Welcome to the Investopedia Bitcoin Center, where you can find the current price of Bitcoin as well as real-time updated news on the world’s most important cryptocurrency. For good or for ill, Bitcoin is being explored by every major world bank and may very well be the backbone of our global financial system in the near future. Use charts, watch videos, learn new Bitcoin related terms, and get all of your questions answered about Bitcoin here at Investopedia.
Bitcoin turns 10 — how it went from an abstract idea to a $100 billion market in a decade  CNBCBitcoin is 10 years old today — here's a look back at its crazy history  Business InsiderFactbox: Ten years of bitcoin  Reuters10 years later, we still don't know what Bitcoin is for  Telegraph.co.ukIt's Bitcoin's 10th Birthday. Here's What People Are […]
If the private key is lost, the bitcoin network will not recognize any other evidence of ownership;[30] the coins are then unusable, and effectively lost. For example, in 2013 one user claimed to have lost 7,500 bitcoins, worth $7.5 million at the time, when he accidentally discarded a hard drive containing his private key.[74] A backup of his key(s) would have prevented this. 

As bitcoin has matured as a cryptocurrency there has been more companies warming to the idea of using various bitcoin exchange facilities to gain exposure to the volatile bitcoin price while a few websites such as reddit WordPress and overstock have begun accepting bitcoins, most major retailers have yet to take the plunge into the cryptoverse whils other pioneers have decided to create their own bitcoin forks and have listed new projects on other cryptocurrency exchanges.
In January 2015 Coinbase raised 75 million USD as part of a Series C funding round, smashing the previous record for a bitcoin company.[109] Less than one year after the collapse of Mt. Gox, United Kingdom-based exchange Bitstamp announced that their exchange would be taken offline while they investigate a hack which resulted in about 19,000 bitcoins (equivalent to roughly US$5 million at that time) being stolen from their hot wallet.[110] The exchange remained offline for several days amid speculation that customers had lost their funds. Bitstamp resumed trading on 9 January after increasing security measures and assuring customers that their account balances would not be impacted.[111]
Speculation drives numbers. Many Bitcoin users are holding onto their bitcoins in hopes of selling them off for an enormous profit one day. With news articles portraying Bitcoin millionaires as lucky kids who got in early, you can’t really blame them. For example, if you had spent your $5 latte money on 2,000 bitcoins one morning in 2010, they would be worth about $5.4 million today. Makes you really wish you’d managed your Starbucks budget better, doesn’t it?
Our second assumption is that the supply of bitcoin will approach 21 million as specified in the current protocol.  To give some context, the current supply of bitcoin is around 17 million, the rate at which bitcoin is released decreases by half roughly every four years, and the supply should get past 19 million in the year 2022.  The key part of this assumption is that the protocol will not be changed.  Note that changing the protocol would require the concurrence of a majority of the computing power engaged in bitcoin mining. (Related: How Does Bitcoin Mining Work?)
The future of global payments could be in the early stages of significant change, with Bitcoin and other cryptocurrencies gaining in popularity and use. These charts can keep you up to date on Bitcoin prices and market activity, and can be a useful tool for timing purchases or sales. While prices could go down as well as up, the Bitcoin market has enormous potential, and prices seen in 2017 could eventually look like a genuine bargain.a
In late August 2012, an operation titled Bitcoin Savings and Trust was shut down by the owner, leaving around US$5.6 million in bitcoin-based debts; this led to allegations that the operation was a Ponzi scheme.[197][198][199][200] In September 2012, the U.S. Securities and Exchange Commission had reportedly started an investigation on the case.[201]
Press Contacts: San Francisco, CA, Kerryn Lloyd, [email protected] San Francisco, CA – August 28, 2018 –The Bitcoin Foundation has received a commitment of $200,000 for its 2018/2019 plan - $100,000 from Brock Pierce, a venture capitalist, philanthropist, serial entrepreneur and Chairman of the Bitcoin Foundation and a further $100,000 commitment [...]

"While crypto markets have seen rapid growth, such trading platforms don’t seem to be well-enough prepared in terms of security," said Hong Seong-ki, head of the country's cryptocurrency response team South Services Commission. "We’re trying to legislate the most urgent and important things first, aiming for money-laundering prevention and investor protection. The bill should be passed as soon as possible."

That crash was made up for by a rally in October and November of that year. By early October, Bitcoin was at about $100, and it hit $195 by the end of the month. In November alone, Bitcoin had an unbelievable rally, going from $200 to more than $1,120. The causes of this rally were fairly obvious to most people, as more miners and exchanges were supporting Bitcoin. In addition, China had entered the marketplace.
Nigel Dodd argues in The Social Life of Bitcoin that the essence of the bitcoin ideology is to remove money from social, as well as governmental, control.[124] Dodd quotes a YouTube video, with Roger Ver, Jeff Berwick, Charlie Shrem, Andreas Antonopoulos, Gavin Wood, Trace Meyer and other proponents of bitcoin reading The Declaration of Bitcoin's Independence. The declaration includes a message of crypto-anarchism with the words: "Bitcoin is inherently anti-establishment, anti-system, and anti-state. Bitcoin undermines governments and disrupts institutions because bitcoin is fundamentally humanitarian."[124][123]
Lightweight clients consult full clients to send and receive transactions without requiring a local copy of the entire blockchain (see simplified payment verification – SPV). This makes lightweight clients much faster to set up and allows them to be used on low-power, low-bandwidth devices such as smartphones. When using a lightweight wallet, however, the user must trust the server to a certain degree, as it can report faulty values back to the user. Lightweight clients follow the longest blockchain and do not ensure it is valid, requiring trust in miners.[92]

No one knows. Not conclusively, at any rate. Satoshi Nakamoto is the name associated with the person or group of people who released the original Bitcoin white paper in 2008 and worked on the original Bitcoin software that was released in 2009. The Bitcoin protocol requires users to enter a birthday upon signup, and we know that an individual named Satoshi Nakamoto registered and put down April 5 as a birth date. And that's about it.


Bitcoin can even be purchased as a long-term investment through a Bitcoin IRA. A Bitcoin IRA can provide the same profit potential and investment opportunity as a regular Bitcoin purchase, but it can do so with the added benefits of an IRA account. Some of the primary benefits of purchasing Bitcoin in an IRA include tax-deferred growth and a possible tax deduction. For more information on Bitcoin IRA accounts, visit cyrptoira.com. 
In any situation, CEX.IO provides users with the proper conditions for selling and buying Bitcoins and helps them make the correct decisions. The Bitcoin to USD chart is designed for users to instantly see the changes that occur on the market and predict what will come next. This feature allows customers to seize the most appropriate moment for the transaction so that they can gain the maximum benefit from it. So, if you are looking for a Bitcoin to dollar exchange, choose CEX.IO for the best experience. With the platform, you will be able to get an advanced user experience.
Most stock quote data provided by BATS. Market indices are shown in real time, except for the DJIA, which is delayed by two minutes. All times are ET. Disclaimer. Morningstar: © 2018 Morningstar, Inc. All Rights Reserved. Factset: FactSet Research Systems Inc.2018. All rights reserved. Chicago Mercantile Association: Certain market data is the property of Chicago Mercantile Exchange Inc. and its licensors. All rights reserved. Dow Jones: The Dow Jones branded indices are proprietary to and are calculated, distributed and marketed by DJI Opco, a subsidiary of S&P Dow Jones Indices LLC and have been licensed for use to S&P Opco, LLC and CNN. Standard & Poor's and S&P are registered trademarks of Standard & Poor's Financial Services LLC and Dow Jones is a registered trademark of Dow Jones Trademark Holdings LLC. All content of the Dow Jones branded indices © S&P Dow Jones Indices LLC 2018 and/or its affiliates.
Most stock quote data provided by BATS. Market indices are shown in real time, except for the DJIA, which is delayed by two minutes. All times are ET. Disclaimer. Morningstar: © 2018 Morningstar, Inc. All Rights Reserved. Factset: FactSet Research Systems Inc.2018. All rights reserved. Chicago Mercantile Association: Certain market data is the property of Chicago Mercantile Exchange Inc. and its licensors. All rights reserved. Dow Jones: The Dow Jones branded indices are proprietary to and are calculated, distributed and marketed by DJI Opco, a subsidiary of S&P Dow Jones Indices LLC and have been licensed for use to S&P Opco, LLC and CNN. Standard & Poor's and S&P are registered trademarks of Standard & Poor's Financial Services LLC and Dow Jones is a registered trademark of Dow Jones Trademark Holdings LLC. All content of the Dow Jones branded indices © S&P Dow Jones Indices LLC 2018 and/or its affiliates.
In January 2015 Coinbase raised 75 million USD as part of a Series C funding round, smashing the previous record for a bitcoin company.[109] Less than one year after the collapse of Mt. Gox, United Kingdom-based exchange Bitstamp announced that their exchange would be taken offline while they investigate a hack which resulted in about 19,000 bitcoins (equivalent to roughly US$5 million at that time) being stolen from their hot wallet.[110] The exchange remained offline for several days amid speculation that customers had lost their funds. Bitstamp resumed trading on 9 January after increasing security measures and assuring customers that their account balances would not be impacted.[111]
The use of bitcoin by criminals has attracted the attention of financial regulators, legislative bodies, law enforcement, and the media.[220] In the United States, the FBI prepared an intelligence assessment,[221] the SEC issued a pointed warning about investment schemes using virtual currencies,[220] and the U.S. Senate held a hearing on virtual currencies in November 2013.[222] The U.S. government claimed that bitcoin was used to facilitate payments related to Russian interference in the 2016 United States elections.[223]
The use of bitcoin by criminals has attracted the attention of financial regulators, legislative bodies, law enforcement, and the media.[220] In the United States, the FBI prepared an intelligence assessment,[221] the SEC issued a pointed warning about investment schemes using virtual currencies,[220] and the U.S. Senate held a hearing on virtual currencies in November 2013.[222] The U.S. government claimed that bitcoin was used to facilitate payments related to Russian interference in the 2016 United States elections.[223]

M3 (which includes all the other buckets) minus M1 is worth about 45 trillion US dollars.  We will include this as a store of value that is comparable to bitcoin.  To this, we will also add an estimate for the worldwide value of gold held as a store of value.  While some may use jewelry as a store of value, for our model we will only consider gold bullion.  The US Geological Survey estimated that at the end of 1999, there were about 122,000 metric tons of available above-ground gold.  Of this, 48%, or 58,560 metric tons, was in the form of private and official bullion stocks.  At an estimated current price of $1200 per troy ounce, that amount of gold is today worth upwards of 2.1 trillion US dollars.  Since there has recently been a deficit in the supply of silver and governments have been selling significant amounts of their silver bullion, we reason that most silver is being used in industry and not as a store of value, and will not include silver in our model.  Neither will we treat other precious metals or gemstones.  In aggregate, our estimate for the global value of stores of value comparable to bitcoin, including savings accounts, small and large time deposits, money market funds, and gold bullion, come to 47.1 trillion US dollars.


In November 2013, the University of Nicosia announced that it would be accepting bitcoin as payment for tuition fees, with the university's chief financial officer calling it the "gold of tomorrow".[85] During November 2013, the China-based bitcoin exchange BTC China overtook the Japan-based Mt. Gox and the Europe-based Bitstamp to become the largest bitcoin trading exchange by trade volume.[86]


In January 2012, bitcoin was featured as the main subject within a fictionalized trial on the CBS legal drama The Good Wife in the third-season episode "Bitcoin for Dummies". The host of CNBC's Mad Money, Jim Cramer, played himself in a courtroom scene where he testifies that he doesn't consider bitcoin a true currency, saying "There's no central bank to regulate it; it's digital and functions completely peer to peer".[49]
A wallet stores the information necessary to transact bitcoins. While wallets are often described as a place to hold[87] or store bitcoins,[88] due to the nature of the system, bitcoins are inseparable from the blockchain transaction ledger. A better way to describe a wallet is something that "stores the digital credentials for your bitcoin holdings"[88] and allows one to access (and spend) them. Bitcoin uses public-key cryptography, in which two cryptographic keys, one public and one private, are generated.[89] At its most basic, a wallet is a collection of these keys.
The proof-of-work system, alongside the chaining of blocks, makes modifications of the blockchain extremely hard, as an attacker must modify all subsequent blocks in order for the modifications of one block to be accepted.[81] As new blocks are mined all the time, the difficulty of modifying a block increases as time passes and the number of subsequent blocks (also called confirmations of the given block) increases.[64]

Bitcoin is a cryptocurrency, a digital asset designed to work as a medium of exchange that uses cryptography to control its creation and management, rather than relying on central authorities.[1] The presumed pseudonymous Satoshi Nakamoto integrated many existing ideas from the cypherpunk community when creating bitcoin. Over the course of bitcoin's history, it has undergone rapid growth to become a significant currency both on and offline – from the mid 2010s, some businesses began accepting bitcoin in addition to traditional currencies.[2]

In July 2013, a project began in Kenya linking bitcoin with M-Pesa, a popular mobile payments system, in an experiment designed to spur innovative payments in Africa.[71] During the same month the Foreign Exchange Administration and Policy Department in Thailand stated that bitcoin lacks any legal framework and would therefore be illegal, which effectively banned trading on bitcoin exchanges in the country.[72][73] According to Vitalik Buterin, a writer for Bitcoin Magazine, "bitcoin's fate in Thailand may give the electronic currency more credibility in some circles", but he was concerned it didn't bode well for bitcoin in China.[74]
Researchers have pointed out at a "trend towards centralization". Although bitcoin can be sent directly to the bitcoin network, in practice intermediaries are widely used.[30]:220–222 Bitcoin miners join large mining pools to minimize the variance of their income.[30]:215, 219–222[107]:3[108] Because transactions on the network are confirmed by miners, decentralization of the network requires that no single miner or mining pool obtains 51% of the hashing power, which would allow them to double-spend coins, prevent certain transactions from being verified and prevent other miners from earning income.[109] As of 2013 just six mining pools controlled 75% of overall bitcoin hashing power.[109] In 2014 mining pool Ghash.io obtained 51% hashing power which raised significant controversies about the safety of the network. The pool has voluntarily capped their hashing power at 39.99% and requested other pools to act responsibly for the benefit of the whole network.[110]
Bitcoin prices were negatively affected by several hacks or thefts from cryptocurrency exchanges, including thefts from Coincheck in January 2018, Coinrail and Bithumb in June, and Bancor in July. For the first six months of 2018, $761 million worth of cryptocurrencies was reported stolen from exchanges.[60] Bitcoin's price was affected even though other cryptocurrencies were stolen at Coinrail and Bancor, as investors worried about the security of cryptocurrency exchanges.[61][62][63]
Another interesting way (literally) to earn bitcoins is by lending them out, and being repaid in the currency. Lending can take three forms – direct lending to someone you know; through a website which facilitates peer-to-peer transactions, pairing borrowers and lenders; or depositing bitcoins in a virtual bank that offers a certain interest rate for Bitcoin accounts. Some such sites are Bitbond, BitLendingClub and BTCjam. Obviously, you should do due diligence on any third-party site.
In June 2014 the network exceeded 100 petahash/sec.[101] On 18 June 2014, it was announced that bitcoin payment service provider BitPay would become the new sponsor of St. Petersburg Bowl under a two-year deal, renamed the Bitcoin St. Petersburg Bowl. Bitcoin was to be accepted for ticket and concession sales at the game as part of the sponsorship, and the sponsorship itself was also paid for using bitcoin.[102]
In January 2014, Zynga[92] announced it was testing bitcoin for purchasing in-game assets in seven of its games. That same month, The D Las Vegas Casino Hotel and Golden Gate Hotel & Casino properties in downtown Las Vegas announced they would also begin accepting bitcoin, according to an article by USA Today. The article also stated the currency would be accepted in five locations, including the front desk and certain restaurants.[93] The network rate exceeded 10 petahash/sec.[94] TigerDirect[95] and Overstock.com[96] started accepting bitcoin.
Bitcoins can be accepted as a means of payment for products sold or services provided. If you have a brick and mortar store, just display a sign saying “Bitcoin Accepted Here” and many of your customers may well take you up on it; the transactions can be handled with the requisite hardware terminal or wallet address through QR codes and touch screen apps. An online business can easily accept bitcoins by just adding this payment option to the others it offers, like credit cards, PayPal, etc. Online payments will require a Bitcoin merchant tool (an external processor like Coinbase or BitPay). 
17-20 November 2017 $7,600-8,100 Briefly topped at USD $8004.59/BTC at 01:14:11 UTC before retreating from highs. At 05:35 UTC on 20 November 2017 it stood at USD$7,988.23/BTC according to CoinDesk.[165] This surge in bitcoin may be related to developments in the 2017 Zimbabwean coup d'état. The market reaction in one bitcoin exchange is alarming as 1 BTC topped nearly US$13,500, just shy of 2 times the value of the International market.[166][167]
Bitcoin has become more widely traded as of 2017, and both short term traders and long-term investors are looking to participate in this exciting market. The price of bitcoin fluctuates on a daily basis, and can see some significant price volatility. Prices can be affected by numerous influences. Some of the possible drivers of price include: further acceptance, more exchanges opening, regulations, weakening paper currency values, inflation and more.
Market Risk: Like with any investment, Bitcoin values can fluctuate. Indeed, the value of the currency has seen wild swings in price over its short existence. Subject to high volume buying and selling on exchanges, it has a high sensitivity to “news." According to the CFPB, the price of bitcoins fell by 61% in a single day in 2013, while the one-day price drop in 2014 has been as big as 80%.
^ Jump up to: a b c d Joshua A. Kroll; Ian C. Davey; Edward W. Felten (11–12 June 2013). "The Economics of Bitcoin Mining, or Bitcoin in the Presence of Adversaries" (PDF). The Twelfth Workshop on the Economics of Information Security (WEIS 2013). Archived (PDF) from the original on 9 May 2016. Retrieved 26 April 2016. A transaction fee is like a tip or gratuity left for the miner.

On 19 June 2011, a security breach of the Mt. Gox bitcoin exchange caused the nominal price of a bitcoin to fraudulently drop to one cent on the Mt. Gox exchange, after a hacker used credentials from a Mt. Gox auditor's compromised computer illegally to transfer a large number of bitcoins to himself. They used the exchange's software to sell them all nominally, creating a massive "ask" order at any price. Within minutes, the price reverted to its correct user-traded value.[186][187][188][189][190][191] Accounts with the equivalent of more than US$8,750,000 were affected.[188]


Another interesting way (literally) to earn bitcoins is by lending them out, and being repaid in the currency. Lending can take three forms – direct lending to someone you know; through a website which facilitates peer-to-peer transactions, pairing borrowers and lenders; or depositing bitcoins in a virtual bank that offers a certain interest rate for Bitcoin accounts. Some such sites are Bitbond, BitLendingClub and BTCjam. Obviously, you should do due diligence on any third-party site.
The U.S. Commodity Futures Trading Commission has issued four "Customer Advisories" for bitcoin and related investments.[14] A July 2018 warning emphasized that trading in any cryptocurrency is often speculative, and there is a risk of theft from hacking, and fraud.[168] A February 2018 advisory warned against investing an IRA fund into virtual currencies.[169] A December 2017 advisory warned that virtual currencies are risky because:
More recently, at a congressional hearing on Capitol Hill, global economist and New York University professor Nouriel Roubini said, "Crypto is the mother or father of all scams and bubbles." He called out "swindlers" who tapped into investors' fear of missing out and took them for a ride with "crappy assets that went into a bust and crash — in a matter of months — like you have not seen in any history of financial bubbles."

In early February 2014, one of the largest bitcoin exchanges, Mt. Gox,[97] suspended withdrawals citing technical issues.[98] By the end of the month, Mt. Gox had filed for bankruptcy protection in Japan amid reports that 744,000 bitcoins had been stolen.[99] Months before the filing, the popularity of Mt. Gox had waned as users experienced difficulties withdrawing funds.[100]
Bitcoin may react differently to inflation/deflation: Bitcoin differs significantly from fiat currencies, due to the fact that there is a limited number of bitcoins to be mined. Paper money, on the other hand, can be created at will out of thin air by central banks. Due to its limited supply, Bitcoin may potentially hold its value better than paper money, which can technically have an unlimited supply.
Satoshi's anonymity often raises unjustified concerns because of a misunderstanding of Bitcoin's open-source nature. Everyone has access to all of the source code all of the time and any developer can review or modify the software code. As such, the identity of Bitcoin's inventor is probably as relevant today as the identity of the person who invented paper.
Bitcoin is a type of cryptocurrency: Balances are kept using public and private "keys," which are long strings of numbers and letters linked through the mathematical encryption algorithm that was used to create them. The public key (comparable to a bank account number) serves as the address which is published to the world and to which others may send bitcoins. The private key (comparable to an ATM PIN) is meant to be a guarded secret, and only used to authorize Bitcoin transmissions.
By 2017, Bitcoin dominance had plummeted from 95% to as low as 40% as a direct result of the usability problems. Fortunately, a large portion of the Bitcoin community, including developers, investors, users, and businesses, still believed in the original vision of Bitcoin -- a low fee, peer to peer electronic cash system that could be used by all the people of the world.
In its October 2012 study, Virtual currency schemes, the European Central Bank concluded that the growth of virtual currencies will continue, and, given the currencies' inherent price instability, lack of close regulation, and risk of illegal uses by anonymous users, the Bank warned that periodic examination of developments would be necessary to reassess risks.[179]
Bitcoin may react differently to inflation/deflation: Bitcoin differs significantly from fiat currencies, due to the fact that there is a limited number of bitcoins to be mined. Paper money, on the other hand, can be created at will out of thin air by central banks. Due to its limited supply, Bitcoin may potentially hold its value better than paper money, which can technically have an unlimited supply.
Bitcoin is pseudonymous, meaning that funds are not tied to real-world entities but rather bitcoin addresses. Owners of bitcoin addresses are not explicitly identified, but all transactions on the blockchain are public. In addition, transactions can be linked to individuals and companies through "idioms of use" (e.g., transactions that spend coins from multiple inputs indicate that the inputs may have a common owner) and corroborating public transaction data with known information on owners of certain addresses.[111] Additionally, bitcoin exchanges, where bitcoins are traded for traditional currencies, may be required by law to collect personal information.[112]
Nigel Dodd argues in The Social Life of Bitcoin that the essence of the bitcoin ideology is to remove money from social, as well as governmental, control.[124] Dodd quotes a YouTube video, with Roger Ver, Jeff Berwick, Charlie Shrem, Andreas Antonopoulos, Gavin Wood, Trace Meyer and other proponents of bitcoin reading The Declaration of Bitcoin's Independence. The declaration includes a message of crypto-anarchism with the words: "Bitcoin is inherently anti-establishment, anti-system, and anti-state. Bitcoin undermines governments and disrupts institutions because bitcoin is fundamentally humanitarian."[124][123]
The receiver of the first bitcoin transaction was cypherpunk Hal Finney, who created the first reusable proof-of-work system (RPOW) in 2004.[21] Finney downloaded the bitcoin software on its release date, and on 12 January 2009 received ten bitcoins from Nakamoto.[22][23] Other early cypherpunk supporters were creators of bitcoin predecessors: Wei Dai, creator of b-money, and Nick Szabo, creator of bit gold.[24] In 2010, the first known commercial transaction using bitcoin occurred when programmer Laszlo Hanyecz bought two Papa John's pizzas for 10,000 bitcoin.[25]

The receiver of the first bitcoin transaction was cypherpunk Hal Finney, who created the first reusable proof-of-work system (RPOW) in 2004.[21] Finney downloaded the bitcoin software on its release date, and on 12 January 2009 received ten bitcoins from Nakamoto.[22][23] Other early cypherpunk supporters were creators of bitcoin predecessors: Wei Dai, creator of b-money, and Nick Szabo, creator of bit gold.[24] In 2010, the first known commercial transaction using bitcoin occurred when programmer Laszlo Hanyecz bought two Papa John's pizzas for 10,000 bitcoin.[25]


On 1 August 2017, a hard fork of bitcoin was created, known as Bitcoin Cash.[103] Bitcoin Cash has a larger block size limit and had an identical blockchain at the time of fork. On 24 October 2017 another hard fork, Bitcoin Gold, was created. Bitcoin Gold changes the proof-of-work algorithm used in mining, as the developers felt that mining had become too specialized.[104]
In the blockchain, bitcoins are registered to bitcoin addresses. Creating a bitcoin address requires nothing more than picking a random valid private key and computing the corresponding bitcoin address. This computation can be done in a split second. But the reverse, computing the private key of a given bitcoin address, is mathematically unfeasible. Users can tell others or make public a bitcoin address without compromising its corresponding private key. Moreover, the number of valid private keys is so vast that it is extremely unlikely someone will compute a key-pair that is already in use and has funds. The vast number of valid private keys makes it unfeasible that brute force could be used to compromise a private key. To be able to spend their bitcoins, the owner must know the corresponding private key and digitally sign the transaction. The network verifies the signature using the public key.[3]:ch. 5
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