all users, you can still improve your chances of getting help by:
Being detailed in your support request
Including screenshots
Using correct issue categories
Following up regularly
Checking your Support Inbox in Facebook
Avoid posting sensitive information (like passwords) publicly or in community forums.
Final Thoughts
Facebook is one of the largest social platforms in the world, and with that scale comes the challenge of supporting every user efficiently. Although there isn’t a universal hotline or direct customer service number for all users, there are still multiple ways to get assistance—from using the Help Center, reporting issues, contacting business support, and accessing forums.
If you're trying to connect with the facebook customer support phone or reach out via the facebook customer support number, use trusted resources only. Direct solutions for personal accounts may still take time, but patience and persistence often pay off. For business and ad-related concerns, leveraging Business Manager tools and support channels provides faster resolutions.
Whether you're dealing with account recovery, ad issues, or general inquiries, knowing where to go and how to get help can make all the difference.
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ראשית עשיתי חישוב מתמטי פשוט כדי לדעת מה צריך להיות הסכום של כל שורה וכל אלכסון. היות שיש לנו חמש שורות בלוח, כל שורה צריכה להכיל את אותו המספר. סכום כל המספרים מ-1 עד 19 הוא 190. לחלק ב- חמש שורות (או חמישה אלכסונים) יוצא 38 לכל שורה או אלכסון.
בהתחלה לקחתי את הלוח והפכנו אותו לרשימה של 19 איברים, שבכל אחד מהם מוצב המספר 0 בהתחלה. המספר הראשון ברשימה מצד שמאל הוא התא השמאלי העליון בלוח. והמספר האחרון ברשימה הוא התא הימני התחתון בלוח כמו שמתואר בצילום הבא -
את הפתרון מצאתי בעזרת שיטת הbacktracking המפורסמת שבעצם בודקת את כל האפשרויות המתאימות לתנאי השאלה. לכל איבר ברשימה התוכנה בודקת את האפשרויות לפי תנאי השאלה וכל פעם היא חוזרת שלבים במקרה שאין אפשרויות המתאימות לתנאים. התוכנית לא אלגנטית במיוחד ורצה במחשב שלי ב- 110 שניות(שזה יחסית הרבה). אבל היא עובדת ומוציאה 12 פתרונות שהם בעצם אותו הפתרון רק מסובב ומראה.
הקוד:
board = [0 for i in range(19)] possibilities = [i for i in range(1,20)] for item0 in possibilities[::]: board[0] = item0 p1 = possibilities[::] for i in range(1): p1.remove(board[i]) rp1 = [] for item in p1: if board[0]+item < 38 and board[0]+item > 18: rp1.append(item) for item1 in rp1: board[1] = item1 p2 = possibilities[::] for i in range(2): p2.remove(board[i]) rp2 = [] for item in p2: if board[0]+board[1]+item == 38: rp2.append(item) for item2 in rp2: board[2] = item2 p3 = possibilities[::] for i in range(3): p3.remove(board[i]) rp3 = [] for item in p3: if board[0]+item < 38 and board[0]+item > 18: rp3.append(item) for item3 in rp3: board[3] = item3 p4 = possibilities[::] for i in range(4): p4.remove(board[i]) rp4 = [] for item in p4: if board[0]+item < 38 and board[1]+item < 38 and board[0]+item < 38: rp4.append(item) for item4 in rp4: board[4] = item4 p5 = possibilities[::] for i in range(5): p5.remove(board[i]) rp5 = [] for item in p5: if board[1]+item < 38 and board[2]+item < 38 and board[3]+board[4]+item < 38 and board[3]+board[4]+item > 18: rp5.append(item) for item5 in rp5: board[5] = item5 p6 = possibilities[::] for i in range(6): p6.remove(board[i]) rp6 = [] for item in p6: if board[3]+board[4]+board[5]+item == 38 and board[2]+item < 38 and board[2]+item > 18: rp6.append(item) for item6 in rp6: board[6] = item6 p7 = possibilities[::] for i in range(7): p7.remove(board[i]) rp7 = [] for item in p7: if board[0]+board[3]+item == 38: rp7.append(item) for item7 in rp7: board[7] = item7 p8 = possibilities[::] for i in range(8): p8.remove(board[i]) rp8 = [] for item in p8: if board[3]+item < 38 and board[7]+item < 38 and board[1]+board[4]+item < 38 and board[1]+board[4]+item > 18: rp8.append(item) for item8 in rp8: board[8] = item8 p9 = possibilities[::] for i in range(9): p9.remove(board[i]) rp9 = [] for item in p9: if board[0]+board[4]+item < 38 and board[2]+board[5]+item < 38 and board[7]+board[8]+item < 38: rp9.append(item) for item9 in rp9: board[9] = item9 p10 = possibilities[::] for i in range(10): p10.remove(board[i]) rp10 = [] for item in p10: if board[7]+board[8]+board[9]+item < 38 and board[7]+board[8]+board[9]+item > 18 and board[1]+board[5]+item < 38 and board[1]+board[5]+item > 18 and board[6]+item < 38: rp10.append(item) for item10 in rp10: board[10] = item10 p11 = possibilities[::] for i in range(11): p11.remove(board[i]) rp11 = [] for item in p11: if board[2]+board[6]+item == 38 and board[7]+board[8]+board[9]+board[10]+item == 38: rp11.append(item) for item11 in rp11: board[11] = item11 p12 = possibilities[::] for i in range(12): p12.remove(board[i]) rp12 = [] for item in p12: if board[7]+item < 38 and board[7]+item > 18 and board[1]+board[4]+board[8]+item == 38: rp12.append(item) for item12 in rp12: board[12] = item12 p13 = possibilities[::] for i in range(13): p13.remove(board[i]) rp13 = [] for item in p13: if board[12]+item < 38 and board[2]+board[5]+board[9]+item < 38 and board[2]+board[5]+board[9]+item > 18 and board[3]+board[8]+item < 38 and board[3]+board[8]+item > 18: rp13.append(item) for item13 in rp13: board[13] = item13 p14 = possibilities[::] for i in range(14): p14.remove(board[i]) rp14 = [] for item in p14: if board[0]+board[4]+board[9]+item < 38 and board[0]+board[4]+board[9]+item > 18 and board[6]+board[10]+item < 38 and board[6]+board[10]+item > 18 and board[12]+board[13]+item < 38 and board[12]+board[13]+item > 18: rp14.append(item) for item14 in rp14: board[14] = item14 p15 = possibilities[::] for i in range(15): p15.remove(board[i]) rp15 = [] for item in p15: if board[1]+board[5]+board[10]+item == 38 and board[12]+board[13]+board[14]+item == 38 and board[11]+item < 38 and board[11]+item > 18: rp15.append(item) for item15 in rp15: board[15] = item15 p16 = possibilities[::] for i in range(16): p16.remove(board[i]) rp16 = [] for item in p16: if board[7]+board[12]+item == 38 and board[2]+board[5]+board[9]+board[13]+item == 38: rp16.append(item) for item16 in rp16: board[16] = item16 p17 = possibilities[::] for i in range(17): p17.remove(board[i]) rp17 = [] for item in p17: if board[3]+board[8]+board[13]+item == 38 and board[6]+board[10]+board[14]+item == 38 and board[16]+item < 38 and board[16]+item > 18: rp17.append(item) for item17 in p17: board[17] = item17 p18 = possibilities[::] for i in range(18): p18.remove(board[i]) rp18 = [] for item in p18: if board[16]+board[17]+item == 38 and board[11]+board[15]+item == 38 and board[0]+board[4]+board[9]+board[14]+item == 38: rp18.append(item) for item18 in rp18: board[18] = item18 print(board)
>>>
[3, 17, 18, 19, 7, 1, 11, 16, 2, 5, 6, 9, 12, 4, 8, 14, 10, 13, 15]
[3, 19, 16, 17, 7, 2, 12, 18, 1, 5, 4, 10, 11, 6, 8, 13, 9, 14, 15]
[9, 11, 18, 14, 6, 1, 17, 15, 8, 5, 7, 3, 13, 4, 2, 19, 10, 12, 16]
[9, 14, 15, 11, 6, 8, 13, 18, 1, 5, 4, 10, 17, 7, 2, 12, 3, 19, 16]
[10, 12, 16, 13, 4, 2, 19, 15, 8, 5, 7, 3, 14, 6, 1, 17, 9, 11, 18]
[10, 13, 15, 12, 4, 8, 14, 16, 2, 5, 6, 9, 19, 7, 1, 11, 3, 17, 18]
[15, 13, 10, 14, 8, 4, 12, 9, 6, 5, 2, 16, 11, 1, 7, 19, 18, 17, 3]
[15, 14, 9, 13, 8, 6, 11, 10, 4, 5, 1, 18, 12, 2, 7, 17, 16, 19, 3]
[16, 12, 10, 19, 2, 4, 13, 3, 7, 5, 8, 15, 17, 1, 6, 14, 18, 11, 9]
[16, 19, 3, 12, 2, 7, 17, 10, 4, 5, 1, 18, 13, 8, 6, 11, 15, 14, 9]
[18, 11, 9, 17, 1, 6, 14, 3, 7, 5, 8, 15, 19, 2, 4, 13, 16, 12, 10]
[18, 17, 3, 11, 1, 7, 19, 9, 6, 5, 2, 16, 14, 8, 4, 12, 15, 13, 10]