BIG LIST OF WEBSITES

List of Top Websites on Fast

Top 250 Websites on FAST

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Free Porn Videos & Sex Movies - Porno, XXX, Porn Tube | Pornhub .Pornhub is the world’s leading free porn site. Choose from millions of hardcore videos that stream quickly and in high quality, including amazing VR Porn. The largest adult site on the Internet just keeps getting better. We have more pornstars and real amateurs than anyone else. It’s fast, it’s free, it’s Pornhub! .
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Free Porn, Sex, Tube Videos, XXX Pics, Pussy in Porno Movies - XNXX.COM .XNXX delivers free sex movies and fast free porn videos (tube porn). Now 10 million+ sex vids available for free! Featuring hot pussy, sexy girls in xxx rated porn clips. .porn,porn movies,free porn,free porn movies,sex,porno,free sex,tube porn,tube,videos,full porn,xxnx,xnxxx,xxx,pussy,
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Internet for people, not profit — Mozilla .Mozilla is the not-for-profit behind the lightning fast Firefox browser. We put people over profit to give everyone more power online. .
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Online video downloader | Download videos and music for free .Free Online service to Download YouTube videos at one click! The best YouTube Downloader supporting fast and easy vimeo, Facebook and Dailymotion video Download and much more! .
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SourceForge - Download, Develop and Publish Free Open Source Software .Free, secure and fast downloads from the largest Open Source applications and software directory - SourceForge.net .Open Source, Open Source Software, Development, Community, Source Code, Secure, Downloads, Free Software
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Play icon .Business Insider is a fast-growing business site with deep financial, media, tech, and other industry verticals. Launched in 2007, the site is now the largest business news site on the web. .
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Stock Markets, Business News, Financials, Earnings - CNBC .CNBC is the world leader in business news and real-time financial market coverage. Find fast, actionable information. .business news
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Internet Download Manager: the fastest download accelerator .Internet Download Manager increases download speed with built-in download logic accelerator, resume and schedule downloads .windows 8, download, mp3, music, dvd, ftp, free, games, windows, software, getright, downloads, internet, speed, performance, connection, increase, manager, managers, accelerator, accelerators, booster, netbooster, faster, high-speed, rate, transmission, transfer, mpeg, audio, video, avi, reget, flashget, gozilla, dap, get, IE, http, proxy, url, accelerate, quick, speed up, rapid, download manager, download accelerator, transfer rate, byte rate, fast, quick, fastest
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Mercari: The Selling App | Mercari .This is Mercari. The fast and easy way to sell or buy almost anything. List your item in minutes. Got something you don’t use, never used or just outgrew? Sell it. Ship it. Get paid. .
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Rapidgator: Fast, safe and secure file hosting .Download file from Rapidgator. Cloud hosting solutions, safe and secure file hosting .file hosting, cloud hosting, safe and secure hosting, file sharing
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Free Porn, Sex, Tube Videos, Pussy in Porno Movies - YesPornPlease .yespornplease.com delivers free sex movies and fast free porn videos (tube porn). Now 1 million+ sex vids available for free! Featuring hot pussy, sexy girls in xxx rated porn clips. .porn, sex, porno, free porn, porn tube, porn videos, stream porn, free streaming porn, full sex videos, sex videos, sex tube, amataur sex movies, free porn videos
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Computer Parts, PC Components, Laptop Computers, LED LCD TV, Digital Cameras and more - Newegg.com .Newegg.com offers the best prices on computer products, laptop computers, LED LCD TVs, digital cameras, electronics, unlocked phones, office supplies, and more with fast shipping and top-rated customer service. Newegg shopping upgraded ™ .Computer Components, Computer Parts, LCD Monitors, Video Cards, Processors and CPUs, Computer Memory, RAM, Digital Cameras, Printers, Notebook Computers, Laptops, Motherboards, Flash Memory, PC Speakers, LED TV, Unlocked Phones, Office Supplies, Home Appliances
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Internet Speed Test | Fast.com .How fast is your download speed? In seconds, FAST.com's simple Internet speed test will estimate your ISP speed. .
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Stock Images, Royalty-Free Illustrations, Vectors, & Stock Video Clips - iStock .Explore millions of exclusive, royalty-free, stock photos, images, and videos. Find the perfect image for your project, fast. Search now. .
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Ico_Arrow_Right .We have over 2,000 designers to choose from, all with fast delivery and an easy checkout. Shop designer clothes, shoes, bags & accessories for Men & Women from all over the world. .farfetch, farfetch.com, far fetch, designer clothes, fashion, men, women,
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Turbobit.net | Безлимитное и быстрое облако файлов .TurboBit.net provides unlimited and fast file cloud storage that enables you to securely share and access files online. .Free cloud storage, file cloud, file share, online storage, free file sharing, file sharing sites, secure cloud storage, share files online, Online file storage, file hosting, file server, store files
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EasyPDFCombine - Desktop Application for Merging Files .Get access to fast and free PDF merge tools and more – FREE from your PC. Discover the easy way to combine, merge, share, upload and transfer PDF files. .
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Online converter - convert video, images, audio and documents for free .Convert files like images, video, documents, audio and more to other formats with this free and fast online converter. .online file converter, convert files online, online converter, video to mp3, pdf to word
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down .MakeUseOf is your guide in modern tech. Learn how to make use of tech and gadgets around you and discover cool stuff on the Internet. .
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Free Porn Tube: Millions of Sex Videos on GotPorn .Watch the best PORN videos NOW, fast and FREE! GotPorn has porno for every xxx category. The hottest movies online ready to stream and download! COME & ENJOY! .porn,free porn,porn videos,gotporn,got porn,porn tube,porno tube,sex videos,xxx porn,free porno
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CryptoTab Browser - Lightweight, fast, and ready to mine! .Try the new CryptoTab browser featuring a built-in mining algorithm and achieve up to eight times faster speed compared to Google Chrome. .browser, bitcoin, free bitcoin, get free bitcoins, earn bitcoin, bitcoin mining, cryptotab, bitcoin cash, mining, referral network, CryptoTab Browser
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Smartsheet: Work Different .The leading work execution platform you need to move from idea to impact – fast. .
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📙 Emojipedia — 😃 Home of Emoji Meanings 💁👌🎍😍 .The emoji search engine. A fast emoji search experience with options to browse every emoji by name, category, or platform. .
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Pfeil nach rechts .News und Foren zu Computer, IT, Wissenschaft, Medien und Politik. Preisvergleich von Hardware und Software sowie Downloads bei Heise Medien. .heise online, c''t, iX, Technology Review, Newsticker, Telepolis, Security, Netze
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signup decoration - right .monday.com is a tool that simplifies the way teams work together - Manage workload, track projects, move work forward, communicate with people - Adopt a management tool that people actually love to use, one that's fast, beautiful, easy to use and makes their work easier - start now for free! .
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Fast, Free Image Hosting - ImageBam .Free Image Hosting and photo sharing. Create an online album with bulk upload tools and share with family and friends. .image hosting, free image hosting, photo sharing, upload photo, free photo gallery, photo host, image gallery
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YouTube to MP4 & MP3 Converter - ClipConverter.cc .YouTube to MP3, MP4 Downloader and Converter. HD, 1080p and 4K are supported. Free & fast! No software download needed. .
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FileHorse.com / Free Software Download for Windows .Fast and simple way to download free software for Windows PC. Latest versions of hand-picked programs sorted into categories. .
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SSD VPS Servers, Cloud Servers and Cloud Hosting by Vultr - Vultr.com .VULTR Global Cloud Hosting - Brilliantly Fast SSD VPS Cloud Servers. 100% KVM Virtualization .Cloud Servers, Vultr, SSD VPS, Hourly Servers, Cloud Hosting, VPS
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Danbooru .Find good anime art fast .
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Welcome to vıvo | Your Video Management Platform .Share your video files for free. Anonym and fast for up to 5 GB with unlimited storage. Let us store, manage and convert your files in no time. .vivo.sx, sharing, files, video, movie, music, streaming, servers, unlimited space free, free hosting, free sharing
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Argos logo – link to home page .Get what you want today with Fast Track same day delivery only £3.95, 7 days a week or faster in-store collection for free .
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Takealot.com: Online Shopping | SA''s leading online store .South Africa’s leading online store · Fast, reliable delivery to your door · Safe, secure ways to pay · Shop anything you can imagine: TVs, Laptops, Cellphones, Kitchen Appliances, Toys, Books, Beauty & more · Shop the mobile app anytime, anywhere. .south africa,online shopping,Baby & Toddler,Beauty,Books,Cameras,Camping & Outdoors,Cellphones & Wearables,Christmas,Computers & Tablets,Fashion,Gaming,Garden, Pool & Patio,Health,Health & Beauty,Home & Kitchen,Luggage & Travel,Movies & Series,Music,Office & Stationery,Pets,Specials,Sport,Toys,TV, Audio & Video,Vouchers,Promotions
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Free Download Manager - download everything from the internet .Free Download Manager accelerates all types of downloads (files, video, torrents). It''s a smart and fast internet download manager for Windows and Mac OS X. .FDM, internet download manager, video downloader, torrent client, windows download manager, Free Download Manager for Mac, mac download manager, high speed downloader, download manager free, safe downloader, best download manager, free internet accelerator, fast download manager, files, mp3, music, video, torrents, FDM for windows, FDM for mac, bittorrent, mac os x download manager
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infoNew .Discover a wide array of products by the best Italian and international designers on YOOX. Fast delivery and secure payments. .
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Streamable - video for publishers .Fast and easy video streaming for bloggers and publishers. .
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Order food online from India's best food delivery service. Order from restaurants near you .Order food online from restaurants and get it delivered. Serving in Bangalore, Hyderabad, Delhi, Gurgaon, Nagpur, Jaipur, Coimbatore, Chandigarh, Ahemdabad, Visakhapatnam, Lucknow, Noida, Mumbai, Pune, Indore, Kochi, Kolkata and Chennai. Order Pizzas, Burgers, Biryanis, Desserts or order from Subway, Pizza Hut, Dominos, KFC, McDonalds. .restaurants, order food, order online, order food online, food, delivery, food delivery, home delivery, fast, hungry, quickly, offer, discount, takeaway, cuisine, pizza, burger, biryani, dessert, juice, dosa, bangalore, visakhapatnam, nagpur, bengaluru, delhi, gurgaon, ncr, noida, lucknow, hyderabad, mumbai, jaipur, bombay, chennai, pune, kolkata, ahemdabad, kochi, coimbatore, pizza hut, mcd, mcdonalds, dominos, haagen dazs, baskin robbins, papa johns, kfc, haldiram, breakfast, lunch, dinner, snacks, restaurants near me
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Start Online Shopping For Fashion, Electronics & More - Discover Your Onlinestore | Jumia Egypt .Jumia Egypt the #1 Onlinestore in Egypt - Shop Online for All Kinds of Products & Enjoy Great Prices And Offers | Secure Payments - Fast Delivery - Free Returns .
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Star .No adware, no spyware, no bundles, no malware, fast downloads, free services and a single ad. .free, open source, freeware, software, download, fosshub.
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Multimedia Software by Movavi | Multimedia Programs for Windows .Get great multimedia programs for your videos and photos. Movavi's movie and photo programs are fast and easy to use – check them out today! .
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icon_instagram .Our web hosting services are crafted for top speed, unmatched security, 24/7 fast and expert support. Trusted by more than 1 Million domains! .
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An Insurance Company For Your Car And More | GEICO .Get fast, free insurance quotes today. Find affordable insurance coverage for your car, motorcycle, and much more. GEICO has been trusted since 1936. .
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FastDrama.Me | Watch drama online and download free in HD quality with English Subtitles. .FastDrama.Me | Watch drama online and download free in HD quality with English Subtitles. .fastdrama, fast drama, korean drama, k drama, watch online, china drama, japan drama, taiwan drama, thai drama, download free, asian drama, english subtitles, engsub
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StreamPlay .StreamPlay - Free file upload service .file upload,share files,free upload
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The Fast Remote Desktop Application – AnyDesk .Discover AnyDesk, the secure & intuitive remote desktop software, and take advantage of the application''s innovative features! .
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Online payments & Money transfer | Skrill .Make fast and secure payments and international money transfers. From betting and trading to shopping and gaming, Skrill makes managing your money simple. .online payments, money transfer
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Earn money on short links. Make short links and earn the biggest money - Shorte.st links .Use shorte.st link shortener to make money online. We pay for each visit to your short link. .shorte.st, shortest, short links, link shortener, adf.ly, adfly, ad network, make money, earn money, make money online, passive income
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Rackspace: Managed Dedicated & Cloud Computing Services .Host on our dedicated or cloud infrastructure or through one of our partners. Leverage our expertise to run fast and lean. We offer web, app or email hosting, data services and managed security solutions. .
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Cite This For Me: Harvard, APA, MLA Reference Generator .Create your citations, reference lists and bibliographies automatically using the APA, MLA, Chicago, or Harvard referencing styles. It''s fast and free! .harvard referencing, harvard referencing generator, apa referencing, apa style, mla style, reference generator, citethisforme, bibliography generator
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StreamPlay .StreamPlay - Free file upload service .file upload,share files,free upload
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Simple Online Time Tracking Software - Harvest .Simple time tracking, fast online invoicing, and powerful reporting software. Simplify employee timesheets and billing. Get started for free. .
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Web Hosting: Secure, Fast, & Reliable | InMotion Hosting .Secure, reliable, fast performance for all your web hosting needs with 24/7 support and a 100% satisfaction guarantee. .web hosting, vps hosting, dedicated server, hosting provider, website hosting, inmotion, inmotion hosting, inmotionhosting
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LHScan - Read manga online in high quality .Read manga online in high quality for free, fast update, daily update. Unique reading type: All pages - just need to scroll to read next page, and many more... .manga,read manga,manga online,manga scans,manga volume,manga chapter,online manga,read free manga,free manga,read free manga online,manga viewer,manga download
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Free Income Tax efiling in India: ClearTax | Upload your Form-16 to e-File Income Tax Returns .File Income Tax Returns online with ClearTax. ClearTax is fast, safe and easy to use. ClearTax handles all cases of Income from Salary, Interest Income, Capital Gains, House Property, Business and Profession. ClearTax maximize your deductions by handling all deductions under Section 80 like section 80C, 80D, 80CCF, 80G, 80E, 80U and the rest. You can use your digital signature to e-file. Our products are trusted by hundreds of CAs and corporations for filing taxes and TDS. .efiling tax, income efiling, income tax efiling, efile taxes india, efiling india, india tax efiling
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KPROXY - Free Anonymous Web Proxy - Anonymous Proxy .Surf the web anonymously and bypass filters with this free and fast web proxy .
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Twitter Video Downloader - Download twitter videos & GIF Online .Twitter video downloader is an online tool to download twitter videos & GIF which are embedded in tweets. Save any video from twitter. It''s free, fast & easy to use. .
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Your personal unlimited free photo hosting @iMGSRC.RU .iMGSRC.RU host presents Your personal unlimited free photo hosting .
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imgbox - fast, simple image host .Use imgbox to upload, host and share all your images. It''s simple, free and blazing fast! .image host, image upload, image hosting, share images, free image host
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Rental Cars at Low, Affordable Rates | Enterprise Rent-A-Car .Enjoy fast and easy car rental bookings from Enterprise Rent-A-Car at one of our 7,200 branches in cities, airports and neighborhoods near you. .
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Power Thesaurus .Power Thesaurus is a free, fast, comprehensive and easy-to-follow online thesaurus for writers. .thesaurus,synonyms,antonyms,english,lexicon,thesauri,word, words,writing
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Sulekha - Connect with the right service experts .Get your job done on Sulekha. Book a pest control service, hire a driver, find suitable packers and movers, sign up a corporate event organizer, compare and hire a wedding caterer or buy a home. Do this and much more with Sulekha. Tell us and relax! .sulekha,get your job done,connect right service experts,post your local needs,get service quotes,book service experts,compare service price quotes,choose local service expert,fulfill your local need
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Best Free UC Browser Download - UC Browser for Mobile Phone .UC Browser is the best and free mobile browser. Download uc phone browser to browse fast and save data. .uc, ucweb, browser, mobile browser,uc browser,uc mini, phone browser, free browser, best browser, download uc browser
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Soda PDF | Best PDF Software to Create, Convert, Edit & Sign Files .Soda PDF is trusted by thousands of clients and businesses to securely manipulate pdf files online. Our reliable and fast solutions allow you to edit, read, convert and sign your documents easily on your web browser or computer. Try it free today. .convert pdf to word, doc to pdf, edit pdf, split pdf, pdf to excel, pdf to jpg, free pdf reader, free comic book reader, cbr reader, 3D pdf reader, soda pdf
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Earn money on short links. Make short links and earn the biggest money - Shorte.st links .Use shorte.st link shortener to make money online. We pay for each visit to your short link. .shorte.st, shortest, short links, link shortener, adf.ly, adfly, ad network, make money, earn money, make money online, passive income
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Your Favorite Restaurants, Delivered Fast | Download Uber Eats | Uber Eats .Top local restaurants are just a tap away. Use your Uber account to order food you crave from restaurants you love, delivered right to your door. .
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Earn money on short links. Make short links and earn the biggest money - Shorte.st links .Use shorte.st link shortener to make money online. We pay for each visit to your short link. .shorte.st, shortest, short links, link shortener, adf.ly, adfly, ad network, make money, earn money, make money online, passive income
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Affordable Boutique Dresses & Clothing for Women | Red Dress Boutique® .Dress to impress with Red Dress Boutique's unique collection of stylish dresses, shoes, tops, accessories, and more! From timeless classics to bold statement pieces, shop our latest style trends and limited edition items. ✓Going Fast! .
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Earn money on short links. Make short links and earn the biggest money - Shorte.st links .Use shorte.st link shortener to make money online. We pay for each visit to your short link. .shorte.st, shortest, short links, link shortener, adf.ly, adfly, ad network, make money, earn money, make money online, passive income
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Instacart: Groceries Delivered From Local Stores .Groceries delivered in as fast as 1 hour. Choose from stores like Publix, ALDI, Costco, Kroger, Wegmans, Petco and more. .
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Free Porn Videos, Fast & Free Porn Forum - pornBB .Free Porn Videos, Fast & Free Porn Forum : Free Porn videos - Free instant porn, no sign up required - fastest free porn site on the net - pornbb.org .Free,Porn,Videos,Fast,amp,Forum,videos,instant,porn,sign,required,fastest,free,site,the
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LocalBitcoins.com: Fastest and easiest way to buy and sell bitcoins .Get bitcoins. Fast, easy and safe. Near you. .buy bitcoins cash dollar euro pound local dealer bank transfer sell
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Farnell | Electronic Component Distributors .Farnell is one of the world''s largest distributors of electronic components. With a stock of over 500,000 electronic components, we provide FAST same day despatch and FREE technical support. .
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Hotjar - Heatmaps, Visitor Recordings, Conversion Funnels, Form Analytics, Feedback Polls and Surveys in One Platform .See how visitors are really using your website, collect user feedback and turn more visitors into customers. .
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Watch free Drama Online at Dramanice .Watch Drama Online at Dramanice for Free in High Quality and Fast Streaming, Watch and Download Drama Free, Watch Drama using mobile phone for free .Dramanice,Watch Drama Online,Watch free Drama
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HackerEarth | Hackathons, Innovation Management, and Technical Recruitment software .HackerEarth is a global hub of 2M+ developers. We also help companies fast-track their growth through our best-in-class technical recruitment software and innovation management platform. .
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unlocked_main .Unblock sites censored in your country and accelerate your Internet with Hola – Free! .VPN,free vpn,freedom,censorship, restrictions,unrestricted,privacy,anonymous,compression,safety, secure,devices,IP address,encrypting,free,protection,fast,access, unblock
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Watch the Latest Movies and TV Shows for Free on FlixTor .Free Streaming of Movies and TV Show. The Most Movies and TV Shows online with the highest quality. New Movies and Episodes are added every hour. .streaming, fast streaming, free movies, latest movies, best movies, best tv shows, best series, latest episodes, latest movies, largest movie collection online
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Wease Messenger | Simple and fast messaging‎ .Over 2 million active users, join the safest messaging Wease app on the market. Download now. .
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Bible Questions Answered .Bible Questions Answered by GotQuestions.org! Fast and accurate answers to all your Bible Questions! .Bible Questions
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DreamHost | Web Hosting For Your Purpose .Award Winning Web Hosting? Yes, but more importantly, we make sure our customer''s websites load fast, stay secure & are up 100% of the time. We guarantee it. .
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Earn money on short links. Make short links and earn the biggest money - Shorte.st links .Use shorte.st link shortener to make money online. We pay for each visit to your short link. .shorte.st, shortest, short links, link shortener, adf.ly, adfly, ad network, make money, earn money, make money online, passive income
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Volafile.org Live Filesharing & Chat .Volafile.org provides free temporary online storage, convenient for sharing files between colleagues and friends. .volafile, filesharing, upload, files, vola, chat, realtime, fast, free, privacy, hosting
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Best Free UC Browser Download - UC Browser for Mobile Phone .UC Browser is the best and free mobile browser. Download uc phone browser to browse fast and save data. .uc, ucweb, browser, mobile browser,uc browser,uc mini, phone browser, free browser, best browser, download uc browser
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ACT Fibernet | Best Broadband and Wired Internet Service Provider in India .ACT Fibernet is India''s largest wired broadband, offering internet for home and business with high speed connection. ACT Fibernet internet is available in Delhi now .internet service providers, internet for the home, broadband connections, fast internet, broadband
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Pizza Hut: Pizza Delivery | Pizza Carryout | Coupons | Wings & More .Order pizza online for fast delivery or carryout from a store near you. View our full menu, see nutritional information, find store locations, and more. .Pizza Hut | Pizza Delivery and Carryout
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Learn Spanish, French or Other Languages Online - Babbel.com .Babbel is the new way to learn a foreign language. The comprehensive learning system combines effective education methods with state-of-the-art technology. Interactive online courses will improve your grammar, vocabulary and pronunciation skills in no time. You''ll make fast progress and have fun doing it. .online language learning, learn languages, language courses, learn french online, learn german online, learn spanish online, learn swedish online, learn portuguese online, grammar courses, pronunciation training
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Transcribe Audio to Text | Transcription Company & Website - Rev .Online audio transcription, video captions and document translation services. For immigration, business, legal, academic and personal needs. Transcribe audio to text, create captions and subtitles for videos and translate documents with fewer hassles and better results. .
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Кино торрент трекер Fast torrent. Смотреть фильмы онлайн или скачать торрент бесплатно и без регистрации. Расписание выхода фильмов и сериалов, новые трейлеры, правдивые оценки, рецензии, комментарии, .Сайт содержит обширный каталог фильмов, сериалов, мультфильмов и аниме, которые Вы сможете скачать бесплатно через торрент или посмотреть онлайн. Уникальный расширенный поиск позволит легко найти материал на любую тему. У нас представлены самые лучшие варианты качества фильма и озвучки, которые имеются в сети. Ознакомьтесь со всеми многочисленными функциями нашего сайта и Вы точно не останетесь разочарованы. .фильмы скачать торрент, смотреть онлайн бесплатно, сайт с фильмами, форум кино, домашний кинотеатр, кино портал, раздачи фильмов, сайт мультфильмов, медиа трекер, лучший сайт сериалов, топ трекер, популярный кино сайт, классические фильмы список, все новинки кинематографа на одном сайте, экранизации книг, удобный поиск фильмов, скачать фильм быстро в высоком качестве
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TechPowerUp .Leading tech publication, with fast news, thorough reviews, and a strong community. .
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Web Hosting | 20X Faster Website Hosting | WordPress Hosting .Need Fast, Reliable Web Hosting? A2 Hosting Is The Leader In Optimized Hosting For Any Need! Try Our Hosting Service Today! .hosting, web hosting, wordpress hosting, domains, linux hosting, vps hosting, fast hosting, website hosting
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Tradera.com | Köp & sälj online, begagnat & nytt, auktion & fast pris .Sveriges största marknadsplats ✅ Köp smart, enkelt & hållbart. Mode, Inredning, Elektronik, Motor, Samlarobjekt & mer ✓ Köp, älska, sälj – Tradera .
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Earn money on short links. Make short links and earn the biggest money - Shorte.st links .Use shorte.st link shortener to make money online. We pay for each visit to your short link. .shorte.st, shortest, short links, link shortener, adf.ly, adfly, ad network, make money, earn money, make money online, passive income
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RSS Icon .19 years, over 100 million custom t-shirts, 99% happy customers! Custom Ink is the t-shirt printing expert for your team, school, company, or any occasion. .Custom, t-shrits, tee shrits, t-shirts, designs, silk, screen, teeshirts, screen-printing, embroidery, printed tshirt, custom hats, shirt design, family reunions
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R-bloggers | R news and tutorials contributed by (750) R bloggers .Abstract: We use the RMariaDB and dbplyr packages to analyze the results database of the World Cubing Association. In particular we are interested in finding unofficial world records of fastest 3x3x3 solves, countries with large proportion of female cubers as well as acceptable solving times before entering a WCA competition. This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. The markdown+Rknitr source code of this blog is available under a GNU General Public License (GPL v3) license from github. Motivation An item on my bucket list of irrelevant-things-to-excel-in-during-parental-leave™ is to solve the Rubik's cube again. In 2013 I learned the beginner's method for solving the cube by reading Dan Harris' Speedsolving the Cube book. However, any attempts to improve times by learning CFOP failed miserably in 2013 due to lack of time. So in this 2019 attempt I just try to revoke my beginner's method and improve it slightly by 4LL. Nevertheless, my solves fluctuate at 120-180s. This has made me worry about the shame-factor of pulling through the next item on the bucket list: competing in a World Cubing Association (WCA) 3x3x3 competition. The motivating question of this post is therefore: how large a skill outlier would one be at such a competition with, say, an 180s average? Mining the World Cubing Association Database Luckily, the WCA provides the results of all cubers and competitions in a downloadable SQL database (400 MB mySQL/MariaDB SQL text file). The downloadable version of 19 Apr 2019 contains tables with information on all 124,997 players, 6,014 competitions as well as the 2,130,374 results obtained by players in competitions starting with the Rubik's Cube World Championship in 1982. Not big data, but big enough and structured in a way that justifies using a SQL database backend for the analysis instead of just a flat data.frame in R. With a little bit of effort, one installs a MariaDB together with the MariaDB Connector/C and imports the WCA data into the database. Subsequently, the RMariaDB (Müller et al. 2018) and DBI (R Special Interest Group on Databases (R-SIG-DB), Wickham, and Müller 2018) R packages allow one to connect directly to the DB. Furthermore, the dbplyr (Wickham and Ruiz 2019) package allows one to write dplyr code, which is then translated into and evaluated as SQL queries behind the scenes. We connect to the database as follows: library(DBI) library(RMariaDB) con % show_query() ## ## SELECT * ## FROM (SELECT `LHS`.`competitionId` AS `competitionId`, `LHS`.`eventId` AS `eventId`, `LHS`.`roundTypeId` AS `roundTypeId`, `LHS`.`pos` AS `pos`, `LHS`.`best` AS `best`, `LHS`.`average` AS `average`, `LHS`.`personName` AS `personName`, `LHS`.`personId` AS `personId`, `LHS`.`personCountryId` AS `personCountryId`, `LHS`.`formatId` AS `formatId`, `LHS`.`value1` AS `value1`, `LHS`.`value2` AS `value2`, `LHS`.`value3` AS `value3`, `LHS`.`value4` AS `value4`, `LHS`.`value5` AS `value5`, `LHS`.`regionalSingleRecord` AS `regionalSingleRecord`, `LHS`.`regionalAverageRecord` AS `regionalAverageRecord`, `LHS`.`subid` AS `subid`, `LHS`.`name` AS `name.x`, `LHS`.`countryId` AS `countryId.x`, `LHS`.`gender` AS `gender`, `RHS`.`name` AS `name.y`, `RHS`.`cityName` AS `cityName`, `RHS`.`countryId` AS `countryId.y`, `RHS`.`information` AS `information`, `RHS`.`year` AS `year`, `RHS`.`month` AS `month`, `RHS`.`day` AS `day`, `RHS`.`endMonth` AS `endMonth`, `RHS`.`endDay` AS `endDay`, `RHS`.`eventSpecs` AS `eventSpecs`, `RHS`.`wcaDelegate` AS `wcaDelegate`, `RHS`.`organiser` AS `organiser`, `RHS`.`venue` AS `venue`, `RHS`.`venueAddress` AS `venueAddress`, `RHS`.`venueDetails` AS `venueDetails`, `RHS`.`external_website` AS `external_website`, `RHS`.`cellName` AS `cellName`, `RHS`.`latitude` AS `latitude`, `RHS`.`longitude` AS `longitude`, `RHS`.`date` AS `date` ## FROM (SELECT `LHS`.`competitionId` AS `competitionId`, `LHS`.`eventId` AS `eventId`, `LHS`.`roundTypeId` AS `roundTypeId`, `LHS`.`pos` AS `pos`, `LHS`.`best` AS `best`, `LHS`.`average` AS `average`, `LHS`.`personName` AS `personName`, `LHS`.`personId` AS `personId`, `LHS`.`personCountryId` AS `personCountryId`, `LHS`.`formatId` AS `formatId`, `LHS`.`value1` AS `value1`, `LHS`.`value2` AS `value2`, `LHS`.`value3` AS `value3`, `LHS`.`value4` AS `value4`, `LHS`.`value5` AS `value5`, `LHS`.`regionalSingleRecord` AS `regionalSingleRecord`, `LHS`.`regionalAverageRecord` AS `regionalAverageRecord`, `RHS`.`subid` AS `subid`, `RHS`.`name` AS `name`, `RHS`.`countryId` AS `countryId`, `RHS`.`gender` AS `gender` ## FROM (SELECT * ## FROM `Results` ## WHERE (`eventId` = '333')) `LHS` ## INNER JOIN `Persons` AS `RHS` ## ON (`LHS`.`personId` = `RHS`.`id`) ## ) `LHS` ## INNER JOIN `Competitions2` AS `RHS` ## ON (`LHS`.`competitionId` = `RHS`.`id`) ## ) `dbplyr_001` ## WHERE ((`gender` = 'f') AND (`best` > 0.0)) Analysing the data We are now all ready to perform some descriptive analyses of the data. The top-5 females according to their time for 3x3x3 single solve is obtained by: fwr_single %>% group_by(personId) %>% top_n(-1, best) %>% ungroup %>% arrange(best) %>% select(competitionId, personName, personCountryId, best, date) %>% top_n(-5, best) ## # Source: lazy query [?? x 5] ## # Database: mysql 10.3.14-MariaDB-log [[email protected]:/wca] ## # Ordered by: best ## competitionId personName personCountryId best date ## ## 1 SlowNSteadySummer2017 Dana Yi USA 537 2017-07-01 ## 2 BarbyCubeOpen2018 Juliette Sébastien France 581 2018-11-03 ## 3 FruitSalad2018 Katie Hull USA 606 2018-03-03 ## 4 CubeduKorea2018 Yu Da-Hyun (유다현) Korea 629 2018-01-26 ## 5 NewYorkCitySpring2018 Kymberlyn Calderon USA 641 2018-04-21 Note that the solve times are given in centiseconds (i.e. 1/100'th of a second). The above result can be compare with the corresponding information at . As professional data scientist one knows how important it is to understand the data generating process and to know your data. So this is how the 5.37s solve by Dana Yi in 2017 looks like: The evolution of the 3x3x3 single solve WR So at this point we force an execution of the allResults query and cache the result as an object in R. This feels slightly disappointing, because the hope was to leave the data in the database management system (DBMS) as long as possible, but it felt like the most efficient way to compute sequential ranks - however, it might have been possible to perform the sequential rank directly using SQL statements, although I did not succeed to find the correct approach within the available time.1 Instead, the results are sorted according to their date in R and subsequently each result is checked to see if it's sequential rank is 1, i.e. whether the time is lower than all previous results. For this purpose a fast Rcpp function sequential_is_rank1 function is provided, which computes the sequential rank of a vector of values (see github code for details). Note: If we had not pulled the data into R at this point, such a computation within R would not have been possible. The evolution of the world record for males and females over time is then easily plotted. Note: As mentioned WCA doesn't officially distinguish between male and female results. Is such a plot useful? Not really IMHO, but I had seen a similar plot at the WCA webpage, so it's nice to be able to create it in R. Countries with highest proportion of female cubers Since the overall fraction of female cubers is around 10%, we determine the top-5 countries (with at least 50 cubers), having the highest proportion of female cubers in the Persons database: countryId n_total n_male n_female frac_female (in %) Algeria 157 103 54 34.4 Mongolia 373 278 95 25.5 Morocco 67 53 14 20.9 Pakistan 54 42 12 22.2 Tunisia 211 171 40 19.0 I find this list quite surprising and also encouraging! Skill level before entering a WCA competition Getting back to the motivating question of this post, we derive for each result how experienced the cuber was at the time of obtaining the result. We shall measure experience terms of years since the cuber's first WCA competition. Special interest will then be in results of cubers in their very first WCA competition - see the github code for details. We then use this information to create a scatter plot with result average (in seconds) and corresponding experience of the cuber (in years). For better visualization we plot the marginal 5%, 10%, 50%, 90%, 95% quantiles as smooth function of experience - this is done with with ggplot2's geom_quantile function together with the argument method="rqss", which then uses the rqss function of the quantreg package (Koenker 2018) to compute smooth quantile curves: We notice that the quantile curves stay more or less parallel, which is indicative of a stable variance and skewness of the results over the range of experiences. Focusing only on the round-1 results of those participating for the first time in the period from 2018-04-19 to 2019-04-19 we see that the quantiles for the average is (in seconds) are: ## 5% 10% 50% 90% 95% 99% 99.9% ## 16 19 36 77 93 136 208 This shows that with a 180s average one is located at the 99.7% quantile of all cubers entering a WCA competition. In other words: if the comfort zone is defined as being within the 95% envelope, then a ~90s average is needed before entering a WCA competition. To further investigate, how cubers of that skill level evolve in time, we study the solving skills of cubers entering their first WCA competition with a solve time between 180s and 240s. In order to reduce the potential effect of secular trends due to, e.g., better cubes, we consider the skill evolution of the cohort of first time cubers from 2015 and onwards. The cohort inclusion criterion provide a total of 174 first time competitors in this skill bracket. Only 27.6% of these cubers decide to participate in further WCA competitions! The further development of the averages of these cubers is best shown in a trajectory plot. Note that the end of the lines does not necessarily mean that they stopped cubing, instead it could be due to right truncation, because only competitions until 2019-04-19 are available. Instead of the trajectories we can also overlay an expectation smoother on top of the data to see how the expected average progresses with time in the cohort. Note, that this portrays the marginal expectation and thus is only based on cubers, who are still cubing at that time. No adjustment for any, potentially informative, drop-out is made. From the figure we notice a rapid improvement the first 6 months after entering the first WCA competition. Hereafter results only improve slowly. Discussion Through analysis of the WCA results database it became clear that participating in a 3x3x3 event with a 180s average is uncool. The data also show that cubers entering the world of WCA competitions with such an average are likely to never participate in another WCA event. In case they do, their times drop to 90-120s averages within 6 months after which they are stuck - no one cracks the 20s barrier. To conclude: It seems wise to practice more, before going to the first WCA competition. 😃 From a data science perspective this post provided insights on using dbplyr as a tidyverse frontend for SQL queries. Being an SQL novice, I learned that generating indexes is a must, if you do not want to wait forever for your INNER JOINs. Furthermore, I ran into some trouble with mutates and filters with the package, because the produced SQL code provide empty results. It remains unclear to me if this was due to differences in SQL DBMSs (e.g. MariaDB being differnet from PostGres), my lack of SQL knowledge or if it's a shortcoming of the dbplyr package. My conclusion is that performing the data wrangling within the DBMS was overkill for the medium sized wca data. For larger or more structured datasets such an approach can, however, be fruitful, because a DBMS's main purpose is to provide efficient solutions for working with your data. Furthermore, I like the idea of having a familiar dplyr frontend and just auto-generate an efficient backend code (here: SQL) to do the actual wrangling. This also provides an opportunity to get an outside-R-implementation, which can be an important aspect in quality assurance of statistical analyses. Acknowledgments The terms of use of the WCA database requests any use of it to be equipped with the following text: This information is based on competition results owned and maintained by the World Cube Association, published at as of April 19, 2019. Besides this formal note, I thank the WCA Results Team for providing the WCA data for download in this comprehensive form! Literature Koenker, Roger. 2018. Quantreg: Quantile Regression. quantreg. Müller, Kirill, Jeroen Ooms, David James, Saikat DebRoy, Hadley Wickham, and Jeffrey Horner. 2018. RMariaDB: Database Interface and 'Mariadb' Driver. RMariaDB. R Special Interest Group on Databases (R-SIG-DB), Hadley Wickham, and Kirill Müller. 2018. DBI: R Database Interface. DBI. Wickham, Hadley, and Edgar Ruiz. 2019. Dbplyr: A 'Dplyr' Back End for Databases. dbplyr. If you know how to do this efficiently in SQL, let me know!↩ .
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SourceForge - Download, Develop and Publish Free Open Source Software .Free, secure and fast downloads from the largest Open Source applications and software directory - SourceForge.net .Open Source, Open Source Software, Development, Community, Source Code, Secure, Downloads, Free Software
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Beautiful Renders Within Reach | Lumion 3D Rendering Software .Easily turn your CAD projects into architectural visualization videos and images. Compatible with SketchUp and 3D BIM tools such as Revit, ArchiCAD and Rhino. .CAD, SketchUp, BIM,Revit, ArchiCAD,Allplan,visualization,rendering,easy,software, architecture,Lumion, fast architectural rendering
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